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

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internalnotes 1. J. Li, M. Wang, A.D. Gaetano, P. Palumbo, S. Panunzi, The range of time delay and the global stability of the equilibrium for an IVGTT model, Math. Biosci. 235, 128-137 (2001). 2. Y. Zheng and M. Zhao, Modified minimal model using a single-step fitting process for the intravenous glucose tolerance test in Type 2 diabetes and healthy humans Comput. Meth. Prog. Biomed. 79, 73-79 (2005). 3. Kamariah Noor Binti Ab Kahar, Modified Minimal Model For Effect Of Exercise On Insulin Sensitivity And Glugose Effectiveness In Type 2 Diabetes And Healthy Human, M.S Thesis, Universiti Malaysia Terengganu, 2013. 4. A.D. Gaetano and O. Arino, Mathematical modeling of the intravenous glucose tolerance test J. Math. Biol. 40, 136-146 (2000).
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spelling 10945 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10945 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal image/jpeg inches 96 96 627 2024-10-04 15:42 1339 1339x627 5090-01-FH02-FIK-14-00738.jpg UniSZA Private Access Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test Applied Mathematical Sciences 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. 8 66 3273-3281 1. J. Li, M. Wang, A.D. Gaetano, P. Palumbo, S. Panunzi, The range of time delay and the global stability of the equilibrium for an IVGTT model, Math. Biosci. 235, 128-137 (2001). 2. Y. Zheng and M. Zhao, Modified minimal model using a single-step fitting process for the intravenous glucose tolerance test in Type 2 diabetes and healthy humans Comput. Meth. Prog. Biomed. 79, 73-79 (2005). 3. Kamariah Noor Binti Ab Kahar, Modified Minimal Model For Effect Of Exercise On Insulin Sensitivity And Glugose Effectiveness In Type 2 Diabetes And Healthy Human, M.S Thesis, Universiti Malaysia Terengganu, 2013. 4. A.D. Gaetano and O. Arino, Mathematical modeling of the intravenous glucose tolerance test J. Math. Biol. 40, 136-146 (2000).
spellingShingle Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
summary 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.
title Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
title_full Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
title_fullStr Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
title_full_unstemmed Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
title_short Minimal modeling of glucose-insulin interactions: In the intravenous glucose tolerance test
title_sort minimal modeling of glucose-insulin interactions: in the intravenous glucose tolerance test