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By means of Surface Evolver (Exp. Math,1,141 1992), a software package of brute-force energy minimization over a triangulated surface developed by the geometry center of University of Minnesota, we have numerically searched the…

生物物理 · 物理学 2009-10-31 Yan Jie , Liu Quan-Hui , Liu Ji-Xing , Ou-Yang Zhong-Can

We examine the deformation of homogeneous spherical fluid vesicles along their equator by a circular rigid ring. We consider deformations preserving the axial and equatorial mirror symmetries of the vesicles. The configurations of the…

软凝聚态物质 · 物理学 2025-03-27 Pablo Vázquez-Montejo , Bojan Božič , Jemal Guven

The shape deformation of a three-dimensional axisymmetric vesicle with encapsulated filaments or impurities is analyzed by integrating a dissipation dynamics. This method can incorporate systematically the constraint of a fixed surface area…

软凝聚态物质 · 物理学 2009-11-07 Akiyoshi shibuya , Yukio Saito , Hiroyuki Hyuga

We have extended the Helfrich's spontaneous curvature model [M. Iwamoto and Z. C. Ou-Yang. Chem. Phys. Lett. \textbf{590}(2013)183; Y. X. Deng, et.al., EPL. \textbf{123}(2018)68002] of the equilibrium vesicle shapes by adding the…

软凝聚态物质 · 物理学 2019-10-10 Yao-Gen Shu , Zhong-Can Ou-Yang

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…

软凝聚态物质 · 物理学 2007-07-26 F. Campelo , A. Hernandez-Machado

Morphologies of a vesicle confined in a spherical vesicle were explored experimentally by fast confocal laser microscopy and numerically by a dynamically-triangulated membrane model with area-difference elasticity. The confinement was found…

软凝聚态物质 · 物理学 2014-04-08 Ai Sakashita , Masayuki Imai , Hiroshi Noguchi

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…

软凝聚态物质 · 物理学 2021-03-17 Ingo Nitschke , Sebastian Reuther , Axel Voigt

We propose a numerical method for fluid deformable surfaces governed by surface Stokes flow and Helfrich bending energy under active growth, aiming to model shape evolution of the epithelium in developmental processes. To prevent…

流体动力学 · 物理学 2026-02-17 Maik Porrmann , Sören Bartels , Axel Voigt

We study the conditions on the physical parameters in the Helfrich bending energy of lipid bilayer vesicles. Among embedded surfaces with a biconcave axisymmetric shape, the variation equation is analyzed in detail. This leads to simple…

偏微分方程分析 · 数学 2007-05-23 Thomas Kwok-keung Au , Tom Yau-heng Wan

We develop an analytical theory to explain the experimentally-observed morphological transitions of giant vesicles induced by AC electric fields (1). The model treats the inner and suspending media as lossy dielectrics, while the membrane…

生物物理 · 物理学 2015-05-13 Petia Vlahovska , Ruben Serral Gracia , Said Aranda , Rumiana Dimova

While the behavior of vesicles in thermodynamic equilibrium has been studied extensively, how active forces control vesicle shape transformations is not understood. Here, we combine theory and simulations to study the shape behavior of…

软凝聚态物质 · 物理学 2019-10-09 Yao Li , Pieter Rein ten Wolde

We conduct a systematic exploration of the energy landscape of vesicle morphologies within the framework of the Helfrich model. Vesicle shapes are determined by minimizing the elastic energy subject to constraints of constant area and…

软凝聚态物质 · 物理学 2023-11-27 Rodrigo B. Reboucas , Hammad A. Faizi , Michael J. Miksis , Petia M. Vlahovska

Biological membranes constantly change their shape in response to external stimuli, and understanding the remodeling and stability of vesicles in heterogeneous environments is therefore of fundamental importance for a range of cellular…

软凝聚态物质 · 物理学 2022-12-20 Håkan Wennerström , Emma Sparr , Joakim Stenhammar

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

软凝聚态物质 · 物理学 2023-04-19 Reiner Kree , Annette Zippelius

The equilibrium shapes of vesicles are governed by the general shape equation which is derived from the minimization of the Helfrich elastic free energy and can be reduced to the Willmore equation in a special case. The general shape…

软凝聚态物质 · 物理学 2017-08-28 Xiaohua Zhou

We investigate how thin structures change their shape in response to non-mechanical stimuli that can be interpreted as variations in the structure's natural curvature. Starting from the theory of non-Euclidean plates and shells, we derive…

软凝聚态物质 · 物理学 2017-06-08 Matteo Pezzulla , Norbert Stoop , Xin Jiang , Douglas P. Holmes

We investigate experimentally the early stage of the generation of waves by a turbulent wind at the surface of a viscous liquid. The spatio-temporal structure of the surface deformation is analyzed by the optical method Free Surface…

流体动力学 · 物理学 2020-12-09 Anna Paquier , Frederic Moisy , Marc Rabaud

Lipid vesicles appear ubiquitously in biological systems. Understanding how the mechanical and intermolecular interations deform vesicle membrane is a fundamental question in biophysics. In this article we developed a fast algorithm to…

数值分析 · 数学 2014-11-17 Michael Mikucki , Y. C. Zhou

An analytic solution for Helfrich spontaneous curvature membrane model (H. Naito, M.Okuda and Ou-Yang Zhong-Can, Phys. Rev. E {\bf 48}, 2304 (1993); {\bf 54}, 2816 (1996)), which has a conspicuous feature of representing the circular…

软凝聚态物质 · 物理学 2009-10-31 Quan-Hui Liu , Zhou Haijun , Ji-Xing Liu , Ou-Yang Zhong-Can

The disk-to-vesicle transition of a fluid membrane with no spontaneous curvature is well described by the competition between edge line and curvature energies. However, the transition of asymmetric membranes with spontaneous curvatures is…

软凝聚态物质 · 物理学 2019-09-24 Hiroshi Noguchi
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