单向耦合神经元网络中螺旋波的自发形成机制

doi:10.19596/j.cnki.1001-246x.8134

计算物理 ›› 2020, Vol. 37 ›› Issue (5): 612-622.DOI: 10.19596/j.cnki.1001-246x.8134

单向耦合神经元网络中螺旋波的自发形成机制

黄志精, 白婧, 唐国宁

广西师范大学物理科学与技术学院, 广西桂林 541004

收稿日期:2019-09-09 修回日期:2019-12-24 出版日期:2020-09-25 发布日期:2020-09-25
通讯作者: 唐国宁,E-mail:tangguoning@sohu.com
作者简介:黄志精(1993-),男,广西来宾,硕士研究生,主要研究神经网络中螺旋波自发产生的机制,E-mail:986830381@qq.com
基金资助:
国家自然科学基金（11565005，11847317）资助项目

Mechanism of Spontaneous Formation of Spiral Wave in Neuronal Network with Unidirectional Coupling

HUANG Zhijing, BAI Jing, TANG Guoning

College of Physical Science and Technology, Guangxi Normal University, Guilin, Guangxi 541004, China

Received:2019-09-09 Revised:2019-12-24 Online:2020-09-25 Published:2020-09-25

摘要/Abstract

摘要： 构造一个具有单向耦合的二维神经元网络，引入信息传输熵来描述定向信息传输，采用Hindmarsh-Rose神经元模型研究网络中螺旋波等有序波自发产生的机制.数值模拟表明：适当选取耦合的强度和单向耦合的距离，网络可自发出现螺旋波、行波、靶波和平面波.各种有序波的产生与网络中出现信息间歇定向传输有关，网络出现单或多螺旋波时发生熵共振现象.噪声、抑制性耦合和排斥性耦合诱发螺旋波时网络中也存在信息间歇定向传输.首次发现自维持长平面波，其存在是由于网络存在持续的强信息定向传输.

关键词: Hindmarsh-Rose神经元, 单向耦合, 螺旋波, 信息传输熵

Abstract: A two-dimensional neuronal network with unidirectional coupling is constructed, and information transmission entropy is introduced to describe the directed information transmission. Hindmarsh-Rose neuron model is used to study mechanism of spontaneous generation of ordered waves such as spiral waves in the network. Numerical simulation shows that the network can appear spontaneously spiral wave, traveling wave, target wave and plane wave with appropriately selected strength of coupling and distance of unidirectional coupling. It is found that generation of various ordered waves is related to intermittently directed information transmission in the network. Entropy resonance occurs as single or multiple spiral waves appear in the network. Intermittently directed information transmission is also observed in the network with noise, inhibitory coupling and repulsive coupling when spiral wave and multiple spiral waves are spontaneously appeared. Self-sustaining long plane waves are observed for the first time. It is due to persistent strong directed information transmission in the network.

Key words: Hindmarsh-Rose neuron, unidirectional coupling, spiral wave, information transmission entropy

中图分类号:

O415.6

黄志精, 白婧, 唐国宁. 单向耦合神经元网络中螺旋波的自发形成机制[J]. 计算物理, 2020, 37(5): 612-622.

HUANG Zhijing, BAI Jing, TANG Guoning. Mechanism of Spontaneous Formation of Spiral Wave in Neuronal Network with Unidirectional Coupling[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(5): 612-622.

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单向耦合神经元网络中螺旋波的自发形成机制

Mechanism of Spontaneous Formation of Spiral Wave in Neuronal Network with Unidirectional Coupling

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