Lattice Boltzmann modelling of blood cell dynamics

References

• Alexeev, A., Verberg, R., and Balazs, A.C., 2006. Modeling the interactions between deformable capsules rolling on a compliant surface, Soft Matter 2 (2006), pp. 499–509.
   PubMed Web of Science ®Google Scholar
• Bagchi, P., Johnson, P.C., and Popel, A.S., 2005. Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow, Journal of Biomechanical Engineering 127 (2005), pp. 1070–1080.
   PubMed Web of Science ®Google Scholar
• Bhatnagar, P.E., Gross, P.E., and Krook, M., 1954. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Physical Review A 94 (1954), p. 511.
   Web of Science ®Google Scholar
• Boryczko, K., Dzwinel, W., and Yuen, D.A., 2003. Dynamical clustering of red blood cells in capillary vessels, Journal of Molecular Modeling (Online) 9 (2003), pp. 16–33.
   PubMed Web of Science ®Google Scholar
• Buxton, G.A., et al., 2005. Newtonian fluid meets an elastic solid: coupling lattice Boltzmann and lattice-spring models, Physical Review E 71 (2005), p. 056707.
   Web of Science ®Google Scholar
• Dao, M., Lim, C.T., and Suresh, S., 2003. Mechanics of the human red blood cell deformed by optical tweezers, Journal of the Mechanics and Physics of Solids 51 (2003), pp. 2259–2280.
   Web of Science ®Google Scholar
• d'Humieres, D., et al., 2002. Multiple-relaxation-time lattice Boltzmann models in three dimensions, Philosophical Transactions of the Royal Society of London, Series A 360 (2002), pp. 437–451.
   Web of Science ®Google Scholar
• Dupin, M.M., Halliday, I., and Care, C.M., 2004. A many-component lattice Boltzmann equation simulation for transport of deformable particles, Philosophical Transactions of the Royal Society of London, Series A 362 (2004), pp. 1885–1914.
   Web of Science ®Google Scholar
• Dupin, M.M., et al., 2007. Modeling the flow of dense suspensions of deformable particles in three dimensions, Physical Review E 75 (2007), p. 066707.
   PubMed Web of Science ®Google Scholar
• .
   Google Scholar
• Eggleton, C.D., and Popel, A.S., 1998. Large deformation of red blood cell ghosts in a simple shear flow, Physics of Fluids 10 (1998), pp. 1834–1845.
   PubMed Web of Science ®Google Scholar
• Evans, E.A., and Fung, Y.C., 1972. Improved measurements of the erythrocyte geometry, Microvascular Research 4 (1972), pp. 335–347.
   PubMed Web of Science ®Google Scholar
• Evans, E.A., and Skalak, R., 1980. Mechanics and thermodynamics of biomembranes. Boca Raton, FL: CRC; 1980.
   Google Scholar
• Fahraeus, R., 1929. The suspension stability of the blood, Physiological Reviews 9 (1929), pp. 241–274.
   Google Scholar
• Fahraeus, R., and Lindqvist, T., 1931. Viscosity of blood in narrow capillary tubes, The American Journal of Physics 96 (1931), pp. 562–568.
   Google Scholar
• Feng, Z.-G., and Michaelides, E.E., 2004. The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems, Journal of Computational Physics 195 (2004), pp. 602–628.
   Web of Science ®Google Scholar
• Fung, Y.C., 1984. Biomechanics: mechanical properties of living tissues. New York, NY: Springer-Verlag; 1984.
   Google Scholar
• Gallivan, M.A., et al., 1997. An evaluation of the bounce back boundary condition for lattice Boltzmann simulations, International Journal of Numerical Methods in Fluids 25 (1997), pp. 249–263.
   Web of Science ®Google Scholar
• Ghosh, A., et al., 2006. Euler buckling-induced folding and rotation of red blood cells in an optical trap, Physical Biology 3 (3) (2006), pp. 67–73.
   PubMed Web of Science ®Google Scholar
• Guo, Z., Zheng, C., and Shi, B., 2002. Discrete lattice effects on the forcing term in the lattice Boltzmann method, Physical Review E 65 (2002), p. 046308.
   PubMed Web of Science ®Google Scholar
• Hou, S., et al., 1995. An improved incompressible lattice Boltzmann model for time-independent flows, Journal of Statistical Physics 81 (1995), pp. 35–48.
   Web of Science ®Google Scholar
• Kroll, D.M., and Gompper, G., 1992. The conformation of fluid membranes: Monte Carlo simulations, Science 255 (1992), pp. 968–971.
   PubMed Web of Science ®Google Scholar
• Ladd, A.J.C., and Verberg, R., 2001. Lattice-Boltzmann simulations of particle–fluid suspensions, Journal of Statistical Physics 104 (2001), pp. 1191–1251.
   Web of Science ®Google Scholar
• Latt, J., and Chopard, B., 2006. Lattice Boltzmann method with regularized nonequilibrium distribution functions, Mathematics and Computers in Simulation 72 (2006), pp. 165–168.
   Web of Science ®Google Scholar
• Li, J., et al., 2005. Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte, Biophysical Journal 88 (2005), pp. 3707–3719.
   PubMed Web of Science ®Google Scholar
• Liboff, R.L., 2003. Kinetic theory. New York, NY: Springer; 2003.
   Google Scholar
• Liu, Y., and Liu, W.K., 2006. Rheology of red blood cell aggregation by computer simulation, Journal of Computational Physics 220 (2006), pp. 139–154.
   Web of Science ®Google Scholar
• Liu, W.K., et al., 2006. Immersed finite element method and its applications to biological systems, Computer Methods in Applied Mechanics and Engineering 195 (2006), pp. 1722–1749.
   PubMed Web of Science ®Google Scholar
• Maeda, N., et al., 1996. Erythrocyte flow and elasticity of microvessels evaluated by marginal cell-free layer and flow resistance, American Journal of Physiology 271 (1996), p. H2454.
   PubMed Web of Science ®Google Scholar
• Mills, J.P., et al., 2004. Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers, Mechanics and Chemistry of Biosystems 1 (2004), pp. 169–180.
   PubMedGoogle Scholar
• Noble, D.R., et al., 1995. A consistent hydrodynamic boundary condition for the lattice Boltzmann method, Physics of Fluids 7 (1995), pp. 203–209.
   Web of Science ®Google Scholar
• Nogushi, H., and Gompper, G., 2004. Fludi vesicles with viscous membranes in shear flow, Physical Review Letters 93 (2004), p. 258102.
   PubMed Web of Science ®Google Scholar
• Nogushi, H., and Gompper, G., 2005. Shape transitions of fluid vesicles and red blood cells in capillary flows, Proceedings of the National Academy of Sciences 102 (2005), pp. 14159–14164.
   PubMed Web of Science ®Google Scholar
• Peskin, C.S., and Prinz, B., 1993. Improved volume conservation in the computation of flows with immersed elastic boundaries, Journal of Computational Physics 105 (1993), pp. 113–132.
   Web of Science ®Google Scholar
• Pries, A.R., Neuhaus, D., and Gaehtgens, P., 1992. Blood viscosity in tube flow: dependence on diameter and hematocrit, American Journal of Physiology 263 (1992), pp. H1770–H1778.
   PubMed Web of Science ®Google Scholar
• Qian, Y.H., d'Humières, D., and Lallemand, P., 1992. Lattice BGK models for the Navier–Stokes equation, Europhysics Letters 17 (1992), pp. 479–484.
   Google Scholar
• Succi, S., 2001. The lattice Boltzmann equation for fluid mechanics and beyond. London: Clarendon Press; 2001.
   Google Scholar
• Sukop, M.C., and Thorne, D.T., 2006. Lattice Boltzmann modeling – an introduction for geoscientists and engineers. New York, NY: Springer; 2006.
   Google Scholar
• Sun, C., and Munn, L.L., 2006. Influence of erythrocyte aggregation on leukocyte margination in postcapillary expansions: a lattice Boltzmann analysis, Physica A 362 (2006), pp. 191–196.
   Web of Science ®Google Scholar
• Suresh, S., et al., 2005. Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria, Acta Biomaterialia 1 (2005), pp. 16–30.
   Web of Science ®Google Scholar
• Zou, Q., and He, X.Y., 1997. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Physical of Fluids 9 (1997), pp. 1591–1598.
   Web of Science ®Google Scholar