Geodesic
Particle Dynamics Modelling of Cell Populations
N. Bessonov1, 2 ; P. Kurbatova2 ; V. Volpert2
1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Institute Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 42-47

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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
DOI : 10.1051/mmnp/20105707

N. Bessonov 1, 2 ; P. Kurbatova 2 ; V. Volpert 2

1 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2 Institute Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France 
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N. Bessonov; P. Kurbatova; V. Volpert. Particle Dynamics Modelling of Cell Populations. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 42-47. doi: 10.1051/mmnp/20105707

[1] M. Karttunen, I. Vattulainen, A. Lukkarinen. A novel methods in soft matter simulations. Springer, Berlin, 2004.

[2] N. Bessonov, L. Pujo-Menjouet, V. Volpert Cell modelling of hematopoiesis Math. Model. Nat. Phenom. 2006 81 103

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