Channel noise-induced phase transition of spiral wave in networks of Hodgkin-Huxley neurons  

作　　者：MA Jun WU Ying YING HePing JIA Ya 

机构地区：[1]Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China [2]Department of Physics, Huazhong Normal University, Wuhan 430079, China [3]School of Science, Xi'an University of Technology, Xi'an 710048, China [4]Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China

出　　处：《Chinese Science Bulletin》2011年第2期151-157,共7页

基　　金：supported by the National Natural Science Foundation of China(10747005 and 10972179);the Natural Foundation of Lanzhou University of Technology(Q200706)

摘　　要：The phase transition of spiral waves in networks of Hodgkin-Huxley neurons induced by channel noise is investigated in detail.All neurons in the networks are coupled with small-world connections,and the results are compared with the case for regular networks,in which all neurons are completely coupled with nearest-neighbor connections.A statistical variable is defined to study the collective behavior and phase transition of the spiral wave due to the channel noise and topology of the network.The effect of small-world connection networks is described by local regular networks and long-range connection with certain probability p.The numerical results confirm that (1) a stable rotating spiral wave can be developed and maintain robust with low p,where the breakup of the spiral wave and turbulence result from increasing the probability p to a certain threshold;(2) appropriate intensity of the optimized channel noise can develop a spiral wave among turbulent states in small-world connection networks of H-H neurons;and (3) regular connection networks are more robust to channel noise than small-world connection networks.A spiral wave in a small-world network encounters instability more easily as the membrane temperature is increased to a certain high threshold.The phase transition of spiral waves in networks of Hodgkin-Huxley neurons induced by channel noise is investigated in detail. All neurons in the networks are coupled with small-world connections, and the results are compared with the case for regular networks, in which all neurons are completely coupled with nearest-neighbor connections. A statistical variable is defined to study the collective behavior and phase transition of the spiral wave due to the channel noise and topology of the network. The effect of small-world connection networks is described by local regular networks and long-range connection with certain probability p. The numerical results confirm that （1） a stable rotating spiral wave can be developed and maintain robust with low p, where the breakup of the spiral wave and turbulence result from increasing the probability p to a certain threshold; （2） appropriate intensity of the optimized channel noise can develop a spiral wave among turbulent states in small-world connection networks of H-H neurons; and （3） regular connection networks are more robust to channel noise than small-world connection networks. A spiral wave in a small-world network encounters instability more easily as the membrane temperature is increased to a certain high threshold.

关 键 词：神经元网络 信道噪声 螺旋波 赫胥黎 小世界网络 连接网络 金 耦合连接 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TN915.62[自动化与计算机技术—控制科学与工程]