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We derive the expression of the stress tensor for one and two-component lipid membranes with density and composition inhomogeneities. We first express the membrane stress tensor as a function of the free-energy density by means of the…

Soft Condensed Matter · Physics 2015-03-17 Anne-Florence Bitbol , Luca Peliti , Jean-Baptiste Fournier

Common models for two-phase lipid bilayer membranes are based on an energy that consists of an elastic term for each lipid phase and a line energy at interfaces. Although such an energy controls only the length of interfaces, the membrane…

Analysis of PDEs · Mathematics 2016-03-10 Michael Helmers

We consider the impact of surface hydrodynamics on the interplay between curvature and composition in coarsening processes on model systems for biomembranes. This includes scaling laws and equilibrium configurations, which are investigated…

Soft Condensed Matter · Physics 2023-04-19 Elena Bachini , Veit Krause , Axel Voigt

A model for ripple formation on liquid surfaces exposed to an external laser or particle beam and a variable ground is developed. The external incident beam is hereby mechanically coupled to the liquid surface due to surface roughness.…

Fluid Dynamics · Physics 2022-10-27 K. Morawetz , S. Trinschek , E. L. Gurevich

The shape of a cell influences and it is influenced by interactions with its neighbouring partners. Here, we introduce a coarse-grained model of non-reciprocal interactions between single-cell organisms to study emergent morphologies during…

Soft Condensed Matter · Physics 2025-06-17 Maitane Muñoz-Basagoiti , Michael Wassermair , Miguel Amaral , Buzz Baum , Anđela Šarić

We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperbolic metrics into the plane, and ii) a pure energetic…

Soft Condensed Matter · Physics 2015-11-25 Sergei Nechaev , Kirill Polovnikov

Surface stress and surface energy are two fundamental parameters that determine the surface properties of any materials. While it is commonly believed that the surface stress and surface energy of liquids are identical, the relationship…

Soft Condensed Matter · Physics 2022-06-22 Weiwei Zhao , Jianhui Zhou , Haitao Hu , Chang Xu , Qin Xu

We show that the formation of membrane tubes (or membrane tethers), which is a crucial step in many biological processes, is highly non-trivial and involves first order shape transitions. The force exerted by an emerging tube is a…

Soft Condensed Matter · Physics 2009-11-07 Imre Derenyi , Frank Julicher , Jacques Prost

Membrane tension is an acknowledged regulator of a wide array of cell functions; however, whether it acts locally or globally in different contexts remains debated. Recent experiments that locally perturb tension and measure the response…

Soft Condensed Matter · Physics 2025-02-11 Emeline Laborie , Andrew Callan-Jones

The contact line dynamics of a thermal field assisted flow configuration of two immiscible fluids is considered in a narrow thermofluidic pathway. The surfaces of the channel are wetted with predesigned wettabilities and interdigitated…

Fluid Dynamics · Physics 2018-04-23 Golak Kunti , Anandaroop Bhattacharya , Suman Chakraborty

The three-dimensional shapes of thin lamina such as leaves, flowers, feathers, wings etc, are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric, given on the…

Analysis of PDEs · Mathematics 2014-01-09 Marta Lewicka , L. Mahadevan , Mohammad Reza Pakzad

It is well known that lipid membranes respond to a threshold transmembrane electric field through a reversible mechanism called electroporation, where hydrophilic water pores form across the membrane, an effect widely used in biological…

Soft Condensed Matter · Physics 2023-04-17 Di Jin , Yu Zhang , Jacob Klein

A hydrophilic liquid, such as water, forms hydrogen bonds with a hydrophilic substrate. The strength and locality of the hydrogen bonding interactions prohibit slip of the liquid over the substrate. The question then arises how the contact…

Fluid Dynamics · Physics 2018-07-11 Petter Johansson , Berk Hess

The adhesive contact between elastic solids with randomly rough, self affine fractal surfaces is studied by molecular dynamics (MD) simulations. The interfacial binding energy obtained from the simulations of nominally flat and curved…

Soft Condensed Matter · Physics 2011-12-23 N. Mulakaluri , B. N. J. Persson

Dense particle-fluid mixtures, or \emph{pastes}, are encountered in the production of various materials, including animal feed, human food, pharmaceuticals, and biomass for bioenergy. The flow behavior of such dense deformable particulate…

We investigate how surface waves enhance mixing across the interface between two miscible fluids with a small density contrast. Imposing a vertical, time-periodic acceleration, we excite Faraday waves both experimentally and numerically. In…

Gaining access to the cell interior is fundamental for many applications, such as electrical recording, drug and biomolecular delivery. A very promising technique consists of culturing cells on nano/micro pillars. The tight adhesion and…

Biomimetic membranes in contact with a planar substrate or a second membrane are studied theoretically. The membranes contain specific adhesion molecules (stickers) which are attracted by the second surface. In the absence of stickers, the…

Soft Condensed Matter · Physics 2016-08-31 Thomas R. Weikl , David Andelman , Shigeyuki Komura , Reinhard Lipowsky

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy

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
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