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 language | English (US) |
|---|---|
| Article number | 31650 |
| Pages (from-to) | 94-108 |
| Number of pages | 15 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 308 |
| DOIs | |
| State | Published - Jul 21 2015 |
Bibliographical note
Publisher Copyright:© 2015 Published by Elsevier B.V.
Keywords
- Cortical spreading depression
- Free energy identity
- Ionic electrodiffusion
- Osmosis
- Tissue physiology
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