Multi-species simple exclusion processes |
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Authors: | Matthew J Simpson Kerry A Landman Barry D Hughes |
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Institution: | Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia |
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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. |
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Keywords: | 87 10 -e 87 10 Ed 87 10 Hk |
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