Advanced Numerical Modeling and Simulation of Hydrogel‐Based Chemo Fluidic Oscillator for Enhanced Insulin Delivery System in Diabetes Treatment: A Comparative and Sensitivity Analysis

Abstract This work presents a numerical model of a chemo‐fluidic oscillator for controlled insulin delivery, utilizing the Euler‐Taylor‐Galerkin method. While advancements in automated insulin delivery systems, such as insulin pumps, have improved glucose management, these devices still rely on patient input. This leads to non‐optimal management of glucose levels and increases the risk of hypoglycemia or hyperglycemia. In contrast to traditional electronic sensors, chemo‐fluidic oscillators directly link chemical signals with fluidic control, offering a more integrated and responsive approach to diabetes management. The model describes the dynamics of a stimuli‐responsive hydrogel and its chemical transport behavior, enabling the automated release of insulin into the bloodstream without the need for patient intervention. The study compares various numerical methods, evaluating their stability and accuracy, both crucial for reliable results of the dynamic behavior of the oscillator. Stability prevents divergent results, while accuracy is vital to avoid errors that can lead to unsafe insulin dosing. Results indicate that the model is robust, making it well‐suited for advanced biomedical applications