Electrodiffusion Model of Rectangular Current Pulses in Ionic Channels
of Cellular Membranes
By: Carl Gardner, Joseph Jerome, and Robert
Eisenberg
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.
This paper appeared in SIAM Journal Applied Mathematics 61 (2000),
792--802, and can be viewed in the following format: