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)

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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 languageEnglish
Title of host publicationDynamical Disease: Mathematical Analysis of Human Illness
PublisherAmerican Institute of Physics
Publication date1996
Pages193-196
Publication statusPublished - 1996

Cite this

Sturis, J., Knudsen, C., O'Meara, N. M., Thomsen, J. S., Mosekilde, E., Van Cauter, E., Polonsky, K. S., & Belair, J. E. A. (Ed.) (1996). Phase-locking regions in a forced model of slow insulin and glucose oscillations. In Dynamical Disease: Mathematical Analysis of Human Illness (pp. 193-196). American Institute of Physics.