bluuebunny/crossref_metadata_2025 huggingface dataset:
Estimation of the Rotational Undamped Natural Frequency of Bileaflet Cardiac Valve Prostheses
Authors: Reif T. H. , Schulte T. J. , Hwang N. H. C.
Published: March 2008

The angular momentum balance is solved numerically for a size 29 mm CarboMedics prosthetic heart valve. The lift force is estimated from potential flow theory, while the drag force is estimated from the lift force and a blunt body empiricism. Buoyancy and gravitational effects are calculated based on the assumption of homogeneous leaflets. Other assumptions include uniform flow, negligible friction at the pivot axis, negligible viscous damping and fluid inertance, and a symmetry flow condition. Oscillations are predicted in the opening dynamics in the range of 2–25 Hz, for flow rates through one-half of the orifice in the range of 0.1–10.0 l/min. The frequency of these oscillations is dependent upon the orientation of the leaflet in relation to the gravitational field and the magnitude of the flow rate. In vivo and in vitro measurements by other investigators demonstrate similar effects of gravity and flow rate, with flutter frequencies of the order of 10–100 Hz. Excitation frequencies, based on vortex shedding, are estimated to be of the order 2–200 Hz, for the range of flow rates of the theoretical model. These results suggest that the natural frequency of this rotational second order system may, in theory, be a contributing factor to the flutter observed in bileaflet cardiac valve prostheses. The clinical significance of this finding is yet to be established.
Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation
Authors: Humphrey J. D. , Strumpf R. K. , Yin F. C. P.
Published: March 2008

In the first paper of this series, we proposed a new transversely isotropic pseudostrain-energy function W for describing the biomechanical behavior of excised noncontracting myocardium. The specific functional form of W was inferred directly from biaxial data to be a polynomial function of two coordinate invariant measures of the finite deformation and five material parameters. In this paper, best-fit values of the material parameters are determined from biaxial data using a nonlinear least-squares regression. These values of the parameters are shown to be well-determined, and the final constitutive relation is shown to have good predictive capabilities. Since the proposed constitutive relation describes much broader classes of in-vitro biaxial data than previously proposed relations, it may be better applicable to analyses of stress in the passive heart.
Design Optimization of a Prosthesis Stem Reinforcing Shell in Total Hip Arthroplasty
Authors: de Beus A. M. , Hoeltzel D. A. , Eftekhar N. S.
Published: March 2008

The use of a perforated, titanium funicular shell to support the proximal femoral cortex in total hip arthroplasty was evaluated with the aid of both analytical and numerical techniques. The principal interactions between the femoral cortex, the metal shell, the implant stem and the acrylic bone cement were modeled using beam on elastic foundations theory and two-dimensional elasticity theory. Subsequent formulation of this model as a nonlinear design optimization problem enabled the determination of the dimensions of the implant and reinforcing shell which minimized an objective function based on a simplified material failure criterion. Two cases were examined, each with two cervico-diaphyseal angles: case A: with a rigid contact between a proximal prosthesis collar and the calcar femorale and case B: no collar contact (a collarless prosthesis or post-operative loosening). Case A achieved an optimal solution at a stem diameter 11–23 percent of the cortex inner diameter, a stem length to diameter ratio of 12–40, shell diameter 22–53 percent and thickness 0.2–7.2 percent of the cortex inner diameter and thickness, respectively. Case B achieved an optimal solution at a stem diameter 67–92 percent of the cortex inner diameter, length to diameter ratio of 4–6, and no shell. In case A the collar support makes the type of internal fixation unimportant, while in the more realistic case B, the shell is not recommended.
Analytical Method for the Analysis and Simulation of Human Locomotion
Authors: Amirouche F. M. L. , Ider S. K. , Trimble J.
Published: March 2008

An all purpose computer algorithm used in the analysis and simulation of human locomotion is presented. The utility of the program “DYAMUS” stems from its simplicity in defining the initial configuration of the human model through a configuration graph called the “tree-array,” and the handling of individual cases of human locomotion through separate sets of constraints conditions. Both the forward and inverse dynamical problems are presented together with the accommodation of kinematical experimental data. Closed-loops, linear and nonlinear springs and dampers at the joints, friction forces, and other external forces are easily incorporated. The selection of mathematical constraint equations to predict the human behavior during normal walking (gait) is presented. The intention of this paper is to emphasize how the constraints equations play a major role in the simulation of human locomotion once the dynamical equations of motion for a particular model are developed.
The Use of a Laser Micrometer System to Determine the Cross-Sectional Shape and Area of Ligaments: A Comparative Study With Two Existing Methods
Authors: Woo Savio L.-Y. , Danto Michael I. , Ohland Karen J. , Lee Thay Q. , Newton Peter O.
Published: March 2008

Determination of the tensile stresses in ligaments and tendons during uniaxial loading depends on accurate measurement of the cross-sectional area. In this study, a laser micrometer system was employed to evaluate the cross-sectional shape and area of the medial collateral ligament (MCL) at three locations and anterior cruciate ligament (ACL). In a New Zealand White (NZW) rabbit, morphologic sections of the ligaments were made to verify the cross-sectional shape reconstructed by the laser micrometer system. The areas obtained by the laser micrometer system from ten additional NZW rabbits were compared with those obtained by two other methods commonly used to measure the cross-sectional area of ligaments and tendons: one method uses digital calipers and the other a constant pressure (0.12 MPa) area micrometer. For the MCL, the digital calipers yielded results very similar to those of the laser micrometer, but the constant pressure area micrometer yielded values 20 percent lower. The area measured at the proximal site of the MCL was 13 percent greater than the area measured at the joint line and distal line. For the ACL, the values obtained by the digital calipers and constant pressure area micrometer were 16 and 20 percent lower, respectively. Because of the irregular shape exhibited by the rabbit ACL, the digital calipers could not accurately measure the crosssectional area. The constant pressure area micrometer yielded lower values for the cross-sectional area of both the MCL and ACL, presumably due to the applied pressure which caused changes in both the cross-sectional shape and area.
Possible Role of Stresses in Inducing Spinal Stenosis—A Long Term Complication Following Disk Excision
Authors: Goel Vijay K. , Kim Young E. , Lim Tae-H.
Published: March 2008

A three-dimensional finite element model of an intact ligamentous lumbar motion segment (L3-4) was used to predict stresses in the pars interarticularis regions of the modeled vertebral bodies. The changes in stresses following disk excision, as compared to the intact model, also were computed. The predicted results show an increase in stresses in the posterior bony elements following disk excision. In some patients over a long period of time this increase in stresses, in association with other clinical factors, may lead to bony hypertrophy of the structures that surround the nerve roots. Ultimately, over a long period of time the increase in pressure on the entrapped nerve root may induce recurrent pain and other complications reported in the literature.
Incorporation of Spinal Flexibility Measurements Into Finite Element Analysis
Authors: Gardner-Morse Mack G. , Laible Jeffrey P. , Stokes Ian A. F.
Published: March 2008

This technical note demonstrates two methods of incorporating the experimental stiffness of spinal motion segments into a finite element analysis of the spine. The first method is to incorporate the experimental data directly as a stiffness matrix. The second method approximates the experimental data as a beam element.
Optimization of Human Endothelial Cell Attachment to Vascular Graft Polymers
Authors: Jarrell B. E. , Williams S. K. , Rose D. , Garibaldi D. , Talbot C. , Kapelan B.
Published: March 2008

Endothelial cells (EC) covering the blood-contacting surface of a prosthetic material could potentially enhance the subsequent nonthrombogenicity of the surface. In order to create such a surface, the EC must become attached to the surface, spread and ultimately form a monolayer. In this study we examined several factors that influence these processes. On ePTFE surfaces, surface pretreatment with human serum for 30 minutes at a concentration of 1.4 gm percent protein resulted in significantly more attached EC when compared to other concentrations or when compared to fetal calf serum or human serum albumin. The rate of EC spreading was strongly influenced by temperature, with a maximum occurring at 37°C. During real-time video microscopy, it was noted that the rate of EC attachment and spreading was primarily dependent on arrival of the EC to the surface rather than attachment and spreading. Thus as a method of increasing EC delivery, the concept of filtering EC onto the graft lumenal surface was tested by pressurizing the graft lumen to speed EC delivery to the surface. This technique produced a 2 to 5-fold increase in EC attachment when compared to gravity forced cell deposition. We conclude that an ePTFE graft can be rapidly endothelialized using these simple measures.
Gas Transport in Serpentine Microporous Tubes Under Steady and Pulsatile Blood Flow Conditions
Authors: Tanishita Kazuo , Ujihira Masanobu , Watabe Akihisa , Nakano Kunio , Richardson Peter D. , Galletti Pierre M.
Published: March 2008

A serpentine gas exchange unit was built with cylindrical tubular microporous membranes featuring periodic arcs with a fixed curvature ratio (ratio of tube radius to radius of curvature) of 1/14 and circular angles between 30 and 360 deg. Oxygen transfer was measured under steady and pulsatile blood flow conditions in vitro and ex vivo to assess the design features which most effectively augment gas transfer. Under steady blood flow conditions, oxygen transfer increased with circular angles beyond 70 deg. Under pulsatile conditions, a wide range of geometrical and fluid mechanical parameters could be combined to enhance gas transfer performance, which eventually depended upon the secondary Reynolds number and the Womersley parameter.
The Isometric Action of the Forearm Muscles
Authors: Nathan R. H.
Published: March 2008

The isometric forces and moments generated at the hand segment by thirteen of the forearm muscles were measured on three test subjects. Small bipolar surface electrodes were used to activate each muscle separately. The direction of the force vector generated at the fingertips and the percentage torque generated about the longitudinal axis of the hand segment were measured and were modeled for one subject as a parabolic function of the position of the wrist and radioulnar joints in their ranges of motion. The results exhibited a high standard deviation. It is proposed that a significant component of this standard deviation is inherent in the biomechanics of the musculo-skeletal system. Variations in the test protocol were used to test this hypothesis. The standard deviation was found to be significantly larger in the flexor muscles than the extensors. It was concluded that the stability and elasticity of the soft tissue structures in the region of the wrist joint may significantly influence the direction of the generated joint moment vector.
Characterization of Collagen Fiber Architecture in the Canine Diaphragmatic Central Tendon
Authors: Sacks M. S. , Chuong C. J.
Published: March 2008

The diaphragmatic central tendon (DCT), a collagenous soft tissue membrane, acts as a mechanical buffer between the costal and crural muscles. Its direction of mechanical anisotropy has been shown to correspond to the collagen fiber preferred directions [1]. These preferred directions were determined by gross histological examination, and were thus qualitative. In this work we quantified the collagen fiber architecture throughout the DCT using small angle light scattering (SALS). Helium-Neon laser light was passed through tendon specimens and the resultant scattered light distribution, which characterized the local collagen fiber architecture, was recorded with a linear array of five photodiodes. Throughout the DCT two distinct collagen fiber populations were consistently found. For each population three parameters were determined: 1) the preferred directions of collagen fibers, 2) the volume fraction (Vf) of fibers, 3) OI, an orientation index, which ranges from 0 percent for a random network to 100 percent for a perfectly oriented network. Vector maps were used to display results from 1) and 2), and showed a primary group (G1) going from the crural to costal muscles and a secondary one (G2) running perpendicular to G1. Comparisons of Vf between G1 and G2 showed that G1 contained about three times as many fibers as G2, a ratio similar to that found for the degree of mechanical anisotropy [1]. OI were found to be about 60 percent, indicating a high degree of orientation, with no significant regional or population differences (p<0.05). These quantitative results suggest that throughout the DCT the degree of mechanical anisotropy is controlled exclusively by Vf.
A Finite Element Analysis of the Indentation Stress-Relaxation Response of Linear Biphasic Articular Cartilage
Authors: Spilker Robert L. , Suh Jun-Kyo , Mow Van C.
Published: March 2008

The indentation problem of a thin layer of hydrated soft tissue such as cartilage or meniscus by a circular plane-ended indenter is investigated. The tissue is represented by a biphasic continuum model consisting of a solid phase (collagen and proteoglycan) and a fluid phase (interstitial water). A finite element formulation of the linear biphasic continuum equations is used to solve an axisymmetric approximation of the indentation problem. We consider stress-relaxation problems for which analytic solution is intractable; where the indenter is impermeable (solid) and/or when the interface between the indenter and tissue is perfectly adhesive. Thicknesses corresponding to a thin and thick specimen are considered to examine the effects of tissue thickness. The different flow, pressure, stress and strain fields which are predicted within the tissue, over time periods typically used in the mechanical testing of soft tissues, will be presented. Results are compared with the case of a porous free-draining indenter with a perfectly lubricated tissue-indenter interface, for which an analytic solution is available, to show the effects of friction at the tissue-indenter interface, and the effects of an impermeable indenter. While these effects are present for both thin and thick tissues, they are shown to be more significant for the thin tissue. We also examine the effects of the stiffness of the subchondral bone on the response of the soft tissue and demonstrate that the subchondral bone substrate can be modeled as a rigid, impermeable boundary. The effects of a curved tissue-subchondral bone interface, and the early time response are also studied. For physiologically reasonable levels of curvature, we will show that the curved tissue-subchrondral bone interface has negligible influence on the tissue response away from the interface. In addition, the short-time stress-relaxation responses of the tissue (e.g., at times less than 1s) demonstrate the essential role of the fluid phase in supporting the load applied to the tissue, and by extrapolation to shorter times characteristics of normal joint motion, suggest the essential role of a biphasic model in representing soft tissue behavior in joint response.
Strip Extensiometry for Comparison of the Mechanical Response of Bovine, Rabbit, and Human Corneas
Authors: Hoeltzel David A. , Altman Peter , Buzard Kurt , Choe Kang-il
Published: March 2008

Specimens of bovine, rabbit, and human corneas were systematically tested in uniaxial tension to experimentally determine their effective nonlinear stress-strain relations, and hysteresis. Cyclic tensile tests were performed over the physiologic load range of the cornea, up to a maximum of 10 percent strain beyond slack strain. Dimensional changes to corneal test specimens, due to varying laboratory environmental conditions, were also assessed. The measured stress-strain data was found to closely fit exponential power function relations typical of collagenous tissues when appropriate account was taken of specimen slack strain. These constitutive relations are very similar for rabbit, human and bovine corneas; there was no significant difference between the species after preconditioning by one cycle. The uniaxial stress strain curves for all species behave similarly in that their tangent moduli increase at high loads and decrease at low loads as a function of cycling. In the bovine and rabbit data, there is a general trend towards more elastic behavior from the first to second cycles, but there is little variation in these parameters from the second to third cycles. In comparison, the human data demonstrates relatively little change between cycles. Increases in width of corneal test specimens, up to a maximum of 2 percent were found to occur under 95 percent relative humidity test conditions over 10 minutes elapsed time test periods, while specimens which were exposed to normal laboratory conditions (45 percent RH) were found to shrink in width up to a maximum of 9.5 percent over the same elapsed time period. The thickness of the test specimens were observed to decrease by 3 percent in 95 percent relative humidity and by 12 percent in 45 percent relative humidity over the same elapsed time period.
Flow Measurements in a Highly Curved Atherosclerotic Coronary Artery Cast of Man
Authors: Back L. H. , Liem T. K. , Kwack E. Y. , Crawford D. W.
Published: March 2008

Flow visualization and wall pressure measurements were made in a polyurethane cast of a cadaver coronary artery with a significant “s” shaped reverse curvature. A sucrose solution was used to simulate the kinematic viscosity of blood, with flow rates in the physiologic range. Flow visualization demonstrated significant secondary flow patterns in the wall vicinity, which increased with increasing Reynolds number. Random dye dispersion was observed at a Reynolds number of about 400, but not at 200. Dye filament patterns in the transition between the first and second curved region were predominantly influenced by the second curved region at lower Reynolds numbers, and by the first curved region at higher Re. Local wall pressure measurements demonstrated a significant centrifugal effect with large radial pressure differences across the casting. Flow resistances for the casting were considerably greater than reference Poiseuille flow values, and increased further with pulsatile flow.
Thermal Injury Kinetics in Electrical Trauma
Authors: Tropea B. I. , Lee R. C.
Published: March 2008

The distribution of electrical current and the resultant Joule heating in tissues of the human upper extremity for a worst-case hand-to-hand high-voltage electrical shock was modelled by solving the Bioheat equation using the finite element method. The model of the upper extremity included skin, fat, skeletal muscle, and bone. The parameter sets for these tissues included specific thermal and electrical properties and their respective tissue blood flow rates. The extent of heat mediated cellular injury was estimated by using a damage rate equation based on a single energy barrier chemical reaction model. No cellular injury was assumed to occur for temperatures less than 42°C. This model was solved for the duration of Joule heating required to produce membrane damage in cells, termed the lethal time (of contact) for injury. LT’s were determined for contact voltages ranging from 5 to 20 kV. For a 10,000 volt electrical shock LT’s for skeletal muscle are predicted to be: 0.5 second in the distal forearm, 1.1 second in the mid-forearm, 1.2 second in the proximal elbow, and 2.0 seconds in the mid-arm. This analysis of the electrical shock provides useful insight into the mechanisms of resultant tissue damage and provides important performance guidelines for the development of safety devices.
Sensitivity of Muscle Force Estimations to Changes in Muscle Input Parameters Using Nonlinear Optimization Approaches
Authors: Herzog Walter
Published: March 2008

The purpose of this study was to analyze the sensitivity of muscle force calculations to changes in muscle input parameters. Force sharing between two synergistic muscles was derived analytically for a one-degree-of-freedom system using three nonlinear optimization approaches. Changes in input parameters that are within normal anatomical variations often caused changes in muscular forces exceeding 100 percent. These results indicate that errors in muscle force calculations may depend as much on inadequate muscle input parameters as they may on the choice of the objective and constraint functions of the optimization approach.
Vascular Fluid Mechanics, the Arterial Wall, and Atherosclerosis
Authors: Nerem R. M.
Published: March 2008

Atherosclerosis, a disease of large- and medium-size arteries, is the chief cause of death in the United States and in most of the western world. Severe atherosclerosis interferes with blood flow; however, even in the early stages of the disease, i.e. during atherogenesis, there is believed to be an important relationship between the disease processes and the characteristics of the blood flow in the arteries. Atherogenesis involves complex cascades of interactions among many factors. Included in this are fluid mechanical factors which are believed to be a cause of the highly focal nature of the disease. From in vivo studies, there is evidence of hemodynamic influences on the endothelium, on intimal thickening, and on monocyte recruitment. In addition, cell culture studies have demonstrated the important effect of a cell’s mechanical environment on structure and function. Most of this evidence is for the endothelial cell, which is believed to be a key mediator of any hemodynamic effect, and it is now well documented that cultured endothelial monolayers, in response to a fluid flow-imposed laminar shear stress, undergo a variety of changes in structure and function. In spite of the progress in recent years, there are many areas in which further work will provide important new information. One of these is in the engineering of the cell culture environment so as to make it more physiologic. Animal studies also are essential in our efforts to understand atherogenesis, and it is clear that we need better information on the pattern of the disease and its temporal development in humans and animal models, as well as the specific underlying biologic events. Complementary to this will be in vitro model studies of arterial fluid mechanics. In addition, one can foresee an increasing role for computer modelling in our efforts to understand the pathophysiology of the atherogenic process. This includes not only computational fluid mechanics, but also modelling the pathobiologic processes taking place within the arterial wall. A key to the atherogenic process may reside in understanding how hemodynamics influences not only intimal smooth muscle cell proliferation, but also the recruitment of the monocyte/macrophage and the formation of foam cells. Finally, it will be necessary to begin to integrate our knowledge of cellular phenomena into a description of the biologic processes within the arterial wall and then to integrate this into a picture of the disease process itself.
Computer Simulation of Occupant Neck Response to Airbag Deployment in Frontal Impacts
Authors: Yang K. H. , Latouf B. K. , King A. I.
Published: March 2008

A mathematical simulation was performed to study the potential of head and neck injury to an unbelted driver restrained by an airbag. The baseline study represented a 50th percentile male dummy driving in a compact car with the steering wheel perpendicular to the floor. The vehicle was moving at 48 km/hour at the time of impact. Model predictions were compared with sled test results. The data agreed reasonably well. A parametric study was performed to study the effect of changing the steering wheel angle and the size of the airbag. It was found that when the standard 20 degrees angle steering wheel was used, neck joint torques were decreased by 22 percent while the resultant head acceleration increased 41 percent from the base line study. When the vertical dimension of the airbag was reduced by 10 percent, neck joint torques were increased by 14 percent, while head acceleration showed a slight decrease of 9 percent.
A Parametric Study of the Thoracic Injury Potential of Basic Taekwondo Kicks
Authors: Chuang T. Y. , Lieu D. K.
Published: March 2008

A parametric investigation of the thoracic injury potential of basic taekwondo kicks was conducted through the use of computer simulations. Linkage-based models were employed to simulate the kinetics of the kicking leg and were used to drive a human thorax model. The results of the analysis according to the thoracic compression criterion indicated a minimal probability of severe injury (AIS4+ ) for swing kicks, nearly 0 percent and thrust kicks, less than three percent. The thoracic viscous criteria, on the other hand, predicted a severe injury probability of up to 100 percent for swing kicks and up to 80 percent for thrust kicks. Additional analysis showed that the injury potential was a strong function of the kick velocity and a weak function of the applied constant force. The injury potential was also found to be a weak function of the size and weight of the kicking leg, with variations in the peak compression and viscous response being typically below 5 percent for a 20 percent change in either the mass or the length.
Boundary Element Method Analysis for the Bioheat Transfer Equation
Authors: Chan Cho Lik
Published: March 2008

In this paper, the boundary element method (BEM) approach is applied to solve the Pennes (1948) bioheat equation. The objective is to develop the BEM formulation and demonstrate its feasibility. The basic BEM formulations for the transient and steady-state cases are first presented. To demonstrate the usefulness of the BEM approach, numerical solutions for 2-D steady-state problems are obtained and compared to analytical solutions. Further, the BEM formulation is applied to model a conjugate problem for an artery imbedded in a perfused heated tissue. Analytical solution is possible when the conduction in the x-direction is negligible. The BEM and analytical results have very good agreement.
A Three-Dimensional Variable Geometry Countercurrent Model for Whole Limb Heat Transfer
Authors: Zhu M. , Weinbaum S. , Lemons D. E.
Published: March 2008

A new formulation of the combined macro and microvascular model for heat transfer in a human arm developed in Song et al. [1] is proposed using a recently developed approximate theory for the heat exchange between countercurrent vessels embedded in a tissue cylinder with surface convection [2]. The latter theory is generalized herein to treat an arm with an arbitrary variation in cross-sectional area and continuous bleed off from the axial vessels to the muscle and cutaneous tissue. The local microvascular temperature field is described by a “hybrid” model which applies the Weinbaum-Jiji [3] and Pennes [4] equations in the peripheral and deeper tissue layers, respectively. To obtain reliable end conditions at the wrist and other model input parameters, a plethysmograph-calorimeter has been used to measure the blood flow distribution between the arm and hand circulations, and hand heat loss. The predictions of the model show good agreement with measurements for the axial surface temperature distribution in the arm and confirm the minimum in the axial temperature variation first observed by Pennes [4] for an arm in a warm environment.
Strain Fields on Cell Stressing Devices Employing Clamped Circular Elastic Diaphragms as Substrates
Authors: Williams J. L. , Chen J. H. , Belloli D. M.
Published: March 2008

Solutions are presented for the surface strain fields on inflated elastomeric circular diaphragms used for in vitro cell stressing experiments. It is shown, by using the method developed by Way (1934) to solve the nonlinear von Karman plate equations, that the surface strains due to bending are not negligible and that large negative radial strains arise near the clamped edge for center deflection-to-thickness ratios (w/h)< 10. The method of Hart-Smith and Crisp (1967) was used for w/h>10 to solve the nonlinear equations for symmetrical deformation of axially symmetrical rubber-like membranes. In the membrane solutions the circumferential strains drop parabolically to zero at the clamped edge of the diaphragm, while the radial strains increase slightly with the radius. The solutions for w/h>10 are compared to optical measurements of in-plane displacements used to calculate the circumferential strains on the diaphragm, yielding excellent agreement with the theory.
Blood Velocity Patterns in Poststenotic Regions and Velocity Waveforms for Myocardial Inflow Associated With Coronary Artery Stenosis in Dogs
Authors: Kajiya F. , Hiramatsu O. , Kimura A. , Yamamoto T. , Yada T. , Ogasawara Y. , Tsujioka K.
Published: March 2008

Velocity profiles across a vessel were investigated in poststenotic regions of the canine left coronary artery by our 80-channel 20 MHz ultrasound velocimeter. The velocity waveform in a small artery just before its penetration into myocardium was measured by our laser Doppler method. The poststenotic velocity configuration was characterized by a narrow region of high velocity with diastolic reverse flow near the wall which may dissipate energy. The velocity waveform in the distal small arteries exhibited increased systolic reverse flow with decreased diastolic forward flow, resulting in a remarkable reduction of coronary inflow into the myocardium.
Insights From In-Vitro Flow Visualization Into the Mechanism of Systolic Anterior Motion of the Mitral Valve in Hypertrophic Cardiomyopathy Under Steady Flow Conditions
Authors: Lefebvre X. P. , Yoganathan A. P. , Levine R. A.
Published: March 2008

Hypertrophic obstructive cardiomyopathy is a heart disease characterized by a thickened interventricular septum which narrows the left ventricular outflow tract, and by systolic anterior motion (SAM) of the mitral valve which can contact the septum and create dynamic subaortic obstruction. The most common explanation for SAM has been the Venturi mechanism which postulates that septal hypertrophy, by narrowing the outflow tract, produces high velocities and thus low pressure between the mitral valve and the septum, causing the valve leaflets to move anteriorly. This hypothesis, however, fails to explain why SAM often begins early in systole, when outflow tract velocities are low or negligible or why it may occur in the absence of septal hypertrophy. The goal of this study was therefore to investigate an alternative hypothesis in which structural abnormalities of the papillary muscles act as a primary cause of SAM by altering valve restraint and thereby changing the geometry of the closed mitral apparatus and its relationship to the surrounding flow field. In order to test this hypothesis, an in vitro model of the left ventricle which included an explanted human mitral valve with intact chords and papillary muscle apparatus was constructed. Flow visualization was used to observe the ventricular flow field and the mitral valve geometry. Displacing the papillary muscles anteriorly and closer to each other, as observed clinically in patients with cardiomyopathy and obstruction produced SAM in the absence of septal hypertrophy. Flow could be seen impacting on the upstream (posterior) surface of the leaflets; such flow is capable of producing form drag forces which can initiate and maintain SAM. In contrast, increasing septal hypertrophy to narrow the outflow tract and create velocities as high as 3.3 m/s did not produce SAM in the absence of papillary muscle displacement, despite an increase in the calculated lift forces. Therefore, primary abnormalities of the papillary muscle-mitral valve apparatus can alter the relationship of the mitral valve to the surrounding flow field in such a way that SAM is generated, whereas the Venturi mechanism, induced by septal hypertrophy alone, is insufficient to do so with a normally positioned and tethered valve.
Shear Stability of an Elastomeric Disk Spacer Within an Intervertebral Joint: A Parametric Study
Authors: Hawkins M. V. , Zimmerman M. C. , Parsons J. R. , Carter F. M. , Langrana N. A. , Lee C. K.
Published: March 2008

A parametric study was conducted to compare the resistance to shear force provided by three surgical implantation techniques and three endplate designs for use with a polymeric lumbar intervertebral disk spacer. While under an axial load, the implant was pushed out laterally through the surgical window created for implantation. Force at 0.3 mm displacement, slope of the initial portion of the force-displacement graph, and maximum force were measured. The results indicate that implants with pegs, inclined planes, or domes on the surfaces of the disk will add significantly to the shear stability of the implant while maintaining the simplicity of a single part device.
Control and Optimization of Apheresis Procedures in a COBE 2997 Cell Separator
Authors: Wooten S. L. , Petersen J. N. , Van Wie B. J.
Published: March 2008

To obtain more efficient operation of a COBE Model 2997 clinical cell separator using either a Single Stage II (SS II) or a Dual Stage separation chamber, modifications were made to allow complete computer control. Product cell density was detected using an optical sensor and controlled by automatic feedback through a microcomputer interface. Control was accomplished by automatically adjusting the red blood cell (RBC) and plasma product flow rates using a proportional-integral (PI) algorithm. Results show that, using either chamber, the product cell density can be maintained at a preselected value for extended periods of time without operator intervention. This system allowed investigation of optimal operating regions for plateletpheresis and leukapheresis procedures. The effects of centrifuge rpm and controller set point on centrifuge operation were investigated using a second order factorial experimental design. Theoretical significance of model parameters was assessed with the aid of a hindered settling model and simple reasoning about the interface position relative to the collection port. The results suggest that, in either chamber, the optimum operating region for plateletpheresis procedures occurs at moderate controller set points and high centrifuge rpm. The resultant operating efficiency and product purity values are approximately 63 percent and 0.65 respectively in the SS II chamber and approximately 70 percent and 0.70 respectively in the Dual Chamber. In the SS II, the optimum operating region for leukapheresis procedures occurred at high controller set point values for any centrifuge rpm above 1200 with an operating efficiency near 100 percent. However, in the Dual Chamber, the optimum operating region for leukapheresis procedures occurred at high controller set points and high centrifuge rpm’s, again providing an operating efficiency near 100 percent.
A Mathematical Model for the Receptor Mediated Cellular Regulation of the Low Density Lipoprotein Metabolism
Authors: Yuan F. , Weinbaum S. , Pfeffer R. , Chien S.
Published: March 2008

A prototype mathematical model for Brown and Goldstein’s pioneering studies on the LDL receptor mediated pathway for the regulation of the cellular content of cholesterol has been developed in this paper. In order to analyze the essential features of this complex system quantitatively and still reflect the framework of the total system, six important processes are considered in the model. They are: (1A, B) the hydrolysis and synthesis of the LDL receptor; (2) the binding of LDL to its receptors; (3) the hydrolysis of LDL; (4) the storage of cholesteryl esters; (5) the regulation of de novo synthesis of cholesterol; and (6) the efflux of free cholesterol to the external medium. All these processes form a system to let the cells take up enough cholesterol from the external medium for their utilization and yet avoid the excessive accumulation of the lipid within the cells. The validity of the model is tested by showing that it can predict many of experimental curves obtained for human fibroblasts in tissue culture studies. The main purpose of the model is to determine how the free cholesterol level in the cell is related to the external LDL concentration and the regulatory capacity of the cells to adapt to a changing LDL environment. In addition, the model reveals an important behavior of SMC, i.e., for a slowly increasing LDL concentration in the extracellular medium, the rate of intracellular degradation of LDL will first increase and then become saturated. It is proposed based on these results that the saturation of LDL degradation by SMCs and the subsequent increase in subendothelial LDL levels in regions of high macromolecular permeability might play a vital role in the formation of the early foam cell lesion.
The Zero-Stress State of Rat Veins and Vena Cava
Authors: Xie J. P. , Liu S. Q. , Yang R. F. , Fung Y. C.
Published: March 2008

The zero-stress state of a vein is, like that of an artery, not a closed cylindrical tube, but is a series of segments whose cross-sections are open sectors. An opening angle of each sector is defined as the angle subtended between two radii joining the midpoint of the inner wall to the tips of the inner wall. Data on the opening angles (mean ± standard deviation) of the veins and vena cava of the rat are presented. For the superior vena cava and subclavian, jugular, facial, renal, common iliac, saphenous, and plantar veins, the opening angle varies in the range of 25 to 75 deg. The inferior vena cava (below the heart), however, has noncircular, nonaxisymmetric cross-sections, a curved axis, and a rapid longitudinal variation of its “diameter;” its zero-stress state is not circular sectors; but the opening angle is still a useful characterization. The mean opening angle of the interior vena cava varies in the range of 40 to 150 deg in the thoracic portion, and 75 to 130 deg in the abdominal portion, with the larger values occurring about the middle of each portion. There are considerable length, diameter reductions, and wall thickening of the vena cava from the homeostatic state to the no-load state in vitro. Physically, the zero-stress state is the basis of the stress analysis of blood vessels. The change of opening angle is a convenient parameter to characterize any nonuniform remodeling of the vessel wall due to changes in physical stress or chemical environment. Change of zerostress state influences the compliance and collapsibility of the viens, their pressure-volume and pressure-flow relationships, the waterfall phenomenon, and the tone in the vascular smooth muscles if the homeostatic stress is changed.
On a Nonlinear Theory for Muscle Shells: Part II—Application to the Beating Left Ventricle
Authors: Taber L. A.
Published: March 2008

This paper specializes the nonlinear laminated-muscle-shell theory developed in Part I to cylindrical geometry and computes stresses in arteries and the beating left ventricle. The theory accounts for large strain, material nonlinearity, thick-shell effects, torsion, muscle activation, and residual strain. First, comparison with elasticity solutions for pressurized arteries shows that the accuracy of the shell theory increases as transmural stress gradients and the shell thickness decrease. Residual strain reduces the stress gradients, lowering the error in the predicted peak stress in thick-walled arteries (R/t = 2.8) from about 30 to 10 percent. Second, the canine left ventricle is modeled as a thick-walled laminated cylinder with an internal pressure. Each layer is composed of transversely isotropic muscle with a fiber orientation based on anatomical data. Using a single pseudostrain-energy density function (with time-varying coefficients) for passive and active myocardium, the model predicts strain distributions that agree fairly well with published experimental measurements. The results also show that the peak fiber stress occurs subendocardially near the beginning of ejection and that residual strains significantly alter stress gradients within each lamina, but the magnitude of the peak fiber stress changes by less than 20 percent.
A Method to Characterize the Passive Elasticity in Contracting Muscle Bundles
Authors: Pinto J. G. , Boe A.
Published: March 2008

There is concern among researchers whether the passive muscle properties, characterized by purely passive material testing procedures, are an appropriate representation of the actual passive component of the muscle. This aspect is of particular importance in the biomechanical analysis of heart muscle response where it is generally agreed that the so-called parallel elasticity cannot be ignored as is done justifiably in the analysis of skeletal muscle response. In the present article, a method of quantifying the passive elasticity in contracting muscle bundles is presented. The method consists of imposing isometric transients (such as the quick-stretch or quick release) on a muscle bundle during the contraction phase and observing the differences in decayed force levels between a normal twitch and that of a perturbed twitch. The proposed method provides a means of obtaining useful passive properties from contracting muscle bundles and circumvents the difficulty of having to characterize muscle properties from separate experiments on quiescent muscle bundles.
Distinguishing Biomechanical Properties of Intrinsic and Extrinsic Human Wrist Ligaments
Authors: Nowalk M. D. , Logan S. E.
Published: March 2008

Two intrinsic (scapholunate and lunotriquetral) and two extrinsic (radiolunate and radiocapitate) wrist ligaments were studied at high and low elongation rates (1 and 100 mm/min). Statistically significant differences among all four ligaments were noted for the viscoelastic and elastic components of stress versus strain for the fully recoverable strain and early permanent deformation stress for all ligaments. Intrinsic ligaments became permanently deformed at statistically significantly higher strain levels than the extrinsic ligaments and accept larger permanent deformation at strain levels below evident fiber failure. Ultimate strength data demonstrated significant rate dependency for stress and strain for all ligaments. Intrinsic ligaments failed statistically greater stress and strain levels than the extrinsic group. Some clinical implications of these findings are discussed.
Recruitment of Knee Joint Ligaments
Authors: Blankevoort L. , Huiskes R. , de Lange A.
Published: March 2008

On the basis of earlier reported data on the in vitro kinematics of passive knee-joint motions of four knee specimens, the length changes of ligament fiber bundles were determined by using the points of insertion on the tibia and femur. The kinematic data and the insertions of the ligaments were obtained by using Roentgenstereophotogrammetry. Different fiber bundles of the anterior and posterior cruciate ligaments and the medial and lateral collateral ligaments were identified. On the basis of an assumption for the maximal strain of each ligament fiber bundle during the experiments, the minimal recruitment length and the probability of recruitment were defined and determined. The motions covered the range from extension to 95 degrees flexion and the loading conditions included internal or external moments of 3 Nm and anterior or posterior forces of 30N. The ligament length and recruitment patterns were found to be consistent for some ligament bundles and less consistent for other ligament bundles. The most posterior bundle of each ligament was recruited in extension and the lower flexion angles, whereas the anterior bundle was recruited for the higher flexion angles. External rotation generally recruited the collateral ligaments, while internal rotation recruited the cruciate ligaments. However, the anterior bundle of the posterior cruciate ligament was recruited with external rotation at the higher flexion angles. At the lower flexion angles, the anterior cruciate and the lateral collateral ligaments were recruited with an anterior force. The recruitment of the posterior cruciate ligament with a posterior force showed that neither its most anterior nor its most posterior bundle was recruited at the lower flexion angles. Hence, the posterior restraint must have been provided by the intermediate fiber bundles, which were not considered in the experiment. At the higher flexion angles, the anterior bundles of the anterior cruciate ligament and the posterior cruciate ligament were found to be recruited with anterior and posterior forces, respectively. The minimal recruitment length and the recruitment probability of ligament fiber bundles are useful parameters for the evaluation of ligament length changes in those experiments where no other method can be used to determine the zero strain lengths, ligament strains and tensions.
Testing of a Biomechanical Model of the Lumbar Muscle Force Distribution Using Quasi-Static Loading Exercises
Authors: Ladin Z. , Neff K. M.
Published: March 2008

The study of lumbar muscle force distribution in response to externally applied loads is based on the introduction of biomechanical models of the lumbar region. The evaluation of such models requires the execution of loading exercises while monitoring the EMG activity of certain lumbar muscles. This work uses muscle activity maps as the major design tool of such exercises, provided that the subject is constrained to an upright erect posture. The maps describe the predicted muscle force for a given combination of externally applied bending moments. A series of shoulder adduction exercises were designed and the EMG signals of eight lumbar muscles were measured while subjects performed the exercises. The results show good agreement between the model predictions and the EMG measurements, especially when the load and the muscle were contralateral to one another.
A Constitutive Theory for Biomembranes: Application to Epicardial Mechanics
Authors: Humphrey J. D. , Strumpf R. K. , Yin F. C. P.
Published: March 2008

We present a new theoretically motivated experimental approach for identifying the functional form of a constitutive relation for any nonlinear, anisotropic pseudoelastic biological membrane. The utility of this approach is illustrated by identifying, from biaxial data, a new constitutive relation for excised ventricular epicardium. Values of the associated material parameters are calculated and compared for right and left ventricular specimens. Based on our findings, we suggest that there are no significant differences in the biomechanical behavior of epicardium excised from the right and left ventricular free walls of canine hearts.