Dynamical Effect of Calcium Pump on Cytosolic Calcium Bursting Oscillations with IP₃ Degradation

Taking account of the Ca²⁺-activated degradation of inositol trisphosphate (IP₃), a one pool model of cytosolic calcium oscillation is considered to investigate the effect of the calcium pump on the Ca²⁺ bursting oscillation behavior. In order to give the oscillation domain, a two-parameter bifurcation analysis of the fast subsystem is performed in the parameter plane. Different types of bursting are presented with the variation of the pump parameter, and fast-slow dynamics is used to analyze the types and generation mechanisms of the bursting oscillations. The results are instructive for understanding the role of the calcium pump played in complex intracellular calcium activities.