Particle Dynamics Methods of Blood Flow Simulations

A. Tosenberger; V. Salnikov; N. Bessonov; E. Babushkina; V. Volpert

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 320-332
  • ISSN: 0973-5348

Abstract

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Various particle methods are widely used to model dynamics of complex media. In this work molecular dynamics and dissipative particles dynamics are applied to model blood flows composed of plasma and erythrocytes. The properties of the homogeneous particle fluid are studied. Capillary flows with erythrocytes are investigated.

How to cite

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Tosenberger, A., et al. "Particle Dynamics Methods of Blood Flow Simulations." Mathematical Modelling of Natural Phenomena 6.5 (2011): 320-332. <http://eudml.org/doc/222364>.

@article{Tosenberger2011,
abstract = {Various particle methods are widely used to model dynamics of complex media. In this work molecular dynamics and dissipative particles dynamics are applied to model blood flows composed of plasma and erythrocytes. The properties of the homogeneous particle fluid are studied. Capillary flows with erythrocytes are investigated. },
author = {Tosenberger, A., Salnikov, V., Bessonov, N., Babushkina, E., Volpert, V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {molecular dynamics; dissipative particle dynamics; blood flows; erythrocyte dynamics},
language = {eng},
month = {8},
number = {5},
pages = {320-332},
publisher = {EDP Sciences},
title = {Particle Dynamics Methods of Blood Flow Simulations},
url = {http://eudml.org/doc/222364},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Tosenberger, A.
AU - Salnikov, V.
AU - Bessonov, N.
AU - Babushkina, E.
AU - Volpert, V.
TI - Particle Dynamics Methods of Blood Flow Simulations
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 320
EP - 332
AB - Various particle methods are widely used to model dynamics of complex media. In this work molecular dynamics and dissipative particles dynamics are applied to model blood flows composed of plasma and erythrocytes. The properties of the homogeneous particle fluid are studied. Capillary flows with erythrocytes are investigated.
LA - eng
KW - molecular dynamics; dissipative particle dynamics; blood flows; erythrocyte dynamics
UR - http://eudml.org/doc/222364
ER -

References

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  1. C. Bui, V. Lleras, O. Pantz, Dynamics of red blood cells in 2D, ESAIM Proceedings, 28 (2009), 182–194.  
  2. M. M. Dupin, I. Halliday, C. M. Care, L. Alboul, L. L. Munn, Modeling the flow of dense suspensions of deformable particles in three dimensions, Physical Review E, 75 (2007), 066707.  
  3. P. Espanol, P. Warren, Statistical mechanics of dissipative particle dynamics. Europhys. Lett., 30 (1995) (4), 191–196.  
  4. D. A. Fedosov, I. V. Pivkin, G. E. Karniadakis, Velocity limit in DPD simulations of wall-bounded flows, Journal of Computational Physics, 227 (2008), 2540-2559.  
  5. D. A. Fedosov, B. Caswell, G. E. Karniadakis, A multiscale red blood cell model with accurate mechanics, rheology, and dynamics, Biophysical Journal, 98 (2010), 2215-2225.  
  6. D. A. Fedosov, Multiscale Modeling of Blood Flow and Soft Matter, PhD dissertation at Brown University, (2010).  
  7. A.L. Fogelson, em Cell-based models of blood clotting, In: A.R.A Anderson, A.A.J. Chaplain, K.A. Rejniak (Eds). Single-cell-based models in biology and medicine. Birkauser, Basel, 2007, pp. 243–270.  
  8. G.P. Galdi, R. Rannacher, A.M. Robertson, S. Turek, Hemodynamics flow. Modeling, analysis, and simulations, Birkhäuser, Basel, 2008.  
  9. R. D. Groot, P. B. Warren, Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation, J. Chem. Phys., 107 (1997) (11), 4423–4435.  
  10. S. M. Hosseini, J. J. Feng, A particle-based model for the transport of erythrocytes in capillaries, Chem. Eng. Sci., 64 (2009), 4488–4497.  
  11. M. Karttunen, I. Vattulainen, A. Lukkarinen, A novel methods in soft matter simulations, Springer, Berlin, 2004.  
  12. K. Tsubota, S. Wada, H. Kamada, Y. Kitagawa, R. Lima, T. Yamaguchi, A particle method for blood flow simulation, application to flowing red blood cells and platelets, Journal of the Earth Simulator, Volume 5, March 2006, 2–7.  

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