Modeling of multicomponent three-dimensional vesicles

Gera, Prerna; Salac, David

doi:10.1016/j.compfluid.2018.04.003

Cited by 13 publications

(13 citation statements)

References 63 publications

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“…The computational domain spans [−3, 3] 3 with a mesh size of 128 3 , while a constant time step of 5 × 10 −3 is used. In a prior work the authors demonstrate qualitative convergence with these parameters [30]. The computational domain is periodic in the x-and z-directions, with wall boundary conditions in the y-direction.…”

Section: Resultsmentioning

confidence: 87%

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Three-dimensional multicomponent vesicles: dynamics and influence of material properties

Gera

Salac

2018

Soft Matter

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In this work, the nonlinear hydrodynamics of a 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 field method, the dynamics are systematically studied as a function of the membrane bending rigidity difference between the components, the speed of diffusion compared to the underlying shear flow, and the strength of the phase domain energy compared to the bending energy. Using a pre-segregated vesicle, three dynamics are observed: stationary phase, phase-treading, and a new dynamic called vertical banding. These regimes are very sensitive to the strength of the domain line energy, as the vertical banding regime is not observed when the line energy is larger than the bending energy. The findings demonstrate that a complete understanding of multicomponent vesicle dynamics requires that the full three-dimensional system be modeled, and show the complexity obtained when considering heterogeneous material properties.

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Section: Resultsmentioning

confidence: 87%

“…[17]. For more details on the algorithm used to couple the system, readers are referred to Gera et al [30].…”

Section: E Numerical Methodsmentioning

confidence: 99%

Three-dimensional multicomponent vesicles: dynamics and influence of material properties

Gera

Salac

2018

Soft Matter

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“…Derivatives of the level sets are also tracked, in a so-called ‘jet’-scheme, to improve the accuracy of interpolants needed to communicate information from the membrane to the fluid and vice versa (Nave, Rosales & Seibold 2010; Seibold, Rosales & Nave 2012). More details on the numerical methods used and a convergence study for the code are available in the literature (Velmurugan, Kolahdouz & Salac 2016; Gera & Salac 2018 a ).…”

Section: Dynamics Of a Membrane With Uniform Materials Propertiesmentioning

confidence: 99%

Swinging and tumbling of multicomponent vesicles in flow

2022

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Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and rich dynamics when placed into a flow. Under the assumption of small deformations and a two-dimensional system, we develop a reduced-order model to describe the fluid-structure interaction between a viscous background shear flow and an inextensible membrane with spatially varying bending stiffness and spontaneous curvature. Material property variations of a critical magnitude, relative to the flow rate and internal/external viscosity contrast, can set off a qualitative change in the vesicle dynamics. A membrane of nearly constant bending stiffness or spontaneous curvature undergoes a small amplitude swinging motion (which includes tangential tank-treading), while for large enough material variations the dynamics pass through a regime featuring tumbling and periodic phase-lagging of the membrane material, and ultimately for very large material variation to a rigid-body tumbling behaviour. Distinct differences are found for even and odd spatial modes of domain distribution. Full numerical simulations are used to probe the theoretical predictions, which appear valid even when studying substantially deformed membranes.

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“…Derivatives of the level sets are also tracked, in a so-called "jet"-scheme, to improve the accuracy of interpolants needed to communicate information from the membrane to the fluid and vice-versa (Nave et al 2010;Seibold et al 2012). More details on the numerical methods used and a convergence study for the code are available in the literature (Velmurugan et al 2016;Gera & Salac 2018a).…”

Section: Equilibrium Deformation and Inclination Anglementioning

confidence: 99%

Swinging and tumbling of multicomponent vesicles in flow

Gera,

Salac,

Spagnolie

2021

Preprint

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Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially-varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and rich dynamics when placed into a flow. Under the assumption of small deformations we develop a reduced order model to describe the fluid-structure interaction between a viscous background shear flow and an inextensible membrane with spatially varying bending stiffness and spontaneous curvature. Material property variations of a critical magnitude, relative to the flow rate and internal/external viscosity contrast, can set off a qualitative change in the vesicle dynamics. A membrane of nearly constant bending stiffness or spontaneous curvature undergoes a small amplitude swinging motion (which includes tangential tank-treading), while for large enough material variations the dynamics pass through a regime featuring tumbling and periodic phase-lagging of the membrane material, and ultimately for very large material variation to a rigid body tumbling behavior. Distinct differences are found for even and odd spatial modes of domain distribution. Full numerical simulations are used to probe the theoretical predictions, which appear valid even when studying substantially deformed membranes.

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Modeling of multicomponent three-dimensional vesicles

Cited by 13 publications

References 63 publications

Three-dimensional multicomponent vesicles: dynamics and influence of material properties

Three-dimensional multicomponent vesicles: dynamics and influence of material properties

Swinging and tumbling of multicomponent vesicles in flow

Swinging and tumbling of multicomponent vesicles in flow

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