PLASMAPHERESIS PROCESS

Abstract: Hollow fiber plasmapheresis module and process, said module comprising hollow fibers having cell-retaining pores and an effective length (L) to lumen diameter (D) ratio L/D not greater than 16,400 cm⁻¹ D (L and D being in centimeters) within a housing having a blood inlet for conducting blood to the fibers, an outlet for conducting exit (plasma-depleted) blood from the fibers, and a plasma outlet for conducting plasma out of the module.

Description: TITLE Hollow Fiber Plasmapheresis Module and Process TECHNICAL FIELD This invention relates to plasmapheresis using microporous hollow fibers. BACKGROUND INFORMATION Plasmapheresis is a process of separating plasma from whole blood. The plasma-depleted blood is comprised principally of cellular components, e.g., red blood cells, white blood cells and platelets. Plasma is comprised largely of water, but also contains proteins and various other non-cellular compounds, both organic and inorganic. Plasmapheresis is currently used to obtain plasma for various transfusion needs, e.g., preparation of fresh-frozen plasma for subsequent fractionation to obtain specific proteins such as serum albumin, to produce cell culture media, and for disease therapies involving either the replacement of plasma or removal of specific disease contributing factors from the plasma. Plasmapheresis can be carried out by centrifugation or micro filtration. Microfiltration apparatus generally utilize microporous membranes. The pores are cell-retaining pores, that is, the pores substantially retain cellular components but allow plasma to pass through. Typically, cell-retaining pores are of substantially uniform diameter and are of a size within the range 0.1 to 1.0 micrometer, that is, between membranes the ;ore size is within this range, but in any single membrane the pores are of substantially the same size. Various planar membrane devices are disclosed in the literature. These include various configurations of membranes and flow paths. In general, microporous hollow fibers are being increasingly used. Gurland et al., in a paper presented at the 1981 annual meeting of the American Society for Artificial Internal Organs, reported that three hollow fiber plasma pheresis modules were commercially available. These are the Plasmaflo 01, plasmaflo 02 and Plasmaflux, the first two utilizing cellulose diacetate membranes with a maximum pore size of 0.2 vm, and the third, utilizing polypropylene with a maximum pore size of 0.5 urn. Other features are listed below. Effective Effective Wall Lumen length surface thickness Module (urn) (cm) (M2) (urn) Plasma flo 01 370 about 20 0.65 160 Plasma flo 02 330 about 20 0.5 60 Plasma flux 330 about 20 0.5 140 "Continuous plasmapheresis", as the term is used herein, is the process of continuously separating plasma fro whole blood. Thus, as the term is used herein, "continuous plasmapheresis", and the apparatus needed to carry out a continuous plasmapheresis, must be able to provide, from whole blood, sufficient plasma, for example, at least about 500 mL, in a relatively sht time, for example, 15 minutes to 3 hours, without substantial fouling of the membrane pores. The whole blood used in this invention either can be provided--directly by a donor or patient or it can first be collected from a donor or patient and subsequently i-ntroduced into the apparatus of this invention, for exarnple, from a reservoir. It is an object of this invention to provide a hollow fiber plasmapheresis module which provides a high rate of plasma collection per unit area of membrane and which thus requires a small extracorporeal blood volume and a small surface area of membrane material, considered a foreign material to the blood. Another object is to provide such a module which not only provides a high plasma flux but also a high hematocrit in the plasma-depleted fraction. A further object is to provide a module which can operate continuously for longer periods of time than conventional plasmapheresis modules, thus making it suitable for use in continuous plasmapheresis. Another object is to provide such a module which is easy to assemble and easy to use without making extensive adjustments. A further object is to provide a plasmapheresis process employing hollow fiber membranes. Other objects will become apparent hereinafter. BRIEF DESCRIPTION OF THE DRAWINGS Figure 1 is a flow diagram which shows the hollow fiber module of the invention as it may be used with attendant communicating apparatus in carrying out a continuous plasmapheresis in either the steady state/recycle or pulsed flow mode of the invention. Figure 2 is an enlarged view of a part of Figure 1 to snow the direction of blood flow in the recycle mode of the invention. Figure 3 shows the direction of blood flow on the forward stroke of the pulser pump in the pulsed flow mode of the invention, and Figure 4 shows the direction of blood flow on the reverse stroke in this mode of operation. Figure 5 snows the variation of transmembrane pressure difference with variation of membrane pore size; thus a higher transmembrane pressure difference can be. tolerated as the pore size is decreased. SUMMARY OF THE INVENTION Patent I 82303831.0 (Publlcation :o. In European / Application No./ are dis-0070738) closed and claimed process and apparatus for carrying out plasmapheresis using reciprocatory pulsatile blood flow across a porous membrane, such as a flat membrane or hollow fibers. The instant invention involves the use of hollow fibers but, unlike the earlier in':ention, the flow of blood across the membrane can be either of the reciprocatory pulsatile type or of the steady state type. The steady state type invention also includes a variation wherein a recycle blood flow is employed. Figure 1 depicts an apparatus for carrying out either the steady state/recycle or pulsed flow mode of the invention. Such an apparatus without the left pump and recycle loop can be used on carry out the steady state mode of the invention. The invention herein resides in a hollow fiber plasmapheresis module comprising hollow fibers having cell-retaining pores and an- effective length substantially less than that commonly used in the art, within a housing having a blood inlet for conducting blood to the fibers, an outlet for conducting exit (plasma-depleted) blood from the fibers, and a plasma outlet for conducting plasma out of the module. The invention also resides in a process for using the aforesaid module for carrying out a plasmapheresis, especially on a continuous basis on a human subject. The immediately-following discussion is directed to the mechanics of steady state, recycle and reciprocatory pulsatile flow (pulsed flow) embodiments of the invention. Variables with each flow mode and their relationship to module performance are also discussed. STEADY STATE FLOW PLASMAPHERESIS The most desirable microporous hollow fiber plasmapheresis device removes the largest amount of plasma in the least amount of time, given the limited blood flow rate available from the patient. In this type of unit operating in the steady state flow mode, whole blood is pumped to one end of the fibers. As the blood flows through the fibers some of the plasma escapes through the pores, leaving blood at the outlet with a slightly elevated hematocrit. An adjustable clamp, valve or pump can be placed on the blood outlet line to maintain the desired level of pressure within the module. A problem with steady state flow is the interrelationship of outlet hematocrit and the quantity of plasma produced. Time is necessary for the plasma to be forced out through the pores. Faster blood flow rates allow more plasma to be produced, but a larger volume of whole blood is needed. The net result is that the hematocrit is lower than is obtained with slower blood flow rates. The optimum operating conditions thus depend on the goals set for the particular module. High hematocrit goals dictate a lower optimum blood flow rate, whereas peak plasma production requires faster blood flow rates. Under steady state flow conditions the best mode represents a compromise of these parameters. RECYCLE FLOW A variation of the steady state mode is the recycle flow mode wherein the flow of whole blood is augmented with some of the higher hematocrit blood that exits the fibers. A tubing loop and a pump are added to the device to recycle the higher hematocrit blood. This is shown in Figures 1 and 2. Figure 2 depicts the flow of blood in the tubing loop as going in a direction from the region of the module outlet to the region of the module inlet. It is to be understood that the recycle pump can also be installed so that the flow of blood in the tubing loop goes in the reverse direction. In the recycle mode, the velocity of blood flowing through the module is increased, which in turn enhances plasma production. This result is achieved without increasing the flow rate of the blood, for example, from the patient. The hematocrit of the incoming blood thus is increased before it enters the fibers due to the mixing of the inlet blood supply and the blood in the recycle loop which has already been filtered. By utilizing the recycle flow mode a higher hematocrit and increased plasma production, as compared to steady state flow, can be realized. However, under this mode of operation the hematocrit and plasma production decrease with increasing time of operation. The cause of this deterioration of results is related to blockage of the membrane pores by the blood cells, as will be described below. It is generally recognized in the art that the rate of plasma flow through the pores of the fiber (flux density) is usually not dependent on the transmembrane pressure (TMP) as long as the TMP is within certain limits (the "plateau region"). Below about 50 mm of Hg pressure plasma flow rises sharply with increasing pressure, as it does above about 175 mm of Hg pressure; above about 175 mm of Hg, however, there is grave risk of hemolysis. For a recycle flow plasmapheresis unit to be economically and medically acceptable, it should be operated in this "plateau region". Classical fluid mechanics equations can be written to demonstrate that the transmembrane pressure varies along the length of the fiber. Initially, plasma production is greatest in the area of the fiber membrane near the whole blood inlet (the upper end of the fibers) where the transmembrane pressure is in the plateau region. This pressure drops along the length of the fiber, falling to 0 mm of Hg, and then below 0 (with packed cell pumping), near the outlet (the lower end of the fibers) for the plasma-depleted blood (also referred to herein as "packed cells", "filtered blood" ona Xcellular-enriched blood. Tnis negative .HP draws some of the plasma that was forced through the pores along the upper end of the fibers back through the pores along the lower end of the fibers, resulting in a decrease in net plasma production. Thus, the long term performance of a plasmapheresis unit operated in the recycle flow mode can be subject to the adverse effects of negative TMP. In addition, the long term performance of the recycle mode is deficient due to another factor. As the module operation continues, some cellular components of the blood are drawn to the fiber pores with the plasma flow and block the pores, preventing further plasma flow through the pores. This pore blockage begins in the region of the fiber that experiences the highest transmembrane pressure, generally the region closest to the whole blood inlet. As the pores in this region become blocked, plasma flows through the next available open pores, in which event additional pore blockage takes place. Pore blockage continues down the fiber until all the pores are blocked. Pore blockage may be diminished, either by decreasing the inlet blood flow or by decreasing the transmembrane pressure. Either method undesirably reduces the plasma output and increases the time necessary for carrying out the plasmapheresis. RECIPROCATORY PULSATILE FLOW In this mode, also referred to as pulsed flow, the advantage of recycle flow, that is, increased blood velocity through the fibers, is retained, while the problem of cellular deposition in the pores is diminished. To operate in the pulsed flow mode, a tubing loop is included in the plasmapheresis unit to connect the two ends of the module, as shown in Figure 1. This loop includes a pulser pump which periodically reverses direction at a preselected frequency. The pump alternately draws blood from the exit (efferent) end of the unit and pumps it into the whole blood inlet (afferent) end of the unit on a forward stro;te (Figure 3), then reverses direction and draws blood from the afferent end of the module and pumps it into the efferent end on a reverse stroke (Figure 4). Along with the frequency, the length and/or velocity of each stroke can be set, these variables being useful in controlling the volume of blood passing through the loop. The volunxnof blood passing through the loop on the forward and reverse strokes need not be the same, and preferably are not the same. The volume of blood being pulsed in the system on the either stroke is at least 5%, preferably at least 10%, of the total volume of blood in the system. On the forward stroke when the inlet whole blood and the filtered (higher hematocrit) blood meet at the afferent end of the module, they are fornd through the fibers under an increased pressure. At the efferent end of the module the blood is under less pres sure and, in fact, this decreased pressure may, for example, as described hereinafter for a preferred embodiment, result in a partial vacuum. When the direction of the pulser pump is reversed, blood from the blood supply and from the module flows to the pulser loop and a partial vacuum may resuit at the afferent end of the module. Vacuum formation can be controlled by proper adjustment of a back pressure valve on the filtered blood outlet line. This valve, properly adjusted, is also useful in optimizing vacuum formation on the forward pump stroke. The blood exiting the pulser loop at the efferent end of the module can either flow up through the module or out through the filtered blood outlet. The net result is a smaller total flow through the module during the reverse stroke. Thus, the afferent end of the module and the forward stroke are the most efficient parts of the plasmapheresis unit for this mode of operation, and for this reason, it is preferred that the volume of liquid from the pulser loop be greater on the forward stroke than on the reverse stroke. Further regarding the operation of the pulper pump on the forward stroke, the liquid required to fill the pulsar loop can come from three sources: (1) the filtered blood exit line, (2) the filtered blood just exiting the fibers, and (3) back flow of plasma through the fiber pores. The amount provided by each source depends on the relative resistances to flow. During normal operation the afore said back pressure valve is closed far enough to maintain a peak transmembrane pressure of 75-130 mm of Hg at the afferent end of the module; consequently, back flow from the filtered blood exit line will be minimal. Ideally, the pulser loop should be filled mostly with filtered blood exiting the fibers, with only a minimum back flow of plasma, to maintain clean pores but not seriously diminish the output of plasma. This desired balance can be achieved in part by adjusting the ratio of effective fiber length to lumen diameter (L/D ratio). Using too high an L/D ratio may lead to an undesirable reduction in the flow of filtered blood from the fibers, thus diminishing plasma production. High L/D ratios are also undesirable because the resistance to blood flow is so great that unacceptably high pressures may be necessary to maintain flow; the high pressure may cause hemolysis (see Figure S which shows the effect of pore size on allowable transmembrane pressure). As indicated above, the reversible pulser pump can be adapted to vary any or all of: the frequency of stroke, the length of the stroke, the velocity of the stroke. In a preferred embodiment the pulser pump is operated so that the volume of liquid passing through the loop on the forward stroke of the pump is greater than the volume of liquid going through the loop on the reverse stroke. The aforesaid discussion presumes that the whole blood inlet and the plasma-depleted blood outlet of the module are used as such during the entire plasmapheresis carried out therein. It is to be understood, however, that this need not be, since the module can be operated in a cyclic fashion such that the functions of the inlet and outlet are periodically reversed. GENERAL DISCUSSION The module for carrying out a plasmapheresis in accordance with any of the aforesaid three modes of operation may be described as an improved microfiltration module for separating whole blood into a cellularenriched fraction and a plasma-enriched fraction, the module comprising in combination a plurality of porous, blood wettable hollow fibers having pores capable of passing plasma but not cellular components, the fibers being further characterized in that the pore size is within the range 0.1 to 1.0 urn, preferably 0.4 to 0.6 pm, and the lumen diameter (D) is no more than 0.050 cm, preferably D is 0.015 to 0.050 cm, the fibers being of substantially equal lengths and terminating in first open ends and second open ends; a liquid tight housing to contain the fibers; liquid tight sealing means cooperating with the housing and the first open ends of the fibers; liquid tight sealing means cooperating with the housing and the second open ends of the fibers, the two sealing means dividing the housing into two end chambers and one central chamber, the end chambers being in liquid transfer relationship with each other through the hollow fibers; blood inlet means for introducing whole blood into one end chamber; blood outlet means for removing a cellular-enriched (plasma-depleted) blood fraction from the other end chamber; and plasma outlet means for removing a plasmaenriched blood fraction from the central chamber, the improvement characterized in that the effective length (L) of each fiber is not greater than 16,400 cm'l D2, that is, the L/D ratio is no greater than 16,400 cm 1 D (L and D being in centimeters). "Effective length" is defined as that portion of the fiber, between the ends, through which plasma passes. Excluded from the effective length, therefore, are those portions of the fibers, at the ends, embedded in the sealing means, for example, a potting resin. It is to be understood regarding the aforesaid ranges of membrane pore size that the porous membrane fibers used herein have pores which are substantially uniform in size and that the substantially uniform size must be within the recited ranges At D = 0.033 cm with the aforesaid L/D ratio, in carrying out the pulsed flow mode of the invention, it has been found that the use of hollow fibers having an L/D ratio of not greater than about 540, and especially those having an L/D ratio of about 100 to about 350, can provide high plasma flux, that is, rate of plasma collection (Qp), with high outlet hematocrit (hct), that is, volume percent of red blood cells in the plasma-depleted blood which is collected. In the steady state mode of the invention, the L/D ratio should not be greater than about 300, preferably about 100 to about 300. In the recycle mode of the invention, the L/D ratio should not be greater than about 460, preferably about 100 to about 350. In general, the lower the L/D ratio within the aforesaid ranges the more satisfactory are the results achieved. The rate of collection of plasma-depleted (exit) blood is referred to hereafter as Qpc High plasma flux is advantageous because it permits carrying out a plasmapheresis with a small extracorporeal blood volume. It is also advantageous because it pe-mlts carrying out such treatment while exposing the blood to a minimum area of fiber membrane and associated apparatus (foreign substances to the blood). The fibers should be wettable by the blood and are preferably hydrophilic. The walls should be thin since permeability generally increases as wall thickness decreases. The hollow fibers can be comprised of materials commonly available for such use, that is, materials which are or can be made biocompatible, permeable and blood wettable. These include, particularly, polymeric materials such as polyesters, polyamides, polycarbonates, polysulfones, methacrylate polymers, acrylonitrile polymers, and polypropylene which has been suitably treated to achieve the requisite wettability. Such hollow fibers can be prepared by known techniques. These include, for example, the techniques disclosed by Castro, U.S. Patent 4,247,498; and Gerlach et al., British Specification 2,026,381A. The module, which comprises fibers, potted in a resin, within a housing, can also be prepared by known techniques. The housing, which can be of any convenient shape, for example, cylindrical, should be made from a blood-compatible material, such as poly(methyl methacrylate). A blood inlet port is located near one end of the housing, for conducting whole blood into the hollow fibers, and an outlet port, for collecting plasma-depleted (cellular-enriched) blood, is located near the other end. A third port, a plasma outlet port, is used for collection of plasma which passes through the walls of the fibers. The module provides high plasma flux and high outlet hematocrit with small extracorporeal blood volume and small fiber membrane surface area. Preferably, the module includes means for conducting the blood through the fibers in reciprocating pulsatile flow (pulsed flow), as described in my earlier applications and hereinabove. Such means include, for example, a blood circulating loop between an inlet and an outlet, there being an oscillator located on the loop. The inlet and outlet for connection to the oscillator can be the same as or different than the inlet and outlet used for feeding blood and collecting plasma-depleted blood, respectively. The use of hollow fibers in this invention provides numerous advantages over the use of flat membranes. Some advantages are: the use of hollow fibers provides a large amount of membrane area in a small volume of space; the hollow fibers do not require membrane plasma drainplates; hollow fibers provide an excellent geometric configuration for achieving a uniform flow across the membrane; hollow fibers can be produced economically, as can the housing for the fibers; and no restraining clamps or heavy casings are required for hollow fiber housings. Conveniently, the module containing hollow fibers can be purged of air, filled with saline and stored ready-for-use using techniques routinely used with hemodialysis modules. Still another advantage of the hollow fiber module of this invention is that it is reusable, at least once, particularly in the pulsed flow mode of operation. For example, the wettable polypropylene fibers used in the examples hereinafter were cleaned readily using dilute aqueous sodium hypochlorite. The pulsed flow mode of the invention is superior to both steady state and recycle flows because it removes more plasma per unit area of membrane in a shorter period of time. In addition, the unit can operate continuously for a longer time than the other modes. Moreover, using the pulsed flow system provides several attractive advantages to both the user and the manufacturer. A small unit with fewer fibers can outperform the presently available steady state flow units. The user also benefits from shorter treatment time, smaller extracorporeal volume of blood needed, reduced exposure of the blood to foreign surfaces and reduced module cost. The steady state mode of the invention can be described as an improved method for plasmapheresis carried out in a system with a plurality of blood wettable porous membrane hollow fibers having open inlet ends and open outlet ends, each fiber having a lumen diameter (D) of no greater than 0.050 cm, preferably 0.015 to 0.050 cm, the pore size of the porous membrane being within the range 0.1 to 1.0 Vm, preferably 0.4 to 0.6 pm, the improved method comprising: (a) conducting blood in a forward direction into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) collecting plasma-depleted blood from the outlets of the hollow fibers; and (c) collecting plasma which has passed through the pores of the membranes, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm 1 D (L and D being in centimeters) and the velocity of the blood in step (a) being such that the shear rate is 50 to 2500 sec'l, preferably 90 to 100 sec 1. The recycle mode of the invention can be described as an improved method for plasmapheresis carried out in a system with a plurality of blood wettable porous membrane hollow fibers having open inlet ends and open outlet ends, each fiber having a lumen diameter (D) of no greater than 0.050 cm, preferably 0.us5 to 0.050 cm, the pore size of the porous membrane being within the range 0.1 to 1.0 pm, preferably 0.4 to 0.6 Vm, the improved method comprising: : (a) conducting blood in a forward direction into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) conducting blood in an external circuit from a region near the outlets of the fibers to a region near the inlets of the fibers or, alternatively, from a region near the inlets of the fibers to a region near the outlets of the fibers; (c) collecting plasma-depleted blood from the outlets of the hollow fibers; and (d) collecting plasma which has passed through the pores of the membranes, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm'l D (L and D being in centimeters) and the velocity of the blood in step (a) being such that the shear rate is 200 to 2500 sec'l preferably 2400 to 2500 sec'l The pulsed flow mode of the invention can be described as an improved method for plasmapheresis carried out in a system with a plurality of blood wettable porous membrane hollow fibers having open inlet ends and open outlet ends, each fiber having a lumen diameter (D) of no greater than 0.050 cm, preferably D.015 to 0.050 cm, the pore size of the porous membrane being within the range 0.1 to 1.0 urn (preferred membranes have pores which are of substantially uniform size within the range 0.4 to 0.6 urn), the improvement characterized in that the plasmapheresis can he carried out continuously, the improved method comprising: (a) conducting blood in a forward direction into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) terminating the forward conducting of blood; (c) conducting blood through the hollow fibers in the reverse direction, (d) collecting plasma-depleted blood from the outlets of the hollow fibers; (e) collecting plasma which has passed through the pores of the membranes; and (f) repeating in sequence steps (a), (b) and (c) to collect additional plasma-depleted blood and plasma, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm'l D (L and D being in centimeters) and the velocity of the blood in steps (a) and (c), except at the beginning and end of each step, being such that the shear rate is 200 to 2500 sec 1, preferably 1000 to 1200 sec 1. In the pulsed flow method, the volume of blood conducted in either of step (a) or step (c) is at least 5% of the total volume of blood in the system. Further regarding this mode of the invention, it is to be understood that the transmembrane pressure difference across the membranes is negative for part of the distance that the blood is conducted across the membranes. In carrying out the pulsed flow mode, the arithmetic product of: (a) the time-average of the transmembrane pressure while it is positive in a portion of the fiber and (b) the time in that portion of the fiber is greater than such product when the transmembrane pressure is negative. llustrate the pr and module of the invention. The module used in each example, unless otherwise noted, comprised blood wettable polypropylene fibers (prepared by known procedures and commercially available) having a 330 pm lumen, a 610 um outer diameter, pores which were 0.5 wm in diameter, and a porosity of 70% (that is, 70% open areas). The fibers were encased in a tube made of Lucites acrylic resin and potted with a polyurethane resin. The effective length of the fibers, that is, the usable length of the fibers, which is the portion outside the potted regions, is shown in each example. Steady State Flow (Examples 1-4) Example 1 The module used in this example had 90 fibers, an effective length of 6.35 cm and an L/D of 192 Two units of anticoagulated whole blood were combined, adjusted to an hematocrit (hct.) of 38% with saline and conducted through the module by a peristaltic pump. Conditions and results are reported in Table 1 wherein Qpc is the rate of exit (plasma-depleted) blood and Op is the rate of exit plasma, both in g/minute. After about 60 minutes the plasma-depleted blood outlet pressure suddenly dropped to zero. The cause was a block in the module inlet caused by an aggregation which is believed to have been the result of the incompatibility of the two units of blood. The results, however, are consistent with results of other experiments reported herein and, therefore, it is believed that the incompatibility did not materially detract from the value of the experiment as a demonstration of the invention. Table 1 Plasma Elapsed Pressure flux time Opc Qp (mm Hg) -(mL/min/ Outlet (min) (gamin) (g/min) Inlet Outlet =2) hct 6 7.38 0.78 50 25 0.013 42 15 7.28 0.63 50 30 0.011 41 26 6.97 0.61 50 30 0.010 41 33 3.50 0.82 115 100 0.014 47 43 3.32 0.42 125 105 0.007 43 50 3.52 0.42 110 85 0.007 43 55 11.88 0.83 100 60 0.014 41 There was no visual evidence of hemolysis. The rate of introduction of whole blood (Qwb) may be obtained in this and in the other examples and in the experiment by combining Qpc and Example 2 The module used in this example had 90 fibers, an effective length of 8.9 cm and an L/D of 270. Two units of anticoagulated whole blood were combined, adjusted to an hct of 37%, and conducted through the module by a peristaltic pump. Conditions and results are reported in Table 2. Table 2 Plasma Elapsed Pressure flux time QDG QP (mm Hg) (mL/min/ Outlet (min) (g/iln) (g/min) Inlet Outlet cm ) hct 7 2.79 0.93 60 45 0.011 49 13 2.63 0.91 65 48 0.011 50 18 10.55 1.32 55 20 0.016 42 27 10.32 1.23 55 15 0.015 41 36 5.92 1.31 105 75 0.016 45 43 6.22 1.12 105 75 0.014 44 51 5.63 1.28 120 95 0.015 45 57 2.68 0.83 165 150 0.010 48 66 2.82 1.01 170 155 0.012 50 77 10.52 1.40 160 120 0.017 42 86 10.57 1.11 165 110 0.013 41 There was no visual evidence of hemolysis. Example 3 The module used in this example had 90 fibers, an effective length of 11.4 cm and an L/D of 346. Two units of anticoagulated whole blood were combined, adjusted to an hct. of 38%, and conducted through the module by a peristaltic pump. Conditions and results are reported in Table 3. Table 3 Plasma Elapsed Pressure flux time Qpc QP (mm Hg) (mL/min/ Outlet (min) /min) (g/min) Inlet Outlet cm2) hct (%) 6 5.30 1.02 235 165 0.010 45 11 7.32 1.13 235 140 0.010 44 16 6.18 0.98 230 140 0.009 44 21 5.48 0.80 75 25 0.008 44 26 6.83 0.68 80 25 0.006 42 32 6.68 0.72 80 25 0.007 42 36 6.82 0.88 90 30 0.008 43 42 9.43 1.34 150 70 0.012 43 49 10.71 1.24 150 85 0.011 42 54 10.70 1.40 155 95 0.013 43 63 3.53 0.55 150 115 0.005 44 67 3.62 0.52 160 120 0.005 43 Hemolysis was visually observed in plasma collected while the inlet pressure was about 230 = Hg. After the pressure was lowered, the plasma cleared and no further hemolysis was observed. Example 4 The module used in this example had 90 fibers, an effective length of 12.7 cm and an L/D of 385. One unit of anticoagulated whole blood, adjusted to an hct. of 38%, was conducted through the module by a peristaltic pump. Conditions and results are reported in Table 4. Table 4 Plasma Elapsed Pressure flux time Qpc Qp (mm Hg) (mL/min/ Outlet (min) (g/min) (g/min) Inlet Outlet cm2) hct (%) 9 9.10 1.35 50 -7 0.011 44 14 8.60 1.45 87 23 0.012 44 28 9.48 0.90 87 21 0.007 42 35 8.91 1.35 110 42 0.011 44 45 9.80 1.28 138 45 0.010 43 50 9.23 1.05 135 60 0.009 42 54 7.05 3.18 270 180 0.027 55 58 6.02 2.82 450 335 0.024 56 Hemolysis was visually observed in the last two plasma samples collected, thought to be due to the high pressure to which the blood was subjected. Scan fling, by measuring light transmission using conventional procedures, at 650 to 500 nm indicated hemoglobin levels of 5.0 mg/dL in the sample taken at 54 min and 37.6 mg/dL in the sample taken at 58 min. Reciprocatory Pulsatile Flow (Examples 5-9) Example 5 The module used in this example had 90 fibers, an effective length of 8.9 cm and an L/D of 270. Two units of anticoagulated whole blood were combined, adjusted to an hct. of 38%, and conducted through the module by a peristaltic pump. To minimize membrane fouling, the blood was conducted by reciprocatory pulsatile flow by means of a peristaltic pump on a line extending from the inlet to the outlet of the module, in accordance with the techniques disclosed in my eailier-filed applications. Conditions and results are reported in Table 5. The pulsed flow D.S. number (Duggins-Shaposka number) is defined as the ratio of the shear rate effects to the effects due to the rate at which whole blood is supplied to the unit. Qwb + Qpulse Pulsea Flow D.S. Number = Qwb Qwb = the flow rate of whole blood Qpulse w the flow rate of pulsed blood At steady state conditions, that is, without pulsing, the D.S. number is 1. Table 5 Pulse Pulse Elapsed volume frequency time Qc Qp (mL) (oscillations) (min) (g/in) (g/min) Forward Reverse per min) 8 6.02 1.71 0.04 0.04 40 13 6.37 1.52 0.04 0.04 40 19 6.74 1.20 0.04 0.04 40 23 2.12 1.84 0.14 0.14 40 27 3.02 1.78 0.14 0.14 40 30 2.86 1.68 0.14 0.14 40 37 3.23 2.01 0.14 0.14 40 44 0.42 0.44 0.30 0.30 40 50 0.78 0.68 0.30 0.30 40 58 5.88 2.66 0.22 0.22 40 63 5.62 2.32 0.22 0.22 40 70 0.68 0.62 0.07 0.07 40 76 0.51 0.51 0.07 0.07 40 83 6.22 1.78 0.11 0.18 40 86 6.48 1.61 0.18 0.11 40 90 6.62 1.40 0.18 0.11 70 Table 5 (cont.) Inlet Outlet Plasma Elapsed Pressure Pressure f1u'. time (mm Hg) (mm Hg) (mL/min/ Outlet (min) D.S.&num; Max. Min. Max. Min. cmê hct (%) 8 1.4 90 65 55 35 0.020 49 13 1.4 80 50 45 20 0.018 47 19 1.4 70 30 30 10 0.014 45 23 3.9 95 -30 70 -45 0.022 71 27 3.4 100 -40 55 -45 0.021 60 30 3.5 100 -40 55 -45 0.020 60 37 3.2 150 10 120 -10 0.024 62 44 29.0 110 < -50 25 -50 0.005 78 50 17.5 105 < -50 20 -50 0.008 71 58 3.0 90 < -50 5 -25 0.032 55 63 3.2 120 < -50 5 -30 0.028 54 70 5.4 80 -25 50 - 5 0.007 73 76 6.6 75 -30 45 - 5 0.006 76 83 2;5 150 0 40 -30 0.021 49 86 2.5 105 -20 75 -15 0.019 47 90 3.5 110 -35 110 -50 0.017 46 There was no visual evidence of hemolysis. These results show that improved plasma flux and outlet hct. can be achieved by use of reciprocatory pulsatile flow. Example 6 The module used in this example had 90 fibers, an effective length of 6.4 cm and an L/D of 192. Whole blood, having an hct. of 41% adjusted to 38% with saline, was conducted through the module by means of a peristaltic pump. To minimize membrane fouling, the blood was conducted by reciprocatory pulsatile flow, with the inlet and outlet of the module being connected by a loop, in accordance with techniques disclosed in my earlier-filed applications. Conditions and results are reported in Table 6. Table 6 Pulse Pulse Elapsed volume frequency time Qpç Q (mL) (oscillations (min) (g/min) (g/min) Forward Reverse per min) 7 3.88 0.82 0.04 0.04 40 12 3.62 0.78 0.04 0.04 40 16 3.69 0.76 0.04 0.04 40 23 0.95 1.13 0.18 0.18 40 27 1.09 1.18 0.18 0.18 40 32 1.18 1.08 0.18 0.18 40 38 0.74 0.82 0.18 0.18 40 43 0.68 0.62 0.18 0.18 40 47 0.62 0.51 0.18 0.18 40 55 7;13 1.32 0.11 0.11 40 60 6.64 1.45 0.11 0.11 40 65 6.79 1.51 0.11 0.11 40 73 3.16 1.93 0.26 0.26 40 81 3.20 2.08 0.26 0.26 40 85 2.82 1.93 0.26 0.26 40 Table 6 (cont.) Inlet Outlet Elapsed Pressure Pressure Plasma time (mm Hg) (mm Hg) flux Outlet (min) D.S. + Max. Min. Max. Min. (mL/min/cm2) hct (%) 7 1.7 90 65 70 50 0.014 46 12 1.7 85 60 65 45 0.013 46 16 1.7 85 60 65 45 0.013 46 23 7.9 75 -35 65 -50 0.019 83 27 7.4 120 -20 110 -40 0.020 79 32 7.4 150 0 125 -25 0.018 73 38 10.2 110 -40 95 < -50 0.014 80 43 12.1 105 -45 90 < -50 0.010 73 47 13.8 115 -45 90 < -50 0.008 69 55 2.0 75 5 30 0 0.022 45 60 2.0 70 10 40 5 0.024 46 65 2.0 75 10 40 5 0.025 46 73 5.1 90 -50 60 < -50 0.033 61 81 5.0 95 -50 65 < -50 0.035 63 85 5.4 90 -50 65 < -50 0.033 64 Example 7 The module used in this example had 90 fibers, an effective length of 3.5 inches (8.9 cm), an active membrane surface area of 83 cm2, and an L/D of 269. All tubing in the system was 1/8" (3.2 mm) I.D. and a micrometer valve was used in the blood outlet line to regulate pressure. One unit (net 524 g) of 0 positive whole blood having an hematocrit of 34% was used. Plasmapheresis was carried out for 71 minutes, at which time the blood supply was exhausted. During the first 17 minutes the module was operated in the steady state mode; the remainder of the run was carried out using-the pulsed flow mode. The pulsed flow data are shown in Table 7. Table 7 Pulse Pulse Elapsed volume frequency time Qnç Q (mL) (oscillations (min) (g (g/min) (g/iin) Forward Reverse per min) 21 3.71 1.00 0.3 0.3 10 24 3.85 1.10 0.3 0.3 10 28 3.68 1.33 0.3 0.3 20 32 3.62 1.30 0.3 0.3 20 36 4.10 1.24 0.3 0.3 30 40 4.42 1.00 0.3 0.3 30 45 3.22 2.29 0.62 0.62 30 48 3.86 1.98 0.62 0.62 30 53 3.08 1.49 0.62 0.62 40 60 2.89 1.75 ' 0.46 0.46 40 64 2.90 1.71 0.46 0.46 40 69 3.57 1.74 0.3 0.3 40 Table 7 (cont.) Inlet Outlet Elapsed Pressure Pressure Plasma time (mm Hg) (mm Hg) flux # Outlet (min) Max. Min. Max. Min. (mL/min/cmXj # hct (%) 21 125 100 110 75 0.012 43 24 150 60 125 75 0.013 44 28 150 50 125 60 0.016 46 32 150 60 135 75 0.016 46 36 150 50 120 40 0.015 44 40 115 20 80 15 0.012 42 45 135 -15 105 -45 0.028 58 48 125 -25 95 -50 0.024 51 53 105 -100 60 -8C 0.018 50 60 80 -65 50 -65 0.021 55 64 100 -70 45 -65 0.021 54 69 90 -25 75 -50 0.021 51 Example 8 The module used in this example had 708 fibers, an effective length of 5.625 inches (14.3 cm), an active membrane surface area of 1,050 cm2, and an L/D of 433. The whole blood inlet and plasma outlet lines were 1/8 inch (3.2 mm) I.D. and the plasmadepleted blood and pulser loop lines were 3/16 inch (4.8 mm) I.D. The pressure was adjusted on the blood outlet line with a hose clamp. Two units (net 537 g and 566 g) of 0 positive whole blood having a hematocrit of 39.5%, diluted to 38.5% with sterile saline, were used. Plasmapheresis was carried out rapidly for 46 minutes at about a 40 ml/min whole blood throughput rate. The supply of blood was depleted in about 15 minutes, after which the plasma-depleted and plasma fractions were combined and rerun through the module. Recombination of fractions was effected twice during the run. The pulse frequency was 40 cycles/min. The data for this run are shown in Table 8; data were collected at 8 intervals (1 min each) uniformly spaced throughout the 46 minute run. Table 8 Pulse volume Plasma Qpc Qp (mL) flux Outlet (g/min) (g/min) Forward Reverse (mL/min/Cm2) hct (%) 23.77 14.61 1.37 1.27 0.014 62 25.35 11.91 1.37 1.63 0.011 57 25.80 12.03 1.37 1.63 0.011 55 21.75 15.99 1.37 1.27 0.015 67 27.83 16.43 1.37 1.31 0.016 61 27.22 14.91 1.37 1.31 0.013 60 23.41 14.64 1.37 1.31 0.014 63 26.48 11.65 1.31 1.27 0.011 55 Example 9 The module used in this example was similar to that nosed in Example 8, except that the plasmadepleted blood outlet and the plasma outlet were connected back to the whole blood supply so that the system could be run continuously for almost 4 hours. Two units (net 540.6 g each) of 0 positive whole blood having an hematocrit of 40.58 were used and the module and tubing were filled with sterile saline. Plasmapheresis was carried out for 30 minutes to effect dilution of the whole blood and the saline to an hematocrit of 36%. The pulse frequency was 40 cycles/ min. as in Example 8. Data were collected every 30 minutes during the run and are shown in Table 9. Table 9 Pulse volume Plasma Opc Qp (mL) flux Outlet (g/min) (g/min) Forward Reverse (mL/min/cm2) hct (%) 19.87 17.30 1.37 1.27 0.016 67 21.35 15.93 - 1.37 1.27 0.015 65 20.58 17.06 1.37 1.27 0.016 66 20.79 16.71 1.37 1.27 0.016 65 20.15 17.20 1.37 1.27 0.016 67 21.36 16.04 1.37 1.27 0.015 63 20.88 16.97 1.37 1.27 0.016 65 During the entire run of 230 min, 3850.2 mL of plasma was produced at a rate of 16.7 mL/min. Recycle Flow (Examples 10 and 11) Example 10 This example was carried out to demonstrate the recycle flow mode of the invention. The module had 90 fibers, an effective length of 3.5 inches (8.9 cm) and an L/D of 269. The whole blood used had an hematocrit of 38%. Conditions and results are reported in Table 10. In the table, RF indicates that the recycle flow was reversed. Although such reversal thus is outside the embodiment of Figure 2, the results achieved prior and subsequent to the reversal were not adversely affected and, moreover, the results achieved during the reversal were comparable to those achieved with the embodiment of Figure 2. Therefore, it has been concluded that the liquid in the recycle loop can flow in either direction in this mode of the invention Table 10 Elapsed Recycle Pressure Plasma time Qpc Qp flow rate (mm Hg) flux Qutlet (min) (g/min) (g/min) (mL/min) Inlet Outlet (mL/min/cmê) hct (%) D.S.&num; 13 7.01 1.16 22.5 100 -15 0.014 44 3.8 17 6.68 1.27 22.5(RF) 50 100 0.015 45 3.8 23 7.57 0.74 0 70 30 0.009 42 1.0 28 0 0 29.5 150 -10 - - 48 1.00 0.20 29.5(RF) -30 75 0.0024 46 30.7 68 0.74 0.35 7.5 80 10 0.004 56 7.9 78 0.72 0.38 7.5(RF) 40 80 0.0045 58 7.8 86 4.09 0.60 15 75 -15 0.007 44 4.2 93 3.96 0.70 15 (RF) 50 75 0.008 45 4.2 100 3.91 0.62 15 85 0 0.007 44 4.3 Example 11 Example 10 was repeated except that the fiber effective length was 6 inches (15.2 cm) and the L/D was 462. Conditions and results are reported in Table 11. After 42 minutes the inlet pressure exceeded 350 mm Hg, resulting in severe hemolysis and the Qpc dropped to 0. When the pressure was lowered, plasmapheresis continued satisfactorily. Table 11 Elapsed Recycle Pressure Plasma time Qpc Qp flow rate (mm Hg) flux Qutlet (min) (g/min) (g/min) (mL/min) Inlet Outlet (mL/min/cmê) hct (%) D.S.&num; 5 2.89 1.75 26 295 -20 0.012 61 6.6 11 6.68 1.29 26 260 -20 0.009 53 6.6 16 3.71 0.94 26 (RF) -35 100 0.007 48 6.6 29 4.41 0.46 4 80 65 0.003 42 1.8 42 0.00 0.96 19.5 350 -20 0.003 - 21.3 52 7.69 0.98 12 85 -20 0.007 43 2.4 57 7.49 1.02 12 80 -20 0.007 43 2.4 62 7.69 0.53 12 (RF) 70 100 0.004 41 2.5 Steady State Flow Experiment (A Comparative Example) The module used in this experiment is presently commercially available. It had 2520 fibers of the same kind used in Examples 1 to 11, an effective length of 24 cm and an L/D of 728. Two units of anticoagulated whole blood were combined, adjusted to an hct. of 37%, and conducted through the module by a peristaltic pump. Exit (plasma-depleted) blood and plasma which were collected during the procedure were admixed and returned through the module four times so that the length of the experiment could be extended to ensure steady state conditions. Because the results throughout the run were consistent, it was concluded, as in Examples 8 and 9, that the use of recombined blood did not materially affect the results of this experiment. Conditions and results are reported in Table 12. Table 12 Plasma Elapsed Pressure flux time Oc Q (mm g) (mL/min/ Outlet (min) (g/in) (g/in) Inlet Outlet cm2) hct (%) 3 3 72.7 28.10 135 120 0.006 51 6 80.5 28.90 125 110 0.006 50 9 84.2 28.90 135 120 0.006 50 12 84.7 27.90 150 130 0.006 49 14 79.0 32.60 130 110 0.007 52 17 84.7 26.60 170 140 0.005 49 19 . 78.3 28.40 145 . 115 0.006 50 22 80.8 27.40 155 125 0.006 49 24 60.2 22.10 175 160 0.004 50 29 59.2 21.30 175 160 0.004 50 There was no visual evidence of hemolysis. Comparison of these results with the results of Examples 1, 2 and 3 reveals that improved plasma flux with substantially equivalent outlet hct were achieved using the modules of the invention, which modules had approximately one-fourth to one-half of the volume of the module used in this experiment for comparison. In order to better compare these results with results attained using the modules of the invention, the results of Examples 1, 2 and 3 were normalized to the conditions of this experiment by use of a regression equation derived from the above test data. These calculated results are tabulated in Table 13 to show the predicted outlet hct and plasma flux using the modules of the invention at the conditions existing at the time intervals reported in this experiment. Data from Table 12 are repeated to show the actual (measured) results from the experiment. Table 13 Outlet Hct (*) and Plasma Flux (mL/min/cm2): Predicted for Module Lengths of Examples 1, 2 and 3 and Actual for Module of the Experiment Elapsed Predicted Measured Predicted time Ex. 1 Ex. 2 Ex. R Exp. (min) (L/D=192) (L/D=270) (L/D=346) (L/D=728) Exp. 3 , 45 47 49 Sl 52 0.010 0.008 0.007 0.005 0.005 6 45 47 48 50 52 0.010 0.009 0.008 0.005 0.005 9 45 46 48 50 51 0.010 0.009 0.008 0.005 0.005 12 44 46 48 49 51 0.010 0.009 0.008 0.005 0.005 14 45 47 48 52 51 0.010 0.009 0.008 0.006 0.005 17 44 46 47 49 50 0.010 0.008 0.007 0.005 0.005 19 45 47 48 50 51 0.010 0.008 0.007 0.005 0.005 22 44 46 48 50 51 0.010 0.008 0.007 0.005 0.005 24 45 47 49 51 52 0.008 0.007 0.006 0.004 0.004 29 45 47 49 50 # 52 0.008 0.007 0.006 0.004 0.004 Avg. 45 47 48 50 51 0.010 0.008 0.007 0.C05 0.005 Stud. 0.48 0.52 0.63 0.92 0.67 Dev'n. 0.0008 0.0008 0.0002 0.0006 0.0004 It is to be understood that although the regression equation was calculated based on the actual results of Examples 1, 2 and 3, there may be some error in the predicted results. It is believed, however, that any error is small (see standard deviation). Using the results of Examples 1 to 4 and other experiments not reported herein in regression equations, it has been predicted that hollow fiber modules having fibers with lumen diameters smaller or larger than 330 wm are useful and are within the invention provided the equivalent L/D at 330 ijm is less than about 530, preferably being about 100 to about 350, in accordance with the aforesaid formula for L/D. Using regression analysis to evaluate other plasmapheresis data obtained by means of the instant invention (not included in this specification), Table 14 was assembled to show the expected performance of the hollow fiber module of the invention under steady flow conditions (D.S. number of 1) and under conditions of reciprocatory pulsatile flow (D.S. numbers of 3 to 9). Pulsed flow D.S. number (Duggins-Shaposka number) has been defined in Example 5. Table 14 thus shows the predicted outlet hct and plasma flux at various length to diameter (L/D) ratios at various effective fiber lengths at various D.S. numbers. All units from which the data were collected were comprised of blood wettable polypropylene fibers of 330 vm lumen diameter, 610 pm outer diameter and pores of 0.5 Vm diameter. The through-put was 0.036 mt/minute/fiber at an inlet pressure of 75 mm of Hg. The inlet hct of the blood was 38%. It may be seen from Table 14 that when the L/D ratio exceeded about 540, the outlet hematocrit and plasma flux values decreased to less acceptable levels. Table 14 Outlet Hot (%) and Plasma Flux (mL/min/cmê) Length in D.S. Numbers L/D Inches (cm) 1 3 4 5 6 7 8 9 192 2.5 46.04 75.85 62.74 66.11 67.95 68.27 67.07 64.33 (6.4) 0.010 0.019 0.022 0.023 0.024 0.024 0.024 0.022 231 3.0 47.22 60.44 65.00 68.03 69.54 69.53 67.99 64.93 (7.6) 0.009 0.017 0.019 0.020 0.021 0.021 0.020 0.019 269 3.5 48.30 62.54 66.77 69.48 70.66 70.31 68.44 65.04 (8.9) 0.008 0.015 0.017 0.018 0.018 0.018 0.017 0.016 308 4.0 49.30 64.17 68.07 70.44 71.29 70.61 68.40 64.68 (10.2) 0.008 0.014 0.015 0.016 0.016 0.016 0.015 0.014 346 4.5 50.22 65.32 68.89 70.93 71.44 70.43 67.89 63.83 (11.4) 0.007 0.013 0.014 0.014 0.014 0.014 0.013 0.012 385 5.0 51.05 65.99 69.22 70.93 71.11 69.77 66.90 62.51 (12.7) 0.007 0.012 0.012 0.013 0.013 0.012 0.012 0.011 423 5.5 51.79 66.18 69.08 60.46 70.31 68.63 65.43 60.71 (14.0) 0.007 0.011 0.011 0.011 0.011 0.011 0.010 0.009 462 6.0 52.44 65.90 68.46 69.51 69.02 67.02 63.48 58.43 (15.2) 0.006 0.010 0.010 0.010 0.010 0.010 0.009 0.009 500 6.5 53.01 65.13 67.37 68.08 67.26 64.92 61.06 55.67 (16.5) 0.006 0.009 0.009 0.009 0.009 0.009 0.008 0.007 Table 14 (cont.) Outlet Hot (%) and Plasma Flux (mL/min/cmê) Length in D.S. Numbers L/D Inches (cm) 1 3 4 5 6 7 8 9 539 7.0 53.50 63.88 65.79 66.17 65.02 62.36 58.15 62.43 (17.8) 0.006 0.008 0.008 0.008 0.008 0.008 0.007 0.005 577 7.5 53.89 62.16 63.73 63.78 62.30 59.29 54.76 48.71 (19.1) 0.005 0.007 0.007 0.007 0.007 0.007 0.006 0.004 615 8.0 54.20 59.96 61.20 60.91 59.10 55.76 50.90 44.51 (20.3) 0.005 0.006 0.006 0.006 0.006 0.005 0.004 0.002 It may be seen from the data in Table 14 that, at a given L/D ratio, there is an optimum degree of pulsatility (D.S. number) for achieving a maximum in hematocrit and/or a maximum in flux. One skilled in the art will understand that, in carrying out the plasmapheresis process of this invention, the operator usually selects a compromise between the highest attainable hematocrit and the highest attainable flux. For example, although the process of the invention can be carried out in such a way that a 90% hematocrit can be obtained in the plasma-depleted blood, the goal hematocrit usually is no greater than 70%; preferably, it is about 65%. As the goal hematocrit is lowered, the achievable flux is increased. Thus, although higher fluxes are achievable by means of the process of this invention, a flux of about 0.04 mL/minute/cm2 represents a desirable compromise since, at this value an hematocrit of 65% is readily achievable. Such an achievable combination of flux and hematocrit represents a marked advance over art plasmapheresis processes and apparatus, particularly continuous plamapheresis and apparatus. In addition to the aforesaid correlation between pulsatility, L/D ratio, hematocrit and flux, one skilled in the art will also recognize that these parameters are dependent on the flow rate of the whole blood flowing through the system. Finally, it is to be understood that all of the examples and the single experiment described herein, except for Examples 7 to 9, were carried out with whole blood adjusted to an hct of 37-385, and that different results (hct and flux) would be obtained at different hematocrit starting levels. In general, when a plasmapheresis is carried out in the art, male blood which has a normal hematocrit of about 44-45% is diluted with anticoagulant to an hematocrit of about 38%; female blood which has a normal hematocrit of about 38% is diluted with anticoagulant to about 30%. The following discussion is intended to supplement the aforesaid disclosure in that it outlines steps which one skilled in the art may follow in carrying out a plasmapheresis by means of the invention. In addition to definitions already provided, the following may be useful: 1) Recycle D.S number = Qwb + recycle Owb Qwb = the flow rate of whole blood Qrecycle = the flow rate of recycle 2) N = the number of fibers in the module 3) The active surface area of the fibers (A) = rrDNL wherein D and L are in cm 4) Shear rate (sec'l) 4(flow velocity in cm/sec) lumen radius in cm Steady State Flow 1. Select a whole blood inlet feed rate Qwb based on treatment needs. 2. Select the whole blood inlet hematocrit based on availability. 3. Select the hematocrit for the outlet cellular-enriched fraction (maximum of 60% without hemolysis). 4. Calculate the outlet plasma flow Qp from steps 1-3. 5. Select diameter initially at 0.033 cm. 6. From the data given in Tables 14 and 15, select the desired plasma flux and outlet hematodrit, Note length in table and calculate whole blood flow/ fiber from data in table, that is, 70 mL/nin feed and 2,000 cm2 surface area. 7. Calculate the whole blood shear rate to compare with data of Table 16. 8. Calculate the number of fibers needed from steps 1 and 6. 9. Calculate the membrane surface area. 10. If desired, select a different lumen diameter. 11. Calculate a new rate of whole blood flow per fiber to get the desired shear rate. 12. Calculate the number of fibers needed. 13. Calculate the fiber length needed to give the same area as before. 14. Calculate L/D to compare with data from above and in Table 16. Recycle Steady State Flow 1. Follow the steps outlined above for steady state flow. Maximum hematocrit is 57-61 without hemolysis in accordance with Table 15 and the examples. 2. Select a cellular-enriched blood recycle rate that gives the selected peak shear rate (see Table 16). 3. Select lumen diameter initially at 0.033 cm. 4. Determine plasma flux and fiber length from Table 15, or alternatively from Tables 10 or 11. 5. Calculate number of fibers and surface area. 6. Use same procedure design for other diameters, keeping shear rate and area the same as before. Recinrocatory Pulsatile Flow 1. Select a whole blood inlet feed rate Qwb based on treatment needs. 2. Select the outlet plasma flow Qca 3. Select the whole blood inlet hematocrit based on availability. 4. Select the hematocrit for the outlet cellular-enriched fraction based on treatment needs and goals. 5. Use an arbitrarily low L/D initially, for example, 100-200. 6. Assume a lumen diameter of 0.033 cm initially. 7. From the data given in Table 17 select the highest whole blood flow per fiber to give the desired hematocrit for the outlet cellular-enriched fraction at selected L/D. 8. Calculate the whole blood shear rate and adjust the whole blood flow per fiber Qwb to give the desired shear rate. 9. Calculate the number of fibers needed from Qwb and treatment requirements. 10. Calculate fiber length from L = L/D x D. 11. Calculate the membrane surface area from number, diameter and length of fibers. 12. If desired, select a different lumen diameter. 13. Calculate a new rate of whole blood flow per fiber to get the selected shear rate. 14. Calculate as before the number of fibers needed. 15. Calculate the fiber length needed to give the same area. 16. Calculate L/D and compare with the data from Table 16. 17. Select the pulse- frequency. 18. Calculate the required pulsed blood flow rate and select the pulsed blood volume and time during a 1/2 pulse. 19. Calculate the total blood flow rate per pulse for the desired peak shear rate and resulting D.S. number. As suggested above, Table 16 includes data which may be used in connection with the aforesaid outlined steps for carrying out the three modes of operation of the invention. Table 15 Comparison of the Expected Performance of Hollow Fibers with Constant Surface Area of 2000 cm2 When Operated in Steady Flow (D.S. Number=l) and Recycle Flow (D.S. Number > 1) Modes, All Units Operating at a Thru-Put of 70 mL/min (Total) and an Inlet Pressure of 70 mm of Hg Length DS = 2 DS = 4 DS = 6 DS = 8 Inches (cm) Steady Recycle Recycle Recycle Recycle L/D 2.5 H= 47.5 - 47.7 49.1 50.9 192 (6.4) F= 0.007 - 0.007 -0.007 0.008 3.0 H= 48.2 - 47.4 49.4 51.9 231 (7.6) F= 0.007 - 0.006 0.008 0.009 3.5 H= 48.8 - 47.1 49.9 53.3 269 (8.9) F 0.008 - 0.006 0.008 0.01 N= 2170 4.0 H= 49.2 - 47 50.5 55 308 (10.2)F= 0.008 - 0.006 0.008 0.01 4.5 H= 49.5 - 46.9 51.4 57 346 (ll.4)F= 0.008 - 0.006 0.009 0.011 5.0 H= 49.6 43 47 52.4 - 385 (12.7)F= 0.008 0.004 0.006 0.009- N= 1519 5.5 H= 49.6 42.3 47.1 53.7 - 432 (14.0)F= 0.008 0.003 0.006 0.01 6.0 H= 49.4 41.6 47.3 55.1 - 462 (15.2)F= 0.008 0.003 0.006 0.01 6.5 H= 49.1 - - - - 500 (16.5)F= 0.008 - - - 7.0 H= 48.7 - - - - 539 (17.8)F= 0.008 - - - 7.5 H= 53.9 - - - - (19.1)F= 0.006 - - - 8.0 H= 54.2 - - - - (20.3)F= 0.006 - - - - Table 16 Pulsed Flow Minimum Best Mode Maximum Hct in (%) > 0 38 90 Hct out (%) > 0 65 90 Lumen diameter D (cm) 0.015 0.033 0.050 Inlet feed pressure 10 75-130 250 (mm Hg)at 0.5 m pore diameter Plasma flux (mL/min/cm2) > 0 0.042 Whole blood shear rate 100 198 1200 (sec-1) Pulsed blood peak shear 100 948 2500 rate (sec-1) Peak shear rate (sec¯l) 200 1146 2500 Pulse frequency (cycles/ 20 40 80 min) Pulse volume/1/2 pulse - 1.2-1.4 cycle (mL) Duration of pulse/1/2 - 0.75 pulse cycle (sec) at 40 cycles/min Pulse pressure (mm Hg) - -20 - Length of fibers (cm) at > 0 6.6 11.4 0.5 urn pore diameter L/D at D = 0.033 cm - 200 540 Membrane surface area - 1174 (cm2) Inlet flow rate Qwb 10 72 400 (mL/min) Whole blood flow rate/ - 0.042 fiber (mL/min) Peak flow rate/fiber - 0.244 (mL/min) Table 16 (cont.) Minimum Best Mode Maximum No. of fibers - 1713 Plasma flow rate Qp - 30 (mL/min) Blood outlet pressure - -20 (mm Hg) Steady State Flow Hct in (%) > 0 38 Hct out (%) > 0 49 60 Lumen diameter D (cm) 0.015 0.033 0.050 Whole blood shear rate - 94 2500 (sec-l) Length of fibers (cm) - 6.3 8.9 Inlet feed pressure - 75 250 (mm Hg) at 0.5 mm pore diameter L/D at D = 0.033 cm - 192 300 No. of fibers - 3469 Membrane surface area - 2285 (cm2) Inlet blood flow rate Qwb - 72 - (mL/min) Flow rate/fiber (mL/min) - 0.021 Plasma flow rate Qp 16 (mL/min) Plasma flux (mL/min/cm2) - 0.007 Minimum blood outlet - 50 < 250 pressure (mm Hg) at 0.5 llm pore diameter Recycle Steady State Flow Hct in (%) - 38 Hct out (%) - 55 57-61 Table 15 (cont.) Minimum Best Mode Maximum Lumen diameter D (cm) 0.015 0.033 0.050 Inlet feed pressure - 70 250 (mm Hg) Total blood flow shear - 2450 2500 rate (sec'1) Inlet blood flow rate - 65 Qwb (mL/min) Recycle blood flow rate - 388 (mL/min) Plasma flow rate Qp - 20 (mL/min) No. of fibers . - 1688 Plasma flux (mL/min/cm2) - 0.01 Membrane surface area - 2000 (cm2) Length of fibers (cm) 11.4 L/D at D = 0.033 cm - 345 460 Flow rate/fiber minimum - 0.268 Table 17 Pulsed Flow Hematocrit vs L/D vs Flow/Fiber Flow Per Fib LD/ Ratio (mL/min) 150 200 250 300 350 400 450 500 550 600 650 700 0.010 81.1 83.1 84.2 84.6 84.3 83.3 81.6 79.2 76.1 72.4 67.9 62.8 0.012 80.1 81.9 83.0 83.4 83.2 82.2 80.5 78.2 75.2 71.4 67.0 62.0 0.014 78.8 80.7 81.8 82.3 82.0 81.1 79.5 77.2 74.2 70.5 66.2 61.1 0.016 77.6 79.4 80.6 81.1 80.9 80.1 78.5 76.2 73.3 69.7 65.4 60.4 0.018 76.3 79.2 79.5 80.0 79.9 79.0 77.5 75.3 72.4 68.8 64.5 59.6 0.020 75.1 77.1 78.3 78.9 78.8 78.0 76.5 74.4 71.5 68.0 63.8 58.9 0.022 73.9 75.9 77.2 77.9 77.8 77.1 75.6 73.5 70.7 67.2 63.0 58.1 0.024 72.8 74.8 76.2 76.8 76.8 76.1 74.7 72.6 69.9 66.4 62.3 57.5 0.026 71.6 73.7 75.1 75.8 75.9 75.2 73.8 71.8 69.1 65.7 61.6 56.8 0.028 70.5 72.6 74.1 74.8 74.9 74.3 73.0 71.0 68.3 65.0 60.9 56.2 0.030 69.4 71.6 73.1 73.9 74.0 73.4 72.2 70.2 67.6 64.3 60.3 55.6 0.032 68.4 70.6 72.1 73.0 73.1 72.6 71.4 69.5 66.9 63.6 59.7 55.0 0.034 67.3 69.6 71.2 72.1 72.3 71.8 70.6 68.8 66.2 63.0 59.1 54.5 0.036 66.3 68.6 70.3 71.2 71.5 71.0 69.9 68.1 65.6 62.4 58.5 54.0 0.038 65.4 67.7 69.4 70.4 70.7 70.3 69.2 67.4 65.0 61.8 58.0 53.5 0.040 64.4 66.8 68.5 69.5 69.9 69.5 68.5 66.8 64.4 61.3 57.5 53.0 0.042 63.5 65.9 67.7 68.8 69.1 68.8 67.8 66.2 63.8 60.7 56.0 52.6 Table 17 (cont.) Flow Per Fib L/D Ratio (mL/min) 150 200 250 300 350 400 450 500 550 600 650 700 0.044 62.6 65.1 66.9 68.0 68.4 68.2 67.2 65.6 53.2 60.2 56.5 52.2 0.046 61.7 64.3 66.1 67.3 67.7 67.5 66.6 65.0 62.7 59.8 56.1 51.8 0.048 60.9 63.5 65.4 66.6 67.1 66.9 66.0 64.5 62.2 59.3 55.7 51.4 0.050 60.1 62.7 64.6 65.9 66.4 66.3 65.5 64.0 61.8 58.9 55.3 51.1 0.052 59.3 62.0 63.9 65.2 65.8 65.7 65.0 63.5 61.4 58.5 55.0 50.8 0.054 58.5 61.3 63.3 64.6 65.2 65.2 64.5 63.1 60.9 58.2 54.7 50.5 0.056 57.8 60.6 62.6 64.0 64.7 64.7 64.0 62.6 60.6 57.8 54.4 50.3 0.058 57.1 59.9 62.0 63.4 64.2 64.2 63.6 62.2 60.2 57.5 54.1 50.0 0.060 56.4 59.3 61.4 62.9 63.7 63.8 63.2 61.9 59.9 57.2 53.9 49.9 0.062 55.8 58.7 60.9 62.4 63.2 63.3 62.8 61.5 59.6 57.0 53.7 49.7 0.064 55.2 58.1 60.3 61.9 62.7 62.9 62.4 61.2 59.3 56.8 53.5 49.5 0.066 54.6 57.5 59.8 61.4 62.3 62.5 62.1 60.9 59.1 56.6 53.3 49.4 0.068 54.0 57.0 59.3 61.0 61.9 62.2 61.8 60.7 58.9 56.4 63.2 49.4 0.070 53.5 56.5 58.9 60.6 61.6 61.9 61.5 60.4 58.7 56.2 53.1 49.3 0.072 53.0 56.1 58.5 60.2 61.2 61.6 61.3 60.2 58.5 56.1 63.0 49.3 0.074 52.5 55.6 58.1 59.8 60.9 61.3 61.0 60.1 58.4 56.0 53.0 49.3 0.076 52.0 55.2 57.7 59.5 60.6 61.1 60.8 59.9 58.3 56.0 53.0 49.3 0.078 51.6 54.8 57.4 59.2 60.4 60.9 60.7 59.8 58.2 55.9 53.0 49.3 0.080 51.2 54.5 57.0 58.9 60.2 60.7 60.5 59.7 58.1 55.9 53.0 49.4 0.082 50.8 54.1 56.8 58.7 60.0 60.5 60.4 59.6 58.1 55.9 53.1 49.5 Table 17 (cont.) Flow Per Fib L/D Ratio (mL/min) 150 200 250 300 350 400 450 500 550 600 650 700 0.084 50.4 53.8 56.5 58.5 59.8 60.4 60.3 59.6 58.1 56.0 53.2 49.7 0.086 50.1 53.5 56.3 58.3 59.6 60.3 60.3 59.6 58.2 56.1 53.3 49.8 0.088 49.8 53.3 56.0 58.1 59.5 60.2 60.2 59.6 58.2 56.2 53.4 50.0 0.090 49.6 53.1 55.9 58.0 59.4 60.2 60.2 59.6 58.3 56.3 53.6 50.2 0.092 49.3 52.9 55.7 57.9 59.4 60.1 60.3 59.7 58.4 56.4 53.8 50.5 0.094 49.1 52.7 55.6 57.8 59.3 60.2 60.3 59.8 58.5 56.6 54.0 51.7 0.096 48.9 52.5 55.5 57.7 59.3 60.2 60.4 59.9 58.7 56.8 54.3 51.0 0.098 48.8 52.4 55.4 57.7 59.3 60.2 60.5 60.0 58.9 57.1 54.6 51.4 0.100 48.6 52.3 55.4 57.7 59.4 60.3 60.6 60.2 59.1 57.3 54.9 51.7 Best Mode The best mode presently contemplated for carrying out each of the three modes of the invention is summarized in Table 16. Preferred embodiments of the invention are illustrated by the above descriptions and examples. However, the invention is not limited to the precise constructions herein disclosed but, rather, includes all modifications and changes coming within the scope of the following claims.

Claims: CLAIMS 1. Improved microfiltration module for separating whole blood into a cellular-enriched fraction and a plasma-enriched fraction, the module comprising in combination a plurality of blood wettable porous membrane hollow fibers having pores of substantially uniform size and capable of passing plasma but not cellular components, the fibers being further characterized in that the pore size is within the range 0.1 to 1.0 vm and the lumen diameter (D) is no greater than 0.050 cm, the fibers being of substantially equal lengths and terminating in first open ends and second open ends; a liquid tight housing to contain the fibers; liquid tight sealing means cooperating with the housing and the first open ends of the fibers; liquid tight sealing means cooperating with the housing and the second open ends of the fibers, the two sealing means dividing the housing into two end chambers and one central chamber, the end chambers being in liquid transfer relationship with each other through the hollow fibers; blood inlet means for introducing whole blood into one end chamber; blood outlet means for removing a cellularenriched blood fraction from the other end chamber; and plasma outlet means for removing a plasma-enriched blood fraction from the central chamber, the improvement characterized in that the effective length (L) to lumen diameter (D) ratio (L/D) is not greater than 16,400 cln¯l D (L and D being in centimeters). 2. Module of Claim 1 wherein the L/D ratio is not greater than about 540. 3. Module of Claim 1 wherein the L/D ratio is about 100 to about 350. 1, 2, or 4. Module of Claim/3 wherein the pore size is within the range 0.4 to 0.6 pm and the lumen diameter is 0.015 to 0.050 cm. any one of to 4 5. Module of /Claims 1/wherein the fibers are blood wettable polypropylene fibers. any one of to 5 6. Module of/Claims 1/wherein the fibers are purged of air and filled with saline. any one of to 6 7. Module of /Claims 1/further comprising means for conducting blood through the fibers in reciprocatory pulsatile flow. 8. Module of Claim 7 wherein the means for conducting blood through the fibers in reciprocatory pulsatile flow comprises a blood circulating loop between an inlet and an outlet, tnere being an oscillator located on the loop. 9. Improved method for plasmapheresis carried out in a system with a plurality of blood wettable porous membrane hollow fibers having a substantially uniform membrane pore size and having open inlet ends and open outlet ends, each fiber having a lumen diameter (D) of no greater than 0.050 cm, the pore size of the porous membrane being within the range 0.1 to 1.0 vm, the improved method comprising: (a) conducting blood in a forward direction into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) collecting plasma-depleted blood from the outlets of the hollow fibers; and (c) collecting plasma which has passed through the pores of the membranes, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm 1 D (L and D being in centimeters) and the velocity of the blood In step (a) being such that the shear rate is 50 to 2500 sec'l 10. Method of Claim 9 wherein the lumen diameter (D) is 0.015 to 0.050 cm and the pore size of the porous membrane is within the range 0.4 to 0.6 um. 9 or 11. Method of Claim/10 wherein the shear rate is 90 to 100 sec1. 9, or 11 12. Method of Claim/l0,Mherein the L/D ratio is not greater than about 300. 13. Method of Claim 12 wherein the L/D ratio is about 100 to about 300. any one of to 13 14. Method of/Claiit9/wherein the fibers are blood wettable polypropylene fibers. 15. Method of Claim 9 comprising: (a) conducting blood in a forward direction into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) conducting blood in an external circuit from a region near the inlets or outlets of the fibers to a region near, respectively, the outlets or inlets of the fibers; (c) collecting plasma-depleted blood from the outlets of the hollow fibers; and (d) collecting plasma which has passed through the pores of the membranes, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm 1 D (L and D being in centimeters) and the velocity of the blood in step (a) being such-that the shear rate is 200 to 2500 sec'l, 16. Method of Claim 15 wherein the lumen diameter (D) is 0.015 to 0.050 cm and the pore size of the porous membrane is within the range 0.4 to 0.6 vm. 15 or 17. Method of Claim/16 wherein the shear rate is 2400 to 2500 sec¯l. 15, or 17 18. Method of Claim/lE,/wherein the L/D ratio is not greater than about 460. 19. Method of Claim 18 wherein the L/D ratio is about 100 to about 350. any one of to 19 20. Method of/Clailwherein the fibers are blood wettable polypropylene fibers. 21. Method of Claim 9 comprising: (a) conducting blood in a forward direc tion into and through the fibers while maintaining a mean positive transmembrane pressure difference across the membranes from inlets to outlets of the hollow fibers; (b) terminating the forward conducting of blood; (c) conducting blood through the hollow fibers in the reverse direction; (d) collecting plasma-depleted blood from the outlets of the hollow fibers; (e) collecting plasma which has passed through the pores of the membranes; and (f) repeating in sequence steps (a), (b) and (c) to collect additional plasma-depleted blood and plasma, the effective length of the hollow fibers being such that the L/D ratio is no greater than 16,400 cm 1 D (L and D being in centimeters) and the velocity of the blood in steps (a) and (c), except at the beginning and end of each step, being such that the shear rate is 200 to 2500 sec'l. 22. Method of Claim 21 wherein the lumen diameter (D) is 0.015 to 0.050 cm and the pore size of the porous membrane is within the range 0.4 to 0.6 pm. 21 or 23. Method of Claim/22 wherein the shear rate is 1000 to 1200 sec'l. 21, or 23 24. Method of Claim/2Z/wherein the L/D ratio is not greater than about 540. 25. Method of Claim 24 wherein the L/D ratio is about 100 to about 350. any one of to 25 26. Method of/Claims 21/wherein the fibers are blood wettable polypropylene fibers. any one of to 26 27. Method of/Claims2l/wherein the volume of blood conducted in step (a) is different from the volume of blood conducted in step (c) 28. Method of Claim 27 wherein the volume of blood conducted in step (a) is greater than the volume of blood conducted in step (c). any one of to 28 29. Method of/Claims 21 /wherein the volume of blood conducted in either step (a) or step (c) is at least 5% of the total volume of blood in the system. any one of to 29 30. Method of/Clairr2l/wherein the trans- membrane pressure difference across part of the membranes is negative for part of the distance that the blood is conducted across the membranes. 31. Method of Claim 30 wherein the arithmetric product of: (a) the time-average of the transmembrane pressure while it is positive in a portion of the fiber and (b) the time in that portion of the fiber is greater than such product when the transmembrane pressure is negative.

Inventors: DUGGINS, RAY BROWN
Applicants: E.I. DU PONT DE NEMOURS AND COMPANY
Application year: 1983
Main classification: A61M1
IPC codes: A61M1, B01D61, B01D65, B01D63