Bursting synchronization in clustered neuronal networks

doi:10.1088/1674-1056/22/1/018701

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 18701-018701.doi: 10.1088/1674-1056/22/1/018701

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Bursting synchronization in clustered neuronal networks

于海涛, 王江, 邓斌, 魏熙乐

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

收稿日期:2012-02-04 修回日期:2012-07-25 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61072012, 61104032, and 61172009), the Natural Science Foundation of Tianjin Municipality, China (Grant No. 12JCZDJC21100), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos. 60901035 and 50907044).

Bursting synchronization in clustered neuronal networks

Yu Hai-Tao (于海涛), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐)

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

Received:2012-02-04 Revised:2012-07-25 Online:2012-12-01 Published:2012-12-01
Contact: Wang Jiang E-mail:jiangwang@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61072012, 61104032, and 61172009), the Natural Science Foundation of Tianjin Municipality, China (Grant No. 12JCZDJC21100), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos. 60901035 and 50907044).

摘要/Abstract

摘要： Neuronal networks in the brain exhibit the modular (clustered) property, i.e., they are composed of certain subnetworks with differential internal and external connectivity. We investigate bursting synchronization in a clustered neuronal network. A transition to mutual-phase synchronization takes place on the bursting time scale of coupled neurons, while on the spiking time scale, they behave asynchronously. This synchronization transition can be induced by the variations of inter- and intra-coupling strengths, as well as the probability of random links between different subnetworks. Considering that some pathological conditions are related with the synchronization of bursting neurons in the brain, we analyze the control of bursting synchronization by using a time-periodic external signal in the clustered neuronal network. Simulation results show a frequency locking tongue in the driving parameter plane, where bursting synchronization is maintained, even in the presence of external driving. Hence, effective synchronization suppression can be realized with the driving parameters outside the frequency locking region.

关键词: bursting synchronization, neuronal network, cluster, external signal

Abstract: Neuronal networks in the brain exhibit the modular (clustered) property, i.e., they are composed of certain subnetworks with differential internal and external connectivity. We investigate bursting synchronization in a clustered neuronal network. A transition to mutual-phase synchronization takes place on the bursting time scale of coupled neurons, while on the spiking time scale, they behave asynchronously. This synchronization transition can be induced by the variations of inter- and intra-coupling strengths, as well as the probability of random links between different subnetworks. Considering that some pathological conditions are related with the synchronization of bursting neurons in the brain, we analyze the control of bursting synchronization by using a time-periodic external signal in the clustered neuronal network. Simulation results show a frequency locking tongue in the driving parameter plane, where bursting synchronization is maintained, even in the presence of external driving. Hence, effective synchronization suppression can be realized with the driving parameters outside the frequency locking region.

Key words: bursting synchronization, neuronal network, cluster, external signal

中图分类号: (Neuronal network dynamics)

87.19.lj

05.45.Xt (Synchronization; coupled oscillators)

于海涛, 王江, 邓斌, 魏熙乐. Bursting synchronization in clustered neuronal networks[J]. Chin. Phys. B, 2013, 22(1): 18701-018701.

Yu Hai-Tao (于海涛), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐). Bursting synchronization in clustered neuronal networks[J]. Chin. Phys. B, 2013, 22(1): 18701-018701.

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Bursting synchronization in clustered neuronal networks

Bursting synchronization in clustered neuronal networks

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