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Related papers: Pore formation phase diagrams for lipid membranes

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The theory of irreversible thermodynamics for arbitrarily curved lipid membranes is presented here. The coupling between elastic bending and irreversible processes such as intra-membrane lipid flow, intra-membrane phase transitions, and…

Soft Condensed Matter · Physics 2018-03-28 Amaresh Sahu , Roger A. Sauer , Kranthi K. Mandadapu

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

A compressible laminar boundary layer developing over an isotropic porous substrate is investigated by asymptotic and numerical methods. The substrate is modeled as an array of cubes. The momentum and enthalpy balance equations are derived…

Fluid Dynamics · Physics 2025-08-15 Ludovico Fossà , Pierre Ricco

The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the…

Fluid Dynamics · Physics 2017-10-16 Karen Alim , Shima Parsa , David A. Weitz , Michael P. Brenner

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

It is well known that lipid membranes respond to a threshold transmembrane electric field through a reversible mechanism called electroporation, where hydrophilic water pores form across the membrane, an effect widely used in biological…

Soft Condensed Matter · Physics 2023-04-17 Di Jin , Yu Zhang , Jacob Klein

Using binary hard disk mixture models, we studied the two-dimensional ordering of bacteriorhodopsins in a lipid bilayer. The phase diagrams were calculated using the thermodynamic perturbation theory. We examined two types of effective…

Soft Condensed Matter · Physics 2022-12-08 Keiju Suda Ayumi Suematsu Ryo Akiyama

Lipid membranes, the barrier defining living cells and many of their sub-compartments, bind to a wide variety of nano- and micro-meter sized objects. In the presence of strong adhesive forces, membranes can strongly deform and wrap the…

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

This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact solutions to the shape equation of lipid vesicles; (ii) exact…

Soft Condensed Matter · Physics 2017-07-27 Z. C. Tu

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

Fluid Dynamics · Physics 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

Common models for two-phase lipid bilayer membranes are based on an energy that consists of an elastic term for each lipid phase and a line energy at interfaces. Although such an energy controls only the length of interfaces, the membrane…

Analysis of PDEs · Mathematics 2016-03-10 Michael Helmers

In order to better understand the interaction between pore-fluid overpressure and failure patterns in rocks we consider a porous elasto-plastic medium in which a laterally localized overpressure line source is imposed at depth below the…

Geophysics · Physics 2008-01-04 Alexander Rozhko , Yuri Podladchikov , François Renard

Area per lipid (APL) is an important property of biological and artificial membranes. Newly constructed bilayers are characterized by their APL and newly elaborated force fields must reproduce APL. Computer simulations of APL are very…

Materials Science · Physics 2015-06-23 Vitaly Chaban

Lipid rafts are heterogeneous dynamic lipid domains of the cell membranes that are involved in several biological processes, like protein and lipids specific transport and signaling. Our understanding of lipid raft formation is still…

The Helfrich energy is commonly used to model the elastic bending energy of lipid bilayers in membrane mechanics. The governing differential equations for certain geometric characteristics of the shape of the membrane can be obtained by…

Numerical Analysis · Mathematics 2020-05-27 P. Rangamani , A. Behzadan , M. Holst

A computationally efficient method to calculate the capillary pressure-saturation relations of immiscible multiphase flow on two-dimensional pore morphologies is presented here. The method is an extension of the Pore Morphology Method that…

Soft Condensed Matter · Physics 2025-01-14 Fernando Alonso-Marroquin , Martin P. Andersson

We consider the formation of finite-size domains in lipid bilayers consisting of saturated and hybrid lipids. First, we describe a monolayer model that includes a coupling between a compositional scalar field and a two-dimensional vectorial…

Soft Condensed Matter · Physics 2012-08-21 Yuichi Hirose , Shigeyuki Komura , David Andelman

In numerous solution-processed thin films, a complex morphology resulting from liquid-liquid phase separation (LLPS) or from polycrystallization arises during the drying or subsequent processing steps. The morphology has a strong influence…

Applied Physics · Physics 2022-06-28 Olivier J. J. Ronsin , Jens Harting

For regulated exocytosis, we model the morphology and dynamics of the making of the fusion pore or porosome as a cup-shaped lipoprotein structure (a dimple or pit) on the cytosol side of the plasma membrane. We describe the forming of the…

Analysis of PDEs · Mathematics 2011-11-17 Darya Apushkinskaya , Evgeny Apushkinsky , Bernhelm Booss-Bavnbek , Martin Koch