Pattern Formation in Hybrid Models of Cell Population

Vitaly Volpert 1 N. Bessonov 2 Polina Kurbatova 1
1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGMC - Centre de génétique moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne], UCBL - Université Claude Bernard Lyon 1 : EA
Abstract : The paper is devoted to hybrid discrete-continuous models of cell populations dynamics. Cells are considered as individual objects which can divide, die by apoptosis, differentiate and move under external forces. Intra-cellular regulatory networks are described by ordinary differential equations while extracellular species by partial differential equations. We illustrate the application of this approach to some model examples and to the problem of tumor growth. Hybrid models of cell populations present an interesting nonlinear dynamics which is not observed for the conventional continuous models.
Type de document :
Chapitre d'ouvrage
Pattern Formation in Morphogenesis, Springer-Verlag, pp.107-119, 2013, Springer Proceedings in Mathematics, 978-3-642-20164-6. <10.1007/978-3-642-20164-6_10>
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https://hal.archives-ouvertes.fr/hal-00846783
Contributeur : Vitaly Volpert <>
Soumis le : samedi 20 juillet 2013 - 09:03:24
Dernière modification le : mercredi 14 décembre 2016 - 01:03:29

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Vitaly Volpert, N. Bessonov, Polina Kurbatova. Pattern Formation in Hybrid Models of Cell Population. Pattern Formation in Morphogenesis, Springer-Verlag, pp.107-119, 2013, Springer Proceedings in Mathematics, 978-3-642-20164-6. <10.1007/978-3-642-20164-6_10>. <hal-00846783>

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