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.
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