Multi-species simple exclusion processes

Matthew J. Simpson, Kerry A. Landman and Barry D. Hughes

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 399-406

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.

Keywords: Exclusion process; Multi-species; Multi-scale modelling (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:399-406

DOI: 10.1016/j.physa.2008.10.038

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