HIV Dynamics Under Antiretroviral Treatment with Interactivity

This manuscript presents a model for HIV dynamics of seropositive individuals under antiretroviral treatment described from fuzzy set theory by two different approaches considering interactivity: differential equation with interactive derivative and differential equation with Fréchet derivative. It...

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Detalles Bibliográficos
Autores principales: Laiate, Beatriz, Santo Pedro, Francielle, Esmi, Estevão, de Barros, Laécio Carvalho
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274727/
http://dx.doi.org/10.1007/978-3-030-50153-2_16
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author Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
author_facet Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
author_sort Laiate, Beatriz
collection PubMed
description This manuscript presents a model for HIV dynamics of seropositive individuals under antiretroviral treatment described from fuzzy set theory by two different approaches considering interactivity: differential equation with interactive derivative and differential equation with Fréchet derivative. It also establishes an identity between interactive derivative and fuzzy Fréchet derivative. With this identity, we establish when the solutions of the two differential equations coincide. Lastly, we present biological interpretations for both cases.
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spelling pubmed-72747272020-06-08 HIV Dynamics Under Antiretroviral Treatment with Interactivity Laiate, Beatriz Santo Pedro, Francielle Esmi, Estevão de Barros, Laécio Carvalho Information Processing and Management of Uncertainty in Knowledge-Based Systems Article This manuscript presents a model for HIV dynamics of seropositive individuals under antiretroviral treatment described from fuzzy set theory by two different approaches considering interactivity: differential equation with interactive derivative and differential equation with Fréchet derivative. It also establishes an identity between interactive derivative and fuzzy Fréchet derivative. With this identity, we establish when the solutions of the two differential equations coincide. Lastly, we present biological interpretations for both cases. 2020-05-16 /pmc/articles/PMC7274727/ http://dx.doi.org/10.1007/978-3-030-50153-2_16 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
HIV Dynamics Under Antiretroviral Treatment with Interactivity
title HIV Dynamics Under Antiretroviral Treatment with Interactivity
title_full HIV Dynamics Under Antiretroviral Treatment with Interactivity
title_fullStr HIV Dynamics Under Antiretroviral Treatment with Interactivity
title_full_unstemmed HIV Dynamics Under Antiretroviral Treatment with Interactivity
title_short HIV Dynamics Under Antiretroviral Treatment with Interactivity
title_sort hiv dynamics under antiretroviral treatment with interactivity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274727/
http://dx.doi.org/10.1007/978-3-030-50153-2_16
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AT debarroslaeciocarvalho hivdynamicsunderantiretroviraltreatmentwithinteractivity

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