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Several numerical methods for measuring the bending rigidity and the spontaneous curvature of fluid membranes are studied using two types of meshless membrane models. The bending rigidity is estimated from the thermal undulations of planar…

Soft Condensed Matter · Physics 2011-11-16 Hayato Shiba , Hiroshi Noguchi

Lipid bilayer membranes are flexible thin laterally fluid films consisting of two unimolecular layers of lipids. On spatial scales much larger than the bilayer thickness, the membrane elasticity is well determined by its shape and…

Biological Physics · Physics 2020-10-20 Konstantin V. Pinigin , Peter I. Kuzmin , Sergey A. Akimov , Timur R. Galimzyanov

The organization of lipids in biological membranes is essential for cellular functions such as signal transduction and membrane trafficking. A major challenge is how to control lateral lipid composition in supported membranes which are…

Soft Condensed Matter · Physics 2016-08-31 Qing Liang , Yu-qiang Ma

With the aim of establishing a criterion for identifying when a lipid bilayer has reached steady state using the molecular dynamics simulation technique, lipid bilayers of different composition in their liquid crystalline phase were…

Soft Condensed Matter · Physics 2012-12-13 Rodolfo D. Porasso , José J. López Cascales

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

Fluid-structure simulations of slender inextensible filaments in a viscous fluid are often plagued by numerical stiffness. Recent coarse-graining studies have reduced the computational requirements of simulating such systems, though have…

Fluid Dynamics · Physics 2021-01-04 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney

We study a slender filament beating in a viscous fluid with novel curvature-dependent bending stiffness. Our numerical and experimental investigations reveal that such differential stiffness can sustain planar bending waves far along…

Many of the cell membrane vital functions are achieved by the self-organization of the proteins and biopolymers embedded in it. The protein dynamics are in part determined by its drag. A large number of these proteins can polymerize to form…

Fluid Dynamics · Physics 2023-09-13 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

We discuss different mechanisms for curvature-induced domain formation in multicomponent lipid membranes and present a theoretical model that allows us to study the interplay between the domains. The model represents the membrane by two…

Biological Physics · Physics 2015-11-12 Leonie Brodbek , Friederike Schmid

We propose a robust simulation method for phospholipid membranes. It is based on a mixed three-field formulation that accounts for tangential fluidity (Boussinesq-Scriven law), bending elasticity (Canham-Helfrich model) and inextensibility.…

Numerical Analysis · Mathematics 2018-06-18 Diego S. Rodrigues , Roberto F. Ausas , Fernando Mut , Gustavo C. Buscaglia

From the perspective of physical properties, the cell membrane is an exotic two-dimensional material that has a dual nature: it exhibits characteristics of fluids, i.e., lipid molecules show lateral diffusion, while also demonstrating…

Soft Condensed Matter · Physics 2024-04-19 Vikash Pandey , Dhrubaditya Mitra

The membrane curvature of cells and intracellular compartments continuously adapts to enable cells to perform vital functions, from cell division to signal trafficking. Understanding how membrane geometry affects these processes in vivo is…

We study the relaxation dynamics of a compressible bilayer vesicle with an asymmetry in the viscosity of the inner and outer fluid medium. First we explore the stability of the vesicle free energy which includes a coupling between the…

Soft Condensed Matter · Physics 2017-01-03 T. V. Sachin Krishnan , Ryuichi Okamoto , Shigeyuki Komura

Understanding interactions between membranes requires measurements on well-controlled systems close to natural conditions, in which fluctuations play an important role. We have determined, by grazing incidence X-ray scattering, the…

Blebs are balloon-shaped membrane protrusions that form during many physiological processes. Using computer simulation of a particle-based model for self-assembled lipid bilayers coupled to an elastic meshwork, we investigated the phase…

Biological Physics · Physics 2015-05-30 Eric J. Spangler , Cameron W. Harvey , Joel D. Revalee , P. B. Sunil Kumar , Mohamed Laradji

Whether live cell membranes show miscibility phase transitions (MPTs), and if so, how they fluctuate near the transitions remain outstanding unresolved issues in physics and biology alike. Motivated by these questions we construct a generic…

Soft Condensed Matter · Physics 2017-12-01 Tirthankar Banerjee , Abhik Basu

We present a coarse-grained model for linear polymers with a tunable number of effective atoms (blobs) per chain interacting by intra- and inter-molecular potentials obtained at zero density. We show how this model is able to accurately…

Soft Condensed Matter · Physics 2012-07-17 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

In this paper, we present a computational framework based on fully Eulerian models for fluid-structure interaction for the numerical simulation of biological capsules. The flexibility of such models, given by the Eulerian treatment of the…

Fluid Dynamics · Physics 2024-03-20 Florian Desmons , Thomas Milcent , Anne-Virginie Salsac , Mirco Ciallella

Amphiphilic polymers in aqueous solutions can self-assemble to form bilayer membranes, and their elastic properties can be captured by the well-known Helfrich model involving several elastic constants. In this paper, we employ the…

Soft Condensed Matter · Physics 2024-03-06 Yongshun Luo , Min Yang , Sirui Li , Yana Di , Yongqiang Cai

We study the phase behavior of multicomponent lipid bilayer vesicles that can exhibit intriguing morphological patterns and lateral phase separation. We use a modified Landau-Ginzburg model capable of describing spatially uniform phases,…

Soft Condensed Matter · Physics 2018-06-22 Yongtian Luo , Lutz Maibaum