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Effects of internal noise on the spiking regularity of a clustered Hodgkin–Huxley neuronal network

Theoretical & Applied Mechanics Letters 2014年第1期4卷 35-40页

作者： Xiaojuan Sun School of Science Beijing University of Posts and Telecommunications

Spiking regularity in a clustered Hodgkin–Huxley（HH） neuronal network has been studied in this letter. A stochastic HH neuronal model with channel blocks has been applied as local neuronal model. Effects of the internal channel noise on the spiking regularity are discussed by changing the membrane patch size. We find that when there is no channel blocks in potassium channels, there exist some intermediate membrane patch sizes at which the spiking regularity could reach to a higher level. Spiking regularity increases with the membrane patch size when sodium channels are not blocked. Namely, depending on different channel blocking states, internal channel noise tuned by membrane patch size could have different influence on the spiking regularity of neuronal networks.

关键词： spiking regularity internal noise clustered neuronal network Hodgkin–Huxley neuron

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System Size Resonance Associated with Canard Phenomenon in a Biological Cell System

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Chinese Journal of Chemical Physics 2008年第6期21卷 521-525页

作者： Juan Ma Hong-ying Li Zhong-huai Hou Hou-wen Xin Department of Chemical Physics University of Science and Technology of China Hefei 230026 China Hefei National Lab of Physical Science at Microscale University of Science and TechnoloEy of China Hefei 230026 China Department of Chemistry Hefei Teachers College Hefei 230000 China

The influence of internal noise on the calcium oscillations is studied. It is found that stochastic calcium oscillations occur when the internal noise is considered, while the corresponding deterministic dynamics only yields a steady state. Also,. the performance of such oscillations shows two maxima with the variation of the system size, indicating the occurrence of system size resonance. This behavior is found to be intimately connected with the canard phenomenon. Interestingly, it is also found that one of the optimal system sizes matches well with the real cell size, and such a match is robust to the variation of the control parameters.

关键词： internal noise Calcium oscillations System size resonance Canard phenomenon

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