An asymptotic analysis from kinetic to macroscopic scale for multicellular growing systems

Abstract

This paper deals with the analysis of the asymptotic limit towards the derivation of hyperbolic and parabolic macroscopic models for a class of equations modeling binary mixtures of multicellular systems by methods of the kinetic theory for active particles. Cellular interactions generate both modification of biological functions and proliferative/destructive events related to growth of tumor cells in competition with the immune system. The asymptotic analysis refers to the hyperbolic and parabolic limit to show how the macroscopic tissue behavior can be described by linear and nonlinear hyperbolic and parabolic systems.