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Bursting Ca2+ Oscillations and Synchronization in Coupled Cells |
| JI Quan-Bao1,2, LU Qi-Shao1, Yang Zhuo-Qin1, Duan Li-Xia3 |
| 1School of Science, Beijing University of Aeronautics and Astronautics, Beijing 1001912Mathematic Department, Huainan Normal University, Huainan 2320013College of Science, North China University of Technology, Beijing 100144 |
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| Cite this article: |
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JI Quan-Bao, LU Qi-Shao, Yang Zhuo-Qin et al 2008 Chin. Phys. Lett. 25 3879-3882 |
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Abstract A mathematical model proposed by Grubelnk et al. [ Biophys. Chem. 94 (2001) 59] is employed to study the physiological role of mitochondria and the cytosolic proteins in generating complex Ca2+ oscillations. Intracellular bursting calcium oscillations of point--point, point--cycle and two-folded limit cycle types are observed and explanations are given based on the fast/slow dynamical analysis, especially for point--cycle and two-folded limit cycle types, which have not been reported before. Furthermore, synchronization of coupled bursters of Ca2+ oscillations via gap junctions and the effect of bursting types on synchronization of coupled cells are studied. It is argued that bursting oscillations of point--point type may be superior to achieve synchronization than that of point--cycle type.
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| Keywords:
05.45.-a
82.40.Bj
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Received: 06 July 2008
Published: 25 October 2008
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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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