Model Studies of the Rheology of Blood in Microvessels

  • Michael R. T. Yen
Part of the NATO ASI Series book series (NSSA, volume 235)


In the microcirculation, blood cannot be treated as a homogeneous fluid, but rather as a suspension. The individual cellular elements influence the hemodynamics. In this chapter, we shall study the behavior of red cells in microvessels. We will focus on the general features of cell-vessel interaction and their effect on the apparent viscosity of blood. Model experiments are used in these studies. In our models, the plasma is simulated by a silicone fluid, the red cells are simulated by gelatin pellets. With the model approach, apparent viscosity of blood in pulmonary capillaries is obtained. The Fahraeus-Lindqvist effect, Inversion of Fahraeus-Lindqvist effect, velocity distribution in microvessels, hematocrit in very narrow tubes, etc. are investigated.


Apparent Viscosity Daughter Tube Tube Entrance Silicone Fluid Capillary Blood Vessel 
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  1. 1.
    Barbee JJ, Cokelet GR: The Fahraeus effect, Microvas. Res., 3: 1–21, 1971.Google Scholar
  2. 2.
    Chien S, Dellenback RJ, Usami S, Gregersen MI: Plasma trapping in hematocrit determination. Differences among animal species, Proc. Soc. Exptl. Biol. Med., 119: 1155–1158, 1965.CrossRefGoogle Scholar
  3. 3.
    Dientenfass L: Inversion of the Fahraeus Lindqvist phenomenon in blood flow through capillaries of diminishing radius, Nature, 215: 1099–1100, 1967.CrossRefGoogle Scholar
  4. 4.
    Fahraeus R: The suspension stability of the blood, Physiol. Rev., 9: 241–274, 1929.Google Scholar
  5. 5.
    Fahraeus R, Lindqvist T: The viscosity of the blood in narrow capillary tubes, Am. J. Physiol., 96: 562–568, 1931.Google Scholar
  6. 6.
    Fung YC: Blood flow in the capillary bed, J. Biomech., 2: 353–373, 1969.CrossRefPubMedGoogle Scholar
  7. 7.
    Fung YC, Sobin SS: Theory of sheet flow in the lung alveoli, J. Appl. Physiol., 26: 472–488, 1969.PubMedGoogle Scholar
  8. 8.
    Fung YC, Sobin SS: Pulmonary alveolar blood flow, Circ. Res., 30: 470–490, 1972.Google Scholar
  9. 9.
    Fung YC: Stochastic flow in capillary blood vessels, Microvascular Res., 5: 34–38, 1973.CrossRefGoogle Scholar
  10. 10.
    Fung YC: Interaction of blood cells with vessel walls in microcirculation, Thrombosis Research, 8 (Suppl. II): 315–327, 1976.CrossRefPubMedGoogle Scholar
  11. 11.
    Fung YC: Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, New York, 1981.Google Scholar
  12. 12.
    Fung YC: Biodynamics: Circulation, Springer-Verlag, New York, 1984.Google Scholar
  13. 13.
    Fung YC: Biomechanics: Motion, Flow, Stress, and Growth, Springer-Verlag, New York, 1990.Google Scholar
  14. 14.
    Gaehtgens, P: Flow of blood through narrow capillaries: Rheological mechanisms determining capillary hematocrit and apparent viscosity, Biorheology J., 17: 183–189, 1980.Google Scholar
  15. 15.
    Goldsmith HL: Deformation of human red cells in tube flow, Biorheology, 7: 235–242, 1971.PubMedGoogle Scholar
  16. 16.
    Gregersen MI, Bryant CA, Hammerle WE, Usami S, Chien S: Flow characteristics of human erythrocytes through polycarbonate sieves, Science, 157: 825–827, 1967.CrossRefPubMedGoogle Scholar
  17. 17.
    Lee JS: Slow viscous flow in a lung alveoli model: J. Biomech., 2: 187–198, 1969.CrossRefPubMedGoogle Scholar
  18. 18.
    Lee JS, Fung YC: Modeling experiments of a single red blood cell moving in a capillary blood vessel, Microvascular Res., 1: 221–243, 1969.CrossRefGoogle Scholar
  19. 19.
    Lew HS, Fung YC: Plug effect of erythrocytes in capillary blood vessels, Biophys. J., 10: 80–99, 1970.CrossRefPubMedGoogle Scholar
  20. 20.
    Lipowsky HH, Usami S, Chien S: In vivo measurement of “apparent viscosity” and microvessel hematocrit in the mesentery of the cat, Microvascular Res., 19: 297–319, 1980.CrossRefGoogle Scholar
  21. 21.
    Schmid-Schoenbein GW, Skalak R, Usami S, Chien S: Cell distribution in capillary networks, Microvascular Res., 19: 18–44, 1980.CrossRefGoogle Scholar
  22. 22.
    Sheshadri V, Sutera SP: Concentration changes of suspensions of rigid spheres flowing through tubes, J. Colloid Interface Sci., 27: 101–110, 1968.CrossRefGoogle Scholar
  23. 23.
    Skalak RA, Tozeren A, Zarda RP, Chien S: Strain energy function of red blood cell membrane, Biophys. J., 13: 245–246, 1973.CrossRefPubMedGoogle Scholar
  24. 24.
    Sobin SS, Tremer HM, Fung YC: Morphometric basis of the sheet-flow concept of the pulmonary alveolar microcirculation in the cat, Circ. Res., 26: 397–414, 1970.Google Scholar
  25. 25.
    Sobin SS, Fung YC, Tremer H, Rosenquist TH: Elasticity of the pulmonary intervalveolar microvascular sheet in the cat, Circ. Res., 30: 440–450, 1972.Google Scholar
  26. 26.
    Sutera SR, Seshadri V, Croce PA, Hochmuth RM: Capillary blood flow II. Deformable model cells in tube flow, Microvascular Res., 2: 420–433, 1970.CrossRefGoogle Scholar
  27. 27.
    Svanes J, Zweifach RW: Variations in small blood vessel hematocrits produced in hypothermic rats by micro-occlusion, Microvasc. Res., 1: 210–221, 1969.Google Scholar
  28. 28.
    Yen RT, Fung YC: Model experiments on apparent blood viscosity and hematocrit in pulmonary alveoli, J. Appl. Physiol, 35: 510–517, 1973.PubMedGoogle Scholar
  29. 29.
    Yen RT, Fung YC: Inversion of Fahraeus effect and effect of mainstream flow on capillary hematocrit, J. Appl. Physiol., 42 (4): 578–586, 1977.PubMedGoogle Scholar
  30. 30.
    Yen RT, Fung YC: Effect of velocity distribution on red cell distribution in capillary blood vessels, Am. J. Physiol., 235 (2): H251 - H257, 1978.PubMedGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Michael R. T. Yen
    • 1
  1. 1.Department of Biomedical EngineeringMemphis State UniversityMemphisUSA

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