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

Department of Physics, Lanzhou University of Technology, Lanzhou, 730050 China
Chinese Science Bulletin (Impact Factor: 1.37). 56(2):151-157. DOI: 10.1007/s11434-010-4281-2

ABSTRACT 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.

Keywordsbreakup–channel noise–factor of synchronization–probability of long-range connection

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