The Mathematical Institute, University of Oxford, Eprints Archive

Modelling collective cell behaviour

Markham, D C and Baker, R. E. and Maini, P. K. (2014) Modelling collective cell behaviour. Discrete and Continuous Dynamical Systems, 34 (12). pp. 5123-5133.

[img]
Preview
PDF
705kB

Abstract

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.

Item Type:Article
Uncontrolled Keywords:Discrete models, continuum models, volume exclusion, moment dynamics, cell biology.
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:1840
Deposited By: Philip Maini
Deposited On:21 Jun 2014 13:23
Last Modified:29 May 2015 19:32

Repository Staff Only: item control page