Study on bursting of pancreatic β cells in codimension-2 bifurcation regions

Zhuo Qin Yang; Ting Ting Guan; Chun Biao Gan; Jiao Ying Zhang

Study on bursting of pancreatic β cells in codimension-2 bifurcation regions

Zhuo Qin Yang^*
, Ting Ting Guan
, Chun Biao Gan
, Jiao Ying Zhang

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University
Zhejiang University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Electrical activities of insulin secretion in pancreatic islets are characterized by bursts of action potentials. With a simple but representative Vries-Sherman model, we determine the regions of different types of bursting in two-parameter plane through the two-parameter bifurcation analysis of the fast subsystem. Moreover, fast/slow analysis is used to reveal topological types of bursting patterns for different values of the parameter Vm and transition mechanisms between them.

Original language	English
Article number	110202
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	60
Issue number	11
State	Published - Nov 2011

Keywords

Bursting
Codimension-2 bifurcation
Fast/slow analysis

Cite this

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title = "Study on bursting of pancreatic β cells in codimension-2 bifurcation regions",

abstract = "Electrical activities of insulin secretion in pancreatic islets are characterized by bursts of action potentials. With a simple but representative Vries-Sherman model, we determine the regions of different types of bursting in two-parameter plane through the two-parameter bifurcation analysis of the fast subsystem. Moreover, fast/slow analysis is used to reveal topological types of bursting patterns for different values of the parameter Vm and transition mechanisms between them.",

keywords = "Bursting, Codimension-2 bifurcation, Fast/slow analysis",

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journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Study on bursting of pancreatic β cells in codimension-2 bifurcation regions

AU - Yang, Zhuo Qin

AU - Guan, Ting Ting

AU - Gan, Chun Biao

AU - Zhang, Jiao Ying

PY - 2011/11

Y1 - 2011/11

N2 - Electrical activities of insulin secretion in pancreatic islets are characterized by bursts of action potentials. With a simple but representative Vries-Sherman model, we determine the regions of different types of bursting in two-parameter plane through the two-parameter bifurcation analysis of the fast subsystem. Moreover, fast/slow analysis is used to reveal topological types of bursting patterns for different values of the parameter Vm and transition mechanisms between them.

AB - Electrical activities of insulin secretion in pancreatic islets are characterized by bursts of action potentials. With a simple but representative Vries-Sherman model, we determine the regions of different types of bursting in two-parameter plane through the two-parameter bifurcation analysis of the fast subsystem. Moreover, fast/slow analysis is used to reveal topological types of bursting patterns for different values of the parameter Vm and transition mechanisms between them.

KW - Bursting

KW - Codimension-2 bifurcation

KW - Fast/slow analysis

UR - https://www.scopus.com/pages/publications/82755182397

M3 - 文章

AN - SCOPUS:82755182397

SN - 1000-3290

VL - 60

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 11

M1 - 110202

ER -

Study on bursting of pancreatic β cells in codimension-2 bifurcation regions

Abstract

Keywords

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