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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