Analytical and numerical solutions for shapes of quiescent two-dimensional vesicles
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- Type
- article
- Published
- 2009-04-01
- Cited by
- 26
- References
- 28
- OpenAlex
- https://openalex.org/W2032527054
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:33770611
Keywords
Maxima and minima, Boundary (topology), Boundary value problem, Vesicle, Mathematical analysis
References
- Differential Geometry of Curves and Surfaces: A Concise Guide
- Boundary Integral Methods in Fluid Mechanics
- Geometric methods in the elastic theory of membranes in liquid crystal phases
- Iterative methods for sparse linear systems
- Computer methods for ordinary differential equations and differential-algebraic equations
- The applications of elliptic functions
- Vacillating breathing and tumbling of vesicles under shear flow.
- Two-dimensional model of vesicle adhesion on curved substrates
- Configurations of fluid membranes and vesicles
- Coarse-grained simulations of lipid bilayers.
- Area-constrained planar elastica.
- Deformation of giant lipid bilayer vesicles in a shear flow
- Deformation energy of vesicles at fixed volume and surface area in the spherical limit.
- Orientation and dynamics of a vesicle in tank-treading motion in shear flow.
- Supported Membranes: Scientific and Practical Applications
- Transition to tumbling and two regimes of tumbling motion of a vesicle in shear flow.
- Microtubules and vesicles under controlled tension
- Shape transitions of fluid vesicles and red blood cells in capillary flows.
- A treatise on the mathematical theory of elasticity
- Hybrid Gauss-Trapezoidal Quadrature Rules
Cited by
- The elastica problem under area constraint
- Elastic energy of a convex body
- Vesicle dynamics in uniform electric fields: squaring and breathing.
- The effect of glass-forming sugars on vesicle morphology and water distribution during drying
- Mechanical collapse of confined fluid membrane vesicles
- Vesicle tumbling inhibited by inertia
- Softly constrained films
- An adaptive finite element method for the modeling of the equilibrium of red blood cells
- Continuum modeling of the electric-field-induced tension in deforming lipid vesicles.
- A semi-implicit finite element method for viscous lipid membranes
- Elastic membranes in confinement
- Fast, High-order Algorithms for Simulating Vesicle Flows Through Periodic Geometries.
- Morphology of elastic nematic liquid crystal membranes.
- Wrinkling and folding patterns in a confined ferrofluid droplet with an elastic interface.
- Analytical solutions for a conical elastic sheet under a live normal load
- Landau-like theory for buckling phenomena and its application to the elastica hypoarealis
- Hydrodynamics of a semipermeable inextensible membrane under flow and confinement
- A new two-component approach in modeling red blood cells
- The tension determination problem for an inextensible interface in 2D Stokes flow
- The Immersed Inextensible Interface Problem in 2D Stokes Flow
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