Large deformation of red blood cell ghosts in a simple shear flow

Eggleton, Charles D.; Popel, Aleksander S.

doi:10.1063/1.869703

Cited by 330 publications

(342 citation statements)

References 36 publications

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“…Larger deformations from sphericity can be explored by numerical simulations. A body of work exists on capsule dynamics, mostly considering elastic membranes with no bending resistance 40,41,42 . To our knowledge there are only a couple of numerical studies that include bending resistance 43,44 .…”

Section: Discussionmentioning

confidence: 99%

Dynamics of a viscous vesicle in linear flows

2007

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An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained as a regular perturbation expansion in the excess area. The analysis takes into account the membrane fluidity, incompressibility and resistance to bending. The constraint for a fixed total area leads to a non-linear shape evolution equation at leading order. As a result two regimes of vesicle behavior, tank-treading and tumbling, are predicted depending on the viscosity contrast between interior and exterior fluid. Below a critical viscosity contrast, which depends on the excess area, the vesicle deforms into a tank-treading ellipsoid, whose orientation angle with respect to the flow direction is independent of the membrane bending rigidity. In the tumbling regime, the vesicle exhibits periodic shape deformations with a frequency that increases with the viscosity contrast. Non-Newtonian rheology such as normal stresses is predicted for a dilute suspension of vesicles. The theory is in good agreement with published experimental data for vesicle behavior in simple shear flow.

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Section: Discussionmentioning

confidence: 99%

Dynamics of a viscous vesicle in linear flows

2007

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“…The cells are modeled as three-dimensional elastic capsules containing a Newtonian liquid, and the fluid flow is governed by the continuity and Stokes momentum balance equations (Eggleton and Popel, 1998;Jadhav, et al, 2005):…”

Section: Problem Statementmentioning

confidence: 99%

“…Deformation was found to increase with an increase in the capillary number. 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.…”

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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“…The interaction between the fluid and immersed boundary can be modeled by a well chosen discretized approximation to the Dirac delta function, which is called a discrete delta function. This approach has been applied successfully to problems of blood flow pattern in the heart [20][21][22][23][24], wave propagation in the cochlea [3,12], flow in collapsible tubes [27], aquatic animal locomotion [7][8][9], platelet aggregation during blood clotting [8,11], the flow of suspensions [10,30], flow and transport in a renal arteriole [1], and the cell and tissue deformation under shear flow [4,6,29].…”

Section: Introductionmentioning

confidence: 99%

An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity

Lai

Peskin

2000

Journal of Computational Physics

767

508

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A formally second-order accurate immersed boundary method is presented and tested in this paper. We apply this new scheme to simulate the flow past a circular cylinder and study the effect of numerical viscosity on the accuracy of the computation by comparing the numerical results with those of a first-order method. The numerical evidence shows that the new scheme has less numerical viscosity and is therefore a better choice for the simulation of high Reynolds number flows with immersed boundaries.

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Large deformation of red blood cell ghosts in a simple shear flow

Cited by 330 publications

References 36 publications

Dynamics of a viscous vesicle in linear flows

Dynamics of a viscous vesicle in linear flows

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

An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity

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