| 肌肉中的HH模型钠离子通道反电势的Hopf分岔分析 |
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| 引用本文： | 王江,张骅,曾启明.肌肉中的HH模型钠离子通道反电势的Hopf分岔分析[J].系统仿真学报,2004,16(10):2276-2279,2284. |
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| 作者姓名： | 王江 张骅 曾启明 |
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| 作者单位： | 1. 天津大学自动化学院,天津,300072
2. 香港理工大学电机工程系,香港九龙 |
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| 基金项目： | 国家自然科学基金(50177023) |
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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。
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| 关 键 词： | Hopf分岔 HH模型 反电势 代数判据 |
| 文章编号： | 1004-731X(2004)10-2276-04 |
Analysis of Hopf Bifurcation Caused by Sodium Ions Anti-Electromotive in the Hodgkin-Huxley Model in Muscles |
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| WANG Jiang,ZHANG Hua,Tsang K. M..Analysis of Hopf Bifurcation Caused by Sodium Ions Anti-Electromotive in the Hodgkin-Huxley Model in Muscles[J].Journal of System Simulation,2004,16(10):2276-2279,2284. |
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| Authors: | WANG Jiang ZHANG Hua Tsang K M |
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| Institution: | WANG Jiang1,ZHANG Hua1,Tsang K. M.2 |
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| Abstract: | 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. |
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| Keywords: | hopf bifurcation hodgkin-huxley model anti-electromotive algebra criterion |
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