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Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries

Optimal control theory can be a useful tool to identify the best strategies for the management of infectious diseases. In most of the applications to disease control with ordinary differential equations, the objective functional to be optimized is formulated in monetary terms as the sum of intervent...

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Autores principales: Igoe, Morganne, Casagrandi, Renato, Gatto, Marino, Hoover, Christopher M., Mari, Lorenzo, Ngonghala, Calistus N., Remais, Justin V., Sanchirico, James N., Sokolow, Susanne H., Lenhart, Suzanne, de Leo, Giulio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10008208/
https://www.ncbi.nlm.nih.gov/pubmed/36907932
http://dx.doi.org/10.1007/s11538-023-01137-4
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author Igoe, Morganne
Casagrandi, Renato
Gatto, Marino
Hoover, Christopher M.
Mari, Lorenzo
Ngonghala, Calistus N.
Remais, Justin V.
Sanchirico, James N.
Sokolow, Susanne H.
Lenhart, Suzanne
de Leo, Giulio
author_facet Igoe, Morganne
Casagrandi, Renato
Gatto, Marino
Hoover, Christopher M.
Mari, Lorenzo
Ngonghala, Calistus N.
Remais, Justin V.
Sanchirico, James N.
Sokolow, Susanne H.
Lenhart, Suzanne
de Leo, Giulio
author_sort Igoe, Morganne
collection PubMed
description Optimal control theory can be a useful tool to identify the best strategies for the management of infectious diseases. In most of the applications to disease control with ordinary differential equations, the objective functional to be optimized is formulated in monetary terms as the sum of intervention costs and the cost associated with the burden of disease. We present alternate formulations that express epidemiological outcomes via health metrics and reframe the problem to include features such as budget constraints and epidemiological targets. These alternate formulations are illustrated with a compartmental cholera model. The alternate formulations permit us to better explore the sensitivity of the optimal control solutions to changes in available budget or the desired epidemiological target. We also discuss some limitations of comprehensive cost assessment in epidemiology.
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spelling pubmed-100082082023-03-13 Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries Igoe, Morganne Casagrandi, Renato Gatto, Marino Hoover, Christopher M. Mari, Lorenzo Ngonghala, Calistus N. Remais, Justin V. Sanchirico, James N. Sokolow, Susanne H. Lenhart, Suzanne de Leo, Giulio Bull Math Biol Perspectives Optimal control theory can be a useful tool to identify the best strategies for the management of infectious diseases. In most of the applications to disease control with ordinary differential equations, the objective functional to be optimized is formulated in monetary terms as the sum of intervention costs and the cost associated with the burden of disease. We present alternate formulations that express epidemiological outcomes via health metrics and reframe the problem to include features such as budget constraints and epidemiological targets. These alternate formulations are illustrated with a compartmental cholera model. The alternate formulations permit us to better explore the sensitivity of the optimal control solutions to changes in available budget or the desired epidemiological target. We also discuss some limitations of comprehensive cost assessment in epidemiology. Springer US 2023-03-12 2023 /pmc/articles/PMC10008208/ /pubmed/36907932 http://dx.doi.org/10.1007/s11538-023-01137-4 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Perspectives
Igoe, Morganne
Casagrandi, Renato
Gatto, Marino
Hoover, Christopher M.
Mari, Lorenzo
Ngonghala, Calistus N.
Remais, Justin V.
Sanchirico, James N.
Sokolow, Susanne H.
Lenhart, Suzanne
de Leo, Giulio
Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title_full Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title_fullStr Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title_full_unstemmed Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title_short Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries
title_sort reframing optimal control problems for infectious disease management in low-income countries
topic Perspectives
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10008208/
https://www.ncbi.nlm.nih.gov/pubmed/36907932
http://dx.doi.org/10.1007/s11538-023-01137-4
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