Mechanics and computational simulation of blood flow in microvessels

Medical Engineering and Physics

Volumn 33, Issue 7, 2011, Pages 800-804

  Secomb, Timothy W ^a  

^a UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

Author keywords

Blood flow; Capillary; Microcirculation; Red blood cell

Indexed keywords

APPARENT VISCOSITY; AXISYMMETRIC MODELS; BLOOD FLOW; CAPILLARY; COMPUTATIONAL SIMULATION; CONCENTRATED SUSPENSION; MECHANICAL CHARACTERISTICS; MICROVESSELS; RAT MESENTERY; REALISTIC SIMULATION; RED BLOOD CELL; SHAPE CHANGE; TUMBLING MOTION; TWO-DIMENSIONAL SIMULATIONS; VISCOELASTIC ELEMENTS; YIELD PREDICTION;

BLOOD; CELLS; MICROCIRCULATION; SUSPENSIONS (FLUIDS);

BLOOD VESSELS;

ARTICLE; BIOMECHANICS; BLOOD FLOW; BLOOD VISCOSITY; ERYTHROCYTE; ERYTHROCYTE SHAPE; MESENTERY; MICROVASCULATURE; NONHUMAN; PRESSURE GRADIENT; PRIORITY JOURNAL; SHEAR FLOW; SHEAR RATE; SHEAR STRESS; SIMULATION; VISCOELASTICITY;

ANIMALS; BIOMECHANICS; BLOOD CIRCULATION; COMPUTER SIMULATION; HEMORHEOLOGY; HUMANS; MECHANICAL PROCESSES; MICROVESSELS; MODELS, BIOLOGICAL;

EID: 79961028803     PISSN: 13504533     EISSN: 18734030     Source Type: Journal    
DOI: 10.1016/j.medengphy.2010.09.016     Document Type: Article

References (27)

1. Fischer T.M. Shape memory of human red blood cells. Biophys J 2004, 86:3304-3313.
2. Pries A.R., Neuhaus D., Gaehtgens P. Blood viscosity in tube flow: dependence on diameter and hematocrit. Am J Physiol 1992, 263:H1770-H1778.
3. Fahraeus R., Lindqvist T. The viscosity of the blood in narrow capillary tubes. Am J Physiol 1931, 96:562-568.
4. Goldsmith H.L., Cokelet G.R., Gaehtgens P. Robin Fahraeus: evolution of his concepts in cardiovascular physiology. Am J Physiol 1989, 257:H1005-H1015.
5. Secomb T.W. Mechanics of blood flow in the microcirculation. Symp Soc Exp Biol 1995, 49:305-321.
6. Skalak R. Rheology of red blood cell membrane. Microcirculation 1976, vol. I:53-70. Plenum, New York.
7. Hochmuth R.M., Waugh R.E. Erythrocyte membrane elasticity and viscosity. Annu Rev Physiol 1987, 49:209-219.
8. Evans E.A. Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipet aspiration tests. Biophys J 1983, 43:27-30.
9. Evans E.A., Hochmuth R.M. Membrane viscoelasticity. Biophys J 1976, 16:1-11.
10. Barnard A.C.L., Lopez L., Hellums J.D. Basic theory of blood flow in capillaries. Microvasc Res 1968, 1:23-34.
11. Lighthill M.J. Pressure-forcing of tightly fitting pellets along fluid-filled elastic tubes. J Fluid Mech 1968, 34:113-143.
12. Evans E.A., Skalak R. Mechanics and thermodynamics of biomembranes 1980, CRC Press, Boca Raton, FL.
13. Secomb T.W. Interaction between bending and tension forces in bilayer membranes. Biophys J 1988, 54:743-746.
14. Timoshenko S. Theory of plates and shells 1940, McGraw-Hill, New York.
15. Secomb T.W., Skalak R., Ozkaya N., Gross J.F. Flow of axisymmetric red blood cells in narrow capillaries. J Fluid Mech 1986, 163:405-423.
16. Secomb T.W. Flow-dependent rheological properties of blood in capillaries. Microvasc Res 1987, 34:46-58.
17. Secomb T.W. Red blood cell mechanics and capillary blood rheology. Cell Biophys 1991, 18:231-251.
18. Secomb T.W. Mechanics of red blood cells and blood flow in narrow tubes. Hydrodynamics of capsules and cells 2003, 163-196. Chapman & Hall/CRC, Boca Raton, FL. C. Pozrikidis (Ed.).
19. Secomb T.W., Styp-Rekowska B., Pries A.R. Two-dimensional simulation of red blood cell deformation and lateral migration in microvessels. Ann Biomed Eng 2007, 35:755-765.
20. Skotheim J.M., Secomb T.W. Red blood cells and other nonspherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition. Phys Rev Lett 2007, 98:078301.
21. Cantat I., Misbah C. Lift force and dynamical unbinding of adhering vesicles under shear flow. Phys Rev Lett 1999, 83:880-883.
22. Keller S.R., Skalak R. Motion of a tank-treading ellipsoidal particle in a shear flow. J Fluid Mech 1982, 120:27-47.
23. Danker G., Vlahovska P.M., Misbah C. Vesicles in Poiseuille flow. Phys Rev Lett 2009, 102:148102.
24. Pries A.R., Secomb T.W., Gessner T., Sperandio M.B., Gross J.F., Gaehtgens P. Resistance to blood flow in microvessels in vivo. Circ Res 1994, 75:904-915.
25. Secomb T.W., Hsu R., Pries A.R. A model for red blood cell motion in glycocalyx-lined capillaries. Am J Physiol 1998, 274:H1016-H1022.
26. Pries A.R., Secomb T.W., Gaehtgens P. The endothelial surface layer. Pflugers Arch 2000, 440:653-666.
27. Leighton D., Acrivos A. The shear-induced migration of particles in concentrated suspensions. J Fluid Mech 1987, 181:415-439.