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The classical mean-field approach to modelling biological systems makes a number of simplifying assumptions which typically lead to coupled systems of reaction-diffusion partial differential equations. While these models have been very useful in allowing us to gain important insights into the behaviour of many biological systems, recent experimental advances in our ability to track and quantify cell behaviour now allow us to build more realistic models which relax some of the assumptions previously made. This brief review aims to illustrate the type of models obtained using this approach. © 2010 Mathematics Subject Classification. 35K57, 92B99.

Original publication

DOI

10.3934/dcds.2014.34.5123

Type

Journal article

Journal

Discrete and Continuous Dynamical Systems- Series A

Publication Date

01/01/2014

Volume

34

Pages

5123 - 5133