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Computation of biological processes creates great promise for everyday life and great challenges for physical scientists. Simulations of molecular dynamics appeal to biologists as a natural extension of structural biology. Once biologists…

Biomolecules · Quantitative Biology 2019-03-05 Bob Eisenberg

The fluctuations of two-dimensional extended objects membranes is a rich and exciting field with many solid results and a wide range of open issues. We review the distinct universality classes of membranes, determined by the local order,…

Soft Condensed Matter · Physics 2014-10-13 Mark J. Bowick , Alex Travesset

We present a novel buckling instability relevant to membrane budding in eukaryotic cells. In this mechanism, curved filaments bind to a lipid bilayer without changing its intrinsic curvature. As more and more filaments adsorb, newly added…

Biological Physics · Physics 2009-07-16 Martin Lenz , Daniel J. G. Crow , Jean-François Joanny

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

Cells and cellular organelles are encapsulated by nanometrically thin membranes whose main component is a lipid bilayer. In the presence of electric fields, the ion-impermeable lipid bilayer acts as a capacitor and supports a potential…

Soft Condensed Matter · Physics 2025-02-18 Shuozhen Zhao , Bhavya Balu , Zongxin Yu , Michael J. Miksis , Petia M. Vlahovska

We consider a model of a biomembrane with attached proteins. The membrane is represented by a near spherical continuous surface and attached proteins are described as discrete rigid structures which attach to the membrane at a finite number…

Analysis of PDEs · Mathematics 2021-12-14 Charles M. Elliott , Philip J. Herbert

Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, could be treated as periodic bi-domain structures, which…

Analysis of PDEs · Mathematics 2021-03-11 Chun Xiao , Xingye Yue , Huaxiong Huang , Shixin Xu

There are many processes in cell biology that can be modeled in terms of particles diffusing in a two-dimensional (2D) or three-dimensional (3D) bounded domain $\Omega \subset \R^d$ containing a set of small subdomains or interior…

Analysis of PDEs · Mathematics 2024-07-09 Paul C Bressloff

Lipid bilayer membranes below their main transition have two tilt order parameters, corresponding to the two monolayers. These two tilts may be strongly coupled to membrane shape but only weakly coupled to each other. We discuss some…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Julian Shillcock , Philip Nelson

A phenomenological Landau elasticity for the shape, dilation, and lipid-tilt of bilayer membranes is developed. The shape mode couples with the sum of the monolayers' tilt, while the dilation mode couples with the difference of the…

Soft Condensed Matter · Physics 2009-10-31 J. -B. Fournier

Contrary to existing theoretical models, experimental evidence points out that electroporation (membrane defect formation under external electric fields) starts to occur within the range of transmembrane voltages that cells may routinely…

Biological Physics · Physics 2007-05-23 Zlatko Vasilkoski

In experiments on model membranes, a formation of large domains of different lipid composition is readily observed. However, no such phase separation is observed in the membranes of intact cells. Instead, a structure of small transient…

Soft Condensed Matter · Physics 2017-08-23 Timo Fischer , H. Jelger Risselada , Richard L. C. Vink

Within the framework of the well-known curvature models, a fluid lipid bilayer membrane is regarded as a surface embedded in the three-dimensional Euclidean space whose equilibrium shapes are described in terms of its mean and Gaussian…

Mathematical Physics · Physics 2009-10-22 V. M. Vassilev , P. A. Djondjorov , I. M. Mladenov

Statistical ensembles of flexible two-dimensional fluid membranes arise naturally in the description of many physical systems. Typically one encounters such systems in a regime of low tension but high stiffness against bending, which is…

Condensed Matter · Physics 2016-08-31 Philip Nelson , Thomas Powers

Computer simulations of coarse-grained molecular models for amphiphilic systems can provide insight into the the structure of amphiphiles at interfaces. They can help to identify the factors that determine the phase behavior, and they can…

Soft Condensed Matter · Physics 2007-05-23 Friederike Schmid , Dominik Düchs , Olaf Lenz , Claire Loison

This paper attempts to review our studies on the propagation of signals in nerves over the past decade. The need for interdisciplinary studies is stressed that helps to understand the physical mechanisms of coupling the electrical,…

Biological Physics · Physics 2024-12-24 Jüri Engelbrecht , Kert Tamm , Tanel Peets

A major part of membrane function is conducted by proteins, both integral and peripheral. Peripheral membrane proteins temporarily adhere to biological membranes, either to the lipid bilayer or to integral membrane proteins with…

Biomolecules · Quantitative Biology 2014-06-27 Katerina C. Nastou , Georgios N. Tsaousis , Kimon E. Kremizas , Zoi I. Litou , Stavros J. Hamodrakas

The interplay of membrane proteins is vital for many biological processes, such as cellular transport, cell division, and signal transduction between nerve cells. Theoretical considerations have led to the idea that the membrane itself…

Soft Condensed Matter · Physics 2016-11-28 Casper van der Wel , Afshin Vahid , Anđela Šarić , Timon Idema , Doris Heinrich , Daniela J. Kraft

Despite decades of extensive research, the large-scale analysis of membrane proteins remains a difficult task. This is due to the fact that membrane proteins require a carefully balanced hydrophilic and lipophilic environment, which optimum…

Genomics · Quantitative Biology 2009-06-15 Thierry Rabilloud

Viscosity is a key property of cell membranes that controls mobility of embedded proteins and membrane remodeling. Measuring it is challenging because existing approaches involve complex experimental designs and/or models, and the…

Soft Condensed Matter · Physics 2023-07-19 Hammad A. Faizi , Rumiana Dimova , Petia M. Vlahovska
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