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dc.contributor.authorGonzález Baldonedo, Jacobo 
dc.contributor.authorFernández García, José Ramón 
dc.contributor.authorSegade Robleda, Abraham 
dc.contributor.authorSuarez Garcia, Sofía 
dc.date.accessioned2023-03-17T11:14:30Z
dc.date.available2023-03-17T11:14:30Z
dc.date.issued2022-09-26
dc.identifier.citationJournal of Mathematical Chemistry, 60: 2125-2138 (2022)spa
dc.identifier.issn02599791
dc.identifier.issn15728897
dc.identifier.urihttp://hdl.handle.net/11093/4614
dc.description.abstractTreating specific tissues without affecting other regions is a difficult task. It is desirable to target the particular tissue where the chemical has its biological effect. To study this phenomenon computationally, in this work we numerically study a mathematical model which is written as a nonlinear system composed by three parabolic partial differential equations. The variables involved in the model are the concentration of the chemical, the concentration of the binding protein and the concentration of the chemical bound to the protein. Our aim is to propose a fully discrete approximation of this problem, using the Finite Element Method and a semi-implicit Euler scheme, in order to solve it numerically. This discrete problem is analysed, obtaining a discrete stability property and some a priori error estimates that show the algorithm converges linearly if the continuous solution is regular enough. Also, some representative examples are shown, as well as the numerical verification of the convergence.spa
dc.description.sponsorshipAgencia Estatal de Investigación | Ref. PGC2018-096696-B-I00spa
dc.description.sponsorshipUniversidade de Vigo/CISUGspa
dc.language.isoengspa
dc.publisherJournal of Mathematical Chemistryspa
dc.relationinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096696-B-I00/ES/ANALISIS MATEMATICO Y SIMULACION NUMERICA DE PROBLEMAS CON REMODELACION OSEA. APLICACIONES EN EL DISEÑO DE IMPLANTES DENTALES Y PROTESIS
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleCMMSE: numerical analysis of a chemical targeting modelen
dc.typearticlespa
dc.rights.accessRightsopenAccessspa
dc.identifier.doi10.1007/s10910-022-01404-0
dc.identifier.editorhttps://link.springer.com/10.1007/s10910-022-01404-0spa
dc.publisher.departamentoEnxeñaría mecánica, máquinas e motores térmicos e fluídosspa
dc.publisher.departamentoMatemática aplicada Ispa
dc.publisher.grupoinvestigacionDeseño e Simulación Numérica en Enxeñaría Mecánicaspa
dc.subject.unesco1202 Análisis y Análisis Funcionalspa
dc.subject.unesco2406.04 Biomecánicaspa
dc.date.updated2023-03-15T16:01:09Z
dc.computerCitationpub_title=Journal of Mathematical Chemistry|volume=60|journal_number=|start_pag=2125|end_pag=2138spa


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    Attribution 4.0 International
    Except where otherwise noted, this item's license is described as Attribution 4.0 International