title: Mean-field descriptions of collective migration with strong adhesion.
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.
authors.affiliation: School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia.
authors.forename: Stuart T
authors.initials: ST
authors.lastname: Johnston
authors.forename: Matthew J
authors.initials: MJ
authors.lastname: Simpson
authors.forename: Ruth E
authors.initials: RE
authors.lastname: Baker
mesh_terms: D000268:Adhesiveness; D004058:Diffusion; D008962:Models, Theoretical; D009038:Motion