Motion of red blood cells near microvessel walls: Effects of a porous wall layer

Journal of Fluid Mechanics

Volumn 705, Issue , 2012, Pages 195-212

  Hariprasad, Daniel S ^a   Secomb, Timothy W ^b  

^a UNIVERSITY OF ARIZONA   (United States)

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

Author keywords

blood flow; capsule cell dynamics; flow vessel interactions

Indexed keywords

BLOOD VESSELS; CELLS; CYTOLOGY; HEMODYNAMICS; MAMMALS; NEWTONIAN LIQUIDS; PLASMA FLOW; POROUS MATERIALS; SHEAR FLOW;

BLOOD FLOW; FLOW-VESSEL INTERACTIONS; IMPERMEABLE BOUNDARY; MECHANICAL FACTORS; MECHANICAL INTERACTIONS; MOTION AND DEFORMATIONS; TWO DIMENSIONAL MODEL; VISCOELASTIC ELEMENTS;

BLOOD;

BLOOD; CELL ORGANELLE; POROUS MEDIUM; TWO-DIMENSIONAL MODELING; VISCOELASTIC FLUID;

MAMMALIA;

EID: 84871478894     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.102     Document Type: Article

References (49)

1. BARBER, J. O., ALBERDING, J. P., RESTREPO, J. M. & SECOMB, T. W. 2008 Simulated two-dimensional red blood cell motion, deformation, and partitioning in microvessel bifurcations. Ann. Biomed. Engng 36, 1690-1698.
2. BEAUCOURT, J., BIBEN, T. & MISBAH, C. 2004 Optimal lift force on vesicles near a compressible substrate. Europhys. Lett. 67, 676-682.
3. BRINKMAN, H. C. 1947 A Calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res. A 1, 27-34.
4. CAMERON, A. 1966 The Principles of Lubrication. Wiley.
5. CANTAT, I. & MISBAH, C. 1999 Lift force and dynamical unbinding of adhering vesicles under shear flow. Phys. Rev. Lett. 83, 880-883.
6. COUPIER, G., KAOUI, B., PODGORSKI, T. & MISBAH, C. 2008 Noninertial lateral migration of vesicles in bounded Poiseuille flow. Phys. Fluids 20.
7. DODDI, S. K. & BAGCHI, P. 2009 Three-dimensional computational modeling of multiple deformable cells flowing in microvessels. Phys. Rev. E 79, 046318.
8. DUPIN, M. M., HALLIDAY, I., CARE, C. M., ALBOUL, L. & MUNN, L. L. 2007 Modeling the flow of dense suspensions of deformable particles in three dimensions. Phys. Rev. E 75, 066707.
9. EVANS, E. A. 1983 Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipet aspiration tests. Biophys. J. 43, 27-30.
10. F°AHRAEUS, R. & LINDQVIST, T. 1931 The viscosity of the blood in narrow capillary tubes. Am. J. Physiol. 96, 562-568.
11. FEDOSOV, D. A., CASWELL, B., POPEL, A. S. & KARNIADAKIS, G. E. 2010 Blood flow and cell-free layer in microvessels. Microcirculation 17, 615-628.
12. FISCHER, T. M. 1980 On the energy dissipation in a tank-treading human red blood cell. Biophys. J. 32, 863-868.
13. FISCHER, T. M. 2004 Shape memory of human red blood cells. Biophys. J. 86, 3304-3313.
14. FISCHER, T. M., STOHR, M. & SCHMID-SCḦONBEIN, H. 1978 Red blood cell (rbc) microrheology: Comparison of the behaviour of single rbc and liquid droplets in shear flow. In Biorheology (ed. C.-R. Huang & A. L. Copley). AIChE Symposium Series No. 182, vol. 74, pp. 38-45. American Institute of Chemical Engineers.
15. FREUND, J. B. 2007 Leukocyte margination in a model microvessel. Phys. Fluids 19, 023301.
16. GOLDSMITH, H. L. 1971 Red cell motions and wall interactions in tube flow. Fed. Proc. 30, 1578-1590.
17. HOCHMUTH, R. M. & WAUGH, R. E. 1987 Erythrocyte membrane elasticity and viscosity. Annu. Rev. Physiol 49, 209-219.
18. HSU, R. & SECOMB, T. W. 1989 Motion of nonaxisymmetric red blood cells in cylindrical capillaries. Trans. ASME: J. Biomech. Engng 111, 147-151.
19. KAOUI, B., BIROS, G. & MISBAH, C. 2009 Why do red blood cells have asymmetric shapes even in a symmetric flow? Phys. Rev. Lett. 103, 188101.
20. KAOUI, B., RISTOW, G. H., CANTAT, I., MISBAH, C. & ZIMMERMANN, W. 2008 Lateral migration of a two-dimensional vesicle in unbounded Poiseuille flow. Phys. Rev. E 77, 111702.
21. LEIGHTON, D. & ACRIVOS, A. 1987 The shear-induced migration of particles in concentrated suspensions. J. Fluid Mech. 181, 415-439.
22. MAEDA, N., SUZUKI, Y., TANAKA, S. & TATEISHI, N. 1996 Erythrocyte flow and elasticity of microvessels evaluated by marginal cell-free layer and flow resistance. Am. J. Physiol. Heart Circ. Physiol. 271, H2454-H2461.
23. MCWHIRTER, J. L., NOGUCHI, H. & GOMPPER, G. 2009 Flow-induced clustering and alignment of vesicles and red blood cells in microcapillaries. Proc. Natl Acad. Sci. USA 106, 6039-6043.
24. OLLA, P. 1997 The role of tank-treading motions in the transverse migration of a spheroidal vesicle in a shear flow. J. Phys. A: Math. Gen. 30, 317-329.
25. PAN, W. X., CASWELL, B. & KARNIADAKIS, G. E. 2010 A low-dimensional model for the red blood cell. Soft Matt. 6, 4366-4376.
26. PIVKIN, I. V. & KARNIADAKIS, G. E. 2008 Accurate coarse-grained modeling of red blood cells. Phys. Rev. Lett. 101, 118105.
27. POISEUILLE, J. L. M. 1835 Recherches sur les causes du mouvement du sang dans les vaisseaux capillaires. C. R. Acad. Sci. 6, 554-560.
28. POISEUILLE, J. L. M. 1846 Recherches exṕerimentales sur le mouvement des liquides dans les tubes de tr̀es-petits diam̂etres. Mem. Presentes par Divers Savants Acad. Sci. Inst. Fr. IX, 433-544.
29. POZRIKIDIS, C. 2005 Numerical simulation of cell motion in tube flow. Ann. Biomed. Engng 33, 165-178.
30. PRIES, A. R., NEUHAUS, D. & GAEHTGENS, P. 1992 Blood viscosity in tube flow: dependence on diameter and hematocrit. Am. J. Physiol. 263, H1770-H1778.
31. PRIES, A. R. & SECOMB, T. W. 2008 Modeling structural adaptation of microcirculation. Microcirculation 15, 753-764.
32. PRIES, A. R., SECOMB, T. W. & GAEHTGENS, P. 1996 Biophysical aspects of blood flow in the microvasculature. Cardiovasc. Res. 32, 654-667.
33. PRIES, A. R., SECOMB, T. W. & GAEHTGENS, P. 2000 The endothelial surface layer. Pflugers Arch. 440, 653-666.
34. PRIES, A. R., SECOMB, T. W., GESSNER, T., SPERANDIO, M. B., GROSS, J. F. & GAEHTGENS, P. 1994 Resistance to blood flow in microvessels in vivo. Circulat. Res. 75, 904-915.
35. PRIES, A. R., SECOMB, T. W., SPERANDIO, M. & GAEHTGENS, P. 1998 Blood flow resistance during hemodilution: effect of plasma composition. Cardiovasc. Res. 37, 225-235.
36. SECOMB, T. W. 1995 Mechanics of blood flow in the microcirculation. Symp. Soc. Exp. Biol. 49, 305-321.
37. SECOMB, T. W. 2003 Mechanics of red blood cells and blood flow in narrow tubes. In Hydrodynamics of Capsules and Cells (ed. C. Pozrikidis), pp. 163-196. Chapman & Hall/CRC.
38. SECOMB, T. W. 2010 Mechanics and computational simulation of blood flow in microvessels. Med. Engng Phys., 33, 800-804.
39. SECOMB, T. W. & HSU, R. 1993 Non-axisymmetrical motion of rigid closely fitting particles in fluid-filled tubes. J. Fluid Mech. 257, 403-420.
40. SECOMB, T. W., HSU, R. & PRIES, A. R. 1998 A model for red blood cell motion in glycocalyx-lined capillaries. Am. J. Physiol. 274, H1016-H1022.
41. SECOMB, T. W., HSU, R. & PRIES, A. R. 2001 Effect of the endothelial surface layer on transmission of fluid shear stress to endothelial cells. Biorheology 38, 143-150.
42. SECOMB, T. W., HSU, R. & PRIES, A. R. 2002 Blood flow and red blood cell deformation in nonuniform capillaries: effects of the endothelial surface layer. Microcirculation 9, 189-196.
43. SECOMB, T. W. & SKALAK, R. 1982 A two-dimensional model for capillary flow of an asymmetric cell. Microvasc. Res. 24, 194-203.
44. SECOMB, T. W., SKALAK, R., ÖZKAYA, N. & GROSS, J. F. 1986 Flow of axisymmetric red blood cells in narrow capillaries. J. Fluid Mech. 163, 405-423.
45. SECOMB, T. W., STYP-REKOWSKA, B. & PRIES, A. R. 2007 Two-dimensional simulation of red blood cell deformation and lateral migration in microvessels. Ann. Biomed. Engng 35, 755-765.
46. SEIFERT, U. 1999 Hydrodynamic lift on bound vesicles. Phys. Rev. Lett. 83, 876-879.
47. SKOTHEIM, J. M. & MAHADEVAN, L. 2005 Soft lubrication: the elastohydrodynamics of nonconforming and conforming contacts. Phys. Fluids 17, 092101.
48. SUKUMARAN, S. & SEIFERT, U. 2001 Influence of shear flow on vesicles near a wall: a numerical study. Phys. Rev. E 64.
49. VAND, V. 1948 Viscosity of solutions and suspensions. I. Theory. J. Phys. Colloid Chem. 52, 277-299.