A Free Boundary Arising from McKean's Model for Nerve Conduction.

Abstract

A model for the conduction of electrical impulses in a nerve axon is considered. In an earlier paper the author demonstrated that the model exhibits a threshold phenomenon. This corresponds to the biological fact that a minimum stimulus is required to trigger a nerve impulse. In this paper a more detailed description of the asymptotic behavior of the solution of the equations is given. It is proven that, in some sense, the solution eventually propagates with constant velocity.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA130496

Entities

People

  • David Terman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Classification
  • Computations
  • Differential Equations
  • Diffusion
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Nerve Impulses
  • Nonlinear Differential Equations
  • North Carolina
  • Sequences
  • Traveling Waves
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Neuroscience