Deformation of a capsule in simple shear flow: Effect of membrane prestress

Lac, Étienne; Barthès-Biesel, Dominique

doi:10.1063/1.1955127

Cited by 87 publications

(73 citation statements)

References 21 publications

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“…Large deformation of red blood cell ghosts was simulated by (Eggleton and Popel, 1998) using the Immersed Boundary Method (IBM) that reproduced the tank treading behavior observed experimentally in shear flow (Fischer, et al, 1978). (Lac and Barthes-Biesel, 2005) computed elastic capsule deformation in simple shear flow and hyperbolic flow using the Boundary Element method, and showed that steady shapes were obtained only within stable capillary number ranges. Outside of the stable capillary number ranges, the capsules either go through continuous elongation or a membrane buckling instability develops.…”

Section: Introductionmentioning

confidence: 99%

Shear modulation of intercellular contact area between two deformable cells colliding under flow

Jadhav

Chan

Κωνσταντόπουλος

et al. 2007

Journal of Biomechanics

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Shear rate has been shown to critically affect the kinetics and receptor specificity of cell-cell interactions. In this study, the collision process between two modeled cells interacting in a linear shear flow is numerically investigated. The two identical biological or artificial cells are modeled as deformable capsules composed of an elastic membrane. The cell deformation and trajectories are computed using the Immersed Boundary Method for shear rates of 100-400 s −1 . As the two cells collide under hydrodynamic shear, large local cell deformations develop. The effective contact area between the two cells is modulated by the shear rate, and reaches a maximum value at intermediate levels of shear. At relatively low shear rate, the contact area is an enclosed region. As the shear rate increases, dimples form on the membrane surface, and the contact region becomes annular. The nonmonotonic increase of the contact area with the increase of shear rate from computational results implies that there is a maximum effective receptor-ligand binding area for cell adhesion. This finding suggests the existence of possible hydrodynamic mechanism that could be used to interpret the observed maximum leukocyte aggregation in shear flow. The critical shear rate for maximum intercellular contact area is shown to vary with cell properties such as radius and membrane elastic modulus.

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Section: Introductionmentioning

confidence: 99%

Shear modulation of intercellular contact area between two deformable cells colliding under flow

Jadhav

Chan

Κωνσταντόπουλος

et al. 2007

Journal of Biomechanics

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“…In all that follows, the capillary number ε will be based on the inflated capsule radius a, rather than the unstressed capsule radius a 0 , because it is a that is usually measured. As shown by Lac & Barthès-Biesel (27) , when such a pre-inflated capsule is suspended in a simple shear flow, the pre-stress can compensates the negative tensions that appear at low shear rates and membrane buckling can thus be avoided (figure 2.4). Altogether, the global effect of pre-stress is to decrease the capsule deformation for a given shear rate and to increase significantly the elastic tension in the membrane at a given deformation level.…”

Section: Deformation Of a Pre-stressed Capsule In A Simple Shear Flowmentioning

confidence: 98%

“…Correspondingly, a capsule with a 10% pre-inflation and a SK membrane necessitate quite large values of capillary number ε to reach a 60% deformation. Lac & Barthès-Biesel (27) also show that for a preinflated…”

Section: Deformation Of a Pre-stressed Capsule In A Simple Shear Flowmentioning

confidence: 99%

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From Passive Motion of Capsules to Active Motion of Cells

Barthès-Biesel

Yamaguchi

Ishikawa

et al. 2006

JBSE

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In the past three decades, there has been great progress in the mathematical modeling and computational methods for fluid mechanics of suspensions of micron-scale particles. In medical or biological applications, the particles can be very deformable, self propelled or both. Research on mathematical and computational methods for the modelling of suspensions of such particles is currently very active. In this review paper, we introduce some of the concepts that are used to analyse suspensions of either passive deformable particles or active locomotive particles. To simplify matters, we consider simple model particles that are initially spherical. In one case, the particle is a liquid droplet enclosed by a thin deformable membrane (a 'capsule') and is deformed by hydrodynamic forces. In the other case, the particle remains spherical but propels itself by means of a velocity wave on its surface. Athough the basic equations for locomotive spherical cells and for capsules are similar, the resulting suspension characteristics are quite different owing to the different boundary conditions on the surface of the particles.

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“…Different parameters can influence the deformation and orientation dynamics of microcapsules, e.g. capsule shape [1], bending stiffness [2,3,4,5], viscosity ratio of the inner and outer phase [6], membrane constitutive laws [7] and membrane pre-stress [8]. The surrounding membranes sometimes showed shear induced wrinkling instabilities [9].…”

Section: Introductionmentioning

confidence: 99%

Wrinkling, tumbling and swinging microcapsules in simple shear flow

Unverfehrt

Koleva

Rehage

2014

AIP Conference Proceedings

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Abstract-In a series of experiments we examined the orientation behavior of non-spherical polysiloxane microcapsules in simple shear flow. At low shear rates we detected a "tumbling mode", which described the continuous rotation of the particles. In this regime, the orientation angle varied between -90° und +90°. With increasing shear rate a transition to "tank-treading" took place where the membrane rotated around the fluid core. Simultaneously to this membrane movement the deformation and orientation angle of the capsule oscillated, and this regime was denoted as "swinging mode". Between these two different deformation processes we detected an intermittent regime. For a couple of microcapsules we also observed shear-induced membrane wrinkling. Such folding phenomena can obviously be induced by the bending resistance of the surrounding shells or the presence of pre-stressed membranes.

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Deformation of a capsule in simple shear flow: Effect of membrane prestress

Cited by 87 publications

References 21 publications

Shear modulation of intercellular contact area between two deformable cells colliding under flow

Shear modulation of intercellular contact area between two deformable cells colliding under flow

From Passive Motion of Capsules to Active Motion of Cells

Wrinkling, tumbling and swinging microcapsules in simple shear flow

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