Modeling the physiological glucose-insulin system on normal and diabetic subjects

Authors:
Cheng-Liang Chen;Hong-Wen Tsai
Affiliations:
Department of Chemical Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, ROC;Department of Chemical Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, ROC
Venue:
Computer Methods and Programs in Biomedicine
Year:
2010

Citing 1
Cited 1

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Applied Numerical Mathematics

Glucose-insulin regulation model with subcutaneous insulin injection and evaluation using diabetic inpatients data

Computer Methods and Programs in Biomedicine

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Abstract

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.