Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. (English) Zbl 1402.92065
Summary: 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 modification of the biological functions and proliferative and destructive events. The asymptotic analysis deals with suitable parabolic and hyperbolic limits, and is specifically focused on the modeling of the chemotaxis phenomena.
MSC:
| 92C17 | Cell movement (chemotaxis, etc.) |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
Keywords:
living systems; kinetic theory; multicellular systems; chemotaxis; asymptotic limits; hyperbolic limits; diffusion limitsSoftware:
ChemotaxisReferences:
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