Implementation of PID control strategies on Bergman model representing type 1 diabetes-T1D
Abstract
In this work, we address Type 1 diabetes (T1D), a chronic autoimmune condition characterized by elevated glucose levels in patient’s bloodstream. We propose a robust approach for regulating blood glucose (BG) levels in individuals with T1D by utilizing a proportional-integral-derivative (PID) control method. The minimal Bergman model is utilized to represent the dynamics of glucose-insulin in the blood plasma. The proposed control strategy integrates the PID controller as a core element for BG regulation. Through simulations, our findings demonstrate the efficacy of the proposed controller in maintaining BG levels close to a target value of 80 mg/dL, starting from a state of hyperglycemia, even amidst various perturbations associated with meal intake.
- Published
- 3 January 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Sahar Echajei, Mohamed Hafdane, Asmaa Idmbarek, Hanane Ferjouchia, Mostafa Rachik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Echajei, M. Hafdane, A. Idmbarek, H. Ferjouchia, M. Rachik, Implementation of PID control strategies on Bergman model representing type 1 diabetes-T1D, Commun. Math. Biol. Neurosci. 2025 (2025), 1. https://doi.org/10.28919/cmbn/9007
BibTeX
@article{Echajei2025,
author = {Echajei, Sahar and Hafdane, Mohamed and Idmbarek, Asmaa and Ferjouchia, Hanane and Rachik, Mostafa},
title = {Implementation of PID control strategies on Bergman model representing type 1 diabetes-T1D},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2025},
year = {2025},
pages = {1},
doi = {10.28919/cmbn/9007}
}