Detection of ordered wave in the networks of neurons with changeable connection  

作　　者：MA Jun WU Ying WU NingJie GUO HaiYan 

机构地区：[1]Department of Physics,Lanzhou University of Technology [2]School of Aerospace, Xi'an Jiaotong University [3]School of Mathematical Sciences,Nanjing Normal University [4]Information Engineering School,Southwest University of Science and Technology

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第5期952-959,共8页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Nature Science Foundation of China (Grant Nos.11265008 and 10972179)

摘　　要：The probability of long-range connection among neurons could be changeable in biological neuronal networks. In this paper, the probability of long-range connection between neurons is not fixed at a constant but varies in a numerical region (≤p0 ), and then the collective behaviors of neurons are detected. A statistical factor in the two-dimensional space is used to detect the phase transition and robustness of spiral wave in the active network of neurons. It is found that the development of spatiotem-poral pattern depends on the numerical region (≤p0 ) for the probability of long-range connection. Coherence resonance-like behavior is observed due to the fluctuation in the long-range probability. Spiral waves emerge to occupy the network of neurons under an optimized probability of long-range connection, and it shows certain robustness in weak channel noise.The probability of long-range connection among neurons could be changeable in biological neuronal networks. In this paper, the probability of long-range connection between neurons is not fixed at a constant but varies in a numerical region （≤P0）, and then the collective behaviors of neurons are detected. A statistical factor in the two-dimensional space is used to detect the phase transition and robustness of spiral wave in the active network of neurons. It is found that the development of spatiotem- poral pattern depends on the numerical region （≤P0） for the probability of long-range connection. Coherence resonance-like behavior is observed due to the fluctuation in the long-range probability. Spiral waves emerge to occupy the network of neu- rons under an optimized probability of long-range connection, and it shows certain robustness in weak channel noise.

关 键 词：spiral wave factor of synchronization Hodgkin-Huxley neurons NETWORKS 

分 类 号：O157.5[理学—数学]