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Equilibrium budding and vesiculation in the curvature model of fluid lipid vesicles

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dc.contributorVirginia Techen
dc.contributor.authorMiao, L.en
dc.contributor.authorFourcade, B.en
dc.contributor.authorRao, M. D.en
dc.contributor.authorWortis, M.en
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentCenter for Stochastic Processes in Science and Engineering (CSPISE)en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-22en
dc.date.accessioned2014-04-25T14:12:35Zen
dc.date.available2014-04-25T14:12:35Zen
dc.date.issued1991-06en
dc.description.abstractAccording to a model introduced by Helfrich [Z. Naturforsch. 28c, 693 (1973)], the shape of a closed lipid vesicle is determined by minimization of the total bending energy at fixed surface area and enclosed volume. We show that, in the appropriate regime, this model predicts both budding (the eruption of a satellite connected to the parent volume via a neck) and vesiculation (the special case when the neck radius goes to zero). Vesiculation occurs when the minimum is located at a boundary in the space of configurations. Successive vesiculations produce multiplets, in which the minimum-energy configuration consists of several bodies coexisting through infinitesimal necks. We study the sequence of shapes and shape transitions followed by a spherical vesicle of radius R(v), large on the scale R0 set by the spontaneous curvature, as its area A increases at constant volume V = 4-pi-R(v)3/3. Such a vesicle periodically sheds excess area into a set of smaller spheres with radii comparable to R0. We map out this (shape) phase diagram at large volume. In this region the phase diagram is dominated by multiples and reflects the details of the shedding process. The overall effect of successive vesiculations is to reduce the energy from a quantity of order R(v)2 down to zero or near zero when the area reaches 3V/R0; however, the decrease is not uniform and the energy E(A,V) is not convex.en
dc.description.sponsorshipNSFen
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canadaen
dc.identifier.citationMiao, L.; Fourcade, B.; Rao, M. D.; Wortis, M.; Zia, R. K. P., "Equilibrium budding and vesiculation in the curvature model of fluid lipid vesicles," Phys. Rev. A 43, 6843 (1991); DOI: http://dx.doi.org/10.1103/PhysRevA.43.6843en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.43.6843en
dc.identifier.issn1050-2947en
dc.identifier.urihttp://hdl.handle.net/10919/47691en
dc.identifier.urlhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.43.6843en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectred-blood-cellen
dc.subjectmembrane bending energyen
dc.subjectshape transformationsen
dc.subjectbilayeren
dc.subjectcoupleen
dc.subjectminimum energyen
dc.subjectelasticityen
dc.subjectexplanationen
dc.subjectdeformationen
dc.subjectinstabilityen
dc.subjectcylindersen
dc.titleEquilibrium budding and vesiculation in the curvature model of fluid lipid vesiclesen
dc.title.serialPhysical Review Aen
dc.typeArticle - Refereeden

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