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

J. Sturis; C. Knudsen; N.M. O'Meara; J.S. Thomsen; Erik Mosekilde; E. Van Cauter; K.S. Polonsky; J. et al. Belair

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

J. Sturis
, C. Knudsen
, N.M. O'Meara
, J.S. Thomsen
, Erik Mosekilde
, E. Van Cauter
, K.S. Polonsky
, J. et al. Belair (Editor)

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

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-oscillatory systems operating acrocss a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments.

Original language	English
Title of host publication	Dynamical Disease: Mathematical Analysis of Human Illness
Publisher	American Institute of Physics
Publication date	1996
Pages	193-196
Publication status	Published - 1996

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Cite this

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title = "Phase-locking regions in a forced model of slow insulin and glucose oscillations",

abstract = "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-oscillatory systems operating acrocss a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments.",

author = "J. Sturis and C. Knudsen and N.M. O'Meara and J.S. Thomsen and Erik Mosekilde and \{Van Cauter\}, E. and K.S. Polonsky and Belair, \{J. et al.\}",

year = "1996",

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pages = "193--196",

booktitle = "Dynamical Disease: Mathematical Analysis of Human Illness",

publisher = "American Institute of Physics",

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T1 - Phase-locking regions in a forced model of slow insulin and glucose oscillations

AU - Sturis, J.

AU - Knudsen, C.

AU - O'Meara, N.M.

AU - Thomsen, J.S.

AU - Mosekilde, Erik

AU - Van Cauter, E.

AU - Polonsky, K.S.

A2 - Belair, J. et al.

PY - 1996

Y1 - 1996

N2 - 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-oscillatory systems operating acrocss a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments.

AB - 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-oscillatory systems operating acrocss a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments.

M3 - Article in proceedings

SP - 193

EP - 196

BT - Dynamical Disease: Mathematical Analysis of Human Illness

PB - American Institute of Physics

ER -