Pattern Formation in Hybrid Models of Cell Populations

  • N. Bessonov
  • P. Kurbatova
  • V. Volpert
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 15)


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute of Mechanical Engineering ProblemsSaint PetersburgRussia
  2. 2.Institut Camille Jordan, University Lyon 1, UMR 5208 CNRSVilleurbanneFrance

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