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
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
摘要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.
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.
JI Quan-Bao;LU Qi-Shao;Yang Zhuo-Qin;Duan Li-Xia. Bursting Ca2+ Oscillations and Synchronization in Coupled Cells[J]. 中国物理快报, 2008, 25(11): 3879-3882.
JI Quan-Bao, LU Qi-Shao, Yang Zhuo-Qin, Duan Li-Xia. Bursting Ca2+ Oscillations and Synchronization in Coupled Cells. Chin. Phys. Lett., 2008, 25(11): 3879-3882.
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2008, Vol. 25 
