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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| Format: | Article |
| Language: | English |
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AIMS Press
2016-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| 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. |
| format | Article |
| id | doaj-art-be6218089dc84dee8921ac0ba2f1d573 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2016-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| 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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