期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 240, 期 22, 页码 1835-1852出版社
ELSEVIER
DOI: 10.1016/j.physd.2011.08.010
关键词
Electrodiffusion; Osmosis; Electrophysiology; Energetic structure
资金
- National Science Foundation (NSF) [DMS-0914963, DMS-0707594]
- Alfred P. Sloan Foundation
- McKnight Foundation
- National Institutes of Health [GM076013]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0914963] Funding Source: National Science Foundation
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. (C) 2011 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据