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Complexity and mathematical tools toward the modelling of multicellular growing systems. (English) Zbl 1190.92001

Summary: This paper deals with a multiscale modelling approach to complex biological systems constituted by several interacting entities. The methodology is based on a 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.

MSC:

92B05 General biology and biomathematics
92C37 Cell biology
60K99 Special processes
91A15 Stochastic games, stochastic differential games
92D15 Problems related to evolution
92C42 Systems biology, networks
92B20 Neural networks for/in biological studies, artificial life and related topics

Software:

Chemotaxis
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References:

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