Modeling chemotaxis from $L^2$--closure moments in kinetic theory of active particles
Nicola Bellomo - Department of Mathematica Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (email)
Abstract: This paper deals with the derivation of macroscopic tissue models from the underlying description delivered by a class of equations modeling binary mixtures of multi-cellular systems by methods of the kinetic theory for active particles. Cellular interactions generate both modification of biological functions and proliferative-destructive events. The analysis refers to a suitable hyperbolic approximation to show how the macroscopic tissue behavior can be described from the underlying cellular description. The approach is specifically focused on the modeling of chemotaxis phenomena by the Keller--Segel approximation.
Keywords: Living systems, cancer cells, chemotaxis, kinetic
theory, multi-cellular systems, closure method,
Received: March 2012; Revised: May 2012; Available Online: February 2013.
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