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Electrodiffusion Model Simulation of Rectangular Current Pulses in a Voltage-Biased Biological Channel

✍ Scribed by CARL L. GARDNER; JOSEPH W. JEROME; ROBERT S. EISENBERG


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
206 KB
Volume
219
Category
Article
ISSN
0022-5193

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✦ Synopsis


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.