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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

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

Recent developments in lipid membrane models for simulations are reviewed. To reduce computational costs, various coarse-grained molecular models have been proposed. Among them, implicit solvent (solvent-free) molecular models are…

Soft Condensed Matter · Physics 2015-05-13 Hiroshi Noguchi

We present a mathematical model of polymer bilayers that undergo large bending deformations when actuated by non-mechanical stimuli such as thermal effects. The simple model captures a large class of nonlinear bending effects and can be…

Numerical Analysis · Mathematics 2017-12-06 Soeren Bartels , Andrea Bonito , Anastasia Muliana , Ricardo H. Nochetto

We use a simple and efficient computer model to investigate the physical properties of bilayer membranes. The amphiphilic molecules are modeled as short rigid trimers with finite range pair interactions between them. The pair potentials…

Soft Condensed Matter · Physics 2009-11-10 Oded Farago

We consider a model of bilayer lipid membrane with bola-lipids. The bola-lipid is modeled by linking tails of the hydrophobic chains in the opposite monolayers within bilayer as a first approximation. A number of thermodynamical…

Biomolecules · Quantitative Biology 2016-02-26 Sergei I. Mukhin , Boris B. Kheyfets

We propose a model that accounts for budding behavior of domains in lipid bilayers, where each of the bilayer leaflets has a coupling between its local curvature and local lipid composition. The compositional asymmetry between the two…

Soft Condensed Matter · Physics 2015-03-31 Jean Wolff , Shigeyuki Komura , David Andelman

In this study, we present a comprehensive exploration of formation of different phases in lipid molecules using a coarse-grained implicit solvent model, where each lipid molecule is represented as a rigid, three-bead rod-like structure. Our…

Soft Condensed Matter · Physics 2023-12-13 Biplab Bawali , Alokmay Datta , Jayashree Saha

The elastic properties of two-component bilayer membranes are studied using a coarse grain model for amphiphilic molecules. The two species of amphiphiles considered here differ only in their length. Molecular Dynamics simulations are…

Soft Condensed Matter · Physics 2007-05-23 Alberto Imparato , Julian C. Shillcock , Reinhard Lipowsky

In this work, we present a mathematical and computational framework to model the dynamics of open lipid bilayer membranes interacting with ambient Stokes flow. The model explicitly couples the three-dimensional viscous fluid, the…

Numerical Analysis · Mathematics 2026-01-21 Han Zhou , Yuan-Nan Young , Yoichiro Mori

We examine the budding of a nanoscale particle through a lipid bilayer using molecular dynamics simulations, free energy calculations, and an elastic theory, with the aim of determining the extent to which equilibrium elasticity theory can…

Subcellular Processes · Quantitative Biology 2012-02-22 Teresa Ruiz-Herrero , Enrique Velasco , Michael F. Hagan

Experiments on supported lipid bilayers featuring liquid ordered/disordered domains have shown that the spatial arrangement of the lipid domains and their chemical composition are strongly affected by the curvature of the substrate.…

Soft Condensed Matter · Physics 2021-02-17 Melissa Rinaldin , Piermarco Fonda , Luca Giomi , Daniela J. Kraft

We review recent computer simulation studies of undulating lipid bilayers. Theoretical interpretations of such fluctuating membranes are most commonly based on generalized Helfrich-type elastic models, with additional contributions of local…

Biological Physics · Physics 2013-09-03 Friederike Schmid

We theoretically investigate the relaxation dynamics of a nearly-flat binary lipid bilayer membrane by taking into account the membrane tension, hydrodynamics of the surrounding fluid, inter-monolayer friction and mutual diffusion in each…

Soft Condensed Matter · Physics 2016-05-05 Ryuichi Okamoto , Yuichi Kanemori , Shigeyuki Komura , Jean-Baptiste Fournier

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

Lipid membranes have complex compositions and modeling the thermodynamic properties of multi-component lipid systems remains a remote goal. In this work we attempt to describe the thermodynamics of binary lipid mixtures by mapping…

Soft Condensed Matter · Physics 2024-09-04 L. Berezovska , R. Kociurzynski , F. Thalmann

Relatively short peptides, such as toxins and antimicrobial-peptides, are known to insert themselves into cell membranes. On the basis of simple bead-spring models for the membrane lipids, the peptide, and water, detailed processes of the…

Soft Condensed Matter · Physics 2007-05-23 Mitsuharu Okazaki , Tomoki Watanabe , Naohito Urakami , Takashi Yamamoto

This chapter summarizes several approaches combining theory, simulation and experiment that aim for a better understanding of phenomena in lipid bilayers and membrane protein systems, covering topics such as lipid rafts, membrane mediated…

Biological Physics · Physics 2014-12-17 Markus Deserno , Kurt Kremer , Harald Paulsen , Christine Peter , Friederike Schmid

We study, using dissipative particle dynamics simulations, the effect of active lipid flip-flop on model fluid bilayer membranes. We consider both cases of symmetric as well as asymmetric flip-flops. Symmetric flip-flop leads to a steady…

Soft Condensed Matter · Physics 2009-11-13 Sanoop Ramachandran , P. B. Sunil Kumar , Mohamed Laradji

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic…

Soft Condensed Matter · Physics 2007-05-23 A. Concha , J. W. McIver , P. Mellado , D. Clarke , O. Tchernyshyov , R. L. Leheny