Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells

International Journal for Numerical Methods in Biomedical Engineering

Volumn 26, Issue 3-4, 2010, Pages 471-487

  Crowl, Lindsay M ^a   Fogelson, Aaron L ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

Immersed Boundary method; Lattice Boltzmann methods; Platelet near wall excess; Red blood cell membrane mechanics

Indexed keywords

IMMERSED BOUNDARY METHODS; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN METHODS; MEMBRANE MECHANICS; NEAR-WALL; RED BLOOD CELL;

BLOOD SUBSTITUTES; CELL MEMBRANES; COMPUTATIONAL FLUID DYNAMICS; CYTOLOGY; DROP FORMATION; HEMOGLOBIN OXYGEN SATURATION; MECHANICS; PLATELETS; SUSPENSIONS (FLUIDS); TURBULENT FLOW;

BLOOD;

EID: 77953099339     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1274     Document Type: Article

References (38)

1. Tangelder GJ, Teirlinck HC, Slaaf DW, Reneman RS. Distribution of blood platelets flowing in arterioles. American Journal of Physiology-Heart and Circulatory Physiology 1985; 248(3):H318-H323.
2. Woldhuis B, Tangelder GJ, Slaaf DW, Reneman RS. Concentration profile of blood platelets differs in arterioles and venules. American Journal of Physiology-Heart and Circulatory Physiology 1992; 262(4):H1217-H1223.
3. Tilles AW, Eckstein EC. The near-wall excess of platelet-sized particles in blood flow: its dependence on hematocrit and wall shear rate. Microvascular Research 1987; 33:211-223.
4. Eckstein EC, Tilles AW, Millero III FJ. Conditions for the occurrence of large near-wall excesses of small particles during blood flow. Microvascular Research 1988; 36:31-39.
5. Goldsmith H. Red cell motions and wall interactions in tube flow. Federation Proceedings 1971; 30(5):1578-1588.
6. Turitto V, Benis A, Leonard E. Platelet diffusion in flowing blood. Industrial and Engineering Chemistry Fundamentals 1972; 11(2):216-223.
7. Eckstein EC, Belgacem F. Model of platelet transport in flowing blood with drift and diffusion terms. Biophysical Journal 1991; 60:53-69.
8. Yeh C, Calvez AC, Eckstein EC. An estimated shape function for drift in a platelet-transport model. Biophysical Journal 1994; 67:1706-1716.
9. Yeh C, Eckstein EC. Transient lateral transport of platelet-sized particles in flowing blood suspensions. Biophysical Journal 1994; 66:1706-1716.
10. Aarts PA, van den Broek SA, Prins GW, Kuiken GD, Sixma JJ, Heethaar RM. Blood platelets are concentrated new the wall and red blood cells, in the center in flowing blood. Arteriosclerosis, Thrombosis, and Vascular Biology, Journal of the American Heart Association 1988; 8(6):819-824.
11. Fogelson AL. A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. Journal of Computational Physics 1984; 56:111-134.
12. Fogelson AL, Kuharsky A, Haoyu Yu H. Computational modeling of blood clotting: coagulation and three-dimensional platelet aggregation. In Polymer and Cell Dynamics: Multicsale Modeling and Numerical Simulations, Alt W, Chaplain M, Griebel M, Lenz J (eds). Birkhaeuser-Verlag: Basel, 2003; 145-154.
13. Fogelson AL, Guy RD. Immersed-boundary-type models of intravascular platelet aggregation. Computer Methods in Applied Mechanics and Engineering 2008; 197:2087-2104.
14. Sui Y, Chew YT, Low HT. A lattice Boltzmann study on the large deformation of red blood cells in shear flow. International Journal of Modern Physics C 2007; 18(6):993-1011.
15. Sui Y, Chew YT, Roy P, Chen XB, Low HT. Transient deformation of elastic capsules in shear flow: effect of membrane bending stiffness. Physical Review E 2007; 75:1-10.
16. Zhang J, Johnson P, Popel A. Red blood cell aggregation and dissociation in shear flows simulated by lattice Boltzmann method. Journal of Biomechanics 2007; 41:47-55.
17. McNamara GR, Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters 1988; 61(20):2332-2335.
18. Ladd A, Verberg R. Lattice-Boltzmann simulations of particle-fluid suspensions. Journal of Statistical Physics 2001; 104(5/6):1191-1251.
19. He X, Luo L. A priori derivation of the lattice Boltzmann equation. Physical Review E 1997; 55(6):R6333-R6336.
20. He X, Luo L. Lattice Boltzmann model for the incompressible Navier-Stokes equation. Journal of Statistical Physics 1997; 88(3/4):927-944.
21. Frisch U, Hasslacher B, Pomeau Y. Lattice-gas automata for the Navier-Stokes equation. Physical Review Letters 1986; 56(14):1505-1508.
22. He X, Luo L. Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Physical Review E 1997; 56(6):6811-6817.
23. Peskin C. Flow patterns around heart valves: a numerical method. Journal of Computational Physics 1972; 10:252-271.
24. Fogelson AL, Guy R. Platelet-wall interactions in continuum models of platelet aggregation: formulation and numerical solution. Mathematical Medicine and Biology 2004; 21(4):293-334.
25. Cortez R, Cowen N, Dillon R, Fauci L. Simulation of swimming organisms: coupling internal mechanics with external fluid dynamics. Computing in Science and Engineering 2004; 6(3):38-45.
26. Peskin C. The immersed boundary method. Acta Numerica 2002; 11:1-39.
27. Guo Z, Zheng C, Shi B. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E 2002; 65:1-6.
28. He X, Zou Q, Luo L, Dembo M. Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model. Journal of Statistical Physics 1997; 87(1/2):115-136.
29. Pozrikidis C. Modeling and Simulations of Capsules and Biological Cells. Chapman & Hall, CRC: Boca Raton, 2003.
30. Hochmuth R, Waugh R. Erythrocyte membrane elasticity and viscosity. Annual Review of Physiology 1987; 49:209-219.
31. Goldsmith H, Marlow J. Flow behavior of erythrocytes. I. Rotation and deformation in dilute suspensions. Proceedings of the Royal Society of London. Series B, Biological Sciences 1972; 182(1068):351-384.
32. Skalak R, Tozeren A, Zarda R, Chein S. Strain energy function of red blood cell membranes. Biophysical Journal 1973; 13(3):245-264.
33. Barthes-Biesel D, Diaz A, Dhenin E. Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation. Journal of Fluid Mechanics 2002; 460:211-222.
34. Pozrikidis C. Effect of membrane bending stiffness on the deformation of capsules in simple shear flow. Journal of Fluid Mechanics 2001; 440:269-291.
35. Fischer TM. Tank-tread frequency of the red cell membrane: dependence of the viscosity of the suspending medium. Biophysical Journal 2007; 93(14):2553-2561.
36. Bagchi P. Mesoscale simulation of blood flow in small vessels. Biophysical Journal 2007; 92:1858-1877.
37. Blackshear Jr P, Forstrom R, Dorman F, Voss G. Effect of flow on cells near walls. Federal Proceedings 1971; 30(5):1600-1609.
38. AlMomani T, Udaykumar HS, Marshall JS, Chandran KB. Micro-scale dynamic simulation of erythrocyte-platelet interaction in blood flow. Annals of Biomedical Engineering 2008; 36:905-920.