Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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2946 |
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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_ |
1803649486017265664 |