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A new chaotic model for glucose-insulin regulatory system

Author

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  • Shabestari, Payam Sadeghi
  • Panahi, Shirin
  • Hatef, Boshra
  • Jafari, Sajad
  • Sprott, Julien C.

Abstract

For non-invasively investigating the interaction between insulin and glucose, mathematical modeling is very helpful. In this paper, we propose a new model for insulin-glucose regulatory system based on the well-known prey and predator models. The results of previous researches demonstrate that chaos is a common feature in complex biological systems. Our results are in accordance with previous studies and indicate that glucose-insulin regulatory system has various dynamics in different conditions. One interesting feature of this new model is having hidden attractor for some set of parameters. The result of this paper might be helpful for better understanding of regulatory system that contains glucose, insulin, and diseases such as diabetes, hypoglycemia, and hyperinsulinemia.

Suggested Citation

  • Shabestari, Payam Sadeghi & Panahi, Shirin & Hatef, Boshra & Jafari, Sajad & Sprott, Julien C., 2018. "A new chaotic model for glucose-insulin regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 44-51.
    • Handle: RePEc:eee:chsofr:v:112:y:2018:i:c:p:44-51
    DOI: 10.1016/j.chaos.2018.04.029
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    References listed on IDEAS

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    1. Erkaymaz, Okan & Ozer, Mahmut & Perc, Matjaž, 2017. "Performance of small-world feedforward neural networks for the diagnosis of diabetes," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 22-28.
    2. Panahi, Shirin & Aram, Zainab & Jafari, Sajad & Ma, Jun & Sprott, J.C., 2017. "Modeling of epilepsy based on chaotic artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 150-156.
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    Cited by:

    1. Debbouche, Nadjette & Almatroud, A. Othman & Ouannas, Adel & Batiha, Iqbal M., 2021. "Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Trobia, José & de Souza, Silvio L.T. & dos Santos, Margarete A. & Szezech, José D. & Batista, Antonio M. & Borges, Rafael R. & Pereira, Leandro da S. & Protachevicz, Paulo R. & Caldas, Iberê L. & Iaro, 2022. "On the dynamical behaviour of a glucose-insulin model," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Borah, Manashita & Das, Debanita & Gayan, Antara & Fenton, Flavio & Cherry, Elizabeth, 2021. "Control and anticontrol of chaos in fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola virus diseases," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    4. Dutta, Maitreyee & Roy, Binoy Krishna, 2020. "A new fractional-order system displaying coexisting multiwing attractors; its synchronisation and circuit simulation," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Gritli, Hassène, 2019. "Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 127-145.

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