Wrinkling of Vesicles during Transient Dynamics in Elongational Flow

Turitsyn, Konstantin; Vergeles, S. S.

doi:10.1103/physrevlett.100.028103

Cited by 41 publications

(65 citation statements)

References 17 publications

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“…Strong shape deformations can occur only through a concave vesicle shape attained during compression, which is associated with a negative surface tension. One can expect the appearance of an instability, manifesting itself in the generation of higher order shape harmonics, similar to the wrinkling instability observed in a time-dependent elongation flow (25,26). Indeed, a significant third order harmonic was observed in TR at all values of S studied (see Fig.…”

Section: Resultsmentioning

confidence: 71%

Dynamics of a vesicle in general flow

Deschamps

Kantsler

Segre

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

114

128

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An approach to quantitatively study vesicle dynamics as well as biologically-related micro-objects in a fluid flow, which is based on the combination of a dynamical trap and a control parameter, the ratio of the vorticity to the strain rate, is suggested. The flow is continuously varied between rotational, shearing, and elongational in a microfluidic 4-roll mill device, the dynamical trap, that allows scanning of the entire phase diagram of motions, i.e., tank-treading (TT), tumbling (TU), and trembling (TR), using a single vesicle even at ‫؍‬ in/out ‫؍‬ 1, where in and out are the viscosities of the inner and outer fluids. This cannot be achieved in pure shear flow, where the transition between TT and either TU or TR is attained only at >1. As a result, it is found that the vesicle dynamical states in a general are presented by the phase diagram in a space of only 2 dimensionless control parameters. The findings are in semiquantitative accord with the recent theory made for a quasi-spherical vesicle, although vesicles with large deviations from spherical shape were studied experimentally. The physics of TR is also uncovered. U nderstanding the rheology of biofluids remains a great challenge, whose progress relies, in a large part, on detailed studies of the dynamics of a single cell. Vesicles are a model system used to study the dynamic behavior of biological cells, similar in some respects to red blood cells, and their dynamics in shear flow have been the subject of intensive theoretical (1-8), numerical (9-13), and experimental (14-18) investigations.A vesicle is a droplet of viscous fluid encapsulated by a phospholipid bilayer membrane suspended in a fluid of either the same or different viscosity as the inner one. Both the volume and the surface area of the vesicle are conserved. The former means that the vesicle membrane is considered to be impermeable, at least on the time scale of the experiment, and the latter means that the membrane dilatation is neglected since it is 2D fluid (1,2). Experimental, theoretical, and computational efforts during the last decade led to the observation and characterization of 3 states in vesicle dynamics in shear flow. The existence of the first 2, tank-treading (TT) and tumbling (TU), and the transition between them were already predicted by a phenomenological model of Keller and Skalak (19) and its further extensions (2,11,12). Two control parameters, the excess area ⌬ ϭ A/R 2 -4 and the viscosity contrast ϭ in / out , determine the transition line c (⌬) between TT and TU, which is independent of the shear rate ␥ in the approximation of a fixed vesicle shape, with the vesicle inclination angle with respect to the flow direction as the only dynamical variable (2,9,10,16-19). Here, R is the effective vesicle radius, related to the volume via V ϭ 4/3R 3 , A is the vesicle surface area, and in and out are the viscosities of the inner and outer fluids. Another analytical approach based on a quasi-spherical vesicle approximated by a spherical harmonics expansion used a perturb...

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Section: Resultsmentioning

confidence: 71%

Dynamics of a vesicle in general flow

Deschamps

Kantsler

Segre

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

114

128

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“…Recently, the dynamics of lipid vesicles in steady shear flow was intensively investigated [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. A lipid vesicle can be considered as a microcapsule in the small limit of the shear modulus µ → 0.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modes of microcapsules in steady shear flow: Effects of bending and shear elasticities

Noguchi

2010

Phys. Rev. E

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The dynamics of microcapsules in steady shear flow was studied using a theoretical approach based on three variables: The Taylor deformation parameter αD, the inclination angle θ, and the phase angle φ of the membrane rotation. It is found that the dynamic phase diagram shows a remarkable change with an increase in the ratio of the membrane shear and bending elasticities. A fluid vesicle (no shear elasticity) exhibits three dynamic modes: (i) Tank-treading (TT) at low viscosity ηin of internal fluid (αD and θ relaxes to constant values), (ii) Tumbling (TB) at high ηin (θ rotates), and (iii) Swinging (SW) at middle ηin and high shear rateγ (θ oscillates). All of three modes are accompanied by a membrane (φ) rotation. For microcapsules with low shear elasticity, the TB phase with no φ rotation and the coexistence phase of SW and TB motions are induced by the energy barrier of φ rotation. Synchronization of φ rotation with TB rotation or SW oscillation occurs with integer ratios of rotational frequencies. At high shear elasticity, where a saddle point in the energy potential disappears, intermediate phases vanish, and either φ or θ rotation occurs. This phase behavior agrees with recent simulation results of microcapsules with low bending elasticity.

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“…Wrinkling has also been observed in experiments of vesicles by Kantsler et al [19] under time-dependent elongation flow [19]. It has been suggested that the winkling phenomena are related to the dynamical instability induced by negative surface tension of the membrane [20] during the vesicle deflation. These wrinkles usually are associated with higher [c]…”

Section: Relaxation Dynamics Of An Ellipse With Arclength Constraintmentioning

confidence: 51%

“…Kantsler et al also found that vesicle wrinkling may occur in time-dependent elongation flow [19,6]. It has been suggested that the winkling phenomena are related to the dynamical instability induced by negative surface tension of the membrane [20].…”

Section: Introductionmentioning

confidence: 96%

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Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids

Lowengrub

Voigt

2012

Communications in Mathematical Sciences

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Abstract. Recent experimental results on giant unilamellar vesicles (GUVs) show that mixed multiple lipid components on the surface of a membrane may decompose into coexisting phases with distinct compositions, with concomitant changes in the surface morphology. The driving forces for the evolution involves bending, line tension along the phase boundaries, inhomogeneous surface energy, and fluid forces. Here we are interested in exploring the emergent morphologies when the flow is present, and in particular when the surface tensions of the coexisting phases are different, which has not been considered previously. In this paper, we present a model capable of describing the nonlinear coupling among flow, membrane morphology, and the evolution of the surface phases. Using an energy variation approach, we derive a generalized surface tension and construct a constitutive equation connecting the surface tension and the phase variables. To investigate the nonlinear dynamics, we develop a numerical method that combines the immersed interface method to solve the flow equations, the level-set method to capture the interface motion, a non-stiff Eulerian algorithm to solve the phase field equations on the evolving surface, and a penalty term that enforces global inextensibility. Our numerical results suggest that the nonhomogeneous surface tension, together with the flow, introduces nontrivial vesicle dynamics including locomotion, wrinkling, and budding.

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Wrinkling of Vesicles during Transient Dynamics in Elongational Flow

Cited by 41 publications

References 17 publications

Dynamics of a vesicle in general flow

Dynamics of a vesicle in general flow

Dynamic modes of microcapsules in steady shear flow: Effects of bending and shear elasticities

Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids

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