Stable Dynamical Model of Glucose-Insulin and Externally Ingested Glucose

Authors

  • Wachira Suriyapongsakul Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang
  • Kanchana Kumnungkit Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang

Keywords:

Glucose-Insulin, Logistic Growth Method, Stability, Lyapunov Function, Computer Simulation

Abstract

Background: In this study, a mathematical model for the regulating system of human glucose-insulin production is presented. It assumes that the body receives glucose externally from foods or daily dietary intake by ingestion. We also looked at the externally obtained glucose source in the form of drugs or highly sweet foods. Objectives: The exogenous glucose assimilation process follows the logistic growth method, and thus allowing the creation of a mathematical model as three non-linear differential equations. Methods: This model was analyzed to determine the stability conditions of homeostasis by creating the Lyapunov Function conditions. Results: Finally, the stability conditions of this model were numerically used and graphed clearly. Conclusion: In conclusion, if the body receives exogenous glucose after 2 hours of absorption process, the blood glucose level will go into equilibrium state.

References

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Published

2021-04-22

How to Cite

1.
Suriyapongsakul W, Kumnungkit K. Stable Dynamical Model of Glucose-Insulin and Externally Ingested Glucose. J Chulabhorn Royal Acad [Internet]. 2021 Apr. 22 [cited 2024 May 21];3(2):94-105. Available from: https://he02.tci-thaijo.org/index.php/jcra/article/view/249072

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Section

Research Articles