Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (3): 251-258.

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A TWO-PARAMETER MODEL FOR THREE TYPES OF NUCLEPORE FILTRATION OF LEUKOCYTES

Shao Jinyu1, Yan Zongyi2, Zhuang Fengyuan1, Sun Ruijuan1   

  1. 1. Department of Biorheology, Research Institute, China-Japan Friendship Hospita1-Bejing 100029, P. R. China;
    2. Department of Mechanics, Peking University, Beijing 100971. P. R. China
  • Received:1995-09-18 Revised:1996-09-30 Online:1997-03-18 Published:1997-03-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

Abstract: Micropore filtration of leukocytes is one of the main methods for evaluating leukocytes deformability. Here a biofluid mechanical model was proposed for three cases: (i) firltration under gravity; (ii)constant pressure filtration; (iii) constant flow rate filtration. In previous models, constant blood cell resistance was assumed. In this paper, when evaluating the filter resistance to leukocytes, not only the effect of the change in the driving pressure but also the difference in the deformability of individual leukocytes are taken into consideration. Moreover, based on Moessmer’s experimental results, a probability distribution function .for the transit time of polymorphonuclear cells (PMNs) through the filter is assumed. Finally, numerical curves are obtained for the above three types of filtration and the comparison between the theoretical andexperimental results of PMNs for case (i) turns out to be satisfactorv The two parameters in the model. A and B represent leukocytes deformability under low and high pressures respectively.

Key words: leukocytes, nuclepore filtration, theoretical model, hemorheology

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