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dc.contributor.authorRahimi Lenji, Mohammad
dc.contributor.authorArroyo Balaguer, Marino
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationRahimi, M.; Arroyo, M. Shape dynamics, lipid hydrodynamics, and the complex viscoelasticty of bilayer membranes. "Physical review E: statistical, nonlinear, and soft matter physics", Juliol 2012, vol. 86, núm. 1, p. 1-15.
dc.description.abstractBiological membranes are continuously brought out of equilibrium, as they shape organelles, package and transport cargo, or respond to external actions. Even the dynamics of plain lipid membranes in experimental model systems are very complex due to the tight interplay between the bilayer architecture, the shape dynamics, and the rearrangement of the lipid molecules.We formulate and numerically implement a continuum model of the shape dynamics and lipid hydrodynamics, which describes the bilayer by its midsurface and by a lipid density field for each monolayer. The viscoelastic response of bilayers is determined by the stretching and curvature elasticity, and by the inter-monolayer friction and the membrane interfacial shear viscosity. While the bilayer equilibria are well understood theoretically, dynamical calculations have relied on simplified continuum approaches of uncertain transferability, or on molecular simulations reaching very limited length and time scales. Our approach incorporates the main physics, is fully nonlinear, does not assume predefined shapes, and can access a wide range of time and length scales. We validate it with the well understood tether extension. We investigate the tubular lipid transport between cells, the dynamics of bud absorption by a planar membrane, and the fate of a localized lipid density asymmetry in vesicles. These axisymmetric examples bear biological relevance and highlight the diversity of dynamical regimes that bilayers can experience.
dc.format.extent15 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
dc.subject.otherBilayer architecture
dc.subject.otherBilayer membranes
dc.subject.otherContinuum model
dc.subject.otherCurvature elasticity
dc.subject.otherDensity fields
dc.subject.otherDynamical calculations
dc.subject.otherDynamical regime
dc.subject.otherExperimental models
dc.subject.otherExternal action
dc.subject.otherFully nonlinear
dc.subject.otherInterfacial shear viscosity
dc.subject.otherLength scale
dc.subject.otherLipid membranes
dc.subject.otherLipid molecules
dc.subject.otherLipid transport
dc.subject.otherMolecular simulations
dc.subject.otherOut of equilibrium
dc.subject.otherPlanar membranes
dc.subject.otherShape dynamics
dc.subject.otherViscoelastic response
dc.titleShape dynamics, lipid hydrodynamics, and the complex viscoelasticty of bilayer membranes
dc.subject.lemacFísica matemàtica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.ams76E Hydrodynamic stability
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/240487/EU/Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach/PREDMODSIM
local.citation.authorRahimi, M.; Arroyo, M.
local.citation.publicationNamePhysical review E: statistical, nonlinear, and soft matter physics

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