A Multidomain Model for Ionic Electrodiffusion and Osmosis with an Application to Cortical Spreading Depression

Yoichiro Mori

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arXiv · 1410.8391

A Multidomain Model for Ionic Electrodiffusion and Osmosis with an Application to Cortical Spreading Depression

Yoichiro Mori

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Abstract

Ionic electrodiffusion and osmotic water flow are central processes in many physiological systems. We formulate a system of partial differential equations that governs ion movement and water flow in biological tissue. A salient feature of this model is that it satisfies a free energy identity, ensuring the thermodynamic consistency of the model. A numerical scheme is developed for the model in one spatial dimension and is applied to a model of cortical spreading depression, a propagating breakdown of ionic and cell volume homeostasis in the brain.

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Yoichiro Mori. 2014-10-30. A Multidomain Model for Ionic Electrodiffusion and Osmosis with an Application to Cortical Spreading Depression. https://arxiv.org/abs/1410.8391

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