Bifurcation analysis of a Morris-Lecar neuron model
Bifurcation analysis of a Morris-Lecar neuron model
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DOI：
10.1007/s00422-013-0580-4
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发表时间：
2014-02-01
影响因子：
1.9
通讯作者：
Liu, Shenquan
中科院分区：
文献类型：
--
作者：
Liu, Congmin;Liu, Xuanliang;Liu, Shenquan
本文研究一类Morris-Lecar神经元模型的动力学行为。通过分支方法和数值模拟，我们研究了该模型分支的全局结构。结果总结在各种双参数分岔图与刺激电流作为横坐标和其他参数作为纵坐标。给出了单参数分歧图，并着重讨论了周期解的出现和双稳定性。通过分岔分析和频率-电流曲线得到不同的膜兴奋性。Morris-Lecar神经元的膜特性的改变进行了讨论。
In this paper, we investigate the dynamical behaviors of a Morris-Lecar neuron model. By using bifurcation methods and numerical simulations, we examine the global structure of bifurcations of the model. Results are summarized in various two-parameter bifurcation diagrams with the stimulating current as the abscissa and the other parameter as the ordinate. We also give the one-parameter bifurcation diagrams and pay much attention to the emergence of periodic solutions and bistability. Different membrane excitability is obtained by bifurcation analysis and frequency-current curves. The alteration of the membrane properties of the Morris-Lecar neurons is discussed.