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Stability and bifurcation analysis of Hodgkin-Huxley model

  • School of Computer Science and Technology, Harbin Institute of Technology
  • University of Manchester

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Hodgkin-Huxley(HH) equation is a classical model in electrophysiology and has been studied by many scholars. Applying stability theory, and taking maximal sodium conductance ḡna and potassium conductance ḡk as variables, in this study we analyze the stability and bifurcations of the model. Bifurcations are found when the variables change, and bifurcation points and boundary are calculated. When ḡna is the variable, there is only one bifurcation point and there are two points when ḡk is variable. The (ḡna, ḡk) plane is partitioned into two regions and the upper bifurcation boundary is similar to a line when both ḡna and ḡk are variables. The results gotten could be a help to control relevant diseases caused by maximal conductance anomaly.

Original languageEnglish
Title of host publicationProceedings - 2013 IEEE International Conference on Bioinformatics and Biomedicine, IEEE BIBM 2013
Pages49-54
Number of pages6
DOIs
StatePublished - 2013
Externally publishedYes
Event2013 IEEE International Conference on Bioinformatics and Biomedicine, IEEE BIBM 2013 - Shanghai, China
Duration: 18 Dec 201321 Dec 2013

Publication series

NameProceedings - 2013 IEEE International Conference on Bioinformatics and Biomedicine, IEEE BIBM 2013

Conference

Conference2013 IEEE International Conference on Bioinformatics and Biomedicine, IEEE BIBM 2013
Country/TerritoryChina
CityShanghai
Period18/12/1321/12/13

Keywords

  • Bifurcation
  • Conductance
  • HH
  • Stability

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