Phase-locking regions in a forced model of slow insulin and glucose oscillations.
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.
Sturis
Jeppe
J
Department of Medicine, The University of Chicago, Chicago, Illinois 60637Physics Department, The Technical University of Denmark, DK-2800 Lyngby, DenmarkPhysics Department, The Technical University of Denmark, DK-2800 Lyngby, DenmarkDepartment of Medicine, The University of Chicago, Chicago, Illinois 60637Physics Department, The Technical University of Denmark, DK-2800 Lyngby, DenmarkDepartment of Medicine, The University of Chicago, Chicago, Illinois 60637.
Knudsen
Carsten
C
O'Meara
Niall M.
NM
Thomsen
Jesper S.
JS
Mosekilde
Erik
E
Van Cauter
Eve
E
Polonsky
Kenneth S.
KS