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Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk free energies of the liquid crystal with geometric properties of the…

Soft Condensed Matter · Physics 2021-03-17 Ingo Nitschke , Sebastian Reuther , Axel Voigt

Under dehydration conditions, amphipathic Late Embryogenesis Abundant (LEA) proteins fold spontaneously from a random conformation into alpha-helical structures and this transition is promoted by the presence of membranes. To gain insight…

Biological Physics · Physics 2012-06-27 Sergey Pogodin , Nigel K. H. Slater , Vladimir A. Baulin

A phase field model for dealing with shape instabilities in fluid membrane vesicles is presented. This model takes into account the Canham-Helfrich bending energy with spontaneous curvature. A dynamic equation for the phase-field is also…

Soft Condensed Matter · Physics 2007-07-26 F. Campelo , A. Hernandez-Machado

Membrane bending is an extensively studied problem from both modeling and experimental perspectives because of the wide implications of curvature generation in cell biology. Many of the curvature generating aspects in membranes can be…

Soft Condensed Matter · Physics 2021-07-21 Arijit Mahapatra , David Saintillan , Padmini Rangamani

A model of lipid bilayers made of a mixture of two lipids with different average compositions on both leaflets, is developed. A Landau hamiltonian describing the lipid-lipid interactions on each leaflet, with two lipidic fields $\psi_1$ and…

Soft Condensed Matter · Physics 2014-08-28 Guillaume Gueguen , Nicolas Destainville , Manoel Manghi

We focus on the derivation and analysis of a model for multi-component phase separation occurring on biological membranes, inspired by observations of lipid raft formation. The model integrates local membrane composition with local membrane…

Analysis of PDEs · Mathematics 2025-07-08 Diogo Caetano , Charles M. Elliott , Maurizio Grasselli , Andrea Poiatti

We review recent computer simulation studies of undulating lipid bilayers. Theoretical interpretations of such fluctuating membranes are most commonly based on generalized Helfrich-type elastic models, with additional contributions of local…

Biological Physics · Physics 2013-09-03 Friederike Schmid

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

During the early-stages of embryo development, morphogenesis--- the emergence of shape and form in living organisms--- is almost exclusively associated with monolayers of tightly bound epithelial cells. To understand how such tissues change…

Soft Condensed Matter · Physics 2019-08-28 Richard G. Morris , Madan Rao

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

Many bacterial species are helical in form, including the widespread pathogen H. pylori. Motivated by recent experiments on H. pylori showing that cell wall synthesis is not uniform, we investigate the possible formation of helical cell…

Soft Condensed Matter · Physics 2024-01-15 Cesar L. Pastrana , Luyi Qiu , Shahaf Armon , Ulrich Gerland , Ariel Amir

The shape transformations of fluid membranes induced by curved protein rods are studied using meshless membrane simulations. The rod assembly at low rod density induces a flat membrane tube and oblate vesicle. It is found that the…

Soft Condensed Matter · Physics 2015-09-30 Hiroshi Noguchi

With tangent angle perturbation approach the axial symmetry deformation of a spherical vesicle in large under the pressure changes is studied by the elasticity theory of Helfrich spontaneous curvature model.Three main results in axial…

Biological Physics · Physics 2009-11-07 Jianjun Zhou , Yong Zhang , Xin Zhou , Ou-Yang Zhong-can

We study the equilibrium shapes of vesicles, with an in-plane nematic order, using a Monte-Carlo scheme and show that highly curved shapes, like tubes and discs, with a striking similarity to the structures engendered by certain curvature…

Biological Physics · Physics 2012-02-16 N. Ramakrishnan , John H. Ipsen , P. B. Sunil Kumar

The function of membrane-embedded proteins such as ion channels depends crucially on their conformation. We demonstrate how conformational changes in asymmetric membrane proteins may be inferred from measurements of their diffusion. Such…

Soft Condensed Matter · Physics 2015-11-20 Richard G. Morris , Matthew S. Turner

In active matter systems, deformable boundaries provide a mechanism to organize internal active stresses and perform work on the external environment. To study a minimal model of such a system, we perform particle-based simulations of an…

Soft Condensed Matter · Physics 2022-01-05 Matthew S. E. Peterson , Aparna Baskaran , Michael F. Hagan

The membrane curvature of cells and intracellular compartments continuously adapts to enable cells to perform vital functions, from cell division to signal trafficking. Understanding how membrane geometry affects these processes in vivo is…

Membrane phase-separation is a mechanism that biological membranes often use to locally concentrate specific lipid species in order to organize diverse membrane processes. Phase separation has also been explored as a tool for the design of…

Computational Physics · Physics 2020-06-26 Alexander Zhiliakov , Yifei Wang , Annalisa Quaini , Maxim Olshanskii , Sheereen Majd

Motivated by recent experimental work on multicomponent lipid membranes supported by colloidal scaffolds, we report an exhaustive theoretical investigation of the equilibrium configurations of binary mixtures on curved substrates. Starting…

Soft Condensed Matter · Physics 2018-09-12 Piermarco Fonda , Melissa Rinaldin , Daniela J. Kraft , Luca Giomi

Large-scale cellular transformations are triggered by subtle physical and structural changes in individual biomacromolecular and membrane components. A prototypical example of such an event is the orchestrated fusion of membranes within an…

Soft Condensed Matter · Physics 2023-10-02 Ashesh Ghosh , Andrew J. Spkaowitz