Phase-locking regions in a forced model of slow insulin and glucose oscillations | Zendy

Jeppe Sturis | Zendy; Carsten Knudsen | Zendy; N. O’Meara | Zendy; Jesper Skovhus Thomsen | Zendy; Erik Mosekilde | Zendy; Eve Van Cauter | Zendy; Kenneth S. Polonsky | Zendy

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Phase-locking regions in a forced model of slow insulin and glucose oscillations

Author(s) -

Jeppe Sturis,

Carsten Knudsen,

N. O’Meara,

Jesper Skovhus Thomsen,

Erik Mosekilde,

Eve Van Cauter,

Kenneth S. Polonsky

Publication year - 1995

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.166068

Subject(s) - hopf bifurcation , bifurcation , mechanics , physics , bifurcation theory , phase (matter) , control theory (sociology) , computer simulation , computer science , nonlinear system , quantum mechanics , artificial intelligence , control (management)

We present a detailed numerical investigation of the phase-locking regions in a forced model of slow oscillations in human insulin secretion and blood glucose concentration. The bifurcation structures of period 2pi and 4pi tongues are mapped out and found to be qualitatively identical to those of several other periodically forced self-oscillating systems operating across a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments. (c) 1995 American Institute of Physics.

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