| Presentation | 1994/6/28 A Modified Radial Isochron Clock as a Model of Pacemaker and its Global Bifurcation Structure when Forced by Periodic Stimuli Taishin Nomura, Shunsuke Sato, Shinji Doi, J.P. Segundo, M.D. Stiber, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A simple mathematical model of living pacemaker neurons is proposed.The model has a unit circle limit cycle and radial isochrons,and the state point moves slowly in one region and fast in the remaining region;regions can correspond to the subthreshold activity and to the action potentials of pacemaker neurons, respectively.The global bifurcation structure when forced by periodic pulse trains was studied using one dimensional maps(PTC), two dimensional bifurcation diagrams,and skeletons involving stimulus period and intensity.The existence of both the slow and the fast dynamics has a critical influence on the global bifurcation structure of the oscillator when stimulated periodically. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pacemaker neuron / isochron / periodic stimuli / phase transition curve / bifurcation structure |
| Paper # | NC94-14 |
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| Committee | NC |
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| Conference Date | 1994/6/28(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 | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Modified Radial Isochron Clock as a Model of Pacemaker and its Global Bifurcation Structure when Forced by Periodic Stimuli |
| Sub Title (in English) | |
| Keyword(1) | pacemaker neuron |
| Keyword(2) | isochron |
| Keyword(3) | periodic stimuli |
| Keyword(4) | phase transition curve |
| Keyword(5) | bifurcation structure |
| 1st Author's Name | Taishin Nomura |
| 1st Author's Affiliation | Department of Biophysical Engineering,Faculty of Engineering Science,Osaka University() |
| 2nd Author's Name | Shunsuke Sato |
| 2nd Author's Affiliation | Department of Biophysical Engineering,Faculty of Engineering Science,Osaka University |
| 3rd Author's Name | Shinji Doi |
| 3rd Author's Affiliation | Department of Biophysical Engineering,Faculty of Engineering Science,Osaka University |
| 4th Author's Name | J.P. Segundo |
| 4th Author's Affiliation | Department of Anatomy and Cell Biology,Brain Research Institute, University of California Los Angeles |
| 5th Author's Name | M.D. Stiber |
| 5th Author's Affiliation | Computer Science Department,The Hong Kong University of Science and Technology |
| Date | 1994/6/28 |
| Paper # | NC94-14 |
| Volume (vol) | vol.94 |
| Number (no) | 129 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |