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dc.contributor.author
Castillo, Maria Emilia
dc.contributor.author
Morin, Pedro
dc.date.available
2017-12-14T17:25:10Z
dc.date.issued
2015-10
dc.identifier.citation
Castillo, Maria Emilia; Morin, Pedro; On a dissolution-diffusion model. Existence, uniqueness, regularity and simulations; Elsevier; Computers And Mathematics With Applications; 70; 8; 10-2015; 1887-1905
dc.identifier.issn
0097-4943
dc.identifier.uri
http://hdl.handle.net/11336/30628
dc.description.abstract
We perform a mathematical analysis of a model for drug dissolution-diffusion in non erodible nor swellable devices. We deduce a model and obtain a coupled nonlinear system which contains a parabolic equation for the dissolved drug and an ordinary differential equation for the solid drug, which is assumed to be distributed in the whole domain into microspheres which can differ in size. We analyze existence, uniqueness, and regularity properties of the system. Existence is proved using Schauder fixed point theorem. Lack of uniqueness is shown when the initial concentration of dissolved drug is higher than the saturation density in a region, and uniqueness is obtained in the non-saturated case. A square root function appears in the equation for the solid drug, and is responsible for the lack of uniqueness in the oversaturated case. The regularity results are sufficient for the optimal a priori error estimates of a finite element discretization of the system, which is presented and analyzed here. Simulations illustrating some features of the solutions and a good agreement with laboratory experiments are presented. Finally, we obtain error estimates for the finite element method used to compute the simulations.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Dissolution-Diffusion
dc.subject
Partial Differential Equations
dc.subject
Finite Elements
dc.subject
Drug Release
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On a dissolution-diffusion model. Existence, uniqueness, regularity and simulations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-12T18:15:12Z
dc.journal.volume
70
dc.journal.number
8
dc.journal.pagination
1887-1905
dc.journal.pais
Países Bajos
dc.description.fil
Fil: Castillo, Maria Emilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Morin, Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.journal.title
Computers And Mathematics With Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.camwa.2015.08.004
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