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

Jeppe Sturis; Carsten Knudsen; Niall M. O'Meara; Jesper Skovhus Thomsen; Erik Mosekilde; Eve Van Cauter; Kenneth S. Polonsky

doi:10.1063/1.166068

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

Jeppe Sturis, Carsten Knudsen, Niall M. O'Meara, Jesper Skovhus Thomsen, Erik Mosekilde, Eve Van Cauter, Kenneth S. Polonsky

Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

419 Downloads (Orbit)

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-oscillating systems operating across a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments. ©1995 American Institute of Physics.

Original language	English
Journal	Chaos
Volume	5
Issue number	1
Pages (from-to)	193-199
ISSN	1054-1500
DOIs	https://doi.org/10.1063/1.166068
Publication status	Published - 1995

Bibliographical note

Copyright (1995) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Access to Document

10.1063/1.166068

SturisFinal published version, 473 KB

http://link.aip.org/link/?CHAOEH/5/193/1

OpenUrl availability

Full text

Cite this

@article{21fffdf5a40e4959ba645110b0d27bf8,

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-oscillating systems operating across a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments. {\textcopyright}1995 American Institute of Physics.",

author = "Jeppe Sturis and Carsten Knudsen and O'Meara, {Niall M.} and Thomsen, {Jesper Skovhus} and Erik Mosekilde and Cauter, {Eve Van} and Polonsky, {Kenneth S.}",

note = "Copyright (1995) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.",

year = "1995",

doi = "10.1063/1.166068",

language = "English",

volume = "5",

pages = "193--199",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

number = "1",

}

TY - JOUR

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

AU - Sturis, Jeppe

AU - Knudsen, Carsten

AU - O'Meara, Niall M.

AU - Thomsen, Jesper Skovhus

AU - Mosekilde, Erik

AU - Cauter, Eve Van

AU - Polonsky, Kenneth S.

N1 - Copyright (1995) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

PY - 1995

Y1 - 1995

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-oscillating systems operating across a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments. ©1995 American Institute of Physics.

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-oscillating systems operating across a Hopf-bifurcation point. The numerical analyses are supplemented by clinical experiments. ©1995 American Institute of Physics.

U2 - 10.1063/1.166068

DO - 10.1063/1.166068

M3 - Journal article

C2 - 12780173

SN - 1054-1500

VL - 5

SP - 193

EP - 199

JO - Chaos

JF - Chaos

IS - 1

ER -

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

Abstract

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this