Modeling the physiological glucose-insulin system on normal and diabetic subjects.
This paper aims to present a mathematical model to describe the plasma glucose and insulin daily variations on normal and diabetic subjects. The proposed model consists of two delay differential equations (DDEs) where five adjustable parameters are used to characterize the respective dynamics and oscillation behavior of normal and diabetic subjects. Several clinical data tests demonstrate that the suggested model is practical to approach the daily-life glucose dynamics on normal, diabetic Type 1 and Type 2 subjects. Moreover, the corresponding parameters are fairly persuasive to identify the patients' conditions of physiological functions.
Chen
Cheng-Liang
CL
Department of Chemical Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, ROC. CCL@ntu.edu.tw
Tsai
Hong-Wen
HW
D003198:Computer Simulation; D003920:Diabetes Mellitus / Q000378:metabolism*; D004040:Dietary Carbohydrates / Q000378:metabolism*; D005947:Glucose / Q000378:metabolism*; D006801:Humans; D006943:Hyperglycemia / Q000378:metabolism*; D007328:Insulin / Q000378:metabolism*; D008657:Metabolic Clearance Rate; D008954:Models, Biological; D010179:Pancreas / Q000378:metabolism*
D004040:Dietary Carbohydrates; D007328:Insulin; D005947:Glucose