Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 1
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- Pages.251-259
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
THRESHOLD RESULTS FOR THE MCKEAN EQUATION
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.