Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities

Detalhes bibliográficos
Autor(a) principal: Rodrigues, Diego S.
Data de Publicação: 2020
Outros Autores: Mancera, Paulo F.A. [UNESP], Carvalho, Tiago, Gonçalves, Luiz Fernando [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2019.124782
http://hdl.handle.net/11449/198024
Resumo: The application of sliding mode control and piecewise smooth vector fields in cancer is an incipient research area. Here we propose a piecewise dynamics to explore chemoimmunotherapeutic strategies. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities. The on-off treatment strategies are defined in terms of a time-dependent variable such as the number of cancer or immune cells.
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spelling Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularitiesCancerChemoimmunotherapyPiecewise smooth vector fieldsTypical singularitiesThe application of sliding mode control and piecewise smooth vector fields in cancer is an incipient research area. Here we propose a piecewise dynamics to explore chemoimmunotherapeutic strategies. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities. The on-off treatment strategies are defined in terms of a time-dependent variable such as the number of cancer or immune cells.UNICAMP FTUNESP IBBUSP FFCLRP, Ribeirão PretoUNESP, IBILCE, São José do Rio PretoUNESP IBBUNESP, IBILCE, São José do Rio PretoUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Rodrigues, Diego S.Mancera, Paulo F.A. [UNESP]Carvalho, TiagoGonçalves, Luiz Fernando [UNESP]2020-12-12T00:56:54Z2020-12-12T00:56:54Z2020-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.amc.2019.124782Applied Mathematics and Computation, v. 387.0096-3003http://hdl.handle.net/11449/19802410.1016/j.amc.2019.1247822-s2.0-85073559844Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computationinfo:eu-repo/semantics/openAccess2021-10-23T07:34:07Zoai:repositorio.unesp.br:11449/198024Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T07:34:07Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
title Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
spellingShingle Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
Rodrigues, Diego S.
Cancer
Chemoimmunotherapy
Piecewise smooth vector fields
Typical singularities
title_short Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
title_full Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
title_fullStr Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
title_full_unstemmed Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
title_sort Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
author Rodrigues, Diego S.
author_facet Rodrigues, Diego S.
Mancera, Paulo F.A. [UNESP]
Carvalho, Tiago
Gonçalves, Luiz Fernando [UNESP]
author_role author
author2 Mancera, Paulo F.A. [UNESP]
Carvalho, Tiago
Gonçalves, Luiz Fernando [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Rodrigues, Diego S.
Mancera, Paulo F.A. [UNESP]
Carvalho, Tiago
Gonçalves, Luiz Fernando [UNESP]
dc.subject.por.fl_str_mv Cancer
Chemoimmunotherapy
Piecewise smooth vector fields
Typical singularities
topic Cancer
Chemoimmunotherapy
Piecewise smooth vector fields
Typical singularities
description The application of sliding mode control and piecewise smooth vector fields in cancer is an incipient research area. Here we propose a piecewise dynamics to explore chemoimmunotherapeutic strategies. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities. The on-off treatment strategies are defined in terms of a time-dependent variable such as the number of cancer or immune cells.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T00:56:54Z
2020-12-12T00:56:54Z
2020-12-15
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.amc.2019.124782
Applied Mathematics and Computation, v. 387.
0096-3003
http://hdl.handle.net/11449/198024
10.1016/j.amc.2019.124782
2-s2.0-85073559844
url http://dx.doi.org/10.1016/j.amc.2019.124782
http://hdl.handle.net/11449/198024
identifier_str_mv Applied Mathematics and Computation, v. 387.
0096-3003
10.1016/j.amc.2019.124782
2-s2.0-85073559844
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
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_ 1803046096873717760

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