Multi-parameter Hopf-bifurcation in Hodgkin-Huxley model exposed to ELF external electric field

Wang Jiang, Che Yanqiu, Fei Xiangyang, Li Li

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Abstract

The interference between external electric exposure and biological objects is discussed. Based on results of space-time characteristics of trans-membrane voltage, the variation of cell trans-membrane voltage exposed to extremely low frequency (ELF) electric field is analyzed; a modified Hodgkin-Huxley (HH) model is established by introducing a new parameter denoting the effect of external electric field, and the bifurcation caused by the new parameter as well as leakage conductance and sodium ions anti-electromotive force is studied. The algebra criterion in high dimension equations is employed to perform the analysis of multi-parameter dynamical bifurcation. The results are of biological significance and suggest that the aberration of dynamics in bio-systems may account for diseases caused by electric exposure.

Original languageEnglish (US)
Pages (from-to)1221-1229
Number of pages9
JournalChaos, Solitons and Fractals
Volume26
Issue number4
DOIs
Publication statusPublished - Nov 1 2005

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All Science Journal Classification (ASJC) codes

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

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