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A continuum electromechanical model is proposed to describe the membrane curvature induced by electrostatic interactions in a solvated protein-membrane system. The model couples the macroscopic strain energy of membrane and the…

Quantitative Methods · Quantitative Biology 2015-05-19 Y. C. Zhou , Benzhuo Lu , Alemayehu A. Gorfe

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

A cell membrane can be simply regarded as composite material consisting of lipid bilayer, membrane cytoskeleton beneath lipid bilayer, and proteins embedded in lipid bilayer and linked with membrane cytoskeleton if one only concerns its…

Other Quantitative Biology · Quantitative Biology 2007-06-26 Z. C. Tu , R. An , Z. C. Ou-Yang

The recent discovery of electro-active polymers has shown great promises in the field of soft robotics, and was logically followed by experimental, numerical and theoretical developments. Most of these studies were concerned with systems…

Soft Condensed Matter · Physics 2020-12-07 Hadrien Bense , Benoît Roman , Bruno Andreotti

Random lateral translocation of lipids and proteins is a universal process on membrane surfaces. Local aggregation or organization of lipids and proteins can be induced when this lateral random diffusion is mediated by the electrostatic…

Quantitative Methods · Quantitative Biology 2015-06-03 Y. C. Zhou

We propose a very simple but realistic enough model which allows to include a large number of molecules in molecular dynamics MD simulations of these bilayers, but nevertheless taking into account molecular charge distributions, flexible…

Soft Condensed Matter · Physics 2009-11-13 Z. Gamba

I derive formulas for the electrostatic potential of a charge in or near a membrane modeled as one or more dielectric slabs lying between two semi-infinite dielectrics. One can use these formulas in Monte Carlo codes to compute the…

Quantitative Methods · Quantitative Biology 2015-05-27 Kevin Cahill

The electrostatic contribution to spontaneous membrane curvature is calculated within Poisson-Boltzmann theory under a variety of assumptions and emphasizing parameters in the physiological range. Asymmetric surface charges, either fixed…

Condensed Matter · Physics 2009-10-28 Tom Chou , Marko V. Jaric' , Eric D. Siggia

For many biotechnological applications it would be useful to better understand the effects produced by electric fields on lipid membranes. This review discusses several aspects of the electrostatic properties of a planar lipid membrane with…

Soft Condensed Matter · Physics 2014-11-25 Falko Ziebert , David Lacoste

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

Geometric continuum models for fluid lipid membranes are considered using classical field theory, within a covariant variational approach. The approach is cast as a higher-derivative Lagrangian formulation of continuum classical field…

Mathematical Physics · Physics 2017-09-14 Riccardo Capovilla

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

We study the elastic response of bilayer membranes with fixed projected area to both stretching and shape deformations. A surface tension is associated to each of these deformations. By using model amphiphilic membranes and computer…

Soft Condensed Matter · Physics 2009-11-11 Alberto Imparato

The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status in theoretical and experimental studies on the shapes of…

Soft Condensed Matter · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

We consider the hydrodynamics of lipid bilayers containing transmembrane proteins of arbitrary shape. This biologically-motivated problem is relevant to the cell membrane, whose fluctuating dynamics play a key role in phenomena ranging from…

Soft Condensed Matter · Physics 2016-10-10 Andrew Callan-Jones , Marc Durand , Jean-Baptiste Fournier

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

We derived free energy functional of a bilayer lipid membrane from the first principles of elasticity theory. The model explicitly includes position-dependent mutual slide of monolayers and bending deformation. Our free energy functional of…

Soft Condensed Matter · Physics 2009-11-10 S. V. Baoukina , S. I. Mukhin

The coupling of electric fields to the mechanics of lipid membranes gives rise to intriguing electromechanical behavior, as, for example, evidenced by the deformation of lipid vesicles in external electric fields. Electromechanical effects…

Soft Condensed Matter · Physics 2025-02-25 Yannick A. D. Omar , Zachary G. Lipel , Kranthi K. Mandadapu

We present Monte Carlo simulations of an ultra coarse-grained lipid bilayer with different number of lipids on both leaflets. In the simulations, we employ a new method for measuring the elastic parameters of the membrane, including the…

Soft Condensed Matter · Physics 2025-05-20 Oded Farago

The elastic properties of a self-assembled bilayer membrane are studied using the self-consistent field theory, applied to a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents. Examining the…

Biological Physics · Physics 2013-07-19 Jianfeng Li , Kyle A. Pastor , An-Chang Shi , Friederike Schmid , Jiajia Zhou
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