Particulate nature of blood determines macroscopic rheology: A 2-D lattice Boltzmann analysis

Biophysical Journal

Volumn 88, Issue 3, 2005, Pages 1635-1645

  Sun, Chenghai ^a   Munn, Lance L ^a  

^a MASSACHUSETTS GENERAL HOSPITAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BLOOD FLOW; FLOW KINETICS; FLOW RATE; GEOMETRY; HYDRODYNAMICS; LEUKOCYTE ROLLING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MICROVASCULATURE; PARTICULATE MATTER; SHEAR RATE; VELOCITY; VISCOSITY; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD RHEOLOGY; BLOOD VESSEL; BLOOD VISCOSITY; CELL ADHESION; CELL MOTION; COMPUTER SIMULATION; CYTOLOGY; ERYTHROCYTE; EVALUATION; FUNCTIONS OF THE HEMIC, LYMPHATIC AND RETICULOENDOTHELIAL SYSTEMS; HEMATOCRIT; LEUKOCYTE; METHODOLOGY; MICROFLUIDICS; PARTICLE SIZE; PHYSIOLOGY;

BLOOD FLOW VELOCITY; BLOOD PHYSIOLOGY; BLOOD PRESSURE; BLOOD VESSELS; BLOOD VISCOSITY; CELL ADHESION; CELL MOVEMENT; COMPUTER SIMULATION; ERYTHROCYTES; HEMATOCRIT; HEMORHEOLOGY; LEUKOCYTES; MICROFLUIDICS; MODELS, CARDIOVASCULAR; PARTICLE SIZE;

EID: 21244497888     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.104.051151     Document Type: Article

References (36)

1. Aidun, C. K., Y. Lu, and E. J. Ding. 1998. Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. J. Fluid Mech. 373:287-311.
2. Bernardin, D., O. E. Seroguillaume, and C. H. Sun. 1991. Multispecies 2D lattice gas with energy-levels: diffusive properties. Physica D. 47:169-188.
3. Bhatnagar, P., E. Gross, and M. Krook. 1954. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94:511-525.
4. Chang, K., and D. A. Hammer. 1996. Influence of direction and type of applied force on the detachment of macromolecularly bound particles from surfaces. Langmuir. 12:2271-2282.
5. Chang, K., D. F. J. Tees, and D. A. Hammer. 2000. The state diagram for cell adhesion under flow. Proc. Natl. Acad. Sci. USA. 97:11262-11267.
6. Chapman, G. B., and G. R. Cokelet. 1997. Model studies of leukocyte-endothelium-blood interaction. Biorheology. 34:37-56.
7. Chapman, G. B., and G. R. Cokelet. 1998. Flow resistance and drag forces due to multiple adherent leukocytes in postcapillary vessels. Biophys. J. 74:3292-3301.
8. Chen, H., S. Chen, and W. H. Matthaeus. 1992. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. A. 45:5339-5342.
9. Das, B., P. Johnson, and A. Popel. 2000. Computational fluid dynamic studies of leukocyte adhesion effects on non-Newtonian blood flow through microvessels. Biorheology. 37:239-258.
10. Dong, C., J. Cao, E. J. Struble, and H. H. Lipowsky. 1999. Mechanics of leukocyte deformation and adhesion to endothelium in shear flow. Ann. Biomed. Eng. 27:298-312.
11. Eggleton, C. D., and A. S. Popel. 1998. Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluids. 10:1834-1845.
12. Fahraeus, R., and T. Lindqvist. 1931. The viscosity of the blood in narrow capillary tubes. Am. J. Physiol. 96:562-568.
13. Fung, Y. C. 1981. Biodynamics. Springer-Verlag, New York.
14. Goldsmith, H. L., G. R. Cokelet, and P. Gaehtgens. 1989. Robin Fahraeus: evolution of his concepts in cardiovascular physiology. Am. J. Physiol. 257:H1005-H1015.
15. Goldsmith, H. L., and T. Karino. 1977. Microscopic considerations: the motions of individual particles. Ann. N. Y. Acad. Sci. 283:241-255.
16. Goldsmith, H. L., and J. C. Marlow. 1979. Flow behavior of erythrocytes. II. Particle motions in concentrated suspensions of ghost cells. J. Colloid Interface Sci. 71:383-407.
17. Hammer, D. A., and S. M. Apte. 1992. Simulation of cell rolling and adhesion on surfaces in shear flow: general results and analysis of selectin-mediated neutrophil adhesion. Biophys. J. 63:35-37.
18. Helmke, B. P., S. N. Bremne, B. W. Zweifach, R. Skalak, and G. W. Schmid-Schonbein. 1997. Mechanisms for increased blood flow resistance due to leukocytes. Am. J. Physiol. 273:H2884-H2890.
19. King, M. R., D. Bansal, M. B. Kim, and I. H. Sarelius. 2004. The effect of hematocrit and leukocyte adherence on flow direction in the microcirculation. Ann. Biomed. Eng. 32:803-814.
20. King, M. R., and D. A. Hammer. 2001a. Multiparticle adhesive dynamics interaction between stably and rolling cells. Biophys. J. 81:799-813.
21. King, M. R., and D. A. Hammer. 2001b. Multiparticle adhesive dynamics: hydrodynamic recruitment of rolling leukocytes. Proc. Natl. Acad. Sci. USA. 98:14919-14924.
22. Ladd, A. C. J. 1994. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J. Fluid Mech. 271:285-309.
23. Migliorini, C., Y. Qian, H. Chen, E. Brown, R. Jain, and L. Munn. 2002. Red blood cells augment leukocyte rolling in a virtual blood vessel. Biophys. J. 83:1834-1841.
24. N'Dri, N. A., W. Shyy, and R. Tran-Son-Tay. 2003. Computational modeling of cell adhesion and movement using a continuum-kinetics approach. Biophys. J. 85:2273-2286.
25. Popel, A. S., and P. C. Johnson. 2005. Microcirculation and hemorheology. Annual Review of Fluid Mechanics. 37:43-69.
26. Pries, A. R., D. Neuhaus, and P. Gaehtgens. 1992. Blood viscosity in tube flow: dependence on diameter and hematocrit. Am. J. Physiol. 263: H1770-H1778.
27. Qian, Y. H., D. d'Humieres, and P. Lallemand. 1992. Lattice BGK models for Navier-Stokes equations. Europhys. Lett. 17:479-483.
28. Schmid-Schobein, G. W., S. Usami, R. Skalak, and S. Chien. 1980. The interaction of leukocytes and erythrocytes in capillary and postcapillary vessels. Microvasc. Res. 19:45-70.
29. Secomb, T. W. 2003. Mechanics of red blood cells and blood flow in narrow tubes. In Modeling and simulation of capsules and biological cells. C. Pozrikidis, editor. Chapman & Hall/CRC, Boca Raton, FL: London, UK; New York, NY; Washington, DC. 163-196.
30. Sharan, M., and A. S. Popel. 2001. A two-phase model for flow of blood in narrow tubes with increased effective viscosity near the wall. Biorheology. 38:415-428.
31. Shyy, W., M. Francois, H. S. Udaykumar, N. N'Dri, and R. Tran -Son-Tay. 2001. Moving boundaries in micro-scale biofluid dynamics. ASME: Appl. Mech. Rev. 54:405-453.
32. Skalak, R., and S. Chien. 1987. Handbook of Bioengineering. McGraw-Hill, New York, NY.
33. Sun, C. H. 2000. Adaptive lattice Boltzmann model for compressible flows: viscous and conductive properties. Phys. Rev. E. 61:2645-2653.
34. Sun, C. H., and A. T. Hsu. 2003. Three-dimensional lattice Boltzmann model for compressible flows. Phys. Rev. E. 68:016303.
35. Sun, C. H., C. Migliorini, and L. L. Munn. 2003. Red blood cells initiate leukocyte rolling in postcapillary expansions: a lattice Boltzmann analysis. Biophys. J. 85:208-222.
36. Zao, Y., S. Chien, and S. Weinbaum. 2001. Dynamic contact forces on leukocyte microvilli and their penetration of the endothelial glycocalyx. Biophys. J. 80:1124-1140.