Bursting characteristics of a neuron model based on a concept of potential with active areas

Koji Nakajima, Shinya Suenaga

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We present various bursting wave forms that are obtained from a simple model of the Hodgkin-Huxley type. 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 are explained in relation to the disposition of the active areas on the potential. We obtain the potential functions and the active areas for the Hindmarsh-Rose model, the Morris-Lecar system, and the Hodgkin-Huxley system, and hence, we are able to discuss the common properties among these models based on the concept of potential with active areas.

Original languageEnglish
Article number023120
JournalChaos
Volume18
Issue number2
DOIs
Publication statusPublished - 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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