SPIRAL WAVE IN NETWORKS OF HODGKIN - HUXLEY NEURONS: CHANNEL NOISE - INDUCED PHASE TRANSITION

The phase transition of spiral waves in networks of Hodgkin - Huxley neurons impelled by channel noise is examined in point of interest. All neurons in the networks are combined with little world associations, and the outcomes are contrasted and the case for normal networks, in which all neurons are totally combined with closest neighbor associations. A statistical variable is characterized to contemplate the aggregate conduct and pha se transition of the spiral wave because of the channel noise and topology of the network. The impact of little world connection networks is depicted by neighborhood normal networks and long - go connection with certain probability p. The numerical results a ffirm that (1) a stable rotating spiral wave can be created and keep up powerful with low p, where the breakup of the spiral wave and turbulence result from expanding the probability p to a specific threshold; (2) suitable intensity of the advanced channel noise can build up a spiral wave among turbulent states in little world association networks of H - H neurons; and (3) regular connection networks are more hearty to channel noise than little world connection networks. A spiral wave in a little world networ k experiences insecurity all the more effectively as the membrane temperature is expand ed to a specific high threshold .