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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.

Original publication

DOI

10.1103/PhysRevE.85.051922

Type

Journal article

Journal

Phys Rev E Stat Nonlin Soft Matter Phys

Publication Date

05/2012

Volume

85

Keywords

Adhesiveness, Diffusion, Models, Theoretical, Motion