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

Yoichiro Mori

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number31650
Pages (from-to)94-108
Number of pages15
JournalPhysica D: Nonlinear Phenomena
Volume308
DOIs
StatePublished - Jul 21 2015

Keywords

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

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