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

Detalhes bibliográficos
Autor(a) principal: Araújo, Anderson Luis Albuquerque de
Data de Publicação: 2015
Outros Autores: Magalhães, Paulo Marcelo Dias de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFOP
Texto Completo: http://www.repositorio.ufop.br/handle/123456789/4598
https://doi.org/10.1016/j.jmaa.2014.07.038
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 Existence of solutions and optimal control for a model of tissue invasion by solid tumours.Fixed point theoremOptimal controlTumour invasion of tissueIn 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.2015-03-12T18:48:59Z2015-03-12T18:48:59Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, p. 842-877, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X14006817>. Acesso em: 09 mar. 2015.0022-247Xhttp://www.repositorio.ufop.br/handle/123456789/4598https://doi.org/10.1016/j.jmaa.2014.07.038O periódico Journal of Mathematical Analysis and Applications concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3584830097489.info:eu-repo/semantics/openAccessAraújo, Anderson Luis Albuquerque deMagalhães, Paulo Marcelo Dias deengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOP2019-06-24T17:35:10Zoai:repositorio.ufop.br:123456789/4598Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-06-24T17:35:10Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.none.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.
Araújo, Anderson Luis Albuquerque 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 Araújo, Anderson Luis Albuquerque de
author_facet Araújo, Anderson Luis Albuquerque de
Magalhães, Paulo Marcelo Dias de
author_role author
author2 Magalhães, Paulo Marcelo Dias de
author2_role author
dc.contributor.author.fl_str_mv Araújo, Anderson Luis Albuquerque de
Magalhães, Paulo Marcelo Dias de
dc.subject.por.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.none.fl_str_mv 2015-03-12T18:48:59Z
2015-03-12T18:48:59Z
2015
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 ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, p. 842-877, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X14006817>. Acesso em: 09 mar. 2015.
0022-247X
http://www.repositorio.ufop.br/handle/123456789/4598
https://doi.org/10.1016/j.jmaa.2014.07.038
identifier_str_mv ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, p. 842-877, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X14006817>. Acesso em: 09 mar. 2015.
0022-247X
url http://www.repositorio.ufop.br/handle/123456789/4598
https://doi.org/10.1016/j.jmaa.2014.07.038
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFOP
instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Repositório Institucional da UFOP
collection Repositório Institucional da UFOP
repository.name.fl_str_mv Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)
repository.mail.fl_str_mv repositorio@ufop.edu.br
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