Comparative study of some numerical schemes for a fractional order model of HIV infection treatment

Autores
Ferrari, Alberto José; Lara, Luis Pedro; Olguin, Mariela Carina; Santillan Marcus, Eduardo Adrian
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A fractional order mathematical model that already exists in the literature, was considered. This model was established to study the effects of medicinal treatment in people infected with the human immunodeficiency virus (HIV). The importance of this study is that the model evaluates, among other parameters, the density of healthy and HIV-infected CD$4^+$ T cells. These data are very necessary for the subject infected by the virus given the effects that an antiretroviral treatment causes in it. The objective of this work is to consider several numerical schemes that involve fractional derivatives in order to compare their behaviors and to obtain a good approximation of the mentioned model solution. Convergence of these schemes will be studied as well as sensitivity with respect to the variation of the parameters eta (drug efficacy) and alpha (fractional derivative order). Furthermore, through the collection of medical records of people living with HIV, it is intended to determine the optimal fractional derivative order for the model and to compare it with the classical model.
Fil: Ferrari, Alberto José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
Fil: Lara, Luis Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Olguin, Mariela Carina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
Fil: Santillan Marcus, Eduardo Adrian. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
Materia
FRACTIONAL CALCULUS
HIV
NUMERICAL SCHEMES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/221847
Acceder
id CONICETDig_086f5917117d72cfc0a535d08ae35523
oai_identifier_str oai:ri.conicet.gov.ar:11336/221847
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Comparative study of some numerical schemes for a fractional order model of HIV infection treatmentFerrari, Alberto JoséLara, Luis PedroOlguin, Mariela CarinaSantillan Marcus, Eduardo AdrianFRACTIONAL CALCULUSHIVNUMERICAL SCHEMEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A fractional order mathematical model that already exists in the literature, was considered. This model was established to study the effects of medicinal treatment in people infected with the human immunodeficiency virus (HIV). The importance of this study is that the model evaluates, among other parameters, the density of healthy and HIV-infected CD$4^+$ T cells. These data are very necessary for the subject infected by the virus given the effects that an antiretroviral treatment causes in it. The objective of this work is to consider several numerical schemes that involve fractional derivatives in order to compare their behaviors and to obtain a good approximation of the mentioned model solution. Convergence of these schemes will be studied as well as sensitivity with respect to the variation of the parameters eta (drug efficacy) and alpha (fractional derivative order). Furthermore, through the collection of medical records of people living with HIV, it is intended to determine the optimal fractional derivative order for the model and to compare it with the classical model.Fil: Ferrari, Alberto José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; ArgentinaFil: Lara, Luis Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Olguin, Mariela Carina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; ArgentinaFil: Santillan Marcus, Eduardo Adrian. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; ArgentinaSociedade Brasileira de Matemática Aplicada e Computacional2022-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/221847Ferrari, Alberto José; Lara, Luis Pedro; Olguin, Mariela Carina; Santillan Marcus, Eduardo Adrian; Comparative study of some numerical schemes for a fractional order model of HIV infection treatment; Sociedade Brasileira de Matemática Aplicada e Computacional; Trends in Computational and Applied Mathematics; 23; 4; 3-2022; 607-6232676-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://tcam.sbmac.org.br/tema/article/view/1634info:eu-repo/semantics/altIdentifier/doi/10.5540/tcam.2022.023.04.00607info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:49:49Zoai:ri.conicet.gov.ar:11336/221847instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:49:49.337CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
title Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
spellingShingle Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
Ferrari, Alberto José
FRACTIONAL CALCULUS
HIV
NUMERICAL SCHEMES
title_short Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
title_full Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
title_fullStr Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
title_full_unstemmed Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
title_sort Comparative study of some numerical schemes for a fractional order model of HIV infection treatment
dc.creator.none.fl_str_mv Ferrari, Alberto José
Lara, Luis Pedro
Olguin, Mariela Carina
Santillan Marcus, Eduardo Adrian
author Ferrari, Alberto José
author_facet Ferrari, Alberto José
Lara, Luis Pedro
Olguin, Mariela Carina
Santillan Marcus, Eduardo Adrian
author_role author
author2 Lara, Luis Pedro
Olguin, Mariela Carina
Santillan Marcus, Eduardo Adrian
author2_role author
author
author
dc.subject.none.fl_str_mv FRACTIONAL CALCULUS
HIV
NUMERICAL SCHEMES
topic FRACTIONAL CALCULUS
HIV
NUMERICAL SCHEMES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A fractional order mathematical model that already exists in the literature, was considered. This model was established to study the effects of medicinal treatment in people infected with the human immunodeficiency virus (HIV). The importance of this study is that the model evaluates, among other parameters, the density of healthy and HIV-infected CD$4^+$ T cells. These data are very necessary for the subject infected by the virus given the effects that an antiretroviral treatment causes in it. The objective of this work is to consider several numerical schemes that involve fractional derivatives in order to compare their behaviors and to obtain a good approximation of the mentioned model solution. Convergence of these schemes will be studied as well as sensitivity with respect to the variation of the parameters eta (drug efficacy) and alpha (fractional derivative order). Furthermore, through the collection of medical records of people living with HIV, it is intended to determine the optimal fractional derivative order for the model and to compare it with the classical model.
Fil: Ferrari, Alberto José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
Fil: Lara, Luis Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Olguin, Mariela Carina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
Fil: Santillan Marcus, Eduardo Adrian. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Formación Básica; Argentina
description A fractional order mathematical model that already exists in the literature, was considered. This model was established to study the effects of medicinal treatment in people infected with the human immunodeficiency virus (HIV). The importance of this study is that the model evaluates, among other parameters, the density of healthy and HIV-infected CD$4^+$ T cells. These data are very necessary for the subject infected by the virus given the effects that an antiretroviral treatment causes in it. The objective of this work is to consider several numerical schemes that involve fractional derivatives in order to compare their behaviors and to obtain a good approximation of the mentioned model solution. Convergence of these schemes will be studied as well as sensitivity with respect to the variation of the parameters eta (drug efficacy) and alpha (fractional derivative order). Furthermore, through the collection of medical records of people living with HIV, it is intended to determine the optimal fractional derivative order for the model and to compare it with the classical model.
publishDate 2022
dc.date.none.fl_str_mv 2022-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/221847
Ferrari, Alberto José; Lara, Luis Pedro; Olguin, Mariela Carina; Santillan Marcus, Eduardo Adrian; Comparative study of some numerical schemes for a fractional order model of HIV infection treatment; Sociedade Brasileira de Matemática Aplicada e Computacional; Trends in Computational and Applied Mathematics; 23; 4; 3-2022; 607-623
2676-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/221847
identifier_str_mv Ferrari, Alberto José; Lara, Luis Pedro; Olguin, Mariela Carina; Santillan Marcus, Eduardo Adrian; Comparative study of some numerical schemes for a fractional order model of HIV infection treatment; Sociedade Brasileira de Matemática Aplicada e Computacional; Trends in Computational and Applied Mathematics; 23; 4; 3-2022; 607-623
2676-0029
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://tcam.sbmac.org.br/tema/article/view/1634
info:eu-repo/semantics/altIdentifier/doi/10.5540/tcam.2022.023.04.00607
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268996177494016
score 13.13397

Publicaciones similares