Reconciling transport models across scales: The role of volume exclusion
Taylor, Paul, Yates, Christian, Simpson, Matthew, & Baker, Ruth (2015) Reconciling transport models across scales: The role of volume exclusion. Physical Review E, 92, 040701.
Diffusive transport is a universal phenomenon, throughout both biological and physical sciences, and models of diffusion are routinely used to interrogate diffusion-driven processes. However, most models neglect to take into account the role of volume exclusion, which can significantly alter diffusive transport, particularly within biological systems where the diffusing particles might occupy a significant fraction of the available space. In this work we use a random walk approach to provide a means to reconcile models that incorporate crowding effects on different spatial scales. Our work demonstrates that coarse-grained models incorporating simplified descriptions of excluded volume can be used in many circumstances, but that care must be taken in pushing the coarse-graining process too far.
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|Item Type:||Journal Article|
|Keywords:||diffusion, Random walk, Exclusion process|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)|
|Divisions:||Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Facilities:||Central Analytical Research Facility|
|Copyright Owner:||Copyright 2015 American Physical Society|
|Deposited On:||04 Jan 2016 05:03|
|Last Modified:||04 Jan 2016 21:08|
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