A mathematical model of the intravenous glucose tolerance test illustrating an n-order decay rate of plasma insulin in healthy and type 2 diabetic subjects

4th International Conference on Science, Technology and Interdisciplinary Research

工业技术（总论）;自然科学（总论）

Kartono, A.^1 ; Nurullaeli^2 ; Syafutra, H.^1 ; Wahyudi, S.T.^1 ; Sumaryada, T.^1

Department of Physics, Faculty of Mathematical and Natural Sciences, Bogor Agricultural University (IPB), Bogor

16680, Indonesia^1

Program Studi Teknik Informatika, Fakultas Teknik, Matematika Dan Ilmu Pengetahuan Alam, Universitas Indraprasta PGRI, Jakarta Timur, Indonesia^2

关键词: Coefficient of determination;    Healthy subjects;    Insulin infusion rate;    Insulin sensitivity;    Intravenous glucose tolerance test;    Normal glucose tolerances;    Plasma concentration;    Type-2 diabetes;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/532/1/012016/pdf
DOI  :  10.1088/1757-899X/532/1/012016

来源: IOP

【 摘 要 】

The most accurate considered method to determine the insulin sensitivity (SI ) and glucose effectiveness (SG ), that is the intravenous glucose tolerance test (IVGTT). In this study, the modified minimal model with additions of an n-order decay rate of plasma insulin function and an insulin infusion rate function is introduced. This modified model enables estimation of two main feature of type 2 diabetes (T2D) diagnostic, that is the index of SI and SG . In this paper, the modified model has been was used to study four cases published IVGTT data, including normal glucose tolerance (NGT) or healthy subjects and T2D subjects with different types of insulin infusion rates. This modified model study has been shown that in NGT subjects had higher SI and SG index than T2D subjects. The R 2 value, the coefficient of determination of between measured and calculated plasma concentrations of these four cases, is above 0.95, which indicates good agreement.