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math.AP2018
Incompressible limit of a continuum model of tissue growth for two cell populations
P. Degond, S. Hecht, N. Vauchelet
This paper investigates the incompressible limit of a system modelling the growth of two cells population. The model describes the dynamics of cell densities, driven by pressure ex…
math.AP2018★ 5 cited
The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations
Benoît Perthame, Nicolas Vauchelet, Zhian Wang
The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic for…