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

6 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
General Mathematics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1016/j.chaos.2005.04.024

Cite this

@article{6b8eeb0db11b41f2998dbcbd51d6293b,

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.",

year = "2006",

month = jan,

doi = "10.1016/j.chaos.2005.04.024",

language = "English (US)",

volume = "27",

pages = "427--436",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "2",

}

TY - JOUR

T1 - Analysis of Hopf bifurcation caused by leakage conductance gl in the Hodgkin-Huxley model in muscles

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.

UR - https://www.scopus.com/pages/publications/22844452422

UR - https://www.scopus.com/pages/publications/22844452422#tab=citedBy

U2 - 10.1016/j.chaos.2005.04.024

DO - 10.1016/j.chaos.2005.04.024

M3 - Article

AN - SCOPUS:22844452422

SN - 0960-0779

VL - 27

SP - 427

EP - 436

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this