The Phenomenon of Neural Bursting and Spiking in Neurons: Morris-Lecar Model

• 作者: Robert Mugabi Tahmineh Azizi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Morris-Lecar Model NEURAL BURSTING FIRING SPIKE Bifurcation
• 年，卷（期）: yysxyw_2020,（3）
• 页码范围: 203-226
• 页数: 24页
• 分类号: O17

摘要

In this study, we explore the interesting phenomenon of firing spikes and complex dynamics of Morris-Lecar model. We consider a set of parameters such that the model exhibits a wide range of phenomenons. We investigate the influences of injected current and temperature on the spiking dynamics of Morris-Lecar model. Moreover, we study bifurcations, and computational properties of this neuron model. Also, we define a bound (Max and Min voltage) for membrane potential and a certain voltage value or threshold for firing the spikes. Studying the two co-dimension bifurcations demonstrates much more complicated behaviors for this single neuron model. We also describe the phenomenon of neural bursting, and investigate the dynamics of Morris-Lecar model as a square-wave burster, elliptic burster and parabolic burster.