Analysis of Hopf bifurcation caused by leakage conductance g l in the Hodgkin-Huxley model in muscles

Jiang Wang, Hua Zhang, Yanqiu Che

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper took the Hodgkin-Huxley model in muscles as object and studied its dynamical performance as well as Hopf bifurcation phenomenon with the variation of leakage conductance g l . The algebra criterion in high-dimension equations was employed to perform the analysis of single parameter dynamical bifurcation. The results were biologically significant and suggested that the aberration of dynamics in bio-systems should account for some physiological diseases.

Original languageEnglish (US)
Pages (from-to)427-436
Number of pages10
JournalChaos, Solitons and Fractals
Volume27
Issue number2
DOIs
StatePublished - Jan 1 2006

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Conductance
Aberration
Leakage
Muscle
Hopf Bifurcation
Higher Dimensions
Bifurcation
Algebra
Model
Object

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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abstract = "This paper took the Hodgkin-Huxley model in muscles as object and studied its dynamical performance as well as Hopf bifurcation phenomenon with the variation of leakage conductance g l . The algebra criterion in high-dimension equations was employed to perform the analysis of single parameter dynamical bifurcation. The results were biologically significant and suggested that the aberration of dynamics in bio-systems should account for some physiological diseases.",
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Analysis of Hopf bifurcation caused by leakage conductance g l in the Hodgkin-Huxley model in muscles . / Wang, Jiang; Zhang, Hua; Che, Yanqiu.

In: Chaos, Solitons and Fractals, Vol. 27, No. 2, 01.01.2006, p. 427-436.

Research output: Contribution to journalArticle

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