摘要
本文以Hodgkin-Huxley(HH)为基础,分析外电场对神经细胞的作用机制,建立了极低电场下改进的HH模型.我们通过高维系统Hopf分岔存在性的代数判据,计算了(外部刺激电流)和(外部直流电场引起的跨膜电压)的单参数空间的Hopf分岔集,并给出了系统产生稳定周期解的参数区域,这将有助于从理论上揭示和解释电场致病的生物机理,为预防和治疗此类疾病提供理论依据.
Based on the Hodgkin - Huxley （HH） model, we analyze the mechanism of external DC electric field effect onto neuron, and establish the modified Hodgkin - Huxley model. We calculate the Hopf bifurcation sets of one - parameter space of （ externally applied DC current） and （ induced trans - membrane voltage by external DC electric field ） by employing the generalized algebra criterion of the existence of Hopf bifurcation in high dimensional system, and parameter regions in which the stable periodic solutions of the modified HH model exist are obtained. The researches are of some biological significance and suggest that the aberration of dynamics in bio - systems may account for diseases caused by electric exposure.
出处
《天津理工大学学报》
2009年第5期32-35,共4页
Journal of Tianjin University of Technology
基金
天津市复杂系统控制理论及应用重点实验室资助
