Mean-field descriptions of collective migration with strong adhesion.
Stuart T Johnston, Matthew J Simpson, Ruth E Baker
Phys Rev E Stat Nonlin Soft Matter Phys | Published : 2012
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.