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

作者：Mori Yoichiro^*

来源：Physica D: Nonlinear Phenomena , 2015, 308: 94-108.

DOI：10.1016/j.physd.2015.06.008

• Ionic electrodiffusion
• Osmosis
• Tissue physiology
• Free energy identity
• Cortical spreading depression

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.

• 出版日期2015-7-15