Presentation | 2006-07-14 Higher Order Effects on Rate Reduction for Network of Hodgkin-Huxley Neurons Masafumi OIZUMI, Yoichi MIYAWAKI, Masato OKADA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | We propose a systematic method of rate reduction for a Hodgkin-Huxley type neural network model. In this context, Shriki et al. assumed that the threshold of f-I cureve for the reduced rate model linearly depends on the leak conductance of the Hodgkin-Huxley equation, while its gain remains constant. First, we will show that they have second order dependence. Second, we show that we can naturally reduce the Hodgkin-Huxley type network with second order interaction to an analog type neural network model with higher order interaction based on this finding. Finally, we construct statistical mechanics for the Hodgkin-Huxley type network with the Mexican-hat type interaction through our rate reduction technique. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Hodgkin-Huxley equations / Rate reduction / Statistical mechanics / Mexican-hat type interaction |
Paper # | NC2006-40 |
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Committee | NC |
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Conference Date | 2006/7/7(1days) |
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Registration To | Neurocomputing (NC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Higher Order Effects on Rate Reduction for Network of Hodgkin-Huxley Neurons |
Sub Title (in English) | |
Keyword(1) | Hodgkin-Huxley equations |
Keyword(2) | Rate reduction |
Keyword(3) | Statistical mechanics |
Keyword(4) | Mexican-hat type interaction |
1st Author's Name | Masafumi OIZUMI |
1st Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo() |
2nd Author's Name | Yoichi MIYAWAKI |
2nd Author's Affiliation | NICT:ATR Computational Neuroscience Laboratories:RIKEN Brain Science Institute |
3rd Author's Name | Masato OKADA |
3rd Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo:RIKEN Brain Science Institute |
Date | 2006-07-14 |
Paper # | NC2006-40 |
Volume (vol) | vol.106 |
Number (no) | 163 |
Page | pp.pp.- |
#Pages | 6 |
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