Electrodiffusion model simulation of ionic channels: 1D simulations

Carl Gardner; Wolfgang Nonner; Robert S. Eisenberg

doi:10.1023/B:JCEL.0000029453.09980.fb

Electrodiffusion model simulation of ionic channels: 1D simulations

Carl Gardner, Wolfgang Nonner, Robert S. Eisenberg

CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)

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

37 Scopus citations

Abstract

The drift-diffusion (Poisson-Nernst-Planck) model is applied to ionic channels in biological membranes plus surrounding solution baths. Simulations of the K channel in KCl solutions using the TRBDF2 method are presented which show significant boundary layers at the ends of the channel. The computed current-voltage curve for the K channel shows excellent agreement with experimental measurements.

Original language	English (US)
Pages (from-to)	25-31
Number of pages	7
Journal	Journal of Computational Electronics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1023/B:JCEL.0000029453.09980.fb
State	Published - 2004

Keywords

Biological channels
Diffusion models
Ion transport

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Modeling and Simulation
Electrical and Electronic Engineering

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abstract = "The drift-diffusion (Poisson-Nernst-Planck) model is applied to ionic channels in biological membranes plus surrounding solution baths. Simulations of the K channel in KCl solutions using the TRBDF2 method are presented which show significant boundary layers at the ends of the channel. The computed current-voltage curve for the K channel shows excellent agreement with experimental measurements.",

keywords = "Biological channels, Diffusion models, Ion transport",

author = "Carl Gardner and Wolfgang Nonner and Eisenberg, {Robert S.}",

note = "Funding Information: ∗Research supported in part by DARPA under grant BAA 01-07. †Research supported in part by NIH/NSF under grant R01 GM 67241-01. ‡Research supported in part by DARPA under grant BAA 01-07. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",

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AU - Nonner, Wolfgang

AU - Eisenberg, Robert S.

N1 - Funding Information: ∗Research supported in part by DARPA under grant BAA 01-07. †Research supported in part by NIH/NSF under grant R01 GM 67241-01. ‡Research supported in part by DARPA under grant BAA 01-07. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2004

Y1 - 2004

N2 - The drift-diffusion (Poisson-Nernst-Planck) model is applied to ionic channels in biological membranes plus surrounding solution baths. Simulations of the K channel in KCl solutions using the TRBDF2 method are presented which show significant boundary layers at the ends of the channel. The computed current-voltage curve for the K channel shows excellent agreement with experimental measurements.

AB - The drift-diffusion (Poisson-Nernst-Planck) model is applied to ionic channels in biological membranes plus surrounding solution baths. Simulations of the K channel in KCl solutions using the TRBDF2 method are presented which show significant boundary layers at the ends of the channel. The computed current-voltage curve for the K channel shows excellent agreement with experimental measurements.

KW - Biological channels

KW - Diffusion models

KW - Ion transport

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Electrodiffusion model simulation of ionic channels: 1D simulations

Abstract

Keywords

ASJC Scopus subject areas

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