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dc.contributor.author
Barrea, Andres Alberto
dc.contributor.author
Hernandez, Matias Ezequiel
dc.date.available
2018-01-03T18:10:45Z
dc.date.issued
2014-12
dc.identifier.citation
Barrea, Andres Alberto; Hernandez, Matias Ezequiel; Optimal control of a delayed breast cancer stem cells nonlinear model; John Wiley & Sons Ltd; Optimal Control Applications & Methods; 37; 2; 12-2014; 248-258
dc.identifier.issn
0143-2087
dc.identifier.uri
http://hdl.handle.net/11336/32137
dc.description.abstract
In this article, we consider a nonlinear model, which is governed by an ordinary differential equations systemwith time delays in state and control. The model is used in order to describe the growth of breast cancer cellsunder therapy. We seek optimal therapies to minimize the number of cancer cells as well as the total quantityof drug used in the treatment. In this way, we formulate an optimal control problem. We prove the existenceof an optimal therapy and use Pontryagin’s maximum principle in order to find optimality conditions, whichcharacterize such optimal therapy. At last, both numerical results and conclusion are presented.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
John Wiley & Sons Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Optimal Control
dc.subject
Cancer
dc.subject
Maximum Principle
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Optimal control of a delayed breast cancer stem cells nonlinear model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-26T20:36:25Z
dc.journal.volume
37
dc.journal.number
2
dc.journal.pagination
248-258
dc.journal.pais
Estados Unidos
dc.journal.ciudad
New York
dc.description.fil
Fil: Barrea, Andres Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.description.fil
Fil: Hernandez, Matias Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Optimal Control Applications & Methods
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/oca.2164/abstract
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/oca.2164
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