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Mathematical Models and Methods in Applied Sciences· 2015Q1

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

Nicola Bellomo, Abdelghani Bellouquid, Yixin Tao, Michael Winkler

Short summary

This paper surveys and critically analyzes Keller–Segel chemotaxis models, focusing on preventing non-physical solution blow-ups and deriving macroscopic models from kinetic theory.

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Field: Modeling and Simulation

Modeling and SimulationMathematics