Robin Fåhraeus: evolution of his concepts in cardiovascular physiology.

We give an account of the work of Robin Fåhraeus over the years 1917-1938, his contribution to our understanding of blood rheology, and its relevance to circulatory physiology. Fåhraeus published few original papers on this subject, yet he clearly understood the phenomena occurring in the tube flow of mammalian blood. 1) The concentration of cells in a tube less than 0.3 mm in diameter differs from that in the larger feed tube or reservoir, the Fåhraeus effect. This is due to a difference in the mean velocity of cells and plasma in the smaller vessel associated with a nonuniform distribution of the cells. 2) In tubes less than 0.3 mm in diameter, the resistance to blood flow decreases with decreasing tube diameter, the Fåhraeus-Lindqvist effect. We define and generalize the two effects and describe how red cell aggregation at low shear rates affects cell vessel concentration and resistance to flow. The fluid mechanical principles underlying blood cell lateral migration in tube flow and its application to Fåhraeus' work are discussed. Experimental data on the Fåhraeus and Fåhraeus-Lindqvist effects are given for red cells, white cells, and platelets. Finally, the extension of the classical Fåhraeus effect to microcirculatory beds, the Fåhraeus Network effect, is described. One of the explanations for the observed, very low average capillary hematocrits is that the low values are due to a combination of the repeated phase separation of red cells and plasma at capillary bifurcations (network effect) and the single-vessel Fåhraeus effect.

[1]  Robin Fåhræus,et al.  THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .

[2]  V. Vand Viscosity of solutions and suspensions; theory. , 1948, The Journal of physical and colloid chemistry.

[3]  G. W. Blair The importance of the sigma phenomenon in the study of the flow of blood , 1961 .

[4]  H. Thomas The wall effect in capillary instruments: an improved analysis suitable for application to blood and other particulate suspensions , 1962 .

[5]  V. Seshadri,et al.  Concentration changes of suspensions of rigid spheres flowing through tubes , 1968 .

[6]  Apparent Viscosity of Coarse, Concentrated Suspensions in Tube Flow , 1970 .

[7]  J. H. Dial,et al.  Influence of flow variations on capillary hematocrit in mesentery. , 1971, The American journal of physiology.

[8]  S. K. Hsu,et al.  The lateral migration of solid particles in a laminar flow near a plane , 1977 .

[9]  B. Zweifach,et al.  Methods for the simultaneous measurement of pressure differentials and flow in single unbranched vessels of the microcirculation for rheological studies. , 1977, Microvascular research.

[10]  P. Gaehtgens,et al.  Fahraeus effect and cell screening during tub flow of human blood. I. Effect of variation of flow rate. , 1978, Biorheology.

[11]  L. G. Leal,et al.  The motion of a deformable drop in a second-order fluid , 1979, Journal of Fluid Mechanics.

[12]  S Chien,et al.  In vivo measurements of "apparent viscosity" and microvessel hematocrit in the mesentery of the cat. , 1980, Microvascular research.

[13]  L. G. Leal,et al.  Particle Motions in a Viscous Fluid , 1980 .

[14]  A. Pries,et al.  Analysis of the hematocrit distribution in the mesenteric microcirculation. , 1982, International journal of microcirculation, clinical and experimental.

[15]  D. Slaaf,et al.  Localization within a thin optical section of fluorescent blood platelets flowing in a microvessel. , 1982, Microvascular research.

[16]  B. Duling,et al.  Direct measurement of microvessel hematocrit, red cell flux, velocity, and transit time. , 1982, The American journal of physiology.

[17]  H. Goldsmith,et al.  Margination of leukocytes in blood flow through small tubes. , 1984, Microvascular research.

[18]  B Dawant,et al.  Effect of dispersion of vessel diameters and lengths in stochastic networks. II. Modeling of microvascular hematocrit distribution. , 1986, Microvascular research.

[19]  Regional platelet concentration in blood flow through capillary tubes. , 1986, Microvascular research.

[20]  A. Pries,et al.  Generalization of the Fahraeus principle for microvessel networks. , 1986, The American journal of physiology.

[21]  P. Gaehtgens,et al.  Blood viscosity in small tubes: effect of shear rate, aggregation, and sedimentation. , 1987, The American journal of physiology.

[22]  Vital microscopic studies on the capillary distribution of leukocytes in the rat cremaster muscle. , 1987, International journal of microcirculation, clinical and experimental.

[23]  C. Desjardins,et al.  Microvessel hematocrit: measurement and implications for capillary oxygen transport. , 1987, The American journal of physiology.