Electrodiffusion model simulation of rectangular current pulses in a voltage-biased biological channel

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

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Numerical methods are presented for simulating stochastic-in-time current pulses for an electrodiffusion model of the biological channel, with a fixed applied voltage across the channel. The electrodiffusion model consists of the parabolic advection-diffusion equation coupled either to Gauss' law or Poisson's equation, depending on the choice of boundary conditions. The TRBDF2 method is employed for the advection-diffusion equation. The rectangular wave shape of previously simulated traveling wave current pulses is preserved by the full set of partial differential equations for electrodiffusion.

Original languageEnglish (US)
Pages (from-to)291-299
Number of pages9
JournalJournal of Theoretical Biology
Volume219
Issue number3
DOIs
StatePublished - Jan 1 2002

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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