A Multidomain Model for Ionic Electrodiffusion and Osmosis with an   Application to 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. 
Yoichiro Mori
q-bio.TO cond-mat.soft physics.bio-ph