Existence of solutions and optimal control for a model of tissue invasion by solid tumours

Detalhes bibliográficos
Autor(a) principal: Araujo, Anderson L.A. de
Data de Publicação: 2015
Outros Autores: Magalhães, Paulo Marcelo Dias De
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.jmaa.2014.07.038
http://www.locus.ufv.br/handle/123456789/22083
Resumo: In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.
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spelling Araujo, Anderson L.A. deMagalhães, Paulo Marcelo Dias De2018-10-01T11:48:14Z2018-10-01T11:48:14Z2015-01-010022-247Xhttps://doi.org/10.1016/j.jmaa.2014.07.038http://www.locus.ufv.br/handle/123456789/22083In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.engJournal of Mathematical Analysis and ApplicationsVolume 421, Issue 1, Pages 842-877, January 2015Elsevier B. V.info:eu-repo/semantics/openAccessFixed point theoremOptimal controlTumour invasion of tissueExistence of solutions and optimal control for a model of tissue invasion by solid tumoursinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf587865https://locus.ufv.br//bitstream/123456789/22083/1/artigo.pdf02f96410a919a3b7d11d22134b44a950MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/22083/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4870https://locus.ufv.br//bitstream/123456789/22083/3/artigo.pdf.jpg5f7ffe9231638d03c3c51f04134aa612MD53123456789/220832018-10-01 23:00:36.458oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-10-02T02:00:36LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Existence of solutions and optimal control for a model of tissue invasion by solid tumours
title Existence of solutions and optimal control for a model of tissue invasion by solid tumours
spellingShingle Existence of solutions and optimal control for a model of tissue invasion by solid tumours
Araujo, Anderson L.A. de
Fixed point theorem
Optimal control
Tumour invasion of tissue
title_short Existence of solutions and optimal control for a model of tissue invasion by solid tumours
title_full Existence of solutions and optimal control for a model of tissue invasion by solid tumours
title_fullStr Existence of solutions and optimal control for a model of tissue invasion by solid tumours
title_full_unstemmed Existence of solutions and optimal control for a model of tissue invasion by solid tumours
title_sort Existence of solutions and optimal control for a model of tissue invasion by solid tumours
author Araujo, Anderson L.A. de
author_facet Araujo, Anderson L.A. de
Magalhães, Paulo Marcelo Dias De
author_role author
author2 Magalhães, Paulo Marcelo Dias De
author2_role author
dc.contributor.author.fl_str_mv Araujo, Anderson L.A. de
Magalhães, Paulo Marcelo Dias De
dc.subject.pt-BR.fl_str_mv Fixed point theorem
Optimal control
Tumour invasion of tissue
topic Fixed point theorem
Optimal control
Tumour invasion of tissue
description In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.
publishDate 2015
dc.date.issued.fl_str_mv 2015-01-01
dc.date.accessioned.fl_str_mv 2018-10-01T11:48:14Z
dc.date.available.fl_str_mv 2018-10-01T11:48:14Z
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 https://doi.org/10.1016/j.jmaa.2014.07.038
http://www.locus.ufv.br/handle/123456789/22083
dc.identifier.issn.none.fl_str_mv 0022-247X
identifier_str_mv 0022-247X
url https://doi.org/10.1016/j.jmaa.2014.07.038
http://www.locus.ufv.br/handle/123456789/22083
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 421, Issue 1, Pages 842-877, January 2015
dc.rights.driver.fl_str_mv Elsevier B. V.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Elsevier B. V.
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Journal of Mathematical Analysis and Applications
publisher.none.fl_str_mv Journal of Mathematical Analysis and Applications
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