Calder, M. and Degasperi, A. (2010) Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration. Electronic Notes in Theoretical Computer Science, 268, pp. 49-59. (doi: 10.1016/j.entcs.2010.12.005)
Full text not currently available from Enlighten.
Abstract
We present the derivation of a CTMC with levels model of diusion in cylindrical coordinates from the partial dierential equation for Fick's law. The resulting model abstracts both molar concentration, by discrete levels, and spatial location, by discrete compartments. We apply the results to the diusion of nitric oxide in human vessels and illustrate with simulations in the PRISM tool.
| Item Type: | Articles |
|---|---|
| Additional Information: | Presented at CS2Bio'10 1st International Workshop on Interactions between Computer Science and Biology |
| Keywords: | geometrical space, reaction-diusion equations, cylindrical coordinates, partial dierential equations, CTMC with levels |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Degasperi, Mr Andrea and Calder, Professor Muffy |
| Authors: | Calder, M., and Degasperi, A. |
| College/School: | College of Science and Engineering > School of Computing Science |
| Journal Name: | Electronic Notes in Theoretical Computer Science |
| ISSN: | 1571-0661 |
| ISSN (Online): | 1571-0661 |
University Staff: Request a correction | Enlighten Editors: Update this record
Funder and Project Information
Funder and Project Information