THRESHOLD RESULTS FOR THE MCKEAN EQUATION

  • Lee, Eui-Woo (Department of Mathematics Soongsil University)
  • Published : 1995.01.01

Abstract

In 1952, British physiologists Hodgkin and Huxley [4] derived a model that describes the conduction of the nervous impulse in the optical nerve of a squid. The mathematical analysis of the Hodgkin-Huxley equations is technically very difficult, because of the complicated nonlinear functions in the equations. In the early 1960's FitzHugh and Nagumo [2], [9] derived a simpler formulation which retains most of the qualitative features of the original system, and yet is more amenable to analytical manipulations.