Abstract
Oscillatory patterns in a one-pool model with Ca 2+-activated IP 3 degradation are presented and classified, based on fast/slow dynamical analysis and two-parameter bifurcations. The whole parameter space can be partitioned into two parts, that is, the oscillatory and rest regions. For this purpose, we perform the continuation of fold bifurcation, Hopf bifurcation and saddle-node bifurcation of limit cycles, respectively. Several distinct topological types of complex intracellular Ca 2+ oscillations (especially bursting) are investigated in the oscillatory area. The classification and transition of different types of Ca 2+ oscillations may offer a possible explanation for the differences in dynamic behavior observed in real cells in response to different levels of stimulation.
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