On a response characteristics in the Hodgkin-Huxley model of nerve and muscle fiber to a periodic stimulation

Fumihiro F. Shoji, Hee Hyol Lee

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

8 Citations (Scopus)

Abstract

For nerve axon the Hodgkin-Huxley equations, H-H equations or H-H model for short, shows the chaotic response under the periodic electric stimulous. For muscle fiber, Falk and Fatt formulated the Falk-Fatt equations (the F-F equations or F-F model) which are nonlinear equations similar to those of Hodgkin and Huxley. However, the response characteristics of the F-F model has not bee studied in detail. In the present study, several aspects of the H-H model and the F-F model is studied. The H-H model and F-F model are solved with a periodic stimulation (Acosωt, ω=2πf). The chaotic responses are observed under a special condition on an amplitude and frequency. The production procedure of a chaotic response is investigated. In order to investigate the general characteristics of the H-H model and F-F model, an average firing rate is computed and phase variables are drawn in phase plane. Finally, the relationship between the F-F model and the H-H model is considered. For the same periodic stimulation, the F-F model shows the chaotic response and the H-H model shows the n/m phase-locked oscillation or vice versa.

Original languageEnglish
Title of host publicationIECON Proceedings (Industrial Electronics Conference)
PublisherIEEE Computer Society
Pages2035-2041
Number of pages7
DOIs
Publication statusPublished - 2000
Externally publishedYes

Publication series

NameIECON Proceedings (Industrial Electronics Conference)
Volume1

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Shoji, F. F., & Lee, H. H. (2000). On a response characteristics in the Hodgkin-Huxley model of nerve and muscle fiber to a periodic stimulation. In IECON Proceedings (Industrial Electronics Conference) (pp. 2035-2041). [972589] (IECON Proceedings (Industrial Electronics Conference); Vol. 1). IEEE Computer Society. https://doi.org/10.1109/IECON.2000.972589