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Ionic electrodiffusion and osmotic water flow are central processes in manyphysiological systems. We formulate a system of partial differential equationsthat governs ion movement and water flow in biological tissue. A salientfeature of this model is that it satisfies a free energy identity, ensuring thethermodynamic consistency of the model. A numerical scheme is developed for themodel in one spatial dimension and is applied to a model of cortical spreadingdepression, a propagating breakdown of ionic and cell volume homeostasis in thebrain.

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