Chaotic dynamics of a fractional order glucose-insulin regulatory system

Karthikeyan RAJAGOPAL; Atiyeh BAYANI; Sajad JAFARI; Anitha KARTHIKEYAN; Iqtadar HUSSAIN

doi:10.1631/FITEE.1900104

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Chaotic dynamics of a fractional order glucose-insulin regulatory system

Regular Papers | Updated：2022-05-19

- Chaotic dynamics of a fractional order glucose-insulin regulatory system
- 分数阶血糖-胰岛素调节系统的混沌动力学
- Frontiers of Information Technology & Electronic Engineering Vol. 21, Issue 7, Pages: 1108-1118(2020)
- Affiliations：
  
  Center for Nonlinear Dynamics, Defence University, Bishoftu 1041, Ethiopia
  Institute of Energy, Mekelle University, Mekelle 231, Ethiopia
  Department of Biomedical Engineering, Amirkabir University of Technology, Tehran 159163-4311, Iran
  Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700010, Vietnam
  Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
- Author bio：
  
  Karthikeyan RAJAGOPAL, E-mail: rkarthiekeyan@gmail.com
  [ "Atiyeh BAYANI, E-mail: atiyeh.bayani@yahoo.com" ]
  [ "Sajad JAFARI, E-mail:sajad.jafari@tdtu.edu.vn" ]
  [ "Anitha KARTHIKEYAN, E-mail: mrs.anithakarthikeyan@gmail.com" ]
  [ "Iqtadar HUSSAIN, E-mail: iqtadarqau@gmail.com" ]
- Funds：
- DOI：10.1631/FITEE.1900104
  CLC： O415.5
- Received：24 February 2019，
  
  Revised：2019-10-18，
  
  Published Online：21 December 2019，
  
  Published：2020-07
- Accepted：
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Karthikeyan RAJAGOPAL, Atiyeh BAYANI, Sajad JAFARI, et al. Chaotic dynamics of a fractional order glucose-insulin regulatory system[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(7): 1108-1118.
DOI：

Karthikeyan RAJAGOPAL, Atiyeh BAYANI, Sajad JAFARI, et al. Chaotic dynamics of a fractional order glucose-insulin regulatory system[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(7): 1108-1118. DOI： 10.1631/FITEE.1900104.

摘要

本文推导血糖-胰岛素调节系统的分数阶模型。现有文献已证明复杂系统的分数阶分析能够揭示系统有趣且未知的特征。本文揭示血糖-胰岛素系统在其分数阶形式下表现出多稳定性与反单调性。为体现分数阶分析的有效性，进行了所有数值模拟，包括平衡点稳定性、李雅普诺夫指数、分叉图等。详细研究由未经调节的血糖-胰岛素系统引起的各种生物紊乱，这将有助于更好地理解调节系统。

Abstract

The fractional order model of a glucose-insulin regulatory system is derived and presented. It has been extensively proved in the literature that fractional order analysis of complex systems can reveal interesting and unexplored features of the system. In our investigations we have revealed that the glucose-insulin regulatory system shows multistability and antimonotonicity in its fractional order form. To show the effectiveness of fractional order analysis

all numerical investigations like stability of the equilibrium points

Lyapunov exponents

and bifurcation plots are derived. Various biological disorders caused by an unregulated glucose-insulin system are studied in detail. This may help better understand the regulatory system.

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Keywords

references

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