Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis |
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基金项目: | The project was supported by the National Natural Science Foundation of China ( 10432010. 10702002, 10772101. 10802012) and the National High Technology Research and Development Program (2007AA02Z310). |
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摘 要: | Recent advances in the experimental and theoretical study of dynamics of neuronal electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns, are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast-slow dynamics analysis for classification and mechanism of various bursting patterns, one- or two-parameter bifurcation analysis for transitions of firing patterns, and stochastic dynamics of firing activities (stochastic and coherence resonances, integer multiple and other firing patterns induced by noise, etc.). Thirdly, different types of synchronization of coupled neurons with electrical and chemical synapses are discussed. As noise and time delay are inevitable in nervous systems, it is found that noise and time delay may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented for future research. In consequence, the idea and methods of nonlinear dynamics are of great significance in exploration of dynamic processes and physiological functions of nervous systems.
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关 键 词: | 神经元 同步化 谐振 噪音 |
收稿时间: | 16 December 2007 |
Dynamics of firing patterns,synchronization and resonances in neuronal electrical activities: experiments and analysis |
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Authors: | Qishao Lu Huaguang Gu Zhuoqin Yang Xia Shi Lixia Duan Yanhong Zheng |
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Institution: | (1) School of Science, Beihang University, 100191 Beijing, China;(2) College of Life Science, Shaanxi Normal University, 710062 Xi’an, China;(3) School of Science, Beijing University of Posts and Telecommunications, 100876 Beijing, China;(4) College of Science, North China University of Technology, 100144 Beijing, China;(5) School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, China |
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Abstract: | Recent advances in the experimental and theoretical study of dynamics of neuronal electrical firing activities are reviewed.
Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns,
are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism
in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast–slow
dynamics analysis for classification and mechanism of various bursting patterns, one- or two-parameter bifurcation analysis
for transitions of firing patterns, and stochastic dynamics of firing activities (stochastic and coherence resonances, integer
multiple and other firing patterns induced by noise, etc.). Thirdly, different types of synchronization of coupled neurons
with electrical and chemical synapses are discussed. As noise and time delay are inevitable in nervous systems, it is found
that noise and time delay may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced
resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented
for future research. In consequence, the idea and methods of nonlinear dynamics are of great significance in exploration of
dynamic processes and physiological functions of nervous systems.
The project was supported by the National Natural Science Foundation of China (10432010, 10702002, 10772101, 10802012) and
the National High Technology Research and Development Program (2007AA02Z310). |
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Keywords: | Neuron Firing patterns Synchronization Resonance Noise |
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