Development of a computational model of glucose toxicity in the progression of diabetes mellitus

Diabetes mellitus is a disease characterized by a range of metabolic complications involving an individual's blood glucose levels, and its main regulator, insulin. These complications can vary largely from person to person depending on their current biophysical state. Biomedical research day-by...

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Main Authors: Danilo T. Pérez-Rivera, Verónica L. Torres-Torres, Abraham E. Torres-Colón, Mayteé Cruz-Aponte
Format: Article
Language:English
Published: AIMS Press 2016-06-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2016029
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author Danilo T. Pérez-Rivera
Verónica L. Torres-Torres
Abraham E. Torres-Colón
Mayteé Cruz-Aponte
author_facet Danilo T. Pérez-Rivera
Verónica L. Torres-Torres
Abraham E. Torres-Colón
Mayteé Cruz-Aponte
author_sort Danilo T. Pérez-Rivera
collection DOAJ
description Diabetes mellitus is a disease characterized by a range of metabolic complications involving an individual's blood glucose levels, and its main regulator, insulin. These complications can vary largely from person to person depending on their current biophysical state. Biomedical research day-by-day makes strides to impact the lives of patients of a variety of diseases, including diabetes. One large stride that is being made is the generation of techniques to assist physicians to ``personalize medicine''.From available physiological data, biological understanding of the system, and dimensional analysis, a differential equation-based mathematical model was built in a sequential matter, to be able to elucidate clearly how each parameter correlates to the patient's current physiological state. We developed a simple mathematical model that accurately simulates the dynamics between glucose, insulin, and pancreatic $\beta$-cells throughout disease progression with constraints to maintain biological relevance. The current framework is clearly capable of tracking the patient's current progress through the disease, dependent on factors such as latent insulin resistance or an attrite $\beta$-cell population. Further interests would be to develop tools that allow the direct and feasible testing of how effective a given plan of treatment would be at returning the patient to a desirable biophysical state.
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issn 1551-0018
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publisher AIMS Press
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series Mathematical Biosciences and Engineering
spelling doaj-art-be6218089dc84dee8921ac0ba2f1d5732025-01-24T02:36:57ZengAIMS PressMathematical Biosciences and Engineering1551-00182016-06-011351043105810.3934/mbe.2016029Development of a computational model of glucose toxicity in the progression of diabetes mellitusDanilo T. Pérez-Rivera0Verónica L. Torres-Torres1Abraham E. Torres-Colón2Mayteé Cruz-Aponte3Department of Chemistry, University of Puerto Rico at Cayey, Cayey, PR 00736-9997Department of Natural Sciences, University of Puerto Rico at Cayey, Cayey, PR 00736-9997Department of Natural Sciences, University of Puerto Rico at Cayey, Cayey, PR 00736-9997Department of Mathematics - Physics, University of Puerto Rico at Cayey, Cayey, PR 00736-9997Diabetes mellitus is a disease characterized by a range of metabolic complications involving an individual's blood glucose levels, and its main regulator, insulin. These complications can vary largely from person to person depending on their current biophysical state. Biomedical research day-by-day makes strides to impact the lives of patients of a variety of diseases, including diabetes. One large stride that is being made is the generation of techniques to assist physicians to ``personalize medicine''.From available physiological data, biological understanding of the system, and dimensional analysis, a differential equation-based mathematical model was built in a sequential matter, to be able to elucidate clearly how each parameter correlates to the patient's current physiological state. We developed a simple mathematical model that accurately simulates the dynamics between glucose, insulin, and pancreatic $\beta$-cells throughout disease progression with constraints to maintain biological relevance. The current framework is clearly capable of tracking the patient's current progress through the disease, dependent on factors such as latent insulin resistance or an attrite $\beta$-cell population. Further interests would be to develop tools that allow the direct and feasible testing of how effective a given plan of treatment would be at returning the patient to a desirable biophysical state.https://www.aimspress.com/article/doi/10.3934/mbe.2016029$\beta$-cellsglucose toxicitymathematical modelingdiabetes mellituscomputational modeldynamical systemsmathematical biology.
spellingShingle Danilo T. Pérez-Rivera
Verónica L. Torres-Torres
Abraham E. Torres-Colón
Mayteé Cruz-Aponte
Development of a computational model of glucose toxicity in the progression of diabetes mellitus
Mathematical Biosciences and Engineering
$\beta$-cells
glucose toxicity
mathematical modeling
diabetes mellitus
computational model
dynamical systems
mathematical biology.
title Development of a computational model of glucose toxicity in the progression of diabetes mellitus
title_full Development of a computational model of glucose toxicity in the progression of diabetes mellitus
title_fullStr Development of a computational model of glucose toxicity in the progression of diabetes mellitus
title_full_unstemmed Development of a computational model of glucose toxicity in the progression of diabetes mellitus
title_short Development of a computational model of glucose toxicity in the progression of diabetes mellitus
title_sort development of a computational model of glucose toxicity in the progression of diabetes mellitus
topic $\beta$-cells
glucose toxicity
mathematical modeling
diabetes mellitus
computational model
dynamical systems
mathematical biology.
url https://www.aimspress.com/article/doi/10.3934/mbe.2016029
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AT abrahametorrescolon developmentofacomputationalmodelofglucosetoxicityintheprogressionofdiabetesmellitus
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