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hal.structure.identifierUniversity of California [Santa Barbara] [UC Santa Barbara]
hal.structure.identifierDepartment of Mechanical Engineering [Santa Barbara]
dc.contributor.authorGUITTET, Arthur
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorPOIGNARD, Clair
hal.structure.identifierUniversity of California [Santa Barbara] [UC Santa Barbara]
hal.structure.identifierDepartment of Mechanical Engineering [Santa Barbara]
dc.contributor.authorGIBOU, Frederic
dc.date.issued2017-03
dc.identifier.issn0021-9991
dc.description.abstractEnWe present a Voronoi Interface approach to the study of cell electropermeabilization. We consider the nonlinear electropermeabilization model of Poignard et al. [20], which takes into account the jump in the voltage potential across cells' membrane. The jump condition is imposed in a sharp manner, using the Voronoi Interface Method of Guittet et al. [14], while adaptive Quad-/Oc-tree grids are employed to automatically refine near the cells boundary for increased accuracy. Numerical results are provided to illustrate the accuracy of the methods. We also carry out simulations in three spatial dimensions to investigate the influence of shadowing and of the cells shape on the degree of permeabilization.
dc.language.isoen
dc.publisherElsevier
dc.subject.enQuad/Oc-tree
dc.subject.enVoronoi
dc.subject.enLevel-Set method
dc.subject.en92C37
dc.subject.en2000 MSC: 65M08
dc.subject.en65M12
dc.subject.enSharp methods
dc.subject.enFinite Volume method
dc.subject.enCell modelling
dc.title.enA Voronoi Interface approach to cell aggregate electropermeabilization
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2016.11.048
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Computational Physics
bordeaux.page143 - 159
bordeaux.volume332
bordeaux.peerReviewedoui
hal.identifierhal-01483521
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01483521v1
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