Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems

This paper deals with the derivation of macroscopic tissue models from the underlying description delivered by a class of equations that models binary mixtures of multicellular systems by methods of the kinetic theory for active particles. Cellular interactions generate both modi¯cation of the biological functions and proliferative and destructive events. The asymptotic analysis deals with suitable parabolic and hyperbolic limits, and is speci¯cally focused on the modeling of the chemotaxis phenomena.