Modelling collective cell behaviour
Author(s) -
Deborah C. Markham,
Ruth E. Baker,
Philip K. Maini
Publication year - 2014
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2014.34.5123
Subject(s) - computer science , reaction–diffusion system , partial differential equation , statistical physics , field (mathematics) , mathematics , physics , mathematical analysis , pure mathematics
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
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