A mathematical model of weight change with adaptation
As obesity and its related health problems grow around the world, efforts to control and manage weight is increasing in importance. It is well known that altering and maintaining weight is problematic and this has led to specific studies trying to determine the cause of the difficulty. Recent rese...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.873 |
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| author | Diana M. Thomas Ashley Ciesla James A. Levine John G. Stevens Corby K. Martin |
| author_facet | Diana M. Thomas Ashley Ciesla James A. Levine John G. Stevens Corby K. Martin |
| author_sort | Diana M. Thomas |
| collection | DOAJ |
| description | As obesity and its related health problems grow around the world, efforts to control and manage weight is increasing in importance. It is well known that altering and maintaining weight is problematic and this has led to specific studies trying to determine the cause of the difficulty. Recent research has identified that the body reacts to forced weight change by adapting individual total energy expenditure. Key factors are an adaptation of resting metabolic rate, non-exercise activity thermogenesis and dietary induced thermogenesis. We develop a differential equation model based on the first law of thermodynamics that incorporates all three adjustments along with natural age related reduction of the resting metabolic rate. Forward time simulations of the model compare well with mean data in both overfeeding and calorie restriction studies. |
| format | Article |
| id | doaj-art-bdbd5eed91234aa2b2e56fb30677636d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-bdbd5eed91234aa2b2e56fb30677636d2025-01-24T02:00:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-08-016487388710.3934/mbe.2009.6.873A mathematical model of weight change with adaptationDiana M. Thomas0Ashley Ciesla1James A. Levine2John G. Stevens3Corby K. Martin4Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043As obesity and its related health problems grow around the world, efforts to control and manage weight is increasing in importance. It is well known that altering and maintaining weight is problematic and this has led to specific studies trying to determine the cause of the difficulty. Recent research has identified that the body reacts to forced weight change by adapting individual total energy expenditure. Key factors are an adaptation of resting metabolic rate, non-exercise activity thermogenesis and dietary induced thermogenesis. We develop a differential equation model based on the first law of thermodynamics that incorporates all three adjustments along with natural age related reduction of the resting metabolic rate. Forward time simulations of the model compare well with mean data in both overfeeding and calorie restriction studies.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.873metabolic adaptationenergy balance equationnon-exercise activity thermogenesis. |
| spellingShingle | Diana M. Thomas Ashley Ciesla James A. Levine John G. Stevens Corby K. Martin A mathematical model of weight change with adaptation Mathematical Biosciences and Engineering metabolic adaptation energy balance equation non-exercise activity thermogenesis. |
| title | A mathematical model of weight change with adaptation |
| title_full | A mathematical model of weight change with adaptation |
| title_fullStr | A mathematical model of weight change with adaptation |
| title_full_unstemmed | A mathematical model of weight change with adaptation |
| title_short | A mathematical model of weight change with adaptation |
| title_sort | mathematical model of weight change with adaptation |
| topic | metabolic adaptation energy balance equation non-exercise activity thermogenesis. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.873 |
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