Neural Signal Tuned by Random Long-range Connections in Coupled FitzHugh-Nagumo Neurons Systems  

作　　者：张季谦 侯中怀 辛厚文 

机构地区：[1]College of Physics and Electronic Information, Anhui Normal University, Wuhu234100 [2]Department of Chemical Physics, University of Science and Technology of China, Hefei 230026

出　　处：《Chinese Physics Letters》2006年第9期2364-2367,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 20203017 and 20433050, and the Anhui Province Key Subject Foundation for Atomic and Molecular Physics （2002ZDXK）

摘　　要：We investigate the effect of random long-range connections on signal propagation in an array of coupled FitzHugh- Nagumo （FHN） neurons. The neural network can be obtained by randomly adding a small fraction of shortcuts in an originally locally coupled one-dimensional chain. It is shown that when the first neuron is subjected to external stimuli, it fires and excites its connected neighbours, such that the neural signal may propagate along the chain favoured by the shortcuts. Moreover, there exists an optimal number of shortcuts which can lead to the most synchronous behaviour. In addition, how the region of the fraction of shortcuts varies with the coupling strength is also discussed. These results suggest that topological disorder in the neural network may play a vital role in helping information processing in living systems.We investigate the effect of random long-range connections on signal propagation in an array of coupled FitzHugh- Nagumo （FHN） neurons. The neural network can be obtained by randomly adding a small fraction of shortcuts in an originally locally coupled one-dimensional chain. It is shown that when the first neuron is subjected to external stimuli, it fires and excites its connected neighbours, such that the neural signal may propagate along the chain favoured by the shortcuts. Moreover, there exists an optimal number of shortcuts which can lead to the most synchronous behaviour. In addition, how the region of the fraction of shortcuts varies with the coupling strength is also discussed. These results suggest that topological disorder in the neural network may play a vital role in helping information processing in living systems.

关 键 词：SMALL-WORLD NETWORKS COHERENCE RESONANCE STOCHASTIC RESONANCE MODELS NOISE DYNAMICS ARRAY 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]