Fractional Dynamics in Calcium Oscillation Model
Joint Authors
Suansook, Yoothana
Paithoonwattanakij, Kitti
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The calcium oscillations have many important roles to perform many specific functions ranging from fertilization to cell death.
The oscillation mechanisms have been observed in many cell types including cardiac cells, oocytes, and hepatocytes.
There are many mathematical models proposed to describe the oscillatory changes of cytosolic calcium concentration in cytosol.
Many experiments were observed in various kinds of living cells.
Most of the experimental data show simple periodic oscillations.
In certain type of cell, there exists the complex periodic bursting behavior.
In this paper, we have studied further the fractional chaotic behavior in calcium oscillations model based on experimental study of hepatocytes proposed by Kummer et al.
Our aim is to explore fractional-order chaotic pattern in this oscillation model.
Numerical calculation of bifurcation parameters is carried out using modified trapezoidal rule for fractional integral.
Fractional-order phase space and time series at fractional order are present.
Numerical results are characterizing the dynamical behavior at different fractional order.
Chaotic behavior of the model can be analyzed from the bifurcation pattern.
American Psychological Association (APA)
Suansook, Yoothana& Paithoonwattanakij, Kitti. 2015. Fractional Dynamics in Calcium Oscillation Model. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073386
Modern Language Association (MLA)
Suansook, Yoothana& Paithoonwattanakij, Kitti. Fractional Dynamics in Calcium Oscillation Model. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1073386
American Medical Association (AMA)
Suansook, Yoothana& Paithoonwattanakij, Kitti. Fractional Dynamics in Calcium Oscillation Model. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073386