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After a brief introduction to several variational problems in the study of shapes of thin thickness structures, we deal with variational problems on 2-dimensional surface in 3-dimensional Euclidian space by using exterior differential…

Mathematical Physics · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

Giant unilamellar vesicles (GUVs) composed of as few as three lipid species can phase separate into small-scale lipid domains with stripes and dots patterns. These patterns have been experimentally characterized in terms of how their size…

Soft Condensed Matter · Physics 2025-05-21 Qiwei Yu , Andrej Košmrlj

Plasma membranes appear as deformable systems wherein molecules are free to move and diffuse giving rise to condensed microdomains (composed of ordered lipids, transmembrane proteins and cholesterol) surrounded by disordered lipid…

Soft Condensed Matter · Physics 2024-09-25 Chiara Bernard , Angelo Rosario Carotenuto , Nicola Maria Pugno , Luca Deseri , Massimiliano Fraldi

In hydrodynamic descriptions of lipid bilayers, the membrane is often approximated as being impermeable to the surrounding, solute-containing fluid. However, biological and in vitro lipid membranes are influenced by their permeability and…

Soft Condensed Matter · Physics 2026-02-24 Amaresh Sahu

Bilayer lipid membranes [BLMs] are an essential component of all biological systems, forming a functional barrier for cells and organelles from the surrounding environment. The lipid molecules that form membranes contain both permanent and…

Biological Physics · Physics 2015-03-17 Richard J. Bingham , Peter D. Olmsted , Stephen W. Smye

Morphological transitions of phase separation associated with the asymmetry of lipid composition were investigated using micrometer-sized vesicles of lipid bilayers made from a lipid mixture. The complete macro-phase-separated morphology…

Biological Physics · Physics 2015-04-14 Shunsuke F. Shimobayashi , Masatoshi Ichikawa , Takashi Taniguchi

The influence of an electric field on a poorly conductive membrane such as a lipid bilayer is studied theoretically. The unbalanced electric stress created by an ionic current across a non-perfectly flat membrane gives rise to a…

Soft Condensed Matter · Physics 2009-11-07 Pierre Sens , Hervé Isambert

We consider the hydrodynamics of lipid bilayers containing transmembrane proteins of arbitrary shape. This biologically-motivated problem is relevant to the cell membrane, whose fluctuating dynamics play a key role in phenomena ranging from…

Soft Condensed Matter · Physics 2016-10-10 Andrew Callan-Jones , Marc Durand , Jean-Baptiste Fournier

We study the stress distribution profiles and the height and thickness fluctuations of lipid membranes in the tilted gel state by Monte Carlo simulations of a generic coarse-grained model for lipid membranes, which reproduces many known…

Soft Condensed Matter · Physics 2010-02-24 Beate West , Friederike Schmid

Lipid membranes regulate the flow of materials and information between cells and their organelles. Further, lipid composition and morphology can play a key role in regulating a variety of biological processes. For example, viral uptake,…

Biomolecules · Quantitative Biology 2009-05-12 Tristan Ursell , Rob Phillips

The instability and periodic deformation of bilayer membranes during freezing processes are studied as a function of the difference of the shape energy between the high and the low temperature membrane states. It is shown that there exists…

Soft Condensed Matter · Physics 2015-06-25 Yan Jie , Zhou Haijun , Ou-Yang Zhong-can

Experiments on supported lipid bilayers featuring liquid ordered/disordered domains have shown that the spatial arrangement of the lipid domains and their chemical composition are strongly affected by the curvature of the substrate.…

Soft Condensed Matter · Physics 2021-02-17 Melissa Rinaldin , Piermarco Fonda , Luca Giomi , Daniela J. Kraft

We review recent computer simulation studies of undulating lipid bilayers. Theoretical interpretations of such fluctuating membranes are most commonly based on generalized Helfrich-type elastic models, with additional contributions of local…

Biological Physics · Physics 2013-09-03 Friederike Schmid

Lipid bilayer membranes are not uniform and clusters of lipids in a more ordered state exist within the generally disorder lipid milieu of the membrane. These clusters of ordered lipids microdomains are now referred to as lipid rafts.…

Quantitative Methods · Quantitative Biology 2017-06-28 Melissa R. Adkins , Y. C. Zhou

A simultaneous variational principle is introduced that offers a novel avenue to the description of the equilibrium configurations, and at the same time of the elementary excitations, or undulations, of fluid lipid membranes, described by a…

Fluid Dynamics · Physics 2018-01-10 Riccardo Capovilla

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

A model of lipid bilayers made of a mixture of two lipids with different average compositions on both leaflets, is developed. A Landau hamiltonian describing the lipid-lipid interactions on each leaflet, with two lipidic fields $\psi_1$ and…

Soft Condensed Matter · Physics 2014-08-28 Guillaume Gueguen , Nicolas Destainville , Manoel Manghi

A cell membrane can be simply regarded as composite material consisting of lipid bilayer, membrane cytoskeleton beneath lipid bilayer, and proteins embedded in lipid bilayer and linked with membrane cytoskeleton if one only concerns its…

Other Quantitative Biology · Quantitative Biology 2007-06-26 Z. C. Tu , R. An , Z. C. Ou-Yang

We theoretically investigate the dynamics of a floating lipid bilayer membrane coupled with a two-dimensional cytoskeleton network, taking into explicitly account the intermonolayer friction, the discrete lattice structure of the…

Soft Condensed Matter · Physics 2017-08-02 Ryuichi Okamoto , Shigeyuki Komura , Jean-Baptiste Fournier

Ever since the raft model for biomembranes has been proposed, the traditional view of biomembranes based on the fluid-mosaic model has been altered. In the raft model, dynamical heterogeneities in multi-component lipid bilayers play an…

Soft Condensed Matter · Physics 2014-10-16 Shigeyuki Komura , David Andelman
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