Optimal nutritional intake for fetal growth
The regular nutritional intake of an expectant mother clearly affects the weight development of the fetus. Assuming the growth of the fetus follows a deterministic growth law, like a logistic equation, albeit dependent on the nutritional intake, the ideal solution is usually determined by the birth-...
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| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.723 |
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| author | Chanakarn Kiataramkul Graeme Wake Alona Ben-Tal Yongwimon Lenbury |
| author_facet | Chanakarn Kiataramkul Graeme Wake Alona Ben-Tal Yongwimon Lenbury |
| author_sort | Chanakarn Kiataramkul |
| collection | DOAJ |
| description | The regular nutritional intake of an expectant mother clearly affects the weight development of the fetus. Assuming the growth of the fetus follows a deterministic growth law, like a logistic equation, albeit dependent on the nutritional intake, the ideal solution is usually determined by the birth-weight being pre-assigned, for example, as a percentage of the mother's average weight. This problem can then be specified as an optimal control problem with the daily intake as the control, which appears in a Michaelis-Menten relationship, for which there are well-developed procedures to follow. The best solution is determined by requiring minimum total intake under which the preassigned birth weight is reached. The algorithm has been generalized to the case where the fetal weight depends in a detailed way on the cumulative intake, suitably discounted according to the history. The optimality system is derived and then solved numerically using an iterative method for the specific values of parameter. The procedure is generic and can be adapted to any growth law and any parameterisation obtained by the detailed physiology. |
| format | Article |
| id | doaj-art-1cd127ba3e9441e1b1a621666d248e49 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-1cd127ba3e9441e1b1a621666d248e492025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018372373210.3934/mbe.2011.8.723Optimal nutritional intake for fetal growthChanakarn Kiataramkul0Graeme Wake1Alona Ben-Tal2Yongwimon Lenbury3Department of Mathematics, Mahidol University, Bangkok 10400, Thailand & National Research Centre for Growth and Development, AucklandDepartment of Mathematics, Mahidol University, Bangkok 10400, Thailand & National Research Centre for Growth and Development, AucklandDepartment of Mathematics, Mahidol University, Bangkok 10400, Thailand & National Research Centre for Growth and Development, AucklandDepartment of Mathematics, Mahidol University, Bangkok 10400, Thailand & National Research Centre for Growth and Development, AucklandThe regular nutritional intake of an expectant mother clearly affects the weight development of the fetus. Assuming the growth of the fetus follows a deterministic growth law, like a logistic equation, albeit dependent on the nutritional intake, the ideal solution is usually determined by the birth-weight being pre-assigned, for example, as a percentage of the mother's average weight. This problem can then be specified as an optimal control problem with the daily intake as the control, which appears in a Michaelis-Menten relationship, for which there are well-developed procedures to follow. The best solution is determined by requiring minimum total intake under which the preassigned birth weight is reached. The algorithm has been generalized to the case where the fetal weight depends in a detailed way on the cumulative intake, suitably discounted according to the history. The optimality system is derived and then solved numerically using an iterative method for the specific values of parameter. The procedure is generic and can be adapted to any growth law and any parameterisation obtained by the detailed physiology.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.723controlled nutritiondynamical system.logistic |
| spellingShingle | Chanakarn Kiataramkul Graeme Wake Alona Ben-Tal Yongwimon Lenbury Optimal nutritional intake for fetal growth Mathematical Biosciences and Engineering controlled nutrition dynamical system. logistic |
| title | Optimal nutritional intake for fetal growth |
| title_full | Optimal nutritional intake for fetal growth |
| title_fullStr | Optimal nutritional intake for fetal growth |
| title_full_unstemmed | Optimal nutritional intake for fetal growth |
| title_short | Optimal nutritional intake for fetal growth |
| title_sort | optimal nutritional intake for fetal growth |
| topic | controlled nutrition dynamical system. logistic |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.723 |
| work_keys_str_mv | AT chanakarnkiataramkul optimalnutritionalintakeforfetalgrowth AT graemewake optimalnutritionalintakeforfetalgrowth AT alonabental optimalnutritionalintakeforfetalgrowth AT yongwimonlenbury optimalnutritionalintakeforfetalgrowth |