Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration

We present the derivation of a CTMC with levels model of diffusion in cylindrical coordinates 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.

• Type: Journal
• Year: 2010
• Where: ENTCS
• Authors: Andrea Degasperi, Muffy Calder
• Keywords: Discrete Compartments, Discrete Levels, ENTCS 2010, Levels Model, Software Engineering