Mathematical Modeling of Recursive Drug Delivery with Diffusion, Equilibrium, and Convection Coupling

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datacite.alternateIdentifier.citationMathematics, 10 (13), 2022
datacite.alternateIdentifier.doi10.3390/math10132171
datacite.creatorHernandez-Montelongo, Rosaura
datacite.creatorSalazar-Araya, Javiera
datacite.creatorHernandez-Montelongo, Jacobo
datacite.creatorGarcia-Sandoval, Juan Paulo
datacite.date2022
datacite.rightsAcceso abierto
datacite.subjectdrug delivery
datacite.subjectmathematical model
datacite.subjectdiffusion
datacite.subjectconvection
datacite.subjectinterface equilibrium
datacite.subjectFourier series
datacite.titleMathematical Modeling of Recursive Drug Delivery with Diffusion, Equilibrium, and Convection Coupling
dc.contributor.authorHERNANDEZ MONTELONGO, JESUS JACOBO
dc.description.abstractIn this work, a mathematical model to describe drug delivery from polymer coatings on implants is proposed. Release predictability is useful for development and understanding of drug release mechanisms from controlled delivery systems. The proposed model considers a unidirectional recursive diffusion process which follows Fick's second law while considering the convective phenomena from the polymer matrix to the liquid where the drug is delivered and the polymer-liquid drug distribution equilibrium. The resulting model is solved using Laplace transformation for two scenarios: (1) a constant initial condition for a single drug delivery experiment; and (2) a recursive delivery process where the liquid medium is replaced with fresh liquid after a fixed period of time, causing a stepped delivery rate. Finally, the proposed model is validated with experimental data.
dc.description.ia_keyworddrug, delivery, model, liquid, polymer, proposed, recursive
dc.formatPDF
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/4617
dc.language.isoen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.sourceMathematics
dc.subject.ia_odsODS 8: Trabajo decente y crecimiento económico
dc.subject.ia_oecd1nIngeniería y Tecnología
dc.subject.ia_oecd2nMateriales
dc.subject.ia_oecd3nCiencia de los Materiales
dc.type.driverinfo:eu-repo/semantics/article
dc.type.driverhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaireinfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
oaire.citationEdition2022
oaire.citationIssue13
oaire.citationTitleMathematics
oaire.citationVolume10
oaire.fundingReferenceANID FONDECYT 11180395 (Regular)
oaire.licenseConditionObra bajo licencia Creative Commons Atribución 4.0 Internacional
oaire.licenseCondition.urihttps://creativecommons.org/licenses/by/4.0/
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
relation.isAuthorOfPublicationd1ebb975-fdac-4b8f-9131-a735b8c04d80
relation.isAuthorOfPublication.latestForDiscoveryd1ebb975-fdac-4b8f-9131-a735b8c04d80
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionzbMATH
uct.indizacionMathSciNet
uct.indizacionDOAJ
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