Dynamics Analysis and Transition Mechanism of Bursting Calcium Oscillations in Non-Excitable Cells
ZHANG Feng1, LU Qi-Shao1, DUAN Li-Xia2
1School of Science, Beijing University of Aeronautics and Astronautics, Beijing 1000832Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080
Dynamics Analysis and Transition Mechanism of Bursting Calcium Oscillations in Non-Excitable Cells
ZHANG Feng1;LU Qi-Shao1;DUAN Li-Xia2
1School of Science, Beijing University of Aeronautics and Astronautics, Beijing 1000832Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080
摘要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.
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.
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2007, Vol. 24 
