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Using both numerical and variational minimization of the bending and adhesion energy of two-dimensional lipid vesicles, we study their aggregation, and we find that the stable aggregates include an infinite number of vesicles and that they…

Soft Condensed Matter · Physics 2009-11-13 P. Ziherl

We explore the interplay of membrane curvature and nonspecific binding due to excluded-volume effects among colloidal particles inside lipid bilayer vesicles. We trapped submicron spheres of two different sizes inside a pear-shaped,…

Soft Condensed Matter · Physics 2009-10-30 A. D. Dinsmore , D. T. Wong , Philip Nelson , A. G. Yodh

We conduct a systematic exploration of the energy landscape of vesicle morphologies within the framework of the Helfrich model. Vesicle shapes are determined by minimizing the elastic energy subject to constraints of constant area and…

Soft Condensed Matter · Physics 2023-11-27 Rodrigo B. Reboucas , Hammad A. Faizi , Michael J. Miksis , Petia M. Vlahovska

We analyse the effects that the impermeability constraint induces on the equilibrium shapes of a three-dimensional vesicle hosting a rigid inclusion. A given alteration of the inclusion and/or vesicle parameters leads to shape modifications…

Soft Condensed Matter · Physics 2009-11-10 Paolo Biscari , Silvia Maria Canevese , Gaetano Napoli

In this work, we study the adhesion of multi-component vesicle membrane to both flat and curved substrates, based on the conventional Helfrich bending energy for multi-component vesicles and adhesion potentials of different forms. A phase…

Biological Physics · Physics 2015-05-14 Yanxiang Zhao , Sovan Das , Qiang Du

Within the framework of the well-known curvature models, a fluid lipid bilayer membrane is regarded as a surface embedded in the three-dimensional Euclidean space whose equilibrium shapes are described in terms of its mean and Gaussian…

Mathematical Physics · Physics 2009-10-22 V. M. Vassilev , P. A. Djondjorov , I. M. Mladenov

The shape deformation of a three-dimensional axisymmetric vesicle with encapsulated filaments or impurities is analyzed by integrating a dissipation dynamics. This method can incorporate systematically the constraint of a fixed surface area…

Soft Condensed Matter · Physics 2009-11-07 Akiyoshi shibuya , Yukio Saito , Hiroyuki Hyuga

We theoretically study the elastic deformation of a fluid membrane induced by an adhering spherical colloidal particle within the framework of a Helfrich energy. Based on a full optimization of the membrane shape we find a continuous…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Thomas Bickel

Cells offer numerous inspiring examples where proteins and membranes combine to form complex structures that are key to intracellular compartmentalization, cargo transport, and specialization of cell morphology. Despite this wealth of…

We develop an analytical theory to explain the experimentally-observed morphological transitions of giant vesicles induced by AC electric fields (1). The model treats the inner and suspending media as lossy dielectrics, while the membrane…

Biological Physics · Physics 2015-05-13 Petia Vlahovska , Ruben Serral Gracia , Said Aranda , Rumiana Dimova

We develop theory and computational methods to investigate particle inclusions embedded within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles where inclusion particles are coupled through (i) intramembrane…

Soft Condensed Matter · Physics 2023-02-28 Jon Karl Sigurdsson , Paul J. Atzberger

We examine the deformation of homogeneous spherical fluid vesicles along their equator by a circular rigid ring. We consider deformations preserving the axial and equatorial mirror symmetries of the vesicles. The configurations of the…

Soft Condensed Matter · Physics 2025-03-27 Pablo Vázquez-Montejo , Bojan Božič , Jemal Guven

We study the phase behavior of multicomponent lipid bilayer vesicles that can exhibit intriguing morphological patterns and lateral phase separation. We use a modified Landau-Ginzburg model capable of describing spatially uniform phases,…

Soft Condensed Matter · Physics 2018-06-22 Yongtian Luo , Lutz Maibaum

The transport of particles across lipid-bilayer membranes is important for biological cells to exchange information and material with their environment. Large particles often get wrapped by membranes, a process which has been intensively…

Soft Condensed Matter · Physics 2024-06-04 Jiarul Midya , Thorsten Auth , Gerhard Gompper

The assembly of curved protein rods on fluid membranes is studied using implicit-solvent meshless membrane simulations. As the rod curvature increases, the rods on a membrane tube assemble along the azimuthal direction first and…

Soft Condensed Matter · Physics 2016-05-18 Hiroshi Noguchi

We investigate numerically the dynamics of shape and displacement fluctuations of two-dimensional flexible vesicles filled with active particles. At low concentration most of the active particles accumulate at the boundary of the vesicle…

Statistical Mechanics · Physics 2016-09-29 Matteo Paoluzzi , Roberto Di Leonardo , M Cristina Marchetti , Luca Angelani

A theoretical study of vesicles of topological genus zero is presented. The bilayer membranes forming the vesicles have various degrees of intrinsic (tangent-plane) orientational order, ranging from smectic to hexatic, frustrated by…

Condensed Matter · Physics 2009-10-28 R. M. L. Evans

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

Fluid Dynamics · Physics 2021-09-16 Qi Hong , Qi Wang

We use an elastic model to explore faceting of solid-wall vesicles with elastic heterogeneities. We show that faceting occurs in regions where the vesicle wall is softer, such as areas of reduced wall thicknesses or concentrated in…

Soft Condensed Matter · Physics 2012-05-30 Rastko Sknepnek , Monica Olvera de la Cruz

We develop coarse-grained particle approaches for studying the elastic mechanics of vesicles with heterogeneous membranes having phase-separated domains. We perform simulations both of passive shape fluctuations and of active systems where…

Soft Condensed Matter · Physics 2023-02-28 David A. Rower , Paul J. Atzberger