Presentation 2003/6/20
Analysis of Synfire Chain with Mexican-Hat Connectivity
Kosuke HAMAGUCHI, Masato OKADA, Michiko YAMANA, Kazuyuki AIHARA,
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Abstract(in English) It has been suggested for decades that information is encoded not only the mean firing rate of one neuron but also on the synchrony of neural spikes among the neuron population. Synfire chain is a model of homogeneous propagation of neuronal activity in a feedforward neural network. This homogeneity of the connection enables us to solve the dynamics of the network easily, but a real brain has inhomogeneous connectivity with in the neural network. Therefore, we propose a network model with Mexican-Hat type connectivity between the layers. By using McCulloch-Pitts model, we derive order-parameter equations, which describes the Fourier 0-th mode and 2-th mode concerning the propagating neuronal activity in the feedforward neural network. We found that two non-trivial propagation mode, i.e., localized activity and uniform activity, are stable as well as the trivial solution of non-firing state. We also found the bi-stable phase where the localized activity and the uniform activity coexist.
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Keyword(in English) Synfire Chain / Mexican-Hat / Fourier-0th Mode / 2nd Mode / Localized Activity
Paper # NC2003-15
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Committee NC
Conference Date 2003/6/20(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Analysis of Synfire Chain with Mexican-Hat Connectivity
Sub Title (in English)
Keyword(1) Synfire Chain
Keyword(2) Mexican-Hat
Keyword(3) Fourier-0th Mode
Keyword(4) 2nd Mode
Keyword(5) Localized Activity
1st Author's Name Kosuke HAMAGUCHI
1st Author's Affiliation Department of Complexity Science and Engineering, Graduate School of Frontier Science, University of Tokyo()
2nd Author's Name Masato OKADA
2nd Author's Affiliation RIKEN, Brain Science Institute:"Intelligent Cooperation and Control", PRESTO, JST
3rd Author's Name Michiko YAMANA
3rd Author's Affiliation Central Research Institute of Electric Power Industry, Comm. and Info. Research Laboratory:RIKEN, Brain Science Institute
4th Author's Name Kazuyuki AIHARA
4th Author's Affiliation Department of Complexity Science and Engineering, Graduate School of Frontier Science, University of Tokyo
Date 2003/6/20
Paper # NC2003-15
Volume (vol) vol.103
Number (no) 153
Page pp.pp.-
#Pages 6
Date of Issue