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

Abstract

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.