Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration

Relating PDEs in Cylindrical Coordinates and CTMCs with Levels of Concentration
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DOI：
10.1016/j.entcs.2010.12.005
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发表时间：
2010-12
期刊：
--
影响因子：
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通讯作者：
A. Degasperi;Muffy Calder
A. Degasperi;Muffy Calder
中科院分区：
其他
文献类型：
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作者：
A. Degasperi;Muffy Calder

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本文从菲克定律的偏微分方程出发，推导出圆柱坐标系下具有水平扩散的CTMC模型。由此产生的模型通过离散的水平抽象了摩尔浓度，并通过离散的隔室抽象了空间位置。我们将结果应用于一氧化氮在人体血管中的扩散，并在PRISM工具中进行模拟。
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.