Bifurcation structure of a model of bursting pancreatic cells.
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.
Mosekilde
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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
Lading
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Yanchuk
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Maistrenko
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D000200:Action Potentials; D007328:Insulin / Q000378:metabolism; D000078790:Insulin Secretion; D007515:Islets of Langerhans / Q000166:cytology* / Q000378:metabolism / Q000502:physiology; D008954:Models, Biological
D007328:Insulin