A multidomain model for ionic electrodiffusion and osmosis with an application to cortical spreading depression

PHYSICA D-NONLINEAR PHENOMENA

卷:308

Article

Mori, Yoichiro

关键词: Ionic electrodiffusion;    Osmosis;    Tissue physiology;    Free energy identity;    Cortical spreading depression;   

DOI  :  10.1016/j.physd.2015.06.008

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free