| Presentation | 2010-11-19 Dynamical behavior of bursting oscillation in terms of spatiotemporal pattern of potential with active areas Koji KUROSE, Yoshihiro HAYAKAWA, Shigeo SATO, Koji NAKAJIMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Various type models including Hodgkin-Huxley model express the firing dynamics of the biological neuron. These neuron models are described in the form of differential equations with heavy nonlinearity. They have common characteristics of spike oscillations. The dynamics of neuron models, which are depended on the bifurcation parameters and vary significantly at a critical point, are individually researched with the bifurcation theory. We have proposed Burst ID model with an addition one variable to ID model. It is a kind of Hodgkin-Huxley type model, and has burst firing and chaos dynamics with three variable. We are able to express these dynamics as a motion of a quasi particle in potential with active areas, and foresee either divergence or converge solution in terms of the curvature of the potential function and the landscape of solutions including the stability of equilibria. In this report, we analyze several burst dynamics of the Burst ID model based on the spatiotemporal structure of the potential with the active areas. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | burst firing / Burst inverse function delayed model |
| Paper # | NLP2010-100 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2010/11/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Dynamical behavior of bursting oscillation in terms of spatiotemporal pattern of potential with active areas |
| Sub Title (in English) | |
| Keyword(1) | burst firing |
| Keyword(2) | Burst inverse function delayed model |
| 1st Author's Name | Koji KUROSE |
| 1st Author's Affiliation | Laboratory for Brainware, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University() |
| 2nd Author's Name | Yoshihiro HAYAKAWA |
| 2nd Author's Affiliation | Sendai National College of Technology |
| 3rd Author's Name | Shigeo SATO |
| 3rd Author's Affiliation | Laboratory for Brainware, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University |
| 4th Author's Name | Koji NAKAJIMA |
| 4th Author's Affiliation | Laboratory for Brainware, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University |
| Date | 2010-11-19 |
| Paper # | NLP2010-100 |
| Volume (vol) | vol.110 |
| Number (no) | 299 |
| Page | pp.pp.- |
| #Pages | 4 |
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