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The recent discovery of a lateral organization in cell membranes due to small structures called 'rafts' has motivated a lot of biological and physico-chemical studies. A new experiment on a model system has shown a spectacular budding…

Subcellular Processes · Quantitative Biology 2009-11-10 Jean-Marc Allain , Martine Ben Amar

We describe the statistical behavior of anisotropic crystalline membranes. In particular we give the phase diagram and critical exponents for phantom membranes and discuss the generalization to self-avoiding membranes.

High Energy Physics - Lattice · Physics 2007-05-23 M. Bowick , S. Catterall , S. Warner , G. Thorleifsson , M. Falcioni

Consider a lipid membrane with a free exposed edge. The energy describing this membrane is quadratic in the extrinsic curvature of its geometry; that describing the edge is proportional to its length. In this note we determine the boundary…

Soft Condensed Matter · Physics 2009-11-07 R. Capovilla , J. Guven , J. A. Santiago

We use theory and numerical computation to determine the shape of an axisymmetric fluid membrane with a resistance to bending and constant area. The membrane connects two rings in the classic geometry that produces a catenoidal shape in a…

Soft Condensed Matter · Physics 2021-08-12 Leroy L. Jia , Steven Pei , Robert A. Pelcovits , Thomas R. Powers

The adhesion of biomembranes is mediated by the binding of membrane-anchored receptor and ligand proteins. The proteins can only bind if the separation between apposing membranes is sufficiently close to the length of the protein complexes,…

Subcellular Processes · Quantitative Biology 2019-11-22 Thomas R. Weikl , Jinglei Hu , Batuhan Kav , Bartosz Rozycki

Many closed-cell foams exhibit an elongated cell shape in the foam rise direction, resulting in anisotropic compressive properties. Nevertheless, the underlying deformation mechanisms and how cell shape anisotropy induces this mechanical…

Numerical Analysis · Mathematics 2026-01-01 L. Liu , F. Liu , D. Zenkert , M. Åkermo , M. Fagerström

A coarse-grained computational model is used to investigate the effect of a fluctuating fluid membrane on the dynamics of patchy-particle assembly into virus capsid-like cores. Results from simulations for a broad range of parameters are…

Soft Condensed Matter · Physics 2014-11-18 Richard Matthews , Christos N. Likos

Nonequilibrium membrane pattern formation is studied using meshless membrane simulation. We consider that molecules bind to either surface of a bilayer membrane and move to the opposite leaflet by flip--flop. When binding does not modify…

Soft Condensed Matter · Physics 2025-01-14 Hiroshi Noguchi

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

Recent experiments by Kantsler et. al. (2007) have shown that the relaxational dynamics of a vesicle in external elongation flow is accompanied by the formation of wrinkles on a membrane. Motivated by these experiments we present a theory…

Soft Condensed Matter · Physics 2013-05-29 K. S. Turitsyn , S. S. Vergeles

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

An elastic membrane with embedded nematic molecules is considered as a model of anisotropic fluid membrane with internal ordering. By considering the geometric coupling between director field and membrane curvature, the nematic texture is…

Soft Condensed Matter · Physics 2019-07-24 J. A. Santiago , G. Chacón-Acosta , F. Monroy

We study theoretically the shapes of biological tubes affected by various pathologies. When epithelial cells grow at an uncontrolled rate, the negative tension produced by their division provokes a buckling instability. Several shapes are…

Biological Physics · Physics 2012-07-09 Edouard Hannezo , Jean-Francois Joanny , Jacques Prost

Motivated to understand the behavior of biological filaments interacting with membranes of various types, we study a theoretical model for the shape and thermodynamics of intrinsically-helical filaments bound to curved membranes. We show…

Soft Condensed Matter · Physics 2016-11-03 D. A. Quint , A. Gopinathan , G. M. Grason

I show the assumed Bilayer structure of cell membranes is Topologically falsified by known aminophospholipid dynamics in metabolically-active, Far from Equilibrium cells. The sensitivity of lipid and cytoplasmic flows to temperature,…

Biological Physics · Physics 2011-11-09 J. T. Lofthouse

We theoretically investigate the thermally-driven curvature and lipid density fluctuations of a quasi-spherical vesicle, accounting for the dissipation due to monolayer viscosity and intermonolayer friction. The theory predicts that…

Soft Condensed Matter · Physics 2026-05-06 Petia M. Vlahovska , Rony Granek

We present a general dynamical theory of a membrane coupled to an actin cortex containing polymerizing filaments with active stresses and currents, and demonstrate that active membrane dynamics [Phys. Rev. Lett \textbf{84}, 3494 (2000)] and…

Biological Physics · Physics 2015-06-18 Ananyo Maitra , Pragya Srivastava , Madan Rao , Sriram Ramaswamy

We use coarse grained molecular dynamics simulations to investigate diffusion properties of sheared lipid membranes with embedded transmembrane proteins. In membranes without proteins, we find normal in-plane diffusion of lipids in all flow…

Biological Physics · Physics 2013-09-10 Atefeh Khoshnood , Mir Abbas Jalali

Understanding and manipulating the interactions between foreign bodies and cell membranes during endo- and phagocytosis is of paramount importance, not only for the fate of living cells but also for numerous biomedical applications. This…

Soft Condensed Matter · Physics 2023-12-06 Stijn van der Ham , Jaime Agudo-Canalejo , Hanumantha Rao Vutukuri

The large curvature effects on micromagnetic energy of a thin ferromagnetic film with nonlocal dipolar energy are considered. We predict that the dipolar interaction and surface curvature can produce perpendicular anisotropy which can be…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Oleg A. Tretiakov , Massimiliano Morini , Sergiy Vasylkevych , Valeriy Slastikov