A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.chaos.2021.111398 http://hdl.handle.net/11449/222574 |
Resumo: | This work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. Parameter estimations are made via two computational strategies to both classical and fractional models aiming to investigate the effects of Caputo fractional derivative. The real data are from HIV patients undergoing antiretroviral therapy in different immune responses. From a quality analysis proposal based on the intraclass correlation coefficient and mean absolute percentage error, combined with the numerical simulations, it was shown that the adopted methodology is a promising tool in the understanding of the HIV/T-CD4+ interaction. |
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Repositório Institucional da UNESP |
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A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategiesAntiretroviral therapyCaputo fractional derivativeFractional calculusHeat mapHuman immunodeficiency virusParameter estimationThis work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. Parameter estimations are made via two computational strategies to both classical and fractional models aiming to investigate the effects of Caputo fractional derivative. The real data are from HIV patients undergoing antiretroviral therapy in different immune responses. From a quality analysis proposal based on the intraclass correlation coefficient and mean absolute percentage error, combined with the numerical simulations, it was shown that the adopted methodology is a promising tool in the understanding of the HIV/T-CD4+ interaction.Federal Institute of Education Science and Technology of Amazonas (IFAM) Rua Santos DumontSão Paulo State University (UNESP) FMB Av. Prof. Montenegro s/n, Rubião JuniorSão Paulo State University (UNESP) IBB Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, Rubião JuniorUniversity of Campinas (UNICAMP), FT, Rua Paschoal Marmo, 1888São Paulo State University (UNESP), FC, Av. Eng. Luís Edmundo Carrijo Coube, 14-01São Paulo State University (UNESP) FMB Av. Prof. Montenegro s/n, Rubião JuniorSão Paulo State University (UNESP) IBB Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, Rubião JuniorSão Paulo State University (UNESP), FC, Av. Eng. Luís Edmundo Carrijo Coube, 14-01Rua Santos DumontUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Martinez, V. M.Barbosa, A. N. [UNESP]Mancera, P. F.A. [UNESP]Rodrigues, D. S.Camargo, R. F. [UNESP]2022-04-28T19:45:28Z2022-04-28T19:45:28Z2021-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.chaos.2021.111398Chaos, Solitons and Fractals, v. 152.0960-0779http://hdl.handle.net/11449/22257410.1016/j.chaos.2021.1113982-s2.0-85116457142Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaos, Solitons and Fractalsinfo:eu-repo/semantics/openAccess2022-04-28T19:45:28Zoai:repositorio.unesp.br:11449/222574Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:45:28Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
title |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
spellingShingle |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies Martinez, V. M. Antiretroviral therapy Caputo fractional derivative Fractional calculus Heat map Human immunodeficiency virus Parameter estimation |
title_short |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
title_full |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
title_fullStr |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
title_full_unstemmed |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
title_sort |
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies |
author |
Martinez, V. M. |
author_facet |
Martinez, V. M. Barbosa, A. N. [UNESP] Mancera, P. F.A. [UNESP] Rodrigues, D. S. Camargo, R. F. [UNESP] |
author_role |
author |
author2 |
Barbosa, A. N. [UNESP] Mancera, P. F.A. [UNESP] Rodrigues, D. S. Camargo, R. F. [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Rua Santos Dumont Universidade Estadual Paulista (UNESP) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Martinez, V. M. Barbosa, A. N. [UNESP] Mancera, P. F.A. [UNESP] Rodrigues, D. S. Camargo, R. F. [UNESP] |
dc.subject.por.fl_str_mv |
Antiretroviral therapy Caputo fractional derivative Fractional calculus Heat map Human immunodeficiency virus Parameter estimation |
topic |
Antiretroviral therapy Caputo fractional derivative Fractional calculus Heat map Human immunodeficiency virus Parameter estimation |
description |
This work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. Parameter estimations are made via two computational strategies to both classical and fractional models aiming to investigate the effects of Caputo fractional derivative. The real data are from HIV patients undergoing antiretroviral therapy in different immune responses. From a quality analysis proposal based on the intraclass correlation coefficient and mean absolute percentage error, combined with the numerical simulations, it was shown that the adopted methodology is a promising tool in the understanding of the HIV/T-CD4+ interaction. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-11-01 2022-04-28T19:45:28Z 2022-04-28T19:45:28Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.chaos.2021.111398 Chaos, Solitons and Fractals, v. 152. 0960-0779 http://hdl.handle.net/11449/222574 10.1016/j.chaos.2021.111398 2-s2.0-85116457142 |
url |
http://dx.doi.org/10.1016/j.chaos.2021.111398 http://hdl.handle.net/11449/222574 |
identifier_str_mv |
Chaos, Solitons and Fractals, v. 152. 0960-0779 10.1016/j.chaos.2021.111398 2-s2.0-85116457142 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Chaos, Solitons and Fractals |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1797789498074988544 |