Bifurcation analysis of the hodgkin-huxley model exposed to external DC electric field

Hui Yan Li, Yanqiu Che, Han Qiao Gao, Feng Dong, Jiang Wang

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

3 Scopus citations

Abstract

Based on the modified Hodgkin-Huxley (HH) model exposed to extremely low frequency (ELF) electric field, we study Hopf and saddle-node bifurcations of the modified HH model in two dimensional parameter space of externally applied DC current and trans-membrane voltage induced by external DC electric field. The bifurcation sets are calculated by employing the generalized algebra criterion in high dimensional system. The obtained bifurcation sets partition the two dimensional parameter space in terms of the qualitatively different behaviors of the HH model. Thus the neuron's information encodes the stimulus information, and vice versa, which is significant in neuron control. The study is of some biological significance and suggest that the aberration of dynamics in biosystems may account for diseases caused by electric exposure.

Original languageEnglish (US)
Title of host publication22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control
Pages271-276
Number of pages6
DOIs
Publication statusPublished - Mar 31 2008
Event2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007 - Singapore, Singapore
Duration: Oct 1 2007Oct 3 2007

Publication series

Name22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control

Other

Other2007 IEEE 22nd International Symposium on Intelligent Control, ISIC 2007
CountrySingapore
CitySingapore
Period10/1/0710/3/07

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All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Modeling and Simulation

Cite this

Li, H. Y., Che, Y., Gao, H. Q., Dong, F., & Wang, J. (2008). Bifurcation analysis of the hodgkin-huxley model exposed to external DC electric field. In 22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control (pp. 271-276). [4450897] (22nd IEEE International Symposium on Intelligent Control, ISIC 2007. Part of IEEE Multi-conference on Systems and Control). https://doi.org/10.1109/ISIC.2007.4450897