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Zbl 1201.34071
Cattani, Carlo; Ciancio, Armando; D'Onofrio, Alberto
Metamodeling the learning-hiding competition between tumours and the immune system: A kinematic approach. (English)
[J] Math. Comput. Modelling 52, No. 1-2, 62-69 (2010). ISSN 0895-7177

Summary: The competitive interaction between the Immune System and tumours is very complex, being non-linear and, to some extent, evolutionary. A fundamental aspect of this evolution is the asynchronous process of mutual learning of the two populations involved - the tumoural and the immune cells. In this work, to describe them, we propose a simple non-linear family of super-macroscopic models with non-monotonically time-varying coefficients. Numerical simulations of transitory phases complement the theoretical analysis.

MSC 2000:: *34C60 Applications of qualitative theory of ODE
92C60 Medical epidemiology
92C50 Medical appl. of mathematical biology

Keywords: tumour; immune system; learning; dynamical systems; time-varying parameters

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