A three-dimensional semi-analytical solution for predicting drug release through the orifice of a spherical device

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dc.citation.journalTitleINTERNATIONAL JOURNAL OF PHARMACEUTICS
dc.contributor.authorSimon, L.
dc.contributor.authorOspina, J.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorSimon, L.
dc.creatorOspina, J.
dc.date.accessioned2021-03-26T21:32:05Z
dc.date.available2021-03-26T21:32:05Z
dc.date.issued2016-07-25
dc.description.abstractThree-dimensional solute transport was investigated for a spherical device with a release hole. The governing equation was derived using the Fick's second law. A mixed Neumann-Dirichlet condition was imposed at the boundary to represent diffusion through a small region on the surface of the device. The cumulative percentage of drug released was calculated in the Laplace domain and represented by the first term of an infinite series of Legendre and modified Bessel functions of the first kind. Application of the Zakian algorithm yielded the time-domain closed-form expression. The first-order solution closely matched a numerical solution generated by Mathematica (R). The proposed method allowed computation of the characteristic time. A larger surface pore resulted in a smaller effective time constant. The agreement between the numerical solution and the semi-analytical method improved noticeably as the size of the orifice increased. It took four time constants for the device to release approximately ninety-eight of its drug content. © 2016 Elsevier B.V. All rights reserved.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=3690
dc.identifier.doi10.1016/j.ijpharm.2016.06.020
dc.identifier.issn03785173
dc.identifier.issn18733476
dc.identifier.otherWOS;000378949800049
dc.identifier.otherPUBMED;27286637
dc.identifier.otherSCOPUS;2-s2.0-84974678962
dc.identifier.urihttp://hdl.handle.net/10784/27343
dc.languageeng
dc.publisherELSEVIER SCIENCE BV
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84974678962&doi=10.1016%2fj.ijpharm.2016.06.020&partnerID=40&md5=5ad516637a1f49c92abd91636bbdca59
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0378-5173
dc.sourceINTERNATIONAL JOURNAL OF PHARMACEUTICS
dc.subjectSpherical deviceeng
dc.subjectEffective time constanteng
dc.subjectControlled releaseeng
dc.subjectLaplace transformeng
dc.titleA three-dimensional semi-analytical solution for predicting drug release through the orifice of a spherical deviceeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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