An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics
A basic model highlighting the counter-regulatory roles of insulin and glucagon is proposed to start a series of models designed to explore continuous rein control and major aspects of glucose metabolism. The three-by-three dynamical system uses black boxes to model unit processes such as the depend...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Intercollegiate Biomathematics Alliance
2018-12-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2018.1429332 |
| _version_ | 1818970714161545216 |
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| author | Caleb L. Adams D. Glenn Lasseigne |
| author_facet | Caleb L. Adams D. Glenn Lasseigne |
| author_sort | Caleb L. Adams |
| collection | DOAJ |
| description | A basic model highlighting the counter-regulatory roles of insulin and glucagon is proposed to start a series of models designed to explore continuous rein control and major aspects of glucose metabolism. The three-by-three dynamical system uses black boxes to model unit processes such as the dependencies of insulin secretion rate and the glucagon secretion rate on blood glucose concentration. The dependency of basal conditions on insulin resistance and any defects in insulin or glucagon secretion are shown. Since over-production of hepatic glucose exists early in the history of diabetes, it is important that mathematical models should account for this effect by inclusion of the dynamical equation governing glucagon concentration as this illustrative model does. All solutions are consistent with gross features of the metabolic process. The model is examined for explicit and implicit assumptions affecting its validity which determines that the first extension to the model should account for glucose storage and the release of stored glucose. |
| first_indexed | 2024-12-20T14:40:52Z |
| format | Article |
| id | doaj.art-867b909ea309437e9c9c276f625156ee |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-12-20T14:40:52Z |
| publishDate | 2018-12-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-867b909ea309437e9c9c276f625156ee2022-12-21T19:37:19ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672018-12-0151709010.1080/23737867.2018.14293321429332An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamicsCaleb L. Adams0D. Glenn Lasseigne1Radford UniversityOld Dominion UniversityA basic model highlighting the counter-regulatory roles of insulin and glucagon is proposed to start a series of models designed to explore continuous rein control and major aspects of glucose metabolism. The three-by-three dynamical system uses black boxes to model unit processes such as the dependencies of insulin secretion rate and the glucagon secretion rate on blood glucose concentration. The dependency of basal conditions on insulin resistance and any defects in insulin or glucagon secretion are shown. Since over-production of hepatic glucose exists early in the history of diabetes, it is important that mathematical models should account for this effect by inclusion of the dynamical equation governing glucagon concentration as this illustrative model does. All solutions are consistent with gross features of the metabolic process. The model is examined for explicit and implicit assumptions affecting its validity which determines that the first extension to the model should account for glucose storage and the release of stored glucose.http://dx.doi.org/10.1080/23737867.2018.1429332Glucose metabolismbasal conditionscontinuous rein control |
| spellingShingle | Caleb L. Adams D. Glenn Lasseigne An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics Letters in Biomathematics Glucose metabolism basal conditions continuous rein control |
| title | An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics |
| title_full | An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics |
| title_fullStr | An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics |
| title_full_unstemmed | An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics |
| title_short | An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics |
| title_sort | extensible mathematical model of glucose metabolism part i the basic glucose insulin glucagon model basal conditions and basic dynamics |
| topic | Glucose metabolism basal conditions continuous rein control |
| url | http://dx.doi.org/10.1080/23737867.2018.1429332 |
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