Patent Publication Number: US-2021169544-A1

Title: Enhanced medical device for use in bodily cavities, for example an atrium

Description:
BACKGROUND 
     Technical Field 
     This disclosure is generally related to surgery, and more particularly to intravascularly or percutaneously deployed medical devices suitable for determining locations of cardiac features or ablating regions of cardiac tissue, or both. 
     Description of the Related Art 
     Cardiac surgery was initially undertaken using highly invasive open procedures. A sternotomy, which is a type of incision in the center of the chest that separates the sternum (chest bone) was typically employed to allow access to the heart. In the past several decades, more and more cardiac operations are performed using intravascular or percutaneous techniques, where access to inner organs or other tissue is gained via a catheter. 
     Intravascular or percutaneous surgeries benefit patients by reducing surgery risk, complications and recovery time. However, the use of intravascular or percutaneous technologies also raises some particular challenges. Medical devices used in intravascular or percutaneous surgery need to be deployed via catheter systems which significantly increase the complexity of the device structure. As well, doctors do not have direct visual contact with the medical devices once the devices are positioned within the body. Positioning these devices correctly and operating the devices successfully can often be very challenging. 
     One example of where percutaneous medical techniques have been employed is in the treatment of a heart disorder called atrial fibrillation. Atrial fibrillation is a disorder in which spurious electrical signals cause an irregular heartbeat. Atrial fibrillation has been treated with open heart methods using a technique known as the “Cox-Maze procedure.” During this procedure, physicians create lesions in a specific pattern in the left and right atria which block various paths taken by the spurious electrical signals. Such lesions were originally created using incisions, but are now typically created by ablating the tissue with various techniques including radio frequency (RF) energy, microwave energy, laser energy and cryogenic techniques. The procedure is performed with a high success rate under the direct vision that is provided in open procedures, but is relatively complex to perform intravascularly or percutaneously because of the difficulty in creating the lesions in the correct locations. Various problems, potentially leading to severe adverse results, may occur if the lesions are placed incorrectly. 
     Key factors which are needed to dramatically improve the intravascular or percutaneous treatment of atrial fibrillation are enhanced methods for deployment, positioning and operation of the treatment device. It is particularly important to know the position of the elements which will be creating the lesions relative to cardiac features such as the pulmonary veins and mitral valve. The continuity and transmurality characteristics of the lesion patterns that are formed can impact the ability to block paths taken within the heart by spurious electrical signals. 
     Several methods have been previously developed for positioning intravascularly or percutaneously deployed medical devices within the heart. For example, commonly assigned U.S. Patent Application Publication 2009/0131930 A1, which is herein incorporated by reference in its entirety, describes a device that is percutaneously guided to a cavity of bodily organ (e.g., a heart). The device can discriminate between fluid within the cavity (e.g., blood) and tissue that forms an inner or interior surface of the cavity (i.e., surface tissue) to provide information or mapping indicative of a position or orientation, or both of the device in the cavity. Discrimination may be based on flow or some other characteristic, for example electrical permittivity or force. The device can selectively ablate portions of the surface tissue based on the information or the mapping. In some cases, the device may detect characteristics (e.g., electrical potentials) indicative of whether ablation was successful. The device includes a plurality of transducer elements that are percutaneously guided in an unexpanded configuration and positioned at least proximate the surface tissue in an expanded configuration. Various expansion mechanisms that include a helical member or an inflatable member are described. 
     The desire to employ intravascular or percutaneous techniques that employ devices that can fit through catheter sheaths of ever smaller sizes (e.g., on the order of approximately 20-24 French in some cases, 18-20 French in other cases and 16-18 French or less in yet other cases) has increased. In some instances, devices deliverable via larger or smaller sized catheter sheets may be employed. Additional challenges therefore exist in creating a device that can assume an unexpanded configuration for passage through these smaller sheaths and yet, can also assume an expanded configuration suitable for positioning a portion of the device proximate to a tissue surface within the cavity. 
     The treatment of atrial fibrillation is but one example of a cardiac surgery that requires improved configurable devices. There are many others that require similar improved devices, such as mitral valve repair. 
     There is a need for enhanced methods and apparatus that allow a portion of a configurable device to assume a delivery or unexpanded configuration suitable for passage though a small bodily opening leading to a bodily cavity, and a deployed or expanded configuration suitable for positioning the portion of the device at least proximate to a tissue that forms an interior surface of the cavity. 
     There is a need for enhanced methods and apparatus that allow a portion of a configurable device to assume a delivery or unexpanded configuration suitable for passage though a small bodily opening leading to a bodily cavity, and a deployed or expanded configuration suitable for positioning the portion of the device at least proximate to a tissue that forms an interior surface of the cavity, the enhanced methods and apparatus being further suitable for the determination of the relative position of anatomical features within the cavity such as pulmonary veins and a mitral valve with respect to the configurable medical device. 
     There is a further need for enhanced methods and apparatus that allow a portion of a configurable device to assume a delivery or unexpanded configuration suitable for passage though a small bodily opening leading to a bodily cavity, and a deployed or expanded configuration suitable for positioning the portion of the device at least proximate to a tissue that forms an interior tissue surface of the cavity, the enhanced methods and apparatus being further suitable for treatment of the interior tissue surface. Treatment may include the formation of lesions in a specified position relative to anatomical features within the cavity such as pulmonary veins and a mitral valve. 
     There is a further need for enhanced methods and apparatus that allow a portion of a configurable device to assume a delivery or unexpanded configuration suitable for passage though a small bodily opening leading to a bodily cavity, and a deployed or expanded configuration suitable for positioning a plurality of transducer elements over a region extending across a majority of an interior tissue surface of the cavity. In particular, there is a need for enhanced methods and apparatus to arrange a plurality of transducer elements in a two- or three-dimensional grid or array capable of mapping, ablating, and or stimulating an inside surface of a bodily cavity or lumen without requiring mechanical scanning. 
     BRIEF SUMMARY 
     The present design of a medical device with enhanced capabilities for deployment, positioning and ablating within a bodily cavity such as an intra-cardiac cavity is disclosed. In particular, the device is configurable from a first or unexpanded configuration in which a portion of the device is sized for delivery to a bodily cavity via a catheter sheath to a second or expanded configuration in which the portion of the device is expanded to position various transducer elements at least proximate a tissue surface within the bodily cavity. The device may employ a method for distinguishing tissue from blood and may be used to deliver positional information of the device relative to ports in the atrium, such as the pulmonary veins and mitral valve. The device may employ characteristics such as blood flow detection, impedance change detection or deflection force detection to discriminate between blood and tissue. The device may also improve ablation positioning and performance by ablating using the same elements used for discriminating between blood and tissue. Other advantages will become apparent from the teaching herein to those of skill in the art. 
     A medical system may be summarized as including a device that includes a plurality of elongate members, each elongate member in the plurality of elongate members including a first end and a second end, an intermediate portion positioned between the first end and the second end, and a respective length between the first end and the second end. A portion of the device is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged successively with respect to one another along a first direction in a stacked arrangement, the stacked arrangement sized to be delivered through a bodily opening leading to a bodily cavity, and an expanded configuration in which each of at least some of the plurality of elongate members are fanned about each of one or more axes. When the portion of the device is in the expanded configuration, at least one elongate member of the plurality of elongate members is arranged such that the one or more axes pass through the at least one elongate member of the plurality of elongate members at two or more locations, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     The one or more axes may include two or more axes, and the at least one elongate member of the plurality of elongate members may be arranged such that each axis of the two or more axes passes through a respective one of the two or more locations when the portion of the device is in the expanded configuration. At least a first axis of the two or more axes may be collinear with a second axis of the two or more axes when the portion of the device is in the expanded configuration. Each elongate member of the at least some of the plurality of elongate members may cross the at least one elongate member of the plurality of elongate members in an X configuration about at least one axis of the one or more axes when the portion of the device is in the expanded configuration. 
     The device may include at least one coupler arranged to physically couple each elongate member of the at least some of the plurality of elongate members together with the at least one elongate member of the plurality of elongate members. The at least one coupler may include a plurality of the couplers, each coupler of the plurality of the couplers spaced from at least one other one of the plurality of the couplers along the respective length of the at least one elongate member of the plurality of elongate members. The at least one coupler may include a flexible line arranged to be received in at least one opening provided in the at least one elongate member of the plurality of elongate members. 
     The at least one elongate member of the plurality of elongate members may be twisted about a twist axis extending along a portion of the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three locations. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. The structure is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, and an expanded configuration in which the respective intermediate portions of at least some of the plurality of elongate members are angularly spaced with respect to one another about a first axis. Each of the at least some of the plurality of elongate members further includes a curved portion arranged to extend along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis when the structure is in the expanded configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the proximal end and the distal end, and at least a first elongate member of the at least some of the plurality of elongate members crosses a second elongate member of the at least some of the plurality of elongate members at a location along the respective length of the second elongate member of the at least some of the plurality of elongate members when the structure is in the expanded configuration. At least a first elongate member of the at least some of the plurality of elongate members may cross a second elongate member of the at least some of the plurality of elongate members in an X configuration at each of at least one of the respective at least two spaced apart locations along the first axis intersected by the at least a portion of the respective curved path extended along by the curved portion of the second elongate member of the at least some of the plurality of elongate members when the structure is in the expanded configuration. 
     The device may include at least one coupler arranged to physically couple each elongate member of the at least some of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members. In some embodiments each elongate member of the plurality of elongate members includes a respective length between the proximal end and the distal end, and the at least one coupler includes a plurality of couplers, each coupler of the plurality of couplers spaced from another coupler of the plurality of couplers along the respective length of the at least one other elongate member of the plurality of elongate members. At least one of the respective at least two spaced apart locations along the first axis intersected by at least the portion of the respective curved path extended along by the curved portion of at least a first elongate member of the at least some of the plurality of elongate members may be positioned between a first coupler of the plurality of couplers and at least a second coupler of the plurality of couplers when the structure is in the expanded configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the proximal end and the distal end, and at least one elongate member of the plurality of elongate members is twisted about a twist axis extending along a portion of the respective length of the at least one elongate member of the plurality of elongate members. The respective at least two spaced apart locations along the first axis intersected by at least the portion of the respective curved path extended along by the curved portion of at least a first one of the at least some of the plurality of elongate members when the structure is in the expanded configuration may include at least three spaced apart locations along the first axis. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members and at least a first coupler arranged to physically couple each elongate member of the plurality of elongate members together with each other of the elongate members of the plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, a respective length between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. A portion of the device is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to each other front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, each elongate member of the plurality of elongate members arranged to be advanced distal end first into the bodily cavity, and an expanded configuration in which at least a first elongate member of the plurality of elongate members is positioned to cross a second elongate member of the plurality of elongate members in an X configuration at a first location spaced along the respective length of the second elongate member from a location of at least the first coupler. The first location may be positioned between at least the first coupler and the respective distal end of the second elongate member. The first location may be spaced from the respective distal end of the second elongate member. 
     At least the first elongate member of the plurality of elongate members may be positioned to cross the second elongate member of the plurality of elongate members in an X configuration at a second location spaced from the first location along the respective length of the second elongate member of the plurality of elongate members when the portion of the device is in the expanded configuration. The medical system may further include a second coupler arranged to physically couple each elongate member of the plurality of elongate members together with each other of the elongate members of the plurality of elongate members. The first location may be spaced along the respective length of the second elongate member from a location of the second coupler and the first location may be positioned between at least the first coupler and the second coupler when the portion of the device is in the expanded configuration. 
     The respective intermediate portions of each of at least some of the plurality of elongate members may be angularly spaced, like lines of longitude, with respect to one another about a first axis extending through the first location when the portion of the device is in the expanded configuration. At least one elongate member of the plurality of elongate members may be twisted about an axis extending along a portion of the respective length of the at least one elongate member of the plurality of elongate members. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, a respective length between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. Each intermediate portion further includes a respective pair of side edges that define a portion of a periphery of at least one of the front surface and the back surface, the side edges of each pair of side edges opposed to one another across at least a portion of the length of the respective elongate member. The structure is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, and an expanded configuration in which the structure is sized too large for delivery through the bodily opening leading to the bodily cavity. At least a first elongate member of the plurality of elongate members is positioned such that one of the side edges of the pair of side edges of the first elongate member crosses one of the side edges of the pair of side edges of a second elongate member of the plurality of elongate members at each of a plurality of spaced apart locations along the respective length of the second elongate member as viewed normally to each of a respective one of a plurality of portions of the front surface of the respective intermediate portion of the second elongate member over which each of the plurality of spaced apart locations along the respective length of the second elongate member is positioned when the structure is in the expanded configuration. 
     The respective intermediate portions of at least some of the plurality of elongate members may be fanned with respect to one another about an axis when the structure is in the expanded configuration. At least some of the plurality of elongate members may be fanned with respect to the second elongate member about one or more axes when the structure is in the expanded configuration, the second elongate member arranged such that the one or more axes passes through the second elongate member at each of two or more locations, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the second elongate member. The plurality of spaced apart locations along the respective length of the second elongate member may include at least three spaced apart locations along the respective length of the second elongate member. 
     The device may further include at least one coupler arranged to physically couple at least some of the plurality of elongate members together with the second elongate member, the at least one coupler spaced along the respective length of the second elongate member from at least one of the plurality of spaced apart locations along the respective length of the second elongate member when the structure is in the expanded configuration. The at least one coupler may be positioned along the respective length of the second elongate member relatively closer to one of the respective proximal end and the respective distal end of the second elongate member than each of at least two of the plurality of spaced apart locations along the respective length of the second elongate member when the structure is in the expanded configuration. Each elongate member of the plurality of elongate members may be arranged to be advanced distal end first into the bodily cavity when the structure is in the unexpanded configuration, and the at least one coupler may be positioned along the respective length of the second elongate member relatively closer to the respective distal end of the second elongate member than at least one of the plurality of spaced apart locations along the respective length of the second elongate member when the structure is in the expanded configuration. 
     At least one elongate member of the plurality of elongate members may be twisted about an axis extending along a portion of the respective length of the at least one elongate member of the plurality of elongate members. The back surface of the respective intermediate portion of at least the first elongate member may, or may not be separated from the front surface of the respective intermediate portion of the second elongate member at each of at least one of the plurality of spaced apart locations along the respective length of the second elongate member when the structure is in the expanded configuration. 
     The one of the side edges of the pair of side edges of the first elongate member may be opposed to the one of the side edges of the pair of side edges of the second elongate member in the stacked array when the structure is in the unexpanded configuration. The first elongate member of the plurality of elongate members may be positioned such that the other one of the side edges of the pair of side edges of the first elongate member crosses the other one of the side edges of the pair of side edges of the second elongate member at each of one or more locations along the respective length of the second elongate member as viewed normally to each of a respective one of one or more portions of the front surface of the respective intermediate portion of the second elongate member over which each of the one or more locations along the respective length of the second elongate member is positioned when the structure is in the expanded configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members and at least one coupler arranged to physically couple at least a first elongate member of the plurality of elongate members together with a second elongate member of the plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface, a respective geodesic extending along a portion of each of the elongate members between a location at least proximate the proximal end and another location at least proximate the distal end of the elongate member. Each geodesic is located at least on the front surface of the respective intermediate portion of the elongate member. The structure is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, each elongate member of the plurality of elongate members arranged to be advanced distal end first into the bodily cavity, and an expanded configuration in which the structure is sized too large for delivery through the bodily opening to the bodily cavity. At least the first elongate member is positioned such that the respective geodesic of the first elongate member crosses the respective geodesic of the second elongate member at a first location along the geodesic of the second elongate member as viewed normally to a respective portion of the front surface of the intermediate portion of the second elongate member over which the first location along the respective geodesic of the second elongate member is positioned. The first location is spaced from a location of the at least one coupler along the second elongate member, and the first location may be positioned between the at least one coupler and the respective distal end of the second elongate member when the structure is in the expanded configuration. 
     The respective intermediate portions of at least some of the plurality of elongate members may be fanned with respect to one another about an axis when the structure is in the expanded configuration. At least some of the plurality of elongate members may be fanned with respect to the second elongate member about one or more axes when the structure is in the expanded configuration, the second elongate member curved such that the one or more axes pass through the second elongate member at each of two or more locations, each location of the two or more locations spaced from each other between the respective proximal and distal ends of the second elongate member. The respective intermediate portions of at least some of the plurality of elongate members may be angularly spaced with respect to one another about a first axis, like lines of longitude, when the structure is in the expanded configuration, each of the least some of the plurality of elongate members including a curved portion arranged to extend along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis. 
     At least one elongate member of the plurality of elongate members may be twisted about an axis extending along a portion of the at least one elongate member of the plurality of elongate members located between the respective proximal and distal ends of the at least one elongate member of the plurality of elongate members. 
     The structure may include at least one other coupler arranged to physically couple at least the first elongate member together with the second elongate member, the at least one other coupler positioned relatively closer to the respective distal end of the second elongate member than the at least one coupler, and the first location may be positioned between the at least one coupler and the at least one other coupler along the second elongate member when the structure is in the expanded configuration. 
     The structure may include at least one other coupler arranged to physically couple at least the first elongate member together with the second elongate member, the at least one other coupler spaced from the at least one coupler along the second elongate member, and the first location may be positioned along the second elongate member relatively closer to the respective distal end of the second elongate member than each of the at least one coupler and the at least one other coupler when the structure is in the expanded configuration. 
     The at least one coupler may include a flexible line arranged to pass through an opening provided in each of at least one of the first elongate member and the second elongate member. The back surface of the respective intermediate portion of at least the first elongate member may contact the front surface of the respective intermediate portion of the second elongate member at the first location when the structure is in the expanded configuration. The back surface of the respective intermediate portion of at least the first elongate member may be separated from the front surface of the respective intermediate portion of the second elongate member at the first location when the structure is in the expanded configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members, each elongate member of the plurality of elongate members including a proximal end, a distal end, and a respective intermediate portion positioned between the proximal end and the distal end. The structure is selectively moveable between a delivery configuration in which the structure is suitably sized to allow the structure to be intravascularly or percutaneously delivered to a bodily cavity, and a deployed configuration in which the structure is expanded to have a size too large to allow the structure to be intravascularly or percutaneously delivered to the bodily cavity. The plurality of elongate members include a first set of the elongate members and a second set of the elongate members, at least the respective intermediate portions of the elongate members in each of the first and the second sets of the elongate members pivoting about at least one axis when the structure is moved into the deployed configuration, each of the respective intermediate portions of the elongate members in the first set of the elongate members pivoting along a first angular direction and each of the respective intermediate portions of the elongate members in the second set of the elongate members pivoting along a second angular direction opposite to the first angular direction. At least the respective intermediate portion of at least one of the elongate members in the first set of the elongate members is positioned between the respective intermediate portions of at least two of the elongate members in the second set of the elongate members when the structure is in the delivery configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a thickness, and the respective intermediate portion of each elongate member of the plurality of elongate members includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. At least one portion of the respective front surface of each elongate member of the plurality of elongate members may be positioned to directly face an interior tissue surface of the bodily cavity when the structure is moved into the deployed configuration within the bodily cavity, and the respective front surface of the at least one of the elongate members in the first set of the elongate members may be positioned to directly face the respective back surface of one of the at least two of the elongate members in the second set of the elongate members when the structure is in the delivery configuration. The respective intermediate portions of the elongate members of the plurality of elongate members may be arranged with respect to one another front surface-toward-back surface in a stacked array when the structure is in the delivery configuration. At least the respective intermediate portions of the elongate members in the first set of the elongate members may be interleaved with at least the respective intermediate portions of the elongate members in the second set of the elongate members in a stacked array when the structure is in the delivery configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal and distal ends of the elongate member, and at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate members in an X configuration at each of at least one location along the respective length of the second elongate member of the plurality of elongate members when the structure is in the deployed configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal and distal ends of the elongate member, and at least one elongate member of the plurality of elongate members is arranged such that the at least one axis passes through the at least one elongate member of the plurality of elongate members at each of two or more locations, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members when the structure is in the deployed configuration. The two or more locations may include at least three spaced apart locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including at least one transducer controller; and a device that includes a plurality of transducer elements and a plurality of flexible circuit structures. Each of the flexible circuit structures includes at least one flexible substrate and a set of one or more electrical conductors carried by the at least one flexible substrate, at least some the electrical conductors in the set of one or more electrical conductors providing at least a portion of a signal path between the at least one transducer controller and at least some of the transducer elements. At least one portion of each of the plurality of flexible circuit structures is positionable within a bodily cavity. A portion of the device is selectively moveable between an unexpanded configuration in which at least the respective at least one portions of the plurality of flexible circuit structures are arranged successively along a first direction in a stacked arrangement, the stacked arrangement sized to be intravascularly or percutaneously delivered through a bodily opening leading to the bodily cavity, and an expanded configuration in which the respective at least one portions of the plurality of flexible circuit structures are angularly spaced with respect to one another about at least one axis. The respective at least one portion of each of at least some of the flexible circuit structures may pivot about the least one axis when the portion of the device is moved between the unexpanded configuration and the expanded configuration. 
     At least one of the plurality of flexible circuit structures may be arranged such that the at least one axis passes through the at least one of the plurality of flexible circuit structures at each of two or more spaced apart locations when the portion of the device is in the expanded configuration. The two or more spaced apart locations may include at least three spaced apart locations. At least a first one of the plurality of flexible circuit structures may cross a second one of the plurality of flexible circuit structures in an X configuration when the portion of the device is in the expanded configuration. 
     The respective at least one flexible substrate of each of at least some of the plurality of flexible circuit structures may include a plurality of material layers, at least one of the material layers bonded to at least one other of the material layers with an adhesive. The respective at least one portion of at least one of the plurality of flexible circuit structures may include a different number of material layers than at least another portion of the at least one of the plurality of flexible circuit structures. At least one of the plurality of transducer elements may be carried by the respective at least one portion of each of the at least some of the plurality of flexible circuit structures. Each of the plurality of flexible circuit structures may be a printed flexible circuit structure. At least one of the plurality of flexible circuit structures includes a twist about a twist axis. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a first end, a second end, an intermediate portion positioned between the first end and the second end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. A portion of the device is selectively moveable between a delivery configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, and a deployed configuration in which at least the respective intermediate portion of each elongate member of at least some of the plurality of elongate members is arranged within the bodily cavity to position a first portion of the front surface of the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members to face a first portion of an interior tissue surface within the bodily cavity and to position a second portion of the front surface of the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members to face a second portion of the interior tissue surface, where the second portion of the interior tissue surface is opposed across the bodily cavity from the first portion of the interior tissue surface. 
     The at least some of the plurality of elongate members may be bent about a bending axis into an arcuate stacked array when the portion of the device is in the deployed configuration. 
     At least the respective intermediate portions of the elongate members of the at least some of the plurality of elongate members may be fanned with respect to at least one elongate member of the plurality of elongate members about each of one or more axes when the portion of the device is in the deployed configuration. In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective first end and the respective second end of the elongate member, and the one or more axes pass through the at least one elongate member of the plurality of elongate members at two or more locations when the portion of the device is in the deployed configuration, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three spaced apart locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective first end and the respective second end of the elongate member, and at least a first elongate member of the at least some of the plurality of elongate members crosses a second elongate member of the at least some of the plurality of elongate members in an X configuration at each of one or more locations along the respective length of the second elongate member of the at least some of the plurality of elongate members when the portion of the device is in the deployed configuration. At least one location of the one or more locations may be spaced along the respective length of the second elongate member of the at least some of the plurality of elongate members from each of the respective first end and the respective second end of the second elongate member. The at least one location of the one or more locations may be located along the respective length of the second elongate member of the at least some of the plurality of elongate members between the respective first and second portions of the front surface of the respective intermediate portion of the second elongate member of the at least some of the plurality of elongate members. The one or more locations along the respective length of the second elongate member of the at least some of the plurality of elongate members may include at least two spaced apart locations along the respective length of the second elongate member of the at least some of the plurality of elongate members. The device may further include at least one coupler that physically couples at least the first and the second elongate members of the at least some of the plurality of elongate members together. The at least one location of the one or more locations may be spaced along the respective length of the second elongate member of the at least some of the plurality of elongate members from a location of the at least one coupler when the portion of the device is in the deployed configuration. The device may further include a plurality of couplers which each physically couples at least the second elongate member of the at least some of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another of the plurality of couplers along the respective length of the second elongate member of the at least some of the plurality of elongate members. The at least one location of the one or more locations may be located along the respective length of the second elongate member of the at least some of the plurality of elongate members between the respective locations of at least two of the plurality of couplers when the portion of the device is in the deployed configuration. The at least one location of the one or more locations may be located along the respective length of the second elongate member of the at least some of the plurality of elongate members relatively closer to the respective first end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the portion of the device is in the deployed configuration, the respective first end of each elongate member of the plurality of elongate members arranged to be advanced into the bodily cavity before the respective second end of the elongate member of the plurality of elongate members when the portion of the device is in the delivery configuration. 
     Each elongate member of the at least some of the plurality of elongate members may have a volute shape profile when the portion of the device is in the deployed configuration. 
     Each of the first and the second portions of the front surface of the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members may include respective ones of one or more transducers which face a respective one of a pair of diametrically opposed portions of the interior tissue surface within the bodily cavity when the portion of the device is in the deployed configuration in use. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, and a respective intermediate portion positioned between the proximal end and the distal end. The structure is selectively moveable between a delivery configuration in which the structure is suitably sized to be intravascularly or percutaneously delivered to a bodily cavity, and a deployed configuration in which the structure has a size too large to be intravascularly or percutaneously delivered to the bodily cavity. The respective intermediate portions of at least two of the plurality of elongate members are angularly spaced with respect to one another about a first axis, similar to lines of longitude, and each of the at least two of the plurality of elongate members includes a curved portion that extends along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis when the structure is in the deployed configuration. The medical system further includes a handle portion, and a shaft member. A portion of the shaft member sized and arranged to deliver the structure intravascularly or percutaneously to the bodily cavity. The shaft member includes a first end positioned at least proximate to the handle portion and a second end physically coupled to the structure at one or more locations on the structure. Each of the one or more locations on the structure to which the second end is physically coupled is positioned to one side of at least one spatial plane coincident with the first axis when the structure is in the deployed configuration. 
     At least one of the one or more locations on the structure to which the second end is physically coupled may be at least proximate to the respective proximal ends of at least some of the plurality of elongate members. Each of the at least two of the plurality of elongate members may extend tangentially from the second end of the shaft member when the structure is in the deployed configuration. Each of the proximal ends of the elongate members of the plurality of elongate members may be positioned to one side of the at least one spatial plane coincident with the first axis when the structure is in the deployed configuration. Each of the distal ends of the elongate members of the plurality of elongate members may be positioned to one side of the at least one spatial plane coincident with the first axis when the structure is in the deployed configuration. The shaft member may be arranged to avoid intersection by the first axis when the structure is in the deployed configuration. The shaft member may be arranged to avoid intersection of the second end of the shaft member by the first axis when the structure is in the deployed configuration. 
     The respective intermediate portion of each elongate member of the plurality of elongate members may include a front surface and a back surface opposite across a thickness of the elongate member from the front surface, and at least the respective intermediate portions of the elongate members of the plurality of elongate members may be arranged with respect to one another front surface-toward-back surface in a stacked array when the structure is in the delivery configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and the first axis passes through each of at least one elongate member of the plurality of elongate members at two or more locations when the structure is in the deployed configuration, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three locations spaced along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate member in an X configuration at a location along the respective length of the second elongate member spaced from each of the respective proximal end and the respective distal end of the second elongate member when the structure is in the deployed configuration. Each elongate member of at least some of the plurality of elongate members may have a volute shape profile when the structure is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. A portion of the device is selectively moveable between a delivery configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through a bodily opening leading to a bodily cavity, and a deployed configuration in which the respective intermediate portion of each elongate member of at least some of the plurality of elongate members has a volute shape profile. 
     At least the respective intermediate portions of the elongate members of the at least some of the plurality of elongate members may be fanned with respect to at least one elongate member of the plurality of elongate members about at least one axis when the portion of the device is in the deployed configuration. In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and the at least one axis passes through the at least one elongate member of the plurality of elongate members at two or more locations when the portion of the device is in the deployed configuration, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three spaced apart locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate member in an X configuration at each of one or more locations along the respective length of the second elongate member spaced from each of the respective proximal end and the respective distal end of the second elongate member when the portion of the device is in the deployed configuration. The device may further include a plurality of couplers which each physically couples at least the second elongate member of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another of the plurality of couplers along the respective length of the second elongate member of the plurality of elongate members. At least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members between the respective locations of at least two of the plurality of couplers when the portion of the device is in the deployed configuration. Each elongate member of the plurality of elongate members in the stacked array may be arranged to be advanced distal end first into the bodily cavity when the portion of the device is in the delivery configuration, and at least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members relatively closer to the respective distal end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the portion of the device is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a catheter sheath that includes a first end, a second end and a lumen therebetween. The medical system further includes a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. A portion of the device is selectively moveable between a first configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through the lumen of the catheter sheath, each elongate member of the plurality of elongate members arranged to be advanced distal end first out from the lumen of the catheter sheath, and a second configuration in which the respective distal end of each of at least some of the plurality of elongate members moves along a respective coiled path as the elongate members advance out of the lumen of the catheter sheath, the respective intermediate portions of each elongate member of the at least some of the plurality of elongate members bent about a respective bending axis into an arcuate stacked array sized too large for delivery though the lumen of the catheter sheath. 
     At least part of the coiled path may extend along a volute path. At least the respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may have a volute shape profile when the portion of the device is in the second configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and the portion of the device is further selectively moveable between at least the second configuration and a third configuration in which at least the respective intermediate portions of the elongate members of the at least some of the plurality of elongate members are fanned with respect to at least one elongate member of the plurality of elongate members about each of one or more axes. The one or more axes may pass through the at least one elongate member of the plurality of elongate members at two or more locations when the portion of the device is in the third configuration, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three spaced apart locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and the portion of the device is further selectively moveable between at least the second configuration and a third configuration in which at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate members in an X configuration at each of one or more locations along the respective length of the second elongate member spaced from each of the respective proximal end and the respective distal end of the second elongate member. The device may further include a plurality of couplers which each physically couples at least the second elongate member of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another of the plurality of couplers along the respective length of the second elongate member. At least one location of the one or more locations may be located along the respective length of the second elongate member between the respective locations of at least two of the plurality of couplers when the portion of the device is in the third configuration. At least one location of the one or more locations may be located along the respective length of the second elongate member relatively closer to the respective distal end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the portion of the device is in the third configuration. 
     At least one elongate member of the at least some of the plurality of elongate members may have an annular shape profile in the second configuration, the annular profile interrupted by a separation. The respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may be preformed to autonomously bend about the respective bending axis of the elongate member of the at least some of the plurality of elongate members as the respective intermediate portion is advanced out from the lumen of the catheter sheath. The medical system may further include a bending unit that acts on at least one of the plurality of elongate members to bend the respective intermediate portion of each elongate member of the at least some of the plurality of elongate members about the respective bending axis of the elongate member of the at least some of the plurality of elongate members when the portion of the device is moved between the first configuration and the second configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a first end and a second end, an intermediate portion between the first end and the second end, and a respective length between the first end and the second end. The device further includes a plurality of couplers that includes a proximal coupler, a distal coupler and at least one intermediate coupler. Each coupler of the plurality of couplers is spaced from another of the plurality of couplers along the respective length of at least a first elongate member of the plurality of elongate members with the at least one intermediate coupler positioned between the proximal coupler and the distal coupler. Each coupler of the plurality of couplers is arranged to couple at least the first elongate member together with least one other elongate member of the plurality of elongate members. A portion of the device is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are sized and arranged to be delivered through a bodily opening leading to a bodily cavity within a body, the bodily cavity having an interior tissue surface interrupted by a port of the bodily opening, and the plurality of couplers arranged to be advanced distal coupler first into the bodily cavity, and an expanded configuration in which at least the respective intermediate portions of at least some of the plurality of elongate members are arranged such that at least the distal coupler is located within the bodily cavity at a respective location positioned relatively closer to the port of the bodily opening than a respective location of the at least one intermediate coupler within the bodily cavity. 
     When the portion of the device is in the expanded configuration, the proximal coupler may be positioned relatively closer to the port of the bodily opening than the distal coupler within the bodily cavity. When the portion of the device is in the expanded configuration, the distal coupler may be positioned relatively closer to the port of the bodily opening than the proximal coupler. At least the respective intermediate portions of the at least some of the plurality of elongate members may be arranged such that the proximal coupler is located within the body at a location outside of the bodily cavity when the portion of the device is in the expanded configuration. 
     At least the respective intermediate portions of the elongate members of the plurality of elongate members may be arranged successively with respect to one another along a first direction in a stacked arrangement when the portion of the device is in the unexpanded configuration. 
     The respective intermediate portion of each elongate member of the plurality of elongate members may include a thickness, a front surface and a back surface opposite across the thickness from the front surface. At least the respective intermediate portions of the elongate members of the plurality of elongate members may be arranged with respect to one another front surface-toward-back surface in a stacked array sized for delivery through the bodily opening leading to the bodily cavity when the portion of the device is in the unexpanded configuration, and the respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may be bent about a respective bending axis when the portion of the device is in the expanded configuration. The respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may be preformed to autonomously bend about the respective bending axis of the elongate member of the at least some of the plurality of elongate members when the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members is advanced into the bodily cavity. 
     At least the respective intermediate portions of the elongate members of the at least some of the plurality of elongate members may be fanned with respect to at least one elongate member of the plurality of elongate members about each of one or more axes, and the one or more axes may pass through the at least one elongate member of the plurality of elongate members at two or more locations when the portion of the device is in the expanded configuration. Each location of the two or more locations may be spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three spaced apart locations along the respective length of the at least one elongate member of the plurality of elongate members. At least a second elongate member of the plurality of elongate members may cross the first elongate member at a location along the respective length of the first elongate member spaced from each of the proximal coupler and the distal coupler when the portion of the device is in the expanded configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, an intermediate portion positioned between the proximal end and the distal end, and a thickness. Each intermediate portion includes a front surface and a back surface opposite across the thickness of the elongate member from the front surface. A respective geodesic defined for each elongate member extends along the respective elongate member between a first location at least proximate the proximal end and a second location at least proximate the distal end of the elongate member, each geodesic defined at least on the front surface of the respective intermediate portion of the elongate member. A portion of the device is selectively moveable between an unexpanded configuration in which at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged front surface-toward-back surface in a stacked array sized to be delivered through a bodily opening leading to a bodily cavity having an interior tissue surface interrupted by a port of the bodily opening, each elongate member of the plurality of elongate members arranged to be advanced distal end first into the bodily cavity, and an expanded configuration in which at least a first elongate member of the plurality of elongate members is positioned to cross a second elongate member of the plurality of elongate members at each of one or more crossing locations within the bodily cavity. Each of the one or more crossing locations is located on the front surface of the second elongate member at a respective one of one or more locations along the respective geodesic of the second elongate member that is crossed by the respective geodesic of the first elongate member as viewed normally to a respective one of one or more portions of the front surface of the second elongate member over which each respective one of the one or more locations along the respective geodesic of the second elongate member is located. The elongate members of the plurality of elongate members are arranged such that the respective distal end of each elongate member of at least some of the plurality of elongate members is positioned within the bodily cavity at a respective location located relatively closer to the port of the bodily opening than at least one crossing location of the one or more crossing locations within the bodily cavity when the portion of the device is in the expanded configuration. 
     The one or more crossing locations within the bodily cavity may include at least one other crossing location, the least one other crossing location located within the bodily cavity relatively closer to the port of the bodily opening than the respective location within the bodily cavity of the respective distal end of each elongate member of the at least some of the plurality of elongate members when the portion of the device is moved between the unexpanded configuration and the expanded configuration. 
     The respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may be arranged within the bodily cavity to position a first portion of the front surface of the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members to face a first portion of an interior tissue surface within the bodily cavity and to position a second portion of the front surface of the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members to face a second portion of the interior tissue surface when the portion of the device is in the expanded configuration, the second portion of the interior tissue surface positioned diametrically opposite to the first portion of the interior tissue surface. 
     The device may further include a plurality of couplers which each physically couples at least the second elongate member together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another coupler of the plurality of couplers along the second elongate member. The location of the at least one crossing location along the respective geodesic of the second elongate member may be positioned along the second elongate member between the respective locations of two of the plurality of couplers when the portion of the device is in the expanded configuration. The location of the at least one crossing location along the respective geodesic of the second elongate member may be located along the second elongate member relatively closer to the respective distal end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the portion of the device is in the expanded configuration. 
     The respective intermediate portion of each elongate member of the at least some of the plurality of elongate members may be preformed to autonomously bend about a respective bending axis as the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members is advanced into the bodily cavity. The medical system may further include a bending unit that acts on at least one of the plurality of elongate members to bend each elongate member of the at least some of the plurality of elongate members about a respective bending axis within the bodily cavity when the portion of the device is moved between the unexpanded configuration and the expanded configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a catheter sheath that includes a first end, a second end and a lumen therebetween. The medical system further includes a structure that includes a plurality of elongate members, each elongate member of the plurality of elongate members including a proximal end, a distal end, and an intermediate portion positioned between the proximal and the distal ends. The structure is selectively moveable between an unexpanded configuration in which the elongate members of the plurality of elongate members are arranged successively with respect to one another along a first direction in a stacked arrangement, the stacked arrangement sized to be delivered through the lumen of the catheter sheath from the first end of the catheter sheath towards the second end of the catheter sheath, a portion of at least one elongate member of the plurality of elongate members in the stacked arrangement positioned to be advanced from the second end of the catheter sheath prior to each of the other elongate members of the plurality of elongate members in the stacked arrangement as the stacked arrangement is delivered through the lumen of the catheter sheath from the first end of the catheter sheath towards the second end of the catheter sheath, and an expanded configuration in which the structure is expanded to have a size too large to be delivered through the lumen of the catheter sheath. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the proximal and the distal ends of the elongate member, and the respective length of the at least one elongate member of the plurality of elongate members is longer than each of the respective lengths of the other elongate members of the plurality of elongate members. The portion of the at least one elongate member of the plurality of elongate members may be cantilevered from the stacked arrangement when the structure is in the unexpanded configuration. The at least one elongate member of the plurality of elongate members may include an outermost elongate member in the stacked arrangement when the structure is in the unexpanded configuration. The at least one elongate member of the plurality of elongate members may include an elongate member located between two outermost elongate members in the stacked arrangement when the structure is in the unexpanded configuration. The at least one elongate member of the plurality of elongate members may include at least two elongate members of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the proximal and the distal ends of the elongate member, and at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate members in an X configuration at each of one or more locations along the respective length of the second elongate member when the structure is in the expanded configuration, each of the one or more locations spaced from each of the respective proximal end and the respective distal end of the second elongate member. 
     The respective intermediate portion of each elongate member of at least some of the plurality of elongate members may be preformed to autonomously bend about a respective bending axis as the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members is advanced from the second end of the catheter sheath as the stacked arrangement is delivered through the lumen of the catheter sheath from the first end of the catheter sheath towards the second end of the catheter sheath. The medical system may further include a bending unit that acts on at least one of the plurality of elongate members to bend each elongate member of at least some of the plurality of elongate members about a respective bending axis when the respective intermediate portion of the elongate member of the at least some of the plurality of elongate members is advanced from the second end of the catheter sheath. 
     Each elongate member of the plurality of elongate members may be arranged to be advanced distal end first as the stacked arrangement is delivered through the lumen of the catheter sheath from the first end of the catheter sheath towards the second end of the catheter sheath. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, a respective intermediate portion positioned between the proximal end and the distal end, and a respective length between the proximal and the distal ends. A method employing the medical system may be summarized as including intravascularly or percutaneously delivering at least a portion of the structure to a location within an intra-cardiac cavity formed at least in part by a tissue wall having an interior tissue surface, each elongate member of the plurality of elongate members introduced distal end first into the intra-cardiac cavity and the distal end of each elongate member of the plurality of elongate members curling away from the interior tissue surface as the distal end of the elongate member of the plurality of elongate members is advanced along a respective path within the intra-cardiac cavity during the intravascular or percutaneous delivery. The method further includes fanning at least some of the plurality of elongate members with respect to at least one elongate member of the plurality of elongate members about each of one or more axes within the intra-cardiac cavity. The one or more axes pass through the at least one elongate member of the plurality of elongate members at two or more locations, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments the respective intermediate portion of each elongate member of the plurality of elongate members includes a front surface and a back surface opposite across a thickness of the elongate member from the front surface, and the method further includes positioning a first portion of the front surface of the respective intermediate portion of at least a first elongate member of the plurality of elongate members to face a first portion of the interior tissue surface and positioning a second portion of the front surface of the respective intermediate portion of at least the first elongate member of the plurality of elongate members to face a second portion of the interior tissue surface, the second portion of the interior tissue surface positioned diametrically opposite to the first portion of the interior tissue surface. 
     In some embodiments, the respective intermediate portion of each elongate member of the plurality of elongate members may include a front surface and a back surface opposite across a thickness of the elongate member from the front surface, and at least the respective intermediate portions of the elongate members of the plurality of elongate members may be arranged with respect to one another front surface-toward-back surface in a stacked array when intravascularly or percutaneously delivering at least the portion of the structure to the location within the intra-cardiac cavity. 
     The method may further include crossing a second elongate member of the plurality of elongate members with a first elongate member of the plurality of elongate members in an X configuration at each of one or more locations along the respective length of the second elongate member, each of the one or more locations spaced from each of the respective proximal end and the respective distal end of the second elongate member. 
     Various methods may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member includes a first end, a second end, and an intermediate portion positioned between the first and the second ends. Each intermediate portion includes a thickness, a front surface and a back surface opposite across the thickness from the front surface. The structure further includes a proximal portion and a distal portion, each of the proximal and the distal portions of the structure including a respective part of each of at least some of the plurality of elongate members. The structure is selectively moveable between a delivery configuration in which the structure is sized for delivery through a bodily opening leading to a bodily cavity, at least the respective intermediate portions of the elongate members of the plurality of elongate members arranged front surface-toward-back surface in a stacked array when the structure is in the delivery configuration, and a deployed configuration in which the structure is sized too large for delivery through the bodily opening leading to the bodily cavity, the proximal portion of the structure forming a first domed shape and the distal portion of the structure forming a second domed shape when the structure is in the deployed configuration. 
     At least one of the first domed shape and the second domed shape may have a first radius of curvature in a first spatial plane and a second radius of curvature in a second spatial plane that intersects the first spatial plane, a magnitude of the second radius of curvature different than a magnitude of the first radius of curvature. 
     Each elongate member of the at least some of the plurality of elongate members may cross at least one other elongate member of the plurality of elongate members at least at one location between the proximal and the distal portions of the structure when the structure is in the deployed configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the first end and the second end of the elongate member, and each elongate member of the at least some of the plurality of elongate members crosses at least one other elongate member of the plurality of elongate members at each of a plurality of spaced apart locations along the respective length of at least the one other elongate member of the plurality of elongate members when the structure is in the deployed configuration. At least some of the plurality of elongate members may be fanned with respect to at least one of the plurality of elongate members about an axis passing through a location between the proximal and the distal portions of the structure when the structure is in the deployed configuration. 
     In some embodiments, the medical system further includes at least one flexible line arranged to physically couple the proximal and the distal portions of the structure together, the at least one flexible line manipulable to vary a distance between the proximal and the distal portions of the structure when the structure is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, and a respective intermediate portion positioned between the proximal end and the distal end. The structure is selectively moveable between a delivery configuration in which the structure is suitably sized to be intravascularly or percutaneously delivered to a bodily cavity, and a deployed configuration in which the structure is expanded to have a size too large to be intravascularly or percutaneously delivered to the bodily cavity. The respective intermediate portions of at least some of the plurality of elongate members are angularly spaced with respect to one another about a first axis, similar to lines of longitude, when the structure is in the deployed configuration. The medical system further includes a handle portion and a shaft member, a portion of the shaft member sized and arranged to deliver the structure intravascularly or percutaneously to the bodily cavity. The shaft member includes a first end positioned at least proximate to the handle portion and a second end physically coupled to the structure. In the deployed configuration the structure and the shaft member have a projected outline in the shape of the Greek letter rho, where a point where a loop of the letter would intersect a tail of the letter may be open or not closed. Such outline may be either without, or with, an opening defined by a loop portion of the letter represented. 
     Each of the at least some of the plurality of elongate members may include a curved portion that extends along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis when the structure is in the deployed configuration. 
     In some embodiments the respective intermediate portion of each elongate member of the plurality of elongate members includes a front surface and a back surface opposite across a thickness of the elongate member, and at least the respective intermediate portions of the elongate members of the plurality of elongate members are arranged with respect to one another front surface-toward-back surface in a stacked array when the structure is in the delivery configuration. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and the first axis passes through each of at least one elongate member of the plurality of elongate members at two or more locations when the structure is in the deployed configuration, each location of the two or more locations spaced from another location of the two or more locations along the respective length of the at least one elongate member of the plurality of elongate members. The two or more locations may include at least three locations spaced along the respective length of the at least one elongate member of the plurality of elongate members. 
     In some embodiments each elongate member of the plurality of elongate members includes a respective length between the respective proximal end and the respective distal end of the elongate member, and at least a first elongate member of the plurality of elongate members crosses a second elongate member of the plurality of elongate member in an X configuration at each of one or more locations along the respective length of the second elongate member spaced from each of the respective proximal end and the respective distal end of the second elongate member when the structure is in the deployed configuration. The medical system may further include a plurality of couplers which each physically couples at least the second elongate member of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another of the plurality of couplers along the respective length of the second elongate member of the plurality of elongate members. At least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members between the respective locations of at least two of the plurality of couplers when the structure is in the deployed configuration. Each elongate member of the plurality of elongate members may be arranged to be advanced distal end first into the bodily cavity when the structure is in the delivery configuration, and at least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members relatively closer to the respective distal end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the structure is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a proximal portion and a distal portion. The structure is selectively movable between a delivery configuration in which the structure is sized for delivery through a bodily opening leading to a bodily cavity, the structure arranged to be advanced distal portion first into the bodily cavity, and a deployed configuration in which the structure is sized too large for delivery through the bodily opening leading to the bodily cavity. The proximal portion of the structure forms a first domed shape and the distal portion of the structure forms a second domed shape when the structure is in the deployed configuration. The proximal and the distal portions of the structure are arranged in a clam shell configuration when the structure is in the deployed configuration. 
     At least one of the first domed shape and the second domed shape may have a first radius of curvature in a first spatial plane and a second radius of curvature in a second spatial plane that intersects the first spatial plane. A magnitude of the second radius of curvature may be different than a magnitude of the first radius of curvature. The proximal and the distal portions of the structure may be physically coupled together to pivot with respect to one another when the structure is in the deployed configuration. The proximal and the distal portions of the structure may be pivotably coupled together by a flexure portion of the structure when the structure is in the deployed configuration. 
     The medical system may further include at least one actuator operably coupled to the structure to selectively pivot the proximal and the distal portions of the structure with respect to one another when the structure is in the deployed configuration. In some embodiments, the medical system further includes at least one flexible line arranged to physically couple the proximal and the distal portions of the structure together, the at least one flexible line manipulable to vary a distance between the proximal and the distal portions of the structure when the structure is in the deployed configuration. 
     The medical system may further include at least one actuator selectively operable to act on at least one of the proximal and the distal portions of the structure to distort a respective one of the first domed shape and the second domed shape when the structure is in the deployed configuration. Each of the first domed shape and the second domed shape may have a respective volume therein, and the medical system may further include at least one actuator selectively operable to act on the structure to vary the respective volume of at least one of the first domed shape and the second domed shape when the structure is in the deployed configuration. The medical system may further include at least one actuator selectively operable to act on at least one of the proximal and the distal portions of the structure to vary a difference between the respective volumes of the first and the second domed shapes when the structure is in the deployed configuration. 
     Each of the proximal and the distal portions of the structure may be arranged to pivot with respect to one another about a pivot location when the structure is in the deployed configuration. Each of the first domed shape and the second domed shape may include a respective apex and a respective height extending normally from a respective spatial plane to the respective apex, each respective spatial plane positioned to intersect the pivot location. The medical system may further include at least one actuator selectively operable to act on at least one of the proximal and the distal portions of the structure to vary at least one of a magnitude of the respective height of the first domed shape and a magnitude of the respective height of the second domed shape when the structure is in the deployed configuration. 
     The structure may further include a plurality of elongate members, each of the proximal and the distal portions of the structure comprising a respective portion of each elongate member of the plurality of elongate members. Each elongate member of at least some of the plurality of elongate members may cross at least one other elongate member of the plurality of elongate members at least at one location between the proximal and the distal portions of the structure when the structure is in the deployed configuration. Each elongate member of the plurality of elongate members may include a first end, a second end, and a respective length between the first end and the second end. Each elongate member of at least some of the plurality of elongate members may cross at least one other elongate member of the plurality of elongate members at each of a plurality of spaced apart locations along the respective length of at least the one other elongate member of the plurality of elongate members when the structure is in the deployed configuration. The plurality of spaced apart locations along the respective length of at least the one other elongate member of the plurality of elongate members may include at least one location between the respective portion of the one other elongate member of the plurality of elongate members comprised by the proximal portion of the structure and the respective portion of the one other elongate member of the plurality of elongate members comprised by the distal portion of the structure. At least some of the plurality of elongate members may be fanned with respect to one another about an axis that passes through a location between the proximal and the distal portions of the structure when the structure is in the deployed configuration. 
     Each elongate member of the plurality of elongate members may include a first end, a second end, an intermediate portion positioned between the first end and the second end, and a thickness, the respective intermediate portion of each elongate member including a front surface and a back surface opposite across the thickness from the front surface. The respective intermediate portions of the plurality of elongate members may be arranged front surface-toward-back surface in a stacked array when the structure is in the delivery configuration. The respective intermediate portion of each elongate member of at least some of the plurality of elongate members may include a slotted opening between the respective first and the second ends of the elongate member, at least two of the slotted openings arranged to cross one another when the structure is in the deployed configuration. The medical system may further include at least one actuator selectively operable to act on the structure to change a location where the at least two slotted openings cross one another when the structure is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a plurality of ends including a proximal end and a distal end. Each elongate member of the plurality of elongate members further includes a respective intermediate portion positioned between the proximal and the distal ends of the elongate member, and a respective length between the proximal and the distal ends of the elongate member. The structure further includes a plurality of couplers arranged to physically couple each elongate member of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members at each of at least two spaced apart locations along the respective length of the elongate member of the plurality of elongate members. A method employing the medical system may be summarized as including providing a catheter sheath that includes a first end, a second end and a lumen extending therebetween, and arranging the structure to have a size suitable for delivery though the lumen of the catheter sheath, each of the elongate members in the structure arranged to be advanced distal end first out from the lumen of the catheter sheath. The method includes expanding the structure to have a size too large for delivery through the lumen of the catheter sheath. The method includes providing at least one of a) relative movement between at least some of the ends in a first set of the proximal ends of the elongate members of the plurality of elongate members to reduce an end-to-end distance between the at least some of the ends in the first set during the expanding or b) relative movement between at least some of the ends in a second set of the distal ends of the elongate members of the plurality of elongate members to reduce an end-to-end distance between the at least some of the ends in the second set during the expanding. 
     The method may further include providing the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set while restraining relative movement between at least some of the ends in the other of the first set and the second set along at least one direction during the expanding. The method may further include providing the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set while restraining relative movement between the respective intermediate portions of at least some of the plurality of elongate members along at least one direction during the expanding. 
     The method may further include providing the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set while decreasing a distance between the respective distal end and the respective proximal end of each of at least some of the plurality of elongate members during the expanding. 
     The method may further include arranging the respective intermediate portions of at least some of the plurality of elongate members to cross one another at a crossing location, and varying a respective distance between the crossing location and each of the at least some of the ends in the first set or each of the at least some of the ends in the second set. The method may further include arranging the respective intermediate portions of at least some of the plurality of elongate members to cross one another at a crossing location, and providing the relative movement between the at least some of the ends in the first set while varying a respective distance between the crossing location and each of the at least some of the ends in the first set or providing the relative movement between the at least some of the ends in the second set while varying a respective distance between the crossing location and each of the at least some of the ends in the second set. The method may further include arranging the respective intermediate portions of at least some of the plurality of elongate members to cross one another at a crossing location; varying a respective distance between the crossing location and at least a first one of the ends of the respective at least some of the ends in one of the first set and the second set by a first amount; and varying a respective distance between the crossing location and at least a second one of the ends of the respective at least some of the ends in the one of the first set and the second set by a second amount different from the first amount. 
     The method may further include arranging at least the respective intermediate portions of at least some of the plurality of elongate members to be angularly spaced with respect to one another about a first axis. The respective intermediate portion of each elongate member of the plurality of elongate members may include a thickness, a front surface and a back surface opposite across the thickness from the front surface, and arranging the structure to have the size suitable for delivery through the lumen of the catheter sheath may include arranging the respective intermediate portions of the elongate members with respect to one another front surface-toward-back surface in a stacked array. 
     Various methods may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a proximal end, a distal end, a respective intermediate portion positioned between the proximal and the distal ends, and a respective length between the proximal and the distal ends. The structure is selectively moveable between a delivery configuration in which the structure is sized to be delivered through a bodily opening leading to a bodily cavity, and a deployed configuration in which the structure is expanded to have a size too large to be delivered through the bodily opening leading to the bodily cavity. The respective intermediate portions of at least some of the plurality of elongate members are angularly spaced with respect to one another about a first axis and each of the at least some of the plurality of elongate members further includes a curved portion arranged to extend along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis when the structure is in the deployed configuration. A portion of the structure is radially spaced from the first axis by a first dimension when the structure is in the deployed configuration. The medical system further includes at least one actuator operably coupled to the structure to selectively reduce a curvature of the respective curved portion of at least one of the at least some of the plurality of elongate members to increase the first dimension when the structure is in the deployed configuration. 
     The structure may include a second dimension along the first axis when the structure is in the deployed configuration, and the at least one actuator may be operably coupled to the structure to selectively reduce the curvature of the respective curved portion of the at least one of the at least some of the plurality of elongate members to increase the second dimension when the structure is in the deployed configuration. The at least one actuator may be operably coupled to the structure to selectively reduce the curvature of the respective curved portion of the at least one of the at least some of the plurality of elongate members to concurrently increase each of the first and the second dimensions. The second dimension may be an overall dimension of the structure along the first axis when the structure is in the deployed configuration. The first axis may pass through the at least one of the at least some of the plurality of elongate members at each of a first location and a second location spaced along the respective length of the at least one of the at least some of the plurality of elongate members from the first location when the structure is in the deployed configuration. The second dimension may be a dimension between the first location and the second location along the first axis. 
     The portion of the structure may include the respective curved portion of the at least one of the at least some of the plurality of elongate members when the structure is in the deployed configuration. The first axis may pass through the at least one of the at least some of the plurality of elongate members at a first location spaced along the respective length of the at least one of the at least some of the plurality of elongate members from one of the respective proximal end and the respective distal end of the at least one of the at least some of the plurality of elongate members, and the at least one actuator may be operably coupled to the structure to selectively reduce the curvature of the respective curved portion of the at least one of the at least some of the plurality of elongate members to reduce a distance between the first location and the one of the respective proximal end and the respective distal end of the at least one of the at least some of the plurality of elongate members when the structure is in the deployed configuration. 
     The respective intermediate portion of each elongate member of the plurality of elongate members may include a front surface and a back surface opposite across a thickness of the elongate member. At least the respective intermediate portions of the elongate members of the plurality of elongate members may be arranged with respect to one another front surface-toward-back surface in a stacked array when the structure is in the delivery configuration. 
     The first axis may pass through at least a first elongate member of the plurality of elongate members at two or more locations when the structure is in the deployed configuration. Each location of the two or more locations may be spaced from another location of the two or more locations along the respective length of at least the first elongate member of the plurality of elongate members. The two or more locations may include at least three locations spaced with respect to one another along the respective length of the first elongate member of the plurality of elongate members. 
     At least a first elongate member of the plurality of elongate members may cross a second elongate member of the plurality of elongate members in an X configuration at one or more locations along the respective length of the second elongate member spaced from each of the respective proximal end and the respective distal end of the second elongate member when the structure is in the deployed configuration. The structure may further include a plurality of couplers, each coupler of the plurality of couplers arranged to physically couple at least the second elongate member of the plurality of elongate members together with at least one other elongate member of the plurality of elongate members, each coupler of the plurality of couplers spaced from another of the plurality of couplers along the respective length of the second elongate member of the plurality of elongate members. At least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members between the respective locations of at least two of the plurality of couplers when the structure is in the deployed configuration. Each elongate member of the plurality of elongate members may be arranged to be advanced distal end first into the bodily cavity when the structure is in the delivery configuration, and at least one location of the one or more locations may be located along the respective length of the second elongate member of the plurality of elongate members relatively closer to the respective distal end of the second elongate member than a respective location of each of at least two of the plurality of couplers when the structure is in the deployed configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of elongate members. Each elongate member of the plurality of elongate members includes a first end, a second end, a respective length between the first end and the second end, a thickness, a respective front surface and a respective back surface opposite across the thickness. The plurality of elongate members include at least one elongate member that has a unitary or single piece structure having a plurality of portions arranged between the respective first end and the respective second end of the at least one elongate member. The plurality of portions include at least a first portion, a second portion and a third portion positioned between the first portion and the second portion. Each of the plurality of portions further includes a respective pair of side edges that form a portion of a periphery of at least one of the respective front surface and the respective back surface of the at least one elongate member. The third portion of the at least one elongate member includes a twist about a twist axis extending across at least part of the third portion of the at least one elongate member. The twist in the third portion of the at least one elongate member angularly offsets the second portion of the at least one elongate member from the first portion of the at least one elongate member about the twist axis. In the absence of the twist in the third portion of the at least one elongate member, the plurality of portions of the at least one elongate member are arranged such that the second portion of the at least one elongate member is laterally offset from the first portion of the at least one elongate member across at least a portion of the respective length of the at least one elongate member. At least part of the device is selectively moveable between a delivery configuration in which the elongate members of the plurality of elongate members are arranged in a first arrangement sized for intravascular or percutaneous delivery to a bodily cavity, and a deployed configuration in which the elongate members of the plurality of elongate members are arranged in a second arrangement sized too large for intravascular or percutaneous delivery to the bodily cavity. 
     The first portion of the at least one elongate member may be bent about a first axis having a directional component extending transversely across at least one of the respective pair of side edges of the first portion of the at least one elongate member when the at least part of the device is in the deployed configuration. The second portion of the at least one elongate member may be bent about a second axis having a directional component extending transversely across at least one of the respective pair of side edges of the second portion of the at least one elongate member when the at least part of the device is in the deployed configuration. 
     The twist in the third portion of the at least one elongate member may bias the at least one elongate member to autonomously fan with respect to at least one other elongate member of the plurality of elongate members when the plurality of elongate members are advanced into the bodily cavity. The first portion of the at least one elongate member may be preformed to autonomously bend about a first axis to urge the at least one elongate member to fan with respect to at least one other elongate member of the plurality of elongate members when the plurality of elongate members are advanced into the bodily cavity. The second portion of the at least one elongate member may be preformed to autonomously bend about a second axis when the plurality of elongate members are advanced into the bodily cavity. The first axis and the second axis may be non-parallel axes. 
     In use a first portion of the respective front surface of the at least one elongate member may face towards a first portion of an interior tissue surface within the bodily cavity and a second portion of the respective front surface of the at least one elongate member may face towards a second portion of the interior tissue surface within the bodily cavity when the at least part of the device is moved into the deployed configuration within the bodily cavity, the second portion of the interior tissue surface positioned diametrically opposite to the first portion of the interior tissue surface within the bodily cavity. 
     At least the second portion of the at least one elongate member may include a volute shape profile when the at least part of the device is in the deployed configuration. The at least one elongate member may include at least a first elongate member and a second elongate member. The respective second portion of the first elongate member may be laterally offset from the respective first portion of the first elongate member by a first distance across at least the portion of the respective length of the first elongate member in the absence of the twist in the respective third portion of the first elongate member, and the respective second portion of the second elongate member may be laterally offset from the respective first portion of the second elongate member by a second distance across at least the portion of the respective length of the second elongate member in the absence of the twist in the respective third portion of the second elongate member. The second distance may be different from the first distance. 
     The at least one elongate member may include multiple elongate members of the plurality of elongate members. The respective first portions of the elongate members of the multiple elongate members may be arranged front surface-toward-back surface along a first direction in a first stacked array when the at least part of the device is in the delivery configuration. The respective second portions of the elongate members of the multiple elongate members may be arranged front surface-toward-back surface along a second direction in a second stacked array when the at least part of the device is in the delivery configuration. The first direction and the second direction may be non-parallel directions. 
     The respective pair of side edges of each portion of the plurality of portions of the at least one elongate member may include a respective first side edge portion arranged on a first side of the at least one elongate member and a respective second side edge portion arranged on a second side of the at least one elongate member, the second side opposite to the first side. At least one of the first side edge portion and the second side edge portion of the second portion of the at least one elongate member may be laterally offset from the corresponding one of the first side edge portion and the second side edge portion of the first portion of the at least one elongate member across at least the portion of the respective length of the at least one elongate member in the absence of the twist in the third portion of the at least one elongate member. The respective first side edge of one of the first portion and the second portion of the at least one elongate member may converge with the respective first side edge of the third portion of the at least one elongate member to enclose an obtuse angle therebetween in the absence of the twist in the third portion of the at least one elongate member. The obtuse angle may extend across the at least one of the respective front surface and the respective back surface of the at least one elongate member towards the respective second side edge of at least one portion of the plurality of portions of the at least one elongate member. 
     The at least one elongate member may include a flexible circuit structure that includes at least one base layer and at least one electrically conductive layer patterned to provide at least one electrically conductive trace supported directly or indirectly by the at least one base layer, the at least one electrically conductive trace extending along a path across each of at least the first, the third and the second portions of the at least one elongate member. The at least one electrically conductive trace may include at least one jogged portion as viewed perpendicularly to a portion of the surface of the at least one base layer located at least proximate to a location on the surface of the at least one base layer where the path extends across the third portion of the at least one elongate member. 
     Various systems may include combinations and subsets of those summarized above. 
     A method for forming a portion of a medical system may be summarized as including providing a plurality of elongate members, each elongate member of the plurality of elongate members including a first end, a second end, a respective length between the first end and the second end, a thickness, a respective front surface and a respective back surface opposite across the thickness. Each elongate member of the plurality of elongate members further includes a plurality of portions arranged between the respective first end and the respective second end of the elongate member. The plurality of portions includes at least a first portion, a second portion and a third portion positioned between the first portion and the second portion. Each of the plurality of portions further includes a respective pair of side edges that form a portion of a periphery of at least one of the respective front surface and the respective back surface of the elongate member. The respective second portion of each elongate member of at least some of the plurality of elongate members is laterally offset from the respective first portion of the elongate member of the at least some of the plurality of elongate members across at least a portion of the respective length of the elongate member of the at least some of the plurality of elongate members. The method includes for each elongate member in the provided plurality of elongate members, distorting the respective third portion of the elongate member to rotationally offset the respective second portion of the elongate member from the respective first portion of the elongate member along the respective length of the elongate member. The method includes arranging each elongate member in the provided plurality of elongate members into an arrangement, the arrangement configurable to a size suitable for intravascular or percutaneous delivery through an opening in a tissue wall leading to a bodily cavity. 
     Distorting the respective third portion of the elongate member to rotationally offset the respective second portion of the elongate member from the respective first portion of the elongate member along the respective length of the elongate member may cause the respective third portion of the elongate member to have a twisted shape. Distorting the respective third portion of the elongate member to rotationally offset the respective second portion of the elongate member from the respective first portion of the elongate member along the respective length of the elongate member may include forming at least one twist in the respective third portion of the elongate member about a respective twist axis extending across at least part of the respective third portion of the elongate member. 
     The at least some of the plurality of elongate members that are provided may include at least a first elongate member and a second elongate member, and the method may further include forming at least one twist in the respective third portion of each of the provided first elongate member and the provided second elongate member about the respective twist axis of each of the provided first elongate member and the provided second elongate member to rotationally offset the respective second portion of the provided first elongate member from the respective first portion of the provided first elongate member along the respective length of the provided first elongate member by a first angular amount and to rotationally offset the respective second portion of the provided second elongate member from the respective first portion of the provided second elongate member along the respective length of the provided second elongate member by a second angular amount. The second angular amount may be different from the first angular amount. 
     The at least some of the plurality of elongate members that are provided may include at least a first elongate member and a second elongate member, the respective second portion of the provided first elongate member laterally offset from the respective first portion of the provided first elongate member by a first distance across at least the portion of the respective length of the provided first elongate member, and the respective second portion of the provided second elongate member laterally offset from the respective first portion of the provided second elongate member by a second distance across at least the portion of the respective length of the provided second elongate member. The second distance may be different from the first distance. 
     The method may further include selecting a set of the elongate members from the provided plurality of elongate members and forming at least one twist in the respective third portion of each elongate member in the set of the elongate members to at least in part cause at least the respective second portions of the elongate members in the set of the elongate members to be fanned with respect to one another when at least the respective first portions of each elongate member in the provided plurality of elongate members are arranged into the arrangement. The method may further include selecting a set of the elongate members from the provided plurality of elongate members and bending the respective first portion of each elongate member in the set of the elongate members about a respective bending axis to at least in part cause at least the respective second portions of the elongate members in the set of the elongate members to be fanned with respect to one another when at least the respective first portions of each elongate member in the provided plurality of elongate members are arranged into the arrangement. Each respective bending axis may be skewed with respect to at least one of the pair of side edges of the respective first portion of the associated elongate member in the set of the elongate members. 
     The method may further include selecting a set of the elongate members from the provided plurality of elongate members and bending the respective second portion of each elongate member in the set of the elongate members about a respective bending axis such that a first portion of the respective back surface of each elongate member of the set of the elongate members is positioned diametrically opposite to a second portion of the respective back surface of the elongate member in the set of the elongate members. 
     Arranging each elongate member in the provided plurality of elongate members in the arrangement may include arranging the respective first portions of each elongate member in the provided plurality of elongate members front surface-toward-back surface in a stacked array. The method may further include physically coupling the respective first portions of at least two of the elongate members in the provided plurality of elongate members together and physically coupling the respective second portions of the at least two of the elongate members in the provided plurality of elongate members together. The method may include providing a plurality of flexible circuit structures, each flexible circuit structure of the plurality of flexible circuit structures including at least one base layer and at least one patterned electrically conductive layer. The method may further include interleaving a portion of each flexible circuit structure of the provided plurality of flexible circuit structures with the respective first portions of each elongate member in the provided plurality of elongate members in the array. The respective at least one patterned electrically conductive layer of at least one of the provided plurality of flexible circuits may include at least one electrically conductive trace having at least one jogged portion formed by a patterning process. The method may further include securing each of the at least one of the provided plurality of flexible circuits to a respective one of the provided plurality of elongate members such that the at least one electrically conductive trace extends along a path across each of the first, the third and the second portions of the respective one of the provided plurality of elongate members with the at least one jogged portion of the at least one electrically conductive trace positioned at least proximate to the third portion of the respective one of the provided plurality of elongate members. 
     The respective pair of side edges of each portion of the plurality of portions of at least one elongate member of the plurality of elongate members may include a respective first side edge arranged on a first side of the at least one elongate member of the plurality of elongate members and a respective second side edge arranged on a second side of the at least one elongate member of the plurality of elongate members, the second side opposite to the first side. Providing the plurality of elongate members may include providing the plurality of elongate members such that at least one of the first side edge and the second side edge of the second portion of the at least one elongate member of the plurality of elongate members is laterally offset from the corresponding one of the first side edge and the second side edge of the first portion of the at least one elongate member of the plurality of elongate members. Providing the plurality of elongate members may include providing the plurality of elongate members such that the at least one elongate member of the plurality of elongate members includes at least one corner formed by a convergence of the respective first side edge of one of the first portion and the second portion of the at least one elongate member of the plurality of elongate members with the respective first side edge of the third portion of the at least one elongate member of the plurality of elongate members. The at least one corner may enclose an angle extending across the at least one of the respective front surface and the respective back surface of the at least one elongate member of the plurality of elongate members towards the respective second edge of at least one portion of the plurality of portions of the at least one elongate member of the plurality of elongate members. 
     Various methods may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a device that includes a plurality of transducer element sets and a plurality of flexible circuit structures. Each transducer element set includes one or more transducer elements. Each flexible circuit structure includes a respective at least one base layer, each at least one base layer including a first end, a second end, a respective length between the first end and the second end, a thickness, a respective front surface and a respective back surface opposite across the thickness, and a respective plurality of portions arranged between the first end and the second end. Each portion of the plurality of portions further includes a respective pair of side edges that form a portion of a periphery of at least one of the respective front surface and the respective back surface of the at least one base layer. Each respective plurality of portions further includes at least a first portion, a second portion and a third portion positioned between the first portion and the second portion. The respective third portion of each at least one base layer further includes a twist arranged to rotationally offset the second portion of the at least one base layer from the first portion of the at least one base layer along the respective length of the at least one base layer. Each flexible circuit structure further includes a respective at least one patterned electrically conductive layer. Each at least one patterned electrically conductive layer is arranged to provide at least one electrically conductive trace supported at least indirectly by the respective at least one base layer of the flexible circuit structure. Each at least one electrically conductive trace is electrically connected to a respective one of the plurality of transducer element sets, and each at least one electrically conductive trace extends along a path across each of the first, the third and the second portions of the respective at least one base layer of the flexible circuit structure. For each of at least some of the plurality of flexible circuit structures, the respective at least one electrically conductive trace includes at least one jogged portion as viewed normally to a portion of the front surface of the respective at least one base layer located at least proximate to a location on the front surface of the respective at least one base layer where the path extends across the respective third portion of the respective at least one base layer. At least part of the device is selectively moveable between an unexpanded configuration in which the flexible circuit structures of the plurality of flexible circuit structures are arranged in a first arrangement sized for delivery through a bodily opening leading to a bodily cavity, and an expanded configuration in which the flexible circuit structures of the plurality of flexible circuit structures are arranged in a second arrangement sized too large for delivery through the bodily opening leading to the bodily cavity. 
     The flexible circuit structures in the plurality of flexible circuit structures may be arranged such that the respective first portions of each at least one base layer are arranged front surface-toward-back surface in a first stacked array and the respective second portions of each at least one base layer are arranged front surface-toward-back surface in a second stacked array when the at least part of the device is in the unexpanded configuration. The flexible circuit structures in the plurality of flexible circuit structures may be arranged such that at least the respective second portions of each at least one base layer are arranged in a fanned array when the at least part of the device is in the expanded configuration. The twist in the respective third portion of the at least one base layer of each flexible circuit structure of the at least some of the plurality of flexible circuits may bias the respective second portion of the at least one base layer of the flexible circuit structure of the at least some of the plurality of flexible circuit structures into the fanned array as the plurality of flexible circuit structures are advanced into the bodily cavity. 
     The respective first portion of the at least one base layer of each flexible circuit structure of the at least some of the plurality of flexible circuit structures may be preformed to bend about a respective bending axis to bias the respective second portion of the at least one base layer of the flexible circuit structure of the at least some of the plurality of flexible circuit structures into the fanned array as the plurality of flexible circuit structures are advanced into the bodily cavity. 
     The respective second end of the at least one base layer of each of the at least some of the plurality of flexible circuit structures may move along a curved path that bends back on itself when the at least part of the device is selectively moved from the unexpanded configuration to the expanded configuration. At least part of the curved path may be a volute path. The respective second portion of the at least one base layer of each flexible circuit structure of the at least some of the plurality of flexible circuit structures may include a volute shape profile when the at least part of the device is in the expanded configuration. A first portion of the respective front surface of the at least one base layer of at least one of the plurality of flexible circuit structures may face towards a first portion of an interior tissue surface within the bodily cavity and a second portion of the respective front surface of the at least one base layer of the at least one of the plurality of flexible circuit structures may face towards a second portion of the interior tissue surface within the bodily cavity when the at least part of the device is moved into the expanded configuration within the bodily cavity, the second portion of the interior tissue surface positioned diametrically opposite to the first portion of the interior tissue surface within the bodily cavity. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure including a plurality of elongate members, each elongate member of the plurality of elongate members including a proximal end, a distal end and a respective intermediate portion positioned between the proximal and the distal ends, the structure selectively moveable between an unexpanded configuration in which the structure is suitably sized to be percutaneously delivered to a bodily cavity and an expanded configuration in which the structure has a size too large to be percutaneously delivered to the bodily cavity, each of the respective intermediate portions of the plurality of elongate members radially arranged with respect to one another about a first axis when the structure is in the expanded configuration, and each of the respective intermediate portions of the plurality of elongate members radially spaced from the first axis when the structure is in the expanded configuration; a flexible shaft member, a portion of the flexible shaft member sized to be percutaneously delivered to the bodily cavity, the flexible shaft member including a first end portion and a second end portion spaced from the first end portion across an elongated portion of the flexible shaft member, the structure physically coupled to the flexible shaft member at least proximate the second end portion of the flexible shaft member; and at least one actuator selectively operable to concurrently rotate the intermediate portions of all of the plurality of elongate members at least partially about at least the first axis when the structure is in the expanded configuration, the intermediate portions of all of the plurality of elongate members moved relative to at least the second end portion of the flexible shaft member by the at least one actuator when the structure is in the expanded configuration. 
     One of the respective proximal and distal ends of each of the elongate members may be fixedly coupled to the flexible shaft member. The respective proximal end, the respective distal end, or each of the respective proximal and distal ends of each of the elongate members may be fixedly coupled to the flexible shaft member. The structure may be rotationally coupled to the second end portion of the flexible shaft member. The second end portion of the flexible shaft member may include a surface, a portion of the surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis, and wherein the intermediate portions of all of the plurality of elongate members may be concurrently rotated at least partially about the second axis by the at least one actuator when the structure is in the expanded configuration. The second end portion of the flexible shaft member may include a surface, a portion of the surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis, and wherein the intermediate portions of all of the plurality of elongate members are not rotated, even partially, about the second axis by the at least one actuator when the structure is in the expanded configuration. The second end portion of the flexible shaft member may include a surface, a portion of the surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis, the second axis parallel to the first axis when the structure is in the expanded configuration. The second end portion of the flexible shaft member may include a surface, a portion of the surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis, the second axis not parallel to the first axis when the structure is in the expanded configuration. The medical system may further include a biasing device that opposes rotation of the intermediate portions of all of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration. The biasing device may be provided at least in part by a respective resilient portion of each of at least some of the elongate members. Each of at least some of the plurality of elongate members may include a respective length between the respective proximal and distal ends, and a plurality of portions arranged between the respective proximal and distal ends, each respective plurality of portions further including at least a first elongate member portion, a second elongate member portion and a twisted elongate member portion positioned between the first elongate member portion and the second elongate member portion, the respective twisted elongate member portion of each elongate member of the at least some of the plurality of elongate members arranged to rotationally offset the second elongate member portion from the first elongate member portion along the respective length of the elongate member of the at least some of the plurality of elongate members. Each first elongate member portion may be adjacent the corresponding twisted elongate member portion, and the medical system may further include a biasing device that opposes rotation of the intermediate portions of all of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration, wherein the biasing device is provided at least in part by the respective first elongate member portion of each elongate member of the at least some of the plurality of elongate members. The medical system may further include a biasing device that opposes rotation of the intermediate portions of all of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration, wherein the biasing device is provided at least in part by the respective twisted elongate member portion of each elongate member of the at least some of the plurality of elongate members. The expanded configuration may be a first expanded configuration in which the respective intermediate portion of each of at least some of the plurality of elongate members is radially spaced from the first axis by a respective first radial distance, the structure further selectively moveable between the first expanded configuration and a second expanded configuration in which the respective intermediate portion of each of the at least some of the plurality of elongate members is radially spaced from the first axis by a respective second radial distance, each second radial distance having a greater magnitude than a magnitude of the corresponding first radial distance. The intermediate portions of the plurality of elongate members may be circumferentially arranged about the first axis when the structure is in the expanded configuration. Each location on the structure to which the flexible shaft member is physically coupled to may be positioned to a same side of at least one plane when the structure is in the expanded configuration, and each plane of the at least one plane may be coincident with the first axis. The medical system may further include a plurality of transducer elements, at least some of the plurality of transducer elements located on each of at least some of the plurality of elongate members. Each of the plurality of transducer elements may include an electrode, wherein energy is selectively transmittable from each electrode, the energy sufficient for tissue ablation. At least a portion of the flexible shaft member may be directly manipulable by a user to percutaneously deliver the structure to the bodily cavity when the structure is in the unexpanded configuration. The at least a portion of the flexible shaft member may include at least part of the elongated portion of the flexible shaft member. At least part of the flexible shaft member may be moved through a lumen of a catheter sheath when the structure is percutaneously delivered to the bodily cavity, a surface of the flexible shaft member arranged to contact a surface of the lumen during at least part of the percutaneous delivery of the structure. The respective intermediate portion of each elongate member of the plurality of elongate members may include a thickness, a front surface, and a back surface opposite across the thickness from the front surface, and wherein the respective intermediate portions of the plurality of elongate members may be arranged front surface-toward-back surface in a stacked array when the structure is in the unexpanded configuration. The structure may further include a proximal portion and a distal portion, each of the proximal and the distal portions including a respective part of each of the plurality of elongate members, the proximal portion of the structure forming a first domed shape and the distal portion of the structure forming a second domed shape when the structure is in the deployed configuration. The structure may include a proximal portion and a distal portion, the structure arranged to be advanced distal portion first into the bodily cavity in the unexpanded configuration, the proximal portion of the structure forming a first domed shape and the distal portion of the structure forming a second domed shape when the structure is in the expanded configuration, and the proximal and the distal portions of the structure arranged in a clam shell configuration when the structure is in the expanded configuration. The plurality of elongate members may include a first set of the elongate members and a second set of the elongate members, the second set of the elongate members different than the first set of the elongate members, and wherein when the structure is moved between the unexpanded configuration and the expanded configuration, the respective intermediate portion of each elongate member in the first set of the elongate members is rotated in a first rotational direction and the respective intermediate portion of each elongate member in the second set of the elongate members is rotated in a second rotational direction, the second rotational direction opposite to the first rotational direction. The at least one actuator may be selectively operable to rotate the intermediate portions of all of the plurality of elongate members about at least the first axis in at least one of the first or the second rotational directions when the structure is in the expanded configuration. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure including a plurality of elongate members including a first set of the elongate members and a second set of the elongate members, the second set of the elongate members different than the first set of the elongate members, each elongate member of the plurality of elongate members including a proximal end, a distal end and a respective intermediate portion positioned between the proximal and the distal ends, the structure selectively moveable between: an unexpanded configuration in which the structure is sized to be percutaneously delivered to a bodily cavity, and an expanded configuration in which the structure has a size too large to be percutaneously delivered to the bodily cavity, each of the respective intermediate portions of the plurality of elongate members radially arranged with respect to one another about a first axis and each of the respective intermediate portions of the plurality of elongate members radially spaced from the first axis when the structure is in the expanded configuration, at least one elongate member of the plurality of elongate members further including a respective curved portion arranged to extend along at least a portion of a respective curved path that intersects the first axis at each of a respective at least two spaced apart locations along the first axis when the structure is in the expanded configuration, wherein: when the structure is moved between the unexpanded configuration and the expanded configuration, the respective intermediate portion of each elongate member in the first set of the elongate members is rotated in a first rotational direction and the respective intermediate portion of each elongate member in the second set of the elongate members is rotated in a second rotational direction, the second rotational direction opposite to the first rotational direction. 
     The structure may be moved between the unexpanded configuration and the expanded configuration, the respective intermediate portion of each elongate member in the first set of the elongate members may be rotated at least partially about the first axis in the first rotational direction and the respective intermediate portion of each elongate member in the second set of the elongate members may be rotated at least partially about the first axis in the second rotational direction. The medical system may further include at least one actuator selectively operable to rotate the intermediate portion of each of at least some of the plurality of elongate members about at least the first axis in at least one of the first rotational direction or the second rotational direction when the structure is in the expanded configuration, the at least some of the plurality of elongate members including each elongate member in the first set of the elongate members and each elongate member in the second set of the elongate members. The medical system may further include at least one actuator selectively operable to rotate the intermediate portion of each of at least some of the plurality of elongate members about at least the first axis between two modes when the structure is in the expanded configuration, the two modes including a first mode in which the intermediate portion of each elongate member of the at least some of the plurality of elongate members is rotated about at least the first axis in the first rotational direction, and a second mode in which the intermediate portion of each of at least some of the plurality of elongate members is rotated about at least the first axis in the second rotational direction, the at least some of the plurality of elongate members including each elongate member in the first set of the elongate members and each elongate member in the second set of the elongate members. The medical system may further include a flexible shaft member, a portion of the flexible shaft member sized to be percutaneously delivered to the bodily cavity, the flexible shaft member including a first end portion and a second end portion spaced from the first end portion across an elongated portion of the flexible shaft member, the structure physically coupled to the flexible shaft member at least proximate the second end portion of the flexible shaft member, the second end portion of the flexible shaft member including a surface, a portion of the surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis, wherein when the structure is moved between the unexpanded configuration and the expanded configuration, the respective intermediate portion of each elongate member in the first set of the elongate members is moved away from the second axis in a first direction and the respective intermediate portion of each elongate member in the second set of the elongate members is moved away from the second axis in a second direction, the second direction opposite to the first direction. The second axis may not be parallel to the first axis when the structure is in the expanded configuration. The first direction may include a first rotational direction component and the second direction may include a second rotational direction component opposite to the first rotational direction component, and the medical system may further include at least one actuator selectively operable to rotate the intermediate portion of each of at least some of the plurality of elongate members about at least the first axis in at least one of the first rotational direction component or the second rotational direction component when the structure is in the expanded configuration, the at least some of the plurality of elongate members including each elongate member in the first set of the elongate members and each elongate member in the second set of the elongate members. The first direction may include a first rotational direction component and the second direction may include a second rotational direction component opposite to the first rotational direction component, and the at least one actuator may be selectively operable to rotate the intermediate portion of each of at least some of the plurality of elongate members about at least the first axis between two modes when the structure is in the expanded configuration, the two modes including a first mode in which the intermediate portion of each of the at least some of the plurality of elongate members is rotated about at least the first axis in the first rotational direction component, and a second mode in which the intermediate portion of each of the at least some of the plurality of elongate members is rotated about at least the first axis in the second rotational direction component, the at least some of the plurality of elongate members including each elongate member in the first set of the elongate members and each elongate member in the second set of the elongate members. The intermediate portions of the plurality of elongate members may be circumferentially arranged about the first axis when the structure is in the expanded configuration. The at least one elongate member of the plurality of elongate members may include all of the plurality of elongate members, the respective curved portions of the plurality of elongate members circumferentially arranged about the first axis when the structure is in the expanded configuration. The at least one elongate member of the plurality of elongate members may include at least two of the plurality of elongate members, at least some of the respective curved portions of the at least two of the plurality of elongate members arranged on each side of a plane when the structure is in the expanded configuration, the plane coincident with the first axis. 
     Various systems may include combinations and subsets of those summarized above. 
     A medical system may be summarized as including a structure including a plurality of elongate members, each elongate member of the plurality of elongate members including a proximal end, a distal end and a respective intermediate portion positioned between the proximal and the distal ends, the structure selectively moveable between an unexpanded configuration in which the structure is suitably sized to be percutaneously delivered to a bodily cavity and an expanded configuration in which the structure has a size too large to be percutaneously delivered to the bodily cavity, each of the respective intermediate portions of the plurality of elongate members radially arranged with respect to one another about a first axis when the structure is in the expanded configuration, and each of the respective intermediate portions of the plurality of elongate members radially spaced from the first axis when the structure is in the expanded configuration; a flexible shaft member, a portion of the flexible shaft member sized to be percutaneously delivered to the bodily cavity, the flexible shaft member including a first end portion and a second end portion spaced from the first end portion across an elongated portion of the flexible shaft member, the structure physically coupled to the flexible shaft member at least proximate the second end portion of the flexible shaft, the second end portion of the flexible shaft member including a surface positioned at an end of the flexible shaft member, the portion of the surface circumferentially arranged about a second axis; and at least one actuator selectively operable to rotate the intermediate portion of each of at least some of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration, the intermediate portion of each of the at least some of the plurality of elongate members rotating about each of the first axis and the second axis by different respective angular amounts when the at least one actuator rotates the intermediate portion of each of the at least some of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration. 
     The intermediate portion of each of the at least some of the plurality of elongate members may be rotated about the first axis by a respective first angular amount and may be rotated about the second axis by a respective second angular amount when the at least one actuator rotates the intermediate portion of each of the at least some of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration, each first angular amount being greater than the corresponding second angular amount. The intermediate portion of each of the at least some of the plurality of elongate members may not be rotated about the second axis when the at least one actuator rotates the intermediate portion of each of the at least some of the plurality of elongate members about at least the first axis when the structure is in the expanded configuration. The second axis may not be parallel to the first axis when the structure is in the expanded configuration. The second axis may not be collinear with the first axis when the structure is in the expanded configuration. The at least some of the plurality of elongate members may include all of the plurality of elongate members. 
     Various systems and methods may include combinations and subsets of all those summarized above. 
     In any of the above systems, at least some of the elongate members may each include respective ones of one or more transducers. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       In the drawings, identical reference numbers identify similar elements or acts. The sizes and relative positions of elements in the drawings are not necessarily drawn to scale. For example, the shapes of various elements and angles are not drawn to scale, and some of these elements are arbitrarily enlarged and positioned to improve drawing legibility. Further, the particular shapes of the elements as drawn are not intended to convey any information regarding the actual shape of the particular elements, and have been solely selected for ease of recognition in the drawings. 
         FIG. 1  is a cutaway diagram of a heart showing a medical device according to one illustrated embodiment percutaneously placed in a left atrium of the heart. 
         FIG. 2  is a partially schematic diagram of a medical system according to one illustrated embodiment, including a control unit, a display and a medical device having an expandable frame and an assembly of elements. 
         FIG. 3A  is an isometric view of a frame in a first or unexpanded configuration according to one illustrated embodiment. 
         FIG. 3B  is an isometric view of an example of the frame of  FIG. 3A  in a second or bent configuration. 
         FIG. 3C  is an isometric view of an example of the frame of  FIG. 3A  in a third or expanded configuration. 
         FIG. 3D  is an exploded isometric view of an elongate member including a flexible circuit structure employed in the frame of  FIG. 3A . 
         FIG. 3E  is a cross-sectional view of the frame of  FIG. 3A  in a catheter sheath. 
         FIGS. 4A, 4B, 4C, 4D and 4E  are sequential elevation views of a portion of a device positioned within a bodily cavity at five successive intervals of time according to an illustrated embodiment, including a control unit illustrated in  FIGS. 4B-4E . 
         FIG. 4F  is a partially exploded isometric view of an elongate member of  FIGS. 4A, 4B, 4C, 4D and 4E  including a flexible circuit structure. 
         FIG. 4G  is a cross-section view of a first set and a second set of various ones of the elongate members of  FIGS. 4A, 4B, 4C, 4D and 4E  arranged in a second or bent configuration. 
         FIG. 4H  is a cross-section view of the first set and the second set of the elongate members of  FIG. 4G  arranged in a third or expanded configuration. 
         FIG. 5A  is an isometric view of a portion of a device that includes an arrangement of elongate members in a first/unexpanded configuration received via a catheter sheath, according to one example embodiment. 
         FIG. 5B  is an isometric view of an elongate member of the device of  FIG. 5A . 
         FIG. 5C  is an isometric view of the portion of the device of  FIG. 5A  extending from the catheter sheath positioned in a second/bent configuration. 
         FIGS. 5D and 5E  are isometric views of the portion of the device of  FIG. 5A  extending from the catheter sheath in a third/expanded or fanned configuration. 
         FIGS. 5F and 5G  are respective top plan views of the isometric views of a portion of the device extending from the catheter sheath shown in the configurations of  FIGS. 5D and 5E , respectively. 
         FIG. 5H  is a schematic representation of an elongate member of the device of  FIG. 5A  crossed by various portions of another elongate member in the third/expanded or fanned configuration. 
         FIG. 6A  is a side elevation view a portion of a device that includes a number of elongate members extending from a catheter sheath and in an initial configuration according to another example embodiment. 
         FIG. 6B  is an isometric view of a representative one of the elongate members of the device of  FIG. 6A , and a projection of that elongate member. 
         FIGS. 6C, 6D, 6E, and 6F  are various side elevation views of a portion of the device in  FIG. 6A  positioned within a bodily cavity at four successive intervals of time according to an example embodiment. 
         FIGS. 6G and 6H  are various perspective views of the elongate members of the device of  FIG. 6A  extending from the catheter sheath, the elongate members arranged in a first expanded or fanned array. 
         FIG. 6I  is a sectioned side elevation view of the elongate members of the device of  FIG. 6A  extending from the catheter sheath, the elongate members arranged in a first expanded or fanned array. 
         FIG. 6J  is a partially sectioned end elevation view of the elongate members of the device of  FIG. 6A  extending from the catheter sheath, the elongate members arranged in a first expanded or fanned array. 
         FIGS. 6K and 6L  are various isometric views of the elongate members of the device of  FIG. 6A  extending from the catheter sheath, the elongate members arranged in a second expanded or fanned array. 
         FIG. 6M  is a sectioned side elevation view of the elongate members of the device of  FIG. 6A  extending from the catheter sheath, the elongate members arranged in a second expanded or fanned array. 
         FIG. 6N  is a schematic representation of an elongate member of the device of  FIG. 6A  crossed by various portions of another elongate member in a first expanded or fanned array. 
         FIG. 6O  is a schematic representation of an elongate member of the device of  FIG. 6A  crossed by various portions of another elongate member in a second expanded or fanned array. 
         FIG. 7A  is an isometric view of a portion of a device that includes a number of elongate members extending from a catheter sheath in an initial configuration according to another example embodiment. 
         FIG. 7B  is an isometric view of a representative one of the elongate members of the device of  FIG. 7A . 
         FIGS. 7C, 7D, 7E, and 7F  are various isometric views of the portion of the device of  FIG. 7A  extending at least partially from the catheter sheath and positioned at four successive intervals of time according to an example embodiment. 
         FIG. 7G  is a plan view of various elongate members that are provided to form at least a portion of respective ones of the elongate members employed by the device of  FIG. 7A . 
         FIG. 7H  is an isometric view of a representative flexible circuit structure provided to form at least a portion of a respective one of the elongate members employed by the device of  FIG. 7A . 
         FIG. 7I  is an isometric view of one of the provided elongate members of  FIG. 7G  distorted by a first distorting process according to an example embodiment. 
         FIG. 7J  is an isometric view of an assemblage of a portion of a flexible circuit structure and the provided elongate member of  FIG. 7I . 
         FIG. 7K  is an isometric view of the assemblage of the flexible circuit structure and the provided elongate member of  FIG. 7J  distorted by a second distorting process according to an example embodiment. 
         FIG. 7L  is a side view of a portion of an arrangement of elongate members as per an example embodiment. 
         FIGS. 7L  (A-A),  7 L (B-B) and  7 L (C-C) are various cross-sectional views of the arrangement of elongate members of  FIG. 7L  taken along section lines A-A, B-B and C-C, respectively. 
         FIG. 7M  are respective side and end elevation views of each elongate member of the arrangement of elongate members of  FIG. 7L . 
         FIG. 8  is a flow diagram representing a method according to one example embodiment. 
         FIG. 9A  is an isometric view of a portion of a device that includes a number of elongate members extending from a catheter sheath in a deployed configuration according to another example embodiment. 
         FIG. 9B  is a partially sectioned plan view of the portion of the device of  FIG. 9A . 
         FIG. 9C  is an isometric view of the portion of device of  FIG. 9A  extending from the catheter sheath after undergoing an additional manipulation in the deployed configuration. 
         FIG. 9D  is a partially sectioned plan view of the portion of the device of  FIG. 9C . 
         FIG. 10A  is a view of a structure in an unexpanded configuration according to various embodiments. 
         FIG. 10B  is a view of an example of the structure of  FIG. 10A  in an expanded configuration according to various embodiments. 
         FIG. 11A  is a partially schematic isometric view of a structure that includes a plurality of elongate members, the structure in an unexpanded configuration according to various embodiments. 
         FIG. 11B  is an isometric view of an example of the structure of  FIG. 11A  in an expanded configuration according to various embodiments. 
         FIG. 11C  is a plan view of the structure of  FIG. 11B  in the expanded configuration. 
         FIG. 11D  is a plan view of the structure of  FIG. 11C , an intermediate portion of each of a number of the plurality of elongate members rotated in a first rotational direction according to various embodiments. 
         FIG. 11E  is a plan view of the structure of  FIG. 11C , an intermediate portion of each of a number of the plurality of elongate members rotated in a second rotational direction opposite the first rotational direction according to various embodiments. 
     
    
    
     DETAILED DESCRIPTION 
     In the following description, certain specific details are set forth in order to provide a thorough understanding of various embodiments of the invention. However, one skilled in the art will understand that the invention may be practiced without these details. In other instances, well-known structures associated with Radio Frequency (RF) ablation and electronic controls such as multiplexers have not been shown or described in detail to avoid unnecessarily obscuring descriptions of the embodiments of the invention. 
     The word “ablation” should be understood to mean any disruption to certain properties of the tissue. Most commonly, the disruption is to the electrical conductivity and is achieved by heating, which can be generated with resistive or of Radio Frequencies (RF) techniques for example. Other properties, such as mechanical or chemical, and other means of disruption, such as optical, are included when the term “ablation” is used. 
     The word “fluid” should be understood to mean any fluid that can be contained within a bodily cavity or can flow into or out, or both into and out of a bodily cavity via one or more bodily openings positioned in fluid communication with the bodily cavity. In the case of cardiac applications, fluid such as blood will flow into and out of various intra-cardiac cavities (e.g., the left atrium and the right atrium). 
     The words “bodily opening” should be understood to be a naturally occurring bodily opening or channel or lumen; a bodily opening or channel or lumen formed by an instrument or tool using techniques that can include, but are not limited to, mechanical, thermal, electrical, chemical, and exposure or illumination techniques; a bodily opening or channel or lumen formed by trauma to a body; or various combinations of one or more of the above. Various elements having respective openings, lumens or channels and positioned within the bodily opening (e.g., a catheter sheath) may be present in various embodiments. These elements may provide a passageway through a bodily opening for various devices employed in various embodiments. 
     The word “tissue” should be understood to mean any tissue that is used to form a surface within a bodily cavity, a surface of a feature within a bodily cavity or a surface of a feature associated with a bodily opening positioned in fluid communication with the bodily cavity. The tissue can include part or all of a tissue wall or membrane that includes a surface that defines a surface of the bodily cavity. In this regard, the tissue can form an interior surface of the cavity that surrounds a fluid within the cavity. In the case of cardiac applications, tissue can include tissue used to form an interior surface of an intra-cardiac cavity such as a left atrium or right atrium. 
     The term “transducer element” in this disclosure should be interpreted broadly as any device capable of distinguishing between fluid and tissue, sensing temperature, creating heat, ablating tissue and measuring electrical activity of a tissue surface, or any combination thereof. A transducer element can convert input energy of one form into output energy of another form. Without limitation, a transducer element can include an electrode or a sensing device. A transducer element may be constructed from several parts, which may be discrete components or may be integrally formed. 
     Reference throughout this specification to “one embodiment” or “an embodiment” or “an example embodiment” or “an illustrated embodiment” means that a particular feature, structure or characteristic described in connection with the embodiment is included in at least one embodiment of the present invention. Thus, the appearances of the phrases “in one embodiment” or “in an embodiment” or “in an example embodiment” or “in this illustrated embodiment” in various places throughout this specification are not necessarily all referring to the same embodiment. Furthermore, the particular features, structures or characteristics may be combined in any suitable manner in one or more embodiments. 
     Various embodiments of percutaneously or intravascularly deployed medical devices are described herein. Many of the described devices are moveable between a delivery or unexpanded configuration in which a portion of the device is sized for passage though a bodily opening leading to cavity within a body, and a deployed or expanded configuration in which the portion of the device has a size too large for passage through the bodily opening leading to the cavity. In some example embodiments, the device senses characteristics (e.g., convective cooling, permittivity, force) that distinguish between fluid (e.g., blood) and tissue forming an interior surface of the bodily cavity. Such sensed characteristics allow a medical system to map the cavity, for example using positions of openings or ports into and out of the cavity to determine a position or orientation (i.e., pose), or both a position and orientation of the portion of the device in the bodily cavity. In some example embodiments, the devices are capable of ablating tissue in a desired pattern within the bodily cavity. In some example embodiments, the devices are capable of sensing characteristics (e.g., electrical activity) indicative of whether an ablation has been successful. In some example embodiments, the devices are capable of providing stimulation (e.g., electrical stimulation) to tissue within the bodily cavity. Electrical stimulation may include pacing. 
     An example of the mapping performed by devices according to various embodiments would be to locate the position of various bodily openings leading to the pulmonary veins as well as the mitral valve on the interior surface of the left atrium. In some example embodiments, the mapping is based at least on locating such bodily openings by differentiating between fluid and tissue. There are many ways to differentiate tissue from a fluid such as blood or to differentiate tissue from a bodily opening in case a fluid is not present. By the way of example, three approaches may include: 
     1. The use of convective cooling of heated transducer elements by the blood. A slightly heated arrangement of transducer elements that is positioned adjacent to the tissue that forms the interior surface(s) of the atrium and across the ports of the atrium will be cooler at the areas which are spanning the ports carrying blood flow. For example, commonly assigned U.S. Patent Application Publication 2008/0004534 A1, which is herein incorporated by reference in its entirety, describes a heart chamber mapping system based on the convective cooling effect of blood flow. 
     2. The use of the differing change in dielectric constant as a function of frequency between blood and tissue. An arrangement of transducer elements positioned around the tissue that forms the interior surface(s) of the atrium and across the ports of the atrium monitors the ratio of the dielectric constant from 1 KHz to 100 KHz. Such can be used to determine which of those transducer elements are not proximate to tissue, which is indicative of the locations of the ports. 
     3. The use of transducer elements that sense force (i.e., force sensors). A set of force detection transducer elements positioned around the tissue that forms the interior surface of the atrium and across the ports of the atrium can be used to determine which of the transducer elements are not in contact with the tissue, which is indicative of the locations of the ports. 
       FIG. 1  shows a device  100  useful in investigating or treating, or both investigating and treating a bodily organ, for example a heart  102 , according to one illustrated embodiment. 
     Device  100  can be percutaneously or intravascularly inserted into a portion of the heart  102 , such as an intra-cardiac cavity like left atrium  104 . In this example, the device  100  is part of a catheter  106  inserted via the inferior vena cava  108  and penetrating through a bodily opening in transatrial septum  110  from right atrium  112 . In other embodiments, other paths may be taken. 
     Catheter  106  includes an elongated flexible rod or shaft member appropriately sized to be delivered percutaneously or intravascularly. Catheter  106  may include one or more lumens (not shown). The lumen(s) may carry one or more communications or power paths, or both communications and power paths, for example one or more electrical conductors  116 . Electrical conductors  116  provide electrical connections to device  100  that are accessible externally from a patient in which device  100  is inserted. 
     As discussed in more detail herein, device  100  includes a structure or frame  118  which assumes an unexpanded configuration for delivery to left atrium  104 . Frame  118  is expanded (i.e., shown in an expanded configuration in  FIG. 1 ) upon delivery to left atrium  104  to position a plurality of transducer elements  120  (only three called out in  FIG. 1 ) proximate the interior surface formed by tissue  122  of left atrium  104 . In this example embodiment, at least some of the transducer elements  120  are used to sense a physical characteristic of a fluid (i.e., blood) or tissue  122 , or both, that may be used to determine a position or orientation (i.e., pose), or both of a portion of a device  100  within, or within respect to left atrium  104 . For example, transducer elements  120  may be used to determine a location of pulmonary vein ostia (not shown) and/or a mitral valve  126 . In this example embodiment, at least some of the transducer elements  120  may be used to selectively ablate portions of the tissue  122 . For example, some of the elements may be used to ablate a pattern around the bodily openings, ports or pulmonary vein ostia, for instance to reduce or eliminate the occurrence of atrial fibrillation. 
       FIG. 2  schematically shows a system that includes a device  200  according to one illustrated embodiment. Device  200  includes a plurality of flexible strips  204  (three called out in  FIG. 2 ) and a plurality of transducer elements  206  (three called out in  FIG. 2 ) arranged to form a two- or three-dimensional grid or array capable of mapping, ablating, stimulating, or combinations thereof, an inside surface of a bodily cavity or lumen without requiring mechanical scanning. The flexible strips  204  are arranged in a framed structure  208  that is selectively movable between an unexpanded configuration and an expanded configuration that may be used to force flexible strips  204  against a tissue surface within the bodily cavity or position the flexible strips in the vicinity of the tissue surface. The flexible strips  204  can form part of a flexible circuit structure (i.e., also known as a flexible printed circuit board (PCB) circuit). The flexible strips  204  can include a plurality of different material layers. The expandable frame  208  can include one or more resilient members. The expandable frame  208  can include one or more elongate members. Each of the one or more elongate members can include a plurality of different material layers. Expandable frame  208  can include a shape memory material, for instance Nitinol. Expandable frame  208  can include a metallic material, for instance stainless steel, or non-metallic material, for instance polyimide, or both a metallic and non metallic material by way of non-limiting example. The incorporation of a specific material into expandable frame  208  may be motivated by various factors including the specific requirements of each of the unexpanded configuration and expanded configuration, the required position or orientation (i.e., pose), or both of expandable frame  208  in the bodily cavity or the requirements for successful ablation of a desired pattern. 
     Expandable frame  208 , as well as flexible strips  204  can be delivered and retrieved via a catheter member, for example a catheter sheath introducer  210 , which in some embodiments may have a diameter of about 24 French or smaller while in other embodiments may have a diameter of 16 French or smaller. In some instances, devices deliverable via larger or smaller sized catheter sheets may be employed. Flexible strips  204  may include one or more material layers. Flexible strips  204  may include one or more thin layers of Kapton® (polyimide), for instance 0.1 mm thick. Transducer elements (e.g., electrodes or sensors, or both)  206  may be built on the flexible strips  204  using conventional printed circuit board processes. An overlay of a thin electrical insulation layer (e.g., polyimide about 10-20 microns thick) may be used to provide electrical insulation, except in areas needing electrical contact to blood and tissue. In some embodiments, flexible strips  204  can form a portion of an elongated cable  216  of control leads  218 , for example by stacking multiple layers, and terminating at a connector  220 . In some example embodiments, flexible strips  204  are formed from flexible substrates onto which electrically conductive elements (e.g., conductive lines or traces) are provided. In some example embodiments flexible strips  204  form flexible circuit structures. In some example embodiments, a portion of device  200  is typically disposable. 
     Device  200  can communicate with, receive power from or be controlled by a control system  222 , or combinations thereof. The control system  222  may include a controller  224  having one or more processors  226  and one or more non-transitory storage mediums  228  that store instructions that are executable by the processors  226  to process information received from device  200  or to control operation of device  200 , or both. For example, controller  224  can control activating selected transducer elements  206  to ablate tissue. Controller  224  may include one or more controllers. Control system  222  may include an ablation source  230 . The ablation source  230  may, for example, provide electrical current or power, light or low temperature fluid to the selected transducer elements  206  to cause ablation. The ablation source may include an electrical current source or an electrical power source. Control system  222  may also include one or more user interface or input/output (I/O) devices, for example one or more displays  232 , speakers  234 , keyboards, mice, joysticks, track pads, touch screens or other transducers to transfer information to and from a user, for example a care provider such as a physician or technician. For example, output from the mapping process may be displayed on a display  232 . 
     In some embodiments, a frame provides expansion and contraction capabilities for a portion of the medical device (e.g., arrangement or array of transducer elements) used to distinguish between blood and tissue. The transducer elements used to sense a parameter or characteristic to distinguish between a fluid such as blood and tissue may be mounted or otherwise carried on a frame, or may form an integral component of the frame itself. The frame may be flexible enough to slide within a catheter sheath in order to be deployed percutaneously or intravascularly.  FIG. 2 , discussed previously, showed one embodiment of such a frame. 
       FIGS. 3A, 3B and 3C  show a portion of the medical device  1400  in various configurations. Specifically,  FIG. 3A  shows that the portion of the device  1400  includes a structure or frame  1402  made from a plurality of elongate members  1404   a ,  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  (collectively  1404 ). The elongate members  1404  can be selectively arranged in one of a plurality of different arrangements. The elongate members  1404  can be selectively moved between various different configurations. The portion of the device  1400  (i.e., including frame  1402 ) is shown in a first, or an unexpanded configuration suitably sized for delivery within a catheter sheath  1406  of a catheter system  1408  in  FIG. 3A . In some embodiments, employed catheter sheaths may be steerable devices with a portion thereof deflected by an actuator contained in a control portion (e.g., a handle portion). Various levers, knobs, wheels, pulleys, sheathes, etcetera may be employed to steer a deflectable portion of a catheter sheath. Catheter system  1408  is employed to percutaneously or intravascularly deliver a portion of device  1400  through a bodily opening leading to a bodily cavity such as an intra-cardiac cavity (not shown) by way of non-limiting example.  FIG. 3B  shows the portion of device  1400  including frame  1402  in a second or bent or expanded and unfanned configuration. In this embodiment, the second/bent configuration is assumed as various portions of frame  1402  are advanced from catheter sheath  1406 .  FIG. 3C  shows the portion of device  1400  including frame  1402  in a third, or expanded configuration. In this illustrated embodiment, the third or expanded or fanned configuration is also alternatively referred to in this application as a fanned configuration, expanded configuration or expanded fanned configuration. The portion of device  1400  including frame  1402  can assume either of the second/bent or the third/expanded or fanned configuration when positioned within the bodily cavity (not shown) by way of example. In this illustrated embodiment, the first configuration is an example of a delivery configuration in which a portion of frame  1402  is suitably sized for delivery through a bodily opening leading to a bodily cavity. In this illustrated embodiment, each of the second and the third configurations is an example of a deployed configuration in which various portions of frame  1402  are manipulated to have a size too large for delivery through the opening leading to the bodily cavity. The portion of device  1400  including frame  1402  is moved into the third/expanded or fanned configuration from the second/bent configuration in this embodiment. In this illustrated embodiment, frame  1402  is sized too large for delivery through catheter sheath  1406  when frame  1402  is in either of the second/bent configuration or the third/expanded or fanned configuration. 
     In a manner similar to that described in some previous embodiments, various transducer elements may be carried into a bodily cavity by various ones of elongate members  1404 . In some embodiments, various transducer elements can be provided on, or by, various flexible circuit structures made up of various flexible substrates which can include by way of non-limiting example, elongate member  1404  itself.  FIG. 3D  shows an exploded view of an elongate member  1404  and a flexible circuit structure  1480 . Flexible circuit structure  1480  can include one or more flexible substrates  1482  (i.e., two in this illustrated embodiment) and at least one electrically conductive layer  1484 . In this example embodiment, the at least one conductive layer  1484  has been patterned to form a plurality of transducer elements  1490  (three called out). In this embodiment, the at least one conductive layer  1484  has been patterned to form a plurality of electrodes. Various ones of the at least one conductive layers can be patterned to form other features and elements including conductive traces or lines by way of non-limiting example. For clarity, various transducer elements  1490  associated with device  1400  are not shown in  FIGS. 3A, 3B and 3C . For clarity, various flexible circuit structures  1480  associated with device  1400  are not shown in  FIGS. 3A, 3B and 3C . 
     The elongate members  1404  may be transported by a transporter through catheter sheath  1406 . In this embodiment, the elongate members  1404  are transported by shaft member  1410  through catheter sheath  1406 . Shaft member  1410  is typically sized to extend along a path that leads from a location outside the body to a destination at least proximate to the cavity within the body. Shaft member  1410  is typically a flexible member. Shaft member  1410  can include various lumens and passageways (not shown) some of which can be employed as conduits for various control lines, actuators, force transmitters, irrigation channels, suction channels, etcetera. In this embodiment, wrist coupler  1412  articulably couples the frame  1402  to shaft member  1410 . In other example embodiments, other articulated or non-articulated couplers can be employed to couple the frame  1402  to shaft member  1410 . In some example embodiments, a handle (not shown) can be provided at an end of shaft member  1410  opposite to wrist coupler  1412 . The handle may be employed by a care provider to help manipulate the shaft member  1410  through catheter sheath  1406  in some embodiments. The handle may include various controls or actuators, or both, employed for manipulation of various portions of device  1400 . In some embodiments, shaft member  1410  may be a steerable device with a portion thereof deflected by an actuator contained in a control portion (e.g., a handle portion). Various levers, wheels, pulleys, sheathes may be employed to steer a deflectable portion of shaft member  1410 . 
     While six (6) elongate members  1404  are shown in this illustrated embodiment, some embodiments may employ a greater or a fewer number of elongate members  1404 . The present inventors have built devices having fewer than six (6) elongate members (e.g., three (3) elongate members) in some embodiments and more than six (6) elongate members (e.g., eleven (11) elongate members) in other embodiments by way of non-limiting example. 
     As best shown in  FIG. 3D , each of the elongate members  1404  includes a respective distal or first end  1405 , a respective proximal or second end  1407 , a respective intermediate portion  1409  positioned between the first end  1405  and the second end  1407 , and respective length  1411  between the first end  1405  and the second end  1407 . In this embodiment, various ones of the elongate members  1404  has a different respective length  1411  than the respective length  1411  of another of the elongate members  1404 . In other embodiments, two or more of the elongate members  1404  may have substantially equal lengths  1411 . In this embodiment, each of the elongate members  1404  is compliant about at least one axis. Various embodiments can include elongate members  1404  that are pliable, flexible or resilient elongate members. Various embodiments can include elongate members  1404  that have a different bending stiffness when bent about each of a plurality of differently oriented axes. 
     As shown in  FIG. 3A , the elongate members  1404  are arranged successively with respect to one another in a stacked arrangement  1415  when the portion of device  1400  is in the first/unexpanded configuration. In this embodiment, the arrangement of the elongate members  1404  in the stacked arrangement  1415  is an orderly one with each of the elongate members arranged successively with respect to one another along a first direction (i.e., a stacking direction) represented by arrow  1416 . It is understood that the first direction need not be a vertical or “up-down” direction but can also include other orientations. For instance in some embodiments, elongate members  1404  which are successively adjacent one another along the first direction  1416  may be stepped with respect to one another in one or more other directions. Thus, the set of elongate members  1404  may be arranged in a non-stepped stacked arrangement fitting in a rectangular parallelepiped or may be arranged in a stepped stacked arrangement for instance fitting in a non-rectangular parallelepiped. 
     In the illustrated example embodiment, each of the elongate members  1404  is a strip-like member. In this example embodiment, the intermediate portion  1409  of each of the elongate members  1404  includes a set of two opposing surfaces or major faces  1418  made up of a first surface  1418   a  (i.e., also referred to as front surface  1418   a ) (one called out in  FIG. 3A ) and a second surface  1418   b  (i.e., also referred to as back surface  1418   b ) (three called out in  FIG. 3A ). In this example embodiment, the two opposing surfaces  1418  are separated from one another across a thickness  1417  (only one called out in  FIG. 3A ) of the elongate member  1404 . In this illustrated example, the two opposing surfaces  1418  are joined by a set of two opposing edge surfaces  1420   a  and  1420   b  (collectively  1420 ) (only one set called out in  FIG. 3A ) and hence spaced from each other by the thickness of the edge surfaces  1420   a ,  1420   b . In this illustrated embodiment, the surfaces  1418  are arranged successively with respect to one another in the stacked arrangement  1415 . In this embodiment, the elongate members  1404  are successively arranged in an arrayed arrangement sized to be delivered through a lumen of catheter sheath  1406 , with each elongate member  1404  positioned in the arrayed arrangement such that the first surface  1418   a  of the elongate member  1404  is towards the second surface  1418   b  of an additional elongate member  1404  in the arrayed arrangement, or the second surface  1418   b  of the elongate member  1404  is towards the first surface  1418   a  of the additional elongate member  1404  in the arrayed arrangement, or both. For example, one of the outermost elongate members in the arrayed arrangement (i.e., elongate member  1404   a ) is positioned in the arrayed arrangement such that its first surface  1418   a  is towards the second surface  1418   b  of elongate member  1404   b . Outermost elongate member  1404   f  is positioned in the arrayed arrangement such that its second surface  1418   b  is towards the first surface  1418   a  (not called out) of elongate member  1404   e . An inboard elongate member in the arrayed arrangement such as elongate member  1404   d  is positioned such that its first surface  1418   a  (not called out) is positioned towards the second surface  1418   b  (not called out) of elongate member  1404   e  and the second surface  1418   b  (not called out) of elongate member  1404   d  is towards the first surface  1418   a  (not called out) of elongate member  1404   c . In this example embodiment, the first and the second surfaces  1418   a ,  1418   b  of the elongate members  1404  are interleaved in the stacked arrangement  1415 . 
     In various embodiments, each of the elongate members  1404  has at least one surface that has a common characteristic with, or corresponds to, at least one surface of each of the other elongate members  1404 , and the elongate members  1404  are arranged in an arrayed arrangement or stacked arrangement such that the at least one surfaces of the elongate members  1404  are successively arranged along the first direction of stacked arrangement  1415 . In this respect, it is noted that the stacked arrangement does not require that the individual elongated members  1404  actually rest on one another. In many instances of the stacked arrangement, the elongated members or portions thereof may be separated from successively adjacent elongate members, for instance by space, such as in an embodiment of an interleaved arrangement. In some of these various embodiments, each at least one surface is a first surface that is positionable adjacent to a tissue surface in the bodily cavity when the portion of device  1400  is in the third/expanded configuration within the bodily cavity. In some of these various embodiments, each at least one surface is a first surface that is positionable to face or contact a tissue surface in the bodily cavity when the portion of device  1400  is moved into the third/expanded configuration within the bodily cavity. In some of these various embodiments, each at least one surface is a first surface that includes, or supports (i.e., directly or indirectly) one or more transducer elements. In some of these various embodiments, each at least one surface is a first surface that includes, or supports (i.e., directly or indirectly) one or more transducer elements (e.g., an electrode) that are positionable adjacent to a tissue surface in the bodily cavity when the portion of device  1400  is in the third/expanded configuration within the bodily cavity. In some of these various embodiments, each at least one surface is a first surface that includes, or supports (i.e., directly or indirectly) a flexible circuit structure. In some of these various embodiments, each at least one surface is a second surface that is positionable to face away from a tissue surface in the bodily cavity when the portion of device  1400  is in the third/expanded configuration within the bodily cavity. In some of these various embodiments, each at least one surface is arranged to face away from an axis about which the elongate members  1404  are angularly spaced when the portion of device  1400  is in the third/expanded configuration. 
     In some embodiments, the elongate members  1404  are arranged successively adjacent to one another. In some embodiments, partial or full separations or gaps can be present between two elongate members  1404  of various ones of the successive pairs of elongate members  1404  in stacked arrangement  1415 . Substantially uniform separations or varying sized separations between the two elongate members  1404  of each successive pair of the elongate members  1404  in the stacked arrangement  1415  can be present. In some example embodiments, various other elements may be disposed between two elongate members  1404  of various ones of the successive pairs of the elongate members  1404  in the stacked arrangement  1415 . For example, various transducer elements may be positioned between two elongate members  1404  of various ones of the successive pairs of the elongate members  1404  in the stacked arrangement  1415 . The elongate members  1404  can be linearly arrayed along the first direction (i.e., as represented by arrow  1416 ) in the stacked arrangement  1415 . In some embodiments, at least three elongate members  1404  are linearly arrayed along a first direction (i.e., as represented by arrow  1416 ) in an arrayed arrangement. In some embodiments, at least three elongate members  1404  are successively arranged with respect to one another along a first direction (i.e., as represented by arrow  1416 ) in the stacked arrangement  1415 . 
     Elongate members  1404  may be substantially planar members or may have some initial curvature when the portion of device  1400  is in the first/unexpanded configuration. At least one of surfaces  1418   a  and  1418   b  need not be a flat surface. In this example embodiment, elongate members  1404  have a shape that allows them to be successively stacked in stacked arrangement  1415 .  FIG. 3E  shows a cross-section view of stacked arrangement  1415  in a lumen  1403  of catheter sheath  1406  as viewed through lumen  1403 . Stacked arrangement  1415  advantageously allows elongate members  1404  to be arranged in a substantially spatially efficient manner to allow for delivery through catheter sheaths  1406 , enabling a reduced dimension (e.g., a diameter dimension) of catheter sheath  1406 .  FIG. 3E  shows that additional space  1414  within lumen  1403  is also advantageously provided for control lines, actuators and force transmission members (all not shown). Various conventional “basket-type” catheter systems that include resilient members that “spring” outwardly when they are advanced from a catheter sheath into a bodily typically are arranged in a relatively bulky and random or quasi-random arrangement when they are delivered within a catheter sheath which can disadvantageously require the use of larger catheter sheaths. Larger catheter sheaths can also be required for conventional “basket-type” catheter systems that employ buckling mechanisms that outwardly buckle an arrangement of members. Larger catheter sheaths can also be required for conventional ablator systems that employ a substrate that is required to fold upon itself for delivery though the catheter sheath as is the case with various conventional inflatable balloon or bladder based catheter systems. 
     Advantageously, the strip-like elongate members  1404  in this embodiment additionally allows for a reduced bending stiffness about a bending axis arranged perpendicularly to the first or stacking direction of the elongate members  1404  in stacked arrangement  1415 , especially when the elongate members are allowed to slide relatively with respect to one another during the bending. A reduced bending stiffness can facilitate the delivery of the stacked arrangement  1415  through catheter sheath  1406  especially when catheter sheath  1406  extends along a tortuous path to a bodily cavity. The members in many conventional basket-type catheter systems are coupled together in a manner that typically disadvantageously limits sliding movement between the members in a manner that can adversely impact delivery through a catheter sheath. As shown in  FIG. 3A , a portion of elongate member  1404   a  is cantilevered from stacked arrangement  1415  in this embodiment. In this illustrated embodiment, the second end  1407  of elongate member  1404   a  is positioned between the respective first and the second ends  1405 ,  1407  of each of the other elongate members  1404  in stacked arrangement  1415 . In this illustrated embodiment, the length  1411  of elongate member  1404   a  is greater than each of the respective lengths  1411  of the other elongate members  1404  in stacked arrangement  1415 . 
     The elongate members  1404  may be constructed from various materials including, but not limited to, various metal and non-metal compositions, composite materials such as carbon fiber, or flexible PCB substrates with a fiberglass or Nitinol backing. The elongate members  1404  can include one or more material layers. The elongate members  1404  may form an integral component of the transducer elements  1490 . When the transducer elements (e.g., transducer elements  1490 ) form an integral component of the frame  1402 , various material components used in the frame may require various mechanical and electrical properties. If the device  1400  is distinguishing between blood and tissue by sensing convective cooling associated with a moving fluid (i.e., the blood), the material used for at least part of each of various ones of the elongate members  1404  preferably has a measurable change in resistance with temperature that is independent of elongate member  1404  deformation. In some embodiments, a resistance of several ohms per centimeter or higher is preferable as it will reduce the amount of current needed to heat the transducer element. The elongate members  1404  may also act as a support for a secondary assembly that carries the sensing and ablation transducer elements. An example of this is a stainless steel or Nitinol structure used to support transducer elements made with a flexible PCB circuit structure. In this embodiment, elongate members  1404  are resilient metallic elongate members. In this example embodiment, each of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  and are made from 17-7 stainless steel while elongate member  1404   a  is made from Nitinol. The use of Nitinol may be advantageous when a portion of an elongate member  1404  is to be subjected to relative tighter bending conditions or greater angular deflections. 
     In various embodiments, one or more couplers or joints are employed to physically couple some or all of the elongate members  1404  together in stacked arrangement  1415 . In various embodiments, two or more couplers or joints are employed to physically couple some or all of the elongate members  1404  in stacked arrangement  1415 . In some example embodiments, at least one of the couplers or joints is employed to pivotally or articulably or articulatably (used interchangeably herein) couple at least some of the elongate members  1404  together in stacked arrangement  1415 . In this illustrated embodiment, a first coupler  1422  and a second coupler  1424  couple various ones of the elongate members  1404  together. In this example embodiment, second coupler  1424  pivotally couples some of the elongate members  1404  (i.e.,  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f ) together at a location proximate the respective second ends  1407  of these elongate members  1404 . In this embodiment, first coupler  1422  pivotally couples each of the elongate members  1404  (i.e.,  1404   a ,  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f ) together at a location spaced from second coupler  1424  along the respective lengths  1411  of each of the elongate members  1404 . In this embodiment, all of the elongate members  1404  are pivotally coupled together directly by first coupler  1422  while only some, but not all of the elongate members  1404  are directly pivotally coupled together by second coupler  1424 . It is noted however, that in this illustrated embodiment, elongate member  1404   a  is fixedly coupled to elongate member  1404   f  by offset member  1428  and is thereby indirectly pivotally coupled to another of the elongate members  1404  by second coupler  1424 . In some example embodiments, each of the elongate members in a stacked arrangement is directly pivotally or articulably coupled to another of the elongate members in the stacked arrangement by each of at least two couplers or joints. 
     In this illustrated embodiment, each of the first and the second couplers  1422 ,  1424  respectively include first pivot member  1423  and second pivot member  1425  arranged to pivotally couple various ones of the elongate members  1404  together in stacked arrangement  1415 . Second pivot member  1425  is spaced apart from first pivot member  1423  along a respectively coupled one of the elongate members  1404  by a respective length  1426  (only one called out in  FIG. 3A ) along the elongate member  1404 . Each length  1426  can vary as the stacked arrangement  1415  is moved between the first/unexpanded configuration and the second/bent configuration or between the second/bent configuration and the third/expanded or fanned configuration. In this example embodiment, each of the first pivot member  1423  and the second pivot member  1425  takes the form of a pin about which various ones of the elongate members  1402  is configured to turn, revolve or rotate about when the stacked arrangement  1415  is moved to or from the third/expanded or fanned configuration shown in  FIG. 3C . In this embodiment, each of the pivot members  1423 ,  1425  includes two opposing ends and a longitudinal axis extending between the opposing ends. Specifically, first longitudinal axis  1423   a  is associated with first pivot member  1423  and second longitudinal axis  1425   a  is associated with second pivot member  1425 . In this embodiment, each of the first and the second pivot members  1423 ,  1425  is sized to be received in a respective opening provided in various ones of the elongate members  1404 . Each of the first and the second pivot members  1423 ,  1425  can include restraining features (not shown) that additionally restrain the elongate members  1404  from axially escaping from the pivot members. Suitable restraining features can be formed by welding operations, heading operations, machining operations or assembly operations in which additional components are physically coupled to the pivot members  1423 ,  1425 . 
     In other embodiments, other forms of couplings can be employed to physically couple two or more of the elongate members  1404  together. For example, various articulated joints including flexure-type joints can be employed. In some example embodiments, one or more flexible lines are employed to physically couple at least two of the elongate members  1404  together. In some embodiments, each elongate member  1404  has a portion that is positioned between a set of at least two spaced apart articulated joints, the portion being articulable about each of the at least two articulated, articulable or articulation (used interchangeably herein) joints when the stacked arrangement  1415  is in the third/expanded configuration. In this example embodiment, if the elongate members  1404  are arranged successively with respect to one another to form a planar or flat stacked arrangement of the elongate members  1404 , each elongate member  1404  is restrained from turning about each of the first pivot member  1423  and the second pivot member  1425 . In this example embodiment, the orientation of the first and second pivot members  1423  and  1425  and the inherent continuous structure of the elongate members  1404  restrain the elongate members  1404  from turning about each of the first and second pivot members  1423  and  1425  if the elongate members  1404  were to be arranged in a planar or flat stacked arrangement. 
       FIG. 3B  shows the portion of the device  1400  including the plurality of elongate members  1404  positioned in the second/bent configuration. This configuration may be established within a bodily cavity in accordance with various embodiments. In this illustrated embodiment, various ones of the elongate members  1404  have been bent by a bending action created by bender  1430 . In this embodiment, each elongate member  1404  in the stacked arrangement  1415  is bent about a respective bending axis  1431  (only one shown), each bending axis  1431  extending along a direction having a directional component transversely oriented to the respective length  1411  (not called out in  FIG. 3B ) of the elongate member  1404 . In this embodiment, bender  1430  includes at least one control element  1432  configured to alter a curvature or shape of one or more of the elongate members  1404 . In this illustrated embodiment, control element  1432  includes a control line sized to be received by a number of pulleys  1434  (i.e., three called out) that are physically coupled to stacked arrangement  1415 . In this embodiment, each of the pulleys  1434  is physically coupled to elongate member  1404   a , while in other embodiments, one or more of the pulleys can be physically coupled to other ones of the elongate members  1404 . Pulleys  1434  can be employed to reduce the frictional effects and facilitate the bending of various ones of the elongate members  1404  when a tensile force is applied to control element  1432 . In some embodiments, one or more control elements  1432  are directly coupled to various ones of the elongate members  1404 . In this embodiment, each of the pulleys  1434  is coupled to an elongate member  1404  by a respective control line  1436  (i.e., three called out). The control lines  1436  are, in turn, coupled together by control element  1432 . Various arrangements of control elements  1432  and control lines  1436  can be employed to impart a desired curvature or shape change to various portions of selective ones of the elongate members  1404 . Different shape changes can be achieved by changing a location on an elongate member  1404  to which a shape-changing force is applied to by a given one of the control lines  1436 . A relative movement between various ones of the control elements  1432  or an activation timing of various ones of the control elements  1432 , or both can be controlled to impart a desired shape change to a given one of the elongate members  1404  in stacked arrangement  1415 . Control elements  1432  other than control lines can be employed in other example embodiments. For example, a control element  1432  can include a push member configured to apply a compressive force. In this example embodiment, bender  1430  has altered a curvature of each of the elongate members  1404  in stacked arrangement  1415 . In this example embodiment, bender  1430  has coiled elongate member  1404   a.    
     In this embodiment, each of the bent elongate members  1404  assumes a respective arcuate shape between the respective first and second ends  1405 ,  1407  of the elongate member. The arcuate shape can include circular, elliptical arcuate or parabolic forms by way of non-limiting example. In various embodiments, the coupling locations of various control elements  1432  to stacked arrangement  1415  can be selectively chosen to impart a particular curvature or shape to various ones of the elongate members  1404  when the stacked arrangement is moved into the second/bent configuration. 
       FIG. 3C  shows a portion of device  1400  in a third expanded configuration. In this illustrated embodiment, the portion of the device  1400  is moved from the second/bent configuration shown in  FIG. 3B  to the third/expanded configuration shown in  FIG. 3C . In this illustrated embodiment, at least some of the elongate members  1404  are repositioned. In this example embodiment, various ones of the elongate members  1404  are moved to space the intermediate portions  1409  of at least some of the elongate members  1404  apart from one another. In this example embodiment, the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  are angularly spaced with respect to one another about a first axis  1465 . In this example embodiment, the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  are radially oriented about first axis  1465 . In this embodiment, the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  spread out in a ray-like manner from first axis  1465 . In this illustrated embodiment, each of the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  is at a different radial distance from first axis  1465 . In this embodiment, the radial distance from first axis  1465  that each of the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  is positioned at, varies at least in part, based on a positioning of the elongate member  1404  in the bent stacked arrangement shown in  FIG. 3B . In this illustrated embodiment, each of the respective intermediate portions  1409  of elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  has a different curvature. In this example embodiment, various portions of each of the elongate members  1404   b ,  1404   c ,  1404   d ,  1404   e  and  1404   f  are arranged to form a structure having a domed shape  1419  when the portion of device  1400  is in the third/expanded or fanned configuration. In this example embodiment, the dome-shaped structure is positioned opposite from a portion of at least one of the elongate members  1404  (i.e., elongate member  1404   a ). In some example embodiments the domed-shaped structure may have a generally hemi-spherical shape. In other example embodiments, the domed shape structure may have a different shape. For example, the structure&#39;s domed shape may have a first radius of curvature in a first spatial plane and a second radius of curvature in a second spatial plane that intersects the first spatial plane, a magnitude of the second radius of curvature different than a magnitude of the first radius of curvature. 
     In this illustrated embodiment, various ones of the elongate members  1404  are fanned with respect to one another about a fanning axis in a fanned array when the portion of the device  1400  is in the third/expanded configuration. The fanning axis extends along a direction that has a directional component that is transversely oriented to the bending axis  1431  shown in  FIG. 3B . In this illustrated embodiment, various ones of the elongate members  1404  turn, revolve, or rotate (used interchangeably herein) about each of a respective pivot axis associated with each of first coupler  1422  and second coupler  1424  when the portion of the device  1400  is moved into the third/expanded configuration. In this illustrated embodiment, various ones of elongate members  1404  turn about pivot axis  1462   a  and pivot axis  1462   b . In this illustrated embodiment, various ones of elongate members  1404  turn about each of first pivot member  1423  and second pivot member  1425  as the elongate members  1404  are fanned. The respective openings in various ones of the elongate members  1404  in which each of the first and the second pivot members  1423 ,  1425  is located can be appropriately sized to accommodate misalignment between the pivot members  1423 ,  1425  and respective ones of the pivot axes  1462   a ,  1462   b . In this illustrated embodiment, the respective intermediate portions  1409  of various ones of the elongate members  1404  are angularly spaced about first axis  1465  when the portion of the device  1400  is moved into third/expanded configuration. In this example embodiment, the front surface  1418   a  of each of the elongate members  1404  is positioned to face away from the first axis  1465  when the portion of the device  1400  is in the third/expanded or fanned configuration. 
     In this example embodiment, separator  1452  moves various ones of the elongate members  1404  to move the portion of device  1400  into the third/expanded or fanned configuration. In this example embodiment, separator  1452  includes two crank members  1454 , each crank member  1454  physically coupled to one of two flexible rotary shafts  1456 . Various articulated joints pivotally couple each of crank members  1454  to a respective one of flexible rotary shafts  1456  to allow the crank members  1454  to assume one configuration suitable for delivery through catheter sheath  1406  and another configuration suitable for applying sufficient force to move various ones of elongate members  1404 . Selectively applied torque to each of the crank members  1454  via a respective one of flexible rotary shafts  1456  can be applied by various actuators (not shown). In this embodiment, oppositely oriented torques are applied to crank members  1454  to fan different ones of the elongate members  1404  in different directions. In this illustrated embodiment, one of the crank members  1454  is physically coupled to elongate member  1404   b  while the other crank member  1454  is physically coupled to elongate member  1404   c . In this example embodiment, each of the crank members  1454  is physically coupled to a respective one of the elongate members  1404  by a flexible line. The application of sufficient torque to each of the crank members  1454  causes respective ones of the elongate members  1404   b  and  1404   c  to move. Other separators may be employed additionally or alternatively in other example embodiments. For example, various elements (e.g., flexible lines) may be physically coupled to at least some of the elongate members  1404  to apply a force suitable for fanning various ones of the elongate members  1404  with respect to one another. 
     Various coupling members  1458  (four called out) physically couple various ones of the elongate members  1404  together. In this example embodiment, each coupling member  1458  allows movement of one of the elongate members  1404  coupled by the coupling member  1458  to also cause movement of another of the elongate members  1404  coupled by the coupling member  1458 . In this example embodiment, the coupling members  1458  are arranged to restrict or limit an amount of movement that an elongate member  1404  undergoes as the portion of the device is moved into the third/expanded configuration. In this embodiment, each coupling member  1458  is a flexible line. For clarity, bender  1430  is not shown in  FIG. 3C . For clarity, separator  1452  is not shown in  FIG. 3B . For clarity, bender  1430  and separator  1452  are not shown in  FIG. 3A . 
       FIGS. 4A, 4B, 4C, 4D and 4E  show various elevation views of a portion of a device  1700  positioned within a bodily cavity at five successive intervals of time according to an example embodiment. In this illustrated embodiment, the bodily cavity is a left atrium  1762  of a heart  1760  which is showed sectioned for clarity. Device  1700  includes a structure or frame  1702  that includes a plurality of elongate members  1704   a ,  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  (collectively  1704 ) as best shown in  FIGS. 4D, 4E . In a manner similar to the embodiment illustrated in  FIGS. 3A, 3B, and 3C , and as best exemplified in  FIG. 4F , each of the elongate members  1704  includes a respective distal or first end  1705 , a respective proximal or second end  1707 , a respective intermediate portion  1709  positioned between the first end  1705  and the second end  1707 , and a respective length  1711  between the first end  1705  and the second end  1707 .  FIG. 4F  shows an exploded view of an elongate member  1704  and a flexible circuit structure  1780 . 
     As best shown in  FIG. 4A , each of the elongate members  1704  has a different respective length  1711  in this example embodiment. In some embodiments, two or more of the elongate members  1704  may have substantially equal lengths  1711 . As shown in  FIG. 4F , each elongate member  1704  includes a front surface  1718   a  and a back surface  1718   b  positioned opposite to the first surface  1718   a  across a thickness  1717  of the elongate member  1704 . In a manner similar to that described in some previous embodiments, various transducer elements can be carried into a bodily cavity by various ones of elongate members  1704 . In some embodiments, various transducer elements can be provided on, or by various flexible circuit structures made up of various flexible substrates which can include by way of non-limiting example, elongate member  1704  itself. Flexible circuit structure  1780  shown in  FIG. 4F  can include one or more flexible substrates  1782  (i.e., two in this illustrated embodiment) and at least one electrically conductive layer  1784 . In this example embodiment, the at least one conductive layer  1784  has been patterned to form a plurality of transducer elements  1790  (three called out). In this embodiment, the at least one conductive layer has been patterned to form a plurality of electrodes. Various ones of the at least one conductive layers can be patterned to form other features and elements including conductive traces or lines by way of non-limiting example. For clarity, various transducer elements  1790  associated with device  1700  are not shown in  FIGS. 4A, 4B, 4C, 4D, 4E, 4G and 4H . For clarity, various flexible circuit structures  1780  associated with device  1700  are not shown in  FIGS. 4A, 4B, 4C, 4D, 4G and 4H . 
     In this embodiment, the elongate members  1704  are arranged successively with respect to one another in stacked arrangement  1715  when the portion of device  1700  is in the first or unexpanded configuration shown in  FIG. 4A . In this embodiment, the arrangement of the elongate members  1704  in the stacked arrangement  1715  is an orderly one with each of the elongate members  1704  arranged successively with respect to one another along a first direction (i.e., a stacking direction) represented by arrow  1716 . In this example embodiment, the elongate members  1704  are arranged with one another front surface  1718   a -toward-back surface  1718   b  in an array. In some example embodiments, the elongate members  1704  can be interleaved with one another front surface  1718   a -toward-back surface  1718   b  in an array. In this illustrated embodiment, the elongate members  1704  are arranged in a stacked array (i.e., stacked arrangement  1715 ) when delivered through catheter sheath  1706  (shown sectioned in  FIG. 4A  for clarity) which gains access to left atrium  1762  via bodily opening  1764 . Catheter sheath  1706  includes a first end  1706   a , a second end  1706   b  and a lumen  1703  extending between the first and the second ends  1706   a ,  1706   b . In this example embodiment, catheter sheath  1706  is typically positioned such that the second end  1706   b  of the catheter sheath  1706  is positioned at least proximate to a bodily cavity such as left atrium  1762  when catheter sheath  1706  is employed to provide at least part of a percutaneous or intravascular delivery channel. In this example embodiment, each of the elongate members  1704  is arranged to be delivered through the lumen  1703  of catheter sheath  1706  from the first end  1706   a  of catheter sheath  1706  to the second end  1706   b  of catheter sheath  1706 . In this embodiment, each of the elongate members  1704  is arranged in stacked arrangement  1715  such that its respective first end  1705  (i.e., also referred to as the distal end) is advanced out from lumen  1703  from the second end  1706   b  of catheter sheath  1706  before the respective second end  1707  (i.e., also referred to as the proximal end) is advanced out from lumen  1703 . In this example embodiment, the elongate members are arranged to be advanced out from lumen  1703  into left atrium  1762 . In this illustrated embodiment, elongate member  1704   a  is an outermost elongate member in stacked arrangement  1715 . In some embodiments, elongate member  1704   a  is positioned between two of the outermost elongate members  1704  in stacked arrangement  1715 . In this illustrated embodiment, the elongate members  1704  are sized and positioned in stacked arrangement  1715  so that a portion of elongate member  1704   a  is advanced into left atrium  1762  prior to a portion of each of the other ones of the elongate members  1704  in stacked arrangement  1715 . In this illustrated embodiment, the elongate members  1704  are sized and positioned in stacked arrangement  1715  so that a portion of elongate member  1704   a  is advanced from the second end  1706   b  of catheter sheath  1706  prior to a portion of each of the other ones of the elongate members  1704  in stacked arrangement  1715 . In some example embodiments, a respective portion of each of at least two of the elongate members is advanced from the second end  1706   b  of catheter sheath  1706  prior to a portion of each of the other ones of the elongate members  1704  in stacked arrangement  1715 . In this example embodiment, a portion of elongate member  1704   a  is cantilevered from stacked arrangement  1715 . In this illustrated embodiment, the elongate members  1704  are sized and positioned in stacked arrangement  1715  so that the first end  1705  of elongate member  1704   a  is advanced into left atrium  1762  prior to each respective first end  1705  of each of the other ones of the elongate members  1704  in stacked arrangement  1715 . In this example embodiment, the length  1711  of elongate member  1704   a  is greater than each of the respective lengths of each of the other elongate members  1704  in stacked arrangement  1715 . In some example embodiments, a portion of each of at least two elongate members  1704  of a plurality of elongate members  1704  can be advanced into a bodily cavity prior to a portion of any other elongate member  1704  in the plurality of elongate members  1704 . 
     In this illustrated embodiment, a first coupler  1722  and a second coupler  1724  physically couple various ones of the elongate members  1704  together. In this example embodiment, second coupler  1724  pivotally couples at least some of the elongate members  1704  (i.e.,  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f ) together at location proximate the respective second ends  1707  of these elongate members  1704 . First coupler  1722  pivotally couples various ones of the elongate members  1704  (i.e.,  1704   a ,  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f ) together at a location spaced apart from second coupler  1724  along the respective lengths  1711  of each of these elongate members  1704 . As shown in  FIG. 4A  each of the first coupler  1722  and the second coupler  1724  respectively include first pivot member  1723  and second pivot member  1725  arranged to pivotally couple various ones of the elongate members  1704  together in stacked arrangement  1715  in this embodiment. In this example embodiment, each of the first pivot member  1723  and the second pivot member  1725  takes the form of a pin about which various ones of the elongate members  1704  is configured to turn, revolve or rotate about when the stacked arrangement  1715  is moved to, or from, the third/expanded configuration shown in  FIG. 4E . In this embodiment, each of the pivot members  1723 ,  1725  includes two opposing ends and a longitudinal axis extending between the opposing ends. Specifically, first longitudinal axis  1723   a  is associated with first pivot member  1723  and second longitudinal axis  1725   a  is associated with second pivot member  1725 . In this embodiment, each of the first and the second pivot members  1723 ,  1725  is sized to be received in a respective opening provided in various ones of the elongate members  1704 . Other embodiments may employ other forms of couplers or joints. 
     As shown in  FIGS. 4B to 4D , various portions of stacked arrangement  1715  are bent within the left atrium  1762  by bender  1730 . Bender  1730  includes a control element  1732 , which in this illustrated embodiment includes a control line that is coupled to various control lines  1736  that are each coupled to an elongate member  1704 . In this example embodiment, each control line  1736  is coupled to control element  1732  via a pulley  1734 . Control element  1732  is coupled to a control unit  1740  (i.e., schematically shown) that is typically positioned outside of the body. In some embodiments, control unit  1740  is included as part of a catheter system, for example a handle portion of the catheter system that is directly controlled or manipulated by a care provider. In this embodiment, control element  1732  is provided to bending unit  1742 . In this embodiment, control element  1732  is controlled by tensioner  1743  that selectively applies and controls tension provided to control element  1732 . Tensioner  1743  can include various tensioning devices such as cams by way of non limiting example. 
     In this illustrated embodiment, a portion of the stacked arrangement  1715  is bent within left atrium  1762  by bender  1730  as the portion of the stacked arrangement  1715  is advanced into left atrium  1762 . In this embodiment, each of the elongate members  1704  in each portion of the stacked arrangement  1715  bent by bender  1730  is bent about at least one bending axis  1731  (shown in  FIG. 4C ) within left atrium  1762 . In this embodiment, the direction that at least one bending axis  1731  extends along has a directional component transversely oriented to the first or stacking arrangement represented by arrow  1716 . In this embodiment, each of the elongate members  1704  in each portion of the stacked arrangement  1715  bent by bender  1730  is bent in a same direction.  FIGS. 4B, 4C and 4D  show successive portions of stacked arrangement  1715  bending as each portion is advanced into left atrium  1762 . In some embodiments, various portions of stacked arrangement  1715  are each bent by a substantially same angular amount as the portions are advanced into left atrium  1762 . In some embodiments, various portions of the stacked arrangement  1715  are bent by different angular amounts as the portions are advanced into left atrium  1762 . Each angular amount can be predetermined based at least on various factors including, but not limited to, a measured or estimated dimension of left atrium  1762 . As shown in  FIG. 4D , the various elongate members  1704  have been bent into an arcuate stacked array. In this illustrated embodiment, the elongate members  1704  are still arranged front surface  1718   a -toward-back surface  1718   b  in the arcuate stacked array. 
     In this example embodiment, advancing unit  1744  is employed to advance a portion of device  1700  including stacked arrangement  1715  into left atrium  1762 . Advancing unit  1744  can include various manual or powered actuators suitable for delivering a portion of device  1700  through catheters sheath  1706  into left atrium  1762 . In this embodiment, coordinating unit  1746  coordinates the bending of various portions of stacked arrangement  1715  under the influence of bending unit  1742  with the advancement of the portions of stacked arrangement  1715  into left atrium  1762  under the influence of advancing unit  1744 . Coordinating unit  1746  can include various drive components including gears, pulleys, sprockets and timing belts, etcetera suitably arranged to provide the desired coordinated movement. In various embodiments, coordinating unit  1746  may control bending unit  1742  based on various information (e.g., positional information) associated with, or provided by an operation of advancing unit  1744 . 
     As shown in  FIGS. 4B, 4C and 4D , bender  1730  directly bends various portions of elongate member  1704   a  as these portions are advanced into left atrium  1762  in this illustrated embodiment. Elongate member  1704   a  is suitably arranged and coupled with the other elongate members  1704  in stacked arrangement  1715  to cause the other elongate members  1704  to also bend in a desired manner. In this embodiment, the respective first end  1705  of each of the elongate members  1704  moves from bodily opening  1764  into left atrium  1762  along a respective path in left atrium  1762  during the bending and advancement of various portions of stacked arrangement  1715 . In various embodiments, a portion of each of the respective paths extends along an arcuate trajectory. In this example embodiment, the respective path of the first end  1705  of elongate member  1704   a  is longer than each of the respective paths within the left atrium  1762  of the first ends  1705  of the other ones of the elongate members  1704 . In this embodiment, the second end  1707  of elongate member  1704   a  is advanced into left atrium  1762  prior to the respective second ends  1707  of the other elongate members  1704  in stacked arrangement  1715 . In this embodiment, elongate member  1704   a  is coiled in left atrium  1762 . 
     The advancement and bending of various portions of stacked arrangement  1715  into left atrium  1762  moves stacked arrangement  1715  into a second or bent configuration shown in  FIG. 4D . Each of the elongate members  1704  has a generally compact form (e.g., a curled form) when the stacked arrangement  1715  is positioned in the second/bent configuration shown in  FIG. 4D . In this embodiment, the respective first ends  1705  and the respective second ends  1707  of each elongate member  1704  is positioned within left atrium  1762  when stacked arrangement  1715  is in the second/bent configuration. Each of the elongate members  1704  has a respective end-to-end dimension between the respective first end  1705  and the respective second end  1707  of the elongate member  1704 . In this embodiment, elongate member  1704   a  has a smaller end-to-end dimension  1750   a  than the end-to-end dimension of the other elongate members  1704  (e.g., the end-to-end dimension  1750   f  of elongate member  17040  in the second/bent configuration. In this embodiment, each of the elongate members  1704  has a smaller end-to-end dimension when the portion of the device  1700  is in the second/bent configuration than when the portion of the device is in the first/unexpanded configuration. In some embodiments, the end-to-end dimension of each elongate member  1704  may be approximately equal to the respective length  1711  of the elongate member when the portion of the device  1700  is in the first/unexpanded configuration. In various embodiments, the bent stacked arrangement  1715  assumes a shape in the second/bent configuration having dimensions suitably sized to allow the bent stacked arrangement  1715  to be positioned at one or more locations within left atrium  1762  with reduced or no contact between the elongate members  1704  and a tissue surface within left atrium  1762 . 
     Advantageously, in this embodiment, stacked arrangement  1715  is bent as it is advanced from bodily opening  1764  into left atrium  1762  to reduce physical interactions between stacked arrangement  1715  and a tissue surface within left atrium  1762 . A reduction of contact and other physical interaction with the tissue surface within left atrium  1762  during this positioning can reduce occurrences of, or the severity of, damage inflicted to various tissue structures within left atrium  1762  during this positioning. Some conventional “basket-type” catheter systems include resilient members that “spring” outwardly or employ buckling mechanisms that outwardly buckle an arrangement of members, typically have longitudinal lengths (i.e., lengths generally oriented along a direction of advancement from a bodily opening into a left atrium) that are too large to be directly accommodated within the atrium (i.e., the lengths must be sufficiently sized to allow the members to spring outwardly or buckle laterally within the atrium). Typically, these systems require that the arrangement of members be guided within the atrium to position part of the arrangement into another bodily opening leading to the left atrium (e.g., a pulmonary vein opening) to accommodate their excess length prior to expansion of the portion of device  1700  within the left atrium. This can potentially inflict damage to the pulmonary vein and other structures within the atrium. In various embodiments, catheter sheath  1706  is preferably oriented to allow stacked arrangement  1715  to be introduced generally tangentially to an interior tissue surface of left atrium  1762 . As various portions of stacked arrangement  1715  are subsequently advanced and bent within the left atrium  1762 , the generally tangential orientation with the interior tissue surface of left atrium  1762  is substantially maintained to accommodate the overall length of stacked arrangement  1715  while advantageously reducing occurrences of contact with the tissue surface and allowing the stacked arrangement  1715  to be subsequently positioned in a desired expanded or third configuration as shown in  FIG. 4E . In this example embodiment, elongate member  1704   a  moves along a coiled path within left atrium  1762  to advantageously reduce occurrences of contact with the tissue surface. In this example embodiment, elongate member  1704   a  curls away from an interior tissue surface with left atrium  1762  as the elongate member  1704   a  is advanced into left atrium  1762 . 
       FIG. 4E  shows the portion of the device  1700  in a third or expanded configuration in left atrium  1762 . In this illustrated embodiment, the elongate members  1704  were moved from the second/bent configuration shown in  FIG. 4D  to the third/expanded or fanned configuration shown in  FIG. 4E . In this illustrated embodiment, at least some of the elongate members  1704  are repositioned in left atrium  1762 . In this example embodiment, various ones of the elongate members  1704  are moved to space the intermediate portions  1709  of at least some of the elongate members  1704  apart from one another within left atrium  1762 . In this example embodiment, the respective intermediate portions  1709  of elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  are angularly spaced with respect to one another about a first axis  1765  within left atrium  1762 . In this example embodiment, the respective intermediate portions  1709  of elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  are radially oriented about first axis  1765  within left atrium  1762 . In this illustrated embodiment, various ones of the elongate members  1704  are fanned with respect to one another about at least one fanning axis into a fanned array. Each fanning axis extends along a direction that has a directional component that is transversely oriented to the bending axis  1731  shown in  FIG. 4C . In this embodiment, elongate member  1704   a  is positioned inboard within the fanned array. In this illustrated embodiment, various ones of the elongate members  1704  are fanned about each a respective pivot axis associated with each of first coupler  1722  and second coupler  1724 . In this illustrated embodiment, various ones of elongate members  1704  turn about each of first pivot member  1723  and second pivot member  1725  as the elongate members  1704  are moved into the fanned arrangement. Spacings between various ones of the elongate members can be adjusted in various manners to facilitate the fanning of the elongate members  1704 . In this example embodiment, the front surfaces  1718   a  of each of the elongate members is positioned to face a tissue surface within left atrium  1762  when the portion of the device  1700  is in the third/expanded or fanned configuration. 
     Various ones of the elongate members  1704  can be moved in various ways as the portion of device  1700  is moved into the third/expanded configuration. As shown in the cross-section views shown in  FIGS. 4G and 4H , a first set of elongate members  1704  made up of elongate members  1704   b  and  1704   d  is moved, pivoted, rotated, turned or revolved (used interchangeably herein) along an angular direction represented by arrow  1768  while a second set of the elongate members  1704  made up of elongate members  1704   c  and  1704   e  is moved along an angular direction represented by arrow  1766  when the portion of device  1700  is moved, pivoted, rotated, turned or revolved (used interchangeably herein) from the second/bent configuration shown in  FIG. 4G  to the third/expanded configuration shown in  FIG. 4H . In this illustrated embodiment, the first set of elongate members  1704  is moved along an angular direction that is opposite to the angular direction that the second set of elongate members  1704  is moved along. 
     In this example embodiment, a portion of at least a one of the elongate members  1704  in the first set of the elongate members  1704  (e.g., elongate member  1704   d ) is positioned between respective portions of at least two of the elongate members  1704  in the second set of elongate members  1704  (i.e., elongate members  1704   c  and  1704   e ) when the portion of the device  1700  is at least in the first/unexpanded configuration. In this example embodiment, the elongate members  1704   b  and  1704   d  in the first set of elongate members  1704  are interleaved in the bent stacked arrangement  1715  with the elongate members  1704   c  and  1704   e  when the portion of device  1700  is in the second/bent configuration as shown in  FIG. 4G  and when the portion of the device  1700  is in the first/unexpanded configuration (not shown). It is understood that the elongate members  1704  can be arranged differently in other embodiments. For example, the elongate members  1704   b  and  1704   d  in the first set of elongate members  1704  can be arranged successively adjacent to one another in the stacked arrangement  1715  and the elongate members  1704   c  and  1704   e  in the second set of elongate members  1704  can be arranged successively adjacent to one another in the stacked arrangement  1715  when the portion of the device  1700  is in the first/unexpanded configuration or the second/bent configuration. In other embodiments, each of the first and the second sets of elongate members  1704  can have different numbers of elongate members than shown in  FIGS. 4G and 4H . For clarity, elongate member  1704   a  is not shown in  FIGS. 4G and 4H . In some embodiments, an elongate member  1704  that is introduced first in left atrium  1762  (e.g., elongate member  1704   a ) can be positioned between at least two of the elongate members  1704  in the fanned arrangement of the elongate members  1704 . In some embodiments, an elongate member  1704  that is introduced first in left atrium  1762  (e.g., elongate member  1704   a ) can be positioned as an outboard elongate member  1704  in the fanned arrangement of the elongate members  1704 . 
     As shown in  FIG. 4E , separator  1752  moves various ones of the elongate members  1704  to move the portion of device  1700  including stacked arrangement  1715  into the third/expanded configuration. In this example embodiment, separator  1752  includes two crank members  1754 , each crank member  1754  physically coupled to one of two flexible rotary shafts  1756 . Various articulated joints (not shown) pivotally couple each of crank members  1754  to a respective one of flexible rotary shafts  1756  to allow the crank members  1754  to assume a first configuration suitable for delivery through catheter sheath  1706  and a second configuration within left atrium  1762  suitable for applying sufficient force to move various ones of elongate members  1704 . Flexible rotary shafts  1756  are coupled to separating unit  1748  provided by control unit  1740 . Separating unit  1748  is selectively controllable to selectively apply torque to each of the crank members  1754  via a respective one of flexible rotary shafts  1756 . In this embodiment, oppositely oriented torques are applied to crank members  1754  to fan different ones of the elongate members  1704  in different directions. In this illustrated embodiment, one of the crank members  1754  is physically coupled to elongate member  1704   b  while the other crank member  1754  is physically coupled to elongate member  1704   c . The application of sufficient torque to each of the crank members  1754  causes respective ones of the elongate members  1704   b  and  1704   c  to move. Various coupling members  1758  (three called out) physically couple various ones of the elongate members  1704  together. In this example embodiment, each coupling member  1758  allows movement of one of the elongate members  1704  coupled by the coupling member  1758  to also cause movement of another of the elongate members  1704  coupled by the coupling member  1758 . In this example embodiment, the coupling members  1758  are arranged to restrict or limit an amount of movement that an elongate member  1704  undergoes as the portion of the device is moved into the third/expanded configuration. In this embodiment, each coupling member  1758  is a flexible line. In this example embodiment, coordinating unit  1746  restricts separator  1752  from being operated to cause movement of various ones of elongate members  1704  until the portion of the device  1700  is in the second/bent configuration. For clarity, various ones of bender  1730  and separator  1752  are not shown in  FIGS. 4A, 4D and 4E . 
     In this example embodiment, once the portion of device  1700  has been appropriately positioned at a given location within left atrium  1762 , determination of the locations of various components of device  1700  (e.g., transducer elements  1790  including sensors or electrodes or related support structures such as elongate members  1704 ) or the locations of various anatomical features within left atrium  1762  can be determined. In this example embodiment, after the portion of device  1700  has been appropriately positioned at a given location within left atrium  1762 , ablation of various regions of a tissue surface within left atrium  1762  can commence. 
     Typically, when the elongate members  1704  arranged in an arcuate stacked array (i.e., as shown in  FIG. 4D ) are repositioned into a fanned array (i.e., as shown in  FIG. 4E ), the elongate members  1704  are preferably arranged away from various tissue surfaces within the left atrium  1762  to avoid obstructions that could hinder repositioning or to reduce occurrences in which damage may be inflicted on the tissue surfaces, or both. In some example embodiments, portions of each of some of the elongate members  1704  can be positioned away from a tissue surface within a bodily cavity such as left atrium  1762  when the portion of the device  1700  is in the third/expanded or fanned configuration. In some example embodiments, additional manipulation of a portion of device  1700  including elongate members  1704  within a bodily cavity such as left atrium  1762  is initiated when the portion of the device  1700  is moved into the third/expanded or fanned configuration. In some example embodiments, some of the elongate members  1704  are further manipulated to conform to a shape of a tissue surface with a bodily cavity such as left atrium  1762  when the portion of the device  1700  is moved into the third/expanded or fanned configuration. In some example embodiments, a tissue surface within a bodily cavity such as left atrium  1762  is further manipulated to conform to a shape of a number of the elongate members  1704  when the portion of the device  1700  is moved into the third/expanded or fanned configuration. In some example embodiments, a portion of the elongate members  1704  and a tissue surface within a bodily cavity such as left atrium  1762  are each further manipulated to create conformance between a number of the elongate members  1704  and a portion of the tissue surface when the portion of the device  1700  is moved into the third/expanded configuration. In some example embodiments, bending unit  1742  is operated to further manipulate various ones of the elongate members  1704  when the portion of the device  1700  is moved into the third/expanded or fanned configuration. For example, bending unit  1742  can be operated to adjust tension on control element  1732  to release stored potential energy from various ones of the elongate members  1704 . In some example embodiments, an adjustment in tension will cause a resilient elongate member  1704  to uncoil or unbend and bear against a proximate tissue surface within left atrium  1762  by an amount sufficient to bias the remaining elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  towards portions of the tissue surface proximate these elongate members. A location of various transducer elements (e.g., sensors or electrodes, or both) carried by various ones of the elongate members  1704  relative to a tissue surface within left atrium  1762  can also be adjusted by this or other manipulations of the elongate members  1704 . 
       FIG. 5A  is an isometric view of a portion of a device  2400  according to one example embodiment. Device  2400  includes a structure or frame  2402  that includes an arrangement of elongate members  2404   a ,  2404   b ,  2404   c ,  2404   d , and  2404   e  (collectively  2404 ) illustrated in  FIG. 5A  in a first/unexpanded configuration suitably sized for delivery through catheter sheath  2406  (i.e., showed sectioned). The elongate members  2404  are physically coupled to shaft member  2410  which is employed to convey the elongate members  2404  through catheter sheath  2406 . Each of the elongate members  2404  includes a respective distal end  2405  (only one called out), a respective proximal end  2407  (only one called out), a respective intermediate portion  2409  (only one called out) positioned between the distal end  2405  and the proximal end  2407 . In this example embodiment, each elongate member  2404  is arranged in frame  2402  to be advanced distal end  2405  first into a bodily cavity (not shown). 
       FIG. 5B  is an isometric view of one of the elongate members  2404  (i.e., elongate member  2404   b ). Each of the elongate members  2404  includes a respective length  2411  between the distal end  2405  and the proximal end  2407 . As shown in  FIG. 5A , each of various ones of the elongate members  2404  has a different respective length  2411  (not called out) than the respective length  2411  (not called out) of another of the elongate members  2404 . In a manner similar to that described in some previous embodiments, various transducer elements can be carried into a bodily cavity by various ones of elongate members  2404 . In some embodiments, various transducer elements can be provided on, or by various flexible circuit structures made up of various flexible substrates which can include by way of non-limiting example, elongate member  2404  itself. As exemplified in  FIG. 5B , each of the elongate members  2404  includes a plurality of transducer elements  2490  (two called out in each of  FIGS. 5A and 5B ) distributed along the respective length  2411  of the elongate member in this example embodiment. For clarity, various transducer elements  2490  associated with device  2400  are not shown in  FIGS. 5C, 5D, 5E, 5F, 5G, and 5H . 
     In some previously described embodiments, various elongate members had respective lengths that were sized to be substantially less than a circumference of a portion of an interior surface of a bodily cavity to which the elongate member was to be positioned at least proximate to when in a deployed configuration. The circumference of the portion of the interior tissue surface may have a measured or anticipated value. For example, in the deployed configuration of device  1700  of the embodiment shown in  FIG. 4E , various ones of the elongate members  1704  have a respective length  1711  that is sized to be equal to approximately half an internal circumference of left atrium  1762 . In the embodiment shown in  FIG. 4E , elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  in the deployed configuration are arranged in a generally domed-shaped structure. In the deployed configuration of device  1700  of the embodiment shown in  FIG. 4E , the domed shape structure enclosing a volume sized to be on the order of a volume of a hemispherical half of left atrium  1762 . Various transducer elements (e.g., sensors or electrodes, or both) (not shown) carried by various ones of the elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  are essentially distributed across a first region of the interior tissue surface of left atrium  1762  and not across a second region separate from the first region like a region diametrically opposed to the first region. If investigation, sensing or treatment of the second region of the interior tissue surface of left atrium  1762  is additionally required, further operations or manipulations to redeploy device  1700  such that at least a portion of elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e  and  1704   f  are essentially distributed across the second region of the interior tissue surface of left atrium  1762  may be required. This can impose additional requirements when the investigation, sensing or treatment of one region of the interior tissue surface of left atrium  1762  is dependent on a previous investigation, sensing or treatment of another region of the interior tissue surface of left atrium  1762 . For example, in mapping applications, the mapping of features on one region of the interior tissue surface of left atrium  1762  may need to be registered with the mapping of features on another region of the interior tissue surface of left atrium  1762  to provide a global map of the interior surface. In ablation treatment applications, the formation of an ablation lesion extending continuously across both these interior tissue regions may need to employ various stitching techniques to ensure continuity of the ablation lesion. 
     Unlike some previously described embodiments, each of the elongate members  2404  has a respective length  2411  (not called out in  FIGS. 5A, 5C, 5D, 5E, 5F and 5G ) that is at least approximately equal to, or greater than a circumference of a portion of a interior tissue surface of a bodily cavity (again not shown) to which the elongate member  2404  is to be positioned at least proximate to when the portion of the device  2400  is in a deployed configuration. The circumference of the portion of the interior tissue surface may have a measured or anticipated value. In this example embodiment, transducer elements  2490  carried by a given one of elongate members  2404  can be distributed across approximately the entirety of the circumference of a region of an interior tissue surface of a bodily cavity (again, not shown) over which the given one of the elongate members  2404  is positioned at least proximate to in a deployed configuration. In some embodiments, two or more of the elongate members  2404  may have substantially equal lengths  2411 . 
     As shown in  FIG. 5A , at least the respective intermediate portions  2409  of each of the elongate members  2404  are arranged successively with respect to one another in a stacked arrangement  2415  when the portion of device  2400  is in the first/unexpanded configuration. In this embodiment, the arrangement of the respective intermediate portions  2409  in the stacked arrangement  2415  is an orderly one with each of respective intermediate portions  2409  arranged successively with respect to one another along a first direction (i.e., a stacking direction) represented by arrow  2416 . In the illustrated example embodiment, each of the elongate members  2404  is a strip-like member. As shown in  FIG. 5B , the intermediate portion  2409  of each of the elongate members  2404  includes a set of two opposing major faces or surfaces or  2418  made up of a front surface  2418   a  and a back surface  2418   b . In this example embodiment, the two opposing surfaces  2418  are separated from one another by a thickness  2417  of the elongate member  2404 . In this illustrated example, the intermediate portion  2409  of each of the elongate members  2404  further includes a pair of side edges  2420   a ,  2420   b  (collectively  2420 ) of at least one of the front surface  2418   a  and the back surface  2418   b , the side edges of each pair of side edges  2420  opposed to one another across at least a portion of the length  2411  of the respective elongate member  2404 . As used herein and in the claims, the term stacked and variations thereof (e.g., stack) refers to an orientation and does not necessarily require that any one member be carried directly on or supported directly by a next successively adjacent elongate member  2404  in the stack. 
     As best shown in  FIG. 5B , each elongate member includes a geodesic  2414  (i.e., represented by a broken line) extending along a portion of the respective length  2411  between a first location at least proximate the respective proximal end  2407  and a second location at least proximate the distal end  2405  of the elongate member  2404 . As used herein and in the claims the term “geodesic” should be understood to mean the shortest line extending between two points on a given surface (e.g., planar surface, curved surface) of an elongate member employed in various embodiments. In some example embodiments, a geodesic may extend over or bridge a localized opening or other local disruption in the surface of the elongate member as that shortest line extends along the surface between the two points. In this example embodiment, each geodesic  2414  is located at least on the front surface  2418   a  of the intermediate portion  2409  of a respective elongate member  2404 . Each geodesic  2414  is the shortest line on the front surface  2418   a  of the intermediate portion  2409  of a respective elongate member  2404  extending between a first location on the front surface  2418   a  at least proximate the respective proximal end  2407  and a second location on the front surface  2418   a  at least proximate the respective distal end  2405  of the elongate member  2404 . In various embodiments, the distal end  2405  is the portion of the elongate member  2404  is advanced first into a bodily cavity. In some example embodiments, each geodesic  2414  is parallel to a midline, center line, longitudinal axis, etcetera, of a respective major surface  2418  of the elongate members  2404 . In some example embodiments, each geodesic  2414  is a midline, center line, longitudinal axis, etcetera of a respective major surface  2418  of the elongate members  2404 . In some example embodiments, various ones of the elongate members  2404  may be shaped to have a plurality of geodesics  2414  (i.e., each equally sized) extending between locations at least proximate the respective proximal end  2407  and the respective distal end  2405  of the elongate member  2404 . For example, in this illustrated embodiment, the relatively “blunt” or “square” proximal and distal ends  2407 ,  2405  of various ones of the elongate members  2404  allow for a plurality of equally sized geodesics  2414  to be defined across the front surface  2418   a  of each respective elongate member  2404 , each geodesic  2414  spaced from each of the opposing side edges  2420  of the respective elongate member  2404  and each geodesic extending between respective locations at least proximate the proximal and the distal ends  2407 ,  2405  of the respective elongate member  2404 . In this illustrated embodiment, a single geodesic  2414  is shown on a respective front surface  2418   a  at a location spaced from the side edges  2420   a    2420   b  of the front surface  2418   a  for clarity. Some of the other geodesics  2414  that are not shown but having the same length as the illustrated geodesic  2414  may extend over a continuous portion of the front surface  2418   a  between locations at least proximate the respective proximal end  2407  and the respective distal end  2405  of a given elongate member  2404 . 
     As shown in  FIG. 5A , the elongate members  2404  are arranged in a delivery configuration in this example embodiment. The elongate members  2404  are arranged with respect to one another front surface  2418   a -toward-back surface  2418   b  in a stacked array sized to be delivered through a bodily opening (i.e., via a lumen of catheter sheath  2406 ) leading to a bodily cavity. In various embodiments, the front surface  2418   a  is positionable adjacent to an interior tissue surface in the bodily cavity (not shown) when the portion of device  2400  is in a deployed configuration within the bodily cavity. In some embodiments, each front surface  2418   a  is positionable to face an interior tissue surface in the bodily cavity when the portion of device  2400  is in a deployed configuration within the bodily cavity. In this embodiment, each front surface  2418   a  includes, or supports a transducer element  2490  that is positionable adjacent to an interior tissue surface in the bodily cavity when the portion of device  2400  is in a deployed configuration within the bodily cavity. 
     As shown in  FIG. 5B , various ones of elongate members  2404  each includes a plurality of openings  2419  including first opening  2419   a , second opening  2419   b  and third opening  2419   c  in this example embodiment. Each of first opening  2419   a , second opening  2419   b  and third opening  2419   c  provides a passageway through a respective elongate member  2404 . Each of first opening  2419   a , second opening  2419   b  and third opening  2419   c  are spaced from one another along the length  2411  of a respective elongate member  2404 . 
     In various example embodiments, various ones of the elongate members  2404  are physically coupled together by at least one coupler. In this example embodiment, the at least one coupler includes coupler  2422  (i.e., not shown in  FIG. 5B ) which forms part of an articulable joint and includes a pivot member  2423  in the form of a pin sized to be received in the first opening  2419   a . In this embodiment, each of various ones of the elongate members  2404  is configured to turn, revolve, pivot or rotate about pivot member  2423 . The at least one coupler can include other articulated or non-articulated joints in various embodiments. 
       FIG. 5C  is an isometric view of the portion of the device  2400  including the plurality of elongate members  2404  illustrated as positioned in a second/bent configuration (i.e., an example of one deployed configuration). This configuration can be established within a bodily cavity in accordance with various embodiments. In this example embodiment, each elongate member  2404  in the stacked array shown in  FIG. 5A  is bent about a respective bending axis  2431  (only one shown) into an arcuate stacked array as shown in  FIG. 5C . Each bending axis  2431  extends along a direction having a directional component transversely oriented to the respective length  2411  (not called out in  FIG. 5C ) of the elongate member  2404 . In this example embodiment, each elongate member  2404  in the stacked array/stacked arrangement  2415  shown in  FIG. 5A  is coiled or curved back on itself about a respective bending axis  2431  into a coiled stacked array  2430  as shown in  FIG. 5C . 
     In this example embodiment, each elongate member  2404  in frame  2402  is bent to have a generally annular or ring-like profile, with each annular or ring-like profile interrupted by a separation. When positioned in the second/bent configuration, a first portion  2421   a  of the front surface  2418   a  of the respective intermediate portion  2409  of each elongate member  2404  is positioned diametrically opposite to a second portion  2421   b  of the front surface  2418   a  in the annular shaped frame  2402 . When positioned in the second/bent configuration, the coiled arrangement of elongate members  2404  is sized too large for delivery through a lumen of catheter sheath  2406 . In some example embodiments, various ones of the elongate members  2404  are bent by a bending action or force created by a bender (i.e., not shown but similar in function to that of benders  1430  and  1730 ) that may include at least one control element configured to alter a curvature or shape of one or more of the elongate members  2404 . 
       FIGS. 5D and 5F  show a portion of device  2400  in a third/expanded or fanned configuration (i.e., an example of a deployed configuration), according to one embodiment.  FIGS. 5E and 5G  show a portion of device  2400  in a third/expanded or fanned configuration, (i.e., an example of a deployed configuration) according to another embodiment. 
     The third/expanded or fanned configuration can be established within a bodily cavity (not shown) in accordance with various embodiments. In one embodiment, the portion of the device  2400  is moved from the second/bent configuration shown in  FIG. 5B  to the third/expanded or fanned configuration shown as exemplified by either  FIGS. 5D and 5F  or by  FIGS. 5E and 5G . 
     In this illustrated embodiment, at least some of the elongate members  2404  are repositioned with respect to at least one other elongate member  2404  in the coiled stacked array  2430 . In some embodiments, various ones of the elongate members  2404  are fanned, pivoted or turned with respect to at least one other elongate member  2404  about each of one or more axes, the one or more axes positioned to pass through the at least one other elongate member  2404  at two or more locations, each of the two or more locations spaced from another of the two or more locations along the respective length  2411  (not called out in  FIGS. 5D, 5E, 5F and 5G ) of the at least one other elongate member  2404 . For example, as shown in  FIGS. 5D and 5E , various ones of elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  are rotated about the one or more axes  2435  which is or are arranged to pass through elongate member  2404   a  at each of three spaced apart locations  2436   a ,  2436   b  and  2436   c  along the respective length  2411  of elongate member  2404   a . Various ones of locations  2436   b  and  2436   c  are not easily seen in each of  FIGS. 5D and 5E  because of the overlapping elongate members  2404  and are called out along with location  2436   a . It is understood that locations  2436   a ,  2436   b  and  2436   c  are each respectively spaced apart from one another along the one or more axes  2435 . For clarity, the locations  2436   a ,  2436   b  and  2436   c  are represented by a respective “x” in  FIG. 5A  which shows elongate member  2404   a  in the first/unexpanded configuration. 
     In this example embodiment, various ones of elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  can be fanned with respect to elongate member  2404   a  along a first rotational direction (i.e., represented by first arrow  2437   a ) as shown in  FIG. 5D , and along a second rotational direction (i.e., represented by second arrow  2437   b ) as shown in  FIG. 5E  that is opposite to the first rotational direction. When the portion of device  2400  is positioned in the second/bent configuration, location  2436   b  would be located along the respective length  2411  of elongate member  2404   a  between the respective first portion  2421   a  (i.e., called out in  FIG. 5C ) and the respective second portion  2421   b  (i.e., called out in  FIG. 5C ) of the front surface  2418   a  of elongate member  2404   a . For clarity, various ones of elongate members  2404   a ,  2404   b ,  2404   c ,  2404   d  and  2404   e  have been called out twice in each of  FIGS. 5D and 5E  to illustrate their annular or quasi-annular or ring-like profile in the third/expanded configuration. 
     As best illustrated in  FIG. 5F , various elongate members  2404  sweep out two opposing fanned sectors  2438   a  about the one or more axes  2435  (i.e., shown by an “x”) when rotated in the first rotational direction (i.e., represented by first arrow  2437   a ). As best illustrated in  FIG. 5G , the various elongate members  2404  sweep out two opposing fanned sectors  2438   b  about one or more axes  2435  (i.e., shown by an “x”) when rotated in the second rotational direction (i.e., represented by second arrow  2437   b ). In this example embodiment, each fanned sector  2438   a  and  2438   b  forms a quadrant of an approximately spherical fanned envelope created by a combination of the two oppositely fanned rotations. A separator (i.e., not shown, but similar in function to that of separators  1452  and  1752 ) may be employed to fan the various elongate members  2404 . 
     In one example embodiment, elongate member  2404   a  is manipulated separately from the other elongate members  2404  to unbend and bear against a proximate interior tissue surface within the bodily cavity by an amount sufficient to hold elongate member  2404   a  relatively fast to the interior tissue surface of the bodily cavity. This can be accomplished, for example, by the use of a bending unit (i.e., not shown but similar in function to that of benders  1430  and  1730 ) which increases or releases stored potential energy in elongate member  2404   a  independently from the other elongate members  2404 . With elongate member  2404   a  substantially fixed with respect to the interior surface of the bodily cavity, various ones of elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  can be fanned with respect to elongate member  2404   a  along the first rotational direction (i.e., represented by first arrow  2437   a ) to distribute transducer elements  2490  (not shown in  FIGS. 5D, 5E, 5F, and 5G ) across a first set of two opposing regional quadrants of an interior tissue surface within the bodily cavity. 
     With elongate member  2404   a  substantially fixed with respect to the interior surface of the bodily cavity, various ones of elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  can be fanned with respect to elongate member  2404   a  along the second rotational direction (i.e., represented by second arrow  2437   b ) to distribute the transducer elements  2490  (again not shown in  FIGS. 5D, 5E, 5F, and 5G ) across another set of two opposing regional quadrants of interior tissue surface within the bodily cavity. After each of the first and the second rotational movements, an investigational, sensing or treatment action may be undertaken on the respective two opposing quadrants of interior surface region of the bodily cavity associated with each of the first and the second rotational movements. Preferably, elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  are positioned to reduce contact between the elongate members and an interior tissue surface of the bodily cavity during each of the first and the second rotational movements to reduce occurrences of damage to the interior tissue surface during these movements. After each of the first and the second rotational movements, various ones of elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  may be additionally manipulated to engage with, or be positioned at least proximate to, the interior tissue surface within the bodily cavity using a same or different mechanism employed to cause the engagement of elongate member  2404   a  with the interior tissue surface. 
     Advantageously, the substantial fixing of elongate member  2404   a  to the tissue surface can reduce the burden of a registration requirement associated with the investigation, sensing or treatment of each of the two sets of two opposing quadrants of the interior tissue surface region within the bodily cavity. Specifically, in mapping applications, the mapping of features on one set of opposing regional quadrants of the interior surface the bodily cavity can be readily registered with mapping of features on the other set of opposing regional quadrants of the interior surface of the bodily cavity to provide a greater contiguous area map or even a global map of the interior tissue surface. In ablation treatment applications, the formation of an ablation lesion extending continuously across both adjacent regional quadrants of the interior surface of the bodily cavity can reduce stitching burdens to better ensure continuity of the ablation lesion. 
     Advantageously, the number of elongate members  2404  employed in this embodiment allows for the investigating, sensing or treatment of a larger region of the interior tissue surface of a bodily cavity while reducing a need to add additional elongate members  2404  that would increase the stacked size of stacked arrangement  2415  and possibly necessitate a use of a larger diameter catheter sheath  2406 . This is possible since each elongate member  2404  has a respective length  2411  approximately equal or greater than a circumference of a portion of an interior tissue surface of a bodily cavity to which the elongate member  2404  is positioned at least proximate to when the portion of the device  2400  is in a deployed configuration. This allows for a greater region of the tissue surface to be investigated, sensed or treated while providing a stacked arrangement  2415  having a relatively small stacked size along the first direction (i.e., as represented by arrow  2416 ). It is additionally noted that the greater respective lengths  2411  of the elongate members  2404  can increase their flexibility to further facilitate their delivery through catheter  2406  when the portion of the device is in the first/unexpanded configuration. The respective length  2411  of each elongate member  2404  may be preselected to be greater than a circumference of a portion of an interior tissue surface of a bodily cavity to which the elongate member  2404  is positioned to account for variances in the actual circumference of the portion of the interior tissue surface. The circumference of the portion of the interior tissue surface may have a measured or anticipated value. 
     Referring back to  FIGS. 5D and 5E , the one or more axes  2435  is or are represented as a single axis arranged to pass through at least elongate member  2404   a  at each of three spaced apart locations  2436   a ,  2436   b  and  2436   c  along the respective length  2411  of elongate member  2404   a  in this embodiment. Again, the three spaced apart locations  2436   a ,  2436   b  and  2436   c  are best seen in  FIG. 5A . In some embodiments, the one or more axes  2435  may include two or more axes, each of the two or more axes passing though a respective one of at least one of the locations  2436   a ,  2436   b  and  2436   c  that are spaced along the respective length  2411  of at least elongate member  2404   a . In some embodiments, at least a first axis of the two or more axes is collinear with a second axis of the two or more axes. In some embodiments, at least a first axis of the two or more axes is not collinear with a second axis of the two or more axes. Minor distortions in the elongate members  2404  or various pivot clearances may allow for some degree of non-collinearity between the axes during the fanning. 
     In this illustrated embodiment, each of the elongate members  2404   b ,  2404   c ,  2404   d  and  2404   e  cross elongate member  2404   a  in an “X” configuration at location  2436   b  in the third/expanded configuration. In various example embodiments, a first elongate member  2404  may cross a second elongate member  2404  in an “X” configuration at two or more locations spaced apart from one another along the respective length  2411  of the second elongate member  2404  in the third/expanded configuration. In some example embodiments, a first elongate member  2404  may cross a second elongate member  2404  in an “X” configuration at least at three locations spaced apart from one another along the respective length  2411  of the second elongate member  2404  in the third/expanded configuration. As used herein and in the claims, when a first elongate member crosses a second elongate member in an X configuration at each of one or more locations, a respective portion of the first elongate member crosses a respective portion of the second elongate member at each location of the one or more locations in a crossed configuration similar in form to the letter “X” as viewed or projected perpendicularly from one of the elongate members at the portion, location or point of the crossing. It is understood that a crossing angle between respective pairs of crossed first and second elongate members may vary within a given embodiment or between different embodiments. 
     In this example embodiment, one of the respective side edges  2420  of at least a first elongate member  2404  crosses one of the respective side edges  2420  of a second elongate member  2404  at each of a plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  as viewed normally to each of a respective one of a plurality of portions of the front surface  2418   a  of the second elongate member  2404  over which each of the plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  is positioned in the third/expanded configuration. In this example embodiment, one of the respective side edges  2420   a  and  2420   b  of at least a first elongate member  2404  crosses an opposite or opposed one of the respective side edges  2420   a  and  2420   b  of a second elongate member  2404  at each of a plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  as viewed normally to each of a respective one of a plurality of portions of the front surface  2418   a  of the second elongate member  2404  over which each of the plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  is positioned in the third/expanded configuration. That is, the one of the respective side edges  2420   a  and  2420   b  of the first elongate member  2404  and the crossed one of side edges  2420   a  and  2420   b  of the second elongate member  2404  are on opposing sides of the stacked arrangement  2415  during the first/unexpanded configuration. For example, as shown in  FIG. 5D , the side edge  2420   b  of elongate member  2404   a  crosses the side edge  2420   a  of elongate member  2404   b  at each of a plurality of spaced apart locations along the respective length  2411  of elongate member  2404   b  as viewed normally to each of a respective one of a plurality of portions of the front surface  2418   a  of elongate member  2404   b  over which each of the spaced apart locations along the respective length  2411  of elongate member  2404   b  is positioned when the various elongate members  2404  are fanned along the first rotational direction (i.e., as represented by first arrow  2437   a ). Conversely, the side edge  2420   a  of elongate member  2404   a  crosses the side edge  2420   b  of elongate member  2404   b  at each of a plurality of spaced apart locations along the respective length  2411  of elongate member  2404   b  as viewed normally to each of a respective one of a plurality of portions of the front surface  2418   a  of elongate member  2404   b  over which each of the spaced apart locations along the respective length  2411  of elongate member  2404   b  is positioned when the various elongate members  2404  are fanned along the second rotational direction (i.e., as represented by second arrow  2437   b ) as shown in  FIG. 5E . The various side edges  2420  of elongate member  2404   a  cross the side edges  2420  of the other elongate members  2404   c ,  2404   d  and  2404   e  in a similar manner in this illustrated embodiment. It is additionally noted in this illustrated embodiment that each of the respective side edges  2420   a  and  2420   b  of at least a first elongate member  2404  crosses a same one (i.e., edges on a same side of stacked arrangement  2415 ) of the respective side edges  2420   a  and  2420   b  of a second elongate member  2404  at each of a respective plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  as viewed normally to each of a respective one of a plurality of portions of the front surface  2418   a  of the second elongate member  2404  over which each of the respective plurality of spaced apart locations along the respective length  2411  of the second elongate member  2404  is positioned when the portion of device  2400  is in the third/expanded configuration. 
     In this example embodiment, the back surface  2418   b  of elongate member  2404   a  contacts the front surface  2418   a  of elongate member  2404   b  at each of at least one of the spaced apart locations along the respective length  2411  of elongate member  2404   b  where a side edge  2420  of elongate member  2404   a  crosses a side edge  2420  of elongate member  2404   b . In this example embodiment, the back surface  2418   b  of elongate member  2404   a  is separated or spaced from the front surface  2418   a  of each of elongate members  2404   c ,  2404   d  and  2404   e  at each of at least one of the spaced apart locations along the respective length  2411  of each of elongate members  2404   c ,  2404   d  and  2404   e  where a side edge  2420  of elongate member  2404   a  crosses a side edge  2420  of each of elongate members  2404   c ,  2404   d  and  2404   e.    
     In this example embodiment, each of locations  2436   b  and  2436   c  passed through by one or more axes  2435  is spaced along the respective length  2411  of elongate member  2404   a  from a location of coupler  2422 . In this example embodiment, coupler  2422  forms part of an articulable joint comprising a pivot axis that is generally coincident with the one or more axes  2435  at location  2436   a  in the third/expanded or fanned configuration. In this example embodiment, coupler  2422  is located relatively closer to the proximal end  2407  of elongate member  2404   a  than each of locations  2436   b  and  2436   c  as best exemplified in  FIG. 5A . Additional couplers may be employed in other example embodiments. For example, an additional coupler may be employed to couple various ones of the elongate members  2404  together to cause the elongate members  2404  to cross or fan with respect to each other at location  2436   c  in the third/expanded or fanned configuration or maintain a crossed or fanned state at location  2436   c  in the third/expanded or fanned configuration. Additionally, a coupler may be employed to couple the elongate members  2404  at a location at least proximate to location  2436   b . It is noted that various shearing translational movements typically are present between adjacent ones of the elongate members  2404  in stacked arrangement  2415  when the stacked arrangement  2415  is moved from the first/unexpanded configuration to the third/expanded or fanned configuration especially when the stacked arrangement  2415  is coiled within a bodily cavity. In some example embodiments, couplers employing obliquely oriented pivot members may be employed to allow for the shearing movement. In various embodiments, an employed pivot member may be a relatively rigid member or a relatively flexible member. In this example embodiment, each opening  2419   b  and  2419   c  is sized to receive at least one flexible line  2440  (called out twice) arranged to pass through each of the opening  2419   b  (i.e., shown in broken lines) and  2419   c  (not called out) provided in each of the elongate members  2404  as shown in  FIG. 5C . A tubular member  2442  having a lumen sized to receive the at least one flexible line  2440  is additionally provided. Tubular member  2442  is partially sectioned to show flexible line  2440 . Upon the application of tension to flexible line  2440  after the stacked arrangement  2415  has been coiled within a bodily cavity, the various elongate members  2404  can be drawn together to align respective ones of the openings  2419   b  together and respective ones of the openings  2419   c  together. Tubular member  2442  is provided to control or impede undesired movement of various portions of the elongate members  2404  towards one another along the at least one axis  2435  (not shown in  FIG. 5C ) under the influence of the tension in flexible line  2440  when the portion of the device  2400  is in the third/expanded or fanned configuration. In the first/unexpanded configuration, little tension is typically provided in flexible line  2440  and tubular member  2442  is conveyed along with the stacked arrangement  2415  through catheter sheath  2406 . For clarity, flexible line  2440  and tubular member  2442  are not shown in  FIGS. 5A, 5B, 5D, 5E, 5F, 5G and 5H . 
     The respective geodesics  2414  of the elongate members  2404  may also cross themselves in the third/expanded or fanned configuration. As best shown in  FIGS. 5D and 5E , the respective geodesic  2414  of elongate member  2404   a  crosses the respective geodesic  2414  of at least one other elongate member  2404  (i.e., elongate member  2404   b  in this exemplary case) at various locations along the respective length  2411  of the at least one other elongate member  2404  as viewed normally to a respective portion of the front surface  2418   a  of the at least one other elongate member  2404  over which each respective location is positioned in the third/expanded or fanned configuration. For clarity of illustration, the respective geodesics  2414  of other ones of the elongate members  2404  are not shown in  FIGS. 5D and 5E . 
       FIG. 5H  is a schematic representation of elongate member  2404   b  crossed by various portions of elongate member  2404   a  in the third/expanded or fanned configuration. For clarity, each of elongate members  2404   b  and  2404   a  are shown in a “flattened” state and it is understood that these elongate members comprise respective arcuate profiles as exemplified in  FIGS. 5D and 5E . In this example embodiment, elongate member  2404   b  is crossed by various portions of elongate member  2404   a  in an X configuration. In this example embodiment, the respective geodesic  2414  of elongate member  2404   a  advantageously crosses the respective geodesic  2414  of elongate member  2404   b  at three spaced apart locations including a first location  2444   b  positioned between two other locations  2444   a  and  2444   c  along the respective geodesic  2414  of elongate member  2404   b  in the third/expanded or fanned configuration. In this illustrated embodiment, each of the three spaced apart locations  2444   a ,  2444   b  and  2444   c  is positioned at least proximate to one of locations  2436   a ,  2436   b  and  2436   c  (i.e., marked by an “X” in  FIG. 5H ) on elongate member passed though by the one or more axes  2435  (not shown in  FIG. 5H ). It is noted that other geodesics  2414  defined on each of elongate members  2404   a  and  2404   b  may also cross each other in a similar manner. Other embodiments may employ other spatial relationships between the geodesic crossing locations and the locations  2436   a ,  2436   b  and  2436   c  passed through by the one or more axes  2435 . In some embodiments, various ones of the geodesic crossing locations or various ones of the locations  2436   a ,  2436   b  and  2436   c  passed through by the one or more axes  2435  may not coincide with a location of a coupler (e.g., coupler  2422 ) employed to couple an elongate member  2404  with at least one other elongate member  2404 . 
     In this example embodiment, various ones of the three spaced geodesic crossing locations including geodesic crossing location  2444   b  are located along the respective length  2411  of elongate member  2404   b  between a location of the coupler  2422  and the respective distal end  2405  of elongate member  2404   b . In this example embodiment, geodesic crossing location  2444   b  is also located along the respective length  2411  of elongate member  2404   b  between coupler  2422  and a second coupler comprising flexible line  2440  (not shown in  FIG. 5H ) passing through opening  2419   c  in elongate member  2404   b.    
       FIG. 6A  is a side elevation view of a portion of a device  2500  according to one example embodiment. Device  2500  includes a structure or frame  2502  that includes an arrangement of elongate members  2504   a ,  2504   b ,  2504   c ,  2504   d ,  2504   e ,  2504   f ,  2504   g ,  2504   h , and  2504   i  (collectively  2504 ). Various ones of the elongate members  2504  are physically coupled to shaft member  2510  which is sized to convey the elongate members  2504  through catheter sheath  2506 . Shaft member  2510  includes a first end portion  2510   a  physically coupled to a handle portion  2503  and a second end portion  2510   b  physically coupled to frame  2502 . In this example embodiment, the second end portion  2510   b  of shaft member  2510  is coupled to frame  2502  at one or more locations proximate to the respective proximal ends  2507  (only one called out) of various ones of the elongate members  2504 . In this example embodiment, the second end portion  2510   b  of shaft member  2510  is physically coupled to frame  2502  at a location proximate the respective proximal end  2507  of elongate member  2504   a.    
       FIG. 6B  is an isometric view of a representative one of the elongate members  2504 . Each of the elongate members  2504  includes a respective distal end  2505 , a respective proximal end  2507  and an intermediate portion  2509  positioned between the proximal end  2507  and the distal end  2505 . Each elongate member  2504  includes a respective length  2511  between the respective proximal and distal ends  2507 ,  2505  of the elongate member. In this example embodiment, each of various ones of the elongate members  2504  has a different respective length  2511  than the respective length  2511  of another of the elongate members  2504 . In some embodiments, two or more of the elongate members  2504  may have substantially equal lengths  2511 . In a manner similar to the respective length of various previously described elongate members, each of the elongate members  2504  has a respective length  2511  (not called out in  FIGS. 6A, 6C, 6D, 6E, 6F, 6G, 6H, 6I, 6J, 6K, 6L, and 6M ) that is at least approximately equal or greater than a circumference of a portion of an interior tissue surface of a bodily cavity (not shown) to which the elongate member  2504  is positioned at least proximate to when the portion of the device  2500  is in a deployed configuration. In a manner similar to other described embodiments, transducer elements (not shown) may be distributed along the respective length  2511  of various ones of the elongate members  2504 . Transducer elements carried by a given one of elongate members  2504  can be distributed around a circumferential region of the interior tissue surface of a bodily cavity (again not shown) over which the given one of the elongate members  2504  is positioned at least proximate to in a deployed configuration. 
     Referring back to  FIG. 6B , the intermediate portion  2509  of each of the elongate members  2504  includes a set of two opposing major faces or surfaces  2518  made up of a front surface  2518   a  and a back surface  2518   b . In this example embodiment, the two opposing surfaces  2518  are separated from one another by a thickness  2517  of the elongate member  2504 . In this illustrated example, the intermediate portion  2509  of each elongate member  2504  further includes a pair of side edges  2520   a ,  2520   b  (collectively  2520 ) of at least one of the front surface  2518   a  and the back surface  2518   b  (i.e., front surface  2518   a  in this embodiment), the side edges of each pair of side edges  2520  opposed to one another across at least a portion of the length  2511  of the respective elongate member  2504 . In this example embodiment, the pair of side edges  2520  defines a portion of a periphery of the front surface  2518   a  of the elongate member  2504 . A geodesic  2514  (i.e., shown as a broken line) is definable for each elongate member  2504 . Each geodesic  2514  extends along a portion of the elongate member  2504  between a first location at least proximate the proximal end  2507  and a second location at least proximate the distal end  2505  of the elongate member  2504 . In this embodiment, each geodesic  2514  extends across the respective front surface  2518   a  of the elongate member  2504 . A portion of geodesic  2514  is shown on the back surface  2518   b  of elongate member  2504   b  in  FIG. 6B  for clarity only. It is understood that the geodesic  2514  in  FIG. 6B  extends across the front surface  2518   a  of elongate member  2504 . Each elongate member  2504  includes a plurality of openings including first opening  2519   a , second opening  2519   b  and third opening  2519   c . In this embodiment, each of first opening  2519   a , second opening  2519   b  and third opening  2519   c  provides a passageway through the intermediate portion  2509  of a respective elongate member  2504 . Each of first opening  2519   a , second opening  2519   b  and third opening  2519   c  is spaced from one another along the length  2511  of a respective elongate member  2504 . 
     In this example embodiment, at least the respective intermediate portions  2509  (one called out in  FIG. 6A ) of various ones of the elongate members  2504  are preformed to have a substantially bent, arcuate or curved profile in an initial state (i.e., a low energy state). As best shown in  FIG. 6A , each of various ones of the elongate members  2504  has a coiled profile (e.g., a profile that curves back on itself) in the initial or low energy state. In some example embodiments, various ones of the elongate members  2504  are coiled in the initial or low energy state. In this particular embodiment, each of the elongate members  2504  includes a scrolled or volute shape profile in the initial configuration. As shown in  FIG. 6A , each of the respective intermediate portions  2509  of the elongate members  2504  are arranged with respect to one another front surface  2518   a -toward-back surface  2518   b  in an initial stacked array  2516  in the initial configuration. In this illustrated embodiment, the initial stacked array  2516  is an arcuate stacked array. In this illustrated embodiment, the initial stacked array  2516  is a coiled stacked array. In this illustrated embodiment, each of the elongate members  2504  has a different curvature along its respective length  2511  in the initial stacked array  2516 . In this example embodiment, each of the elongate members  2504  makes at least one full turn within the initial stacked array  2516 . 
     In various example embodiments, each of various ones of the elongate members  2504  is physically coupled together with at least one other elongate member  2504  by at least one coupler. In this illustrated embodiment, device  2500  includes a plurality of couplers  2522  including a proximal coupler  2522   a , a distal coupler  2522   c  and at least one intermediate coupler  2522   b . In various example embodiments, each of proximal coupler  2522   a , distal coupler  2522   c  and at least one intermediate coupler  2522   b  is arranged to couple at least a first one of the elongate members  2504  with at least one other of the elongate members  2504 . In this illustrated embodiment, proximal coupler  2522   a  forms part of a pivotable joint and includes a pivot member  2523 . In this embodiment pivot member  2523  is in the form of a pin sized to be received in the respective first opening  2519   a  (i.e., first opening  2519   a  shown in  FIG. 6B ) provided in each of the elongate members  2504 . Each of various ones of the elongate members  2504  is configured to turn, revolve, pivot or rotate (i.e., used interchangeably herein) about a pivot axis associated with pivot member  2523 . 
     In this example embodiment, distal coupler  2522   c  includes a first portion  2541   a  of a flexible line  2540   c  sized and arranged to be received in the respective third opening  2519   c  (i.e., best seen in  FIG. 6B ) of each of the elongate members  2504  thereby physically coupling each of the elongate members  2504  together. In this example embodiment, at least a second portion  2541   b  of flexible line  2540   c  forms part of a control member of an elongate member manipulator  2550 , a portion of which may extend along a path through catheter sheath  2506 . Elongate member manipulator  2550  may include various actuators (not shown) operably coupled to various control members to transmit force via the various control members. Suitable actuators may include powered or passive actuators. Suitable actuators may include a handle, knob, lever, etcetera (not shown) manipulated by a care provider to cause force to be transmitted via a control member. In some embodiments, a separate control member is coupled to the first portion  2541   a  of flexible line  2540   c . In this example embodiment, intermediate coupler  2522   b  includes a flexible line  2540   b  sized and arranged to be received in the respective second opening  2519   b  (i.e., best seen in  FIG. 6B ) of each of the elongate members  2504  thereby physically coupling each of the elongate members together. Various knots, ferrules, bushings, etcetera may be employed to restrain a flexible line positioned in at least one of second and third openings  2519   b ,  2519   c  from escaping from the openings. It is noted that alternative or additional couplers  2522  can be employed in some embodiments. For example, couplers such as coupling members  1458 ,  1758  may be employed to couple various ones of the elongate members  2504  together. It is noted that the number of couplers  2522  is not limited to three and may include a number less than or greater than three. In some example embodiments only proximal coupler  2522   a  and distal coupler  2522   c  are employed. Various ones of the proximal coupler  2522   a , distal coupler  2522   c  and at least one intermediate coupler  2522   b  may each couple some or all of the elongate members  2504  in various example embodiments. 
     In this example embodiment,  FIGS. 6C, 6D, 6E, and 6F  are various side elevation views of a portion of device  2500  positioned within a bodily cavity at four successive intervals of time according to an example embodiment. In this illustrated embodiment, the bodily cavity is a left atrium  2562  of a heart  2560  which is shown sectioned for clarity. As shown in  FIG. 6C , the elongate members  2504  (only one called out) are interleaved with one front surface  2518   a  toward another&#39;s back surface  2518   b  (not called out in  FIG. 6C ) in a stacked array  2515  sized to be delivered through a bodily opening  2564  (i.e., via a lumen  2506   c  of catheter sheath  2506  shown sectioned in  FIG. 6C ) when a portion of device  2500  is in a delivery configuration also known as a first or unexpanded configuration. In this example embodiment, the bodily opening  2564  leads to left atrium  2562  which includes an interior tissue surface  2562   a  that is interrupted by a port  2564   a  of opening  2564 . In this example embodiment, the respective intermediate portions  2509  (only one called out) of the elongate members  2504  are arranged in stacked array  2515  such that each elongate member  2504  is advanced distal end  2505  first into left atrium  2562  in the first/unexpanded configuration. In this example embodiment, the plurality of couplers  2522  are arranged to be advanced distal coupler  2522   c  first into left atrium  2562  in the delivery configuration. For clarity, flexible lines  2540   b  and  2540   c  associated with respective ones of intermediate coupler  2522   b  and distal coupler  2522   c  are not shown in  FIGS. 6C, 6D, 6E, 6F, 6G, 6H, 6I, 6K, 6L, 6N and 6O . 
     In this example embodiment, the respective intermediate portions  2509  of various ones of the elongate members  2504  in the initial stacked array  2516  have been stressed into a higher energy state from their initial or low energy state shown in  FIG. 6A . In this example embodiment, the elongate members  2504  in the initial stacked array  2516  have been stressed into a higher energy state suitable for unbending them sufficiently enough for delivery through catheter sheath  2506  during the delivery configuration as shown in  FIG. 6C . In this example embodiment, the initial stacked array  2516  is stressed into a higher energy state by retracting the initial stacked array  2516  into catheter sheath  2506  prior to inserting catheter sheath  2506  into a body. In some example embodiments, the initial stacked array  2516  is stressed into a higher energy state by uncoiling the initial stacked array  2516  and inserting the initial stacked array into catheter sheath  2506 . In some example embodiments, the arrangement of elongate members  2504  is reconfigured from the initial configuration shown in  FIG. 6A  to the delivery configuration shown in  FIG. 6C  at a point-of-use. In some example embodiments, the arrangement of elongate members  2504  is reconfigured from the initial configuration shown in  FIG. 6A  to the delivery configuration shown in  FIG. 6C  at a place of manufacture, assembly or distribution. In various embodiments, various devices including various guides or manipulators may be employed to reconfigure the arrangement of elongate members  2504  from the initial configuration shown in  FIG. 6A  to the delivery configuration shown in  FIG. 6C . In some of these various embodiments, the devices form part of device  2500 . In some of these various embodiments, the devices are extraneous to device  2500 . Preferably, the higher energy states are controlled to not cause damage to device  2500  or catheter sheath  2506  during delivery therethrough. 
     In this example embodiment, potential energy is imparted into the various elongate members  2504  in the stacked array  2515  by the higher energy state, the potential energy sufficient to return the arrangement of elongate members  2504  generally back to their initial energy state when released from the confines of catheter sheath  2506 . In this example embodiment, the lumen  2506   c  is positioned between a first end  2506   a  of catheter sheath  2506  and a second end  2506   b  of catheter sheath  2506 . In some embodiments, catheter sheath  2506  may include a plurality of lumens. In this embodiment, each of the elongate members  2504  is arranged to be delivered through the lumen  2506   c  of the catheter sheath from the first end  2506   a  toward the second end  2506   b  in the delivery configuration. In this example embodiment, each of the elongate members  2504  is arranged to be advanced distal end  2505  first out from the lumen  2506   c  of the catheter sheath  2506  in the delivery configuration. 
       FIG. 6D  shows the portion of the device  2500  including the plurality of elongate members  2504  positioned in a deployed configuration also known as a second or bent configuration within left atrium  2562 . In this example embodiment, each elongate member  2504  (only one called out) is bent about a respective bending axis  2531  (only one shown) into an arcuate stacked array  2532 . In some embodiments, a portion of each of various ones of the elongate members  2504  is bent with a substantially constant curvature about a respective bending axis  2531 . In some embodiments, a portion of each various ones of the elongate members  2504  is bent with a varying curvature about a respective bending axis  2531 . Each bending axis  2531  extends along a direction having a directional component transversely oriented to the respective length  2511  (not called out in  FIG. 6D ) of the elongate member  2504 . In this example embodiment, each elongate member  2504  in the arcuate stacked array  2532  is coiled about a respective bending axis  2531  into a coiled stacked array. In this example embodiment, each elongate member  2504  is bent to have a volute shape profile within the left atrium  2562 . In this example embodiment, each elongate member is bent to have a curvature within the left atrium that varies at least once along the respective length  2511  of the elongate member  2504 . When positioned in the second/bent configuration, a first portion  2521   a  of the front surface  2518   a  of the respective intermediate portion  2509  (only one called out) of each elongate member  2504  is positioned diametrically opposite to a second portion  2521   b  of the front surface  2518   a  in the volute shaped frame  2502 . When positioned in the second/bent configuration, the coiled arrangement of elongate members  2504  is sized too large for delivery through the lumen  2506   c  of catheter sheath  2506 . 
     In this illustrated embodiment, the respective intermediate portions  2509  of various ones of the elongate members  2504  have been preformed to autonomously bend when the intermediate portions  2509  are advanced into a bodily cavity such as left atrium  2562 . As the respective intermediate portions  2509  are advanced into left atrium  2562 , they are freed of the confines of catheter sheath  2506  and return to their low energy state (i.e., their initial coiled configuration). In this example embodiment, the respective distal end  2505  of various ones of the elongate members  2504  moves along a coiled path (e.g., a path that curves back on itself) within the left atrium  2562  when the portion of the device  2500  is moved between the first/unexpanded configuration and the second/bent configuration. In this example embodiment, the coiled path makes at least one full turn within left atrium  2562 . In some embodiments, at least part of the coiled path may extend along a volute path. In this example embodiment, the elongate members  2504  in the second/bent configuration are arranged in an arcuate stacked array  2532  that is similar to the initial stacked array  2516  that elongate members  2504  are arranged in their initial state (i.e., as shown in  FIG. 6A ). In this example embodiment, shaft member  2510  and frame  2502  have a projected outline generally in the shape of the Greek letter rho (ρ) in the second/bent configuration, which letter may be open at point where a loop of the letter would intersect a tail of the letter, and either without, or with, an opening defined by the loop portion of the letter represented in the projected outline. 
     In this embodiment, various elongate members  2504  are preformed to cause stacked array  2515  to autonomously coil as it is advanced into left atrium  2562  in a manner that may advantageously reduce physical interactions between stacked arrangement  2515  and interior tissue surface  2562   a  within left atrium  2562  since the respective distal ends  2505  (only one called out) of the elongate members  2504  continuously bend or curl away from the interior tissue surface  2562   a  as the elongate members  2504  are advanced into left atrium  2562 . A reduction of contact and other physical interaction with the interior tissue surface  2562   a  can reduce occurrences of, or the severity of, damage inflicted to various tissue structures within left atrium  2562  during this positioning. In this illustrated embodiment, the arcuate stacked array  2532  is preferably sized to be positionable within left atrium  2562  with at most, minor amounts of contact with the interior tissue surface  2562   a  of left atrium  2562 . This illustrated embodiment may additionally reduce potential damage to various tissue structures within left atrium  2562  over embodiments employing benders (e.g., benders  1430 , and  1730 ) that bend the elongate members as they are advanced into a bodily cavity. Many benders can impart potential energy into the elongate members during the bending of various portions of the elongate members within a bodily cavity. A failure of either the bender or the elongate member itself can release at least a portion of the potential energy and possibly damage various tissue structures in the bodily cavity. Unlike those embodiments, the elongate members  2504  in the arcuate stacked array  2532  have little potential energy since they are substantially already in their low energy state. 
       FIG. 6E  shows the portion of the device  2500  in a deployed configuration also referred to as a third or expanded or fanned configuration in left atrium  2562 . In this illustrated embodiment, the elongate members  2504  (only one called out) were moved from the second/bent configuration shown in  FIG. 6D  to the third/expanded or fanned configuration shown in  FIG. 6E . In this illustrated embodiment, at least some of the elongate members  2504  in the arcuate stacked array  2515  shown in  FIG. 6E  are repositioned in left atrium  2562 . In this example embodiment, various ones of the elongate members  2504  are moved to angularly space various portions of at least some of the elongate members  2504  with respect to one another within left atrium  2562 . In this illustrated embodiment, various ones of the elongate members  2504  are fanned with respect to one another about one or more fanning axes (not shown in  FIG. 6E ) into a first fanned array  2570 . 
     As shown in  FIGS. 6G, 6H, 6I and 6J , at least one of the elongate members  2504  crosses another of the elongate members  2504  in an X configuration at a location proximate a first axis  2535 . As shown in  FIGS. 6G, 6H, 6I and 6J , various ones of the elongate members  2504  are fanned about first axis  2535 . In this example embodiment, first axis  2535  passes though a plurality of spaced apart locations along the respective length  2511  of each of at least some of the elongate members  2504  when the portion of the device is in the third/expanded or fanned configuration. In this example embodiment, the respective intermediate portions  2509  of each of at least some of the elongate members  2504  are angularly spaced with respect to one another about first axis  2535 . In this illustrated embodiment, each of the at least some of the plurality of elongate members  2504  includes a curved portion  2509   a  (i.e., shown in  FIGS. 6G, 6H, and 6I ) arranged to extend along at least a portion of a respective curved path that intersects the first axis  2535  at each of a respective at least two spaced apart locations along first axis  2535  in the third/expanded configuration. In various embodiments, a curved portion  2509   a  of an elongate member  2504  can extend entirely along, or at least partway along a respective curved path that intersects the first axis  2535  at each of a respective at least two spaced apart locations along first axis  2535  in the third/expanded configuration. In various embodiments, the curved path is an arcuate path. In various embodiments, at least the portion of the curved path extended along by curved portion  2509   a  is arcuate. In this embodiment, at least a first elongate member  2504  crosses a second elongate member  2504  in an X configuration at each of at least one of the respective at least two spaced apart locations along the first axis  2535  intersected by at least the portion of the respective curved path extended along by the curved portion  2509   a  of the second elongate member  2504  in the third/expanded configuration. In this example embodiment, the first axis  2535  is shown as a single axis. It is understood that first axis  2535  can include one or more axes in various embodiments. As shown in  FIG. 6I , in this example embodiment a portion of frame  2502  is radially spaced from first axis  2535  by a first dimension  2580   a  in the third/expanded configuration. In various example embodiments, the portion of frame  2502  that is radially spaced from first axis  2535  by first dimension  2580   a  may include the respective curved portion  2509   a  of at least one of the elongate members  2504 . 
     In this illustrated embodiment, the second end portion  2510   b  of shaft member  2510  is not physically coupled or connected to frame  2502  at various locations on frame  2502  that are symmetrically positioned about first axis  2535  as viewed along first axis  2535  in the third/expanded configuration. Rather, in this example embodiment, the second end portion  2510   b  of shaft member  2510  is physically coupled or connected to frame  2502  at one or more locations on frame  2502 , each of the one or more locations on the structure to which the second end portion  2510   b  is coupled positioned to one side of at least one spatial plane (not shown) that is coincident with first axis  2535 . In this example embodiment, the second end portion  2510   b  of shaft member  2510  is physically coupled or connected at least proximate to the proximal ends  2507  of various ones of the elongate members  2504  in frame  2502 . In this illustrated embodiment, the positioning between frame  2502  and the second end portion  2510   b  of shaft member  2510  results at least in part from the coiling of various ones of the elongate members  2504  within left atrium  2562 . In this example embodiment, shaft member  2510  is positioned to avoid intersection by first axis  2535  in the third/expanded configuration. In this example embodiment, shaft member  2510  is positioned to avoid intersection of the second end portion  2510   b  by first axis  2535  in the third/expanded configuration. In some example embodiments, each of at least some of the plurality of elongate members  2504  may extend generally tangentially from the second end portion  2510   b  of shaft member  2510  in the third/expanded or fanned configuration. In this example embodiment, shaft member  2510  and frame  2502  have a projected outline in the shape of the Greek letter rho (ρ) in the third/expanded configuration. As noted above, the Greek letter rho may be represented as open at a point where a loop of the letter would intersect a tail of the letter if closed or not open, and either without or with an opening defined by a loop portion of the letter represented. 
     Various ones of the elongate members  2504  can be moved in various ways as the portion of the device  2500  is moved into the third/expanded or fanned configuration. In this example embodiment, elongate members  2504  are fanned in a manner similar to that illustrated in  FIGS. 4G and 4H  when the portion of device  2500  is moved from the second/bent configuration shown in  FIG. 6D  to the third/expanded configuration shown in  FIG. 6E . In this example embodiment, a first set of “even” elongate members  2504  (i.e., elongate members  2504   b ,  2504   d ,  2504   f  and  2504   h ) in the sequential arrangement of elongate members  2504  in the arcuate stacked arrangement  2532  are fanned along an opposite direction than a second set of the “odd” elongate members  2504  (i.e., elongate members  2504   c ,  2504   e ,  2504   g  and  2504   i ) in the sequential arrangement of elongate members  2504  in the arcuate stacked arrangement  2532  are fanned along. In this context, the words “even” and “odd” relate to a position of a respective one of the elongate members  2504  in the arcuate stacked array  2532 . In this example embodiment, the elongate members  2504  in the “even” set are interleaved with the elongate member  2504  in the “odd” set in the arcuate stacked array  2532 . In this example embodiment, various fanning mechanisms (not shown) can be employed to move various ones of the elongate members  2504  into the third/expanded configuration. In some example embodiments, various separators similar to previously described separators  1452  and  1752  may be employed to partially or fully fan at least some of the elongate members  2504 . 
     In this example embodiment, when the portion of the device  2500  is moved into the third/expanded configuration, a portion of the front face  2518   a  (not called out in  FIG. 6E ) of each of at least some of the elongate members  2504  in the arcuate stacked array  2532  that faces the back surface  2518   b  (not called out in  FIG. 6E ) of another elongate member  2504  in the arcuate stacked array  2532  is repositioned in left atrium  2562  such that the portion of the front face  2518   a  of each of the at least some of the elongate members  2504  in the first fanned array  2570  directly faces a portion of the interior tissue surface  2562   a  within left atrium  2562 .  FIGS. 6G and 6H  are respective detailed isometric views of the elongate members  2504  arranged in the first fanned array  2570  during the third/expanded or fanned configuration, each of the views showing one of two opposing sides of the first fanned array  2570 . Elongate member  2504   a  and the set of “odd” elongate members  2504   c ,  2504   e ,  2504   g  and  2504   i  are called out in  FIG. 6G  while elongate member  2504   a  and the set of “even” elongate members  2504   b ,  2504   d ,  2504   f  and  2504   h  are called out in  FIG. 6H . In this example embodiment, each of a first portion  2521   a  (one called out) of the front surface  2518   a  of each elongate member  2504  is positioned diametrically opposite to a second portion  2521   b  (only one called out) of the front surface  2518   a  (i.e., as compared between  FIGS. 6G and 6H ) when the portion of device  2500  is in the third/expanded configuration. 
     In this embodiment, frame  2502  is a structure that includes a proximal portion  2502   a  and a distal portion  2502   b , each of the proximal and distal portions  2502   a ,  2502   b  made up of a respective portion of each elongate member  2504  of the plurality of elongate members  2504 . As best seen in  FIG. 6C , frame  2502  is arranged to be advanced distal portion  2502   b  first into left atrium  2562  when the portion of the device  2500  is in the first/unexpanded configuration. As best seen in each of the  FIGS. 6G and 6H , the proximal portion  2502   a  of frame  2502  defines a first domed shape  2508   a  and the distal portion  2502   b  of frame  2502  defines a second domed shape  2508   b  when the portion of the device is in the third/expanded or fanned configuration. In this example embodiment, first domed shape  2508   a  has a respective apex  2512   a  (i.e., shown in  FIG. 6H ) and second domed shape  2508   b  has a respective apex  2512   b  (i.e., shown in  FIG. 6G ). In some example embodiments, apex  2512   b  associated with the distal portion  2502   b  of frame  2502  is positioned relatively closer to the port  2564   a  of opening  2564  than apex  2512   a  associated with the proximal portion  2502   a  of frame  2502  when the portion of the device is in the third/expanded or fanned configuration. In some example embodiments, apex  2512   b  associated with the distal portion  2502   b  of frame  2502  is positioned between port  2564   a  and apex  2512   a  associated with the proximal portion  2502   a  of frame  2502  when the portion of device  2500  is in the third/expanded or fanned configuration. In some example embodiments, apex  2512   b  associated with the distal portion  2502   b  of frame  2502  is positioned between second end  2506   b  of catheter sheath  2506  and apex  2512   a  associated with the proximal portion  2502   a  of frame  2502  when the portion of device  2500  is in the third/expanded or fanned configuration. In some example embodiments, apex  2512   b  associated with the distal portion  2502   b  of frame  2502  is positioned between a portion of shaft member  2510  and apex  2512   a  associated with the proximal portion  2502   a  of frame  2502  when the portion of device  2500  is in the third/expanded or fanned configuration. 
     In various example embodiments, either of the first and the second domed shapes  2508   a ,  2508   b  need not be substantially hemispherical. For example, at least one of the first domed shape  2508   a  and the second domed shape  2508   b  may have a first radius of curvature in a first spatial plane and a second radius of curvature in a second spatial plane that intersects the first spatial plane, a magnitude of the second radius of curvature different than a magnitude of the first radius of curvature. In this example embodiment, each elongate member  2504  of at least some of the plurality of elongate members  2504  crosses at least one other elongate member  2504  of the plurality of elongate members  2504  at a location between the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  when the portion of the device  2500  is in the third/expanded configuration. In this example embodiment, the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  are arranged in a clam shell configuration in the third/expanded configuration. 
       FIG. 6I  is a sectioned side elevation view of the detailed isometric view of the first fanned array  2570  shown in  FIG. 6G . Each of  FIGS. 6G, 6H, 6I and 6J  additionally shows a respective portion of shaft member  2510  and catheter sheath  2506  as well as a portion of the port  2564   a  interrupting the interior tissue surface  2562   a  (not called out in  FIG. 6H ) of left atrium  2562 . In this illustrated embodiment, each of the elongate members  2504  includes a scrolled or a volute shape profile in the third/expanded configuration as best exemplified by elongate member  2504   a  in  FIG. 6I . In this illustrated embodiment, various portions of the elongate members  2504  are fanned such that the second opening  2519   b  (only one called out in each of  FIGS. 6G, 6H, 6I and 6J ) and third opening  2519   c  (only one called out in each of  FIGS. 6G, 6H, 6I and 6J ) of each of various ones of elongate members  2504  is not aligned with a respective one of the second opening  2519   b  and third opening  2519   c  of another of the elongate members  2504 . For clarity, each of flexible line  2540   b  and the first portion  2541   a  of flexible line  2540   c  that form part of a respective one of intermediate coupler  2522   b  and distal coupler  2522   c  and which are arranged to pass through a respective one of the second opening  2519   b  and the third opening  2519   c  in each of the elongate members  2504  are not shown in each of  FIGS. 6G, 6H and 6I . 
       FIG. 6J  is a partially sectioned end elevation view of the first fanned array  2570  showing the respective distal ends  2505  (two called out) of the elongate members  2504 . Various ones of the elongate members  2504  are partially sectioned in  FIG. 6J  to better show the respective distal ends  2505  of the elongate members  2504 .  FIG. 6J  shows the first portion  2541   a  of flexible line  2540   c  follows a winding, zig-zag or serpentine path through the third openings  2519   c  (i.e., only one called out) of alternating ones of the “even” elongate members  2504   b ,  2504   d ,  2504   f  and  2504   h  and the “odd” elongate members  2504   c ,  2504   e ,  2504   g  and  2504   i . Flexible line  2540   b  (not shown) may follow a similar path through the second openings  2519   b  (i.e., only one called out). The second portion  2541   b  of flexible line  2540   c  is also shown in  FIG. 6J . 
     As best shown in  FIGS. 6G and 6H , the respective geodesic  2514  of elongate member  2504   g  crosses the respective geodesic  2514  of at least one other elongate member  2504  (i.e., elongate member  2504   i  in this exemplary case) at various locations along the respective length  2511  (not called out) of the at least one other elongate member  2504  as viewed normally to a respective portion of the front surface  2518   a  of the at least one other elongate member  2504  over which each respective location is positioned in the third/expanded configuration. For clarity of illustration, the respective geodesics  2514  of various ones of the elongate members  2504  are not shown in  FIGS. 6G and 6H . 
       FIG. 6N  schematically shows a portion of the first fanned array  2570  that includes second elongate member (i.e., elongate member  2504   i ) with various portions of a first elongate member (i.e., elongate member  2504   g ) crossing the second elongate member  2504   i  in an X configuration at various locations in the third/expanded or fanned configuration. For clarity, each of elongate members  2504   i  and  2504   g  are shown in a “flattened” state and it is understood that these elongate members include respective arcuate profiles as exemplified in  FIGS. 6G and 6H . The respective geodesic  2514  of the first elongate member  2504   g  crosses the respective geodesic  2514  of the second elongate member  2504   i  at a plurality of spaced apart locations (i.e., each represented by an “X” in  FIG. 6N ) including a first location  2544   c  positioned relatively closer to the respective distal end  2505  of the second elongate member  2504   i  than two other locations  2544   a  and  2544   b  along the respective geodesic  2514  of second elongate member  2504   i  in the third/expanded or fanned configuration. It is understood that each of the crossing locations  2544   a ,  2544   b  and  2544   c  is located on the front surface  2518   a  of the second elongate member  2504   i  and is overlapped by first elongate member  2504   g  in  FIG. 6N . In this illustrated embodiment, the first location  2544   c  is positioned between the location of the proximal coupler  2522   a  and the respective distal end  2505  of the second elongate member  2504   i . In this illustrated embodiment, the first location  2544   c  is positioned along the respective length  2511  of the second elongate member  2504   i  between the respective locations of distal coupler  2522   c  (i.e., the first portion  2541   a  of flexible line  2540   c  which is not shown but whose location in  FIG. 6N  is represented by third opening  2519   c ) and the intermediate coupler  2522   b  (i.e., flexible line  2540   b  whose location in  FIG. 6N  is represented by second opening  2519   b ). In this example embodiment, the first location  2544   c  is positioned along the respective length  2511  of second elongate member  2504   i  relatively closer to the respective distal end  2505  of second elongate member  2504   i  than a respective location of each of the intermediate coupler  2522   b  and the proximal coupler  2522   a . In this example embodiment, the first location  2544   c  is spaced apart from the respective distal end  2505  of second elongate member  2504   i . In this example embodiment, the first elongate member  2504   g  crosses the second elongate member  2504   i  in an X configuration at each of locations  2544   b  and  2544   c.    
     In this example embodiment, additional manipulation of a portion of device  2500  including elongate members  2504  within a bodily cavity such as left atrium  2562  is initiated when the portion of the device  2500  is moved into the third/expanded or fanned configuration. Typically, when the elongate members  2504  arranged in arcuate stacked array  2532  are repositioned into a fanned array (i.e., first fanned array  2570  in this example embodiment), the elongate members  2504  are preferably arranged generally away from various tissue surfaces within the left atrium  2562  to avoid obstructions that could hinder repositioning or to avoid inflicting damage to the tissue surfaces. Referring to  FIG. 6E , various portions of each of some of the elongate members  2504  are positioned away from the interior tissue surface  2562   a  within left atrium  2562  when the portion of the device  2500  is in the third/expanded configuration. As compared between  FIGS. 6G and 6H , the first portions  2521   a  (only one called out) and the second portions  2521   b  (only one called out) of the front surface  2518   a  of each of least some of the elongate members  2504  in the first fanned array  2570  are angularly spaced about first axis  2535  when the portion of the device  2500  is in the third/expanded configuration. In this illustrated embodiment, at least some of the elongate members  2504  are further manipulated in the third/expanded configuration to vary a radial spacing between the first axis  2535  and at least one of the first portion  2521   a  and the second portion  2521   b  of the front surface  2518   a  of various ones of the elongate members  2504 . 
     As shown in  FIG. 6F , at least some of the elongate members  2504  (only one called out) are further manipulated in the third/expanded configuration to form a second fanned array  2572 . In this example embodiment, at least some of the elongate members  2504  are further manipulated to increase a radial distance between the first axis  2535  and at least one of the first portion  2521   a  (not called out in  FIG. 6F ) and the second portion  2521   b  (not called out in  FIG. 6F ) of the front surface  2518   a  of various ones of the elongate members  2504 . In this example embodiment, at least some of the elongate members  2504  are further manipulated to increase first dimension  2580   a  (not called out in  FIG. 6F ). 
     Further manipulation of the at least some of the elongate members  2504  may be motivated for various reasons. For example, the at least some of the elongate members  2504  may be further manipulated to adjust a positioning between various transducer elements carried by the elongate members  2504  and a tissue surface within a bodily cavity. The at least some of the elongate members  2504  may be further manipulated to create conformance with a tissue surface with a bodily cavity such as left atrium  2562  when the portion of the device  2500  is moved into the third/expanded or fanned configuration. In some example embodiments, a tissue surface within a bodily cavity such as left atrium  2562  is further manipulated to conform to a shape of a number of the elongate members  2504  when the portion of the device  2500  is moved into the third/expanded or fanned configuration. In some example embodiments, a portion of the elongate members  2504  and a tissue surface within a bodily cavity such as left atrium  2562  are each further manipulated to create conformance between a number of the elongate members  2504  and a portion of the tissue surface when the portion of the device  2500  is moved into the third/expanded or fanned configuration. In this example embodiment, shaft member  2510  and frame  2502  have a projected outline in the shape of the Greek letter rho (ρ), as noted above, when the elongate members  2504  are further manipulated into the second fanned array  2572 . 
       FIGS. 6K and 6L  are respective detailed isometric views of the elongate members  2504  arranged in the second fanned array  2572  shown in  FIG. 6F , each of the views showing one of two opposing sides of the second fanned array  2572 . In some example embodiments, the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  are additionally manipulated when the portion of the device is moved into the third/expanded or fanned configuration. In some example embodiments, the respective dome shaped structures (i.e., first and second domed shapes  2508   a ,  2508   b ) of the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  are physically coupled together to pivot with respect to one another when the structure is in the third/expanded configuration. In this example embodiment, the respective dome shaped structures (i.e., first and second domed shapes  2508   a ,  2508   b ) of the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  may be pivoted with respect to one another about a region of reduced bending stiffness in frame  2502 . In some example embodiments, portions of various ones of the elongate members  2504  provide a flexure portion of the frame  2502  between the proximal and the distal portions  2502   a ,  2502   b  that pivotably couples the proximal and the distal portions  2502   a ,  2502   b  together. In some example embodiments, the proximal and the distal portions  2502   a ,  2502   b  are pivoted with respect to one another to change a distance therebetween. For example, the proximal and the distal portions  2502   a ,  2502   b  may be pivoted apart to create conformance between frame  2502  and a portion of a tissue surface within a bodily cavity. In some example embodiments, the proximal and the distal portions  2502   a ,  2502   b  are pivoted with respect to one another to change a distance between apex  2512   a  and apex  2512   b.    
     In this example embodiment, at least one of the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  is additionally manipulated to distort a respective one of the first domed shape  2508   a  and the second domed shape  2508   b  to move between the first fanned array  2570  and the second fanned array  2572 . Each of the first domed shape  2508   a  and the second domed shape  2508   b  has a respective volume therein. In some example embodiments, at least one of the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  is acted upon to reduce a difference between the respective volumes of the first and the second domed shapes  2508   a ,  2508   b . In some example embodiments, frame  2502  is acted upon to vary the respective volume of at least one of the first and the second domed shapes  2508   a ,  2508   b . In this example embodiment, a respective volume associated with at least the second domed shape  2508   b  is increased to move between the first fanned array  2570  and the second fanned array  2572 . In some example embodiments, each of the proximal and the distal portions  2502   a ,  2502   b  of frame  2502  are pivotable with respect to one another at a pivot location (e.g., near a crossing location of the elongate members) and each of the first and the second domed shapes  2508   a ,  2508   b  may be characterized at least in part by a respective height (not shown) extending normally from a respective spatial plane (not shown) to the respective apex (i.e., apex  2512   a  or apex  2512   b ) of the domed shape. Frame  2502  may be acted upon to vary at least one of a magnitude of the respective height of the first domed shape  2508   a  and a magnitude of the respective height of the second domed shape  2508   b  to move between the first fanned array  2570  and the second fanned array  2572 . 
       FIG. 6M  shows a sectioned elevation view of the detailed isometric view of  FIG. 6K . Each of  FIGS. 6K, 6L and 6M  additionally includes a respective portion of shaft member  2510  and catheter sheath  2506  as well as the port  2564   a  interrupting the interior tissue surface  2562   a  (not called out in  FIG. 6L ) within left atrium  2562 . As shown in  FIGS. 6K and 6L , the respective intermediate portions  2509  (only one called out) are still fanned or angularly spaced about first axis  2535  in this example embodiment, albeit the first axis  2535  passes through at least some locations through various ones of the elongate members  2504  that are different than the respective locations passed through by the first axis  2535  in the first fanned array  2570  shown in  FIGS. 6G and 6H . In this respect, the angular arrangement is similar to an arrangement of lines of longitude about a body of rotation, which may or may not be a spherical body of rotation. In this illustrated embodiment, each of at least some of the plurality of elongate members  2504  continues to include a curved portion  2509   a  arranged to extend along at least a portion of a respective curved path that intersects the first axis  2535  at each of a respective at least two spaced apart locations along first axis  2535  after the additional manipulation. As shown in  FIGS. 6K and 6L , the first portions  2521   a  (only one called out) and the second portions  2521   b  (only one called out) of the front surfaces  2518   a  of the elongate members  2504  are circumferentially arranged about the first axis  2535 , similar to lines of longitude about an axis of rotation of a body of revolution, which body of revolution may, or may not, be spherical. Use of the word circumference in the application, and derivatives thereof, such as circumferential, circumscribe, circumlocute and other derivatives, refers to a boundary line of a shape, volume or object which may, or may not, be circular or spherical. The terms “radially arranged”, and “angularly arranged” are used interchangeably herein and in the claims, to refer to an arrangement similar to lines of longitude distributed at least partially (e.g., hemispherical) about an axis (e.g., polar axis) of a body (e.g., body of revolution). In this example embodiment, the first portion  2521   a  of the front surface  2518   a  of each elongate member  2504  is positioned to face a first portion of the interior tissue surface  2562   a  (not shown) within left atrium  2562  and the second portion  2521   b  of the front surface  2518   a  of the elongate member  2504  is positioned to face a second portion of the interior tissue surface  2562   a  (not shown) within left atrium  2562 , the second portion of the interior tissue surface  2562   a  positioned diametrically opposite from the first portion of the interior tissue surface  2562   a  in the third/expanded or fanned configuration. 
     As shown in the sectioned view of  FIG. 6M , the distal coupler  2522   c  is located with left atrium  2562  at a respective location positioned relatively closer to port  2564   a  than a respective location of intermediate coupler  2522   b  within the left atrium  2562  when the portion of the device  2500  is in the third/expanded or fanned configuration. In this example embodiment, the distal coupler  2522   c  is located within left atrium  2562  at a respective location positioned relatively closer to the proximal coupler  2522   a  than a respective location of intermediate coupler  2522   b  in the third/expanded or fanned configuration. In this example embodiment, the distal coupler  2522   c  is located within left atrium  2562  at a respective location positioned relatively closer to the proximal coupler  2522   a  in the third/expanded or fanned configuration than when each of the proximal coupler  2522   a  and the distal coupler  2522   c  are located within lumen  2506   c  of catheter  2506  in the first/unexpanded configuration (e.g., as shown in  FIG. 6C ). 
     As shown in  FIG. 6M , proximal coupler  2522   a  is located within the left atrium  2562  at a respective location positioned relatively closer to port  2564   a  than the respective location of intermediate coupler  2522   b  in this illustrated embodiment. In some example embodiments, the respective location of the proximal coupler  2522   a  is located relatively closer to port  2564   a  than the respective location of distal coupler  2522   c  within the left atrium  2562  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in  FIG. 6F . In some example embodiments, the respective location of the distal coupler  2522   c  is located relatively closer to port  2564   a  than the respective location of the proximal coupler  2522   a  within the left atrium  2562  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in  FIG. 6F . In this illustrated embodiment, the proximal coupler  2522   a  is positioned within the left atrium  2562  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in  FIG. 6F . In some example embodiments, the proximal coupler  2522   a  is positioned in the bodily opening  2564  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in  FIG. 6F . In some example embodiments, the proximal coupler  2522   a  is positioned within the body at a respective location outside of the left atrium  2562  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in  FIG. 6F . 
     In this illustrated embodiment, various ones of the elongate members  2504  cross others of the elongate members  2504  at various crossing locations within left atrium  2562  when the portion of the device is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . For example as best shown in  FIGS. 6K and 6L , at least the first elongate member (i.e., elongate member  2504   g ) is positioned to cross the second elongate member (i.e., elongate member  2504   i ) at each of a number of crossing locations  2546  within the left atrium  2562 . In this example embodiment, at least the first elongate member  2504   g  is positioned to cross the second elongate member  2504   i  in an X configuration at some of the crossing locations  2546 . In this embodiment, each of the crossing locations  2546  is located on the front surface  2518   a  of second elongate member  2504   i  at a respective one of a number of locations along the respective geodesic  2514  of second elongate member  2504   i  that is crossed by the respective geodesic  2514  of first elongate member  2504   g  as viewed normally to a respective one of a number of portions of the front surface  2518   a  of the second elongate member  2504   i  over which each of the respective ones of the number of locations along the respective geodesic  2514  of second elongate member  2504   i  is located. 
     The crossing locations  2546  are best shown in  FIG. 6O  which is a schematic representation of a portion of the second fanned array  2572  that includes second elongate member  2504   i  with various portions of first elongate member  2504   g  crossing second elongate member  2504   i  in the third/expanded or fanned configuration. For clarity, each of elongate members  2504   g  and  2504   i  are shown in a “flattened” state and it is understood that these elongate members include respective arcuate profiles as exemplified in  FIGS. 6K and 6L . Each crossing location  2546  is represented by an “X” in  FIG. 6O . In this illustrated embodiment, the plurality of crossing locations  2546  include a proximal crossing location  2546   a , an intermediate crossing location  2546   b  and a distal crossing location  2546   c . It is understood that each of the crossing locations  2546   a ,  2546   b  and  2546   c  is located on the front surface  2518   a  of the second elongate member  2504   i  and is overlapped by the first elongate member  2504   g  in  FIG. 6O . 
     In this illustrated embodiment, the proximal crossing location  2546   a  is located on the front surface  2518   a  of the second elongate member  2504   i  at least proximate to proximal coupler  2522   a , the intermediate crossing location  2546   b  is located on the front surface  2518   a  of the second elongate member  2504   i  at least proximate to intermediate coupler  2522   b  (i.e., whose location is represented by second opening  2519   b  in  FIG. 6O ) and the distal crossing location  2546   c  is located on the front surface  2518   a  of the second elongate member  2504   i  at least proximate to the distal coupler  2522   c  (i.e., whose location is represented by third opening  2519   c  in  FIG. 6O ). In this example embodiment, a location of the intermediate crossing location  2546   b  along the respective geodesic  2514  of the second elongate member  2504   i  is positioned along the respective length  2511  of the second elongate member  2504   i  between the respective locations of the proximal coupler  2522   a  and the distal coupler  2522   c  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L, and 6M . In this embodiment, a location of the distal crossing location  2546   c  along the respective geodesic  2514  of the second elongate member  2504   i  is positioned along the respective length  2511  of the second elongate member  2504   i  relatively closer to the respective distal end  2505  of the second elongate member  2504   i  than a respective location of each of proximal coupler  2522   a  and intermediate coupler  2522   b  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of  FIGS. 6F, 6K, 6L and 6M . 
     In this example embodiment, the back surface  2518   b  of the respective intermediate portion  2509  of the first elongate member  2504   g  is separated from the front surface  2518   a  of the respective intermediate portion  2509  of second elongate member  2504   i  at each of the crossing locations  2546  along the respective geodesic  2514  of the second elongate member  2504   i  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . In some example embodiments, the back surface  2518   b  of the respective intermediate portion  2509  of a first elongate member  2504  contacts the front surface  2518   a  of the respective intermediate portion  2509  of a second elongate member  2504  at each of at least one of the crossing locations  2546  along the respective geodesic  2514  of the second elongate member  2504  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . As best seen in  FIG. 6M , the respective distal end  2505  (only one called out) of each elongate member  2504  is positioned within the left atrium  2562  at a respective location positioned relatively closer to port  2564   a  than at least one of the crossing locations  2546  (e.g., intermediate crossing locations  2546   b  in this example embodiment) when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . In this example embodiment, at least one or more of the other crossing locations  2546  (i.e., each of proximal crossing location  2546   a  and distal crossing location  2546   c  in this embodiment) are positioned within left atrium  2562  relatively closer to port  2564   a  than the intermediate crossing location  2546   b  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . In this example embodiment, the respective proximal end  2507  (only one called out) of various ones of the elongate members  2504  is positioned within left atrium  2562  at a respective location located relatively closer to port  2564   a  than at least the intermediate crossing location  2546   b  when the portion of the device  2500  is in the third/expanded or fanned configuration shown in each of the  FIGS. 6F, 6K, 6L and 6M . 
     In this embodiment, an actuator (not shown) associated with elongate member manipulator  2550  is employed in the third/expanded configuration to further manipulate various elongate members  2504  to reconfigure the first fanned array  2570  shown in  FIG. 6E  into the second fanned array  2572  shown in  FIG. 6F . In this example embodiment, a suitable tension is applied to the second portion  2541   b  of flexible line  2540   c  in the third/expanded or fanned configuration to further manipulate first fanned array  2570  shown in  FIG. 6E  into the second fanned array  2572  shown in  FIG. 6F . As shown in  FIG. 6M  the tension applied to the second portion  2541   b  of flexible line  2540   c  is sufficient to change the volute shaped profile of each of at least some of the elongate members  2504  in the first fanned array  2570  into a generally more uniform annular or ring-like profile as shown in the second fanned array  2572  of  FIG. 6M . As compared between  FIGS. 6I and 6M , the tension applied to the second portion  2541   b  of flexible line  2540   c  is sufficient to reduce a curvature of the curved portion  2509   a  of each of at least some of the elongate members  2504  along their respective lengths  2511  to manipulate the first fanned array  2570  into the second fanned array  2572 . In this example embodiment, the curvature of at least one portion of an elongate member  2504  that is located between a respective distal end  2505  and a respective location passed through by the first axis  2535  is reduced when a suitable tension is applied to the second portion  2541   b  of flexible line  2540   c . In this example embodiment, the reduction in curvature of the curved portion  2509   a  of each of at least some of the elongate members  2504  advantageously increases the first dimension  2580   a  associated with the first fanned array  2570  shown in  FIG. 6I  to have a larger magnitude as represented by the first dimension  2580   b  associated with the second fanned array  2572  shown in  FIG. 6M . As used herein, the word “curvature” should be understood to mean a measure or amount of curving. In some example embodiments, the word “curvature” is associated with a rate of change of the angle through which the tangent to a curve turns in moving along the curve. 
     In some example embodiments, the first fanned array  2570  includes a second dimension along first axis  2535  (not shown) in the third/expanded or fanned configuration and elongate member manipulator  2550  is employed to reduce the curvature of the curved portion  2509   a  of each of at least some of the elongate members  2504  to increase the second dimension in the third/expanded or fanned configuration. For example, the second dimension may be an overall dimension  2581  of frame  2502  along the first axis  2535  that is increased as the curvature of various ones of the curved portions  2509   a  is reduced. In some example embodiments, the second dimension is a dimension between a first location where the first axis  2535  passes through at least one of the elongate members  2504  and a second location where the first axis  2535  passes through the at least one of the elongate members  2504 . In some example embodiments, the curvature of each of at least some of the curved portions  2509   a  is reduced to concurrently increase the first dimension  2580   a  and the second dimension. 
     As compared between  FIGS. 6I and 6M , a reduction in curvature of each of at least some of the curved portions  2609   a  results in the first axis  2535  passing through an elongate member  2504  at a location spaced relatively closer to the respective distal end  2505  of the elongate member  2504  when the first fanned array  2570  is additionally manipulated into the second fanned array  2572 . 
     As compared between  FIGS. 6N and 6O , tension applied to the second portion  2541   b  of flexible line  2540   c  causes at least one of the locations  2544  along the respective geodesic of the second elongate member  2504   i  that is crossed by the respective geodesic  2514  of the first elongate member  2504   g  in the first fanned array  2570  to be repositioned along the respective geodesic  2514  of the second elongate member  2504   i  to assume a position in the second fanned array  2572  as shown by the corresponding crossing locations  2546 . In various embodiments, at least one of the first elongate member  2504   g  and the second elongate member  2504   i  is repositioned by the elongate member manipulator  2550  (not shown in  FIGS. 6N and 6O ) to cause a least one of the locations  2544  along the respective geodesic of the second elongate member  2504   i  that is crossed by the respective geodesic  2514  of the first elongate member  2504   g  in the first fanned array  2570  to be repositioned along the respective geodesic  2514  of the second elongate member  2504   i  into the second fanned array  2572 . In this illustrated embodiment, the elongate member manipulator  2550  causes the first location  2544   c  along the respective geodesic  2514  of the second elongate member  2504   i  as shown in  FIG. 6N  to be repositioned relatively closer to the respective distal end  2505  of the second elongate member  2504   i  as shown by distal crossing location  2546   c  in  FIG. 6O . In this illustrated embodiment, the respective distal ends  2505  of various ones of elongate members  2504  are spaced apart with respect to one another in the first fanned array  2570  as best shown in  FIG. 6J  by a first end-to-end distance  2585  (only one called out). In this embodiment, elongate member manipulator  2550  is employed to vary a distance between at least some of the distal ends  2505  and at least one of the crossing locations to manipulate the first fanned array  2570  into the second fanned array  2572 . In this embodiment, elongate member manipulator  2550  is employed to reduce an end-to-end distance  2585  between the respective distal ends  2505  of at least some of the elongate members  2504  to manipulate the first fanned array  2570  into the second fanned array  2572 . In this example embodiment, elongate member manipulator  2550  is employed to reduce an end-to-end distance  2585  between the respective distal ends  2505  of at least some of the elongate members  2504  while varying a respective distance between at least one of the crossing locations and each of the distal ends  2505  of the at least some of the elongate members  2504 . It is noted that in some embodiments, the respective distance between the at least one of the crossing locations and each of the distal ends  2505  of the at least some of the elongate members  2504  may be varied by a different amount for each of the at least some of the elongate members while the respective end-to-end distance  2585  is reduced. For example, the respective distance between the at least one crossing location and a first one of the distal ends  2505  may be varied by a first amount and the respective distance between the at least one crossing location and a second one of the distal ends  2505  may be varied by a second amount different than the first amount. In some embodiments, the first and second amounts vary to expand frame  2502  by different amounts in different directions. 
     It is noted that relative movement between the ends need not be limited to the distal ends  2505 . In various example embodiments, relative movement may be provided between at least some of the ends in a first set of the proximal ends  2507  of the elongate members  2504  to reduce an end-to-end distance between the at least some of the ends in the first set while expanding frame  2502  to have a size too large for delivery through the lumen  2506   c  of catheter sheath  2506 . In various example embodiments, relative movement may be provided between at least some of the ends in a second set of the distal ends  2505  of the elongate members  2504  to reduce an end-to-end distance  2585  between the at least some of the ends in the second set while expanding frame  2502  to have a size too large for delivery through the lumen  2506   c  of catheter sheath  2506 . In some of these various embodiments, the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set is provided while restraining relative movement between at least some of the ends in the other of the first set and the second set along at least one direction during the expanding of frame  2502 . In some of these various embodiments, the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set is provided while restraining relative movement between the respective intermediate portions  2509  of at least some of elongate members  2504  during the expanding of frame  2502 . In some of these various embodiments, the relative movement between the at least some of the ends in the first set or between the at least some of the ends in the second set is provided while decreasing a distance between the respective distal end  2505  and the respective proximal end  2507  of each of at least some of the plurality of elongate members  2504  during the expanding of frame  2502 . For example, as compared between  FIGS. 6I and 6M , a distance between the respective distal end  2505  and the respective proximal end  2507  of each of various ones of the elongate members  2504  is reduced as the end-to-end distance  2585  between the distal ends  2505  is reduced. 
     As shown in  FIG. 6M , the second portion  2541   b  of the flexible line  2540   c  is manipulated to more substantially align the respective third openings  2519   c  of the elongate members  2504  in the second fanned array  2572 . In this example embodiment, the second portion  2541   b  of the flexible line  2540   c  is manipulated to more substantially align the respective second openings  2519   b  of the elongate members  2504  in the second fanned array  2572 . It is understood that alignment between the respective third openings  2519   c  and the alignment between the respective second openings  2519   b  in the second fanned array  2572  need not be a collinear one as shown in  FIG. 6M . In embodiments in which the first fanned array  2570  is manipulated to cause the front surfaces  2518   a  of the various elongate members  2504  in the second fanned array  2572  to contact the interior tissue surface  2562   a , variances in a local or global size of the left atrium  2562  may cause varying degrees of alignment between the respective groupings of openings  2519   b ,  2519   c . Flexible line couplings (e.g., flexible lines  2540   b  and  2540   c ) may be employed to advantageously physically couple the elongate members  2504  together while having a reduced sensitivity to misalignments between the respective third openings  2519   c  and the respective second openings  2519   b . Other embodiments may employ other types of couplings. 
     As shown in  FIG. 6M , the respective intermediate portion  2509  of each of the various elongate members  2504  has a generally annular or ring-like profile interrupted by a separation in the third/expanded configuration. The separation may not be present in other embodiments. Device  2500  may further include at least one bridging portion arranged to bridge the separation in some embodiments. A bridging portion can include by way of non-limiting example, a portion of an elongate member  2504 , a portion of a coupler (e.g., first coupler  2522   a ), a portion of shaft member  2510  or a portion of catheter sheath  2506 . 
     In various example embodiments, once frame  2502  is deployed within atrium  2562 , a sensing, investigation or treatment procedure may be undertaken. In this embodiment, each front surface  2518   a  includes, carries or supports a transducer element (i.e., not shown, e.g., transducer element  2490 ) that is positionable adjacent to a tissue surface in the bodily cavity when the first fanned array  2570  is manipulated into the second fanned array  2572 . In this example embodiment, once the second fanned array  2572  has been appropriately positioned at a given location within left atrium  2562 , determination of the locations of various components of device  2500  (e.g., transducer elements including sensors or electrodes, or related support structures such as elongate members  2504 ), or the locations of various anatomical features within left atrium  2562  may be determined by various methods. In this example embodiment, after the portion of the device  2500  has been appropriately positioned at a given location within left atrium  2562 , ablation of various regions of a tissue surface within left atrium  2562  may commence. The portion of the device  2500  may be removed from the left atrium  2652  by reconfiguring the portion of the device  2500  back into the second/bent configuration and then further back into the first/unexpanded configuration. 
       FIG. 7A  is an isometric view of a portion of a device  2600  in an initial configuration according to one example embodiment. Device  2600  includes a structure or frame  2602  that includes an arrangement of elongate members  2604   a ,  2604   b ,  2604   c ,  2604   d ,  2604   e ,  2604   f , and  2604   g , (collectively  2604 ). Various ones of the elongate members  2604  are physically coupled to shaft member  2610  which is employed to transport the elongate members  2604  through a catheter sheath  2606  (shown in  FIGS. 7C, 7D, 7E and 7F ) arranged for delivery through a bodily opening (not shown) leading to a bodily cavity (also not shown). The bodily cavity can include an intra-cardiac cavity by way of non-limiting example. 
       FIG. 7B  is an isometric view of a representative one of the elongate members  2604  in the initial configuration. Each of the elongate members  2604  includes a respective first or distal end  2605  and a respective second or proximal end  2607 . Each elongate member  2604  includes a respective length  2611  (i.e., called out only in  FIGS. 7B and 7G ) between the respective proximal and distal ends  2607 ,  2605  of the elongate member  2604 . In various embodiments, two or more of the elongate members  2604  may have substantially equal lengths  2611  or substantially unequal lengths  2611 . In this example embodiment, a respective portion of each of the elongate members  2604  has a length that is at least approximately equal to or greater than a circumference of a portion of an interior tissue surface of a bodily cavity (not shown) into which the elongate member  2604  is to be positioned at least proximate to when the portion of the device  2600  is in a deployed configuration. The circumference of the portion of the interior tissue surface may have a measured or anticipated value. In a manner similar to other described embodiments, transducer elements  2690  (two called out) are distributed along a surface of each of various ones of the elongate members  2604 . Transducer elements  2690  arranged on a given one of elongate members  2604  may be circumferentially distributed along a region of the interior tissue surface of a bodily cavity (again not shown) over which the given one of the elongate members  2604  is positioned at least proximate to in a deployed configuration. In this example embodiment, each elongate member  2604  includes at least a portion of a flexible circuit structure  2680  (not shown or called out in  FIGS. 7A, 7B, 7C, 7D, 7E and 7F  for clarity) that at least provides an electrically communicative path to various ones of the transducer elements  2690 . 
     Each of the elongate members  2604  includes a set of two opposing major faces or surfaces  2618  denominated as a front surface  2618   a  and a back surface  2618   b . In this example embodiment, the two opposing surfaces  2618  are separated from one another by a thickness  2617  of the elongate member  2604 . In this illustrated example, each elongate member  2604  includes a plurality of various portions  2609  arranged between the respective proximal and distal ends  2607 ,  2605  of the elongate member  2604 . In this example embodiment, the portions  2609  include a first portion  2609   a , a second portion  2609   b  and a third portion  2609   c  positioned between the first and the second portions  2609   a ,  2609   b . In this example embodiment, first portion  2609   a  is positioned relatively closer to proximal end  2607  than to distal end  2605  and second portion  2609   b  is positioned relatively closer to distal end  2605  than to proximal end  2607 . In this example embodiment, the various portions  2609  are combined in a unitary structure. In this example embodiment, each of the portions  2609  includes a pair of side edges including first side edge  2620   a  and second side edge  2620   b  (collectively  2620 ), the side edges of each pair of side edges  2620  are opposed to one another across at least a portion of the length  2611  of the respective elongate member  2604 . In this example embodiment, each pair of side edges  2620  defines a portion or at least some of a periphery of the front surface  2618   a  of the elongate member  2604 . 
     In this example embodiment, a number of the respective portions  2609  of various ones of the elongate members  2604  include various distortions or deformations. In this example embodiment, the words “distortion” or deformation are used interchangeably herein to mean modification in shape away from an elongated strip-like form that prior to any distortion or deformation predominately a body with a relatively small thickness as compared to a length or width, although major faces of the body may not necessarily have smooth planar surfaces. For example, the respective second portion  2609   b  of the representative elongate member  2604  shown in  FIG. 7B  has a coiled profile (e.g., a profile that curves back on itself). In this particular embodiment, the respective second portion  2609   b  includes a volute shaped profile in the initial configuration. Also for example, the respective third portion  2609   c  of the representative elongate member  2604  shown in  FIG. 7B  includes a twisted profile about a respective twist axis  2633  extending across at least a part of the third portion  2609   c  of the elongate member  2604 , the twist in the third portion  2609   c  arranged to rotationally offset (e.g., angularly rotated or twisted out of plane about an axis that may extend generally along a length of the elongate member prior to any distortion of deformation thereof) the respective second portion  2609   b  of the elongate member  2604  from the respective first portion  2609   a  of the elongate member  2604  along a portion of the length  2611  of the elongate member  2604 . In this example embodiment, the respective first portion  2609   a  of the representative elongate member  2604  includes a bent profile about a respective bending axis  2631 . 
     In  FIG. 7A , each of the elongate members  2604  is arranged in an arrangement having an initial configuration in which each elongate member  2604  is provided essentially in its distorted form. In this example embodiment, the initial configuration is representative of an initial or low energy state. In this example embodiment, each elongate member  2604  is a resilient member and further distortion of various portions  2609  of the elongate member  2604  can increase spring or potential energy of the elongate member  2604  and thereby bring it into a higher energy state. 
     As shown in  FIG. 7A , at least the respective second portions  2609   b  of various ones of the elongate members  2604  each has a coiled profile (e.g., a profile that curves back on itself) in the initial or low energy state. In this example embodiment, at least the respective second portions  2609   b  (two called out) of various ones of the elongate members  2604  are fanned into a fanned array in the initial or low energy state. As shown in  FIG. 7A , each of the respective first portions  2609   a  of the elongate members  2604  are arranged front surface  2618   a -toward-back surface  2618   b  with respect to one another in the initial configuration. In this example embodiment, the bent profiles of the respective first portions  2609   a  (one called out) of various ones of the elongate members  2604  are arranged to fan or partially fan at least the respective second portions  2609   b  of various ones of elongate members  2604  into the fanned array in the initial configuration. In this embodiment, various ones of the second portions  2609   b  are fanned along a direction to increase a relative distance between the respective side edges  2620  (two respective sets of edges  2620   a  and  2620   b  called out) of adjacent ones of the second portions  2609   b  in the initial configuration. In this example embodiment, parts of the first portions  2609   a  are also fanned in the initial configuration. In this embodiment, various ones of the first portions  2609   a  are fanned along a direction to increase a relative front surface  2618   a -to-back surface  2618   b  distance between adjacent ones of the first portions  2609   a  in the initial configuration. 
     In some example embodiments, the respective twist axis  2633  ( FIG. 7B ) about which one of the third portions  2609   c  (one called out) is twisted is arranged to rotationally offset a respective second portion  2609   b  from a respective first portion  2609   a  as well as to fan the respective second portion  2609   b  into the fanned array in the initial configuration as exemplified in  FIG. 7A . It is noted however that relatively limited fanning angles  2619  (only one called out in  FIG. 7A ) are typically achieved between a respective pair of the first and the second portions  2609   a ,  2609   b  by positional adjustments of the twist axis  2633 . Fanning angles  2619  generally greater than 45 degrees associated with at least some of the elongate members  2604  (e.g., elongate members  2604   a  and  2604   g ) in  FIG. 7A  may be difficult to achieve solely by a positional adjustment of various ones of the twist axes  2633 . Greater fanning angles  2619  are typically associated with relatively large numbers of elongate members  2604  as shown in  FIG. 7A . It is also noted that when various ones of the third portions  2609   c  are twisted to additionally fan respective second portions  2609   b  into a fanned array as shown in  FIG. 7A , the twisted third portions  2609   c  typically do not nest well together when the various portions  2609  are arranged in an arrayed arrangement suitable for intravascular or percutaneous delivery (e.g., as shown in  FIG. 7C ). Nesting difficulties may arise because each of the respective third portions  2609   c  of various ones of the elongate members  2604  has a different twisted form in accordance with the particular fanning angle that the each of the various ones of the elongate members  2604  must be fanned by. Difficulties with the nesting of the respective third portions  2609   c  typically increase with increased fanning angles  2619 . Nesting difficulties can require larger catheter sheaths to be employed to accommodate a bulkier arrangement of at least the third portions  2609   c  when delivered percutaneously. In some example embodiments, each of the respective second portions  2609   b  of various ones of the elongate members  2604  are fanned in the initial configuration based at least in part by a configuration of the twisted profile of a respective third portion  2609   c  and based at least in part by a configuration of the bent profile of a respective first portion  2609   a.    
     In various example embodiments, various ones of the elongate members  2604  are physically coupled together with at least one other elongate member  2604  by at least one coupler. In this illustrated embodiment, device  2600  includes at least one coupler  2622  arranged to couple at least the respective first portions  2609   a  of the elongate members  2604  together in the initial array. In this example embodiment, coupler  2622  includes a pin member  2622   a  arranged to secure the first portions  2609   a  together. Other forms of couplers may be employed in other example embodiments. For example, in embodiments where various ones of the elongate members  2604  includes a flexible printed structure having a relatively large number of electrically conductive traces, a coupling that couples at least the side edges  2620  of the first portions  2609   a  may be better suited than a pin-type coupling that is arranged to pass through the flexible circuit structures in a manner that possibly imposes undesired space constraints on the placement of the electrically conductive traces. In various example embodiments, additional couplers (e.g., couplers  2522   b ,  2522   c ) may also be employed to couple various other portions  2609  of various ones of the elongate members  2604  together. 
       FIGS. 7C, 7D, 7E, and 7F  are various side elevation views of a portion of the device  2600  positioned at four successive intervals of time as the portion of the device  2600  is selectively reconfigured according to an example embodiment. For clarity, transducer elements  2690  are not shown in  FIGS. 7C, 7D, 7E, and 7F . As shown in  FIG. 7C , the respective first portions  2609   a  (only one called out) of the elongate members  2604  (only one called out) are arranged with respect to one another front surface  2618   a -toward-back surface  2618   b  along a first direction represented by arrow  2616   a  in a first stacked array  2615   a  sized to be delivered through lumen  2506   c  of catheter sheath  2606  that is positionable within a bodily opening (again, not shown) leading to a bodily cavity (also not shown) when a portion of the device  2600  is in a delivery configuration also known as a first or unexpanded configuration. As shown in  FIG. 7C , the respective second portions  2609   b  (only one called out) of the elongate members  2604  are arranged with respect to one another front surface  2618   a -toward-back surface  2618   b  along a second direction as represented by arrow  2616   b  in a second stacked array  2615   b  sized to be delivered through the lumen of catheter sheath  2606  when the portion of the device  2600  is in the delivery configuration. In this example embodiment, the first direction (i.e., arrow  2616   a ) and the second direction (i.e., arrow  2616   b ) are non-parallel directions. In this example embodiment, the elongate members  2604  are arranged within catheter sheath  2606  such that each elongate member  2604  is to be advanced distal end  2605  first into a bodily cavity. In this example embodiment, the elongate members  2604  are arranged within catheter sheath  2606  such that each elongate member  2604  is to be advanced out distal end  2605  first from an end of catheter sheath  2606  arranged to be positioned at least proximate to the bodily cavity. 
     Notably, as used herein and in the claims, the term stacked does not necessarily require the elongate members  2604  rest directly or even indirectly upon one another, but rather refers to an ordered arrangement which may include spaces or gaps between immediately adjacent or most immediate neighboring pairs of elongate members  2604 . It is also noted that while illustrated in  FIG. 7C  as a plurality of substantially parallel stacked plates or strips, the elongate members  2604  are not perfectly rigid so there may be some flex, sag or curvature even when the catheter sheath  2606  is essentially straight. It is further noted that in use, the catheter sheath  2606  will often curve or even twist to follow a bodily lumen. The elongate members  2604  may adopt or conform to such curvatures or twists as the elongate members  2604  are advanced. In either of these situations, the elongate members  2604  maintain the relative positions to one another as a stacked arrangement. 
     In this example embodiment, the respective first, second and third portions  2609   a ,  2609   b  and  2609   c  (only one of each called out) of various ones of the elongate members  2604  in the initial configuration have been stressed into a higher energy state from their initial or low energy state shown in  FIG. 7A . In this example embodiment, the respective second portions  2609   b  of various ones of the elongate members  2604  in the initial configuration (i.e., as shown in  FIG. 7A ) have been stressed into a higher energy state suitable for unbending or uncoiling them sufficiently enough to allow the elongate members  2604  to be delivered through catheter sheath  2606  in the delivery configuration as shown in  FIG. 7C . In this example embodiment, the at least one of the respective first portions  2609   a  and the third portions  2609   c  of each of various ones of the elongate members  2604  (i.e., as shown in  FIG. 7A ) have been stressed into a higher energy state suitable for un-fanning at least the second portions  2609   b  of the elongate members  2604  sufficiently enough to allow the elongate members  2604  to be introduced into, and delivered though catheter sheath  2606 . In this example embodiment, potential energy is imparted to the various elongate members  2604  in the delivery configuration by the higher energy state, the potential energy sufficient to return the arrangement of elongate members  2604  generally back to their initial energy state when released from the confines of catheter sheath  2606 . In some example embodiments, the arrangement of elongate members  2604  is stressed into a higher energy state by retracting the arrangement of elongate members  2604  into catheter sheath  2606  prior to inserting catheter sheath  2606  into a body. In some example embodiments, the arrangement of elongate members  2604  is stressed into a higher energy state by uncoiling the elongate members  2604  and inserting the arrangement of elongate members  2604  into catheter sheath  2606 . In some example embodiments, the arrangement of elongate members  2604  is reconfigured from the initial configuration shown in  FIG. 7A  to the delivery configuration shown in  FIG. 7C  at a point-of-use. In some example embodiments, the arrangement of elongate members  2604  is reconfigured from the initial configuration shown in  FIG. 7A  to the delivery configuration shown in  FIG. 7C  at a place of manufacture, assembly or distribution. In various embodiments, various devices including various guides or manipulators may be employed to reconfigure the arrangement of elongate members  2604  from the initial configuration shown in  FIG. 7A  to the delivery configuration shown in  FIG. 7C . In some of these various embodiments, the devices form part of device  2600 . In some of these various embodiments, the devices are extraneous to device  2600 . Preferably, the higher energy states are controlled to not cause damage to device  2600  or catheter sheath  2606  during delivery therethrough. 
       FIG. 7D  shows a portion of the device  2600  including the plurality of elongate members  2604  positioned in a deployed configuration also referred to as a second or bent configuration. In this example embodiment, the respective second portions  2609   b  (only one called out) of various ones of the elongate members  2604  have cleared the confines of catheter sheath  2606  while other portions  2609  of the elongate members  2604  remain within the confines of catheter sheath  2606 . In this example embodiment, at least the respective second portions  2609   b  of each elongate member  2604  are bent about a respective bending axis  2634  (only one shown) into an arcuate stacked array  2632 . Each bending axis  2634  extends along a direction having a directional component transversely oriented to the respective length  2611  (not called out in  FIG. 7D ) of the elongate member  2604 . In this example embodiment, each of the respective second portions  2609   b  of various ones of the elongate members  2604  in the arcuate stacked array  2632  is coiled about a respective bending axis  2634  into a coiled stacked array. In this example embodiment, each respective second portion  2609   b  is bent to have a scrolled or volute shaped profile. In this example embodiment, each second portion  2609   b  is bent to have a curvature that varies at least once along the respective length  2611  of the elongate member  2604 . When positioned in the second/bent configuration, a first portion  2621   a  of the front surface  2618   a  (only one called out) of the respective second portion  2609   b  of each elongate member  2604  is positioned diametrically opposite to a second portion  2621   b  of the front surface  2618   a  in the volute shaped frame  2602 . When positioned in the second/bent configuration, the coiled arrangement of elongate members  2604  is sized or dimensioned too large for delivery through a lumen of catheter sheath  2606 . 
     In this illustrated embodiment, the respective second portions  2609   b  of various ones of the elongate members  2604  have been preformed to autonomously bend when the second portions  2609   b  are advanced out of catheter sheath  2606 . As the respective second portions  2609   b  are advanced from the confines of catheter sheath  2606 , they are urged or biased to seek their low energy state (i.e., their initial coiled configuration). In this example embodiment, the respective distal ends  2605  of various ones of the elongate members  2604  moves along a coiled path (e.g., a path that curves back on itself) when the portion of the device  2600  is moved between the first/unexpanded configuration and the second/bent configuration. In this example embodiment, the coiled path makes at least one full turn. In some embodiments, at least part of the coiled path may extend along a volute path. 
     In this embodiment, the respective second portions  2609   b  of various ones of the elongate members  2604  are preformed to autonomously coil as they are advanced into a bodily cavity (not shown) in a manner that may advantageously reduce physical interactions between elongate members  2604  and an interior tissue surface within the bodily cavity. In a manner similar to the elongate members  2504  shown in  FIG. 6D , the respective distal ends  2605  (only one called out) of the elongate members  2604  are arranged to continuously bend or curl away from an interior tissue surface within a bodily cavity (not shown) into which they are introduced. A reduction of contact and other physical interaction with an interior tissue surface within a bodily cavity can reduce occurrences of, or the severity of, damage inflicted to various tissue structures during the positioning. In various embodiments, the arcuate stacked array  2632  is arranged to have a predetermined size that will allow the arcuate stacked array  2632  to be positioned within a bodily cavity with at most relatively minor amounts of contact with an interior tissue surface within the bodily cavity. 
       FIG. 7E  shows the portion of the device  2600  in deployed configuration also referred to as a third or expanded configuration. In this illustrated embodiment, the elongate members  2604  were moved from the second/bent configuration shown in  FIG. 7D  to the third/expanded configuration shown in  FIG. 7E . In this example embodiment, the portion of the device  2600  is further advanced through catheter sheath  2606  so that at least the respective third portions  2609   c  (only one called out) of various ones of the elongate members  2604  are clear of the confines of catheter sheath  2606 . In this example embodiment, the portion of the device  2600  is further advanced through catheter sheath  2606  so that at least the respective first portions  2609   a  (only one called out) of various ones of the elongate members  2604  are clear of the confines of catheter sheath  2606 . As shown in  FIG. 7E , the respective second portions  2609   b  (only one called out) of various ones of the elongate members  2604  are spaced apart from one another in the third/expanded configuration. In this illustrated embodiment, at least the respective second portions  2609   b  of various ones of the elongate members  2604  are angularly spaced with respect to one another about an axis when the portion of the device  2600  is in the third/expanded configuration. In this illustrated embodiment, at least the respective second portions  2609   b  of at least some of the elongate members  2604  are fanned with respect to one another about one or more fanning axes  2635  into a first fanned array  2670  when the portion of the device  2600  is in the third/expanded configuration. As shown in  FIG. 7E , in this example embodiment the one or more fanning axes  2635  are arranged to pass through a plurality of spaced apart locations along the respective length  2611  (not called out) of each of the at least some of the elongate members  2604  when the portion of the device  2600  is in the third/expanded or fanned configuration. In this example embodiment, the one or more fanning axes  2635  are shown as a single axis (i.e., also referred to as fanning axis  2635 ) for clarity. It is understood that one or more axes  2635  can include two or more axes in various embodiments. In this illustrated embodiment, each of the at least some of the plurality of elongate members  2604  includes a curved portion arranged to extend along at least a portion of a respective curved path that intersects fanning axis  2635  at each of a respective at least two spaced apart locations along fanning axis  2635  in the third/expanded or fanned configuration. 
     In this example embodiment, the respective first portions  2609   a  of various ones of the elongate members  2604  have been preformed to autonomously bend when the first portions  2609   a  are advanced out of catheter sheath  2606 . As the respective first portions  2609   a  are advanced from the confines of catheter sheath  2606 , stored potential energy is released and the first portions  2609   a  are urged or biased to assume a lower energy state (i.e., similar to their initial configuration shown in  FIG. 7A ) and cause at least the respective second portions  2609   b  of various ones of the elongate members  2604  to autonomously fan at least in part, with respect to one another into the third/expanded or fanned configuration. In some example embodiments, as the respective third portions  2609   c  are advanced from the confines of catheter sheath  2606 , stored potential energy is released and the respective third portions  2609   c  are urged or biased into a lower energy state to cause at least the respective second portions  2609   b  of various ones of the elongate members  2604  to autonomously fan, at least in part, with respect to one another into the third/expanded or fanned configuration. In some example embodiments, as both the respective third portions  2609   c  and the respective first portions  2609   a  of various ones of the elongate members  2604  are advanced from the confines of catheter sheath  2606 , stored potential energy is released and the respective first and third portions  2609   a ,  2609   c  are urged or biased into respective lower energy states to cause at least the respective second portions  2609   b  of various ones of the elongate members  2604  to autonomously fan at least in part, with respect to one another into the third/expanded or fanned configuration. 
     In some example embodiments, additional fanning mechanisms (not shown) may be employed to assist in the fanning of, or to promote an additional fanning of, various ones of the elongate members  2604  as the elongate members  2604  are moved into the third/expanded or fanned configuration. In some example embodiments, various separators similar to previously described separators  1452  and  1752  may be employed to further fan, or to assist in the fanning of, at least some of the elongate members  2604 . In this example embodiment, the elongate members  2604  are fanned in a different manner than previously described elongate members  2504 . In this example embodiment a first set made up elongate members  2604   a ,  2604   b , and  2604   c  are fanned along an opposite direction from a second set made up of elongate members  2604   e ,  2604   f  and  2604   g . Unlike the described embodiment employing elongate members  2504 , the elongate members  2604  in the first set of elongate members  2604  are not interleaved with the elongate members  2604  in the second set of elongate members  2604  in this example embodiment. 
       FIG. 7E  shows that various parts of the respective second portions  2609   b  of various ones of the elongate members  2604  cross one another at various crossing locations in the third/expanded configuration in a manner similar to that previously described for the elongate members  2504  shown in their respective third/expanded or fanned configurations in  FIGS. 6E, 6G, 6H and 6I . In this example embodiment at least a first one of the plurality of elongate members  2604  crosses a second one of the plurality of elongate members  2604  in an X configuration at each of a plurality of locations spaced from one another along the respective length  2611  of the second one of the plurality of elongate members  2604  when a portion of device  2600  is moved into the third/expanded or fanned configuration. In this example embodiment, additional manipulation of a portion of device  2600  including elongate members  2604  may be initiated when the portion of the device  2600  is moved into the third/expanded configuration. Typically, when the elongate members  2604  are arranged within a bodily cavity in the third/expanded or fanned configuration, the arrangement of the elongate members  2604  is preferably sized sufficiently small enough to reduce occurrences where damage may be inflicted to the tissue surfaces within the bodily cavity by the arrangement of elongate members  2604 . As shown in  FIG. 7E , first portions  2621   a  (only one called out) and the second portions  2621   b  (only one called out) of the respective front surface  2618   a  (only one called out) of each of at least some of the elongate members  2604  in the first fanned array  2670  are angularly arranged about fanning axis  2635  when the portion of the device  2600  is in the third/expanded configuration. In this illustrated embodiment, at least some of the elongate members  2604  are further manipulated in the third/expanded or fanned configuration to vary a radial spacing between fanning axis  2635  and at least one of the first portion  2621   a  and the second portion  2621   b  of the respective front surface  2618   a  of each of various ones of the elongate members  2604 . In this embodiment, frame  2602  includes a proximal portion  2602   a  having a first domed shape  2608   a  and a distal portion  2602   b  having a second domed shape  2508   b , the proximal and distal portions  2602   a ,  2602   b  arranged in a clam shell configuration. 
     In  FIG. 7F , at least some of the elongate members  2604  are further manipulated in the third/expanded configuration to form a second fanned array  2672 . In this example embodiment, at least some of the elongate members  2604  are further manipulated to increase a radial spacing between fanning axis  2635  and at least one of the first portion  2621   a  (only one called out) and the second portion  2621   b  (only one called out) of the respective front surface  2618   a  (only one called out) of each of various ones of the elongate members  2604 . In some example embodiments, at least some of the elongate members  2604  are further manipulated to distort at least one of the first and the second domed shapes  2608   a ,  2608   b  of a respective one of the proximal and the distal portion  2602   a ,  2602   b  of frame  2602 . Further manipulation of the at least some of the elongate members  2604  may be motivated for various reasons. For example, the at least some of the elongate members  2604  may be further manipulated to create a conformance with a tissue surface with a bodily cavity (not shown in  FIGS. 7C, 7D, 7E and 7F ) when the portion of the device  2600  is moved into the third/expanded or fanned configuration. In some example embodiments, the at least some of the elongate members  2604  may be further manipulated to position various transducer elements  2690  (again not shown in  FIGS. 7C, 7D, 7E and 7F ) relatively closer to an interior tissue surface within a bodily cavity. 
     In this example embodiment, an end portion of shaft member  2610  is physically coupled or connected to frame  2602  at one or more locations on frame  2602 , each of the one or more locations on the structure to which the end portion is coupled positioned to one side of at least one spatial plane (not shown) that is coincident with fanning axis  2635 . In this example embodiment, shaft member  2610  and frame  2602  have a projected outline in the shape of the Greek letter rho (ρ) in the third/expanded or fanned configuration, as indicated above. 
     In this example embodiment, various ones of the elongate members  2604  cross at least one other of the elongate members  2604  at various crossing locations when the portion of the device  2600  is in the third/expanded or fanned configuration shown  FIG. 7E . In this example embodiment, a number of the elongate members  2604  are additionally manipulated to vary at least one of the crossing locations to arrange the elongate members  2604  in the second fanned array  2672  shown in  FIG. 7F . In some example embodiments, an elongate member manipulator (e.g., elongate member manipulator  2550 ) is employed to further manipulate the various elongate members  2604  to reconfigure the first fanned array  2670  shown in  FIG. 7E  into the second fanned array  2672  shown in  FIG. 7F  in the third/expanded or fanned configuration. It is noted that if a flexible line similar to the flexible line  2540   c  of elongate member manipulator  2550  is employed to further manipulate the first fanned array  2670  shown in  FIG. 7E  into the second fanned array  2672  shown in  FIG. 7F , the flexible line may be arranged to follow a path less tortuous than the zig-zag path that the flexible line  2540   c  follows in  FIG. 6J . A less tortuous path may be achieved at least in part because the elongate members  2604  in the first set of elongate members  2604  are not interleaved with the elongate members  2604  in the second set of elongate members  2604  in this example embodiment. 
     Other techniques may be employed to additionally manipulate or expand a structure of elongate members (e.g., frame  2602 ) in the deployed configuration. For example,  FIGS. 9A and 9B  respectively show an isometric view and a partially sectioned plan view of a portion of a device  2800  according to one example embodiment in a deployed configuration also known as third or expanded configuration similar to that employed by device  2600  in  FIG. 7E . Device  2800  includes a structure or frame  2802  physically coupled to a shaft member  2810 . Frame  2802  includes a plurality of elongate members  2804  that include elongate members  2804   a ,  2804   b ,  2804   c ,  2804   d ,  2804   e ,  2804   f  and  2804   g . In this embodiment, each of the elongate members  2804  includes a distal end  2805 , a twisted portion  2809   c  and a bent portion  2809   a  positioned proximate to shaft member  2810 . Each of the elongate members  2804  includes a front surface  2818   a  that is positionable to face an interior tissue surface within a bodily cavity (not shown) and a back surface  2818   b  opposite the front surface  2818   a . In some embodiments, each of the elongate members  2804  is arranged front surface  2818   a -toward-back surface  2818   b  in a stacked array during a delivery configuration similar to that employed by other described embodiments. In this embodiment, each of the elongate members  2804  is arranged in a first fanned array  2870  that is similar to the first fanned array  2670  of elongate members  2604  shown in  FIG. 7E . In this example embodiment, each elongate member  2804  includes a respective slot  2820 . As best seen in the partially sectioned plan view of  FIG. 9B , the slots  2820  of various ones of the elongate members  2804  cross one another at a crossing location  2825  in the first fanned array  2870 . In some embodiments each of at least some of the slots  2820  are positioned to one side of a midline or centerline of a respective one of the elongate members  2804 . 
       FIGS. 9C and 9D  respectively show an isometric view and a partially sectioned plan view of a portion of device  2800  which has been additionally manipulated from the first fanned array  2870  shown in  FIGS. 9A, 9B  to form a second fanned array  2872 . As compared between  FIGS. 9B and 9D , a change in the positioning where various ones of the slots  2820  cross one another accompanies a manipulation between the first fanned array  2870  and the second fanned array  2872 . In this example embodiment, a movement of the respective distal ends  2805  of the elongate members  2804  generally along a direction toward crossing location  2825  accompanies a movement between the first fanned array  2870  and the second fanned array  2872 . In this example embodiment, the respective distal ends  2805  of the elongate members  2804  are moved generally along a radial direction toward crossing location  2825 . In this example embodiment, at least one flexible line  2821  (shown and called out only in  FIGS. 9B and 9D  for clarity) is employed to further manipulate between the first fanned array  2870  shown in  FIGS. 9A, 9B  and the second fanned array  2872  shown in  FIGS. 9C, 9D . In this example embodiment, at least one flexible line  2821  is sized for passage through holes  2812  in various ones of the elongate members  2804 . As compared with the embodiment shown in  FIG. 6J , flexible line  2821  follows a less tortuous path than the flexible line  2540   c  of elongate member manipulator  2550 . In various example embodiments, various ones of the elongate members  2804  may be physically coupled together by one or more coupling members (not shown for clarity) arranged to be slidably received in respective slots  2820  of the various ones of the elongate members  2804 . In some embodiments, the one or more coupling members may include a relatively rigid member while in other embodiments, the one or more coupling members may include a relatively flexible member. In some example embodiments, the one or more coupling members may be employed to assist in establishing generally radial movement of various portions of the elongate members  2804  towards crossing location  2825 . In some example embodiments, one or more flexible lines are sized and arranged to be received in the respective slots  2820  of various ones of the elongate members  2804 . 
     As shown in  FIGS. 9A and 9C , frame  2802  includes a proximal portion  2802   a  having a first domed shape  2808   a  and a distal portion  2802   b  having a second domed shape  2808   b . In this example embodiment, the proximal and the distal portions  2802   a ,  2802   b  are arranged in a clam shell configuration in the third/expanded configuration. In this example embodiment, frame  2802  is additionally manipulated to distort a respective one of the first domed shape  2808   a  and the second domed shape  2808   b  to accompany a movement between the first fanned array  2870  and the second fanned array  2872 . In this example embodiment, various ones of the slots  2820  have different longitudinal dimensions. In some example embodiments, various ones of the slots  2804  are sized differently to vary amounts of movement between various portions of respective elongate member  2804  during the manipulating. In some example embodiments, each of various ones of the slots  2804  is sized to vary amounts of distortion imparted to their respective elongate members  2804  during the manipulating. In this embodiment, the slots  2820  have been selectively sized to distort distal portion  2802   b  to have a more prolate second domed shape  2808   b  than the first domed shape  2808   a  of the proximal portion  2802   a  during the manipulating. 
     In this example embodiment, various ones of the elongate members  2804  are physically coupled together by coupling members  2858  (two called out in each of  FIGS. 9A, 9B, 9C and 9D ). In various example embodiments, each coupling member  2858  may allow movement of one of the elongate members  2804  coupled by the coupling member  2858  to also cause movement of another of the elongate members  2804  coupled by the coupling member  2858 . In some example embodiments, the coupling members  2858  are arranged to restrict or limit an amount of movement that an elongate member  2804  undergoes as the portion of the device is moved into the third/expanded configuration. In this example embodiment, coupling members  2858  are positioned to extend across the back surfaces  2818   b  of the elongate members  2804  in the third/deployed configuration. In this embodiment, two quasi-circumferential arrangements of coupling members  2858  are provided. Different arrangements of coupling members  2858  may be employed in other embodiments. 
     In this embodiment, device  2800  includes separator  2852  arranged to manipulate various ones of the elongate members  2804 . In this embodiment, separator  2852  includes a first flexible line  2853   a  and a second flexible line  2853   b  (collectively flexible lines  2853 ). In this example embodiment, each of the flexible lines  2853  is physically coupled to elongate member  2804   g . Each of the flexible lines  2853  is sized to be slidably received in a lumen of a respective one of tubular members  2854   a  and  2854   b  (collectively tubular members  2854 ). Tubular member  2854   b  is not shown in each of  FIGS. 9A and 9C . Tubular members  2854  are physically coupled to elongate member  2804   a  at respective spaced apart locations along a length of elongate member  2804   a.    
     In this example embodiment, the flexible lines  2853  may be manipulated to move a portion of device  2800  into the third/expanded or fanned configuration. For example, flexible lines  2853  may be manipulated to move device  2800  from a second/bent configuration (e.g., similar to that shown by device  2600  in  FIG. 7D ) into the third/expanded or fanned configuration. In this example embodiment, the flexible lines  2853  may be manipulated to fan at least some of the elongate members  2804 . In this example embodiment, the flexible lines  2853  may be manipulated to further fan at least some of the elongate members  2804  which have been initially fanned under an influence of a biasing action provided by one or more portions (e.g., the twisted portion  2809   c  or the bent portion  2809   a , or both) of each of various ones of the at least some of the elongate members  2804 . In some embodiments, the flexible lines  2853  are manipulated to vary a distance between the proximal and the distal portions  2802   a ,  2802   b  in the third/expanded configuration. In some embodiments, the flexible lines  2853  may be manipulated to vary a distance between adjacent elongate members (e.g., elongate members  2804   a ,  2804   g ) in the third/expanded configuration. In some embodiments, the flexible lines  2853  are manipulated to distort at least one of the first domed shape  2808   a  and the second domed shape  2808   b . For example, when the portion of device  2800  is moved into the second fanned array  2872 , flexible line  2853  may be manipulated to reduce a deviation in a shape of frame  2802  (e.g., a “radial step” between elongate members  2804   a ,  2804   g  as compared between  FIGS. 9B and 9D ). Reducing deviations in the shape of frame  2802  may be motivated by various reasons including providing a more uniform distribution in an arrangement of transducers (not shown) that may be carried by the device  2800 . In various example embodiments, manipulation of the flexible lines  2853  may include relatively sliding the flexible lines  2853  within their respective tubular members  2854 . In some example embodiments, manipulation of the flexible lines  2853  includes tensioning the flexible lines  2853 . Other numbers of flexible lines  2853  may be employed in other embodiments. 
     Various embodiments in this disclosure include various systems or devices that are each selectively movable from an unexpanded or delivery configuration in which a portion of the device is suitably sized for percutaneous delivery to a bodily cavity and an expanded or deployed configuration in which the portion of the device or system is sized too large for percutaneous delivery to the bodily cavity. In some embodiments, additional positioning (e.g., repositioning) of a system or device that is selectively moved from an unexpanded configuration to an expanded configuration occurs after the system or device has been moved into the expanded configuration and or while the system or device is the expanded configuration. For example, a portion of a medical system or device  2900  is shown in an unexpanded configuration in  FIG. 10A  and in an expanded configuration in  FIG. 10B  according to various embodiments. System or device  2900  includes a frame or structure  2902  that includes a plurality of elongate members  2904 . Each of the elongate members  2904  includes a proximal end  2907 , a distal end  2905  and a respective intermediate portion  2909  between the proximal end  2907  and the distal end  2905 . Each of the elongate members  2904  includes a front surface  2918   a  (i.e., called out in  FIG. 10B ) that is positionable to face an interior surface of a bodily cavity (not shown) into which the structure  2902  may be deployed. Each of the elongate members  2904  includes a back surface  2918   b  (i.e., called out in  FIG. 10B ) opposite the corresponding front surface  2918   a  across a thickness of the elongate member  2904 . 
     In various embodiments, a set of one or more transducer elements  2990  is located on each of at least some of the elongate members  2904 . As in other embodiments described in this disclosure, each transducer element  2990  may include an electrode by way of non-limiting example. In various embodiments, a transducer element  2990 , or a component thereof may be located on (a) the front surface  2918   a , (b) the back surface  2918   b , or both (a) and (b) of a corresponding elongate member  2904 . For example, an electrode may be located on one, or both of the front surface  2918   a  and back surface  2918   b  of a given elongate member  2904  in some embodiments. In various embodiments, energy may be selectively transmittable from an electrode. In some of these various embodiments, the energy is sufficient for tissue ablation. In some of the various embodiments, the energy is insufficient for tissue ablation. 
     In  FIG. 10A , the structure  2902  is in an unexpanded configuration suitably sized for delivery through catheter sheath  2906  (i.e., showed sectioned), for example for percutaneous delivery. The structure  2902  is physically coupled to a shaft member  2910  which is appropriately sized to convey structure  2902  through catheter sheath  2906  during the delivery. In some embodiments, shaft member  2910  is typically sufficiently flexible to allow for percutaneous delivery of structure  2902  through a tortuous path. Percutaneous delivery typically includes moving or otherwise conveying a structure (e.g., structure  2902 ) through a bodily opening leading to a bodily cavity. In various embodiments, shaft member  2910  includes a first end portion  2910   a  and a second end portion  2910   b  spaced from the first end portion  2910   a  across an elongated portion  2910   c  of the shaft member  2910 . In  FIGS. 10A and 10B , structure  2902  is physically coupled to the shaft member  2910  at least proximate the second end portion  2910   b  of the shaft member  2910 . 
     In some embodiments, a handle portion  2903  is physically coupled to the shaft member  2910  at a location at least proximate the first end portion of  2910   a  of shaft member  2910 . In various embodiments, handle portion  2903  is directly manipulable by a user to percutaneously deliver structure  2902  to a bodily cavity when structure  2902  is in the unexpanded configuration. In some example embodiments, at least a portion of the shaft member  2910  is directly manipulable by a user to percutaneously deliver structure  2902  to a bodily cavity. For example, the directly manipulable portion of shaft member  2910  may include at least part of the elongated portion  2910   c  of the shaft member  2910 . The phrase “directly manipulable” and variants thereof (e.g., directly manipulated) employed herein in this disclosure may include grasping, gripping, or other similar handling performed directly on a particular entity (e.g., handle portion  2903 , elongated portion  2910   c ) by a user or operator (for example, by a hand of a user or operator). 
     In some embodiments, a surface of shaft member  2910  contacts a lumen of catheter sheath  2906  when structure  2902  is percutaneously delivered through catheter sheath  2906 . In various example embodiments, each elongate member  2904  is arranged in structure  2902  to be advanced distal end  2905  first into a bodily cavity (not shown). 
     In  FIG. 10B , structure  2902  is positioned in an expanded configuration. Shaft member  2910  is shown partially sectioned in  FIG. 10B  for clarity of illustration of various components. For clarity, catheter sheath  2906  is not shown. 
     In various embodiments, each of the respective intermediate portions  2909  of the plurality of elongate members  2904  is radially or angularly arranged with respect to one another at least partially about or around a first axis  2935  when the structure  2902  is in the expanded or deployed configuration. That is, each of the intermediate portions  2909  is radially or angularly distributed at least partially about or around the first axis  2935  (i.e., when looking along a direction that the first axis  2935  extends along), for instance like lines of longitude about a rotational or polar axis. In various embodiments, each of the respective intermediate portions  2909  of the elongate members  2904  is radially spaced from the first axis  2935  when structure  2902  is in the expanded configuration. In various embodiments, the intermediate portions  2909  may be circumferentially arranged about the first axis  2935  when the structure  2902  is in the expanded configuration. 
     In some embodiments, each of the elongate members  2904  includes a curved portion  2923  (only two called out) having a curvature configured to cause the curved portion  2923  to extend along at least a portion of a curved path, the curvature configured to cause the curved path to intersect the first axis  2935  at each of a respective at least two spaced apart locations along the first axis  2935  when structure  2902  is in the expanded configuration. In some embodiments, the curved path is defined to include an imagined extension of the curved portion along the curved portion&#39;s extension direction while maintaining the curved portion&#39;s curvature (e.g., radius of curvature or change in radius of curvature). In some embodiments, each curved portion  2923  may extend entirely along, or at least part way along the respective curved path to physically intersect at least one of the respective at least two spaced apart locations along the first axis  2935 . In some particular embodiments, no physical portion of a given elongate member of an employed structure intersects any of the at least two spaced apart locations along the first axis intersected by the respective curved path associated with the curved portion of the given elongate member. For example, the end portion of the given elongate member  2904  may be physically separated from the first axis  2935  by a hub device (e.g., hub  2965 ) employed to physically couple or align the given elongate member  2904  to another elongate member  2904 . Additionally or alternatively, a given elongate member  2904  may include a recurve portion arranged to physically separate the given elongate member  2904  from the first axis  2935 . In some embodiments, various ones of the elongate members  2904  cross one another at a location on the structure  2902  passed through by the first axis  2935  when the structure  2902  is in the expanded configuration. In various embodiments, the curved path is an arcuate path. In various embodiments, at least the portion of the curved path extended along by corresponding curved portion  2923  is arcuate. 
     In some embodiments, each of the elongate members  2904  is a resilient member that stores potential or spring energy when confined in a confining structure (e.g., catheter sheath  2906 ) in the unexpanded configuration. Upon being advanced from the confining structure, at least some of the potential or spring energy is released to cause the structure  2904  to assume a lower energy state defined by the expanded configuration. In  FIG. 10B , each of at least some of the elongate members  2904  is physically coupled to control member  2960   a  of an expansion control actuator  2960 , a portion of which may, in some embodiments, extend along a path through shaft member  2910  or catheter sheath  2906 . In some embodiments, the expansion control actuator  2960  is located on handle portion  2903 . In some embodiments, the expansion control actuator  2960  is operable to impart force (e.g., tensile force) to control member  2960   a  sufficient to cause the intermediate portions  2909  of various ones of the elongate members  2904  to buckle outwardly from the first axis  2935  to move structure  2902  into the expanded configuration. In various embodiments, control member  2960   a  can include a flexible control line/wire/cable, a control rod or other force transmission members by way of non-limiting example. In some embodiments, the respective distal end  2905  of each of at least some of the elongate members  2904  is physically coupled (i.e., directly or indirectly) to control member  2960   a . In some embodiments, the control member  2960   a  is physically coupled (i.e., directly or indirectly) to each of various ones of the elongate members  2904  at a location between the respective proximal and distal ends  2907 ,  2905  of each of the various ones of the elongate members  2904 . For example, a single elongate member  2904  may form two diametrically opposed portions of the structure  2902 , with the control member  2960   a  physically coupled (i.e., directly or indirectly) at a location on the elongate member  2904  between the two diametrically opposed portions. Other embodiments may employ other mechanisms or modes of operation for moving a structure (e.g., structure  2902 ) from an unexpanded configuration to an expanded configuration. 
     In various embodiments, structure  2902  is rotationally coupled to the second end portion  2910   b  of the shaft member  2910 . In  FIG. 10B , each of the elongate members  2904  is physically coupled to a hub  2965  (shown partially sectioned), the hub  2965  rotationally coupled to the second end portion  2910  of shaft member  2910 . In some embodiments, the respective proximal end  2907  of each of the elongate members  2904  is directly coupled to hub  2965 . In various embodiments, the structure  2902  is operably coupled to at least one actuator, the at least one actuator selectively operable to rotate the intermediate portion  2909  of each of at least some of the plurality of elongate members  2904  at least partially about or around the first axis  2935  when or while structure  2902  is in the expanded configuration. In various embodiments, the structure  2902  is operably coupled to at least one actuator, the at least one actuator selectively operable to concurrently rotate the intermediate portions  2909  of all of the plurality of elongate members  2904  about the first axis  2935  when or while structure  2902  is in the expanded configuration. In various embodiments, the intermediate portion  2909  of each of at least some of the plurality of elongate members is moved with respect to, or relatively to, at least the second end portion  2910   b  of the shaft member  2910  by the at least one actuator when or while the structure is in the expanded configuration. In various embodiments, the intermediate portions  2909  of all of the plurality of elongate members are moved with respect to, or relatively to, at least the second end portion  2910   b  of the shaft member  2910  by the at least one actuator when or while the structure is in the expanded configuration. For example, in  FIG. 10B , hub  2965  is physically coupled to a control member  2970   a  (shown sectioned) of at least one actuator that includes a rotation actuator  2970 , a portion of which may, in some embodiments, extend along a path through shaft member  2910  or catheter sheath  2906  (again not shown in  FIG. 10B ). In some embodiments, the rotation actuator  2970  is located on handle portion  2903 . In various embodiments, the rotation actuator  2970  is operable to manipulate control member  2970   a  to cause the intermediate portions  2909  of all of the plurality of elongate members  2904  to concurrently rotate about the first axis  2935  and move with respect to, or relatively to, at least the second end portion  2910   b  of the shaft member  2910 . In some embodiments, the rotation actuator  2970  is operable to impart rotational movement (e.g., movement associated with an applied torque) to control member  2970   a  sufficient to cause the intermediate portions  2909  of all of the plurality of elongate members  2904  to rotate concurrently about the first axis  2935  and move with respect to, or relatively to, at least the second end portion  2910   b  of the shaft member  2910 . In various embodiments, the intermediate portions  2909  of all of the plurality of elongate members  2904  are configured to concurrently move with respect to, or relatively to, the second end portion  2910   b  of the shaft member  2910  and to concurrently rotate about the first axis  2935 . In various embodiments, the intermediate portions  2909  of all of the plurality of elongate members  2904  are configured to concurrently move throughout the duration of their movement with respect to, or relative to, the second end portion  2910   b  of the shaft member  2910  and throughout the duration of their rotation about the first axis  2935 . In various embodiments, the intermediate portions  2909  of all of the plurality of elongate members  2904  are configured to concurrently move throughout only a portion of the duration of their movement with respect to, or relatively to, the second end portion  2910   b  of the shaft member  2910  and throughout only a portion of the duration of their rotation about the first axis  2935 . Thus, as used herein and in the claims, the terms concurrently, and similar terms (e.g., current), means at least partially overlapping in time, even if not starting and ending at the same time. 
     Rotation of various ones and sometimes all of the intermediate portions  2909  of the elongate members  2904  about the first axis  2935  when or while structure  2902  is in the expanded configuration may be motivated by various reasons. For example in some embodiments when structure  2902  is deployed in the expanded configuration in a bodily cavity, various ones of the transducer elements  2990  may not be able to effectively interact with bodily tissue in the cavity, and an additional rotation of a portion of the structure  2902  on which the transducer elements  2990  are located may be required to increase the effectiveness of the interaction of with the bodily tissue. In  FIG. 10B , the respective transducer elements  2990   a  and  2990   b  of a first adjacent pair of transducers  2990  are circumferentially spaced with respect to each other (i.e., about first axis  2935 ) by a greater amount than a circumferential spacing between the respective transducer elements  2990   c  and  2990   d  of a second pair of transducer elements  2990 . In  FIG. 10B , each of transducer elements  2990   a  and  2990   b  are radially spaced from first axis  2935  by a greater radial distance than each of the transducer elements  2990   c  and  2990   d . In some embodiments, a circumferential distance between an adjacent pair of transducer elements (e.g., various transducer elements  2990 ) may be too large to effectively ablate tissue between the two transducer elements of the adjacent pair, thereby necessitating an additional rotation in accordance with various embodiments. For example, a rotation of a portion of structure  2902  may occur after at least the two transducer elements  2990   a  and  2990   b  are activated to ablate respective tissue regions, the rotation sufficient to position one of the transducer elements  2990   a  and  2990   b  to ablate a tissue region between the two previously ablated tissue regions. In various embodiments, the rotation of the portion of the structure  2902  about first axis  2935  when or while the structure  2902  is in the expanded configuration rotates all the transducer elements  2990  about first axis  2935 . In various embodiments, the rotation of the portion of the structure  2902  about first axis  2935  when or while the structure  2902  is in the expanded configuration rotates the intermediate portions  2909  of all of the plurality of elongate members  2904  about first axis  2935 . The intermediate portions  2909  of all of the plurality of elongate members  2904  may be controlled to rotate about the first axis  2935  by other angular amounts in various other embodiments. 
     In  FIG. 10B , control member  2960   a  is arranged in a lumen provided in control member  2970   a . In various embodiments, control member  2970   a  is arranged in a lumen provided in control member  2960   a . In some embodiments control member  2960   a  may be arranged to transmit an axially compressive force to move structure  2902  from the unexpanded configuration to the expanded configuration. For example, an axially compressive force may be applied to buckle the intermediate portions  2909  of at least some of the elongate members  2904  as structure  2902  is moved from the unexpanded configuration to the expanded configuration. In some embodiments, control member  2960   a  is arranged to concurrently rotate as the intermediate portion  2909  of each of at least some or all of the plurality of elongate members  2904  is rotated about the first axis  2935  by rotation actuator  2970 . In other embodiments, control member  2960   a  is arranged to not concurrently rotate as the intermediate portion  2909  of each of at least some or all of the plurality of elongate members  2904  is rotated about the first axis  2935  by rotation actuator  2970 . In some embodiments, control member  2970   a  is physically coupled (i.e., directly or indirectly) to the respective proximal end  2907 , the respective distal end  2905 , or each of the respective proximal and distal ends  2907 ,  2905  of each of at least some of the elongate members  2904 . In various embodiments, rotation of the intermediate portion  2909  of each of at least some or all of the elongate members  2904  by rotation actuator  2970  when or while structure  2902  is in the expanded configuration is accompanied by a concurrent rotation of each of the corresponding respective proximal and distal ends  2907  and  2905 . In various embodiments, rotation of the intermediate portion  2909  of each of at least some or all the elongate members  2904  by rotation actuator  2970  when or while structure  2902  is in the expanded configuration is accompanied by a concurrent rotation of one, but not both, of the respective proximal and distal ends  2907  and  2905 . In some of these various embodiments, various ones of the elongate members  2904  assume a helical form around first axis  2935  when the intermediate portion  2909  of each of at least some or all the elongate members  2904  is rotated about the first axis  2935  by rotation actuator  2970  when or while structure  2902  is in the expanded configuration. In some embodiments, rotation of the intermediate portion  2909  of each of at least some or all the elongate members  2904  by rotation actuator  2970  when or while structure  2902  is in the expanded configuration is not accompanied by a concurrent rotation of any of the respective proximal and distal ends  2907  and  2905 . 
     In  FIG. 10B , the second end portion  2910   b  of shaft member  2910  includes a surface  2912 , a portion of the surface  2912  positioned at an end  2913  of flexible shaft member  2910 , the portion of the surface  2912  being circumferentially arranged about a second axis  2937 . End  2913  defines an end or terminus of flexible shaft member  2910 , and in particular, an end of second end portion  2910   b . In various embodiments, an extent of the portion of surface  2912  is defined at least in part by end  2913 . In various embodiments, the second axis  2937  is parallel to the first axis  2935 . In some embodiments, the second axis  2937  and the first axis  2935  are substantially collinear. In various embodiments, the intermediate portion  2909  of each of at least some or all of the plurality of elongate members  2904  is rotated about the second axis  2937  by rotation actuator  2970 . 
     In various embodiments, the expanded configuration is a first expanded configuration in which the respective intermediate portion  2909  of each of at least some of the elongate members  2904  is radially spaced from the first axis  2935  by a respective first radial distance. In some of these various embodiments, the structure  2902  is further selectively moveable between the first expanded configuration and a second expanded configuration in which the respective intermediate portion  2909  of each of the at least some of the plurality of elongate members  2904  is radially spaced from the first axis  2935  by a second radial distance, each second radial distance having a greater magnitude than a magnitude of the corresponding or respective first radial distance. This may be motivated by various reasons. For example, the at least some of the elongate members  2904  may be further manipulated to adjust a positioning between various transducer elements  2990  located on the elongate members  2904  and a tissue surface within a bodily cavity in which the structure  2902  is positioned. The at least some of the elongate members  2904  may be further manipulated to create conformance with a tissue surface of the bodily cavity when structure  2902  is moved from the first expanded configuration to the second expanded configuration. In some embodiments, a size of the structure  2902  in the first expanded configuration is configured to reduce contact between the structure  2902  and an interior tissue surface of the bodily cavity in which the structure  2902  is positioned. This may be motivated by different reasons including reducing occurrences of damage to the interior tissue surface during the rotation of the intermediate portions  2909  of at least some or all of the elongate members  2904  by rotation actuator  2970 . After the rotational movement, the structure  2902  may be selectively moved into the second expanded configuration to engage with, or be positioned at least proximate to, the interior tissue surface within the bodily cavity. 
       FIGS. 11A and 11B  show a system including a medical system or device  3000  according to various embodiments. System or device  3000  includes a frame or structure  3002  that comprises a plurality of elongate members  3004 . System or device  3000  may include a plurality of transducer elements located on the structure  3002  (i.e., not shown for clarity, but similar to transducer elements  120 ,  206 ,  1490 ,  2490 ,  2690  and  2990 ), the plurality of transducer elements positionable within a bodily cavity (not shown). In some embodiments, the plurality of transducer elements are arrangeable to form a two- or three-dimensional distribution, grid or array of the transducer elements capable of mapping, ablating or stimulating an inside surface of a bodily cavity or lumen without requiring mechanical scanning In various example embodiments, at least some of the transducer elements include respective electrodes, each electrode including a respective energy transmission surface configured for transferring energy to tissue, from tissue, or both to and from tissue. 
     In a manner similar to other embodiments described in this disclosure, structure  3002  is selectively movable between an unexpanded or delivery configuration (e.g., as shown in  FIG. 11A ) and an expanded or deployed configuration (e.g., as shown in  FIG. 11B ) that may be used to position elongate members  3004  against a tissue surface within the bodily cavity or position the elongate members  3004  in the vicinity of the tissue surface. In some embodiments, structure  3002  has a size in the unexpanded or delivery configuration suitable for percutaneous delivery through a bodily opening (e.g., via catheter sheath  3012 ) to the bodily cavity. In some embodiments, structure  3002  has a size in the expanded configuration too large for percutaneous delivery through a bodily opening (e.g., via catheter sheath  3012 , not shown in  FIG. 11B ) to the bodily cavity. The elongate members  3004  may form part of a flexible circuit structure (i.e., also known as a flexible printed circuit board (PCB) circuit). In some embodiments, the elongate members  3004  include a plurality of different material layers. In some embodiments, each of the elongate members  3004  includes a plurality of different material layers. 
     In  FIG. 11A , each of the elongate members  3004  includes a respective distal end  3005  (only one called out), a respective proximal end  3007  (only one called out) and an intermediate portion  3009  (only one called out) positioned between the proximal end  3007  and the distal end  3005 . The respective intermediate portion  3009  of each elongate member  3004  includes a first or front surface  3018   a  that is positionable to face an interior tissue surface within a bodily cavity (not shown) and a second or back surface  3018   b  opposite across a thickness of the intermediate portion  3009  from the front surface  3018   a . In various embodiments, the intermediate portion  3009  of each of the elongate members  3004  includes a respective pair of side edges of the front surface  3018   a , the back surface  3018   b , or both the front surface  3018   a  and the back surface  3018   b , the side edges of each pair of side edges opposite to one another, the side edges of each pair of side edges extending between the proximal end  3007  and the distal end  3005  of the respective elongate member  3004 . In some embodiments, each pair of side edges includes a first side edge  3027   a  (only one called out in  FIG. 11A ) and a second side edge  3027   b  (only one called out in  FIG. 11A ). In some embodiments, each of the elongate members  3004 , including each respective intermediate portion  3009 , is arranged front surface  3018   a -toward-back surface  3018   b  in a stacked array during an unexpanded or delivery configuration. In many cases, a stacked array allows the structure  3002  to have a suitable size for percutaneous or intravascular delivery. In some embodiments, the elongate members  3004  are arranged to be introduced into a bodily cavity (again not shown) distal end  3005  first. For clarity, not all of the elongate members  3004  of structure  3002  are shown in  FIG. 11A . In some embodiments, each of at least some of the elongate members includes a bent portion  3009   a  (i.e., similar to portions  2609   a ,  2809   a ) as called out in  FIG. 11B . In some embodiments, each of at least some of the elongate members includes a twisted portion  3009   c  (i.e., similar to twisted portions  2609   c ,  2809   c ) as called out in  FIG. 11B . 
     Each of the elongate members  3004  is arranged in a fanned arrangement  3080  in  FIG. 11B . Elongate members  3004  are identified as elongate members  3004   a ,  3004   b ,  3004   c ,  3004   d ,  3004   e ,  3004   f ,  3004   g ,  3004   h ,  3004   i  and  3004   j  in  FIG. 11B . In some embodiments, the fanned arrangement  3080  is formed during the expanded or deployed configuration in which structure  3002  is manipulated to have a size too large for percutaneous or intravascular delivery. In some embodiments, structure  3002  includes a proximal portion  3002   a  having a first domed shape  3008   a  and a distal portion  3002   b  having a second domed shape  3008   b  when structure  3002  is in the expanded configuration. In some embodiments, the proximal and the distal portions  3002   a ,  3002   b  include respective portions of elongate members  3004 . In some embodiments, the structure  3002  is arranged to be delivered distal portion  3002   b  first into a bodily cavity (again not shown) when the structure  3002  is in the unexpanded or delivery configuration as shown in  FIG. 11A . In some embodiments, the proximal and the distal portions  3002   a ,  3002   b  are arranged in a clam shell configuration in the expanded or deployed configuration shown in  FIG. 11B . In various example embodiments, each of the front surfaces  3018   a  (three called out in  FIG. 11B ) of the intermediate portions  3009  of the plurality of elongate members  3004  face outwardly from the structure  3002  when the structure  3002  is in the expanded configuration. In various embodiments, each of the front surfaces  3018   a  of the intermediate portions  3009  of the plurality of elongate members  3004  are positioned adjacent an interior tissue surface of a bodily cavity (not shown) in which the structure  3002  (i.e., in the expanded configuration) is located. In various example embodiments, each of the back surfaces  3018   b  (two called out in  FIG. 11B ) of the intermediate portions  3009  of the plurality of elongate members  304  face an inward direction when the structure  3002  is in the expanded configuration. 
     In various embodiments, the respective intermediate portions  3009  of various ones of the elongate members  3004  are angularly arranged with respect to one another about a first axis  3035  when structure  3002  is in the expanded configuration. In various embodiments, each of the respective intermediate portions  3009  of the plurality of elongate members  3004  are radially arranged with respect to one another at least partially about or around a first axis  3035  when the structure  3002  is in the expanded configuration. That is, each of the intermediate portions  3009  is radially distributed at least partially about or around the first axis  3035  (i.e., when looking along a direction that the first axis  3035  extends along), for example like lines of longitude about a rotational or polar axis. Thus, in various embodiments, each of the respective intermediate portions  3009  of the elongate members  3004  may be described as being radially spaced from the first axis  3035  when structure  3002  is in the expanded configuration. In various embodiments, the intermediate portions  3009  of various ones of the elongate members  3004  may be described as being circumferentially arranged about first axis  3035  when structure  3002  is in the expanded configuration, similar to lines of longitude about an axis of rotation of a body of revolution, which body of revolution may, or may not be spherical. 
     In some embodiments, each of the elongate members  3004  includes a curved portion  3023  (two called out in  FIG. 11B ) having a curvature configured to cause the curved portion  3023  to extend along at least a portion of a curved path, the curvature configured to cause the curved path to intersect the first axis  3035  at each of a respective at least two spaced apart locations along the first axis  3035  when structure  3002  is in the expanded configuration. In some embodiments, the curved path is defined to include an imagined extension of the curved portion along the curved portion&#39;s extension direction while maintaining the curved portion&#39;s curvature (e.g., radius of curvature or change in radius of curvature). In some embodiments, each curved portion  3023  may extend entirely along, or at least part way along the respective curved path to physically intersect at least one of the respective at least two spaced apart locations along the first axis  3035 . In some particular embodiments, no physical portion of a given elongate member of an employed structure intersects some of the at least two spaced apart locations along the first axis  3035  intersected by the respective curved path associated with the curved portion  3023  of the given elongate member. In some embodiments, various ones of the elongate members  3004  cross one another at a location on the structure  3002  passed through by the first axis  3035  when the structure  3002  is in the expanded configuration. In various embodiments, the curved path is an arcuate path. In various embodiments, at least the portion of the curved path extended along by corresponding curved portion  3023  is arcuate or volute. In some embodiments, structure  3002  is selectively movable between a first expanded configuration and a second expanded configuration similar to various embodiments described above in this disclosure (e.g., selective manipulation of frame  2502  from a first fanned array  2570  to a second fanned array  2572  or selective manipulation of frame  2802  from a first fanned array  2870  to a second fanned array  2872 ). In various embodiments, the curved portions  3023  are circumferentially arranged about the first axis  3035  when the structure  3002  is in the expanded configuration. 
     In various embodiments, a shaft member  3010  is used to deliver structure  3002  through catheter sheath  3012 . In some embodiments, shaft member  3010  is typically sufficiently flexible to allow for percutaneous delivery of structure  3002  through a tortuous path. In  FIGS. 11A and 11B , structure  3002  is physically coupled to shaft member  3010 . In various embodiments, shaft member  3010  includes a first end portion  3010   a  and a second end portion  3010   b  spaced from the first end portion  3010   a  across an elongated portion  3010   c  of the shaft member  3010 . In  FIGS. 11A and 11B , structure  3002  is physically coupled to the shaft member  3010  at least proximate the second end portion  3010   b  of the shaft member  3010 . In some embodiments, a handle portion  3003  is physically coupled to the shaft member  3010  at a location at least proximate the first end portion  3010   a  of shaft member  3010 . In various embodiments, handle portion  3003  is directly manipulable by a user to percutaneously deliver structure  3002  to a bodily cavity when structure  3002  is in the unexpanded configuration. In some example embodiments, a least a portion of the shaft member  3010  is directly manipulable by a user to percutaneously deliver structure  3002  to a bodily cavity. For example, the directly manipulable portion of shaft member  3010  may include at least part of the elongated portion  3010   c  of the shaft member  3010 . In various embodiments, an external surface of shaft member  3010  is positioned for contact with a surface of a lumen of a catheter sheath (e.g., catheter sheath  3012 ) through which a portion of shaft member  3010  is passed through when structure  3002  is percutaneously delivered in the unexpanded configuration. Various communication paths (e.g., transducer element data paths, energy transmission paths, etcetera, not shown) may be provided through a portion of shaft member  3010 . In some embodiments, various control paths, communication paths or data transmission paths (not shown) may be provided between shaft member  3010  and a controller (e.g., controller  224 ). 
     In some embodiments, structure  3002  is fixedly coupled to shaft member  3010 . In various embodiments, the respective proximal end  3007 , the respective distal end  3005 , or each of the respective proximal and distal ends  3007 ,  3005  of each of the elongate members  3004  is fixedly coupled to shaft member  3010 . For example, in  FIGS. 11A and 11B , the respective proximal end  3007  of each of the elongate members  3004  is fixedly coupled to shaft member  3010 . In some example embodiments, each location on the structure  3002  to which shaft member  3010  is physically coupled is positioned to one side (i.e., a same or a common one of the sides) of at least one plane (also referred to as a spatial plane) when the structure  3002  is in the expanded configuration, each plane of the at least one plane coincident with the first axis  3035 . For example, in  FIG. 11B , a plane  3039  is coincident with first axis  3035  when structure  3002  is in the expanded configuration. In  FIG. 11B , each location on the structure  3002  to which shaft member  3010  is physically coupled is positioned to one or a same side of plane  3039 . It is understood that other planes may also be positioned in a similar relationship with shaft member  3010 . Plane  3039  is depicted as having boundaries merely for purposes of clarity of illustration in  FIG. 11B . In some embodiments, at least some of the respective curved portions  3023  of at least two of the elongate members  3004  are arranged on each side of a plane positioned coincident with first axis  3035  (e.g., plane  3039 ) when the structure  3002  is in the expanded configuration. In some embodiments, at least some of the respective intermediate portions  3009  of at least two of the elongate members  3004  are arranged on each side of a plane positioned coincident with first axis  3035  (e.g., plane  3039 ) when the structure  3002  is in the expanded configuration.  FIG. 11C  is a plan view of structure  3002  in the expanded configuration of  FIG. 11B . The plan view of  FIG. 11C  has an orientation such that first axis  3035  is viewed along the axis in this particular embodiment. The plan view of  FIG. 11C  has an orientation such that plane  3039  is viewed ‘on edge’ to its respective planar surface. It is noted in various embodiments, plane  3039  is an imaginary spatial plane (i.e., not itself a physical structure) and has no or infinitesimal thickness, and ‘on edge’ is intended to refer to an ‘on edge’ perspective assuming that the plane had an edge of infinitesimal or minimal thickness. Plane  3039  is represented by a respective “heavier” line in  FIG. 11C . First axis  3035  is represented by a “•” symbol in  FIG. 11C . It is understood that each of the depicted lines or symbols “•” used to represent any corresponding plane, or axis in this disclosure do not impart any size attributes on the corresponding plane or axis. 
     In  FIGS. 11B and 11C , the second end portion  3010   b  of shaft member  3010  includes a surface  3014 , a portion of the surface  3014  positioned at an end  3013  of shaft member  3010  being circumferentially arranged about a second axis  3037 . End  3013  defines an end of shaft member  3010 , and in particular, an end of second end portion  3010   b . In various embodiments, an extent of the portion of surface  3012  is defined at least in part by end  3013 . In various embodiments, the second axis  3037  is not parallel to the first axis  3035  when structure  3002  is in the expanded configuration. In various embodiments, the second axis  3037  is not collinear with first axis  3035  when structure  3002  is in the expanded configuration. 
     Structure  3002  may be selectively moved between the unexpanded configuration and the expanded configuration by the use of various methods and devices such as those employed with structures or frames  2702 ,  2802  by way of non-limiting example. In some example embodiments, at least the respective intermediate portions  3009  of at least some of the plurality of elongate members  3004  are fanned as the structure  3002  is moved between the unexpanded configuration and the expanded configuration. At least a portion of the fanning may include autonomous fanning as described above in this disclosure. In some example embodiments, at least the respective intermediate portions  3009  of at least some of the plurality of elongate members  3004  are rotated about an axis as the structure  3002  is moved between the unexpanded configuration and the expanded configuration. In some example embodiments, when the structure  3002  is moved between the unexpanded configuration and the expanded configuration, at least the respective intermediate portion  3009  of each elongate member  3004  of a first set of the elongate members  3004  is rotated in a first rotational direction (e.g., a clockwise rotational direction), and at least the respective intermediate portion  3009  of each elongate member  3004  of a second set of the elongate members  3004  different than the first set is rotated in a second rotational direction (e.g., a counter-clockwise rotational direction) opposite to the first rotational direction. For example in some embodiments, the respective intermediate portions of each of a first set of the elongate members and a second set of the elongate members are rotated in opposite directions in a manner similar to the elongate members  1704   b ,  1704   c ,  1704   d ,  1704   e ,  1704   f  in  FIGS. 4G and 4H  as an associated structure that includes the first and the second sets is moved between an unexpanded configuration and an expanded configuration. In some example embodiments, the respective intermediate portions of each of a first set of the elongate members and a second set of the elongate members are rotated in opposite directions in a manner similar to the elongate members  2604   a ,  2604   b ,  2604   c    2604   e ,  2604   f  and  2604   g  in various ones of  FIG. 7  as an associated structure that includes the first and the second sets is moved between an unexpanded configuration and an expanded configuration. Rotations may have differential rotational speeds, or the rotational speeds may be the same across some or all elongate members. 
     As represented in  FIG. 11C , when structure  3002  has been moved into the expanded configuration from the unexpanded configuration (e.g., as shown in  FIG. 11A ), at least the respective intermediate portions  3009  (only two called out) of the elongate members  3004  in a first set of the elongate members  3004  (i.e., elongate members  3004   a ,  3004   b ,  3004   c ,  3004   d , and  3004   e ) each have been rotated in a first rotational direction (e.g., a clockwise rotational direction represented by arrow  3090   a ) and at least the respective intermediate portions  3009  (only two called out) of the elongate members  3004  in a second set of the elongate members  3004  (i.e., elongate members  3004   f ,  3004   g ,  3004   h ,  3004   i  and  3004   j ) each have been rotated in a second rotational direction (e.g., a counter-clockwise rotational direction represented by arrow  3090   b ) opposite to the first rotational direction. In some embodiments, when the structure  3002  is moved between the unexpanded configuration and the expanded configuration, at least the respective intermediate portion  3009  of each elongate member  3004  in the first set is rotated in a first rotational direction about the first axis  3035 , and at least the respective intermediate portion  3009  of each elongate member  3004  in the second set is rotated in a second rotational direction about the first axis  3035 , the second rotational direction opposite to the first rotational direction. As represented in  FIG. 11C , when structure  3002  has been moved into the expanded configuration from the unexpanded configuration (i.e., as best visualized in  FIG. 11A ), at least the respective intermediate portion of each elongate member  3004  in the first set of elongate members  3004  has been moved away from the second axis  3037  in a first direction (e.g., represented by arrow  3092   a ) and at least the respective intermediate portion of each elongate member  3004  in the second set of elongate members  3004  has been moved away from the second axis  3037  in a second direction (e.g., represented by arrow  3092   b ). In some embodiments, the first and the second directions are different directions. In some embodiments, the second direction is opposite to the first direction. In some embodiments, the first direction includes a first rotational direction component (e.g., a clockwise rotational direction component represented by arrow  3094   a ) and the second direction includes a second rotational direction component (e.g., a counter-clockwise rotational direction component represented by arrow  3094   b ) opposite to the first rotational direction component. 
     In various embodiments, the structure  3002  is operably coupled to at least one actuator, the at least one actuator selectively operable to rotate the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  at least partially about or around at least the first axis  3035  when or while structure  3002  is in the expanded configuration. In various embodiments, the intermediate portion  3009  of each of at least some of the plurality of elongate members  3004  is moved with respect to, or relatively to, at least the second end portion  3010   b  of the shaft member  3010  by the at least one actuator when or while structure  3002  is in the expanded configuration. In various embodiments, the intermediate portions  3009  of all of the plurality of elongate members  3004  are moved with respect to, or relatively to at least the second end portion  3010   b  of the shaft member  3010  by the at least one actuator when structure  3002  is in the expanded configuration. For example, in  FIGS. 11B and 11C , at least one actuator that includes a rotation actuator  3070  is employed in some embodiments to rotate at least the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  about the first axis  3035  when or while structure  3002  is in the expanded configuration. In various embodiments, at least the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  is moved with respect to, or relatively to, at least the second end portion  3010   b  of the shaft member  3010  by rotation actuator  3070 . In some embodiments, the rotation actuator  3070  is located on handle portion  3003 . In various embodiments, the intermediate portions  3009  of all of the plurality of elongate members  3004  are configured to concurrently move with respect to, or relatively to, the second end portion  3010   b  of the shaft member  3010  and to concurrently rotate about the first axis  3035 . In various embodiments, the intermediate portions  3009  of all of the plurality of elongate members  3004  are configured to concurrently move throughout at least a portion of the duration of their movement with respect to the second end portion  3010   b  of the shaft member  3010  and throughout at least a portion of the duration of their rotation about the first axis  3035 . 
     In various embodiments, rotation actuator  3070  is selectively operable to rotate the intermediate portion  3009  of each of at least some of the plurality of elongate members  3004  at least partially about or around at least the first axis  3035  when or while structure  3002  is in the expanded configuration. In some of these embodiments, the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  rotates at least partially about or around each of the first axis  3035  and the second axis  3037  by different respective angular amounts when the rotation actuator  3070  rotates the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  about at least the first axis  3035  when or while structure  3002  is in the expanded configuration. For example, when the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  is rotated partially about the first axis  3035  by a respective first angular amount by the rotation actuator  3070  when or while structure  3002  is in the expanded configuration, a secondary rotation of the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  by a second angular amount about the second axis  3037  may also occur. In various embodiments, each first angular amount is typically much greater than the corresponding second angular amount. In some embodiments, the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  is not rotated about the second axis  3037  when rotation actuator  3070  rotates the intermediate portion  3009  of each of the at least some of the plurality of elongate members  3004  about at least the first axis  3035  when or while structure  3002  is in the expanded configuration. 
     In various embodiments, the rotation actuator  3070  is operable to manipulate various control members to cause at least the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  to at least partially rotate about the first axis  3035  and move with respect to, or relative to, the second end portion  3010   b  of the shaft member  3010 . For example, in  FIGS. 11B and 11C , two control members  3070   a  and  3070   b  are manipulable by rotation actuator  3070  to cause the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  to partially rotate about the first axis  3035  and move with respect or relative to the second end portion  3010   b  of the shaft member  3010 . It is noted that although each of control members  3070   a  and  3070   b  is directly physically coupled to a respective one of elongate members  3004   a  and  3004   j  in  FIGS. 11B and 11C , movement of any of elongate members  3004   a  and  3004   j  under the influence of corresponding ones of control members  3070   a  and  3070   b  may also result in movement of others of the elongate members  3004  in various embodiments. For example, each of the elongate members  3004  may be physically coupled together by various coupling members (not shown but sometimes similar to coupling members  2858  used in various embodiments associated with device  2800 ). In various embodiments, coupling members such as coupling members  2858  may be employed to cause a movement of at least one elongate member  3004  on the basis of a movement of at least another elongate member  3004 . 
     Control members  3070   a ,  3070   b  may take different forms various embodiments. For example, control members  3070   a ,  3070   b  can include tension force transmission members or compression force transmission members by way of non-limiting example. In various embodiments, a portion of each of at least one of control members  3070   a ,  3070   b  may be conveyed through shaft member  3010  or catheter sheath  3012  to rotation actuator  3070 . In  FIGS. 11B and 11C , rotation actuator  3070  is operable to selectively apply force (e.g., a tension force) to various ones of the control members  3070   a ,  3070   b  to cause the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  to at least partially rotate about the first axis  3035  and move with respect to, or relative to, the second end portion  3010   b  of the shaft member  3010  when or while structure  3002  is in the expanded configuration. For example, in various embodiments, rotation actuator  3070  may be selectively operable to partially rotate the intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  about or around the first axis  3035  in a particular rotational direction when or while structure  3002  is in the expanded configuration. In some of these various embodiments, the particular rotational direction is one of a first rotational direction (e.g., rotational direction represented by arrow  3090   a  or rotational direction component represented by arrow  3094   a ) or a second rotational direction (e.g., rotational direction represented by arrow  3090   b  or rotational direction component represented by arrow  3094   b ) associated with the movement of structure  3002  between the unexpanded configuration and the expanded configuration. 
       FIG. 11D  is similar to the plan view of  FIG. 11C  in which structure  3002  is in the expanded configuration, but in which rotation actuator  3070  has been operated in a first mode in which the intermediate portion  3009  of each of at least some (i.e., all in  FIG. 11D ) of the elongate members  3004  have been partially rotated about or around the first axis  3035  in a first rotational direction (e.g., a clockwise rotational direction represented by arrow  3096   a ) according to various embodiments. In some of these various embodiments, the first rotational direction represented by arrow  3096   a  is the same as a first rotational direction (e.g., rotational direction  3090   a  or rotational direction component  3094   a ) associated with a movement of a portion of the structure  3202  between the unexpanded configuration and the expanded configuration. In various embodiments, rotation actuator  3070  may be configured to operate in various ways in the first mode. For example in some embodiments, rotation actuator  3070  may be operated to cause the intermediate portion  3009  of each of at least some (i.e., all in  FIG. 11D ) of the elongate members  3004  to partially rotate about or around the first axis  3035  in the first rotational direction represented by arrow  3096   a  by causing control member  3070   a  to apply a greater amount of force (e.g., tension-based force) to elongate member  3004   a  than a force (e.g., tension-based force) applied to elongate member  3004   j  by control member  3070   b . In some embodiments, rotation actuator  3070  may be operated to cause the intermediate portion  3009  of each of at least some (i.e., all in  FIG. 11D ) of the elongate members  3004  to partially rotate about or around the first axis  3035  in the first rotational direction represented by arrow  3096   a  by causing control members  3070   a ,  3070   b  to apply a suitable force couple or moment to structure  3202 . In some embodiments, a biasing device (e.g., spring, resilient member) is employed to oppose a rotation, when structure  3002  is in the expanded configuration, of the intermediate portion  3009  of each of at least some or all of the elongate members  3004  about the first axis  3035  under the influence of rotation actuator  3070 . For example, a biasing device as described above may be provided at least in part by a respective resilient portion of each of at least some of the elongate members  3004 . In  FIGS. 11B and 11C , a first portion (e.g., bent portion  3009   a ) of each of at least some of the elongate members  3004  is adjacent a corresponding twisted portion  3009   c . In various embodiments, a biasing device as described above may be provided at least in part by each bent portion  3009   a . It is noted each twisted portion  3009   c  may also provide at least part of the biasing device. However, since each twisted portion  3009   c  is typically stiffer than a corresponding bent portion  3009   a , each bent portion  3009  will preferentially bend during the application of the biasing action in various embodiments. 
       FIG. 11E  is similar to the plan view of  FIG. 11C  in which structure  3002  is in the expanded configuration, but in which rotation actuator  3070  has been operated in a second mode in which the intermediate portion  3009  of each of at least some (i.e., all in  FIG. 11E ) of the elongate members  3004  have been rotated about the first axis  3035  in a second rotational direction (e.g., counter-clockwise rotational direction represented by arrow  3096   b ) according to various embodiments. In various embodiments, the second rotational direction represented by arrow  3096   b  is opposite to the first rotational direction represented by arrow  3096   a . In some of these various embodiments, the second rotational direction represented by arrow  3096   b  is the same as a second rotational directional rotation (e.g., rotational direction represented by arrow  3090   b  or rotational direction component represented by arrow  3094   b ) associated with a movement of a portion of the structure  3002  between the unexpanded configuration and the expanded configuration. In various embodiments, rotation actuator  3070  may be configured to operate in various ways in the second mode. For example in some embodiments, rotation actuator  3070  may be operated to cause the intermediate portion  3009  of each of at least some (i.e., all in  FIG. 11E ) of the elongate members  3004  to partially rotate about or around the first axis  3035  in the second rotational direction represented by arrow  3096   b  by causing control member  3070   b  to apply a greater amount of force (e.g., tension-based force) to elongate member  3004   j  than a force (e.g., tension-based force) applied to elongate member  3004   a  by control member  3070   a . In some embodiments, rotation actuator  3070  is selectively operable in each of the first mode (e.g., represented in  FIG. 11D ) and the second mode (e.g., represented in  FIG. 11E ). The intermediate portion  3009  of each of at least some or all of the plurality of elongate members  3004  may be controlled to at least partially rotate about or around the first axis  3035  by other angular amounts than those depicted in  FIGS. 11D and 11E  in other embodiments. 
     Referring back to embodiments represented in  FIG. 7 , each front surface  2618   a  includes, carries or supports (i.e., directly or indirectly) at least one transducer element  2690  (i.e., not shown) that is positionable adjacent to an interior tissue surface in when the first fanned array  2670  is manipulated into the second fanned array  2672  within a bodily cavity having the interior tissue surface. In these example embodiments, once the second fanned array  2672  has been appropriately positioned at a given location within a bodily cavity, determination of the locations of various components of device  2600  (e.g., transducer elements including sensors or electrodes or related support structures such as elongate members  2604 ), or the locations of various anatomical features within the bodily cavity can be determined by various methods. In these example embodiments, after the portion of the device  2600  has been appropriately positioned at a given location within a bodily cavity, ablation of various regions of a tissue surface within bodily cavity can commence. The second fanned array  2672  may be removed from the bodily cavity by reconfiguring the portion of the device  2600  back into the second/bent configuration and then further back into the first/unexpanded configuration. In this example embodiment, the wedged or tapered form of the fanned first portions  2609   a  of the elongate members  2604  allows the elongate members  2604  to be readily drawn into a lumen of catheter sheath  2606  facilitating movement from the deployed configuration to the delivery configuration. 
       FIG. 8  is a flow diagram representing a method  2700  for forming, fabricating or manufacturing various elongate members employed in various embodiments. For convenience, the various procedures or acts described in method  2700  are made with reference to the elongate members  2604  shown in  FIGS. 7A through 7M . It is understood that method  2700  may be applied to produce other elongate members employed in other embodiments. 
     Method  2700  begins with block  2702  in which a plurality of elongate members are provided. For example,  FIG. 7G  includes a respective plan view of each of various elongate members including elongate members  2604   a   int ,  2604   b   int ,  2604   c   int ,  2604   d   int ,  2604   e   int ,  2604   f   int , and  2604   g   int  (collectively  2604   int ) that are provided to form at least a portion of respective ones of the elongate members  2604  employed by the example embodiment shown in  FIG. 7A . In this example embodiment, provided elongate member  2604   a   int  corresponds to elongate member  2604   a , provided elongate member  2604   b   int  corresponds to elongate member  2604   b , provided elongate member  2604   c   int  corresponds to elongate member  2604   c , provided elongate member  2604   d   int  corresponds to elongate member  2604   d , provided elongate member  2604   e   int  corresponds to elongate member  2604   e , provided elongate member  2604   f   int  corresponds to elongate member  2604   f , and provided elongate member  2604   g   int  corresponds to elongate member  2604   g . As shown in  FIG. 7G , the respective proximal end  2607 , the respective distal end  2605 , the respective length  2611 , and the respective front surface  2618   a  of each one of elongate members  2604   a ,  2604   b ,  2604   c ,  2604   d ,  2604   e ,  2604   f , and  2604   g  is also represented in a respective one of provided elongate members  2604   a   int ,  2604   b   int ,  2604   c   int ,  2604   d   int ,  2604   e   int ,  2604   f   int , and  2604   g   int . Accordingly, the same reference numbers have been employed. 
     In this example embodiment, each of the elongate members  2604   int  is provided in a strip-like form. In some embodiments, each elongate member  2604   int  is provided in a generally planar form or with material or geometric properties that allow the elongate member  2604   int  to be deformed into assuming a generally planar or flat form under the influence of modest forces. Without limitation, various ones of the provided elongate members  2604   int  may include various metallic compositions, non-metallic compositions or combinations thereof. In some embodiments, the provided elongate members  2604   int  may include a shape memory material, for instance Nitinol. The incorporation of a specific material into various ones of the elongate members  2604   int  may be motivated by various factors. In this example embodiment, various portions of each provided elongate member  2604   int  include material properties and geometric dimensions suitable for undergoing a distortion or deformation process employed by method  2700 . By way of non-limiting example, the distortion or deformation process can include a plastic deformation process. By way of non-limiting example, the distortion or deformation process can include a non-reversible distortion or deformation process in which a given one of the provided elongate members  2604   int  that is distorted or deformed by the application of force does not generally return back to its original shape upon removal of the applied force. In this example embodiment, each provided elongate member  2604   int  includes material properties and geometric dimensions that have been pre-selected to allow for a subsequent manipulation (e.g., during an actual use of device  2600 ) of the respective elongate member  2604  that is formed at least in part, from the provided elongate member  2604   int . Manipulation of various portions  2609  of each resulting elongate member  2604  can include bending, flexing, twisting and combinations thereof by way of non-limiting example. Manipulation of various portions  2609  of each resulting elongate member  2604  can include relatively few manipulations or a relatively large number of manipulations. In some example embodiments, various ones of the provided elongate members  2604   int  are made from a material whose material properties and geometric dimensions have been preselected so that the resulting elongate members  2604  can withstand cyclic manipulation. In some example embodiments, various ones of the provided elongate members  2604   int  are made from a material having material properties and geometric dimensions that have been preselected such that the resulting elongate members  2604  can withstand anticipated conditions that can lead to possible fatigue failure. The present inventors have employed methods similar to method  2700  that employ provided elongate members  2604   int  made from stainless steel (e.g., 17-7 SS) and having maximum cross-sectional dimensions of 0.127 millimeters by 4 millimeters by way of non-limiting example. 
     In this example embodiment, each provided elongate member  2604   int  includes a plurality of different portions  2609   int  including first portion  2609   a   int , second portion  2609   b   int  and a third portion  2609   c   int  positioned between the first and the second portions  2609   a   int  and  2609   b   int . Each of the various portions  2609   int  corresponds to one of the various portions  2609  of elongate member  2604  that results from processing of the provided elongate member  2604   int  under various processes undertaken in accordance with method  2700 . Accordingly, the respective side edges of each of the portion  2609   int  are identified by the same part numbers of the side edges  2620  of the corresponding portions  2609 . In some embodiments, at least one of the first portion  2609   a   int , second portion  2609   b   int  and a third portion  2609   c   int  of a provided elongate member  2604   int  may undergo one or more processes to transform the at least one of the first portion  2609   a   int , second portion  2609   b   int  and third portion  2609   c   int  into a corresponding one of one of the first portion  2609   a , second portion  2609   b  and third portion  2609   c  of the elongate member  2604  produced by method  2700 . It is noted that in some embodiments, not all of the various portions  2609   int  including first portion  2609   a   int , second portion  2609   b   int  and third portion  2609   c   int  of a provided elongate member  2604   int  may undergo a process as specified by method  2700  and may be provided substantially unaltered or undergo an alternate process to form the final elongate member  2604 . 
     In this example embodiment, the respective second portion  2609   b   int  of each provided elongate member  2604   int  of at least some of the plurality of provided elongate members  2604   int  (e.g., provided elongate members  2604   a   int ,  2604   b   int ,  2604   c   int ,  2604   e   int ,  2604   f   int , and  2604   g   int ) is laterally offset from the respective first portion  2609   a   int  of the provided elongate member  2604   int  across at least a portion of the respective length  2611  of the provided elongate member  2604   int . In this example embodiment, a center line or midline  2612   b  of the respective second portion  2609   b   int  of each provided elongate member  2604   int  of at least some of the plurality of provided elongate members  2604   int  (e.g., elongate members  2604   a   int ,  2604   b   int ,  2604   c   int ,  2604   e   int ,  2604   f   int , and  2604   g   in ) is laterally offset from a center line or midline  2612   a  of the respective first portion  2609   a   int  of the provided elongate member  2604   int  across at least a portion of the respective length  2611  of the provided elongate member  2604   int . In some example embodiments, various ones of the midlines  2612   a  and  2612   b  form a line of symmetry of a respective one of the portions  2609   int . In some example embodiments, various ones of the midlines  2612  extend across a centroid of a respective one of the portions  2609   int . In this example embodiment, the respective pair of side edges  2620  of each of the first portion  2609   a   int  and second portion  2609   b   int  of each provided elongate member  2604   int  includes a respective first side edge  2620   a  (only one called out for each provided elongate member  2604   int ) arranged on a first side of the provided elongate member  2604   int  and a respective second side edge  2620   b  (only one called out for each provided elongate member  2604   int ) arranged on a second side of the provided elongate member  2604   int . In various example embodiments, at least one of the first side edge  2620   a  and the second sided edge  2620   b  of the respective second portion  2609   b   int  of at least one of the provided elongate members  2604   int  (i.e., both of the first and the second side edges  2620   a ,  2620   b  in this illustrated embodiment) is laterally offset from the corresponding one of the first side edge  2620   a  and the second sided edge  2620   b  of the respective first portion  2609   a   int  of the at least one of the provided elongate members  2604   int  across at least a portion of the respective length  2611  of the at least one of the provided elongate members  2604   int . 
     In this example embodiment, various ones of the provided elongate members  2604   int  have different amounts of lateral offset between their respective second and first portions  2609   b   int ,  2609   a   int . For example, the respective second portion  2609   b   int  of provided elongate member  2604   a   int  is laterally offset from the respective first portion  2609   a   int  of provided elongate member  2604   a   int  by a first distance  2623   a  over a portion of the respective length  2611  of provided elongate member  2604   a   int . The respective second portion  2609   b   int  of provided elongate member  2604   b   int  is laterally offset from the respective first portion  2609   a   int  of provided elongate member  2604   b   int  by a second distance  2623   b  over a portion of the respective length  2611  of provided elongate member  2604   b   int . In this example embodiment, the second distance  2623   b  is different than the first distance  2623   a . In this example embodiment, the second distance  2623   b  is less than the first distance  2623   a . In this example embodiment, the amount of lateral offset between their respective second and first portions  2609   b   int ,  2609   a   int  of the various provided elongate members  2604   int  arranged as shown in  FIG. 7G  reduces from top-to-middle and from middle-to-top in the illustrated arrangement. In this example embodiment, the respective second portion  2609   b   int  of each of provided elongate members  2604   c   int  and  2604   e   int  has relatively little lateral offset from the respective first portion  2609   a   int  of each of provided elongate members  2604   c   int  and  2604   e   int . In this example embodiment, the respective second portion  2609   b   int  of each of provided elongate members  2604   a   int  and  2604   g   int  has the greatest amount of lateral offset from the respective first portion  2609   a   int  of each of the provided elongate members  2604   a   int  and  2604   g   int . In this example embodiment, the respective second portion  2609   b   int  of provided elongate member  2604   d   int  is not laterally offset from the respective first portion  2609   a   int  of provided elongate member  2604   d   int . Rather, the respective first, second and third portions  2609   a   int ,  2609   b   int , and  2609   c   int  of provided elongate member  2604   d   int  are all aligned along a substantially straight path. 
     As best seen in  FIG. 7G , at least one of the provided elongate members  2604   int  includes at least one corner  2630   a  (only one called out as shown in provided elongate member  2604   a   int ) formed by a convergence of the respective first side edge  2620   a  of the third portion  2609   c   int  of the at least one of the provided elongate members  2604   int  and the respective first side edge  2620   a  of the second portion  2609   b   int  of the at least one of the provided elongate members  2604   int , the at least one corner  2630   a  enclosing a respective angle “α” extending across the front surface  2618   a  of the at least one of the provided elongate members  2604   int . In this example embodiment, the enclosed angle α extends towards at least part of the respective second side edge  2620   b  of at least one of the portions  2609   int  of the at least one of the provided elongate members  2604   int . In this example embodiment, at least one of the provided elongate members  2604   int  includes at least one corner  2630   b  (only one called out as shown in provided elongate member  2604   a   int ) formed by a convergence of the respective second side edge  2620   b  of the third portion  2609   c   int  of the at least one of the provided elongate members  2604   int  and the respective second side edge  2620   b  of the first portion  2609   a   int  of the at least one of the provided elongate members  2604   int . In this example embodiment at least one corner  2630   b  encloses an angle “β” extending across the front surface  2620   a  of the provided at least one of the provided elongate members  2604   int . In this example embodiment, each respective enclosed angle β extends towards the respective first side edge  2620   a  of at least one of the portions  2609   int  of the at least one of the provided elongate members  2604   int . In this example embodiment each of corners  2630   a ,  2630   b  encloses an obtuse angle. It is understood that other angles may be enclosed by various ones of corners  2630   a ,  2630   b  in other example embodiments. In this example embodiment, each of corners  2630   a  and  2630   b  is a filleted corner. Other shapes or forms may be employed by various ones of the corners  2630   a  and  2630   b  in other example embodiments. 
     In some embodiments, various flexible circuit structures are employed to provide at least a signal path between a plurality of transducers employed by a medical device and a transducer controller. In some example embodiments, at least some of the transducer elements are used to sense a physical characteristic of a fluid (i.e., blood) or tissue, or both, that may be used to determine a position or orientation (i.e., pose), or both, of a portion of a device in a bodily cavity (e.g., a left atrium). For example, some transducer elements may be used to determine a location of pulmonary vein ostia or a mitral valve in a left atrium. In some example embodiments, at least some of the transducer elements may be used to selectively ablate portions of a tissue surface within a bodily cavity. For example, some of the transducer elements may be used to ablate a pattern around various bodily openings, ports or pulmonary vein ostia, for instance to reduce or eliminate the occurrence of atrial fibrillation. In various embodiments, transducer elements can include at least one of an electrode and a sensing element. In various embodiments, at least some of the transducer elements are provided on, or by various ones of the flexible circuit structures. The flexible circuit structures the may be mounted or otherwise carried on a frame, or may form an integral component of the frame itself. The frame may be flexible enough to slide within a catheter sheath in order to be deployed percutaneously.  FIGS. 1, 2, 3, 4, 5, 6, 7 and 9  discussed previously show various example embodiments of such a frame. 
     In various example embodiments, the flexible circuit structures form part of a framed structure that is selectively movable between an unexpanded configuration in which respective portions of each of the flexible circuit structures are arranged successively along a first direction in a stacked arrangement sized to be percutaneously delivered through a bodily opening leading to a bodily cavity, and an expanded or fanned configuration in which the respective portions of the flexible circuit structures are angularly spaced with respect to one another about at least one axis. In some of these embodiments, each of the respective portions of at least some of the flexible printed circuit structures revolve, rotate, pivot or turn (used interchangeably herein) about at least one axis when the structure is moved between the unexpanded configuration and the expanded configuration. 
     In block  2706 , a plurality of flexible circuit structures  2680  are provided and a portion of each of the flexible circuit structures  2680  is secured to a respective one of the plurality of provided elongate members  2604   int . In this example embodiment, each flexible circuit structure  2680  is a flexible printed circuit board (PCB) structure.  FIG. 7H  is an isometric view of a representative one of the flexible circuit structures  2680 . Each flexible circuit structure  2680  includes at least one flexible material layer  2682 . In this example embodiment, each at least one flexible material layer  2682  includes an electrical insulator layer (e.g., polyimide). In a manner similar to each of the provided elongate members  2604   int , the at least one material layer  2682  includes a first end  2687 , a second end  2685 , a respective length  2681  between the first and the second ends,  2687 ,  2685 , a thickness  2683  and a front surface  2684   a  and a back surface  2684   b  opposite across the thickness  2683 . The at least one flexible material layer  2682  further includes a plurality of portions  2689  including a first portion  2689   a , a second portion  2689   b  and a third portion  2689   c  positioned between the first and the second portions  2689   a ,  2689   b . In this example embodiment, the second portion  2689   b  is laterally offset from the first portion  2689   a  along at least a portion of the respective length  2681  of the at least one material layer  2682 . In this example embodiment, each of the plurality of portions  2689  includes a respective pair of side edges  2686  including a first side edge  2686   a  (only one called out) arranged on a first side of the at least one material layer  2682  and a second side edge  2686   b  (only one called out) arranged on second opposite side of the at least one material layer  2682 . Each of the pair of side edges  2686  forms a portion of a periphery of at least one of the front surface and the back surface  2684   a  and  2684   b  of the at least one material layer  2682 . In this example embodiment, a portion of the periphery of at least one of the front surface and the back surface  2684   a ,  2684   b  of the at least one material layer  2682  is similar in shape to the periphery of at least one of the front surface and the back surface  2618   a ,  2618   b  of the provided elongate member  2604   int  to which the flexible circuit structure  2680  is to be secured. In this example embodiment, each of the second and the third portions  2689   b ,  2689   c  of the at least one material layer  2682  have a size and shape substantially similar to the second and the third portions  2609   b ,  2609   c  of the provided elongate member  2604   int  to which the flexible circuit structure  2680  is to be secured. In this example embodiment, the first portion  2689   a  of the at least one material layer  2682  is longer than the first portion  2609   a  of the provided elongate member  2604   int  to which the flexible circuit structure  2680  is to be secured. In other example embodiments, the at least one material layer  2682  may have different shapes and/or sizes than those illustrated. In this example embodiment, the lateral offset between the respective second and first portions  2689   b ,  2689   a  of each of the plurality of flexible circuit structures  2680  is generally similar to the lateral offset between the respective second and first portions  2609   b   int ,  2609   a   int  of a respective one of the provided elongate members  2604   int  to which the flexible circuit structure  2680  is to be secured. 
     Transducer elements (e.g., electrodes or sensors, or both) may be built on the flexible circuit structure  2680  using conventional printed circuit board processes. In this example embodiment, each of the flexible circuit structures  2680  includes at least one electrically conductive layer  2692 . In this example embodiment, the at least one electrically conductive layer  2692  is patterned to provide a portion of each of a set of transducer elements  2690  (two called out) and at least one electrically conductive trace  2694  on, at or carried by (i.e., directly or indirectly) a surface of the at least one material layer  2682 . In this example embodiment, the at least one electrically conductive trace  2694  is electrically connected to various ones of the transducer elements  2690  (i.e., only one in this illustrated embodiment). It is understood that other electrical traces, each connected to one or more of the plurality of transducer elements  2690  can be present in various embodiments. In this example embodiment, the at least one electrically conductive trace  2694  extends on the front surface  2684   a  of the at least one material layer  2682  along a path across parts of each of the first portion  2689   a , the third portion  2689   c  and the second portion  2689   b  of the at least one material layer  2682 . In this example embodiment, the at least one electrically conductive trace  2694  includes various jogged portions  2694   a  (one called out) as viewed perpendicularly to a portion of the front surface  2684   a  of the at least one material layer  2682  located at least proximate to a location on the front surface  2684   a  where the path extends across the third portion  2689   c  of the at least one material layer  2682 . In this example embodiment, the jogged portions  2694   a  are formed by a patterning process. In this example embodiment, the jogged portions  2694   a  are formed by employing flexible circuit patterning techniques. In other example embodiments, other techniques may be employed to form a jogged portion  2694   a  in the at least one electrically conductive trace  2694 . By way of non-limiting example, other techniques can include manipulation of the at least one material layer  2682  before, during or after the formation of the at least one electrically conductive trace  2694 . 
     Each of the flexible circuit structures  2680  can be secured to a respective one of the provided plurality of elongate members  2604   int  by various techniques. For example, in some embodiments, fasteners or fastening devices are employed. In some example embodiments, a flexible circuit structure  2680  is bonded to a respective one of the provided plurality of elongate members  2604   int  with an adhesive. The present inventors have created various assemblages by bonding polyimide and 17-7 stainless steel layers using LOCTITE® 4081 or LOCTITE® 435 medical device adhesives. Various factors such as, but not limited to, sterilization considerations, particulate generation, fastening reliability, etcetera can motivate the selection of a particular securement technique. 
     In block  2704 , at least one of the provided elongate members  2604   int  undergoes a first distortion or deformation process. In this particular embodiment, at least one of the provided elongate members  2604   int  is distorted or deformed prior to the securing of a flexible circuit structure  2680  to the at least one of the provided elongate members  2604   int  in block  2706 . The at least one of the provided elongate members  2604   int  may be distorted or deformed in various ways. In this example embodiment, the respective second portion  2609   b  of each of the provided elongate members  2604   int  is distorted or deformed to provide a coiled, scrolled or volute profile as shown in  FIG. 7I . Each respective second portion  2609   b   int  of the provided elongate members  2604   int  can be distorted or deformed using various bending or coiling mechanisms known in the art. For example, a particular second portion  2609   b   int  may be run through a series of rolls arranged to impart a desired profile onto the particular second portion  2609   b   int , especially when the desired profile is a coiled profile. 
       FIG. 7J  shows a portion of a flexible circuit structure  2680  that has been secured to the provided elongate member  2604   int  of  FIG. 7I  that has been distorted or deformed in accordance with block  2704 . In this example embodiment, a portion of the flexible circuit structure  2680  has been bonded to the provided elongate member  2604   int . In this example embodiment, a portion of the assemblage of the provided elongate member  2604   int  and flexible circuit structure  2680  provides the second portion  2609   b  generally with the desired coiled, scrolled or volute profile comprised by a respective one of the resulting elongate members  2604  shown in  FIG. 7A . It is noted that when compared with the coiled profile of the provided elongate member  2604   int  shown in  FIG. 7I , the assemblage of the provided elongate member  2604   int  and flexible circuit structure  2680  shown  FIG. 7J  has a larger coiled profile. The process of distorting or deforming the provided elongate member  2604   int  can impart significant stress on the elongate member  2604   int , sometimes deforming the elongate member  2604   int  well beyond a yield point of the elongate member  2604   int . Various factors may require that the coiled profile that is imparted to the provided elongate member  2604   int  as per block  2704  be made relatively smaller than the coiled profile that the provided elongate member  2604   int  has after the portion of the flexible circuit structure  2680  has been secured to the provided elongate member  2604   int  as shown in  FIG. 7J . For example, various material properties of the provided elongate member  2604   int  may have a bearing. The particular material properties of the provided elongate member  2604   int  can impart a certain amount of “spring-back” to the provided elongate member  2604   int . Soft materials typically have limited spring-back whereas relatively harder materials (e.g., metals employed in medical devices such as stainless steel, Nitinol) can have a substantially more spring-back. If a provided elongate member  2604   int  that included a material having a relatively high spring-back were to be distorted or deformed after the flexible circuit structure  2680  was bonded to the provided elongate member  2604   int , the small coiled profile (i.e., similar to that shown in  FIG. 7I ) that would be required to be imparted on the provided elongate member  2604   int /flexible circuit structure  2680  assemblage to account for the spring-back so as to form the coiled profile shown in  FIG. 7J  may impart substantially higher stress and strain rates on various features of the flexible circuit structure  2680  (e.g., the at least one electrically conductive trace  2694 ) than if the provided elongate member  2604   int  was distorted or deformed prior to the bonding of the at least one flexible circuit structure  2680  to the provided elongate member  2604   int  as per block  2706 . These higher stress and strain rates may increase the risk of failures of various elements of the flexible circuit structure  2680  such as the at least one electrically conductive trace  2694  and thereby result in a less robust and reliable device. Further, these resulting higher stress and strain rates may increase the chances of bonding failures when an adhesive is employed to secure a portion of the flexible circuit structure  2680  to the provided elongate member  2604   int  prior to distortion or deformation of the provided elongate member  2604   int . Another possible reason for pre-distorting or pre-deforming the provided elongate member  2604   int  prior to the securement of the flexible circuit structure  2680  is to provide a more uniform coiled profile. In some example embodiments, the stiffness of the flexible circuit structure  2680  may not be consistent along its respective length. For example, regions of the flexible circuit structure  2680  comprising transducer elements  2690  (only one called out in  FIG. 7J ) may be stiffer than other regions of the flexible circuit structure  2680  that do not include transducer elements  2690 . Coiling the provided elongate element  2604   int  after flexible circuit structure  2680  has been secured to the provided elongate element  2604   int  may result in an undesired “step-bent” profile along the length of the assemblage. 
     In block  2708 , at least one of the provided elongate members  2604   int  undergoes at least a second distorting or deforming process after the securement of a flexible circuit structure  2680  to the at least one of the provided elongate members  2604   int .  FIG. 7K  shows the provided elongate member  2604   int /flexible circuit structure  2680  assemblage of  FIG. 7J  additionally processed as per block  2708 . In this example embodiment, the respective third portion  2609   c   int  of each of various ones of the provided elongate members  2604   int  is distorted or deformed to rotationally offset the respective second portion  2609   b   int  of the respective provided elongate member  2604   int  from the respective first portion  2609   a   int  of the respective provided elongate member  2604   int  along the respective length  2611  (not called out) of the provided elongate member  2604   int . In this example embodiment, the respective third portion  2689   c  of the flexible printed circuit  2680  is also distorted or deformed to rotationally offset the second portion  2689   b  from the first portion  2689   a  of the flexible printed circuit  2680 . In various example embodiments, a distortion or deformation of a particular portion of a provided elongate member  2604   int  as per block  2708  can also result in a corresponding distortion or deformation to a portion of an associated one of the provided flexible circuit structures  2680 . 
     In this example embodiment, distorting or deforming the respective third portion  2604   c   int  of the provided elongate member  2604   int  to rotationally offset the respective second portion  2609   b   int  from the respective first portion  2609   a   int  along the respective length  2611  of the provided elongate member  2604   int  causes the respective third portion  2609   c   int  of the provided elongate member  2604   int  to have a twisted shape. The twisted shape can be imparted using various methods. In some example embodiments, a stamping or coining operation can be employed to impart the twisted shape onto the third portion  2609   c   int  of the provided elongate member  2604   int . It is noted that care may need to be taken to not damage components such as the flexible printed circuit structure  2680  during the distorting or deforming. In this example embodiment, distorting or deforming the respective third portion  2604   c   int  of the provided elongate member  2604   int  to rotationally offset the respective second portion  2609   b   int  from the respective first portion  2609   a   int  along the respective length  2611  of the provided elongate member  2604   int  includes twisting the respective third portion  2609   c   int  of the provided elongate member  2604   int  about a respective twist axis  2633  extending across at least part of the respective third portion  2609   c   int . In this example embodiment, the third portion  2689   c  of the at least one material layer  2682  of the flexible circuit structure  2680  also has a twisted shape. The twisted shape of the at least one third portion  2689   c  of the flexible circuit structure  2680  provides a relatively smooth and gradual transition for the at least one electrically conductive trace  2694  to follow along a path extending across the third portion  2689   c  between the first and the second portions  2689   a ,  2689   b  of the at least one material layer  2682 . In some example embodiments, the jogged portion  2694   a  of the at least one electrically conductive trace  2694  is visible when viewed normally to a portion of the front surface  2684   a  of the at least one material layer  2682  located at least proximate to a location on the front surface  2684   a  of the at least one material layer  2682  where the path extends across the third portion  2689   c.    
     In some example embodiments, the twist in the third portion  2609   c   int  of a provided elongate member  2604   int  can be arranged to cause the second portion  2609   b   int  of the provided elongate member  2604   int  to assume a skewed orientation with respect to the first portion  2609   b   int  of the provided elongate member  2604   int  similar to that exemplified by the representative elongate member  2604  shown in  FIG. 7B . In some example embodiments, additional or alternate distortions or deformations can also be made to various ones of the provided elongate members  2604   int . For example, as shown in  FIG. 7K , the respective first portion  2609   a   int  of the provided elongate member  2604   int  (i.e., including the respective first portion  2689   a  of the secured flexible circuit structure  2680 ) is bent about a respective bending axis  2631  to cause the second portion  2609   b   int  of the provided elongate member  2604   int  to assume at least in part, a required fanned orientation as exemplified by the representative elongate member  2604  shown in  FIG. 7B . 
     In this example embodiment, each respective bending axis  2631  has a skewed orientation with respect to the respective side edges  2620  of the first portion  2609   a   int  of the provided elongate member  2604   int . Each respective bending axis  2631  is skewed to cause at least the respective second portions  2609   b  of the resulting elongate members  2604  to fan about the one or more fanning axes  2635  which is/are in turn, oriented to intersect the second portions  2609   b  of the resulting elongate members  2604  at locations at least proximate to at least some of the number of crossing locations when various ones of the resulting elongate members  2604  are fanned in a manner similar to that shown in  FIG. 7E . If the respective bending axes  2631  were not so oriented, additional forces could be required to distort or deform at least a portion of the stacked elongate members  2604  to accommodate possible fanning misalignment. In such a case, some of the elongate members  2604  may be required to undergo additional bending, twisting or combined bending and twisting to correct for misalignment and produce the desired fanned arrangement. The amount of skew of each bending axis  2631  is typically dependent on the various geometric factors including, but not limited to, the relative lengths of various ones of the portions  2609  of each of the elongate members. The present inventors have produced elongate members  2604  whose first portions  2609   a  are bent about a respective bending axis  2631  skewed by approximately 22 degrees in some example embodiments. 
     The assemblage of the provided elongate member  2604   int /flexible circuit structure  2680  shown in  FIG. 7K  may be processed into an elongate member  2604  as represented in  FIG. 7B . In block  2710 , various ones of the provided elongate member  2604   int /flexible circuit structure  2680  assemblages are arranged into an arrangement similar to that shown in  FIG. 7A . 
     In this example embodiment, the twisted shape of the third portion  2609   c  of each elongate member  2604  arranged in the initial configuration shown in  FIG. 7A  advantageously allows various transducer elements  2690  (not shown in  FIG. 7A ) positioned on respective front faces  2618   a  of the elongate members  2604  to be appropriately oriented to face an interior tissue surface within a bodily cavity (not shown) when the portion of device  2600  is moved into the third/expanded configuration (i.e.,  FIGS. 7E and 7F ). In this example embodiment, the twisted shape of the third portion  2609   c  of each elongate member  2604  arranged in the initial configuration shown in  FIG. 7A  advantageously orients the respective first portions  2609   a  of the elongate members  2604  to act as flexures which allow the respective second portions  2609   b  of the elongate members  2604  to fan and distribute the transducer elements  2690  across an interior tissue surface when the portion of device  2600  is moved into the third/expanded configuration (i.e.,  FIGS. 7E and 7F ) within a bodily cavity having the interior tissue surface. The bent first portions  2609   a  further advantageously allow for some degree of autonomous fanning capability and may possibly reduce the need for additional fanning mechanisms or the complexity thereof. In this example embodiment, the twisted shape of the third portion  2609   c  of each elongate member  2604  arranged in the initial configuration shown in  FIG. 7A  advantageously allows at least one electrically conductive trace  2694  (not shown in  FIG. 7A ) to extend along a path having a relatively smooth and gradual transition between the first and the second portions  2609   a ,  2609   b  of the elongate member  2604  while reducing potentially harmful bending stresses acting on the at least one electrically conductive trace  2694  during the fanning of the elongate member  2604 . 
     In some example embodiments, each of the third portions  2609   c  has a twisted form sufficient to rotationally offset the respective second portion  2609   b  from the respective first portion  2609   a  by a same angular amount for each of the plurality of the provided elongate members  2604 . In other example embodiments, different ones of the elongate members  2604  employ different rotational offsets along their respective lengths  2611 . The use of different rotational offsets may be motivated by various factors. For example, when skewed bending axes  2631  are employed to cause the fanning of the various portions  2609  as described above, bending about the skewed bending axes  2631  can also impart a twist during the fanning. The twisted form of the respective third portion  2609   c  can be adjusted to compensate for the additional twist that arises during fanning. In some example embodiments, the amount of additional twist typically varies based at least on the position of the elongate member  2604  in the arrayed arrangement of elongate members  2604 . In this example embodiment, a first set of elongate members  2604   a ,  2604   b , and  2604   c  is fanned along an opposite direction from a second set of elongate members  2604   e ,  2604   f  and  2604   g . However, since the rotational offsets between the respective first and second portions  2609   a ,  2609   b  of each elongate member  2604  are along the same direction (i.e., each third portion  2609   c  is twisted in a same direction), the additional twist created by the bending about the respective skewed bending axes  2631  will decrease the rotational offset of the elongate members  2604  in one of the first set and the second set while increasing the rotational offset of the elongate members  2604  in the other of the first and second set during the fanning. The present inventors have created arrangements of elongate members  2604  with rotational offsets between the respective first and the second portions  2609   a ,  2609   b  varying from approximately 90 degrees to 70 degrees to compensate for an additional increase or decrease in the rotational offset of each elongate member  2604  that results from bending about the respective skewed bending axes  2631  during fanning. 
     In this example embodiment, the respective first and second portions  2609   a ,  2609   b  of the elongate members  2604  are arranged in the delivery configuration illustrated in  FIG. 7C  by arranging respective first portions  2609   a  of the elongate members  2604  front face  2618   a -toward-back face  2618   b  along a first direction (i.e., arrow  2616   a ) in a first stacked array  2615   a  and arranging the respective second portions  2604   b  of the elongate members  2604  front surface  2618   a -toward-back surface  2618   b  along a second direction (i.e., arrow  2616   b ) in a second array  2615   b . The spatially efficient stacked arrays  2615   a ,  2615   b  advantageously allow for catheter sheaths  2606  of reduced size to be employed while the non-parallel first and second directions (i.e., arrows  2616   a ,  2616   b ) of the stacked array allow for various benefits including those described above. Ideally, the twisted third portions  2609   c  of the elongate members should also be efficiently arrayed, stacked or nested so as to not negate the spatial efficiency advantages provided by each of the first and the second stacked arrays  2615   a ,  2615   b.    
       FIG. 7L  is a side elevation view of an arrangement of stacked elongate members  2604  (i.e., in a configuration similar to the delivery configuration shown in  FIG. 7C ) in which the third portions  2609   c  (only one called out) of each elongate member  2604  is twisted to allow the third portions  2609   c  to be nested in a stacked arrangement with substantially similar overall cross-sectional stack dimensions as those of the first stacked array  2615   a  and the second stacked array  2615   b . A cross-sectional view A-A of the stacked elongate members  2604  of  FIG. 7L  through first stacked array  2615   a  is provided by  FIG. 7L  (A-A). A cross-sectional view B-B of the stacked elongate members  2604  of  FIG. 7L  through the twisted third portions  2609   c  is provided by  FIG. 7L  (B-B). A cross-sectional view C-C of the stacked elongate members  2604  of  FIG. 7L  through second stacked array  2615   b  is provided by  FIG. 7L  (C-C). In this example embodiment, second portions  2609   b  (only one called out in  FIG. 7L  (C-C) are rotationally offset by less than 90 degrees from their respective first portions  2609   a  (only one called out in  FIG. 7L  (A-A). A comparison of each of  FIGS. 7L  (A-A),  7 L (B-B), and  7 L (C-C) shows that a reference circle  2625  representing a catheter sheath  2606  dimension sized to just enclose each of the first and second stacked arrays  2615   a ,  2615   b  also advantageously encloses the twisted portions  2609   c . Each of the elongate members  2604  are shown spaced from one another in each of  FIGS. 7L  (A-A),  7 L (B-B), and  7 L (C-C) for clarity. Ideally, reduced spacings are desired to accommodate the smallest sized catheter sheath possible. 
       FIG. 7M  provides respective side and end elevation views of each of the elongate members  2604  shown in  FIG. 7L  but separated from one another for clarity. Each of the first portions  2609   a  (only one called out) and the second portions  2609   b  (only one called out) is additionally shown unbent for clarity. Center  2625   a  is provided in the end view of each elongate member  2604  to reference a position of each of the elongate members  2604  when stacked as per  FIG. 7L . The respective end views in  FIG. 7M  show that the respective first and second portions  2609   a ,  2609   b  of each elongate member  2604  require a different positioning with respect to center  2625   a  based on the required position of the elongate member  2604  in the arrayed arrangement shown in  FIG. 7L . Accordingly, the twisted form of the third portion  2609   c  (only one called out) of each elongate member  2604  will also vary based on the required position of the elongate member  2604  in the arrayed arrangement shown in  FIG. 7L . In this example embodiment, each elongate member  2604  of at least some of the elongate members  2604  (i.e., elongate members  2604   a ,  2604   b ,  2604   c ,  2604   e ,  2604   f  and  2604   g ) has a form that in the absence of the twist in the respective third portion  2609   c  of the elongate member  2604 , the plurality of portions  2609  of the elongate member  2604  are arranged such that the second portion  2609   b  of the elongate member  2604  is laterally offset from the first portion  2609   a  of the elongate member  2604  across at least a portion of the respective length  2611  of the elongate member  2604 . This is best visualized in  FIG. 7G , in which the respective second portions  2609   b   int  of various ones of the provided elongate members  2604   int  (i.e., from which the elongate members  2604  are produced from in this example embodiment) are laterally offset from the respective first portions  2609   a   int  of the provided elongate members  2604   int . In this example embodiment, the amount of lateral offset varies for each provided elongate member  2604   int  based at least on the intended position of the provided elongate member  2604   int  in the arrayed arrangement shown in  FIG. 7L . 
     Example embodiments in which an inherent lateral offset exists between the respective second and first portions  2609   b ,  2609   a  of various ones of the elongate members  2604  in the absence of the required twist in the respective third portion  2609   c  allow the respective third portions  2609   c  when actually twisted to be stacked into a stacked array suitably sized to fit within catheters sheaths  2606  of reduced size (e.g., with respect to conventional catheter sheaths used for similar procedures) while still properly arranging the respective first and second portions  2609   a ,  2609   b  of the elongate members  2604  into the corresponding first and second stacked arrays  2615   a ,  2615   b  which are also suitably sized to fit in the catheter sheaths  2606  of reduced size. It is additionally noted that significant departures from these twist forms may cause the third portions  2609   c  of the elongate members to not nest well and thereby adversely impact the ability to pass the stacked third portions  2609   c  through catheter sheaths  2606  of reduced size. 
     In some example embodiments, the twisted third portions  2609   c  of the elongate members  2604  may be efficiently nested in a stacked arrangement with substantially similar overall cross-sectional stack dimensions as those of the first stacked array  2615   a  and the second stacked array  2615   b  while each twisted third portion  2609   c  maintains a cross-sectional shape having dimensions on the same order as those of the cross-sectional shape of respective ones of the first and the second portions  2609   a ,  2609   b . This may be motivated for different reasons including employing twisted third portions  2609   c  which maintain a required width dimension sufficient to route the electrically conductive traces  2694  or that provided sufficient strength to address strength considerations while still allowing the stacked arrangement of the third portions  2609   c  to fit within catheter sheaths  2606  of reduced size. In some example embodiments, the cross-sectional shape of each twisted third portion  2609   c  remains fairly uniform, but with a different rotational alignment as the length of the twisted third portion  2609   c  is traversed between the rotationally offset first and second portions  2609   a ,  2609   b . In some embodiments, each of the twisted third portions  2609   c  of the elongate members  2604  includes a substantially similar twist rate (i.e., turns/unit length). In some embodiments, each of the twisted third portions  2609   c  of the elongate members  2604  is twisted about a respective twist axis  2633 , with each respective twist axis  2633  being substantially parallel to the each of the other respective twist axes  2633 . 
     In this example embodiment, the provided elongate members  2604   int  are strip-like members that are twisted to form the respective ones of the elongate members  2604 . As shown in  FIG. 7G , in the absence of the twist, the respective third portion  2609   c   int  of each of the provided elongate members  2604   int  has a serpentine or “S” shape whose form varies depending on the geometry of the final stacked arrangement shown in  FIG. 7L  and the intended position of the provided elongate member  2604   int  in the arrayed arrangement shown in  FIG. 7L . This serpentine or “S” shape allows for reduced strain during the distortion or deformation that accompanies the twisting of the provided elongate member  2604   int . If the respective third portion  2609   c   int  of a provided elongate member  2604   int  included a significantly different shape (e.g., a linear strip with no lateral offset between the respective second and first portions  2609   b   int ,  2609   a   int ) and was distorted or deformed to create the required twist shape (i.e., as described above), much higher strains would be imparted onto the provided elongate member  2604   int  as various additional bending components perpendicular to various ones of the surfaces  2618   a ,  2618   b  of third portion  2609   c   int  would be required to produce the required twisted shape. In some cases, the resulting increased strains may be greater than the provided elongate member  2604   int  can tolerate. These distortion or deformation criteria are especially relevant for the provided elongate members  2604   int  (i.e., elongate members  2604   a   int ,  2604   b   int ,  2604   f   int  and  2604   g   int ) that are provided to form the outermost elongate members  2604  in the arrayed arrangement shown in  FIG. 7L  since each of these provided elongate members  2604   int  would require the greater amounts of distortion or deformation to form the required twisted shape. In some cases however, the provided elongate members  2604   int  that are provided to form some of the innermost elongate members  2604  in the arrayed arrangement shown in  FIG. 7L  (e.g., provided elongate members  2604   c   int ,  2604   d   int ) may be tolerant to increased strains if the shape of the respective third portions  2609   c   int  of these provided elongate members  2604   int  deviated from the serpentine or “S” shape described above since little lateral offset is required between the respective first and second portions  2609   a   int ,  2609   b   int  of these provided elongate members  2604   int  as shown in  FIG. 7G . In some embodiments, some of the innermost elongate members  2604  such as elongate members  2604   c  and  2604   e  may be formed from relatively straight strip-like members with no lateral offset between their respective second and first portions  2609   b ,  2609   a  as appears to be shown by Redmond et al. in U.S. Pat. Nos. 5,245,987 and 5,390,644. It is noted however that the distortion or deformation of provided elongate members  2604   int  not having laterally offset second and first portions  2609   b   int ,  2609   a   int  would not be suitable for the outermost elongate members  2604  in various arrangements such as those shown in  FIG. 7L . It is noted however that the distortion or deformation of provided elongate members  2604   int  not having laterally offset second and first portions  2609   b   int ,  2609   a   int  would not be suitable for the outermost elongate members  2604  in stacked arrangements having relatively large number of elongate members (e.g., more than three) when it is desired to reduce the overall cross-sectional size of the arrangements. 
     In some example embodiments, method  2700  employs a subset of the blocks described. In some example embodiments, method  2700  may include additional/and or alternate processes. Method  2700  describes various processes that distort or deform a shape of the third portion  2609   c   int  of various ones of the provided elongate members  2604   int  into a desired twisted shape. The twisted shape of the third portions  2609   c  of elongate members  2604  employed in other example embodiments can be formed by other manufacturing processes including, but are not limited to, materials removal processes (e.g., machining), material joining processes (e.g., welding, brazing, bonding), casting or molding processes, or combination thereof. Regardless of the process employed, the resulting elongate members  2604  are characterized in that in the absence of the twist in their respective third portions  2609   c , their respective first, second and third portions  2609   a ,  2609   b  and  2609   c  may combine to form a unitary structure in which each respective second portion  2609   b  is not rotationally offset from the respective first portion  2609   a  along the respective length  2611  of the elongate member  2604  but is laterally offset from the first portion  2609   a  along at least a portion of the respective length  2611  of the elongate member  2604 . 
     While some of the embodiments disclosed above are described with examples of cardiac mapping, the same or similar embodiments may be used for mapping other bodily organs, for example gastric mapping, bladder mapping, arterial mapping and mapping of any lumen or cavity into which the devices of the present invention may be introduced. 
     While some of the embodiments disclosed above are described with examples of cardiac ablation, the same or similar embodiments may be used for ablating other bodily organs or any lumen or cavity into which the devices of the present invention may be introduced. 
     As used herein and in the claims, the term “spatial plane” and variations thereof such as “spatial planes” or “plane” may mean an imaginary plane having either zero or infinitesimal thickness. 
     Subsets or combinations of various embodiments described above can provide further embodiments. The various embodiments described above can be combined to provide further embodiments. U.S. provisional patent application Ser. No. 61/435,213 filed Jan. 21, 2011; U.S. provisional patent application Ser. No. 61/485,987 filed May 13, 2011; U.S. provisional patent application Ser. No. 61/488,639 filed May 20, 2011; U.S. provisional patent application Ser. No. 61/515,141 filed Aug. 4, 2011; International patent application Serial No. PCT/US2012/022061 with International filing date of Jan. 20, 2012; International patent application Serial No. PCT/US2012/022062 with International filing date of Jan. 20, 2012; U.S. Patent Application Publication 2008/0004534 A1; and U.S. Patent Application Publication 2009/0131930 A1, are each incorporated by reference herein, in their entireties. Aspects of the invention can be modified, if necessary, to employ systems, circuits and concepts of the various patents, applications and publications to provide yet further embodiments of the invention. 
     These and other changes can be made to the invention in light of the above-detailed description. In general, in the following claims, the terms used should not be construed to limit the invention to the specific embodiments disclosed in the specification and the claims, but should be construed to include all medical treatment devices in accordance with the claims. Accordingly, the invention is not limited by the disclosure, but instead its scope is to be determined entirely by the following claims.