期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 51, 期 5-6, 页码 441-451出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2009.12.002
关键词
Living matters; Evolution; Mutations; System biology; Nonlinear Interactions; Stochastic games; Active particles
类别
资金
- European Union FP7 Health Research [FP7-HEALTH-F4-2008-202047]
- Termination of developmental processes and their reactivation in adult life
- Ministerio de Ciencia e Innovacion (Spain) [MTM2008-05271]
- Junata de Andalucia [P08-FQM-4267]
This paper deals with a multiscale modelling approach to complex biological systems constituted by several interacting entities. The methodology is based on mathematical kinetic theory for active particles and is focused on the modelling of complex multicellular systems under therapeutic actions at the cellular level and mutations with onset of new populations. Asymptotic hyperbolic methods are developed to derive models at the macroscopic scale of tissues from the underlying description at the level of cells for a open system with variable number of populations. (C) 2009 Elsevier Ltd. All rights reserved.
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