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In many biological systems, the curvature of the surfaces cells live on influence their collective properties. Curvature should likewise influence the behavior of active colloidal particles. We show using molecular simulation of…

Soft Condensed Matter · Physics 2022-02-25 Philipp W. A. Schönhöfer , Sharon C. Glotzer

The conformational free energy landscape of a system is a fundamental thermodynamic quantity of importance particularly in the study of soft matter and biological systems, in which the entropic contributions play a dominant role. While…

Biological Physics · Physics 2015-10-13 N. Ramakrishnan , Richard W. Tourdot , Ravi Radhakrishnan

We preset a computational study of bending models for the curvature elasticity of lipid bilayer membranes that are relevant for simulations of vesicles and red blood cells. We compute bending energy and forces on triangulated meshes and…

Computational Engineering, Finance, and Science · Computer Science 2020-01-08 Xin Bian , Sergey Litvinov , Petros Koumoutsakos

In order to study a one-dimensional analogue of the spontaneous curvature model for two-component lipid bilayer membranes we consider planar curves that are made of a material with two phases. Each phase induces a preferred curvature to the…

Analysis of PDEs · Mathematics 2016-03-03 Michael Helmers

Lipid membranes regulate the flow of materials and information between cells and their organelles. Further, lipid composition and morphology can play a key role in regulating a variety of biological processes. For example, viral uptake,…

Biomolecules · Quantitative Biology 2009-05-12 Tristan Ursell , Rob Phillips

Cells are defined by lipid membranes that differ in their structure across the tree of life. While the membranes of most bacteria and eukaryotes consist of single-headed bilayer lipids, the membranes of archaea are composed of mixtures of…

Soft Condensed Matter · Physics 2026-04-21 Felix Frey , Miguel Amaral , Anđela Šarić

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

The curvature of biological membranes at the nanometer scale is critically important for vesicle trafficking, organelle morphology, and disease propagation. This manuscript reports the development of Polarized Localization Microscopy (PLM),…

Biological Physics · Physics 2017-03-31 Abir Maarouf Kabbani , Christopher V. Kelly

The locomotion of flexible membrane-like organisms on top of curved surfaces appears in different contexts and scales. Still, such dynamics have not yet been quantitatively modeled and no realization of such motion in manmade systems has…

Soft Condensed Matter · Physics 2024-02-27 Omri Y. Cohen , Yael Klein , Eran Sharon

Cell membranes interact with a myriad of curvature-active proteins that control membrane morphology and are responsible for mechanosensation and mechanotransduction. Some of these proteins, such as those containing BAR domains, are curved…

Soft Condensed Matter · Physics 2020-09-21 Caterina Tozzi , Nikhil Walani , Anabel-Lise Le Roux , Pere Roca-Cusachs , Marino Arroyo

Biological membranes are able to exhibit various morphology due to the fluidity of the lipid molecules within the monolayers. The shape transformation of membranes has been well described by the classical Helfrich theory, which consists…

Soft Condensed Matter · Physics 2023-02-24 Mei-Ting Wang , Rui Ma , Chen-Xu Wu

Biomolecules, such as proteins and RNAs, can phase separate in the cytoplasm of cells to form biomolecular condensates. Such condensates are liquid-like droplets that can wet biological surfaces such as membranes. Many molecules that…

Soft Condensed Matter · Physics 2024-09-04 Xueping Zhao , Susanne Liese , Alf Honigmann , Frank Jülicher , Christoph A. Weber

By performing molecular dynamics simulations with up to 132 million coarse-grained particles in half-micron sized boxes, we show that hydrodynamics quantitatively explains the finite-size effects on diffusion of lipids, proteins, and carbon…

Soft Condensed Matter · Physics 2018-07-04 Martin Vögele , Jürgen Köfinger , Gerhard Hummer

Besides direct molecular interactions, proteins and nanoparticles embedded in or adsorbed to membranes experience indirect interactions that are mediated by the membranes. These membrane-mediated interactions arise from the membrane…

Soft Condensed Matter · Physics 2024-07-08 Francesco Bonazzi , Thomas R. Weikl

Coordinated movements of epithelia tissue are linked with active matter processes. We here consider the influence of curvature on the spatiotemporal arrangements and the shapes of the cells. The cells are represented by a multiphase field…

Soft Condensed Matter · Physics 2023-04-18 Lea Happel , Dennis Wenzel , Axel Voigt

We review the theoretical analyses and simulations of the interactions between curvature-inducing proteins and biomembranes. Laterally isotropic proteins induce spherical budding, whereas anisotropic proteins, such as Bin/Amphiphysin/Rvs…

Soft Condensed Matter · Physics 2023-03-10 Hiroshi Noguchi

We use coarse grained molecular dynamics simulations to investigate diffusion properties of sheared lipid membranes with embedded transmembrane proteins. In membranes without proteins, we find normal in-plane diffusion of lipids in all flow…

Biological Physics · Physics 2013-09-10 Atefeh Khoshnood , Mir Abbas Jalali

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov

Viscosity is a key property of cell membranes that controls mobility of embedded proteins and membrane remodeling. Measuring it is challenging because existing approaches involve complex experimental designs and/or models, and the…

Soft Condensed Matter · Physics 2023-07-19 Hammad A. Faizi , Rumiana Dimova , Petia M. Vlahovska
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