Mostrar el registro sencillo del ítem
dc.contributor.author
Knopoff, Damián Alejandro
dc.contributor.author
Fernández Ferreyra, Damián Roberto
dc.contributor.author
Torres, Germán Ariel
dc.contributor.author
Turner, Cristina Vilma
dc.date.available
2017-03-02T18:42:03Z
dc.date.issued
2013-10
dc.identifier.citation
Knopoff, Damián Alejandro; Fernández Ferreyra, Damián Roberto; Torres, Germán Ariel; Turner, Cristina Vilma; Adjoint method for a tumor growth PDE-constrained optimization problem; Pergamon-elsevier Science Ltd; Computers & Mathematics With Applications (1987); 66; 6; 10-2013; 1104-1119
dc.identifier.issn
0898-1221
dc.identifier.uri
http://hdl.handle.net/11336/13481
dc.description.abstract
In this paper we present a method for estimating unknown parameters that
appear on an avascular, spheric tumor growth model. The model for the
tumor is based on nutrient driven growth of a continuum of live cells,
whose birth and death generate volume changes described by a velocity
field. The model consists of a coupled system of partial differential
equations whose spatial domain is the tumor, that changes in size over
time. Thus, the situation can be formulated as a free boundary problem.
After solving the direct problem properly, we use the model for the
estimation of parameters by fitting the numerical solution with real
data, obtained via <em>in vitro</em> experiments and medical imaging. We
define an appropriate functional to compare both the real data and the
numerical solution. We use the adjoint method for the minimization of
this functional.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-elsevier Science Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Avascular Tumor
dc.subject
Pde Constrained Optimization
dc.subject
Inverse Problem
dc.subject
Mathematical Modeling
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Adjoint method for a tumor growth PDE-constrained optimization problem
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-25T14:00:56Z
dc.journal.volume
66
dc.journal.number
6
dc.journal.pagination
1104-1119
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.description.fil
Fil: Fernández Ferreyra, Damián Roberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.description.fil
Fil: Torres, Germán Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.description.fil
Fil: Turner, Cristina Vilma. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.journal.title
Computers & Mathematics With Applications (1987)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.camwa.2013.05.028
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/journal/08981221
Archivos asociados