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. Key words. electrodiffusion model, ionic channels, dynamical systems AMS subject classifications. 76Z99, 92C05 PII. S0036139999351645
Carl L. Gardner, Joseph W. Jerome, Robert S. Eisen