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Liposome vesicles tend to align with an applied magnetic field. This is due to the directional magnetic susceptibility difference of the lipids which form the membrane of these vesicles. In this work a model of liposome vesicles exposed to…

Soft Condensed Matter · Physics 2016-08-22 David Salac

Suspensions of colloidal microplates in contoured 2D elastic fluids sheets are dominated by the bending mechanics and shear rigidity of the plates and the contrasting in-plane shear flow of the 2D fluid. Using the phase separated…

Applied Physics · Physics 2024-02-26 Weiyue Xin , Maria M. Santore

Adhesion is a fundamental phenomenon that plays a role in many engineering and biological applications. This paper concerns the use of machine learning to characterize the effective adhesive properties when a thin film is peeled from a…

Applied Physics · Physics 2023-09-04 Maximo Cravero Baraja , Kaushik Bhattacharya

This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact solutions to the shape equation of lipid vesicles; (ii) exact…

Soft Condensed Matter · Physics 2017-07-27 Z. C. Tu

We grafted polyacrylic acid brushes containing cysteine side chains at a defined surface density on planar lipid membranes. Specular X-ray reflectivity data indicated that the addition of Cd2+ ions induces the compaction of the polymer…

Soft Condensed Matter · Physics 2022-03-29 Felix Weissenfeld , Lucia Wesenberg , Masaki Nakahata , Marcus Müller , Motomu Tanaka

We investigate the morphology of a toroidal fluid membrane vesicle confined inside a spherical container. The equilibrium shapes are assembled in a geometrical phase diagram as a function of scaled area and reduced volume of the membrane.…

Biological Physics · Physics 2015-10-21 Lila Bouzar , Ferhat Menas , Martin Michael Müller

In this work we study the coupled system of partial and ordinary differential equations describing the interaction between a compressible isentropic viscous fluid and a rigid body moving freely inside the fluid. In particular the position…

Analysis of PDEs · Mathematics 2019-05-27 Ondrej Kreml , Sarka Necasova , Tomasz Piasecki

We investigate the mechanics of two asymmetric ribbons bound at one end and pulled apart at the other ends. We characterize the elastic junction near the bonding and conceptualize it as a bending boundary layer. While the size of this…

Soft Condensed Matter · Physics 2025-02-12 Nathan Vani , Alejandro Ibarra , José Bico , Étienne Reyssat , Benoît Roman

The dynamics of a spheroidal vesicle, bounded by an inextensible membrane, is analyzed in function of the enclosed fluid viscosity, and of the membrane mechanical properties. The two situations in which a bending rigidity and a shear…

chao-dyn · Physics 2009-10-31 Piero Olla

A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a…

Statistical Mechanics · Physics 2017-12-27 Raz Halifa Levi , Yacov Kantor , Mehran Kardar

The equations governing the conditions of mechanical equilibrium in fluid membranes subject to bending are revisited thanks to the principle of virtual work. The note proposes systematic tools to obtain the shape equation and the line…

Soft Condensed Matter · Physics 2015-10-19 Henri Gouin

Using both numerical and variational minimization of the bending and adhesion energy of two-dimensional lipid vesicles, we study their aggregation, and we find that the stable aggregates include an infinite number of vesicles and that they…

Soft Condensed Matter · Physics 2009-11-13 P. Ziherl

A tethered vesicle, which consists of a cylindrical membrane tube and a spherical vesicle, is produced by a mechanical force that is experimentally imposed by optical tweezers and a micropipette. This tethered vesicle is employed for…

Soft Condensed Matter · Physics 2021-12-30 Hiroshi Noguchi

We consider numerical algorithms for the simulation of the rheology of two-dimensional vesicles suspended in a viscous Stokesian fluid. The vesicle evolution dynamics is governed by hydrodynamic and elastic forces. The elastic forces are…

Numerical Analysis · Mathematics 2015-06-17 Bryan Quaife , George Biros

We develop a new model, to our knowledge, for the many-body hydrodynamics of amphiphilic Janus particles suspended in a viscous background flow. The Janus particles interact through a hydrophobic attraction potential that leads to…

Soft Condensed Matter · Physics 2021-10-05 Szu-Pei Fu , Bryan Quaife , Rolf Ryham , Yuan-Nan Young

In this article, we derive a mathematical model for a shell (i.e. a thin elastic body) bonded to an elastic foundation by modifying Koiter's linear shell equations. We prove the existence and the uniqueness of solutions, and we explicitly…

Analysis of PDEs · Mathematics 2023-09-06 Kavinda Jayawardana

An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin-Voigt rheology at small strains is scrutinized. The flow-rule for debonding the adhesive is considered rate-independent and unidirectional, and…

Numerical Analysis · Mathematics 2013-03-08 Tomas Roubicek , Christos G. Panagiotopoulos , Vladislav Mantic

Lipid bilayer membranes are commonly modeled as area-preserving fluid surfaces that resist bending. There appear to be two schools of thought in the literature concerning the actual area constraint. In some works the total or global area…

Biological Physics · Physics 2015-06-23 Sanjay Dharmavaram , Timothy J. Healey

I study how the contact area and the work of adhesion, between two elastic solids with randomly rough surfaces, depend on the relative humidity. The surfaces are assumed to be hydrophilic, and capillary bridges form at the interface between…

Soft Condensed Matter · Physics 2009-11-13 B. N. J. Persson

We discuss a class of models for particulate gels in which the particle contacts are described by an effective interaction combining a two-body attraction and a three-body angular repulsion. Using molecular dynamics, we show how varying the…

Soft Condensed Matter · Physics 2021-08-05 Minaspi Bantawa , Wayan A. Fontaine-Seiler , Peter D. Olmsted , Emanuela Del Gado