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Related papers: Modelling and Simulations of Multi-component Lipid…

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We present an overview of phase field modeling of active matter systems as a tool for capturing various aspects of complex and active interfaces. We first describe how interfaces between different phases are characterized in phase field…

Soft Condensed Matter · Physics 2021-02-26 Romain Mueller , Amin Doostmohammadi

Lipid membranes, the barrier defining living cells and many of their sub-compartments, bind to a wide variety of nano- and micro-meter sized objects. In the presence of strong adhesive forces, membranes can strongly deform and wrap the…

Within a coupled-field Ginzburg-Landau model we study analytically phase separation and accompanying shape deformation on a two-phase elastic membrane in simple geometries such as cylinders, spheres and tori. Using an exact periodic domain…

Soft Condensed Matter · Physics 2009-10-31 Y. Jiang , T. Lookman , A. Saxena

Despite their significance in biology and materials science, the dynamics of multicomponent vesicles under shear flow remain poorly understood because of their nonlinear and strongly coupled nature, especially regarding the role of membrane…

Soft Condensed Matter · Physics 2025-09-11 Shuqi Tang , Steven M. Wise , John Lowengrub , Zhenlin Guo

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…

Numerical Analysis · Mathematics 2014-11-17 Michael Mikucki , Y. C. Zhou

The paper presents a complete research cycle comprising continuum-based modeling, computational framework development, and validation setup to predict phase separation and surface hydrodynamics in lipid bilayer membranes. We starting with…

Numerical Analysis · Mathematics 2025-10-14 Maxim Olshanskii , Annalisa Quaini

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

Cell deformability is an essential determinant for tissue-scale mechanical nature, such as fluidity and rigidity, and is thus crucial for understanding tissue homeostasis and stable developmental processes. However, numerical simulations…

Tissues and Organs · Quantitative Biology 2023-03-08 Nen Saito , Shuji Ishihara

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

Analysis of PDEs · Mathematics 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

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

We present a simple and computationally efficient coarse-grained and solvent-free model for simulating lipid bilayer membranes. In order to be used in concert with particle-based reaction-diffusion simulations, the model is purely based on…

Biological Physics · Physics 2018-01-31 Mohsen Sadeghi , Thomas R. Weikl , Frank Noé

Simulation of a multicomponent lipid bilayer having a fixed percentage of cholesterol is done to study phase transition leading to domain formation. The concept of random lattice has been used in simulation to account for the coupling…

Soft Condensed Matter · Physics 2015-06-25 Srilekha Banerjee , Jayashree Saha

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different density. A non-conserved smectic order parameter is coupled to a…

Soft Condensed Matter · Physics 2022-02-02 Eduardo Vitral , Perry H. Leo , Jorge Viñals

The self-organization of proteins into enriched compartments and the formation of complex patterns are crucial processes for life on the cellular level. Liquid-liquid phase separation is one mechanism for forming such enriched compartments.…

Soft Condensed Matter · Physics 2025-04-07 Antonia Winter , Yuhao Liu , Alexander Ziepke , George Dadunashvili , Erwin Frey

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

Fluid Dynamics · Physics 2021-09-16 Qi Hong , Qi Wang

Lipid vesicles composed of a mixture of two types of lipids are studied by intensive Monte-Carlo numerical simulations. The coupling between the local composition and the membrane shape is induced by two different spontaneous curvatures of…

Soft Condensed Matter · Physics 2020-07-15 Julie Cornet , Nicolas Destainville , Manoel Manghi

We propose a model that accounts for the budding transition of asymmetric two-component lipid domains, where the two monolayers (leaflets) have different average compositions controlled by independent chemical potentials. Assuming a…

Soft Condensed Matter · Physics 2016-09-16 Jean Wolff , Shigeyuki Komura , David Andelman

In this work, the nonlinear dynamics of a fully three-dimensional multicomponent vesicle in shear flow are explored. Using a volume- and area-conserving projection method coupled to a gradient-augmented level set and surface phase method,…

Soft Condensed Matter · Physics 2018-05-22 Prerna Gera , David Salac

Encapsulation of chemicals using polymer membranes enables to control their transport and delivery for applications such as agrochemistry or detergency. To rationalize the design of polymer capsules, it is necessary to understand how the…

Soft Condensed Matter · Physics 2018-12-18 Corentin Tregouët , Thomas Salez , Mathilde Reyssat , Cécile Monteux