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

Wang Jiang, Che Yanqiu, Fei Xiangyang and Li Li

Chaos, Solitons & Fractals, 2005, vol. 26, issue 4, 1221-1229

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.

Date: 2005
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:4:p:1221-1229

DOI: 10.1016/j.chaos.2005.02.042

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