Fractional dynamics in calcium oscillation model
type: Item
instance of: scholarly article
title: Fractional dynamics in calcium oscillation model
zbMATH Open document ID: 1394.92044
DOI: 10.1155/2015/276059
author: Yoothana Suansook
author: Kitti Paithoonwattanakij
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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 previuosly. 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.
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 6925928
zbMATH Keywords: calcium oscillation
zbMATH Keywords: periodic bursting behavior
zbMATH Keywords: hepatocytes
describes a project that uses: Fractional Order Chaotic Systems
MaRDI profile type: Publication
Wikidata QID: Q59117822
full work available at URL: https://doi.org/10.1155/2015/276059
OpenAlex ID: W1499901938
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description: scientific article; zbMATH DE number 6925928