A model of electrodiffusion and osmotic water flow and its energetic structure

Yoichiro Mori; Chun Liu; Robert S. Eisenberg

doi:10.1016/j.physd.2011.08.010

A model of electrodiffusion and osmotic water flow and its energetic structure

Yoichiro Mori, Chun Liu, Robert S. Eisenberg

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We introduce a model for ionic electrodiffusion and osmotic water flow through cells and tissues. The model consists of a system of partial differential equations for ionic concentration and fluid flow with interface conditions at deforming membrane boundaries. The model satisfies a natural energy equality, in which the sum of the entropic, elastic and electrostatic free energies is dissipated through viscous, electrodiffusive and osmotic flows. We discuss limiting models when certain dimensionless parameters are small. Finally, we develop a numerical scheme for the one-dimensional case and present some simple applications of our model to cell volume control.

Original language	English (US)
Pages (from-to)	1835-1852
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	240
Issue number	22
DOIs	https://doi.org/10.1016/j.physd.2011.08.010
State	Published - Nov 1 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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AB - We introduce a model for ionic electrodiffusion and osmotic water flow through cells and tissues. The model consists of a system of partial differential equations for ionic concentration and fluid flow with interface conditions at deforming membrane boundaries. The model satisfies a natural energy equality, in which the sum of the entropic, elastic and electrostatic free energies is dissipated through viscous, electrodiffusive and osmotic flows. We discuss limiting models when certain dimensionless parameters are small. Finally, we develop a numerical scheme for the one-dimensional case and present some simple applications of our model to cell volume control.

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