Open AccessStudy on bursting of pancreatic cells in codimension-2 bifurcation regions
Author(s) -
Zhuoqin Yang,
Guan Ting-Ting,
Chunbiao Gan,
Zhang Jiao-Ying
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.110202
Subject(s) - bursting , bifurcation , physics , codimension , pancreatic islets , plane (geometry) , action (physics) , statistical physics , topology (electrical circuits) , mathematical analysis , mathematics , biology , neuroscience , nonlinear system , islet , combinatorics , insulin , geometry , quantum mechanics , endocrinology
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.