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math.AP2013★ 1 cited
Stochastic homogenization of the Keller-Segel chemotaxis system
Anastasios Matzavinos, Mariya Ptashnyk
In this paper, we focus on the Keller-Segel chemotaxis system in a random heterogeneous domain. We assume that the corresponding diffusion and chemotaxis coefficients are given by…
math.AP2013
Homogenization approach to water transport in plant tissues with periodic microstructures
Andrés Chavarría-Krauser, Mariya Ptashnyk
Water flow in plant tissues takes place in two different physical domains separated by semipermeable membranes: cell insides and cell walls. The assembly of all cell insides and ce…