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We study the effects of chiral constituent molecules on the macroscopic shapes attained by lipid bilayer membranes. Such fluid membranes are beautiful examples of statistical ensembles of random shapes, sometimes coupled to in-plane order.…

Condensed Matter · Physics 2008-02-03 P. Nelson , T. Powers

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

Correctly formulated continuum models for lipid-bilayer membranes present a significant challenge to computational mechanics. In particular, the mid-surface behavior is that of a 2-dimensional fluid, while the membrane resists bending much…

Soft Condensed Matter · Physics 2017-03-08 Siming Zhao , Timothy Healey , Qingdu Li

The bending rigidity $k_c$ of bilayer vesicles self-assembled from amphiphilic diblock copolymers has been measured using single and dual-micropipet techniques. These copolymers are nearly a factor of 5 greater in hydrophobic membrane…

Soft Condensed Matter · Physics 2007-05-23 H. Bermudez , D. A. Hammer , D. E. Discher

This contribution provides a general framework to use Lagrange multipliers for the simulation of low Reynolds number fiber dynamics based on Bead Models (BM). This formalism provides an efficient method to account for kinematic constraints.…

Fluid Dynamics · Physics 2015-05-20 Blaise Delmotte , Eric Climent , Franck Plouraboue

In spite of the great success that all-atom molecular dynamics simulations have seen in revealing the nature of the lipid bilayer, the interplay between a membrane's curvature and dynamics remains elusive. This is largely due to the…

Soft Condensed Matter · Physics 2022-07-26 Christopher Kang , Kazuumi Fujioka , Rui Sun

We propose a model describing liquid-solid phase coexistence in mixed lipid membranes by including explicitly the occurrence of a rippled phase. For a single component membrane, we employ a previous model in which the membrane thickness is…

Soft Condensed Matter · Physics 2012-01-31 N. Shimokawa , S. Komura , D. Andelman

An interfacial regularized Stokeslet scheme is presented to predict the motion of solid bodies (e.g. proteins or gel-phase domains) embedded within flowing lipid bilayer membranes. The approach provides a numerical route to calculate…

Biological Physics · Physics 2019-10-23 Brian A. Camley , Frank L. H. Brown

We use coarse-grained Monte Carlo simulations to study the elastic properties of charged membranes in solutions of monovalent and pentavalent counterions. The simulation results of the two cases reveal trends opposite to each other. The…

Soft Condensed Matter · Physics 2014-09-12 Yotam Y. Avital , Niels Grønbech-Jensen , Oded Farago

We study a continuum model of the lipid bilayer based on minimizing the free energy of a mixture of water and lipid molecules. This paper extends previous work by Blom & Peletier (2004) in the following ways. (a) It formulates a more…

Soft Condensed Matter · Physics 2020-06-05 Phillip L. Wilson , Huaxiong Huang , Shu Takagi

We study membrane-protein interactions and membrane-mediated protein-protein interactions by Monte Carlo simulations of a generic coarse-grained model for lipid bilayers with cylindrical hydrophobic inclusions. The strength of the…

Biological Physics · Physics 2009-11-13 Beate West , Frank L. H. Brown , Friederike Schmid

Near a critical point, the time scale of thermally-induced fluctuations diverges in a manner determined by the dynamic universality class. Experiments have verified predicted 3D dynamic critical exponents in many systems, but similar…

Statistical Mechanics · Physics 2015-05-27 Aurelia R. Honerkamp-Smith , Benjamin B. Machta , Sarah L. Keller

The Gaussian (saddle splay) rigidity of fluid membranes controls their equilibrium topology but is notoriously difficult to measure. In lipid mixtures, typical of living cells, linear interfaces separate liquid ordered (LO) from liquid…

Soft Condensed Matter · Physics 2020-11-04 Piermarco Fonda , Sami C. Al-Izzi , Luca Giomi , Matthew S. Turner

Lipid bilayer membranes below their main transition have two tilt order parameters, corresponding to the two monolayers. These two tilts may be strongly coupled to membrane shape but only weakly coupled to each other. We discuss some…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Julian Shillcock , Philip Nelson

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

Bilayer membranes self-assembled from amphiphilic molecules such as lipids, surfactants and block copolymers are ubiquitous in biological and physiochemical systems. The shape and structure of bilayer membranes depend crucially on their…

Soft Condensed Matter · Physics 2016-01-20 Pingwen Zhang , An-Chang Shi

This review describes the analytical calculation of lateral pressure profile in lipid membrane with finite curvature. The derivation is based on the previously developed microscopic model of flexible strings [1,2]. According to this theory…

Soft Condensed Matter · Physics 2016-07-08 Anna A. Drozdova

The plasma membrane of human red blood cells consists of a lipid bilayer attached to a regular network of underlying cytoskeletal polymers. We model this system at a dynamic coarse-grained level, treating the bilayer as an elastic sheet and…

Subcellular Processes · Quantitative Biology 2009-11-13 Rui Zhang , Frank L. H. Brown

The electric structure of twisted bilayer GeSe, which shows a rectangular moir\'{e} pattern, is analyzed using a $\bm{k}\cdot\bm{p}$ type effective continuum model. The effective model is constructed on the basis of the the local…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Manato Fujimoto , Toshikaze Kariyado

We review recent molecular dynamics simulations of thermally activated undulations and defects in the lamellar $L_\alpha$ phase of a binary amphiphile-solvent mixture, using an idealized molecular coarse-grained model: Solvent particles are…

Soft Condensed Matter · Physics 2009-11-11 Claire Loison , Michel Mareschal , Friederike Schmid