Building macroscale models from microscale probabilistic models : a general probabilistic approach for nonlinear diffusion and multispecies phenomena
Data(s) |
17/10/2011
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Resumo |
A discrete agent-based model on a periodic lattice of arbitrary dimension is considered. Agents move to nearest-neighbor sites by a motility mechanism accounting for general interactions, which may include volume exclusion. The partial differential equation describing the average occupancy of the agent population is derived systematically. A diffusion equation arises for all types of interactions and is nonlinear except for the simplest interactions. In addition, multiple species of interacting subpopulations give rise to an advection-diffusion equation for each subpopulation. This work extends and generalizes previous specific results, providing a construction method for determining the transport coefficients in terms of a single conditional transition probability, which depends on the occupancy of sites in an influence region. These coefficients characterize the diffusion of agents in a crowded environment in biological and physical processes. |
Formato |
application/pdf |
Identificador | |
Publicador |
American Physical Society |
Relação |
http://eprints.qut.edu.au/75344/1/PhysRevE.84.041120.pdf DOI:10.1103/PhysRevE.84.041120 Penington, Catherine, Hughes, Barry, & Landman, Kerry (2011) Building macroscale models from microscale probabilistic models : a general probabilistic approach for nonlinear diffusion and multispecies phenomena. Physical Review E, 84, 041120-1. |
Direitos |
Copyright 2011 American Physical Society |
Fonte |
Institute of Health and Biomedical Innovation; School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #010202 Biological Mathematics |
Tipo |
Journal Article |