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We formulate a theory of electrostatic interactions in lipid bilayer membranes where both monolayer leaflets contain dissociable moieties that are subject to charge regulation. We specifically investigate the coupling between membrane…

Soft Condensed Matter · Physics 2022-04-01 Petch Khunpetch , Arghya Majee , Rudolf Podgornik

A phase-field model for dealing with dynamic instabilities in membranes is presented. We use it to study curvature-driven pearling instability in vesicles induced by the anchorage of amphiphilic polymers on the membrane. Within this model,…

Quantitative Methods · Quantitative Biology 2011-11-10 F. Campelo , A. Hernandez-Machado

Adsorption of proteins onto membranes can alter the local membrane curvature. This phenomenon has been observed in biological processes such as endocytosis, tubulation and vesiculation. However, it is not clear how the local surface…

Cell Behavior · Quantitative Biology 2016-04-28 Padmini Rangamani , Kranthi Kiran Mandadapu , George Oster

Soluble alpha-amylases play an important role in the catabolism of polysaccharides. In this work, we show that the enzyme can interact with the lipid membrane and further alter its mechanical properties. Vesicle fluctuation spectroscopy is…

The assembly of curved protein rods on fluid membranes is studied using implicit-solvent meshless membrane simulations. As the rod curvature increases, the rods on a membrane tube assemble along the azimuthal direction first and…

Soft Condensed Matter · Physics 2016-05-18 Hiroshi Noguchi

A phase field model for dealing with shape instabilities in fluid membrane vesicles is presented. This model takes into account the Canham-Helfrich bending energy with spontaneous curvature. A dynamic equation for the phase-field is also…

Soft Condensed Matter · Physics 2007-07-26 F. Campelo , A. Hernandez-Machado

We develop theory and computational methods to investigate particle inclusions embedded within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles where inclusion particles are coupled through (i) intramembrane…

Soft Condensed Matter · Physics 2023-02-28 Jon Karl Sigurdsson , Paul J. Atzberger

The quantitative understanding of membranes is still rooted in work performed in the 1970s by Helfrich and others, concerning amphiphilic bilayers. However, most biological membranes contain a wide variety of nonamphiphilic molecules too.…

Soft Condensed Matter · Physics 2014-06-10 Richard G. Morris

The study of vesicles in suspension is important to understand the complicated dynamics exhibited by cells in vivo and in vitro. We developed a computer simulation based on the boundary-integral method to model the three dimensional…

Biological Physics · Physics 2013-07-24 Ivan Rey Suarez , Chad Leidy , Gabriel Tellez , Guillaume Gay , Andres Gonzalez-Mancera

There are a great many proteins that localize to and collectively generate curvature in biological fluid membranes. We study changes in the topology of fluid membranes due to the presence of highly anisotropic, curvature-inducing proteins.…

Soft Condensed Matter · Physics 2015-05-19 Kiyotaka Akabori , C. D. Santangelo

The morphology of spherically confined flexoelectric fluid membrane vesicles in an external uniform electric field is studied numerically. Due to the deformations induced by the confinement, the membrane becomes polarized resulting in an…

Biological Physics · Physics 2020-11-03 Niloufar Abtahi , Lila Bouzar , Nadia Saidi-Amroun , Martin Michael Müller

A model of vesicle electrodeformation is described which obtains a parametrized vesicle shape by minimizing the sum of the membrane bending energy and the energy due to the electric field. Both the vesicle membrane and the aqueous media…

Biological Physics · Physics 2010-08-23 Primoz Peterlin

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

The adhesion of a lipid membrane vesicle to a fixed substrate is examined from a geometrical point of view. This vesicle is described by the Helfrich hamiltonian quadratic in mean curvature; it interacts by contact with the substrate, with…

Soft Condensed Matter · Physics 2009-11-07 Riccardo Capovilla , Jemal Guven

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

In multicomponent membranes, internal scalar fields may couple to membrane curvature, thus renormalizing the membrane elastic constants and destabilizing the flat membranes. Here, a general elasticity theory of membranes is considered that…

Soft Condensed Matter · Physics 2018-03-07 S. Alex Rautu

We develop an analytical theory to explain the experimentally-observed morphological transitions of giant vesicles induced by AC electric fields (1). The model treats the inner and suspending media as lossy dielectrics, while the membrane…

Biological Physics · Physics 2015-05-13 Petia Vlahovska , Ruben Serral Gracia , Said Aranda , Rumiana Dimova

The behavior of a non-conductive quasi-planar lipid membrane in an electrolyte and in a static (DC) electric field is investigated theoretically in the nonlinear (Poisson-Boltzmann) regime. Electrostatic effects due to charges in the…

Soft Condensed Matter · Physics 2015-05-18 Falko Ziebert , David Lacoste

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

Bolaamphiphilesamphiphilic molecules with polar groups at each of the two ends of a hydrophobic tail with pH-sensitive spontaneous molecular curvaturesendow membranes of extremophiles with an exquisite balance between stability (or…

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