Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration

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)

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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:Calder, Professor Muffy and Degasperi, Mr Andrea
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

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
441081SIGNAL - stochastic process algebra for biochemical signalling pathway analysisMuffy CalderEngineering & Physical Sciences Research Council (EPSRC)EP/E028519/1Computing Science