| Paper Abstract and Keywords |
| Presentation |
2006-07-14 13:50
Higher Order Effect on Analog Reduction for Network of Hodgkin-Huxley Neurons
Masafumi Oizumi (Univ. of Tokyo), Yoichi Miyawaki (ATR), Masato Okada (Univ. of Tokyo) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (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) |
| (in English) |
Hodgkin-Huxley equations / Rate reduction / Statistical mechanics / Mexican-hat type interaction / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 163, NC2006-40, pp. 13-18, July 2006. |
| Paper # |
NC2006-40 |
| Date of Issue |
2006-07-07 (NC) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
NC |
| Conference Date |
2006-07-14 - 2006-07-14 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Waseda University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
General |
| Paper Information |
| Registration To |
NC |
| Conference Code |
2006-07-NC |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Higher Order Effect on Analog Reduction for Network of Hodgkin-Huxley Neurons |
| Sub Title (in English) |
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| Keyword(1) |
Hodgkin-Huxley equations |
| Keyword(2) |
Rate reduction |
| Keyword(3) |
Statistical mechanics |
| Keyword(4) |
Mexican-hat type interaction |
| Keyword(5) |
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| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Masafumi Oizumi |
| 1st Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name |
Yoichi Miyawaki |
| 2nd Author's Affiliation |
ATR (ATR) |
| 3rd Author's Name |
Masato Okada |
| 3rd Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
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| Speaker |
Author-1 |
| Date Time |
2006-07-14 13:50:00 |
| Presentation Time |
25 minutes |
| Registration for |
NC |
| Paper # |
NC2006-40 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.163 |
| Page |
pp.13-18 |
| #Pages |
6 |
| Date of Issue |
2006-07-07 (NC) |