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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 |
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Cite this article: |
ZHANG Feng, LU Qi-Shao, DUAN Li-Xia 2007 Chin. Phys. Lett. 24 3344-3346 |
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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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Keywords:
05.45.-a
82.40.Bj
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Received: 03 March 2007
Published: 03 December 2007
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PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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