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肌肉中的HH模型钠离子通道反电势的Hopf分岔分析 被引量：2

Analysis of Hopf Bifurcation Caused by Sodium Ions Anti-Electromotive in the Hodgkin-Huxley Model in Muscles
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摘要 以肌肉中的Hodgkin-Huxley模型为研究对象,研究病理实验中有显著变化的钠离子通道反电势参数对Hodgkin-Huxley模型的影响并分析其Hopf分岔。采用高维方程的代数判据进行Hodgkin-Huxley模型单参数动态分岔分析,简化了分析过程,并用研究结果解释相应的生理过程,试图从生物系统动态过程异变的角度探讨生理疾病的成因。 This paper took the Hodgkin-Huxley model in muscles as object and studied its dynamical performance as well as Hopf bifurcation phenomenon with the variation of sodium ions anti-electromotive. The algebra criterion in high dimension equations was employed to perform the analysis of single parameter dynamical bifurcation. The results were biological significant and suggested that aberration of dynamics in bio-systems may be accounted for some physiological diseases.
作者 王江 张骅 曾启明
机构地区 天津大学自动化学院 香港理工大学电机工程系
出处 《系统仿真学报》 CAS CSCD 2004年第10期2276-2279,2284,共5页 Journal of System Simulation
基金 国家自然科学基金(50177023)
关键词 HOPF分岔 HH模型 反电势 代数判据 hopf bifurcation hodgkin-huxley model anti-electromotive algebra criterion
分类号 TP391.9 [自动化与计算机技术—计算机应用技术]
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参考文献18

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同被引文献22

  • 1金印彬,杨琳,张虹,阔永红,黄诒焯,蒋大宗.二维心室肌中动作电位传导的数值算法研究[J].西安交通大学学报,2004,38(8):851-854. 被引量：7
  • 2朱明荣,李硕,王惠龄.低温生物技术在神经科学中的应用[J].低温工程,1996(6):38-43. 被引量：2
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  • 7Liu Bingzheng,Bai Dongxue.A Nonlinear Dynamical Model of Ion Channel in Cell Membrane[J].Journal of Molecular Science,1997,13(2):122-125.
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  • 10Barchi R L.Ion channel mutation and diseases of skeletal muscle[J].Neurobiology of Diseases,1997(4):254-264.

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系统仿真学报
2004年 第10期

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