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

被引：17
|
作者：
Jiang, W [1 ]
Che, YQ [1 ]
Fei, XY [1 ]
Li, L [1 ]
机构：
[1] Tianjin Univ, Sch Elect & Automat Engn, Tianjin 300072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 26卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2005.02.042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1221 / 1229
页数：9
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