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In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell is perfectly elastic while the fluid is governed by the…

Analysis of PDEs · Mathematics 2026-05-15 Dominic Breit , Prince Romeo Mensah , Sebastian Schwarzacher , Pei Su

Cells offer numerous inspiring examples where proteins and membranes combine to form complex structures that are key to intracellular compartmentalization, cargo transport, and specialization of cell morphology. Despite this wealth of…

We investigate thermal fluctuations in a smectic A phase of an amphiphile-solvent mixture with molecular dynamics simulations. We use an idealized model system, where solvent particles are represented by simple beads, and amphiphiles by…

Soft Condensed Matter · Physics 2009-11-10 Claire Loison , Michel Mareschal , Kurt Kremer , Friederike Schmid

Membrane organization is essential for cellular functions such as signal transduction and membrane trafficking. A major challenge is to understand the lateral heterogeneous structures in membranes and membrane fluidity in the presence of…

Soft Condensed Matter · Physics 2007-11-09 Chun-Lai Ren , Yu-qiang Ma

An elastic bilayer, consisting of an equibiaxially pre-stretched sheet bonded to a stress-free one, spontaneously morphs into curved shapes in the absence of external loads or constraints. Using experiments and numerical simulations, we…

Soft Condensed Matter · Physics 2018-11-28 Noè Caruso , Aleksandar Cvetković , Alessandro Lucantonio , Giovanni Noselli , Antonio DeSimone

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

In this paper, we first develop a mathematical model for long-range, hydrophobic attraction between amphiphilic particles. The non-pairwise interactions follow from the first variation of a hydrophobic attraction domain functional. The…

Numerical Analysis · Mathematics 2019-07-19 Szu-Pei P. Fu , Rolf J. Ryham , Andreas Klöckner , Matt Wala , Shidong Jiang , Yuan-Nan Young

Highly oriented solid-supported lipid membranes in stacks of controlled number $N \simeq 16$ (oligo-membranes) have been prepared by spin-coating using the uncharged lipid model system 1,2-dimyristoyl-sn-glycero-3-phosphocholine (DMPC). The…

Soft Condensed Matter · Physics 2015-04-10 Ulrike Mennicke , Doru Constantin , Tim Salditt

We present and discuss in detail practical techniques in formulating effective models to describe the dynamics of low-energy electrons in generic bilayer graphene. Starting from a tight-binding model using the $p_z$ orbital of carbon atoms…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 H. Minh Lam , V. Nam Do

A simple kinetic model of a two-component deformable and reactive bilayer is presented. The two differently shaped components are interconverted by a nonequilibrium reaction, and a phenomenological coupling between local composition and…

Soft Condensed Matter · Physics 2009-11-11 Ramon Reigada , Javier Buceta , Katja Lindenberg

Complex fluids exhibit structure on a wide range of length and time scales, and hierarchical approaches are necessary to investigate all facets of their often unusual properties. The study of idealized coarse-grained models at different…

Soft Condensed Matter · Physics 2008-10-23 Friederike Schmid

A theoretical model of a two-component fluid membrane containing lipids and two-state active inclusions is presented. Under strong inclusion activities the membrane can be unstable due to pump-driven undulation or aggregation of high…

Soft Condensed Matter · Physics 2009-11-10 Hsuan-Yi Chen

The Canham--Helfrich free-energy density for a lipid bilayer involves the mean and Gaussian curvatures of the midsurface of the bilayer. The splay and saddle-splay moduli $\kappa$ and $\bar\kappa$ regulate the sensitivity of the free-energy…

Biological Physics · Physics 2014-06-24 Brian Seguin , Eliot Fried

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

We develop theory and computational methods to investigate particle inclusions embedded within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles where inclusion particles are coupled through (i) intramembrane…

Soft Condensed Matter · Physics 2023-02-28 Jon Karl Sigurdsson , Paul J. Atzberger

We study phase behaviours of lipid--bilayer vesicles functionalised by ligand--receptor complexes made of synthetic DNA by introducing a modelling framework and a dedicated experimental platform. In particular, we perform Monte Carlo…

Soft Condensed Matter · Physics 2016-08-23 S. J. Bachmann , J. Kotar , L. Parolini , A. Šarić , P. Cicuta , L. Di Michele , B. M. Mognetti

Bending rigidity, k, is classically measured for lipid membranes to characterize their nanoscale mechanical properties as a function of composition. Widely employed as a comparative tool, it helps understanding the relationship between the…

Soft Condensed Matter · Physics 2023-10-24 Niki Baccile , Ingo Hoffmann , Vincent Chaleix

Motivated by the experimental study of Tayebi et al. [Nature Mater. 11, 1074 (2012)] on phase separation of stacked multi-component lipid bilayers, we propose a model composed of stacked two-dimensional Ising spins. We study both its static…

Soft Condensed Matter · Physics 2015-12-14 T. Hoshino , S. Komura , D. Andelman

We simulate a phase-separating a bilayer in which the leaflets experience a direct coupling favouring local compositional symmetry ("registered" bilayer phases), and an indirect coupling due to hydrophobic mismatch that favours strong local…

Soft Condensed Matter · Physics 2016-04-12 John J. Williamson , Peter D. Olmsted

An arbitrary Lagrangian--Eulerian finite element method and numerical implementation for curved and deforming lipid membranes is presented here. The membrane surface is endowed with a mesh whose in-plane motion need not depend on the…

Computational Physics · Physics 2026-02-24 Amaresh Sahu