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The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a coupling between the local composition and the local…

Analysis of PDEs · Mathematics 2016-06-29 Irene Fonseca , Gurgen Hayrapetyan , Giovanni Leoni , Barbara Zwicknagl

We study the effect of membrane proteins on the shape, composition and thermodynamic stability of the surrounding membrane. When the coupling between membrane composition and curvature is strong enough the nearby composition and shape both…

Soft Condensed Matter · Physics 2015-03-11 S. Alex Rautu , George Rowlands , Matthew S. Turner

Evidence accumulated over the past decade provides support for liquid-liquid phase separation as the mechanism underlying the formation of biomolecular condensates, which include not only membraneless organelles such as nucleoli and RNA…

Biomolecules · Quantitative Biology 2019-09-12 Ivan Peran , Tanja Mittag

We present a continuum model of the coupling between cells and substrate that accounts for some of the observed substrate-stiffness dependence of cell properties. The cell is modeled as an elastic active gel, adapting recently developed…

Cell Behavior · Quantitative Biology 2015-05-28 Shiladitya Banerjee , M. Cristina Marchetti

A combination of cellular contractility and active phase separation in cell-matrix composites is thought to be an enabler of spatiotemporal patterning in multicellular tissues across scales, from somitogenesis to cartilage condensation. To…

Soft Condensed Matter · Physics 2022-11-21 Sifan Yin , L Mahadevan

It is found experimentally that the coexistence region of a vapor-liquid system or a binary mixture is substantially narrowed when the fluid is confined in a aerogel with a high degree of porosity (e.g. of the order of 95% to 99%). A…

Statistical Mechanics · Physics 2007-05-23 Rafael Salazar , Raul Toral , Amitabha Chakrabarti

We investigate the dynamics of membranes that are held by freely-rotating tethers in fluid flows. The tethered boundary condition allows periodic and chaotic oscillatory motions for certain parameter values. We characterize the oscillations…

Fluid Dynamics · Physics 2021-06-16 Christiana Mavroyiakoumou , Silas Alben

We find three distinct phases; a tubular phase, a planar phase, and the spherical phase, in a triangulated fluid surface model. It is also found that these phases are separated by discontinuous transitions. The fluid surface model is…

Statistical Mechanics · Physics 2009-11-13 Hiroshi Koibuchi

A driven system of three species of particle diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational…

Statistical Mechanics · Physics 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. It is known that a decrease of swimming speed with density can promote separation…

Populations and Evolution · Quantitative Biology 2010-07-13 M. E. Cates , D. Marenduzzo , I. Pagonabarraga , J. Tailleur

We report a numerical simulation of the phase diagram of a simple model for membrane proteins constrained to move in a plane. In analogy with the corresponding three dimensional models, the liquid-gas transition becomes metastable as the…

Soft Condensed Matter · Physics 2009-10-31 Massimo G. Noro , Daan Frenkel

We show that lateral fluidity in membranes containing quenched protein obstacles belongs to the universality class of the two-dimensional random-field Ising model. The main feature of this class is the absence of a phase transition: there…

Soft Condensed Matter · Physics 2012-05-09 T. Fischer , R. L. C. Vink

We numerically examine the two-dimensional ordering of a stripe forming system of particles with competing long-range repulsion and short-range attraction in the presence of a quasi-one-dimensional corrugated substrate. As a function of…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

Globular proteins as well as recently synthesized colloids engineered with differently charged surface regions have in common a reduced bonding valence and a complex interaction pattern dominated by like-charge attraction and…

Soft Condensed Matter · Physics 2024-02-02 Daniele Notarmuzi , Emanuela Bianchi

Membrane shape fluctuations induce attractive interactions between rigid inclusions. Previous analytical studies showed that the fluctuation-induced pair interactions are rather small compared to thermal energies, but also that multi-body…

Soft Condensed Matter · Physics 2009-11-07 Thomas R Weikl

Supported Lipid Bilayers (SLBs) are model membranes formed at solid substrate surfaces. This architecture renders the membrane experimentally accessible to surface sensitive techniques used to study their properties, including Atomic Force…

Biological Physics · Physics 2019-11-19 James A. Goodchild , Danielle L. Walsh , Simon D. Connell

Spatial organisation is a hallmark of all living cells, and recreating it in model systems is a necessary step in the creation of synthetic cells. It is therefore of both fundamental and practical interest to better understand the basic…

Biological Physics · Physics 2017-12-19 Jaime Agudo-Canalejo , Ramin Golestanian

The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generation metamaterials. The goal of this article is to…

Soft Condensed Matter · Physics 2025-06-23 Sanjay Dharmavaram , Basant Lal Sharma

Membranes are of great technological and biological as well as theoretical interest. Two main classes of membranes can be distinguished: Fluid membranes and polymerized, tethered membranes. Here, we review progress in the theoretical…

Condensed Matter · Physics 2007-05-23 Kay Joerg Wiese

We address the problem of the microscopic reorganization of a granular medium under a compaction process in the framework of Tetris-like models. We point out the existence of regions of spatial organization which we call domains, and study…

Statistical Mechanics · Physics 2009-11-07 A. Baldassarri , S. Krishnamurthy , V. Loreto , S. Roux