Implementation of PID control strategies on Bergman model representing type 1 diabetes-T1D

Sahar Echajei, Mohamed Hafdane, Asmaa Idmbarek, Hanane Ferjouchia, Mostafa Rachik

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.

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Published: 2025-01-03

How to Cite this Article:

Sahar Echajei, Mohamed Hafdane, Asmaa Idmbarek, Hanane Ferjouchia, Mostafa Rachik, Implementation of PID control strategies on Bergman model representing type 1 diabetes-T1D, Commun. Math. Biol. Neurosci., 2025 (2025), Article ID 1

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.

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