title: Electrodiffusion model simulation of rectangular current pulses in a voltage-biased biological channel.
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.
authors.affiliation: Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA. gardner@asu.edu
authors.forename: Carl L
authors.initials: CL
authors.lastname: Gardner
authors.forename: Joseph W
authors.initials: JW
authors.lastname: Jerome
authors.forename: Robert S
authors.initials: RS
authors.lastname: Eisenberg
mesh_terms: D000818:Animals; D004058:Diffusion; D004594:Electrophysiology; D007473:Ion Channels / Q000502:physiology*; D008564:Membrane Potentials; D008954:Models, Biological
chemical_list: D007473:Ion Channels