Micro-Macro Link in Rheology of Erythrocyte and Vesicle Suspensions

Vitkova, Victoria; Mader, Maud-Alix; Polack, Benoı̂t; Misbah, Chaouqi; Podgorski, Thomas

doi:10.1529/biophysj.108.138826

Cited by 78 publications

(75 citation statements)

References 18 publications

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“…While a decrease of η I with increasing λ was found in ref. [12], in good agreement with the theoretical prediction (1), in contrast an increase of η I was found in ref. [13].…”

supporting

confidence: 92%

Dynamics and rheology of vesicle suspensions in wall-bounded shear flow

Lamura¹,

Gompper²

2013

EPL

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-The dynamics and rheology of suspensions of fluid vesicles or red blood cells is investigated by a combination of molecular dynamics and mesoscale hydrodynamics simulations in two dimensions. The vesicle suspension is confined between two no-slip walls, which are driven externally to generate a shear flow with shear rateγ. The flow behavior is studied as a function ofγ, the volume fraction of vesicles, and the viscosity contrast between inside and outside fluids. Results are obtained for the encounter and interactions of two vesicles, the intrinsic viscosity of the suspension, and the cell-free layer near the walls.

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“…While a decrease of η I with increasing λ was found in ref. [12], in good agreement with the theoretical prediction (1), in contrast an increase of η I was found in ref. [13].…”

supporting

confidence: 92%

Dynamics and rheology of vesicle suspensions in wall-bounded shear flow

Lamura¹,

Gompper²

2013

EPL

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“…62 Besides the well known vasodilating effect of ATP, 63 our experiments suggest that increased cardiac plasma ATP levels also enhance blood flow efficiency due to the demonstrated ATP dependent regulation of shear elasticity. 36,64 Because different types of red blood cell motion such as tank-treading, tumbling and swinging critically depend on the elastic properties of the composed cell's membrane, regulation by ATP allows to regulate cell function as well.…”

Section: Resultsmentioning

confidence: 99%

Hydrodynamic deformation reveals two coupled modes/time scales of red blood cell relaxation

et al. 2012

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We study the mechanical relaxation behavior of human red blood cells by observing the time evolution of shape change of cells flowing through microchannels with abrupt constrictions. We observe two types of relaxation processes. In the first fast process (s 1 $ 200 ms) the initially parachute shaped cells relax into cup-shaped cells (stomatocytes). These cells relax and reorient in a second relaxation process with a response time of s 1/2 $ 10 s into the equilibrium discoid shapes. The values for the relaxation times of single red blood cells in the population scatter significantly within the cell population between 0.11 s < s 1 < 0.52 s and 9 s < s 1/2 < 49 s, respectively. However, when plotting s 1/2 against s 1 , we find a linear relationship between the two timescales and are able to relate both to the elastic properties of the spectrin cytoskeleton underlying the red cell's plasma membrane. Adenosine Triphosphate (ATP) enhances dissociation of spectrin filaments resulting in a reduced shear modulus. We modify the cytoskeleton connectivity by depletion and repletion of ATP and study the effect on relaxation. Both the linear relationship of timescales as well as the ATP dependence can be understood by theoretical models.

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“…Only recently there was a rheological study presented intending to understand bulk properties from the single object properties and thus bridging the gap between the elastic properties of the objects and the viscoelastic properties of the suspension of vesicles as well as RBC (cf. [28][29][30]81,82]). …”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows

Franke

Hoppe

Linsenmann

et al. 2011

Comput. Visual Sci.

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We study the mathematical modeling and numerical simulation of the motion of red blood cells (RBC) and vesicles subject to an external incompressible flow in a microchannel. RBC and vesicles are viscoelastic bodies consisting of a deformable elastic membrane enclosing an incompressible fluid. We provide an extension of the finite element immersed boundary method by Boffi and Gastaldi (Comput Struct 81:491-501, 2003), Boffi et al. (Math Mod Meth Appl Sci 17:1479-1505, 2007), Boffi et al. (Comput Struct 85:775-783, 2007) based on a model for the membrane that additionally accounts for bending energy and also consider inflow/outflow conditions for the external fluid flow. The stability analysis requires both the approximation of the membrane by cubic splines (instead of linear splines without bending energy) and an upper bound on the inflow velocity.on the time step size is also more restrictive. We perform numerical simulations for various scenarios including the tank treading motion of vesicles in microchannels, the behavior of 'healthy' and 'sick' RBC which differ by their stiffness, and the motion of RBC through thin capillaries. The simulation results are in very good agreement with experimentally available data.

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Micro-Macro Link in Rheology of Erythrocyte and Vesicle Suspensions

Cited by 78 publications

References 18 publications

Dynamics and rheology of vesicle suspensions in wall-bounded shear flow

Dynamics and rheology of vesicle suspensions in wall-bounded shear flow

Hydrodynamic deformation reveals two coupled modes/time scales of red blood cell relaxation

Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows

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