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.
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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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