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We investigate pores in fluid membranes by molecular dynamics simulations of an amphiphile-solvent mixture, using a molecular coarse-grained model. The amphiphilic membranes self-assemble into a lamellar stack of amphiphilic bilayers…

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

The free energy of inserting a protein into a membrane is determined by considering the variation in the spectrum of thermal fluctuations in response to the presence of a rigid inclusion. Both numerically and through a simple analytical…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Oded Farago

Gas transport across cell membrane is a very important process in biochemistry which is essential for many crucial tasks, including cell respiration pH regulation in the cell. In the late 1990's, the suggestion that gasses are transported…

Numerical Analysis · Mathematics 2026-01-29 Alberto Bocchinfuso , Daniela Calvetti , Erkki Somersalo

Transport of liquid mixtures through porous membranes is central to processes such as desalination, chemical separations and energy harvesting, with ultrathin membranes made from novel 2D nanomaterials showing exceptional promise. Here we…

Soft Condensed Matter · Physics 2019-08-06 Daniel J. Rankin , Lydéric Bocquet , David M. Huang

We consider a membrane both weakly and strongly adhering to a geometrically structured substrate. The interaction potential is assumed to be local, via the Deryagin approximation, and harmonic. Consequently, we can analytically describe a…

Soft Condensed Matter · Physics 2007-05-23 P. S. Swain , David Andelman

Past work has shown that ions can pass through a membrane more readily in one direction than the other. We demonstrate here in a model and an experiment that for a mixture of small and large particles such asymmetric diffusion can arise…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Shaw , Norman Packard , Matthias Schröter , Harry L. Swinney

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

A model describing cell membranes as optimal shapes with regard to the $L^2$-deficit of their mean curvature to a given constant called spontaneous curvature is considered. It is shown that the corresponding energy functional is lower…

Differential Geometry · Mathematics 2023-11-01 Christian Scharrer

The filters work in many areas of technology. There constructions are different and substances under filtration are different. It is necessary in some cases to take into account forming of sediments on the walls of the filter since they can…

Numerical Analysis · Mathematics 2021-03-25 Yuri Troshchiev

Flows enabled by phoretic mechanisms are of significant interest in several biological and biomedical processes, such as bacterial motion and targeted drug delivery. Here, we develop a homogenization-based macroscopic boundary condition…

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

An analytical model of mechanical stress in a polymer electrolyte membrane (PEM) of a hydrogen/air fuel cell with porous Water Transfer Plates (WTP) is developed in this work. The model considers a mechanical stress in the membrane is a…

Membranes act as selective barriers and play an important role in processes such as cellular compartmentalization and industrial-scale chemical and gas purification. The ideal membrane should be as thin as possible to maximize flux,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Steven P. Koenig , Luda Wang , John Pellegrino , J. Scott Bunch

We introduce and study the behavior of a tethered membrane of non-zero thickness embedded in three dimensions subject to an effective self-attraction induced by hydrophobicity arising from the tendency to minimize the area exposed to a…

Soft Condensed Matter · Physics 2012-06-12 Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

We study the linearized hydrodynamics of a two-component fluid membrane near a repulsive wall, via a model which incorporates curvature- concentration coupling as well as hydrodynamic interactions. This model is a simplified version of a…

Soft Condensed Matter · Physics 2009-11-07 Sumithra Sankararaman , Gautam I. Menon , P. B. Sunil Kumar

We use numerical simulations to examine two-dimensional particle mixtures that strongly phase separate in equilibrium. When the system is externally driven in the presence of quenched disorder, plastic flow occurs in the form of meandering…

Statistical Mechanics · Physics 2009-11-13 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

To overcome the traditional paradigm of filtration, where separation is essentially performed upon steric sieving principles, we explore the concept of dynamic osmosis through active membranes. A partially permeable membrane presents a…

Soft Condensed Matter · Physics 2020-02-10 Sophie Marbach , Nikita Kavokine , Lyderic Bocquet

Fluctuation spectra of fluid compound membrane systems are calculated. The systems addressed contain two (or more) almost parallel membranes that are connected by harmonic tethers or by a continuous, harmonic confining potential.…

Soft Condensed Matter · Physics 2008-12-08 Rolf-Juergen Merath , Udo Seifert

We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigid discrete objects which are free to move and rotate in…

Analysis of PDEs · Mathematics 2021-04-29 Tobias Kies , Carsten Gräser

Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of blebbing in terms of a force balance. It is abstract and…

Numerical Analysis · Mathematics 2020-03-03 Björn Stinner , Andreas Dedner , Adam Nixon