NDLI: Evaluation of bifurcation phenomena in a modified Shen–Larter model for intracellular $$\hbox {Ca}^{\varvec{2+}}$$ bursting oscillations

Content Provider	Springer Nature Link
Author	Ji, Quanbao Zhou, Yi Yang, Zhuoqin Meng, Xiangying
Copyright Year	2016
Abstract	The present work describes an evaluation of the bifurcation phenomena in a modified Shen–Larter model based on calcium-induced calcium release and inositol triphosphate $$(\hbox {IP}_{3})$$ crosscoupling for calcium ion $$(\hbox {Ca}^{2+})$$ bursting oscillations. A time delay for negative $$\hbox {Ca}^{2+}$$ feedback on the $$(\hbox {IP}_{3})$$ receptor is added to the original Shen–Larter model, by introducing the proportion of receptors not inactivated by $$\hbox {Ca}^{2+}$$ as a new variable. Compared with the original model, the number of chaotic regions for a stimulation level r is significantly reduced, and regions of $$\hbox {Ca}^{2+}$$ oscillations (particularly bursting) appear to become slightly enlarged. Different topological types of bursting oscillations in this modified model are classified by fast/slow dynamical analysis and codimension-2 bifurcations of fast subsystem, when choosing better of two slow variables the free $$\hbox {Ca}^{2+}$$ concentration in the endoplasmic reticulum and the $$\hbox {IP}_{3}$$ concentration in the cytosol. Furthermore, classification and transition mechanisms of bursting $$\hbox {Ca}^{2+}$$ oscillations could help to understand or detect more distinctive oscillatory behaviors of real cells in response to different levels of stimulation.
Starting Page	1281
Ending Page	1288
Page Count	8
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	84
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-01-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	$$\hbox {Ca}^{2+}$$ bursting oscillations Fast/slow dynamical analysis Codimension-2 bifurcation Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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