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极低频电场下HHM模型的多参数Hopf分岔分析

Multi-parameter Hopf-bifurcation in Hodgkin-Huxley Model Exposed to ELF External Electric Field

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【作者】 车艳秋王江李立

【Author】 Che Yanqiu, Wang Jiang, Li Li (School of Electrical and Automation Eng., Tianjin University, Tianjin 300072)

【机构】 天津大学电气与自动化工程学院

【摘要】 基于跨膜电压的时空特性分析了极低频电场下细胞跨膜电压的变化规律:建立了引入外电场参数的改进的肌肉中Hodgken-Huxley(HHM)模型。采用高维方程的代数判据方法,研究了该改进模型下以漏电导、钠离子反电动势及电场扰动为参数的多参数Hopf分岔,分析方法简便。研究结果解释了相应的生理过程,并试图从生物系统动态过程异变的角度探讨外加极低频电场下生理疾病的成因。

【Abstract】 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 suggested that the aberration of dynamics in bio-systems may be accounted for diseases caused by electric exposure.

  • 【会议录名称】 第二十四届中国控制会议论文集(下册)
  • 【会议名称】第二十四届中国控制会议
  • 【会议时间】2005-07
  • 【会议地点】中国广州
  • 【分类号】TM159
  • 【主办单位】中国自动化学会控制理论专业委员会
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