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

Jiang Wang; Hua Zhang; Yan Qiu Che

doi:10.1016/j.chaos.2005.04.024

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

Jiang Wang, Hua Zhang, Yan Qiu Che

Department of Neurosurgery

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	427-436
Number of pages	10
Journal	Chaos, Solitons and Fractals
Volume	27
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2005.04.024
State	Published - Jan 2006

All Science Journal Classification (ASJC) codes

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

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10.1016/j.chaos.2005.04.024

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title = "Analysis of Hopf bifurcation caused by leakage conductance gl in the Hodgkin-Huxley model in muscles",

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 gl. 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.",

author = "Jiang Wang and Hua Zhang and Che, {Yan Qiu}",

note = "Funding Information: The authors gratefully acknowledge the support of the Natural Science Foundation of China under Grant No. 50177023.",

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AU - Wang, Jiang

AU - Zhang, Hua

AU - Che, Yan Qiu

N1 - Funding Information: The authors gratefully acknowledge the support of the Natural Science Foundation of China under Grant No. 50177023.

PY - 2006/1

Y1 - 2006/1

N2 - 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 gl. 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.

AB - 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 gl. 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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ER -

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

Abstract

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