Dynamic characteristics of neuron models and active areas in potential functions

K. Nakajima, K. Kurose, S. Sato, Y. Hayakawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a simple neuron model that shows a rich property in spite of the simple structure derived from a simplification of the Hindmarsh-Rose, the Morris-Lecar, and the Hodgkin-Huxley models. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics is explained in connection with the disposition of the active areas on the potential, and hence we are able to discuss the global dynamic behaviors and the common properties among these realistic models.

Original languageEnglish
Title of host publicationProcedia IUTAM
Pages49-53
Number of pages5
Volume5
DOIs
Publication statusPublished - 2012
EventIUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan
Duration: 2011 Nov 282011 Dec 2

Other

OtherIUTAM Symposium on 50 Years of Chaos: Applied and Theoretical
CountryJapan
CityKyoto
Period11/11/2811/12/2

Keywords

  • Active area
  • Burst
  • Chaos
  • Neuron model
  • Phase diagram
  • Potential
  • Spike

ASJC Scopus subject areas

  • Mechanical Engineering

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