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We identify a class of composite membranes: fluid bilayers coupled to an elastic meshwork, that are such that the meshwork's energy is a function $F_\mathrm{el}[A_\xi]$ \textit{not} of the real microscopic membrane area $A$, but of a…

Soft Condensed Matter · Physics 2011-03-02 Jean-Baptiste Fournier , David Lacoste , Elie Raphael

We analyze the non-equilibrium shape fluctuations of giant unilamellar vesicles encapsulating motile bacteria. Owing to bacteria--membrane collisions, we experimentally observe a significant increase in the magnitude of membrane…

Soft Condensed Matter · Physics 2020-04-22 Sho C. Takatori , Amaresh Sahu

We investigate the properties of membranes under tension by Monte-Carlo simulations of a generic coarse-grained model for lipid bilayers. We give a comprising overview of the behavior of several membrane characteristics, such as the area…

Biological Physics · Physics 2010-03-17 Jörg Neder , Beate West , Peter Nielaba , Friederike Schmid

Membrane bending is an extensively studied problem from both modeling and experimental perspectives because of the wide implications of curvature generation in cell biology. Many of the curvature generating aspects in membranes can be…

Soft Condensed Matter · Physics 2021-07-21 Arijit Mahapatra , David Saintillan , Padmini Rangamani

The role of the polymer volume fraction, $\phi$, on steady state slippage and interfacial friction is investigated for a semi-dilute polystyrene solutions in diethyl phthalate in contact with two solid surfaces. Signicant slippage is…

Stripe-like domains of Langmuir monolayers formed by surfactants with partially fluorinated lipid anchors (F-alkyl lipids) are observed at the gas-liquid phase coexistence. The average periodicity of the stripes, measured by fluorescence…

Soft Condensed Matter · Physics 2008-06-23 Matthias F. Schneider , David Andelman , Motomu Tanaka

Hydrophobic thickness mismatch between integral membrane proteins and the surrounding lipid bilayer can produce lipid bilayer thickness deformations. Experiment and theory have shown that protein-induced lipid bilayer thickness deformations…

Biomolecules · Quantitative Biology 2016-11-04 Osman Kahraman , Peter D. Koch , William S. Klug , Christoph A. Haselwandter

The biological function of membranes is closely related to their softness, which is often studied through the membranes' thermally-driven fluctuations. The analysis commonly assumes that the relaxation rate of a pure bending deformation is…

Soft Condensed Matter · Physics 2024-07-09 Hammad A. Faizi , Rony Granek , Petia M. Vlahovska

Gaining access to the cell interior is fundamental for many applications, such as electrical recording, drug and biomolecular delivery. A very promising technique consists of culturing cells on nano/micro pillars. The tight adhesion and…

We analyze both the static and dynamic fluctuation spectrum of the red-blood cell in a unified manner, using a simple model of the composite membrane. In this model, the two-dimensional spectrin network that forms the cytoskeleton is…

Soft Condensed Matter · Physics 2007-05-23 N. Gov , A. G. Zilman , S. Safran

We present a nonequlibrium approach for the study of a flexible bilayer whose two components induce distinct curvatures. In turn, the two components are interconverted by an externally promoted reaction. Phase separation of the two species…

Soft Condensed Matter · Physics 2009-11-11 Ramon Reigada , Javier Buceta , Katja Lindenberg

Statistical ensembles of flexible two-dimensional fluid membranes arise naturally in the description of many physical systems. Typically one encounters such systems in a regime of low tension but high stiffness against bending, which is…

Condensed Matter · Physics 2016-08-31 Philip Nelson , Thomas Powers

Particles diffusing near interfaces face anisotropic resistance to motion due to hydrodynamic interactions. While this has been extensively studied near \textit{hard} interfaces since the works of Lorentz and Brenner, our understanding of…

Soft Condensed Matter · Physics 2026-03-03 Ali Mohammadi , Zhen Li , Sophie Marbach , Micheline Abbas

We derive and analyse an energy to model lipid raft formation on biological membranes involving a coupling between the local mean curvature and the local composition. We apply a perturbation method recently introduced by Fritz, Hobbs and…

Analysis of PDEs · Mathematics 2020-12-24 Charles M. Elliott , Luke Hatcher

We model membrane proteins as anisotropic objects characterized by symmetric-traceless tensors and determine the coupling between these order-parameters and membrane curvature. We consider the interactions between transmembrane proteins…

Condensed Matter · Physics 2009-10-28 Jeong-Man Park , T. C. Lubensky

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

A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a…

Analysis of PDEs · Mathematics 2016-06-29 Charles M. Elliott , Carsten Gräser , Graham Hobbs , Ralf Kornhuber , Maren-Wanda Wolf

The organization of lipids in biological membranes is essential for cellular functions such as signal transduction and membrane trafficking. A major challenge is how to control lateral lipid composition in supported membranes which are…

Soft Condensed Matter · Physics 2016-08-31 Qing Liang , Yu-qiang Ma

We study a simple heteropolymer model containing sequence-independent local interactions on both square and triangular lattices. Sticking to a two-letter code, we investigate the model for varying strength $\kappa$ of the local…

Soft Condensed Matter · Physics 2009-10-30 Anders Irbäck , Erik Sandelin

Peripheral membrane proteins can reversibly and specifically bind to biological membranes to carry out functions such as cell signalling, enzymatic activity, or membrane remodelling. Structures of these proteins and of their lipid-binding…

Biological Physics · Physics 2023-11-14 Andreas Haahr Larsen , Laura H. John , Mark S. P. Sansom , Robin A. Corey