Abstract:
Blood processing systems and methods convey whole blood from a donor into a centrifugal separation device for separation into red blood cells and a plasma constituent. The plasma constituent and red blood cells are removed from the separation device at least in part while whole blood is conveyed into the separation device. The systems and methods generate, at least in part while whole blood is conveyed into the separation device and plasma constituent and red blood cells are removed from the separation device, a control command affecting separation within the separation device based, at least in part, upon a factor representing hematocrit of red blood cells separated in the separation device.

Description:
RELATED APPLICATION  
       [0001]    This application is a divisional of co-pending U.S. patent application Ser. No. 09/793,801, filed Feb. 23, 2001, entitled “Blood Processing Systems and Methods Using Apparent Hematocrit as a Process Control Variable,” which is incorporated herein by reference, and which is a continuation of U.S. patent application Ser. No. 09/527,148, filed Mar. 16, 2000 (now U.S. Pat. No. 6,027,063), which is a continuation of U.S. patent application Ser. No. 08/960,674, filed Oct. 30, 1997 (now U.S. Pat. No. 6,059,979), which is a continuation of U.S. patent application Ser. No. 08/473,316, filed Jun. 7, 1995 (now U.S. Pat. No. 5,730,883). 
     
    
     
       FIELD OF THE INVENTION  
         [0002]    The invention generally relates to blood processing systems and methods.  
         BACKGROUND OF THE INVENTION  
         [0003]    Today people routinely separate whole blood by centrifugation into its various therapeutic components, such as red blood cells, platelets, and plasma.  
           [0004]    Certain therapies transfuse large volumes of blood components. For example, some patients undergoing chemotherapy require the transfusion of large numbers of platelets on a routine basis. Manual blood bag systems simply are not an efficient way to collect these large numbers of platelets from individual donors.  
           [0005]    On line blood separation systems are today used to collect large numbers of platelets to meet this demand. On line systems perform the separation steps necessary to separate concentration of platelets from whole blood in a sequential process with the donor present. On line systems establish a flow of whole blood from the donor, separate out the desired platelets from the flow, and return the remaining red blood cells and plasma to the donor, all in a sequential flow loop.  
           [0006]    Large volumes of whole blood (for example, 2.0 liters) can be processed using an on line system. Due to the large processing volumes, large yields of concentrated platelets (for example, 4×10 11  platelets suspended in 200 ml of fluid) can be collected. Moreover, since the donor&#39;s red blood cells are returned, the donor can donate whole blood for on line processing much more frequently than donors for processing in multiple blood bag systems.  
           [0007]    Nevertheless, a need still exists for further improved systems and methods for collecting cellular-rich concentrates from blood components in a way that lends itself to use in high volume, on line blood collection environments, where higher yields of critically needed cellular blood components like platelets can be realized.  
           [0008]    As the operational and performance demands upon such fluid processing systems become more complex and sophisticated, the need exists for automated process controllers that can gather and generate more detailed information and control signals to aid the operator in maximizing processing and separation efficiencies.  
         SUMMARY OF THE INVENTION  
         [0009]    The invention provides blood processing systems and methods that separate whole blood into red blood cells and a plasma constituent within a rotating centrifugal separation device. The plasma constituent and red blood cells are removed from the separation device at least in part while whole blood is conveyed into the separation device. The systems and methods generate, at least in part while whole blood is conveyed into the separation device and plasma constituent and red blood cells are removed from the separation device, a control command affecting separation within the separation device based, at least in part, upon a factor representing hematocrit of red blood cells separated in the separation device.  
           [0010]    Other features and advantages of the invention will become apparent from the following description, the drawings, and the claims. 
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0011]    [0011]FIG. 1 is a diagrammatic view of a dual needle platelet collection system that includes a controller that embodies the features of the invention;  
         [0012]    [0012]FIG. 2 is a diagrammatic flow chart view of the controller and associated system optimization application that embodies the features of the invention;  
         [0013]    [0013]FIG. 3 is a diagrammatic view of the function utilities contained within the system optimization application shown in FIG. 2;  
         [0014]    [0014]FIG. 4 is a diagrammatic flow chart view of the utility function contained within the system optimization application that derives the yield of platelets during a given processing session;  
         [0015]    [0015]FIG. 5 is a diagrammatic flow chart view of the utility functions contained within the system optimization application that provide processing status and parameter information, generate control variables for achieving optimal separation efficiencies, and generate control variables that control the rate of citrate infusion during a given processing session;  
         [0016]    [0016]FIG. 6 is a diagrammatic flow chart view of the utility function contained within the system optimization application that recommends optimal storage parameters based upon the yield of platelets during a given processing session;  
         [0017]    [0017]FIG. 7 is a diagrammatic flow chart view of the utility function contained within the system optimization application that estimates the processing time before commencing a given processing session;  
         [0018]    [0018]FIG. 8 is a graphical depiction of an algorithm used by the utility function shown in FIG. 4 expressing the relationship between the efficiency of platelet separation in the second stage chamber and a dimensionless parameter, which takes into account the size of the platelets, the plasma flow rate, the area of the chamber, and the speed of rotation;  
         [0019]    [0019]FIG. 9 is a graph showing the relationship between the partial pressure of oxygen and the permeation of a particular storage container, which the utility function shown in FIG. 6 takes into account in recommending optimal storage parameters in terms of the number of storage containers;  
         [0020]    [0020]FIG. 10 is a graph showing the relationship between the consumption of bicarbonate and storage thrombocytocrit for a particular storage container, which the utility function shown in FIG. 6 takes into account in recommending optimal storage parameters I n terms of the volume of plasma storage medium; and  
         [0021]    [0021]FIG. 11 is a graph showing the efficiency of platelet separation, expressed in terms of mean platelet volume, in terms of inlet hematocrit, which a utility function shown in FIG. 5 takes into account in generating a control variable governing plasma recirculation during processing. 
     
    
       [0022]    The various aspects of the invention may be embodied in several forms without departing from its spirit or essential characteristics. The scope of the invention is defined in the appended claims, rather than in the specific description preceding them. All embodiments that fall within the meaning and range of equivalency of the claims are therefore intended to be embraced by the claims.  
       DESCRIPTION OF THE PREFERRED EMBODIMENTS  
       [0023]    [0023]FIG. 1 shows in diagrammatic form an on line blood processing system  10  for carrying out an automated platelet collection procedure. The system  10  in many respects typifies a conventional two needle blood collection network, although a convention single needle network could also be used. The system  10  includes a processing controller  18  embodying the features of the invention.  
         [0024]    I. The Separation System  
         [0025]    The system  10  includes an arrangement of durable hardware elements, whose operation is governed by the processing controller  18 . The hardware elements include a centrifuge  12 , in which whole blood (WB) is separated into its various therapeutic components, like platelets, plasma, and red blood cells (RBC). The hardware elements will also include various pumps, which are typically peristaltic (designated P 1  to P 4 ); and various in line clamps and valves (designated V 1  to V 3 ). Of course, other types of hardware elements may typically be present, which FIG. 1 does not show, like solenoids, pressure monitors, and the like.  
         [0026]    The system  10  typically also includes some form of a disposable fluid processing assembly  14  used in association with the hardware elements.  
         [0027]    In the illustrated blood processing system  10 , the assembly  14  includes a two stage processing chamber  16 . In use, the centrifuge  12  rotates the processing chamber  16  to centrifugally separate blood components. A representative centrifuge that can be used is shown in Williamson et al U.S. Pat. No. 5,360,542, which is incorporated herein by reference.  
         [0028]    The construction of the two stage processing chamber  16  can vary. For example, it can take the form of double bags, like the processing chambers shown in Cullis et al. U.S. Pat. No. 4,146,172. Alternatively, the processing chamber  16  can take the form of an elongated two stage integral bag, like that shown in Brown U.S. Pat. No. 5,370,802.  
         [0029]    In the illustrated blood processing system  10 , the processing assembly  14  also includes an array of flexible tubing that forms a fluid circuit. The fluid circuit conveys liquids to and from the processing chamber  16 . The pumps P 1 -P 4  and the valves V 1 -V 3  engage the tubing to govern the fluid flow in prescribed ways. The fluid circuit further includes a number of containers (designated C 1  to C 3 ) to dispense and receive liquids during processing.  
         [0030]    The controller  18  governs the operation of the various hardware elements to carry out one or more processing tasks using the assembly  14 . The controller  18  also performs real time evaluation of processing conditions and outputs information to aid the operator in maximizing the separation and collection of blood components. The invention specifically concerns important attributes of the controller  18 .  
         [0031]    The system  10  can be configured to accomplish diverse types of blood separation processes. FIG. 1 shows the system  10  configured to carry out an automated two needle platelet collection procedure.  
         [0032]    In a collection mode, a first tubing branch  20  and the whole blood inlet pump P 2  direct WB from a draw needle  22  into the first stage  24  of the processing chamber  16 . Meanwhile, an auxiliary tubing branch  26  meters anticoagulant from the container C 1  to the WB flow through the anticoagulant pump P 1 . While the type of anticoagulant can vary, the illustrated embodiment uses ACDA, which is a commonly used anticoagulant for pheresis.  
         [0033]    The container C 2  holds saline solution. Another auxiliary tubing branch  28  conveys the saline into the first tubing branch  20 , via the in line valve V 1 , for use in priming and purging air from the system  10  before processing begins. Saline solution is also introduced again after processing ends to flush residual components from the assembly  14  for return to the donor.  
         [0034]    Anticoagulated WB enters and fills the first stage  24  of the processing chamber  24 . There, centrifugal forces generated during rotation of the centrifuge  12  separate WB into red blood cells (RBC) and platelet-rich plasma (PRP).  
         [0035]    The PRP pump P 4  operates to draw PRP from the first stage  24  of the processing chamber  16  into a second tubing branch  30  for transport to the second stage  32  of the processing chamber  16 . There, the PRP is separated into platelet concentrate (PC) and platelet-poor plasma (PPP).  
         [0036]    Optionally, the PRP can be conveyed through a filter F to remove leukocytes before separation in the second stage  32 . The filter F can employ filter media containing fibers of the type disclosed in Nishimura et al U.S. Pat. No. 4,936,998, which is incorporated herein by reference. Filter media containing these fibers are commercially sold by Asahi Medical Company in filters under the trade name SEPACELL.  
         [0037]    The system  10  includes a recirculation tubing branch  34  and an associated recirculation pump P 3 . The processing controller  18  operates the pump P 3  to divert a portion of the PRP exiting the first stage  24  of the processing chamber  16  for remixing with the WB entering the first stage  24  of the processing chamber  16 . The recirculation of PRP establishes desired conditions in the entry region of the first stage  24  to provide maximal separation of RBC and PRP.  
         [0038]    As WB is drawn into the first chamber stage  24  for separation, the illustrated two needle system simultaneously returns RBC from the first chamber stage  24 , along with a portion of the PPP from the second chamber stage  32 , to the donor through a return needle  36  through tubing branches  38  and  40  and in line valve V 2 .  
         [0039]    The system  10  also collects PC (resuspended in a volume of PPP) in some of the containers C 3  through tubing branches  38  and  42  and in line valve V 3  for storage and beneficial use. Preferable, the container(s) C 3  intended to store the PC are made of materials that, when compared to DEHP-plasticized polyvinyl chloride materials, have greater gas permeability that is beneficial for platelet storage. For example, polyolefin material (as disclosed in Gajewski et al U.S. Pat. No. 4,140,162), or a polyvinyl chloride material plasticized with tri-2-ethylhexyl trimellitate (TEHTM) can be used.  
         [0040]    The system  10  can also collect PPP in some of the containers C 3  through the same fluid path. The continuous retention of PPP serves multiple purposes, both during and after the component separation process.  
         [0041]    The retention of PPP serves a therapeutic purpose during processing. PPP contains most of the anticoagulant that is metered into WB during the component separation process. By retaining a portion of PPP instead of returning it all to the donor, the overall volume of anticoagulant received by the donor during processing is reduced. This reduction is particularly significant when large blood volumes are processed. The retention of PPP during processing also keeps the donor&#39;s circulating platelet count higher and more uniform during processing.  
         [0042]    The system  10  can also derive processing benefits from the retained PPP.  
         [0043]    The system  10  can, in an alternative recirculation mode, recirculate a portion of the retained PPP, instead of PRP, for mixing with WB entering the first compartment  24 . Or, should WB flow be temporarily halted during processing, the system  10  can draw upon the retained volume of PPP as an anticoagulated “keep-open” fluid to keep fluid lines patent. In addition, at the end of the separation process, the system  10  draws upon the retained volume of PPP as a “rinse-back” fluid, to resuspend and purge RBC from the first stage compartment  24  for return to the donor through the return branch  40 . After the separation process, the system  10  also operates in a resuspension mode to draw upon a portion of the retained PPP to resuspend PC in the second compartment  24  for transfer and storage in the collection container(s) C 3 .  
         [0044]    II. The System Controller  
         [0045]    The controller  18  carries out the overall process control and monitoring functions for the system  10  as just described.  
         [0046]    In the illustrated and preferred embodiment (see FIG. 2), the controller comprises a main processing unit (MPU)  44 . In the preferred embodiment, the MPU  44  comprises a type 68030 microprocessor made by Motorola Corporation, although other types of conventional microprocessors can be used.  
         [0047]    In the preferred embodiment, the MPU  44  employs conventional real time multi-tasking to allocate MPU cycles to processing tasks. A periodic timer interrupt (for example, every  5  milliseconds) preempts the executing task and schedules another that is in a ready state for execution. If a reschedule is requested, the highest priority task in the ready state is scheduled. Otherwise, the next task on the list in the ready state is schedule.  
         [0048]    A. Functional Hardware Control  
         [0049]    The MPU  44  includes an application control manager  46 . The application control manager  46  administers the activation of a library  48  of control applications (designated A 1  to A 3 ). Each control application A 1 -A 3  prescribes procedures for carrying out given functional tasks using the system hardware (e.g., the centrifuge  12 , the pumps P 1 -P 4 , and the valves V 1 -V 3 ) in a predetermined way. In the illustrated and preferred embodiment, the applications A 1 -A 3  reside as process software in EPROM&#39;s in the MPU  44 .  
         [0050]    The number of applications A 1 -A 3  can vary. In the illustrated and preferred embodiment, the library  48  includes at least one clinical procedure application A 1 . The procedure application A 1  contains the steps to carry out one prescribed clinical processing procedure. For the sake of example in the illustrated embodiment, the library  48  includes a procedure application A 1  for carrying out the dual needle platelet collection process, as already generally described in connection with FIG. 1. Of course, additional procedure applications can be, and typically will be, included. For example, the library  48  can include a procedure application for carrying out a conventional single needle platelet collection process.  
         [0051]    In the illustrated and preferred embodiment, the library  48  also includes a system optimization application A 2 . The system optimization application A 2  contains interrelated, specialized utility functions that process information based upon real time processing conditions and empirical estimations to derive information and control variables that optimize system performance. Further details of the optimization application A 2  will be described later.  
         [0052]    The library  48  also includes a main menu application A 3 , which coordinates the selection of the various applications A 1 -A 3  by the operator, as will also be described in greater detail later.  
         [0053]    Of course, additional non-clinical procedure applications can be, and typically will be, included. For example, the library  48  can include a configuration application, which contains the procedures for allowing the operator to configure the default operating parameters of the system  10 . As a further example, the library  48  can include a diagnostic application, which contains the procedures aiding service personnel in diagnosing and troubleshooting the functional integrity of the system, and a system restart application, which performs a full restart of the system, should the system become unable to manage or recover from an error condition.  
         [0054]    An instrument manager  50  also resides as process software in EPROM&#39;s in the MPU  44 . The instrument manager  50  communicates with the application control manager  46 . The instrument manager  50  also communicates with low level peripheral controllers  52  for the pumps, solenoids, valves, and other functional hardware of the system.  
         [0055]    As FIG. 2 shows, the application control manager  46  sends specified function commands to the instrument manager  50 , as called up by the activated application A 1 -A 3 . The instrument manager  50  identifies the peripheral controller or controllers  52  for performing the function and compiles hardware-specific commands. The peripheral controllers  52  communicate directly with the hardware to implement the hardware-specific commands, causing the hardware to operate in a specified way. A communication manager  54  manages low-level protocol and communications between the instrument manager  50  and the peripheral controllers  52 .  
         [0056]    As FIG. 2 also shows, the instrument manager  50  also conveys back to the application control manager  46  status data about the operational and functional conditions of the processing procedure. The status data is expressed in terms of, for example, fluid flow rates, sensed pressures, and fluid volumes measured.  
         [0057]    The application control manager  46  transmits selected status data for display to the operator. The application control manager  46  transmits operational and functional conditions to the procedure application A 1  and the performance monitoring application A 2 .  
         [0058]    B. User Interface Control  
         [0059]    In the illustrated embodiment, the MPU  44  also includes an interactive user interface  58 . The interface  58  allows the operator to view and comprehend information regarding the operation of the system  10 . The interface  58  also allows the operator to select applications residing in the application control manager  46 , as well as to change certain functions and performance criteria of the system  10 .  
         [0060]    The interface  58  includes an interface screen  60  and, preferably, an audio device  62 . The interface screen  60  displays information for viewing by the operator in alpha-numeric format and as graphical images. The audio device  62  provides audible prompts either to gain the operator&#39;s attention or to acknowledge operator actions.  
         [0061]    In the illustrated and preferred embodiment, the interface screen  60  also serves as an input device. It receives input from the operator by conventional touch activation. Alternatively or in combination with touch activation, a mouse or keyboard could be used as input devices.  
         [0062]    An interface controller  64  communicates with the interface screen  60  and audio device  62 . The interface controller  64 , in turn, communicates with an interface manager  66 , which in turn communicates with the application control manager  46 . The interface controller  64  and the interface manager  66  reside as process software in EPROM&#39;s in the MPU  44 .  
         [0063]    Further details of the interface  58  are disclosed in copending application Serial No. ______.  
         [0064]    C. The System Optimization Application  
         [0065]    In the illustrated embodiment (as FIG. 3 shows), the system optimization application A 2  contains six specialized yet interrelated utility functions, designated F 1  to F 6 . Of course, the number and type of utility functions can vary.  
         [0066]    In the illustrated embodiment, a utility function F 1  derives the yield of the system  10  for the particular cellular component targeted for collection. For the platelet collection procedure application A 1 , the utility function F 1  ascertains both the instantaneous physical condition of the system  10  in terms of its separation efficiencies and the instantaneous physiological condition of the donor in terms of the number of circulating platelets available for collection. From these, the utility function F 1  derive the instantaneous yield of platelets continuously over the processing period.  
         [0067]    Yet another utility function F 2  relies upon the calculated platelet yield and other processing conditions to generate selected informational status values and parameters. These values and parameters are displayed on the interface  58  to aid the operator in establishing and maintaining optimal performance conditions. The status values and parameters derived by the utility function F 2  can vary. For example, in the illustrated embodiment, the utility function F 2  reports remaining volumes to be processed, remaining processing times, and the component collection volumes and rates.  
         [0068]    Another utility function F 3  calculates and recommends, based upon the platelet yield derived by the utility function F 1 , the optimal storage parameters for the platelets in terms of the number of storage containers and the volume amount of PPP storage media to use.  
         [0069]    Other utility functions generate control variables based upon ongoing processing conditions for use by the applications control manager  46  to establish and maintain optimal processing conditions. For example, one utility function F 4  generates control variables to optimize platelet separation conditions in the first stage  24 . Another utility function F 5  generates control variables to control the rate at which citrate anticoagulant is returned with the PPP to the donor to avoid potential citrate toxicity reactions.  
         [0070]    Yet another utility function F 6  derives an estimated procedure time, which predicts the collection time before the donor is connected.  
         [0071]    Further details of these utility functions F 1  to F 6  will now be described in greater detail.  
         [0072]    III. Deriving Platelet Yield  
         [0073]    The utility function F 1  (see FIG. 4) makes continuous calculations of the platelet separation efficiency (η Plt ) of the system  10 . The utility function F 1  treats the platelet separation efficiency η Ptl  as being the same as the ratio of plasma volume separated from the donor&#39;s whole blood relative to the total plasma volume available in the whole blood. The utility function F 1  thereby assumes that every platelet in the plasma volume separated from the donor&#39;s whole blood will be harvested.  
         [0074]    The donor&#39;s hematocrit changes due to anticoagulant dilution and plasma depletion effects during processing, so the separation efficiency η Plt  does not remain at a constant value, but changes throughout the procedure. The utility function F 1  contends with these process-dependent changes by monitoring yields incrementally. These yields, called incremental cleared volumes (ΔClrVol), are calculated by multiplying the current separation efficiency η Plt  by the current incremental volume of donor whole blood, diluted with anticoagulant, being processed, as follows:  
         Δ ClrVol=ACDil×η   Plt   ×ΔVOL   Proc   Eq (1)  
         [0075]    where:  
         [0076]    ΔVOl Proc  is the incremental whole blood volume being processed, and  
         [0077]    ACDil is an anticoagulant dilution factor for the incremental whole blood volume, computed as follows:  
             ACDil   =       A                 C         A                 C     +   1               Eq                   (   2   )                                 
 
         [0078]    where:  
         [0079]    AC is the selected ratio of whole blood volume to anticoagulant volume (for example 10:1 or “10”). AC may comprise a fixed value during the processing period. Alternatively, AC may be varied in a staged fashion according to prescribed criteria during the processing period.  
         [0080]    For example, AC can be set at the outset of processing at a lesser ratio for a set initial period of time, and then increased in steps after subsequent time periods; for example, AC can be set at 6:1 for the first minute of processing, then raised to 8:1 for the next 2.5 to 3 minutes; and finally raised to the processing level of 10:1.  
         [0081]    The introduction of anticoagulant can also staged by monitoring the inlet pressure of PRP entering the second processing stage  32 . For example, AC can be set at 6:1 until the initial pressure (e.g. at 500 mmHg) falls to a set threshold level (e.g., 200 mmHg to 300 mmHg). AC can then be raised in steps up to the processing level of 10:1, while monitoring the pressure to assure it remains at the desired level.  
         [0082]    The utility function F 1  also makes continuous estimates of the donor&#39;s current circulating platelet count (Plt Circ ), expressed in terms of 1000 platelets per microliter (μl) of plasma volume (or k/μl) Like η Plt , Plt Circ  will change during processing due to the effects of dilution and depletion. The utility function F 1  incrementally monitors the platelet yield in increments, too, by multiplying each incremental cleared plasma volume ΔClrVol (based upon an instantaneous calculation of η Plt ) by an instantaneous estimation of the circulating platelet count Plt Cir . The product is an incremental platelet yield (Δyld), typically expressed as en platelets, where e n =0.5×10 n  platelets (e 11 =0.5×10 11  platelets).  
         [0083]    At any given time, the sum of the incremental platelet yields ΔYld constitutes the current platelet yield Yld Current , which can also be expressed as follows:  
               Yld   Current     =       Yld   Old     +       Δ                 ClrVol   ×     Plt   Cur         100   ,   000                 Eq                   (   3   )                                 
 
         [0084]    where:  
         [0085]    Yld Old  is the last calculated Yld Current , and  
               Δ                 Yld     =       Δ                 ClrVol   ×     Plt   Current         100   ,   000               Eq                   (   4   )                                 
 
         [0086]    where:  
         [0087]    Plt Current  is the current (instantaneous) estimate of the circulating platelet count of the donor.  
         [0088]    ΔYld is divided by 100,000 in Eq (4) to balance units.  
         [0089]    The following provides further details in the derivation of the above-described processing variables by the utility function F 1 .  
         [0090]    A. Deriving Overall Separation Efficiency η Plt    
         [0091]    The overall system efficiency η Plt  is the product of the individual efficiencies of the parts of the system, as expressed as follows:  
         η plt =η 1stSep ×η 2ndSep ×η Anc   Eq (5)  
         [0092]    where:  
         [0093]    η 1stSep  is the efficiency of the separation of PRP from WB in the first separation stage.  
         [0094]    η 2ndSep  is the efficiency of separation PC from PRP in the second separation stage.  
         [0095]    η Anc  is the product of the efficiencies of other ancillary processing steps in the system.  
         [0096]    1. First Stage Separation Efficiency η 1stSep    
         [0097]    The utility function F 1  (see FIG. 4) derives η 1stSep  continuously over the course of a procedure based upon measured and empirical processing values, using the following expression:  
               η   Sep     =       Q   p         (     1   -     H   b       )          Q   b                 Eq                   (   6   )                                 
 
         [0098]    where:  
         [0099]    Q b  is the measured whole blood flow rate (in ml/min).  
         [0100]    Q p  is the measured PRP flow rate (in ml/min).  
         [0101]    H b  is the apparent hematocrit of the anticoagulated whole blood entering the first stage separation compartment. H b  is a value derived by the utility based upon sensed flow conditions and theoretical considerations. The utility function F 1  therefore requires no on-line hematocrit sensor to measure actual WB hematocrit.  
         [0102]    The utility function F 1  derives H b  based upon the following relationship:  
               H   b     =         H   rbc          (       Q   b     -     Q   p       )         Q   b               Eq                   (   7   )                                 
 
         [0103]    where:  
         [0104]    H rbc  is the apparent hematocrit of the RBC bed within the first stage separation chamber, based upon sensed operating conditions and the physical dimensions of the first stage separation chamber. As with H b , the utility function F 1  requires no physical sensor to determine H rbc , which is derived by the utility function according to the following expression:  
               H   rbc     =     1   -       (       β     gA                 κ                   S   ϒ              (       q   b     -     q   p       )       )       1     k   +   1                   Eq                   (   8   )                                 
 
         [0105]    where:  
         [0106]    q b  is inlet blood flow rate (cm 3 /sec), which is a known quantity which, when converted to ml/min, corresponds with Q b  in Eq (6).  
         [0107]    q p  is measured PRP flow rate (in cm 3 /sec), which is a known quantity which, when converted to ml/min corresponds with Q p  in Eq (6).  
         [0108]    β is a shear rate dependent term, and S Y  is the red blood cell sedimentation coefficient (sec). Based upon empirical data, Eq (8) assumes that β/S Y =15.8×10 6  sec −1 .  
         [0109]    A is the area of the separation chamber (cm 2 ), which is a known dimension.  
         [0110]    g is the centrifugal acceleration (cm/sec 2 ), which is the radius of the first separation chamber (a known dimension) multiplied by the rate of rotation squared Q 2  (rad/sec 2 ) (another known quantity).  
         [0111]    k is a viscosity constant= 0 . 625 , and κ is a viscosity constant based upon k and another viscosity constant α=4.5, where:  
             κ   =             k   +   2     α          [       k   +   2       k   +   1       ]         k   +   1       =   1.272             Eq                   (   9   )                                 
 
         [0112]    Eq (8) is derived from the relationships expressed in the following Eq (10):  
                   H   rbc          (     1   -     H   rbc       )         (     k   +   1     )       =       β                   H   b          q   b         g                 A                 κ                   S   ϒ                 Eq                   (   10   )                                 
 
         [0113]    set forth in Brown,  The Physics of Continuous Flow Centrifugal Cell Separation,  “Artificial Organs” 1989; 13(1):4-20)). Eq (8) solves Eq (10) for H rbc .  
         [0114]    2. The Second Stage Separation Efficiency η 2ndSep    
         [0115]    The utility function F 1  (see FIG. 4) also derives η 2ndSep  continuously over the course of a procedure based upon an algorithm, derived from computer modeling, that calculates what fraction of log-normally distributed platelets will be collected in the second separation stage  32  as a function of their size (mean platelet volume, or MPV), the flow rate (Q p ), area (A) of the separation stage  32 , and centrifugal acceleration (g, which is the spin radius of the second stage multiplied by the rate of rotation squared Ω 2 ).  
         [0116]    The algorithm can be expressed in terms of a function shown graphically in FIG. 8. The graph plots η 2ndSep  in terms of a single dimensionless parameter gAS p /Q p ,  
         [0117]    where:  
         [0118]    S p =1.8×10 −9  MPV 2/3  (sec), and  
         [0119]    MPV is the mean platelet volume (femtoliters, fl, or cubic microns), which can be measured by conventional techniques from a sample of the donor&#39;s blood collected before processing. There can be variations in MPV due to use of different counters. The utility function therefore may include a look up table to standardize MPV for use by the function according to the type of counter used. Alternatively, MPV can be estimated based upon a function derived from statistical evaluation of clinical platelet precount Plt PRE  data, which the utility function can use. The inventor believes, based upon his evaluation of such clinical data, that the MPV function can be expressed as:  
           MPV ( f l)=11.5−0.009 Plt   PRE ( k/μl )  
         [0120]    3. Ancillary Separation Efficiencies η Anc    
         [0121]    η Anc  takes into account the efficiency (in terms of platelet loss) of other portions of the processing system. η Anc  takes into account the efficiency of transporting platelets (in PRP) from the first stage chamber to the second stage chamber; the efficiency of transporting platelets (also in PRP) through the leukocyte removal filter; the efficiency of resuspension and transferral of platelets (in PC) from the second stage chamber after processing; and the efficiency of reprocessing previously processed blood in either a single needle or a double needle configuration.  
         [0122]    The efficiencies of these ancillary process steps can be assessed based upon clinical data or estimated based upon computer modeling. Based upon these considerations, a predicted value for η Anc  can be assigned, which Eq (5) treats as constant over the course of a given procedure.  
         [0123]    B. Deriving Donor Platelet Count (Plt Circ )  
         [0124]    The utility function F 1  (see FIG. 4)relies upon a kinetic model to predict the donor&#39;s current circulating platelet count Plt Circ  during processing. The model estimates the donor&#39;s blood volume, and then estimates the effects of dilution and depletion during processing, to derive Plt Circ , according to the following relationships:  
           Plt   Circ =[(Dilution)× Plt   pre ]−(Depletion)  Eq (11)  
         [0125]    where:  
         [0126]    Plt pre  is the donor&#39;s circulating platelet count before processing begins (k/μl), which can be measured by conventional techniques from a sample of whole blood taken from the donor before processing. There can be variations in Plt pre  due to use of different counters (see, e.g., Peoples et al., “A Multi-Site Study of Variables Affecting Platelet Counting for Blood Component Quality Control,” Transfusion (Special Abstract Supplement, 47th Annual Meeting), v. 34, No. 10S, October 1994 Supplement). The utility function therefore may include a look up table to standardize all platelet counts(such as, Plt pre  and Pltpost, described later) for use by the function according to the type of counter used.  
         [0127]    Dilution is a factor that reduces the donor&#39;s preprocessing circulating platelet count Plt pre  due to increases in the donor&#39;s apparent circulating blood volume caused by the priming volume of the system and the delivery of anticoagulant. Dilution also takes into account the continuous removal of fluid from the vascular space by the kidneys during the procedure.  
         [0128]    Depletion is a factor that takes into account the depletion of the donor&#39;s available circulating platelet pool by processing. Depletion also takes into account the counter mobilization of the spleen in restoring platelets into the circulating blood volume during processing.  
         [0129]    1. Estimating Dilution  
         [0130]    The utility function F 1  estimates the dilution factor based upon the following expression:  
             Dilution   =     1   -       Prime   +       2      ACD     3     -   PPP       Don                 Vol                 Eq                   (   12   )                                 
 
         [0131]    where:  
         [0132]    Prime is the priming volume of the system (ml).  
         [0133]    ACD is the volume of anticoagulant used (current or end-point, depending upon the time the derivation is made)(ml).  
         [0134]    PPP is the volume of PPP collected (current or goal) (ml).  
         [0135]    DonVol (ml) is the donor&#39;s blood volume based upon models that take into account the donor&#39;s height, weight, and sex. These models are further simplified using empirical data to plot blood volume against donor weight linearized through regression to the following, more streamlined expression:  
           DonVol= 1024+51 Wgt ( r   2 =0.87)  Eq (13)  
         [0136]    where:  
         [0137]    Wgt is the donor&#39;s weight (kg).  
         [0138]    2. Estimating Depletion  
         [0139]    The continuous collection of platelets depletes the available circulating platelet pool. A first order model predicts that the donor&#39;s platelet count is reduced by the platelet yield (Yld) (current or goal) divided by the donor&#39;s circulating blood volume (DonVol), expressed as follows:  
             Depl   =       100   ,   000                 Yld     DonVol             Eq                   (   14   )                                 
 
         [0140]    where:  
         [0141]    Yld is the current instantaneous or goal platelet yield (k/μl). In Eq (14), Yld is multiplied by 100,000 to balance units.  
         [0142]    Eq (14) does not take into account splenic mobilization of replacement platelets, which is called the splenic mobilization factor (or Spleen). Spleen indicates that donors with low platelets counts nevertheless have a large platelet reserve held in the spleen. During processing, as circulating platelets are withdrawn from the donor&#39;s blood, the spleen releases platelets it holds in reserve into the blood, thereby partially offsetting the drop in circulating platelets. The inventor has discovered that, even though platelet precounts vary over a wide range among donors, the total available platelet volume remains remarkably constant among donors. An average apparent donor volume is 3.10±0.25 ml of platelets per liter of blood. The coefficient of variation is 8.1%, only slightly higher than the coefficient of variation in hematocrit seen in normal donors.  
         [0143]    The inventor has derived the mobilization factor Spleen from comparing actual measured depletion to Dep1 (Eq (14)), which is plotted and linearized as a function of Plt Pre . Spleen (which is restricted to a lower limit of 1) is set forth as follows:  
         Spleen=[2.25−0.004 Plt   Pre ]≧1  Eq (15)  
         [0144]    Based upon Eqs (14) and (15), the utility function derives Depletion as follows:  
             Depletion              =       100   ,   000      Yld       Spleen   ×   Don                 Vol               Eq                   (   16   )                                 
 
         [0145]    C. Real Time Procedure Modifications  
         [0146]    The operator will not always have a current platelet pre-count Plt Pre  for every donor at the beginning of the procedure. The utility function F 1  allows the system to launch under default parameters, or values from a previous procedure. The utility function F 1  allows the actual platelet pre-count Plt Pre , to be entered by the operator later during the procedure. The utility function F 1  recalculates platelet yields determined under one set of conditions to reflect the newly entered values. The utility function F 1  uses the current yield to calculate an effective cleared volume and then uses that volume to calculate the new current yield, preserving the platelet pre-count dependent nature of splenic mobilization.  
         [0147]    The utility function F 1  uses the current yield to calculate an effective cleared volume as follows:  
             ClrVol   =       100        ,   000   ×   Don                 Vol   ×     Yld   Current                   [     DonVol   -   Prime   -     ACD   3     +     PPP   2       ]     -                 50   ,   000   ×     Yld   current         Spleen   Old                       Eq                   (   17   )                                 
 
         [0148]    where:  
         [0149]    ClrVol is the cleared plasma volume.  
         [0150]    DonVol is the donor&#39;s circulating blood volume, calculated according to Eq (13).  
         [0151]    Yld Current  is the current platelet yield calculated according to Eq (3) based upon current processing conditions.  
         [0152]    Prime is the blood-side priming volume (ml).  
         [0153]    ACD is the volume of anticoagulant used (ml).  
         [0154]    PPP is the volume of platelet-poor plasma collected (ml).  
         [0155]    Pre Old  is the donor&#39;s platelet count before processing entered before processing begun (k/μl).  
         [0156]    Spleen Old  is the splenic mobilization factor calculated using Eq (16) based upon Pre Old .  
         [0157]    The utility function F 1  uses ClrVol calculated using Eq (17) to calculate the new current yield as follows:  
               Yld   New     =             [       [     DonVol   -   Prime   -     ACD   3     +     PPP   2       ]         Don                 Vol     +     ClrVol     2   ×     Spleen   New             ]     ×           [       ClrVol   ×     Pre   New         100        ,   000         ]                   Eq                   (   18   )                                 
 
         [0158]    where:  
         [0159]    Pre New  is the revised donor platelet pre-count entered during processing (k/μl).  
         [0160]    Yld New  is the new platelet yield that takes into account the revised donor platelet pre-count Pre New .  
         [0161]    ClrVol is the cleared plasma volume, calculated according to Eq (17).  
         [0162]    DonVol is the donor&#39;s circulating blood volume, calculated according to Eq (13), same as in Eq (17).  
         [0163]    Prime is the blood-side priming volume (ml), same as in Eq (17).  
         [0164]    ACD is the volume of anticoagulant used (ml), same as in Eq (17).  
         [0165]    PPP is the volume of platelet-poor plasma collected (ml), same as in Eq (17).  
         [0166]    Spleen New  is the splenic mobilization factor calculated using Eq (15) based upon Pre New .  
         [0167]    IV. Deriving Other Processing Information  
         [0168]    The utility function F 2  (see FIG. 5) relies upon the calculation of Yld by the first utility function F 1  to derive other informational values and parameters to aid the operator in determining the optimum operating conditions for the procedure. The follow processing values exemplify derivations that the utility function F 2  can provide.  
         [0169]    A. Remaining Volume to be Processed  
         [0170]    The utility function F 2  calculates the additional processed volume needed to achieve a desired platelet yield Vb rem  (in ml) by dividing the remaining yield to be collected by the expected average platelet count over the remainder of the procedure, with corrections to reflect the current operating efficiency η Plt . The utility function F 2  derives this value using the following expression:  
               Vb     re                 m       =       200   ,   000   ×     (       Yld   Goal     -     Yld   Current       )           η   Plt     ×   ACDil   ×     (       Plt   Current     +     Plt   Post       )                 Eq                   (   19   )                                 
 
         [0171]    where:  
         [0172]    Yld Goal  is the desired platelet yield (k/μl), where:  
         [0173]    Vb rem  is the additional processing volume (ml) needed to achieve Yld Goal .  
         [0174]    Yld Current  is the current platelet yield (k/μl) calculated using Eq (3) based upon current processing values.  
         [0175]    η Pit  is the present (instantaneous) platelet collection efficiency, calculated using Eq (5) based upon current processing values.  
         [0176]    ACDil is the anticoagulant dilution factor (Eq (2))  
         [0177]    Plt current  is the current (instantaneous) circulating donor platelet count, calculated using Eq (11) based upon current processing values.  
         [0178]    Plt Post  is the expected donor platelet count after processing, also calculated using Eq (11) based upon total processing values.  
         [0179]    B. Remaining Procedure Time  
         [0180]    The utility function F 2  also calculates remaining collection time (t rem ) (in min) as follows:  
               t     r                 em       =       Vb     r                 em         Q   b               Eq                   (   20   )                                 
 
         [0181]    where:  
         [0182]    Vb rem  is the remaining volume to be processed, calculated using Eq (19) based upon current processing conditions.  
         [0183]    Qb is the whole blood flow rate, which is either set by the user or calculated as Qb Opt , using Eq (31), as will be described later.  
         [0184]    C. Plasma Collection  
         [0185]    The utility function F 2  adds the various plasma collection requirements to derive the plasma collection volume (PPP Goal ) (in ml) as follows:  
           PPP   Goal   =PPP   PC   =PPP   Source   =PPP   Reinfuse   =PPP   Waste   =PPP   CollCham   Eq (21)  
         [0186]    where:  
         [0187]    PPP PC  is the platelet-poor plasma volume selected for the PC product, which can have a typical default value of 250 ml, or be calculated as an optimal value Plt Med  according to Eq (28), as will be described later.  
         [0188]    PPP Source  is the platelet-poor plasma volume selected for collection as source plasma.  
         [0189]    PPP Waste  is the platelet-poor plasma volume selected to be held in reserve for various processing purposes (Default=30 ml).  
         [0190]    PPP CollCham  is the volume of the plasma collection chamber (Default=40 ml).  
         [0191]    PPP Reinfuse  is the platelet-poor plasma volume that will be reinfusion during processing.  
         [0192]    D. Plasma Collection Rate  
         [0193]    The utility function F 2  calculates the plasma collection rate (Q PPP ) (in ml/min) as follows:  
               Q   PPP     =         PPP   Goal     -     PPP   Current         t     re                 m                 Eq                   (   22   )                                 
 
         [0194]    where:  
         [0195]    PPP Goal  is the desired platelet-poor plasma collection volume (ml).  
         [0196]    PPP Current  is the current volume of platelet-poor plasma collected (ml).  
         [0197]    t rem  is the time remaining in collection, calculated using Eq (20) based upon current processing conditions.  
         [0198]    E. Total Anticipated AC Usage  
         [0199]    The utility function F 2  can also calculate the total volume of anticoagulant expected to be used during processing (ACD End ) (in ml) as follows:  
               ACD   End     =       ACD   Current     +         Q   b     ×     t     re                 m           1   +     A                 C                   Eq                   (   23   )                                 
 
         [0200]    where:  
         [0201]    ACD Current  is the current volume of anticoagulant used (ml).  
         [0202]    AC is the selected anticoagulant ratio,  
         [0203]    Q b  is the whole blood flow rate, which is either set by the user or calculated using Eq (31) as Qb Opt  based upon current processing conditions.  
         [0204]    t rem  is the time remaining in collection, calculated using Eq (20) based upon current processing conditions.  
         [0205]    V. Recommending Optimum Platelet Storage Parameters  
         [0206]    The utility function F 3  (see FIG. 6) relies upon the calculation of Yld by the utility function F 1  to aid the operator in determining the optimum storage conditions for the platelets collected during processing.  
         [0207]    The utility function F 3  derives the optimum storage conditions to sustain the platelets during the expected storage period in terms of the number of preselected storage containers required for the platelets Plt Bag  and the volume of plasma (PPP) Plt Med  (in ml) to reside as a storage medium with the platelets.  
         [0208]    The optimal storage conditions for platelets depends upon the volume being stored Plt Vol , expressed as follows:  
           Plt   Vol   =Yld×MPV   Eq (24)  
         [0209]    where:  
         [0210]    Yld is the number of platelets collected, and  
         [0211]    MPV is the mean platelet volume.  
         [0212]    As Plt Vol  increases, so too does the platelets&#39; demand for oxygen during the storage period. As Plt Vol  increases, the platelets&#39; glucose consumption to support metabolism and the generation of carbon dioxide and lactate as a result of metabolism also increase. The physical characteristics of the storage containers in terms of surface area, thickness, and material are selected to provide a desired degree of gas permeability to allow oxygen to enter and carbon dioxide to escape the container during the storage period.  
         [0213]    The plasma storage medium contains bicarbonate HCO 3 , which buffers the lactate generated by platelet metabolism, keeping the pH at a level to sustain platelet viability. As Plt Vol  increases, the demand for the buffer effect of HCO 3 , and thus more plasma volume during storage, also increases.  
         [0214]    A. Deriving Plt Bag    
         [0215]    The partial pressure of oxygen pO 2  (mmHg) of platelets stored within a storage container having a given permeation decreases in relation to the total platelet volume Plt vol  the container holds. FIG. 9 is a graph based upon test data showing the relationship between pO 2  measured after one day of storage for a storage container of given permeation. The storage container upon which FIG. 9 is based has a surface area of 54.458 in 2  and a capacity of 1000 ml. The storage container has a permeability to O 2  of 194 cc/100 in 2 /day, and a permeability to CO 2  1282 cc/100 in 2 /day.  
         [0216]    When the partial pressure pO 2  drops below 20 mmHg, platelets are observed to become anaerobic, and the volume of lactate byproduct increases significantly. FIG. 9 shows that the selected storage container can maintain pO 2  of 40 mmHg (well above the aerobic region) at Plt Vol ≦4.0 ml. On this conservative basis, the 4.0 ml volume is selected as the target volume Plt TVol  for this container. Target volumes Plt TVol  for other containers can be determined using this same methodology.  
         [0217]    The utility function F 3  uses the target platelet volume Plt TVol  to compute Plt Bag  as follows:  
             BAG   =       Plt   Vol       Plt   TVol               Eq                   (   25   )                                 
 
         [0218]    and:  
         [0219]    Plt Bag =1 when BAG≦1.0, otherwise  
         [0220]    Plt Bag =[BAG+1], where [BAG+1] is the integer part of the quantity BAG+1.  
         [0221]    For example, given a donor MPV of 9.5 fl, and a Yld of 4×10 11  platelets (Plt Vol =3.8 ml), and given Plt TVol =4.0 ml, BAG=0.95, and Plt Bag =1. If the donor MPV is 11.0 fl and the yield Yld and Plt TVol  remain the same (Plt Vol =4.4 ml), BAG=1.1 and Plt Bag =2.  
         [0222]    When Plt Bag &gt;1, Plt Vol  is divided equally among the number of containers called for.  
         [0223]    B. Deriving Plt Med    
         [0224]    The amount of bicarbonate used each day is a function of the storage thrombocytocrit Tct (%), which can be expressed as follows:  
             Tct   =       Plt   Vol       Plt   Med               Eq                   (   26   )                                 
 
         [0225]    The relationship between bicarbonate HCO 3  consumption per day and Tct can be empirically determined for the selected storage container. FIG. 10 shows a graph showing this relationship for the same container that the graph in FIG. 9 is based upon. The y-axis in FIG. 10 shows the empirically measured consumption of bicarbonate per day (in Meq/L) based upon Tct for that container. The utility function F 3  includes the data expressed in FIG. 10 in a look-up table.  
         [0226]    The utility function F 3  derives the anticipated decay of bicarbonate per day over the storage period ΔHCO 3  as follows:  
               Δ                   HCO   3       =       Don     HCO   3       Stor             Eq                   (   27   )                                 
 
         [0227]    where:  
         [0228]    Don HCO3  is the measured bicarbonate level in the donor&#39;s blood (Meq/L), or alternatively, is the bicarbonate level for a typical donor, which is believed to be 19.0 Meq/L±1.3, and  
         [0229]    Stor is the desired storage interval (in days, typically between 3 to 6 days).  
         [0230]    Given ΔHCO 3 , the utility function F 3  derives Tct from the look up table for selected storage container. For the storage container upon which FIG. 10 is based, a Tct of about 1.35 to 1.5% is believed to be conservatively appropriate in most instances for a six day storage interval.  
         [0231]    Knowing Tct and Plt Vol , the utility function F 3  computes Plt Med  based upon Eq (25), as follows:  
               Plt   Med     =       Plt   Vol       Tct   100               Eq                   (   28   )                                 
 
         [0232]    When Plt Bag &gt;1, Plt Med  is divided equally among the number of containers called for. PPP PC  is set to Plt Med  in Eq (21).  
         [0233]    VI. Deriving Control Variables  
         [0234]    The utility functions F 4  and F 5  rely upon the above-described matrix of physical and physiological relationships to derive process control variables, which the application control manager  46  uses to optimize system performance. The follow control variables exemplify derivations that the utility functions F 4  and F 5  can provide for this purpose.  
         [0235]    A. Promoting High Platelet Separation Efficiencies by Recirculation  
         [0236]    A high mean platelet value MPV for collected platelets is desirable, as it denotes a high separation efficiency for the first separation stage and the system overall. Most platelets average about 8 to 10 femtoliters, as measured by the Sysmex K-1000 machine (the smallest of red blood cells begin at about 30 femtoliters). The remaining minority of the platelet population constitutes platelets that are physically larger. These larger platelets typically occupy over 15×10 −15  liter per platelet, and some are larger than 30 femtoliters. These larger platelets settle upon the RBC interface in the first separation chamber quicker than most platelets. These larger platelets are most likely to become entrapped in the RBC interface and not enter the PRP for collection. Efficient separation of platelets in the first separation chamber lifts the larger platelets from the interface for collection in the PRP. This, in turn, results a greater population of larger platelets in the PRP, and therefore a higher MPV.  
         [0237]    [0237]FIG. 11, derived from clinical data, shows that the efficiency of platelet separation, expressed in terms of MPV, is highly dependent upon the inlet hematocrit of WB entering the first stage processing chamber. This is especially true at hematocrits of 30% and below, where significant increases in separation efficiencies can be obtained.  
         [0238]    Based upon this consideration, the utility function F 4  sets a rate for recirculating PRP back to the inlet of the first separation stage Q ReCirc  to achieve a desired inlet hematocrit H 1  selected to achieve a high MPV. The utility function F 4  selects H 1  based upon the following red cell balance equation:  
               Q   Recirc     =       [         H   b       H   i       -   1     ]     ×     Q   b               Eq                   (   29   )                                 
 
         [0239]    In a preferred implementation, H 1  is no greater that about 40%, and, most preferably, is about 32%.  
         [0240]    B. Citrate Infusion Rate  
         [0241]    Citrate in the anticoagulant is rapidly metabolized by the body, thus allowing its continuous infusion in returned PPP during processing. However, at some level of citrate infusion, donors will experience citrate toxicity. These reactions vary in both strength and nature, and different donors have different threshold levels. A nominal a-symptomatic citrate infusion rate (CIR), based upon empirical data, is believed to about 1.25 mg/kg/min. This is based upon empirical data that shows virtually all donors can tolerate apheresis comfortably at an anticoagulated blood flow rates of 45 ml/min with an anticoagulant (ACD-A anticoagulant) ratio of 10:1.  
         [0242]    Taking into account that citrate does not enter the red cells, the amount given to the donor can be reduced by continuously collecting some fraction of the plasma throughout the procedure, which the system accomplishes. By doing so, the donor can be run at a higher flow rate than would be expected otherwise. The maximum a-symptomatic equivalent blood flow rate (EqQb CIR ) (in ml/min) under these conditions is believed to be:  
               EqQb   CIR     =       CIR   ×     (       A                 C     +   1     )     ×   Wgt     CitrateConc             Eq                   (   30   )                                 
 
         [0243]    where:  
         [0244]    CIR is the selected nominal a-symptomatic citrate infusion rate, or 1.25 mg/kg/min.  
         [0245]    AC is the selected anticoagulant ratio, or 10:1.  
         [0246]    Wgt is the donor&#39;s weight (kg).  
         [0247]    CitrateConc is the citrate concentration in the selected anticoagulant, which is 21.4 mg/ml for ACD-A anticoagulant.  
         [0248]    C. Optimum Anticoagulated Blood Flow  
         [0249]    The remaining volume of plasma that will be returned to the donor is equal to the total amount available reduced by the amount still to be collected. This ratio is used by the utility function F 5  (see FIG. 5) to determine the maximum, or optimum, a-symptomatic blood flow rate (Qb Opt ) (in ml/min) that can be drawn from the donor, as follows:  
               Qb   Opt     =           (     1   -     H   b       )     ×     Vb     re                 m               (     1   -     H   b       )     ×     Vb     re                 m         -     (       PPP   Goal     -     PPP   Current       )         ×     EqQb   CIR               Eq                   (   31   )                                 
 
         [0250]    where:  
         [0251]    H b  is the anticoagulated hematocrit, calculated using Eq (7) based upon current processing conditions.  
         [0252]    Vb Rem  is the remaining volume to be processed, calculated using Eq (19) based upon current processing conditions.  
         [0253]    EqQB CIR  is the citrate equivalent blood flow rate, calculated using Eq (30) based upon current processing conditions.  
         [0254]    PPP Goal  is the total plasma volume to be collected (ml).  
         [0255]    PPP Current  is the current plasma volume collected (ml).  
         [0256]    VII. Estimated Procedure Time  
         [0257]    The utility function F 6  (see FIG. 7) derives an estimated procedure time (t) (in min), which predicts the collection time before the donor is connected. To derive the estimated procedure time t, the utility function F 6  requires the operator to input the desired yield Yld Goal  and desired plasma collection volume PPP Goal , and further requires the donor weight Wgt, platelet pre-count Plt Pre , and hematocrit H b  or a default estimate of it. If the operator wants recommended platelet storage parameters, the utility function requires MPV as an input.  
         [0258]    The utility function F 6  derives the estimated procedure time t as follows: Eq (32)  
                 t   =         -   b     +         b   2     -     4      a                 c             2      a                         
          where        :              
             Eq                   (   32   )                 a   =           H   eq     -     H   b         (     1   -     H   b       )            EqQb   CIR               Eq                   (   33   )                 b   =           (       H   eq     -     H   b     -     λ                   H   b          EqQb   CIR         )        PPP         (     1   -     H   b       )     2       -       H   Eq        PV               Eq                   (   34   )                 c   =       [     PV   -     PPP       (     1   -     H   b       )     2         ]            λ                   H   b        PPP       (     1   -     H   b       )                 Eq                   (   35   )                                 
 
         [0259]    and where:  
         [0260]    H eq  is a linearized expression of the RBC hematocrit H RBC , as follows:  
           H   eq =0.9489−λ H   b   EqQb   CIR   Eq (36)  
         [0261]    where:  
         [0262]    H b  is the donor&#39;s anticoagulated hematocrit, actual or default estimation.  
         [0263]    EqQb CIR  is the maximum a-symptomatic equivalent blood flow rate calculated according to Eq (30). and  
             λ   =       61   ,   463       Ω   2               Eq                   (   37   )                                 
 
         [0264]    where:  
         [0265]    Ω is the rotation speed of the processing chamber (rpm).  
         [0266]    and where:  
         [0267]    PPP is the desired volume of plasma to be collected (ml).  
         [0268]    PV is the partial processed volume, which is that volume that would need to be processed if the overall separation efficiency η Plt  was 100%, derived as follows:  
             PV   =     ClrVol       η   Anc     ×     η     2      ndSep       ×   A                 CDil               Eq                   (   38   )                                 
 
         [0269]    where:  
         [0270]    ACDil is the anticoagulant dilution factor (Eq (2)).  
         [0271]    ClrVol is the cleared volume, derived as:  
             ClrVol   =       100   ,   000   ×   DonVol   ×   Yld               [     DonVol   -   Prime   -       ACD   Est     3     +     PPP   2       ]     ×                 Plt   Pre     -       50   ,   000   ×   Yld     Spleen                       Eq                   (   39   )                                 
 
         [0272]    where:  
         [0273]    Yld is the desired platelet yield.  
         [0274]    DonVol is the donor&#39;s blood volume=1024+51 Wgt (ml).  
         [0275]    Prime is the blood side priming volume of the system (ml).  
         [0276]    ACD Est  is the estimated anticoagulant volume to be used (ml).  
         [0277]    Plt Pre  is the donor&#39;s platelet count before processing, or a default estimation of it.  
         [0278]    Spleen is the is the splenic mobilization factor calculated using Eq (16) based upon Plt Pre .  
         [0279]    The function F 6  also derives the volume of whole blood needed to be processed to obtain the desired Yld Goal . This processing volume, WBVol, is expressed as follows:  
       WBVol   =       t   ×     EqQb   CIR     ×       PPP   GOAL       (     1   -     H   b       )         +     WB   RES                             
 
         [0280]    where:  
         [0281]    t is the estimated procedure time derived according to Eq (32).  
         [0282]    H b  is the donor&#39;s anticoagulated hematocrit, actual or default estimation.  
         [0283]    EqQb CIR  is the maximum a-symptomatic equivalent blood flow rate calculated according to Eq (30).  
         [0284]    PPP GOAL  is the desired plasma collection volume.  
         [0285]    WB RES  is the residual volume of whole blood left in the system after processing, which is a known system variable and depends upon the priming volume of the system.  
         [0286]    Various features of the inventions are set forth in the following claims.