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This review reports some theoretical results on the Geometry of membranes. The governing equations to describe equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are derived from the…

软凝聚态物质 · 物理学 2011-12-30 Z. C. TU

In biology, cells undergo deformations under the action of flow caused by the fluid surrounding them. These flows lead to shape changes and instabilities that have been explored in detail for single component vesicles. However, cell…

流体动力学 · 物理学 2025-10-15 Anirudh Venkatesh , Vivek Narsimhan

We study the shape dynamics of a two-component fluid membrane, using a dynamical triangulation monte carlo simulation and a Langevin description. Phase separation induces morphology changes depending on the lateral mobility of the lipids.…

软凝聚态物质 · 物理学 2009-10-30 P. B. Sunil Kumar , Madan Rao

Elastic crystalline membranes exhibit a buckling transition from sphere to polyhedron. However, their morphologies are restricted to convex polyhedra and are difficult to externally control. Here, we study morphological changes of closed…

软凝聚态物质 · 物理学 2019-08-07 Hang Yuan , Monica Olvera de la Cruz

We investigate experimentally and numerically the defect configurations emerging when a cholesteric liquid crystal is confined to a spherical shell. We uncover a rich scenario of defect configurations, some of them non-existent in nematic…

软凝聚态物质 · 物理学 2017-09-13 Alexandre Darmon , Michael Benzaquen , Simon Čopar , Olivier Dauchot , Teresa Lopez-Leon

Monolayers of anisotropic cells exhibit long-ranged orientational order and topological defects. During the development of organisms, orientational order often influences morphogenetic events. However, the linkage between the mechanics of…

软凝聚态物质 · 物理学 2021-01-20 Carles Blanch-Mercader , Pau Guillamat , Aurélien Roux , Karsten Kruse

The electrostatic contribution to spontaneous membrane curvature is calculated within Poisson-Boltzmann theory under a variety of assumptions and emphasizing parameters in the physiological range. Asymmetric surface charges, either fixed…

凝聚态物理 · 物理学 2009-10-28 Tom Chou , Marko V. Jaric' , Eric D. Siggia

We have employed molecular dynamics simulations based on the TIP4P/2005 water model to investigate the local structural, dynamical, and dielectric properties of the two recently reported body-centered-cubic and face-centered-cubic plastic…

软凝聚态物质 · 物理学 2019-04-03 Ioannis Skarmoutsos , Stefano Mossa , Elvira Guardia

Biological membranes are shaped by various proteins that either generate inward or outward membrane curvature. In this article, we investigate the membrane morphologies induced by mixtures of arc-shaped particles with coarse-grained…

亚细胞过程 · 定量生物学 2020-04-03 Francesco Bonazzi , Carol K. Hall , Thomas R. Weikl

We carry out Monte Carlo simulations on fluid membranes with orientational order and multiple edges in the presence and absence of external forces. The membrane resists bending and has an edge tension, the orientational order couples with…

软凝聚态物质 · 物理学 2023-11-01 Lijie Ding , Robert A. Pelcovits , Thomas R. Powers

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…

软凝聚态物质 · 物理学 2016-05-18 Hiroshi Noguchi

In developing organisms, internal cellular processes generate mechanical stresses at the tissue scale. The resulting deformations depend on the material properties of the tissue, which can exhibit long-ranged orientational order and…

软凝聚态物质 · 物理学 2021-01-20 Carles Blanch-Mercader , Pau Guillamat , Aurélien Roux , Karsten Kruse

The interplay between geometry, topology and order can lead to geometric frustration that profoundly affects the shape and structure of a curved surface. In this commentary we show how frustration in this context can result in the faceting…

软凝聚态物质 · 物理学 2016-02-02 Mark Bowick , Rastko Sknepnek

The shape dynamics of fluid vesicles is governed by the coupling of the flow within the two-dimensional membrane to the hydrodynamics of the surrounding bulk fluid. We present a numerical scheme which is capable of solving this flow problem…

凝聚态物理 · 物理学 2009-10-28 Martin Kraus , Wolfgang Wintz , Udo Seifert , Reinhard Lipowsky

Motivated by recent experiments on biomimetic membranes exposed to several aqueous phases, we theoretically study the morphology of a membrane in contact with a liquid droplet formed via aqueous phase separation. We concentrate on membranes…

软凝聚态物质 · 物理学 2012-02-07 Halim Kusumaatmaja , Reinhard Lipowsky

Spherical particles confined to a sphere surface cannot pack densely into a hexagonal lattice without defects. In this study, we use hard particle Monte Carlo simulations to determine the effects of continuously deformable shape anisotropy…

软凝聚态物质 · 物理学 2026-01-01 Gabrielle N. Jones , Philipp W. A. Schönhöfer , Sharon C. Glotzer

This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact solutions to the shape equation of lipid vesicles; (ii) exact…

软凝聚态物质 · 物理学 2017-07-27 Z. C. Tu

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…

软凝聚态物质 · 物理学 2012-05-30 Rastko Sknepnek , Monica Olvera de la Cruz

We investigate how an externally imposed curvature influences lipid segregation on two-phase-coexistent membranes. We show that the bending-modulus contrast of the two phases and the curvature act together to yield a reduced effective line…

软凝聚态物质 · 物理学 2018-06-21 Fangfu Ye , Robin L. B. Selinger , Jonathan V. Selinger

This paper reviews the research work on the liquid crystalline (LC) polymer vesicles (polymersomes), where the thermotropic nematic and smectic phases are displayed in the lyotropic bilayer polymer membrane. LC polymersomes possess the…

软凝聚态物质 · 物理学 2015-03-05 Lin Jia , Min-Hui Li