ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2009
Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed.
- Diffusion through complex confining environments: Motion in fluctuating porous membrane structures.Biophysical journal · 2026Article
- Article
- Phase field modeling and computation of vesicle growth or shrinkage.Journal of mathematical biology · 2023Article
- A general computational framework for the dynamics of single- and multi-phase vesicles and membranes.Journal of computational physics · 2022Article
- Computable early Caenorhabditis elegans embryo with a phase field model.PLoS computational biology · 2022Article
- Coupling traction force patterns and actomyosin wave dynamics reveals mechanics of cell motion.Molecular systems biology · 2021Article
- Article
- A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery.Materials (Basel, Switzerland) · 2020Review
- Stochastic phase segregation on surfaces.Royal Society open science · 2017Article
- Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation.Journal of mathematical biology · 2017Article
- Curvature-Induced Spatial Ordering of Composition in Lipid Membranes.Computational and mathematical methods in medicine · 2017Article
- Numerical simulation of endocytosis: Viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules.Journal of computational physics · 2016Article
- Signaling networks and cell motility: a computational approach using a phase field description.Journal of mathematical biology · 2014Article
- Particles at fluid-fluid interfaces: A new Navier-Stokes-Cahn-Hilliard surface- phase-field-crystal model.Physical review. E, Statistical, nonlinear, and soft matter physics · 2012Article
- A diffuse-interface method for two-phase flows with soluble surfactants.Journal of computational physics · 2011Article
- New Finite Difference Methods Based on IIM for Inextensible Interfaces in Incompressible Flows.East Asian journal on applied mathematics · 2011Article
- Multi-cellular logistics of collective cell migration.PloS one · 2011Article
- Computational model for cell morphodynamics.Physical review letters · 2010Article
- Dynamic sorting of lipids and proteins in membrane tubes with a moving phase boundary.Proceedings of the National Academy of Sciences of the United States of America · 2010Article
- Phase separation in biological membranes: integration of theory and experiment.Annual review of biophysics · 2010Review
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Authors and funding
3 authors.
Funding
Abstract
We develop a thermodynamically consistent phase-field model to simulate the dynamics of multicomponent vesicles. The model accounts for bending stiffness, spontaneous curvature, excess (surface) energy, and a line tension between the coexisting surface phases. Our approach is similar to that recently used by Wang and Du [J. Math. Biol. 56, 347 (2008)] with a key difference. Here, we concentrate on the dynamic evolution and solve the surface mass conservation equation explicitly; this equation was not considered by Wang and Du. The resulting fourth-order strongly coupled system of nonlinear nonlocal equations are solved numerically using an adaptive finite element numerical method. Although the system is valid for three dimensions, we limit our studies here to two dimensions where the vesicle is a curve. Differences between the spontaneous curvatures and the bending rigidities of the surface phases are found numerically to lead to the formation of buds, asymmetric vesicle shapes and vesicle fission even in two dimensions. In addition, simulations of configurations far from equilibrium indicate that phase separation via spinodal decomposition and coarsening not only affect the vesicle shape but also that the vesicle shape affects the phase separation dynamics, especially the coarsening and may lead to lower energy states than might be achieved by evolving initially phase-separated configurations.
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