Leukocytes dynamics in microcirculation under shear-thinning blood flow

Computers and Mathematics with Applications

Volumn 58, Issue 5, 2009, Pages 1035-1044

  Sequeira, A ^a   Artoli, A M ^a   Silva Herdade, A S ^b   Saldanha, C ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b INSTITUTO DE MEDICINA MOLECULAR JOÃO LOBO ANTUNES   (Portugal)

Author keywords

Blood rheology; Flow in microvessels; Inflammation; Leukocytes recruitment

Indexed keywords

ATTRACTIVE FORCE; BLOOD FLOW; BLOOD RHEOLOGY; BLOOD SAMPLES; CONTACT REGIONS; FLOW IN MICROVESSELS; HARD SPHERES; IN-VIVO MEASUREMENT; INDIVIDUAL CELLS; INFLAMMATION; LATERAL MOTION; LATTICE BOLTZMANN MODELS; LEUKOCYTES RECRUITMENT; RECRUITMENT PROCESS; RIGID WALL; ROLLING LEUKOCYTES; ROLLING PROCESS; SHEAR THINNING; SIMULATION RESULT; WISTAR RAT;

BLOOD; BLOOD VESSELS; CELL MEMBRANES; ELASTICITY; EMPLOYMENT; MICROCIRCULATION; PATHOLOGY; PLASTICITY; RHEOLOGY; SELF ASSEMBLY; SHEAR STRESS; STRENGTH OF MATERIALS; VISCOSITY;

FLOW SIMULATION;

EID: 67650554842     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.02.003     Document Type: Article

References (39)

1. Chien S. White blood cell rheology. In: Lowe G.D.O. (Ed). Clinical Blood Rheology (1988), CRC Press, Taylor and Francis 87-109
2. Baskurt O.K., Farely R.A., and Meiselman H.J. Erythrocyte aggregation tendency and cellular properties in horse, human, and rat: A comparative study. American Journal of Physiology-Hearth and Circulatory Physiology 273 (1997) 2604-2612
3. Ley K. Leukocyte recruitment as seen by intravital microscopy. In: Ley K. (Ed). Physiology and Inflammation (2001), Oxford University Press, New York 301-337
4. Rao R.M., Yang L., Garcia-Cardena G., and Luscinskas F.W. Endothelial-dependent mechanisms of leukocyte recruitment to the vascular wall. Circulation Research 101 (2007) 234-247
5. Evans A., and Calderwood D.A. Forces and bond dynamics in cell adhesion. Science 316 5828 (2007) 1148-1153
6. Sigbartl K., and Ley K. Leukocyte recruitment and acute renal failure. Journal of Molecular Medicine 82 (2004) 1432-1440
7. Lever R., and Page C.R. Novel drug development opportunities for heparin. Nature Review Drug Discovery 1 2 (2002) 140-148
8. Szekanecz Z., and Koch A.E. Therapeutic inhibition of leukocyte recruitment in inflammatory diseases. Current Opinion in Pharmacology 4 4 (2004) 423
9. Alon R., Chen S., Puri K.D., Finger E.B., and Springer T.A. The kinetics of L-selectin tethers and the mechanics of selectin-mediated rolling. Journal of Cell Biology 138 5 (1997) 1169-1180
10. Rosário H.S., Saldanha C., and Martins e Silva J. The effect of velnacrine in lipopolysaccharide-induced leukocyte-endothelial interaction. In: Fragell B. (Ed). 21st European Conference on Microcirculatin (2000), Monduzzi Editore, Bologna, Italy 79-82
11. Bell G.I. Models for the specific adhesion of cells to cells: A theoretical framework for adhesion mediated by reversible bonds between cell surface molecules. Science 200 (1978) 618-627
12. Bell G.I., Dembo M., and Bongrand P. Cell adhesion: Competition between non-specific repulsion and specific bonding. Biophysical Journal 45 (1984) 1051-1064
13. Evans E.A., and Calderwood D.A. Forces and bond dynamics in cell adhesion. Science 316 (2007) 1148-1153
14. Lou J., Yago T., Klopocki A.G., Mehta P., Chen W., Zarnitsyna V.I., Bovin N.V., Zhu C., and McEver R.P. Flow-enhanced adhesion regulated by a selectin interdomain hinge. Journal of Cell Biology 174 7 (2006) 1107-1117
15. Becker L.E., McKinley G.H., and Stone H.A. Sedimentation of a sphere near a plane wall: Weak non-Newtonian and inertial effects. Journal of Non-Newtonian Fluid Mechanics 63 (1996) 201-233
16. Tatum J.A., Finnis M.V., Lawson N.J., and Harrison G.M. 3-D particle image velocimetry of the flow field around a sphere sedimenting near a wall: Part 2: Effects of distance from the wall. Journal of Non-Newtonian Fluid Mechanics 127 (2005) 95-106
17. Tatum J.A., Finnis M.V., Lawson N.J., and Harrison G.M. 3-D particle image velocimetry of the flow field around a sphere sedimenting near a wall: Part 1. Effects of Weissenberg number. Journal of Non-Newtonian Fluid Mechanics 141 (2007) 99-115
18. Arigo M.T., and McKinley G.H. An experimental investigation of negative wakes behind spheres settling in a shear-thinning viscoelastic fluid. Rheologica Acta 37 (1998) 307
19. Artoli A.M., Sequeira A., Silva-Herdade A.S., and Saldanha C. Leukocytes rolling and recruitment by endothelial cells: Hemorheological experiments and numerical simulations. Journal of Biomechanics 40 15 (2007) 3493-3502
20. d'Humiéres D., Lallemand P., and Frisch U. Lattice gas models for 3D hydrodynamics. Europhysics Letters 2 (1986) 291-297
21. McNamara G.R., and Zanetti G. Use of the Boltzmann equation to simulate Lattice-Gas Automata. Physical Review Letters 61 (1988) 2332-2335
22. Higuera F.J., Succi S., and Benzi R. Lattice gas dynamics with enhanced collisions. Europhysics Letters 9 (1989) 345-349
23. Migliorini C., Qian Y., Chen H., Brown E.B., Jain R.K., and Munn L.L. Red blood cells augment leukocyte rolling in a virtual blood vessel. Biophysical Journal 83 (2002) 1834-1841
24. Sun C., Migliorini C., and Munn L.L. Red blood cells initiate leukocyte rolling in postcapillary expansions: A lattice Boltzmann analysis. Biophysical Journal 85 (2003) 208-222
25. Sun C., and Munn L.L. Particulate nature of blood determines macroscopic rheology: A 2-D lattice Boltzmann analysis. Biophysical Journal 88 (2003) 1635-1645
26. Boek E.S., Chin J., and Coveney P.V. Lattice Boltzmann simulation of the flow of non-Newtonian fluids in porous media. International Journal of Modern Physics B 17 1-2 (2003) 99-102
27. Boyd J., Buick J., and Green S.A. A second-order accurate lattice Boltzmann non-Newtonian flow model. Journal of Physics A: Mathematics and General 39 (2006) 14241-14247
28. Ginzburg I., and Steiner K.A. Free-surface lattice Boltzmann method for modelling the filling of expanding cavities by Bingham fluids. Philosophical Transactions of the Royal Society of London A 360 (2002) 453-466
29. Artoli A.M., and Sequeira A. Mesoscopic simulations of unsteady shear-thinning flows. Lecture Notes in Computer Science 3992 (2006) 78-85
30. Qian Y.H., and Deng Y.F. A lattice BGK model for viscoelastic media. Physical Review Letters 79 14 (1997) 2742-2745
31. Giraud L., d'Humiéres D., and Lallemand P. A lattice Boltzmann model for Jeffreys viscoelastic fluid. Europhysics Letters 42 (1998) 625-630
32. Lallemand P., d'Humiéres D., Luo L.-S., and Rubinstein R. Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluids. Physical Review E 67 2 (2003) 021203
33. Chopard B., and Droz M. Cellular Automata Modeling of Physical Systems (1998), Cambridge University Press
34. A.M. Artoli, Mesoscopic computational haemodynamics, Ph.D. Thesis, University van Amsterdam, The Netherlands, 2003
35. A.M. Artoli, J. Janela, A. Sequeira, A comparative numerical study of a non-Newtonian blood flow model, in: Proceedings of the 2006 IASME/WSEAS, International Conference on Continuum Mechanics, Chalkida, Greece, 11-13 May, 2006, pp. 91-96
36. Bouzidi M., Firdaouss M., and Lallemand P. Momentum transfer on a Boltzmann lattice fluid with boundaries. Physics of Fluids 13 (2001) 3452-3459
37. Zou Q., and He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Physics of Fluids 9 (1997) 1591-1598
38. Lallemand P., and Luo L.-S. Lattice Boltzmann method for moving boundaries. Journal of Computational Physics 184 (2003) 406-421
39. Dardik A., Yamashita A., Aziz F., Asada H., and Sumpio B. Shear stress-stimulated endothelial cells induce smooth muscle cell chemotaxis via platelet-derived growth factor-BB and interleukin-1α. Journal of Vascular Surgery 41 (2005) 321-331