Some FitzHugh-Nagumo Type Equations

Erik S. Van Vleck
Department of Mathematics
University of Kansas

evanvleck@math.ukans.edu
www.math.ukans.edu/~evanvleck

Abstract

We consider traveling pulse and front solutions for FitzHugh-Nagumo
type equations, a reduced version of the Hodgkin-Huxley equations with
diffusion that model the ionic conductances generating the action potential 
in nerve fibers. Differences from the standard model include the use of a 
discrete diffusive term to model action potentials in myelinated nerve 
fibers and a nonlinear term that allows for turning point behavior.

This talk represents joint work with Chris Elmer (New Jersey Inst. Tech.)
and Weishi Liu (Univ. of Kansas).