Journal article
Far-Field Analysis of Coupled Bulk and Boundary Layer Diffusion Toward an Ion Channel Entrance
Biophysical journal, Vol.74(5), pp.2235-2248
05/1998
Handle:
https://hdl.handle.net/2376/109406
PMCID: PMC1299567
PMID: 9591651
Abstract
We present a far-field analysis of ion diffusion toward a channel embedded in a membrane with a fixed charge density. The Smoluchowski equation, which represents the 3D problem, is approximated by a system of coupled three- and two-dimensional diffusions. The 2D diffusion models the quasi-two-dimensional diffusion of ions in a boundary layer in which the electrical potential interaction with the membrane surface charge is important. The 3D diffusion models ion transport in the bulk region outside the boundary layer. Analytical expressions for concentration and flux are developed that are accurate far from the channel entrance. These provide boundary conditions for a numerical solution of the problem. Our results are used to calculate far-field ion flows corresponding to experiments of Bell and Miller (Biophys. J. 45:279, 1984).
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Details
- Title
- Far-Field Analysis of Coupled Bulk and Boundary Layer Diffusion Toward an Ion Channel Entrance
- Creators
- Mark F SchumakerC.J Kentler
- Publication Details
- Biophysical journal, Vol.74(5), pp.2235-2248
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Elsevier Inc
- Identifiers
- 99900547685701842
- Language
- English
- Resource Type
- Journal article