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

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

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

Yang Zhuo-Qin, Guan Ting-Ting, Gan Chun-Biao, Zhang Jiao-Ying
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  • Abstract views:  4154
  • PDF Downloads:  827
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Publishing process
  • Received Date:  31 January 2011
  • Accepted Date:  02 March 2011
  • Published Online:  15 November 2011

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

  • 1. Shcool of Mathematics and System Sciences and LMIB, Beihang University, Beijing 100083, China;
  • 2. Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China

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.

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