Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

doi:10.1088/1674-1056/21/10/108701

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 108701-108701.doi: 10.1088/1674-1056/21/10/108701

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

Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

张争珍, 曾上游, 唐文艳, 胡锦霖, 曾紹稳, 宁维莲, 邱怡, 吴慧思

College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China

收稿日期:2011-12-03 修回日期:2012-05-03 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11065003), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2011GXNSFA018129), and the Research Funding of Guangxi Provincial Education Department, China (Grant No. 201012MS026).

Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

Zhang Zheng-Zhen (张争珍), Zeng Shang-You (曾上游), Tang Wen-Yan (唐文艳), Hu Jin-Lin (胡锦霖), Zeng Shao-Wen (曾紹稳), Ning Wei-Lian (宁维莲), Qiu Yi (邱怡), Wu Hui-Si (吴慧思)

College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China

Received:2011-12-03 Revised:2012-05-03 Online:2012-09-01 Published:2012-09-01
Contact: Zeng Shang-You E-mail:zsy@mailbox.gxnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11065003), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2011GXNSFA018129), and the Research Funding of Guangxi Provincial Education Department, China (Grant No. 201012MS026).

摘要/Abstract

摘要： In this paper, we study spiking synchronization in three different types of Hodgkin-Huxley neuronal networks, which are the small-world, regular, and random neuronal networks. All the neurons are subjected to subthreshold stimulus and external noise. It is found that in each of all the neuronal networks there is an optimal strength of noise to induce the maximal spiking synchronization. We further demonstrate that in each of the neuronal networks there is a range of synaptic conductance to induce the effect that an optimal strength of noise maximizes the spiking synchronization. Only when the magnitude of the synaptic conductance is moderate, will the effect be considerable. However, if the synaptic conductance is small or large, the effect vanishes. As the connections between neurons increase, the synaptic conductance to maximize the effect decreases. Therefore, we show quantitatively that the noise-induced maximal synchronization in the Hodgkin-Huxley neuronal network is a general effect, regardless of the specific type of neuronal network.

关键词: spiking synchronization, neuronal network, noise

Abstract: In this paper, we study spiking synchronization in three different types of Hodgkin-Huxley neuronal networks, which are the small-world, regular, and random neuronal networks. All the neurons are subjected to subthreshold stimulus and external noise. It is found that in each of all the neuronal networks there is an optimal strength of noise to induce the maximal spiking synchronization. We further demonstrate that in each of the neuronal networks there is a range of synaptic conductance to induce the effect that an optimal strength of noise maximizes the spiking synchronization. Only when the magnitude of the synaptic conductance is moderate, will the effect be considerable. However, if the synaptic conductance is small or large, the effect vanishes. As the connections between neurons increase, the synaptic conductance to maximize the effect decreases. Therefore, we show quantitatively that the noise-induced maximal synchronization in the Hodgkin-Huxley neuronal network is a general effect, regardless of the specific type of neuronal network.

Key words: spiking synchronization, neuronal network, noise

中图分类号: (Synchronization in the nervous system)

87.19.lm

87.19.L- (Neuroscience) 87.19.lj (Neuronal network dynamics)

张争珍, 曾上游, 唐文艳, 胡锦霖, 曾紹稳, 宁维莲, 邱怡, 吴慧思. Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks[J]. 中国物理B, 2012, 21(10): 108701-108701.

Zhang Zheng-Zhen (张争珍), Zeng Shang-You (曾上游), Tang Wen-Yan (唐文艳), Hu Jin-Lin (胡锦霖), Zeng Shao-Wen (曾紹稳), Ning Wei-Lian (宁维莲), Qiu Yi (邱怡), Wu Hui-Si (吴慧思). Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks[J]. Chin. Phys. B, 2012, 21(10): 108701-108701.

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Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

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