Impact of food intake on glucose and insulin regulation: an integrated mathematical model

Abstract

This study presents a novel and original mathematical model that integrates glucose, insulin, beta cells, and food intake dynamics to explore their interrelationships and impact on glycemic regulation. The model incorporates differential equations representing the changes in glucose levels, insulin secretion, beta cell activity, and dietary intake. By analyzing the stability of equilibrium points, we aim to understand how variations in food intake influence glucose and insulin dynamics. The originality of this model lies in its comprehensive approach to incorporating food intake as a critical factor in glucose homeostasis. The results provide insights into the mechanisms governing glycemic regulation, offering a framework for predicting the effects of dietary changes and improving diabetes management strategies. This model has potential applications in clinical settings, aiding in the personalization of dietary recommendations and therapeutic interventions for individuals with diabetes.