| | | | | | |
  当前位置:首页 > 神经计算原理 

Bifurcations in Morris–Lecar neuron model
作者:数学建模与神经计算 发布日期:2019-2-28
 点击:1144
关键词:Morris–Lecar model, Classes I and II neuron, Saddle-node bifurcation,Homoclinic bifurcation

Bifurcations in Morris–Lecar neuron model

Kunichika Tsumoto,Hiroyuki Kitajima,

Tetsuya Yoshinaga,Kazuyuki Aihara,Hiroshi Kawakami


Abstract

    The Morris–Lecar (M–L) equations are 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 an 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.


Bifurcations in Morris–Lecar neuron model.pdf

收 藏 推 荐 打 印 关 闭
上一篇:Morris-Lecar神经模型的随机动力学 下一篇:Canard Theory and Excitability
   关于我们
s
s
   推荐产品
   图片文章
   最新资讯
神经动力学中的庞加莱回归图:三个例子
动力系统快-慢分解的自然扩展
局部分离的稳定流形与簇周期轨道之间的相...
弱耦合鸭解振荡器的同步
Leonid Shilnikov 和动力学混沌的数学理论
多时间尺度系统和快-慢分析
 
友情链接: 神经计算   国家自然科学基   华南理工大学   全国大学生数学   美国数学建模竞   MATLAB  
咨询热线:刘教授 13650823684 邮箱:liushenat@sohu.com 备案编号:豫ICP备18005949号
地址:广州市番禺区广州大学城 邮编:510006  技术支持:郑州建网站 本站域名:mashqliu.com
Copyright © 2018-2024 数学建模与神经计算 Inc, All Rights Reserved.
在线客服
刘教授 13650823684
客服代表
点击这里给我发消息