分段线性脉冲神经元模型的动力学特性分析  

Dynamical Properties of Piecewise Linear Spiking Neuron Model

作　　者：蔺想红[1,2] 张田文[1] 

机构地区：[1]哈尔滨工业大学计算机科学与技术学院,黑龙江哈尔滨150001 [2]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《电子学报》2009年第6期1270-1276,共7页Acta Electronica Sinica

基　　金：国家自然科学基金(No.60875013)

摘　　要：结合Hodgkin-Huxley神经元模型的动力学特性与Integrate-and-Fire神经元模型的解析特性,提出了一种新的二维分段线性脉冲神经元模型.该模型的优点在于既可通过分叉理论对兴奋性系统进行定性描述,又可通过状态变量的解析式对神经元行为进行定量分析.通过详细的分析,发现该模型具有许多一维Integrate-and-Fire神经元模型所不具有的新的神经计算特性.在实验中,应用该模型模拟了大部分已知皮层神经元的脉冲和簇放电行为.We propose a two-dimensional piecewise linear spiking neuron model that combines the dynamical property of Hodgkin-Huxley neuron model and the analytical property of integrate-and-fire neuron model. We show that this framework allows a qualitative description of excitable systems through bifurcation theory but also a quantitative analysis of neuronal behavior through an explicit analytical representation of the state variables. A detailed analytical study of the model is presented. The model gives rise to new neuro-computational properties not present in one-dimensional integrate-and-fire neuron models. In experiments, using this model we simulated the spiking and bursting behavior of known types of cortical neurons.

关 键 词：分段线性动力系统 Integrate-and-Fire神经元 分叉分析 簇放电 皮层神经元 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]