Swinging and tumbling of multicomponent vesicles in flow
arXiv:2108.10671 · doi:10.1017/jfm.2022.40
Abstract
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 in two dimensions 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.
26 pages, 6 figures
References in corpus (8)
- Swinging of red blood cells under shear flow
- Dynamics of a viscous vesicle in linear flows
- Dynamics of nearly spherical vesicles in an external flow
- Swinging and tumbling of elastic capsules in shear flow
- Two-Dimensional Fluctuating Vesicles in Linear Shear Flow
- Fluctuation spectroscopy of giant unilamellar vesicles using confocal and phase contrast microscopy
- Electrohydrodynamics of Three-Dimensional Vesicles: A Numerical Approach
- Hydrodynamics of a Semipermeable Vesicle Under Flow and Confinement