Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration | Zendy

Andrea Degasperi | Zendy; Muffy Calder | Zendy

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Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration

Author(s) -

Andrea Degasperi,

Muffy Calder

Publication year - 2010

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2010.12.005

Subject(s) - partial differential equation , diffusion , prism , cylindrical coordinate system , diffusion equation , mathematical analysis , molar , mathematics , physics , thermodynamics , geology , optics , paleontology , economy , economics , service (business)

We present the derivation of a CTMC with levels model of diffusion in cylindrical coordinates from the partial differential 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 diffusion of nitric oxide in human vessels and illustrate with simulations in the PRISM tool

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