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Particle Dynamics Modelling of Cell Populations

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
N. Bessonov ,
P. Kurbatova  and
V. Volpert
N. Bessonov
Affiliation:
Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia Institute Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
P. Kurbatova
Affiliation:
Institute Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
V. Volpert*
Affiliation:
Institute Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
*
*Corresponding author: E-mail: volpert@math.univ-lyon1.fr
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Abstract

Evolution of cell populations can be described with dissipative particle dynamics, where each cell moves according to the balance of forces acting on it, or with partial differential equations, where cell population is considered as a continuous medium. We compare these two approaches for some model examples

Keywords

particles dynamicscontinuous mediumpoint source
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 42 - 47
Copyright
© EDP Sciences, 2010

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References

M. Karttunen, I. Vattulainen, A. Lukkarinen. A novel methods in soft matter simulations. Springer, Berlin, 2004.
Bessonov, N., Pujo-Menjouet, L., Volpert, V.. Cell modelling of hematopoiesis . Math. Model. Nat. Phenom., 1 (2006), No. 2, 81-103.CrossRefGoogle Scholar