Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

Carl Gardner; Joseph W. Jerome; Robert S. Eisenberg

doi:10.1137/S0036139999351645

Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

Carl Gardner, Joseph W. Jerome, Robert S. Eisenberg

Mathematical and Statistical Sciences, School of (SoMSS)

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

9 Scopus citations

Abstract

A simplified electrodiffusion model for rectangular current pulses in ionic channels of biological membranes is presented. Numerical simulations and a dynamical systems analysis of traveling wave solutions in the model indicate that the durations and separations of current pulses vary stochastically in time, as is observed experimentally. An electrodiffusion theory of the mechanism for gating is advanced.

Original language	English (US)
Pages (from-to)	792-802
Number of pages	11
Journal	SIAM Journal on Applied Mathematics
Volume	61
Issue number	3
DOIs	https://doi.org/10.1137/S0036139999351645
State	Published - 2000

Keywords

Dynamical systems
Electrodiffusion model
Ionic channels

ASJC Scopus subject areas

Applied Mathematics

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10.1137/S0036139999351645

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title = "Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes",

abstract = "A simplified electrodiffusion model for rectangular current pulses in ionic channels of biological membranes is presented. Numerical simulations and a dynamical systems analysis of traveling wave solutions in the model indicate that the durations and separations of current pulses vary stochastically in time, as is observed experimentally. An electrodiffusion theory of the mechanism for gating is advanced.",

keywords = "Dynamical systems, Electrodiffusion model, Ionic channels",

author = "Carl Gardner and Jerome, {Joseph W.} and Eisenberg, {Robert S.}",

year = "2000",

doi = "10.1137/S0036139999351645",

language = "English (US)",

volume = "61",

pages = "792--802",

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publisher = "Society for Industrial and Applied Mathematics Publications",

number = "3",

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T1 - Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

AU - Gardner, Carl

AU - Jerome, Joseph W.

AU - Eisenberg, Robert S.

PY - 2000

Y1 - 2000

N2 - A simplified electrodiffusion model for rectangular current pulses in ionic channels of biological membranes is presented. Numerical simulations and a dynamical systems analysis of traveling wave solutions in the model indicate that the durations and separations of current pulses vary stochastically in time, as is observed experimentally. An electrodiffusion theory of the mechanism for gating is advanced.

AB - A simplified electrodiffusion model for rectangular current pulses in ionic channels of biological membranes is presented. Numerical simulations and a dynamical systems analysis of traveling wave solutions in the model indicate that the durations and separations of current pulses vary stochastically in time, as is observed experimentally. An electrodiffusion theory of the mechanism for gating is advanced.

KW - Dynamical systems

KW - Electrodiffusion model

KW - Ionic channels

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U2 - 10.1137/S0036139999351645

DO - 10.1137/S0036139999351645

M3 - Article

AN - SCOPUS:0034916397

SN - 0036-1399

VL - 61

SP - 792

EP - 802

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 3

ER -

Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

Abstract

Keywords

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