Bifurcation Scenarios of a Modifed Mathematical Model for Intracellular Ca super(2+) Oscillations

The contribution of this work is the modification of a mathematical model for bursting Ca super(2+) oscillations by introducing the proportion of receptors not inactivated by Ca super(2+) as a new variable. Generation mechanisms of different oscillatory patterns in this modified model are investigat...

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Bibliographic Details
Published in:Chinese physics letters 2015-05, Vol.32 (5), p.050501-1-050501-4
Main Authors: Ji, Quan-Bao, Zhou, Yi, Yang, Zhuo-Qin, Meng, Xiang-Ying
Format: Article
Language:English
Subjects:
Bifurcations
Bursting
Chaos theory
Instructive
Mathematical models
Oscillations
Receptors
Sustaining
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Summary:The contribution of this work is the modification of a mathematical model for bursting Ca super(2+) oscillations by introducing the proportion of receptors not inactivated by Ca super(2+) as a new variable. Generation mechanisms of different oscillatory patterns in this modified model are investigated and classified, based on fast/slow dynamical analysis. It is shown that periodic oscillations appear around the original chaotic regions. Moreover, two new types of oscillatory phenomena are observed at the sustaining region. The results may be instructive for understanding the difference between direct observation of dynamical behavior in real cells and theoretical explanations under a variety of stimulus conditions.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/5/050501