Dynamics Analysis and Transition Mechanism of Bursting Calcium Oscillations in Non-Excitable Cells

A one-pool model with Ca²⁺-activated inositol-trisphosphate-concentration degradation is considered. For complex bursting Ca²⁺ oscillation, point--cycle bursting of subHopf--subHopf type is found to be in the intermediate state from quasi-periodic bursting to point--point bursting of subHopf--subHopf type. The fast--slow burster analysis is used to study the transition mechanisms among simple periodic oscillation, quasi-periodic bursting, point--point and point--cycle burstings. The dynamics analysis of different oscillations provides better insight into the generation and transition mechanisms of
complex intra- and inter-cellular Ca²⁺ signalling.