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A continuum electromechanical model is proposed to describe the membrane curvature induced by electrostatic interactions in a solvated protein-membrane system. The model couples the macroscopic strain energy of membrane and the…

Quantitative Methods · Quantitative Biology 2015-05-19 Y. C. Zhou , Benzhuo Lu , Alemayehu A. Gorfe

The interplay of membrane proteins is vital for many biological processes, such as cellular transport, cell division, and signal transduction between nerve cells. Theoretical considerations have led to the idea that the membrane itself…

Soft Condensed Matter · Physics 2016-11-28 Casper van der Wel , Afshin Vahid , Anđela Šarić , Timon Idema , Doris Heinrich , Daniela J. Kraft

In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In order to properly present the new method, we focus on the…

Numerical Analysis · Mathematics 2023-10-31 Mirco Ciallella , Thomas Milcent

Consider a surface, enclosing a fixed volume, described by a free-energy depending only on the local geometry; for example, the Canham-Helfrich energy quadratic in the mean curvature describes a fluid membrane. The stress at any point on…

Statistical Mechanics · Physics 2009-11-11 Jemal Guven

We consider membranes adhered through specific receptor-ligand bonds. Thermal undulations of the membrane induce effective interactions between adhesion sites. We derive an upper bound to the free energy that is independent of interaction…

Soft Condensed Matter · Physics 2011-07-04 Thomas Speck

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

Soft Condensed Matter · Physics 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

Consider a homogenous fluid membrane, or vesicle, described by the Helfrich-Canham energy, quadratic in the mean curvature. When the membrane is axially symmetric, this energy can be viewed as an `action' describing the motion of a…

Soft Condensed Matter · Physics 2009-11-11 Riccardo Capovilla , Jemal Guven , Efrain Rojas

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

Materials Science · Physics 2013-04-02 T. Frolov , Y. Mishin

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

We model membrane proteins as anisotropic objects characterized by symmetric-traceless tensors and determine the coupling between these order-parameters and membrane curvature. We consider the interactions between transmembrane proteins…

Condensed Matter · Physics 2009-10-28 Jeong-Man Park , T. C. Lubensky

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

Soft Condensed Matter · Physics 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

We study a physical model for the interaction between general inclusions bound to fluid membranes that possess finite tension, as well as the usual bending rigidity. We are motivated by an interest in proteins bound to cell membranes that…

Soft Condensed Matter · Physics 2009-11-10 A. R. Evans , M. S. Turner , P. Sens

The torsion loading of a coupled cylinder, comprising distinct upper and lower cylindrical sections potentially made of different materials, is considered. The bottom of the cylinder is fixed in place, and induces the cylinder vibration.…

Classical Physics · Physics 2025-08-19 Igor Istenes , Daniel Peck , Yuriy Protserov , Natalya Vaysfeld , Zinaida Zhuravlova

It is shown that the current-induced torques between a ferromagnetic layer and an antiferromagnetic layer with a compensated interface vanish when the ferromagnet is aligned with an axis of spin-rotation symmetry of the antiferromagnet. For…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Karthik Prakya , Adrian Popescu , Paul M. Haney

The vertex model is a popular framework for modelling tightly packed biological cells, such as confluent epithelia. Cells are described by convex polygons tiling the plane and their equilibrium is found by minimizing a global mechanical…

Biological Physics · Physics 2021-03-17 Oliver E. Jensen , Emma Johns , Sarah Woolner

The transport of particles across lipid-bilayer membranes is important for biological cells to exchange information and material with their environment. Large particles often get wrapped by membranes, a process which has been intensively…

Soft Condensed Matter · Physics 2024-06-04 Jiarul Midya , Thorsten Auth , Gerhard Gompper

Biological and biomimetic membranes often contain aggregates of embedded or adsorbed macromolecules. In this article, the indirect interactions of cylindrical objects adhering to a planar membrane are considered theoretically. The adhesion…

Soft Condensed Matter · Physics 2009-11-10 Thomas R. Weikl

If a thermal gradient is applied along a fluid-solid interface, the fluid experiences a thermo-osmotic force. In steady state this force is balanced by the gradient of the shear stress. Surprisingly, there appears to be no unique…

Soft Condensed Matter · Physics 2018-08-15 Raman Ganti , Yawei Liu , Daan Frenkel

Spin-orbit torques offer a promising mechanism for electrically controlling magnetization dynamics in nanoscale heterostructures. While spin-orbit torques occur predominately at interfaces, the physical mechanisms underlying these torques…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Vivek P. Amin , Paul M. Haney , Mark D. Stiles