Mean-field descriptions of collective migration with strong adhesion

Stuart T. Johnston, Matthew J. Simpson, and Ruth E. Baker
Phys. Rev. E 85, 051922 – Published 29 May 2012

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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  • Received 21 March 2012

DOI:https://doi.org/10.1103/PhysRevE.85.051922

©2012 American Physical Society

Authors & Affiliations

Stuart T. Johnston1, Matthew J. Simpson1,2, and Ruth E. Baker3

  • 1School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia
  • 2Tissue Repair and Regeneration Program, Institute of Health and Biomedical Innovation (IHBI), Queensland University of Technology, Brisbane, Australia
  • 3Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St Giles’, Oxford OX1 3LB, United Kingdom

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Issue

Vol. 85, Iss. 5 — May 2012

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