Bifurcation Analysis and Transition Mechanism in a Modified Model of Ca$^{2+}$ Oscillations
Quan-Bao Ji1, Zhuo-Qin Yang2, Fang Han3**
1School of Finance, Huainan Normal University, Huainan 232038 2School of Mathematics and Systems Science and LMIB, Beihang University, Beijing 100191 3College of Information Science and Technology, Donghua University, Shanghai 201620
Abstract:Some new elements are introduced into a mathematical model of intracellular calcium oscillations, which make it particularly suitable for the study of bifurcation. In addition to generating regular oscillations, such a modified model can be used to reproduce the burst discharges similar to those recorded in experiments and to describe two new types of oscillatory phenomena. By means of a fast/slow dynamical analysis, we explore the bifurcation and transition mechanisms associated with two types of bursters due to changes in the interaction of two slow variables with different timescales.
. [J]. 中国物理快报, 2017, 34(8): 80501-.
Quan-Bao Ji, Zhuo-Qin Yang, Fang Han. Bifurcation Analysis and Transition Mechanism in a Modified Model of Ca$^{2+}$ Oscillations. Chin. Phys. Lett., 2017, 34(8): 80501-.