Optimal control strategy for the effects of hard water consumption on kidney-related diseases

OBJECTIVES : We study the optimal control strategy for the effects of hard water consumption on kidney-related diseases. The mathematical model has been formulated and studied to gain insights on the optimal control strategy on the effects of hard-water consumption on kidney-related diseases. The po...

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Autores principales: Ndii, Meksianis Z., Berkanis, Fransiska R., Tambaru, David, Lobo, Maria, Ariyanto, Djahi, Bertha S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2020
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7137219/
https://www.ncbi.nlm.nih.gov/pubmed/32252815
http://dx.doi.org/10.1186/s13104-020-05043-z
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author Ndii, Meksianis Z.
Berkanis, Fransiska R.
Tambaru, David
Lobo, Maria
Ariyanto
Djahi, Bertha S.
author_facet Ndii, Meksianis Z.
Berkanis, Fransiska R.
Tambaru, David
Lobo, Maria
Ariyanto
Djahi, Bertha S.
author_sort Ndii, Meksianis Z.
collection PubMed
description OBJECTIVES : We study the optimal control strategy for the effects of hard water consumption on kidney-related diseases. The mathematical model has been formulated and studied to gain insights on the optimal control strategy on the effects of hard-water consumption on kidney-related diseases. The positivity and boundedness of the solutions are determined. A global sensitivity analysis has been performed and the numerical solutions have been carried out. RESULTS : A global sensitivity analysis shows that the control on water is an important parameter. This can reduce the proportion of individuals with kidney-dysfunction and hence reduces the proportion of individuals with kidney-related diseases. Furthermore, the numerical solutions show that with the optimal control, the proportion of individuals with kidney-related diseases can be minimised.
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spelling pubmed-71372192020-04-11 Optimal control strategy for the effects of hard water consumption on kidney-related diseases Ndii, Meksianis Z. Berkanis, Fransiska R. Tambaru, David Lobo, Maria Ariyanto Djahi, Bertha S. BMC Res Notes Research Note OBJECTIVES : We study the optimal control strategy for the effects of hard water consumption on kidney-related diseases. The mathematical model has been formulated and studied to gain insights on the optimal control strategy on the effects of hard-water consumption on kidney-related diseases. The positivity and boundedness of the solutions are determined. A global sensitivity analysis has been performed and the numerical solutions have been carried out. RESULTS : A global sensitivity analysis shows that the control on water is an important parameter. This can reduce the proportion of individuals with kidney-dysfunction and hence reduces the proportion of individuals with kidney-related diseases. Furthermore, the numerical solutions show that with the optimal control, the proportion of individuals with kidney-related diseases can be minimised. BioMed Central 2020-04-06 /pmc/articles/PMC7137219/ /pubmed/32252815 http://dx.doi.org/10.1186/s13104-020-05043-z Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Ndii, Meksianis Z.
Berkanis, Fransiska R.
Tambaru, David
Lobo, Maria
Ariyanto
Djahi, Bertha S.
Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title_full Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title_fullStr Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title_full_unstemmed Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title_short Optimal control strategy for the effects of hard water consumption on kidney-related diseases
title_sort optimal control strategy for the effects of hard water consumption on kidney-related diseases
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7137219/
https://www.ncbi.nlm.nih.gov/pubmed/32252815
http://dx.doi.org/10.1186/s13104-020-05043-z
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