Bifurcations in Morris-Lecar neuron model
Bifurcations in Morris-Lecar neuron model
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DOI：
10.1016/j.neucom.2005.03.006
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发表时间：
2006-01-01
期刊：
影响因子：
6
通讯作者：
Kawakami, H
中科院分区：
文献类型：
--
作者：
Tsumoto, K;Kitajima, H;Kawakami, H
Morris-Lecar（M-L）方程是一种重要的神经元模型，当系统参数适当设置时，它表现出I类和II类兴奋性。虽然许多文献已经阐明了模型的特征行为，但从分歧分析的角度来看，两类之间的详细过渡并不清楚。在本文中，我们研究了五维参数空间中不变集的分叉，并确定了所有的基本参数的半激活电位的钾激活曲线，有助于改变膜的性质的M-L神经元。我们还表明，膜的性能可以通过改变单个参数的值进行控制。(c)2005 Elsevier B. V.保留所有权利。
The Morris-Lecar (M-L) equations tire an important neuron model that exhibits classes I and II excitabilities when system parameters are set appropriately. Although many papers have clarified characteristic behaviors of the model, the detailed transition between two classes is unclear from the viewpoint of bifurcation analyses. In this paper, we investigate bifurcations of invariant sets in a five-dimensional parameter space, and identify all essential parameter of the half-activated potential of the potassium activation curve that contributes to the alternation of the membrane properties of the M-L neuron. We also show that the membrane property can be controlled by varying the value of the single parameter. (c) 2005 Elsevier B.V. All rights reserved.