Multi-species simple exclusion processes

Authored by Matthew J. Simpson, Barry D. Hughes, Kerry A Landman

Date Published: 2009-02-15

DOI: 10.1016/j.physa.2008.10.038

Sponsors: Australian Research Council (ARC)

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

A motility mechanism based on a simple exclusion process, where the movement of discrete agents on a lattice is either unbiased (symmetric) or biased (asymmetric) is considered. Estimates of diffusivities from tracking data do not describe the population-level response of the system. This mismatch between the individual-level and population-level behaviour can be resolved by averaging the individual-level mechanism in terms of an expected site occupancy. New insight into simple exclusion processes is obtained by representing the system as a series of interacting subpopulations. This formalism leads to a system of nonlinear advection-diffusion equations which can be interpreted in terms of the agent fluxes. These interactions have consequences for both agent-based modelling and continuum modelling in cell biology, such as tracking subpopulations of cells within a total cell population. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

Tags

Exclusion process Multi-scale modelling Multi-species