期刊
COMMUNICATIONS IN THEORETICAL PHYSICS
卷 54, 期 3, 页码 583-588出版社
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/54/3/38
关键词
spiral wave; small-world network; Hodgkin-Huxley neurons; noise
资金
- Natural Nature Foundation of China [10747005, 10972179]
- Nature Foundation of Lanzhou University of Technology [Q200706]
The effect of small-world connection and noise on the formation and transition of spiral wave in the networks of Hodgkin-Huxley neurons are investigated in detail. Some interesting results are found in our numerical studies. i) The quiescent neurons are activated to propagate electric signal to others by generating and developing spiral wave from spiral seed in small area. ii) A statistical factor is defined to describe the collective properties and phase transition induced by the topology of networks and noise. iii) Stable rotating spiral wave can be generated and keeps robust when the rewiring probability is below certain threshold, otherwise, spiral wave can not be developed from the spiral seed and spiral wave breakup occurs for a stable rotating spiral wave. iv) Gaussian white noise is introduced on the membrane of neurons to study the noise-induced phase transition on spiral wave in small-world networks of neurons. It is confirmed that Gaussian white noise plays active role in supporting and developing spiral wave in the networks of neurons, and appearance of smaller factor of synchronization indicates high possibility to induce spiral wave.
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