Modeling the Physiological Glucose-insulin System in Normal Subjects and Diabetic Patients

摘要

The aim of this paper is to develop a comprehensive mathematical model for describing the daily-life functional behavior of normal and diabetic persons on plasma glucose and insulin concentrations. Though various models have been proposed to simulate the short-term (a variety of intravenous glucose or insulin injection) glucose-insulin dynamics such as the one or two compartments minimal model, we extend to construct a delay differential equations (DDEs) model with few specific adjustable parameters based on the human physiology of the glucose-insulin metabolic system. The DDEs model is able to represent the dynamics and oscillation behavior in normal and diabetic persons associated with long-term clinical data. The proposed model is not only with simple structure but also with physiological meanings. The adjustable parameters are defined as the major individual characteristics of human by employing the endocrine knowledge in glucose homeostasis. With the optimized results by parametric estimations, the suggest DDEs model has the capability to approach the clinical data of normal subjects, diabetic Type 1 and Type 2 patients.