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Book Sections Year : 2013

Pattern Formation in Hybrid Models of Cell Population


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.

Dates and versions

hal-00846783 , version 1 (20-07-2013)



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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