期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 388, 期 4, 页码 399-406出版社
ELSEVIER
DOI: 10.1016/j.physa.2008.10.038
关键词
Exclusion process; Multi-species; Multi-scale modelling
资金
- Australian Research Council (ARC)
- Mat Simpson is an ARC Postdoctoral Fellow
- Kerry Landman is an ARC Professorial Fellow
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.
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