| 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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| Conference Information | |
| Committee | NC |
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| Conference Date | 2006/7/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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 |
| Date of Issue | |