title: Bifurcation structure of a model of bursting pancreatic cells.
abstract: One- and two-dimensional bifurcation studies of a prototypic model of bursting oscillations in pancreatic beta-cells reveal a squid-formed area of chaotic dynamics in the parameter plane, with period-doubling bifurcations on one side of the arms and saddle-node bifurcations on the other. The transition from this structure to the so-called period-adding structure is found to involve a subcritical period-doubling bifurcation and the emergence of type-III intermittency. The period-adding transition itself is not smooth but consists of a saddle-node bifurcation in which (n+1)-spike bursting behavior is born, slightly overlapping with a subcritical period-doubling bifurcation in which n-spike bursting behavior loses its stability.
authors.affiliation: Department of Physics, Center for Chaos and Turbulence Studies, Building 309, The Technical University of Denmark, 2800 Kgs., Lyngby, Denmark. ellen@chaos.fys.dtu.dk
authors.forename: E
authors.initials: E
authors.lastname: Mosekilde
authors.forename: B
authors.initials: B
authors.lastname: Lading
authors.forename: S
authors.initials: S
authors.lastname: Yanchuk
authors.forename: Y
authors.initials: Y
authors.lastname: Maistrenko
mesh_terms: D000200:Action Potentials; D007328:Insulin / Q000378:metabolism; D000078790:Insulin Secretion; D007515:Islets of Langerhans / Q000166:cytology* / Q000378:metabolism / Q000502:physiology; D008954:Models, Biological
chemical_list: D007328:Insulin