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A novel two-leaflet description of lipid membranes is proposed. Within its framework, phase separation phenomena in multicomponent biological membranes are analyzed. As we show, interactions between the leaflets tend to suppress macroscopic…

Biological Physics · Physics 2016-02-03 Ramon Reigada , Alexander S. Mikhailov

Morphological change of bilayer membrane in vivo is not a spontaneous procedure but modulated by various types of proteins in general. Most of these modulations are associated with the localization of related proteins in the crowded lipid…

Quantitative Methods · Quantitative Biology 2016-06-30 Michael Mikucki , Y. C. Zhou

This review reports some theoretical results on the Geometry of membranes. The governing equations to describe equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are derived from the…

Soft Condensed Matter · Physics 2011-12-30 Z. C. TU

The ability to measure the mean and Gaussian curvature in lipid mesophases is important in our understanding of their formation and properties, and can be achieved both experimentally and computationally. Here we show that curvature can be…

Soft Condensed Matter · Physics 2021-01-22 Christopher Brasnett , Annela Seddon

Most biological tissues grow by the synthesis of new material close to the tissue's interface, where spatial interactions can exert strong geometric influences on the local rate of growth. These geometric influences may be mechanistic, or…

Numerical Analysis · Mathematics 2020-05-28 Mohd Almie Alias , Pascal R Buenzli

Nanoscale membrane assemblies of sphingolipids, cholesterol, and certain proteins, also known as lipid rafts, play a crucial role in facilitating a broad range of important cell functions. Whereas on living cell membranes lipid rafts have…

Our ability to produce human-scale bio-manufactured organs is critically limited by the need for vascularization and perfusion. For tissues of variable size and shape, including arbitrarily complex geometries, designing and printing…

Reconstructing the three-dimensional (3D) geometry of object surfaces is essential for robot perception, yet vision-based approaches are generally unreliable under low illumination or occlusion. This limitation motivates the design of a…

Robotics · Computer Science 2026-01-21 Guanyu Xu , Jiaqi Wang , Dezhong Tong , Xiaonan Huang

A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of nutrients to growing cells. Typical models of cell growth for…

Tissues and Organs · Quantitative Biology 2018-05-01 Andrew L. Krause , Dmitry Beliaev , Robert A. Van Gorder , Sarah L. Waters

Membrane proteins and lipids can self-assemble into membrane protein polyhedral nanoparticles (MPPNs). MPPNs have a closed spherical surface and a polyhedral protein arrangement, and may offer a new route for structure determination of…

Biological Physics · Physics 2017-04-28 Di Li , Osman Kahraman , Christoph A. Haselwandter

Adsorption of proteins onto membranes can alter the local membrane curvature. This phenomenon has been observed in biological processes such as endocytosis, tubulation and vesiculation. However, it is not clear how the local surface…

Cell Behavior · Quantitative Biology 2016-04-28 Padmini Rangamani , Kranthi Kiran Mandadapu , George Oster

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

The Gaussian (saddle splay) rigidity of fluid membranes controls their equilibrium topology but is notoriously difficult to measure. In lipid mixtures, typical of living cells, linear interfaces separate liquid ordered (LO) from liquid…

Soft Condensed Matter · Physics 2020-11-04 Piermarco Fonda , Sami C. Al-Izzi , Luca Giomi , Matthew S. Turner

We present a simple coarse-grained bead-and-spring model for lipid bilayers. The system has been developed to reproduce the main (gel-liquid) transition of biological membranes on intermediate length scales of a couple of nanometres and is…

Soft Condensed Matter · Physics 2007-05-23 Olaf Lenz , Friederike Schmid

This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact solutions to the shape equation of lipid vesicles; (ii) exact…

Soft Condensed Matter · Physics 2017-07-27 Z. C. Tu

We propose a model describing liquid-solid phase coexistence in mixed lipid membranes by including explicitly the occurrence of a rippled phase. For a single component membrane, we employ a previous model in which the membrane thickness is…

Soft Condensed Matter · Physics 2012-01-31 N. Shimokawa , S. Komura , D. Andelman

This article is the second of a three-part series that derives a self-consistent theoretical framework of the electromechanics of arbitrarily curved lipid membranes. Existing continuum theories commonly treat lipid membranes as strictly…

Soft Condensed Matter · Physics 2025-02-26 Yannick A. D. Omar , Zachary G. Lipel , Kranthi K. Mandadapu

The assembly of curved protein rods on fluid membranes is studied using implicit-solvent meshless membrane simulations. As the rod curvature increases, the rods on a membrane tube assemble along the azimuthal direction first and…

Soft Condensed Matter · Physics 2016-05-18 Hiroshi Noguchi

There are a great many proteins that localize to and collectively generate curvature in biological fluid membranes. We study changes in the topology of fluid membranes due to the presence of highly anisotropic, curvature-inducing proteins.…

Soft Condensed Matter · Physics 2015-05-19 Kiyotaka Akabori , C. D. Santangelo

We study the phase separation of binary lipid mixtures that form bicontinuous cubic phases. The competition between non-uniform Gaussian membrane curvature and line tension leads to a very rich phase diagram, where we observe symmetry…

Soft Condensed Matter · Physics 2016-08-24 Fabien Paillusson , Matthew R. Pennington , Halim Kusumaatmaja
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