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: