Far-Field Analysis of Coupled Bulk and Boundary Layer Diffusion Toward an Ion Channel Entrance
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-dimens...
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| Veröffentlicht in: | Biophysical journal 1998-05, Vol.74 (5), p.2235-2248 |
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| container_title | Biophysical journal |
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| creator | Schumaker, Mark F. Kentler, C.J. |
| description | 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). |
| doi_str_mv | 10.1016/S0006-3495(98)77933-0 |
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| ispartof | Biophysical journal, 1998-05, Vol.74 (5), p.2235-2248 |
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| source | MEDLINE; Cell Press Free Archives; Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; PubMed Central |
| subjects | Biophysics - methods Cell Membrane - physiology Diffusion Ion Channels - physiology Ions Mathematics Models, Biological Solutions Surface Properties |
| title | Far-Field Analysis of Coupled Bulk and Boundary Layer Diffusion Toward an Ion Channel Entrance |
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