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Related papers: Thermal fluctuations and osmotic stability of lipi…

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We explore how thermal fluctuations affect the mechanics of thin amorphous spherical shells. In flat membranes with a shear modulus, thermal fluctuations increase the bending rigidity and reduce the in-plane elastic moduli in a…

Soft Condensed Matter · Physics 2017-01-18 Andrej Kosmrlj , David R. Nelson

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

Soft Condensed Matter · Physics 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

We review the dynamical behavior of giant fluid vesicles in various types of external hydrodynamic flow. The interplay between stresses arising from membrane elasticity, hydrodynamic flows, and the ever present thermal fluctuations leads to…

Soft Condensed Matter · Physics 2014-05-12 David Abreu , Michael Levant , Victor Steinberg , Udo Seifert

We develop a self-consistent free-energy framework in which membrane shape and osmotic pressure are determined simultaneously in a finite reservoir by minimizing bending elasticity and solute entropy. Solute conservation makes osmotic…

The response of lipid bilayers to osmotic stress is an important part of cellular function. Previously, in [Oglecka et al. 2014], we reported that cell-sized giant unilamellar vesicles (GUVs) exposed to hypotonic media, respond to the…

Biological Physics · Physics 2017-05-03 Morgan Chabanon , James C. S. Ho , Bo Liedberg , Atul N. Parikh , Padmini Rangamani

We amplify previous arguments why mean curvature should be used as measure of integration in calculating the effective bending rigidity of fluid membranes subjected to a weak background curvature. The stiffening of the membrane by its…

Statistical Mechanics · Physics 2009-10-31 H. A. Pinnow , W. Helfrich

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

One of the most widely used methods for determination of the bending elasticity modulus of model lipid membranes is the analysis of the shape fluctuations of nearly spherical lipid vesicles. The theoretical basis of this analysis is given…

Soft Condensed Matter · Physics 2019-09-04 Isak Bivas , Nicholay S. Tonchev

In this work, we consider the stability of a spherical shell under combined loading from a uniform external pressure and a homogenous natural curvature. Non-mechanical stimuli, such as one that tends to modify the rest curvature of an…

Soft Condensed Matter · Physics 2020-08-26 Douglas P. Holmes , Jeong-Ho Lee , Harold S. Park , Matteo Pezzulla

Theoretical studies of nearly spherical vesicles and microemulsion droplets, that present typical examples for thermally-excited systems that are subject to constraints, are reviewed. We consider the shape fluctuations of such systems…

Soft Condensed Matter · Physics 2021-04-28 Nicholay S. Tonchev

We describe the growth of vesicles, due to the accretion of lipid molecules to their surface, in terms of linear irreversible thermodynamics. Our treatment differs from those previously put forward by consistently including the energy of…

Statistical Mechanics · Physics 2009-11-13 Duccio Fanelli , Alan J. McKane

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

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

We study the effects of thermal fluctuations on symmetric tensionless heterogeneous (two-component) fluid membranes in a simple minimal model. Close to the critical point $T_c$ of the associated miscibility phase transition of the…

Statistical Mechanics · Physics 2015-06-23 Tirthankar Banerjee , Abhik Basu

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

We theoretically investigate the thermally-driven curvature and lipid density fluctuations of a quasi-spherical vesicle, accounting for the dissipation due to monolayer viscosity and intermonolayer friction. The theory predicts that…

Soft Condensed Matter · Physics 2026-05-06 Petia M. Vlahovska , Rony Granek

Fluid membranes made out of lipid bilayers are the fundamental separation structure in eukaryotic cells. Many physiological processes rely on dramatic shape and topological changes (e.g. fusion, fission) of fluid membrane systems. Fluidity…

Numerical Analysis · Mathematics 2010-07-29 Marino Arroyo , Antonio DeSimone , Luca Heltai

Biological membranes are able to exhibit various morphology due to the fluidity of the lipid molecules within the monolayers. The shape transformation of membranes has been well described by the classical Helfrich theory, which consists…

Soft Condensed Matter · Physics 2023-02-24 Mei-Ting Wang , Rui Ma , Chen-Xu Wu

We investigate the stability of growing vesicles using the formalism of nonequilibrium thermodynamics. The vesicles are growing due to the accretion of lipids to the bilayer which forms the vesicle membrane. The thermodynamic description is…

Soft Condensed Matter · Physics 2011-07-06 Richard G. Morris , Alan J. McKane

Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially-varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and…

Soft Condensed Matter · Physics 2023-06-22 Prerna Gera , David Salac , Saverio E. Spagnolie
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