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Active colloids self-organise to a variety of collective states, ranging from highly motile 'molecules' to complex 3D structures. Using large-scale simulations, we show that hydrodynamic interactions, together with a gravity-like aligning…

Soft Condensed Matter · Physics 2020-03-31 Zaiyi Shen , Alois Würger , Juho S. Lintuvuori

The Canham--Helfrich free-energy density for a lipid bilayer has drawn considerable attention. Aside from the mean and Gaussian curvatures, this free-energy density involves a spontaneous mean-curvature that encompasses information…

Biological Physics · Physics 2013-01-22 Brian Seguin , Eliot Fried

Bilayer plates are compound materials that exhibit large bending deformations when exposed to environmental changes that lead to different mechanical responses in the involved materials. In this article a new numerical method which is…

Numerical Analysis · Mathematics 2020-04-02 Sören Bartels , Christian Palus

The Self-Consistent Field theory of brushes of neutral water-soluble polymers described by two-state models is formulated in terms of the effective Flory interaction parameter $\chi_{eff}(T,\phi)$ that depends on both temperature, T and the…

Soft Condensed Matter · Physics 2016-08-31 Vladimir A. Baulin , Ekaterina B. Zhulina , Avi Halperin

We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells.…

Soft Condensed Matter · Physics 2011-02-25 Andela Šarić , Angelo Cacciuto

Morphological transformations of amphiphilic AB diblock copolymers in mixtures of a common solvent (S1) and a selective solvent (S2) for the B block are studied using the simulated annealing method. We focus on the morphological…

Soft Condensed Matter · Physics 2017-03-28 Zheng Wang , Yuhua Yin , Run Jiang , Baohui Li

We consider a lattice model for amphiphiles in a solvent with molecules chemically similar to one part of the amphiphilic molecule. The dependence of the interaction potential on orientation of the amphiphilic molecules is taken into…

Soft Condensed Matter · Physics 2014-11-14 Jakub Pękalski , Paweł Rogowski , Alina Ciach

Membrane proteins and lipids can self-assemble into membrane protein polyhedral nanoparticles (MPPNs). MPPNs have a closed spherical surface and a polyhedral protein arrangement, and may offer a new route for structure determination of…

Biological Physics · Physics 2017-04-28 Di Li , Osman Kahraman , Christoph A. Haselwandter

The stability of copolymer tethers is investigated theoretically. Self-assembly of diblockor triblock copolymers can lead to tubular polymersomes which are known experimentallyto undergo shape instability under thermal, chemical and tension…

Soft Condensed Matter · Physics 2022-01-12 J. Lyu , K. Xie , R. Chachanidze , A. Kahli , G. Boedec , M. Leonetti

We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern by the compact local configuration space rather than real…

Computational Physics · Physics 2019-09-04 Paul Cazeaux , Mitchell Luskin , Daniel Massatt

We study the conditions on the physical parameters in the Helfrich bending energy of lipid bilayer vesicles. Among embedded surfaces with a biconcave axisymmetric shape, the variation equation is analyzed in detail. This leads to simple…

Analysis of PDEs · Mathematics 2007-05-23 Thomas Kwok-keung Au , Tom Yau-heng Wan

Phoretic colloids self-propel thanks to surface flows generated in response to surface gradients (thermal, electrical, or chemical), that are self-induced and/or generated by other particles. Here we present a scalable and versatile…

Soft Condensed Matter · Physics 2024-07-29 Blaise Delmotte , Florencio Balboa Usabiaga

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

The paper presents a complete research cycle comprising continuum-based modeling, computational framework development, and validation setup to predict phase separation and surface hydrodynamics in lipid bilayer membranes. We starting with…

Numerical Analysis · Mathematics 2025-10-14 Maxim Olshanskii , Annalisa Quaini

Using field theoretic approach, we study equilibrium shape deformation of a vesicle induced by the presence of enclosed flexible polymers, which is a simple model of drug delivery system or endocytosis. To evaluate the total free energy of…

Soft Condensed Matter · Physics 2015-05-20 Yutaka Oya , Katsuhiko Sato , Toshihiro Kawakatsu

Colloidal particles can self-assemble into various ordered structures in fluid flows that have potential applications in biomedicine, materials synthesis and encryption. These dynamic processes are also of fundamental interest for probing…

Soft Condensed Matter · Physics 2017-01-31 Yu Abe , Bo Zhang , Leonardo Gordillo , Alireza Mohammad Karim , Lorraine F. Francis , Xiang Cheng

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 study the cylinder to sphere morphological transition of diblock copolymers in aqueous solution with a hydrophobic block and a charged block. We find a metastable undulated cylinder configuration for a range of charge and salt…

Soft Condensed Matter · Physics 2009-11-11 Gregory M. Grason , Christian D. Santangelo

An integrated mechanical model for fiber-laden membranes is presented and representative predictions of relevance to cellulose ordering and orientation in the plant cell wall are presented. The model describes nematic liquid crystalline…

Biological Physics · Physics 2009-06-24 Y. K. Murugesan , A. D. Rey

Using the framework of potential energy landscape theory, we describe two in silico designs for self-assembling helical colloidal superstructures based upon dipolar dumbbells and Janus-type building blocks, respectively. Helical…

Soft Condensed Matter · Physics 2014-07-09 Szilard N. Fejer , Dwaipayan Chakrabarti , Halim Kusumaatmaja , David J. Wales