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We examine the interactions between actively rotating proteins moving in a membrane. Experimental evidence suggests that such rotor proteins, like the ATP synthases of the inner mitochondrial membrane, can arrange themselves into lattices.…

Soft Condensed Matter · Physics 2019-10-09 Naomi Oppenheimer , David B. Stein , Michael J. Shelley

We study the shapes of elastic membranes under the simultaneous exertion of tensile and compressive forces when the translational symmetry along the tension direction is broken. We predict a multitude of novel morphological phases in…

Soft Condensed Matter · Physics 2015-05-13 Benny Davidovitch

We introduce and study the behavior of a tethered membrane of non-zero thickness embedded in three dimensions subject to an effective self-attraction induced by hydrophobicity arising from the tendency to minimize the area exposed to a…

Soft Condensed Matter · Physics 2012-06-12 Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

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

A common mechanism for intracellular transport is the use of controlled deformations of the membrane to create spherical or tubular buds. While the basic physical properties of homogeneous membranes are relatively well-known, the effects of…

Biological Physics · Physics 2009-11-10 Jean-Marc Allain , Cornelis Storm , Aurelien Roux , Martine Ben Amar , Jean-Francois Joanny

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection…

Statistical Mechanics · Physics 2011-01-18 D. Kharchenko , V. Kharchenko , I. Lysenko

We propose a model that accounts for budding behavior of domains in lipid bilayers, where each of the bilayer leaflets has a coupling between its local curvature and local lipid composition. The compositional asymmetry between the two…

Soft Condensed Matter · Physics 2015-03-31 Jean Wolff , Shigeyuki Komura , David Andelman

The behavior of lipid bilayer is important to understand the functionality of cells like the trafficking of ions between cells. Standard procedures to explore the properties of lipid bilayer and hemifused states typically use either…

Soft Condensed Matter · Physics 2014-10-14 Jose Nabor Vargas , Ralf Seemann , Jean-Baptiste Fleury

We consider the hydrodynamics of lipid bilayers containing transmembrane proteins of arbitrary shape. This biologically-motivated problem is relevant to the cell membrane, whose fluctuating dynamics play a key role in phenomena ranging from…

Soft Condensed Matter · Physics 2016-10-10 Andrew Callan-Jones , Marc Durand , Jean-Baptiste Fournier

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

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

A phenomenological model for the unbinding transition of multi-component fluid membranes is proposed, where the unbinding transition is described using a theory analogous to Flory-Huggins theory for polymers. The coupling between the…

Soft Condensed Matter · Physics 2009-11-07 Shigeyugi Komura , David Andelman

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

In a cellular medium, the plasmic membrane is a place of interactions between the cell and its direct external environment. A classic model describes it as a fluid mosaic. The fluid phase of the membrane allows a lateral degree of freedom…

Probability · Mathematics 2013-09-24 Aimé Lachal

A periodic surface is one that is invariant by a 2D lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes. Deformation modes that bend the lattice without stretching…

Differential Geometry · Mathematics 2024-08-29 Hussein Nassar

The shapes of cell membranes are largely regulated by membrane associated, curvature active, proteins. We use a numerical model of the membrane with elongated membrane inclusions, recently developed by us, which posses spontaneous…

Biological Physics · Physics 2013-02-08 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

We propose a model that accounts for the budding transition of asymmetric two-component lipid domains, where the two monolayers (leaflets) have different average compositions controlled by independent chemical potentials. Assuming a…

Soft Condensed Matter · Physics 2016-09-16 Jean Wolff , Shigeyuki Komura , David Andelman

Fluctuations in thermal many-particle systems reflect fundamental dynamical processes in both equilibrium and nonequilibrium (NEQ) physics. In NEQ systems \cite{ritort} fluctuations are important in a variety of contexts ranging from…

Statistical Mechanics · Physics 2012-01-17 Marco G. Mazza , Martin Schoen

Bilayer lipid membranes (BLMs) are an essential component of many biological systems, forming a functional barrier between the cell and the surrounding environment. When the membrane relaxes from a structural perturbation, the dynamics of…

Soft Condensed Matter · Physics 2015-07-27 R. J. Bingham , S. W. Smye , P. D. Olmsted

We study theoretically and numerically the coupling and rotational hydrodynamic interactions between spherical particles near a planar elastic membrane that exhibits resistance towards shear and bending. Using a combination of the multipole…

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