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Mean-field descriptions of collective migration with strong adhesion

Johnston, Stuart, Simpson, Matthew, & Baker, Ruth (2012) Mean-field descriptions of collective migration with strong adhesion. Physical Review E, 85(5), 051922-1 .

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Abstract

Random walk models based on an exclusion process with contact effects are often used to represent collective migration where individual agents are affected by agent-to-agent adhesion. Traditional mean field representations of these processes take the form of a nonlinear diffusion equation which, for strong adhesion, does not predict the averaged discrete behavior. We propose an alternative suite of mean-field representations, showing that collective migration with strong adhesion can be accurately represented using a moment closure approach.

Impact and interest:

11 citations in Scopus
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10 citations in Web of Science®

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Full-text downloads:

43 since deposited on 18 May 2012
22 in the past twelve months

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ID Code: 50414
Item Type: Journal Article
Keywords: cell migration, cell adhesion, kirkwood superposition approximation, moment closure approximation
DOI: 10.1103/PhysRevE.85.051922
ISSN: 1550-2376
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 American Physical Society
Deposited On: 18 May 2012 17:04
Last Modified: 26 Oct 2012 15:29

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