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

页码：1221 / 1229

页数：9

共 26 条

[21] Phase-locking and chaos in a silent Hodgkin-Huxley neuron exposed to sinusoidal electric field
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[22] APPLICATION OF THE HODGKIN-HUXLEY EQUATIONS TO AN ELECTRIC-FIELD MODEL FOR INTERACTION BETWEEN EXCITABLE CELLS
RUFFNER, JA
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[24] Simple model to incorporate statistical noise based on a modified hodgkin-huxley approach for external electrical field driven neural responses
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[25] Hodgkin-Huxley Model-Based Analysis of Electric-Field Effect on Nerve Cell Using Self-Organizing Map
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[26] ALTERATION IN SODIUM-CHANNEL GATE KINETICS OF THE HODGKIN-HUXLEY EQUATIONS APPLIED TO AN ELECTRIC-FIELD MODEL FOR INTERACTION BETWEEN EXCITABLE CELLS
MANN, JE
SPERELAKIS, N
RUFFNER, JA
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1981, 28 (09) : 655 - 661

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