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A cell membrane can be simply regarded as composite material consisting of lipid bilayer, membrane cytoskeleton beneath lipid bilayer, and proteins embedded in lipid bilayer and linked with membrane cytoskeleton if one only concerns its…

Other Quantitative Biology · Quantitative Biology 2007-06-26 Z. C. Tu , R. An , Z. C. Ou-Yang

The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status in theoretical and experimental studies on the shapes of…

Soft Condensed Matter · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

Ever since the raft model for biomembranes has been proposed, the traditional view of biomembranes based on the fluid-mosaic model has been altered. In the raft model, dynamical heterogeneities in multi-component lipid bilayers play an…

Soft Condensed Matter · Physics 2014-10-16 Shigeyuki Komura , David Andelman

Correctly formulated continuum models for lipid-bilayer membranes present a significant challenge to computational mechanics. In particular, the mid-surface behavior is that of a 2-dimensional fluid, while the membrane resists bending much…

Soft Condensed Matter · Physics 2017-03-08 Siming Zhao , Timothy Healey , Qingdu Li

Coarse-grained continuous descriptions for lipid bilayers are typically based on minimizing the Helfrich energy. Such models consider the fluid properties of these structures only implicitly and have been shown to nicely reproduce…

Soft Condensed Matter · Physics 2026-04-29 Ingo Nitschke , Jan Magnus Sischka , Axel Voigt

Thin cylindrical tethers are common lipid bilayer membrane structures, arising in situations ranging from micromanipulation experiments on artificial vesicles to the dynamic structure of the Golgi apparatus. We study the shape and formation…

Soft Condensed Matter · Physics 2009-11-07 Thomas R. Powers , Greg Huber , Raymond E. Goldstein

Lipid membranes are abundant in living organisms, where they constitute a surrounding shell for cells and their organelles. There are many circumstances in which the deformations of lipid membranes are involved in living cells: fusion and…

Soft Condensed Matter · Physics 2022-11-17 Konstantin V. Pinigin

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

Biological membranes are known to form various structural motifs, from lipid bilayers to tubular filaments and networks facilitating e.g. adhesion and cell-cell communication. To understand the biophysical processes underpinning lipid-lipid…

Soft Condensed Matter · Physics 2025-12-30 David Regan , Paola Borri , Wolfgang Langbein

The transport of particles across lipid-bilayer membranes is important for biological cells to exchange information and material with their environment. Large particles often get wrapped by membranes, a process which has been intensively…

Soft Condensed Matter · Physics 2024-06-04 Jiarul Midya , Thorsten Auth , Gerhard Gompper

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

We study red blood cells using the Helfrich-Canham functional: due to their lipid bilayer structure, RBCs are naturally modeled using the theory of elastic surfaces. In this study, we demonstrate that Cassinian ovals, except for the…

Differential Geometry · Mathematics 2025-07-29 Eugenio Aulisa , Stone Fields , Magdalena Toda

The elastic properties of a self-assembled bilayer membrane are studied using the self-consistent field theory, applied to a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents. Examining the…

Biological Physics · Physics 2013-07-19 Jianfeng Li , Kyle A. Pastor , An-Chang Shi , Friederike Schmid , Jiajia Zhou

This chapter summarizes several approaches combining theory, simulation and experiment that aim for a better understanding of phenomena in lipid bilayers and membrane protein systems, covering topics such as lipid rafts, membrane mediated…

Biological Physics · Physics 2014-12-17 Markus Deserno , Kurt Kremer , Harald Paulsen , Christine Peter , Friederike Schmid

After a brief introduction to several variational problems in the study of shapes of thin thickness structures, we deal with variational problems on 2-dimensional surface in 3-dimensional Euclidian space by using exterior differential…

Mathematical Physics · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

Biomembranes play a central role in various phenomena like locomotion of cells, cell-cell interactions, packaging of nutrients, and in maintaining organelle morphology and functionality. During these processes, the membranes undergo…

Quantitative Methods · Quantitative Biology 2021-12-01 Debabrata Auddya , Xiaoxuan Zhang , Rahul Gulati , Ritvik Vasan , Krishna Garikipati , Padmini Rangamani , Shiva Rudraraju

We outline a concept of self-assembled soft matter devices based on micro-fluidics, which use surfactant bilayer membranes as their main building blocks, arrested in geometric structures provided by top-down lithography. Membranes form…

Soft Condensed Matter · Physics 2011-03-29 Shashi Thutupalli , Stephan Herminghaus , Ralf Seemann

From multicellular tissues to bacterial colonies, three dimensional cellular structures arise through the interaction of cellular activities and mechanical forces. Simple bacterial communities provide model systems for analyzing such…

Soft Condensed Matter · Physics 2024-01-11 Ana Carpio , Elena Cebrian , David R. Espeso , Perfecto Vidal

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

Many cellular organelles are membrane-bound structures with complex membrane composition and shape. Their shapes have been observed to depend on the metabolic state of the organelle, and the mechanisms that couple biochemical pathways and…

Soft Condensed Matter · Physics 2023-07-19 Toni V. Mendes , Jonas Ranft , Hélène Berthoumieux
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