Presentation | 2013-03-15 A model of firing pattern of pancreatic β-cell and its mathematical analysis Chuying CUI, Kantaro FUJIWARA, Tohru IKEGUCHI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | We propose a model of a pancreatic β-cell that consists of three differential equations to automatically perform the Hopf bifurcation. Our proposed model is based on the Morris-Lecar model and has an extra equation, which describes the movement of the nullclines of the Morris-Lecar model. Then, limit cycles from the proposed model can move in the state space. Using this model, we can reproduce two major characteristics firing patterns observed from pancreatic β-cells. We also investigated its response by using bifurcation to show existence of parameter regions that represent β-cell firings. Finally, we showed various firing patterns when two /5-cells are coupled with gap junctions. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | pancreatic β-cell / firing pattern / bifurcation |
Paper # | NLP2012-175 |
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Committee | NLP |
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Conference Date | 2013/3/7(1days) |
Place (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) | A model of firing pattern of pancreatic β-cell and its mathematical analysis |
Sub Title (in English) | |
Keyword(1) | pancreatic β-cell |
Keyword(2) | firing pattern |
Keyword(3) | bifurcation |
1st Author's Name | Chuying CUI |
1st Author's Affiliation | Graduate School of Science and Engineering, Saitama University() |
2nd Author's Name | Kantaro FUJIWARA |
2nd Author's Affiliation | Graduate School of Science and Engineering, Saitama University |
3rd Author's Name | Tohru IKEGUCHI |
3rd Author's Affiliation | Graduate School of Science and Engineering, Saitama University:Saitama University Brain Science Institute |
Date | 2013-03-15 |
Paper # | NLP2012-175 |
Volume (vol) | vol.112 |
Number (no) | 487 |
Page | pp.pp.- |
#Pages | 6 |
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