Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test

Mustafa, Mamat and Kamariah Noor, Ab Kahar (2014) Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test. Applied Mathematical Sciences, 8 (66). pp. 3273-3281. ISSN 13147552 [P]

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Abstract

The minimal model of glucose and insulin plasma levels is commonly used to analyze the results of glucose tolerance tests in humans. In this paper, a mathematical model for describing the glucose infusion rate was introduced. The minimal model was used to study a few sets of published data including healthy humans and type 2 diabetes. The glucose-insulin system as a dynamic integrated physiological system and generated the real optimized model parameters from the experimental data using the modified minimal model. The averaged R2 value between measured and calculated plasma concentrations wais 0.977, which indicates excellent agreement.

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