%0 Journal Article
%T Channel noise-induced phase transition of spiral wave in networks of Hodgkin-Huxley neurons<br>
%A MA Jun
%A WU Ying
%A YING HePing
%A JIA Ya
%A <br>
%J 科学通报(英文版)
%D 2011
%I 
%X 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.
%K breakup
%K channel noise
%K factor of synchronization
%K probability of long-range connection<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=08CF8B78FAFAC8A9173D6FB99D848CB6&yid=9377ED8094509821&vid=014B591DF029732F&iid=0B39A22176CE99FB&sid=70AC2EF7F2065E09&eid=0B4F496D54044D86&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=36