Impact of Chloride Channel on Spiking Patterns of Morris-Lecar Model  

作　　者：Tahmineh Azizi Bacim Alali Tahmineh Azizi;Bacim Alali(Department of Mathematics, Kansas State University, Manhattan, KS, USA)

机构地区：[1]Department of Mathematics, Kansas State University, Manhattan, KS, USA

出　　处：《Applied Mathematics》2020年第7期650-669,共20页应用数学（英文）

摘　　要：In this paper,we study the complicated dynamics of general Morris-Lecar model with the impact of Cl^- fluctuations on firing patterns of this neuron model. After adding Cl^- channel in the original Morris-Lecar model, the dynamics of the original model such as its bifurcations of equilibrium points would be changed and they occurred at different values compared to the primary model. We discover these qualitative changes in the point of dynamical systems and neuroscience. We will conduct the co-dimension two bifurcations analysis with respect to different control parameters to explore the complicated behaviors for this new neuron model.In this paper,we study the complicated dynamics of general Morris-Lecar model with the impact of Cl^- fluctuations on firing patterns of this neuron model. After adding Cl^- channel in the original Morris-Lecar model, the dynamics of the original model such as its bifurcations of equilibrium points would be changed and they occurred at different values compared to the primary model. We discover these qualitative changes in the point of dynamical systems and neuroscience. We will conduct the co-dimension two bifurcations analysis with respect to different control parameters to explore the complicated behaviors for this new neuron model.

关 键 词：Chloride Channel Supercritical Hopf Bifurcation Subcritical Hopf Bifurcation Firing Spike Co-Dimension Two Bifurcations 

分 类 号：O17[理学—数学]