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Simulation of erythrocyte deformation and drug delivery using the Boltzmann network method
Abstract
In this paper, a combination of the Boltzmann network method and the immersion boundary simulates the behavior and deformation of erythrocytes with different primary shapes. Initially, erythrocytes were simulated with an elliptical geometry in a shear flow, and the deformation obtained was compared with the results of other researchers. Then, different geometries of red blood cells in shear flow and during their movement and displacement, simulation, and their gradual deformation have been observed and analyzed. In the following, the flow of fluid inside a blood vessel is modeled, and with its help, phenomena such as blockage of the blood vessel and drug delivery are studied. The results show that damage to the artery wall or deposition of fat masses will cause vortex blood flow and blood clot formation. Also, the quality of drug injection in this two-pronged artery is very influential in how it is delivered. Finally, comparing the results with the results of others shows that this simulation has acceptable accuracy
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Peskin C.S., Flow Patterns around Heart Valves: A Digital Computer Method for Solving the Equations of Motion, PhD Thesis, Physiology, Albert Einstein College of Medicine. Univ. Microfilms, Vol. 378, pp. 72-80, 1972.
Esfahani J. A., Alinejad J., Lattice Boltzmann simulation of viscous-fluid flow and conjugate heat transfer in a rectangular cavity with a heated moving wall, Thermophysics and Aeromechanics, Vol. 20, No. 5, pp. 613-620, 2013.
Esfahani J. A., Alinejad J., Entropy generation of conjugate natural convection in enclosures: the Lattice Boltzmann Method, Journal of Thermophysics and Heat Transfer, Vol. 27, No. 3, pp. 498-505, 2013.
Shu C., Peng, Y., and Chew Y. T., Simulation of natural convection in a square cavity by Taylor series expansion and least squares-based lattice Boltzmann method, International Journal of Modern Physics, Vol. 13, pp.1 399–1414, 2002.
D'Orazio A., Corcione M., and Celata G. P., Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition, International Journal of Thermal Sciences, Vol. 43, pp. 575–586, 2004.
Urquiza S.A., Blanco P.J., Vénere M.J. and Feijóo R.A., multidimensional modeling for the carotid blood flow, Comput. Meth. Appl. Mech. Engrg., Vol. 195, pp. 4002–4017, 2006.
Botnar R.H., Rappitsch G., Scheidegger M.B., Liepsch D., Perktold K., Boesiger P., Mass Transfer, Univ. of Calgary Press, Calgary 2007.
Deschamps T., Schwartz P, Trebotichc D, Colella P., Saloner D., Malladi R., Vessel segmentation and blood flow simulation using Level-Setsand Embedded Boundary methods, International Congress Series 1268, pp. 75-80, 2004.
Guo Z., and Zhao T. S., Lattice Boltzmann model for incompressible flows through porous media, Physical Review, Vol. E66, pp. 036304, 2002.
Mei R., Yu D., Shyy W., Luo L. Sh., Force evaluation in the lattice Boltzmann method involving curved geometry, Phys. Rev. Vol. E65, pp. 1-14, 2002.
Chopard B., and Luthi P. O., Lattice Boltzmann computations and applications to physics" Theoretical Computational Physics, Vol. 217, pp. 115-130, 1999.
Nourgaliev R. R., Dinh T. N., TheofanousT. G., and Joseph D., The lattice Boltzmann equation method: theoretical interpretation, numerics and implications, International Journal of Multiphase Flow, Vol. 29, No. 1, pp. 117–169, 2003.
Yu D., Mei R., Luo L. S., and Shyy W., Viscous flow computations with the method of lattice Boltzmann equation, Progress in Aerospace Science, Vol. 39, No. 5, pp. 329–367, 2003.
Mohammad A. A., Applied Lattice Boltzmann Method for Transport Phenomena Momentum Heat Mass Transfer, Univ. of Calgary Press, Calgary 2007.
Aghajani D. M., Farhadi M., and Sedighi K., Effect of heater location on heat transfer and entropy generation in the cavity using the lattice Boltzmann method, Heat Transfer Research, Vol. 40, pp. 521536, 2009.
Mezrhab A., Jami M., Abid C., Bouzidi M., and Lallemand P., Lattice Boltzmann modeling of natural convection in an inclined square enclosure with partitions attached to its cold wall, International Journal of Heat of Fluid Flow, Vol. 27, pp. 456-465, 2006.
He, X., and Luo, L. S., Lattice Boltzmann model for the incompressible Navier-Stokes equations,” Journal of Statistical Physics, Vol. 88, Nos. 3–4, pp.927–944, 1997.
Thürey, N., and Rüde, U., Stable free surface flows with the lattice Boltzmann method on adaptively coarsened grids, Computing and Visualization in Science, Vol. 12, pp. 247-263, 2009.
Bagchi, P., Johnson, P. C., Popel, A. S., Computational Fluid Dynamic Simulation of Aggregation of Deformable Cells in a Shear Flow, J. Biomech. Engng., Vol. 127, pp. 1070-1080, 2005.
Steenhoven, A.A., van de Vossea, F.N., Rindt, C.C.M., Janssenu, J.D., Renemanb, R.S., Experimental and Numerical Analysis of Carotid Artery Blood Flow, Applications to Atherogenesis and Clinical Medicine, Monogr Atheroscler. Basel, Karger, Vol. 15, pp. 250-260,1990.
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