File:Glucose-Oscillations-Can-Activate-an-Endogenous-Oscillator-in-Pancreatic-Islets-pcbi.1005143.s003.ogv

English: Phase plane animation of glycolytic oscillator recruitment and dependence on sinusoidal glucose signal period. An animated version of Fig 13. The glycolytic subsystem transitions between bistable and monostable as Ge oscillations cross the Hopf bifurcation at Gmid ≈ 14.5 mM. When bistable, a stable equilibrium is surrounded by an unstable limit cycle (dashed curve), which is surrounded by a stable limit cycle (solid black curve); when monostable, an unstable equilibrium is surrounded by a stable limit cycle. The state of the glycolytic subsystem, i.e. the phase point, trajectory (red curve) is trapped by rapid alternation between disappearance and re-emergence of the stable equilibrium’s domain of attraction (shaded gray) when Ge oscillates with 1 min period (left) but not when when Ge oscillates with 5 min period (right).