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 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.
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Keyword(in English) pancreatic β-cell / firing pattern / bifurcation
Paper # NLP2012-175
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Committee NLP
Conference Date 2013/3/7(1days)
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Registration To Nonlinear Problems (NLP)
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
Date of Issue