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dc.contributor.authorUgail, Hassan*
dc.contributor.authorJamil, N.*
dc.contributor.authorSatinoianu, R.*
dc.date.accessioned2009-05-14T15:37:05Z
dc.date.available2009-05-14T15:37:05Z
dc.date.issued2006
dc.identifier.citationUgail, H., Jamil, N. and Satinoianu, R. (2006). Method of numerical simulation of stable structures of fluid membranes and vesicles. WSEAS Transactions on Mathematics, Vol. 9, No. 5, pp. 1009-1014.en
dc.identifier.urihttp://hdl.handle.net/10454/2646
dc.description.abstractIn this paper we study a methodology for the numerical simulation of stable structures of fluid membranes and vesicles in biological organisms. In particular, we discuss the effects of spontaneous curvature on vesicle cell membranes under the bending energy for given volume and surface area. The geometric modeling of the vesicle shapes are undertaken by means of surfaces generated as Partial Differential Equations (PDEs). We combine PDE based geometric modeling with numerical optimization in order to study the stable shapes adopted by the vesicle membranes. Thus, through the PDE method we generate a generic template of a vesicle membrane which is then efficiently parameterized. The parameterization is taken as a basis to set up a numerical optimization procedure which enables us to predict a series of vesicle shapes subject to given surface area and volume.en
dc.language.isoenen
dc.publisherWorld Scientific and Engineering Academy and Society (WSEAS)en
dc.relation.isreferencedbyhttp://www.worldses.org/journals/mathematics/index.htmlen
dc.rights© 2006 World Scientific and Engineering Academy and Society (WSEAS). Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectSurface modelingen
dc.subjectFluid membranesen
dc.subjectVesiclesen
dc.subjectPartial differential equations (PDEs)en
dc.subjectSpontaneous curvatureen
dc.subjectOptimizationen
dc.subjectVesicle cell membranesen
dc.titleMethod of numerical simulation of stable structures of fluid membranes and vesicles.en
dc.status.refereedYesen
dc.typeArticleen
dc.type.versionpublished version paperen
refterms.dateFOA2018-07-18T13:37:50Z


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