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.
|Title of host publication||Dynamical Disease: Mathematical Analysis of Human Illness|
|Publisher||American Institute of Physics|
|Publication status||Published - 1996|
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.