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

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)792-802
Number of pages11
JournalSIAM Journal on Applied Mathematics
Volume61
Issue number3
StatePublished - 2000

Fingerprint

Membrane
Membranes
Biological membranes
Systems Analysis
Traveling Wave Solutions
Dynamical systems
Dynamical system
Systems analysis
Vary
Numerical Simulation
Computer simulation
Model

Keywords

  • Dynamical systems
  • Electrodiffusion model
  • Ionic channels

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes. / Gardner, Carl; Jerome, Joseph W.; Eisenberg, Robert S.

In: SIAM Journal on Applied Mathematics, Vol. 61, No. 3, 2000, p. 792-802.

Research output: Contribution to journalArticle

@article{f7c14a1003d8470b8dfaabcc56e56107,
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",
language = "English (US)",
volume = "61",
pages = "792--802",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "3",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=0034916397&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034916397&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034916397

VL - 61

SP - 792

EP - 802

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 3

ER -