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A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus

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  • Payam Sadeghi Shabestari
  • Karthikeyan Rajagopal
  • Bahareh Safarbali
  • Sajad Jafari
  • Prakash Duraisamy

Abstract

Although many mathematical models have been presented for glucose and insulin interaction, none of these models can describe diabetes disease completely. In this work, the dynamical behavior of a regulatory system of glucose-insulin incorporating time delay is studied and a new property of the presented model is revealed. This property can describe the diabetes disease better and therefore may help us in deeper understanding of diabetes, interactions between glucose and insulin, and possible cures for this widespread disease.

Suggested Citation

  • Payam Sadeghi Shabestari & Karthikeyan Rajagopal & Bahareh Safarbali & Sajad Jafari & Prakash Duraisamy, 2018. "A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus," Complexity, Hindawi, vol. 2018, pages 1-11, September.
    • Handle: RePEc:hin:complx:6815190
    DOI: 10.1155/2018/6815190
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    Cited by:

    1. Babu, N. Ramesh & Balasubramaniam, P., 2023. "Master–slave synchronization for glucose–insulin metabolism of type-1 diabetic Mellitus model based on new fractal–fractional order derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 282-301.

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