On a Reaction-Diffusion-Advection Glucose Metabolism Model

Source abstract

Abstract. A reaction-diffusion-advection glucose metabolism model is proposed to describe the spatiotemporal behaviors of glucose in the pancreatic islet. The global existence and boundedness of the solution to the model are proved, and the existence and uniqueness of the positive steady state are established. Spatiotemporal sensitivity index and correlation index are proposed to identify high-impact physiological factors and illustrate parameter interdependency. Additionally, different stages of glucose metabolism such as hyperinsulinemia, hypoglycemia, euglycemia, and diabetes are simulated to demonstrate the system’s dynamics under varying physiological conditions. These findings provide valuable guidance in the therapeutic process, aiding in the development of effective interventions.