| Presentation | 1997/10/7 Design and analysis of a simple neuron model with complicated behavior: From the viewpoint of slow-fast dynamics Shinji Doi, Sadatoshi Kumagai, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Electric activities of neurons or other cells of biological systems are usually modeled by the Hodgkin-Huxley(HH)-type equation which is described by multi-variable nonlinear differential equations. A simpified model of the HH-type model is proposed as an extended version of the Bonhoeffer-van der Pol (BVP) (or FitzHugh-Nagumo) model. Dynamics with different time scales are typical in bilogical systems. The dynamics of the extended BVP model are analyzed from the viewpoint of a hybrid system of systems with different time scales. This slow-fast analysis is shown to be effective to design a simple neuron model with a variety of dynamics. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neuron / Hodgkin-Huxley equatioon / Bonhoeffer-van der Pol equation / slow-fast dynamics / singular perturbation |
| Paper # | NLP97-99-112 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1997/10/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | 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) | Design and analysis of a simple neuron model with complicated behavior: From the viewpoint of slow-fast dynamics |
| Sub Title (in English) | |
| Keyword(1) | neuron |
| Keyword(2) | Hodgkin-Huxley equatioon |
| Keyword(3) | Bonhoeffer-van der Pol equation |
| Keyword(4) | slow-fast dynamics |
| Keyword(5) | singular perturbation |
| 1st Author's Name | Shinji Doi |
| 1st Author's Affiliation | Department of Electrical Engineering, Faculty of Engineering, Osaka University() |
| 2nd Author's Name | Sadatoshi Kumagai |
| 2nd Author's Affiliation | Department of Electrical Engineering, Faculty of Engineering, Osaka University |
| Date | 1997/10/7 |
| Paper # | NLP97-99-112 |
| Volume (vol) | vol.97 |
| Number (no) | 301 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |