TY - JOUR
T1 - Electrodiffusion model simulation of rectangular current pulses in a voltage-biased biological channel
AU - Gardner, Carl
AU - Jerome, Joseph W.
AU - Eisenberg, Robert S.
N1 - Funding Information:
*Corresponding author. Tel.: +1-480-965-0226; fax: +1-480-965-0461. E-mail addresses: [email protected] (C. L. Gardner), [email protected] (J. W. Jerome), [email protected] (R. S. Eisenberg). z Research supported in part by the National Science Foundation under Grant DMS-9706792 and by DARPA under Grant N65236-98-1-5409. 8 Research supported in part by the National Science Foundation under Grant DMS-9704458. ** Research supported in part by DARPA under Grant N65236-98-1-5409.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0036430130
UR - https://www.scopus.com/pages/publications/0036430130#tab=citedBy
U2 - 10.1006/jtbi.2002.3123
DO - 10.1006/jtbi.2002.3123
M3 - Article
C2 - 12419658
AN - SCOPUS:0036430130
SN - 0022-5193
VL - 219
SP - 291
EP - 299
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 3
ER -