From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models

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Abstract

This paper deals with the derivation of macroscopic equations from the underlying kinetic model delivered by the kinetic theory of active particles with discrete microscopic states. Hyperbolic models for local density and mean velocity are obtained with the aim at adding further knowledge to mathematical methods for modelling living matter.

Keywords

Kinetic theory
Multicellular systems
Asymptotic limits
Nonlinear problems

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