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To understand mechanism of cell-membrane compartmentalization, we studied coarse-grained model systems consisting of lipid and cholesterol molecules. Cholesterol plays crucial role in lateral phase segregation in the bilayered lipid…

Soft Condensed Matter · Physics 2020-02-03 Tanay Paul , Jayashree Saha

We consider a model of bilayer lipid membrane with interdigitation, in which the lipid tails of the opposite monolayers interpenetrate. The interdigitation is modeled by linking tails of the hydrophobic chains in the opposite monolayers…

Quantitative Methods · Quantitative Biology 2009-02-25 Sergei I. Mukhin , Boris B. Kheyfets

Membrane organization is essential for cellular functions such as signal transduction and membrane trafficking. A major challenge is to understand the lateral heterogeneous structures in membranes and membrane fluidity in the presence of…

Soft Condensed Matter · Physics 2007-11-09 Chun-Lai Ren , Yu-qiang Ma

Wetting phenomena, molecular protrusions of lipid bilayers and membrane stacks under lateral tension provide physical examples for interacting surfaces with tension. Such surfaces are studied theoretically using functional renormalization…

Statistical Mechanics · Physics 2009-10-31 A. Volmer , U. Seifert , R. Lipowsky

We establish a biophysical model for the dynamics of lipid vesicles exposed to surfactants. The solubilization of the lipid membrane due to the insertion of surfactant molecules induces a reduction of membrane surface area at almost…

Biological Physics · Physics 2019-04-24 Morgan Chabanon , Padmini Rangamani

Simulating protein-membrane interactions is an important and dynamic area of research. A proper definition of electrostatic forces on membrane surfaces is necessary for developing electromechanical models of protein-membrane interactions.…

Analysis of PDEs · Mathematics 2013-09-24 Michael Mikucki , Y. C. Zhou

In an effort to understand ``rafts'' in biological membranes, we propose phenomenological models for saturated and unsaturated lipid mixtures, and lipid-cholesterol mixtures. We consider simple couplings between the local composition and…

Soft Condensed Matter · Physics 2009-11-10 Shigeyuki Komura , Hisashi Shirotori , Peter D. Olmsted , David Andelman

In this work, we study a phase-field model for curvature-driven pattern formation in biomembranes. The model is derived as a gradient flow of an energy functional that approximates the two-phase Canham--Helfrich energy. This leads to a…

Analysis of PDEs · Mathematics 2025-11-27 Patrik Knopf , Anastasija Pešić , Dennis Trautwein

A coarse-grained molecular model, which consists of a spherical particle and an orientation vector, is proposed to simulate lipid membrane on a large length scale. The solvent is implicitly represented by an effective attractive interaction…

Soft Condensed Matter · Physics 2015-05-20 Hiroshi Noguchi

Consider a lipid membrane with a free exposed edge. The energy describing this membrane is quadratic in the extrinsic curvature of its geometry; that describing the edge is proportional to its length. In this note we determine the boundary…

Soft Condensed Matter · Physics 2009-11-07 R. Capovilla , J. Guven , J. A. Santiago

Lipid bilayer membranes are not uniform and clusters of lipids in a more ordered state exist within the generally disorder lipid milieu of the membrane. These clusters of ordered lipids microdomains are now referred to as lipid rafts.…

Quantitative Methods · Quantitative Biology 2017-06-28 Melissa R. Adkins , Y. C. Zhou

Bilayer lipid membranes [BLMs] are an essential component of all biological systems, forming a functional barrier for cells and organelles from the surrounding environment. The lipid molecules that form membranes contain both permanent and…

Biological Physics · Physics 2015-03-17 Richard J. Bingham , Peter D. Olmsted , Stephen W. Smye

Motivated by the experimental study of Tayebi et al. [Nature Mater. 11, 1074 (2012)] on phase separation of stacked multi-component lipid bilayers, we propose a model composed of stacked two-dimensional Ising spins. We study both its static…

Soft Condensed Matter · Physics 2015-12-14 T. Hoshino , S. Komura , D. Andelman

The domain formation of curvature-inducing molecules, such as peripheral or transmembrane proteins and conical surfactants, is studied in thermal equilibrium and nonequilibrium steady states using meshless membrane simulations. These…

Soft Condensed Matter · Physics 2023-01-30 Hiroshi Noguchi

The presence of membrane tubules in living cells is essential to many biological processes. In cells, one mechanism to form nanosized lipid tubules is via molecular motor induced bilayer extraction. In this paper, we describe a simple…

Biomolecules · Quantitative Biology 2016-10-04 Chai Lor , Joseph D. Lopes , Michelle K. Mattson-Hoss , Jing Xu , Linda S. Hirst

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

Fluid Dynamics · Physics 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

We propose a model describing the phase behavior of two-component membranes consisting of binary mixtures of electrically charged and neutral lipids. We take into account the structural phase transition (main-transition) of the hydrocarbon…

Soft Condensed Matter · Physics 2016-07-11 Naofumi Shimokawa , Hiroki Himeno , Tsutomu Hamada , Masahiro Takagi , Shigeyuki Komura , David Andelman

The influence of geometrical parameters and fluid properties on the critical pressure of permeation of an oil micro-droplet into a slotted pore is studied numerically by solving the Navier-Stokes equations. We consider a long slotted pore,…

Soft Condensed Matter · Physics 2018-07-02 Tohid Darvishzadeh , Bishal Bhattarai , Nikolai V. Priezjev

This review reports some theoretical results on the Geometry of membranes. The governing equations to describe equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are derived from the…

Soft Condensed Matter · Physics 2011-12-30 Z. C. TU

Using analytical calculations and computer simulations we consider both the lateral diffusion of a membrane protein and the fluctuation spectrum of the membrane in which the protein is embedded. The membrane protein interacts with the…

Soft Condensed Matter · Physics 2015-05-18 Ellen Reister-Gottfried , Stefan M. Leitenberger , Udo Seifert