Numerical simulation of red blood cell behavior in a stenosed arteriole using the immersed boundary-lattice Boltzmann method

International Journal for Numerical Methods in Biomedical Engineering

Volumn 28, Issue 2, 2012, Pages 239-256

  Vahidkhah, Koohyar ^a   Fatouraee, Nasser ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

IB LBM; Intercellular interaction; Microcirculation; Neo Hookean elastic; Red blood cell

Indexed keywords

BENDING RESISTANCE; BLOOD FLOW; BOLTZMANN METHODS; CELL AGGREGATES; ELASTIC MODELS; HYDRODYNAMIC PROPERTIES; IB-LBM; INCOMPRESSIBLE NEWTONIAN FLUID; INTERCELLULAR INTERACTIONS; MECHANICAL RESISTANCE; MEMBRANE ADHESION; MORSE POTENTIALS; NEO-HOOKEAN ELASTIC; POISEUILLE FLOW; RED BLOOD CELL; VISCOUS FORCES;

CELL MEMBRANES; CYTOLOGY; DEFORMATION; MICROCIRCULATION;

BLOOD;

ARTERIOLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; ERYTHROCYTE; ERYTHROCYTE DEFORMABILITY; HEMODYNAMICS; HUMAN; MICROCIRCULATION; PATHOPHYSIOLOGY; PERIPHERAL OCCLUSIVE ARTERY DISEASE; PHYSIOLOGY;

ARTERIAL OCCLUSIVE DISEASES; ARTERIOLES; COMPUTER SIMULATION; ERYTHROCYTE DEFORMABILITY; ERYTHROCYTES; HEMODYNAMICS; HUMANS; MICROCIRCULATION; MODELS, CARDIOVASCULAR;

EID: 84857444745     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1463     Document Type: Article

References (34)

1. Mazumdar JN. Biofluid Mechanics. World Scientific Publishing Company: London, 1992.
2. Popel AS, Johnson PC. Microcirculation and hemorheology. Annual Review of Fluid Mechanics 2005; 37:43-69.
3. Lee GYH, Lim CT. Biomechanics approaches to studying human diseases. Trends in Biotechnology 2007; 25:111-118.
4. Suresh S. Mechanical response of human red blood cells in health and disease: some structure-property-function relationships. Journal of Materials Research 2006; 21:1871-1877.
5. Sharan M, Popel AS. A two-phase model for blood flow in narrow tubes with increased viscosity near the wall. Biorheology 2001; 38:415-428.
6. Fahraeus R. The suspension stability of blood. Physiological Reviews 1929; 9:241-274.
7. Pozrikidis C. Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow. Journal of Fluid Mechanics 1995; 297:123-152.
8. Pozrikidis C. Numerical simulation of the flow-induced deformation of red blood cells. Annals of Biomedical Engineering 2003; 31:1194-1205.
9. Eggleton CD, Popel AS. Large deformation of red blood cell ghosts in a simple shear flow. Physics of Fluids 1998; 10(8):1834-1845.
10. Goldsmith HL, Marlow JC. Flow Behavior of Erythrocytes - part II: Particle Motions in Concentrated Suspensions of Ghost Cells. Journal of Colloid and Interface Science 1979; 71(2):383-407.
11. Bagchi P. Mesoscale simulation of blood flow in small vessels. Biophysical Journal 2007; 92(6):1858-1877.
12. Fahraeus R, Lindqvist T. The viscosity of blood in narrow capillary tubes. American Journal of Physiology 1931; 96:562-568.
13. Chen S, Doolen GD. Lattice Boltzmann Method for Fluid Flows. Annual Review of Fluid Mechanics 1998; 30:329-364.
14. Sun C, Munn LL. Particulate nature of blood determines macroscopic rheology: a 2-D lattice Boltzmann analysis. Biophysical Journal 2005; 88(3):1635-1645.
15. Sun C, Munn LL. Lattice-Boltzmann simulation of blood flow in digitized vessel networks. Computers and Mathematics with Applications 2008; 55:1594-1600.
16. Sun C, Munn LL. Influence of erythrocyte aggregation on leukocyte margination in postcapillary expansions: a lattice Boltzmann analysis. Physica A 2006; 362:191-196.
17. Tsubota K, Wada S, Kamada H, Kitagawa Y, Lima R, Yamaguchi T. A Particle Method for Blood Flow Simulation-Application to Flowing Red Blood Cells and Platelets. Journal of the Earth Simulator 2006; 5:2-7.
18. Hosseini SM, Feng JJ. A particle-based model for the transport of erythrocyte in capillaries. Chemical Engineering Science 2009; 64:4488-4497.
19. Liu Y, Zhang L, Wang X, Liu WK. Coupling of Navier-Stokes equations with protein molecular dynamics and its application to hemodynamics. International Journal for Numerical Methods in Fluids 2004; 46:1237-1252.
20. Zhang J, Johnson PC, Popel AS. An immersed boundary lattice Boltzmann approach to simulate deformable liquid capsules and its application to microscopic blood flows. Physical Biology 2007; 4:285-295.
21. Zhang J, Johnson PC, Popel AS. Red blood cell aggregation and dissociation in shear flows simulated by lattice Boltzmann method. Journal of Biomechanics 2008; 41:47-55.
22. Zhang J, Johnson PC, Popel AS. Effects of erythrocyte deformability and aggregation on the cell free layer and apparent viscosity of microscopic blood flows. Microvascular Research 2009; 77:265-272.
23. Smith W, Wang JJ, Wong TY, Rochtchina E, Klein R, Leeder SR, Mitchell P. Retinal arteriolar narrowing is associated with 5-year incident severe hypertension. Hypertension 2004; 44:442-447.
24. Wong TY, Klein R, Sharrett AR, Duncan BB, Couper DJ, Tielsch JM, Klein BE, Hubbard LD. Journal of American Medical Association 2002; 287(9):1153-1159.
25. Hao J, Zhu L. A lattice Boltzmann implicit immersed boundary method for fluid-structure interaction. Computers and Mathematics with Applications 2009; 59(1):185-193.
26. Peskin S. The immersed boundary method. Acta Numerica 2002; 11:479-517.
27. Hochmuth RM, Waugh RE. Erythrocyte membrane elasticity and viscosity. Annual Review of Psychology 1987; 49:209-219.
28. Evans EA. Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipette spiration tests. Biophysical Journal 1983; 43:27-30.
29. Sukop C, Thorne DT. Lattice Boltzmann Modeling - An introduction for Geoscientists and Engineers. Springer: Berlin, Heidelberg, New York, 2006.
30. Schlichting H, Gersten K. Boundary Layer Theory, 8th Revised and Enlargened Edition. Springer: Berlin, 2000. pp. 19, fig 1.12.
31. Xiong W, Zhang J. Shear Stress Variation Induced by Red Blood Cell Motion in Microvessel. Annals of Biomedical engineering 2010; 38(8):2649-2659.
32. Pries AR, Secomb TW. Microvascular blood viscosity in vivo and the endothelial surface layer. American Journal of Physiology 2005; 289:H2657-H2664.
33. Skalak R, Branemark P. Deformation of red blood cells in capillaries. Science 1969; 164:717-719.
34. Wang C, Popel AS. Effect of Red Blood Cell Shape on Oxygen Transport in Capillaries. Mathematical Biosciences 1993; 116:89-110.