In recent decades, several mathematical models of the glucose-insulin system have been developed to study the complications of diabetes and to diagnose and treat the disease by predicting outcomes. However, in this work, we focus on the interaction between two drugs used in the treatment of type 2 diabetes when lifestyle measures alone are insufficient to control blood glucose levels: metformin and repaglinide. Initially, we combine these two treatments using a new approach of a mathematical model of the glucose-insulin system that integrates the effects of these drugs. The model parameters are then estimated using an inverse optimization problem and available data. The response of metformin and repaglinide in type 2 diabetes patients is investigated through numerical simulations. The results show an increase in glucagon and insulin concentrations, as well as a decrease in glucose concentrations in the heart, tissues, and liver. These findings support the mechanism by which repaglinide lowers blood glucose levels by stimulating insulin release from the pancreas, while metformin helps reduce blood sugar by improving the body’s response to insulin.

therapeutic, mathematical model, medicament, repaglinide, metformin, type 2 diabetes

Received: November 24, 2024; Revised: December 13, 2024; Accepted: January 23, 2025; Published: February 12, 2025

How to cite this article: Mahamat Saleh Daoussa Haggar, Jean Marie Ntaganda and Adam Hassan Adoum, A mathematical model for investigating the therapeutic response of repaglinide and metformin in type 2 diabetes patients, Far East Journal of Dynamical Systems 38(1) (2025), 107-125. https://doi.org/10.17654/0972111825005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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