Motion of a single red blood cell in plane shear flow

Kholeif, Ismail A.; Weymann, Helmut D.

doi:10.3233/bir-1974-11505

Cited by 18 publications

(9 citation statements)

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“…It is the tank-treading motion (2, 3) of the membrane around the cell content which enables the erythrocyte to take on a stable orientation. The transition threshold of the RBC from a flipping motion to a definite orientation has been demonstrated to depend both on the viscosity ratio' in/in7, and the erythrocyte elongation (4,5). (?7 is the internal viscosity and 770 the suspending medium viscosity.)…”

Section: Introductionmentioning

confidence: 99%

Red blood cell orientation in orbit C = 0

Bitbol¹

1986

Biophysical Journal

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Two modes of behavior of single human red cells in a shear field have been described. It is known that in low viscosity media and at shear rates less than 20 s-1, the cells rotate with a periodically varying angular velocity, in accord with the theory of Jeffery (1922) for oblate spheroids. In media of viscosity greater than approximately 5 mPa s and sufficiently high shear rates, the cells align themselves at a constant angle to the direction of flow with the membrane undergoing tank-tread motion. Also, in low viscosity media, as the shear rate is increased, more and more cells lie in the plane of shear, undergoing spin with their axes of symmetry aligned with the vorticity axis of the shear field in an orbit "C = 0" (Goldsmith and Marlow, 1972). We have explored this latter phenomenon using two experimental methods. First, the erythrocytes were observed in the rheoscope and their diameters measured. Forward light scattering patterns were correlated with the red cell orientation mode. Light flux variations after flow onset or stop were measured, and the characteristic times of erythrocyte orientation and disorientation were assessed. The characteristic time of erythrocyte orientation in Orbit C = 0 is proportional to the inverse of the shear rate. The corresponding coefficient of proportionality depends on the suspending medium viscosity eta o. The disorientation time tau D, after flow has been stopped, is such that the ratio tau D/eta o is independent of the initial applied shear stress. However, tau D is much shorter than one would expect if pure Brownian motion were involved. The proportion of erythrocytes in orbit C = 0 was also measured. It was found that this proportion is a function of both the shear rate and eta o. At low values of eta o, the proportion increases with increasing shear rate and then reaches a plateau. For higher values of eta o (5 to 10 mPa s), the proportion of RBC in orbit C = 0 is a decreasing function of the shear stress. A critical transition between orbit C = 0 and parallel alignment was observed at high values of eta o, when the shear stress is on the order of 1 N/m2. Finally, the effect of altering membrane viscoelastic properties (by heat or diamide treatment) was tested. The proportion of oriented cells is a steep decreasing function of red cell rigidity.

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Section: Introductionmentioning

confidence: 99%

Red blood cell orientation in orbit C = 0

Bitbol¹

1986

Biophysical Journal

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“…In theoretical study, on the other hand, Richardson ( 11) calculated the deformation and orientation of an ellipsoidal microcapsule suspended in flow at low shear rates neglecting the influence of the internal fluid. Kholeif and Weymann (12) proposed a two-dimensional model to explain the rotation and deformation of the red cells assuming a fixed shape resembling the actual cross section of an undeformed red cell. Both of these, however, have obvious shortcomings and are not adequate for our purpose.…”

Section: Introductionmentioning

confidence: 99%

Spin-label studies of erythrocyte deformability. IV. Relation of electron spin resonance spectral change with deformation and orientation of erythrocytes in shear flow

Noji¹,

Kon²,

Taniguchi³

1984

Biophysical Journal

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Electron spin resonance (ESR) spectra of spin-labeled human erythrocytes in shear flow are simulated to derive semi-empirical relations of the ESR spectral change with deformation and orientation of the cells by using a modified theoretical model developed for deformation and orientation of liquid drops. The six observed spectra at different shear stress values were simultaneously simulated by adjusting only two parameters. One parameter can be related to the ratio of the internal to the external viscosity, and the other to the elastic property of the cell membrane. From these results we have derived a semi-empirical relationship between the average deformation index or the orientation angle with a spectral measure, which characterizes the spectral shape change induced by shear stress. Thus, it becomes possible to obtain improved quantitative information on the rheological behavior of red blood cells by using the spin-label ESR method.

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“…In a low-viscosity fluid, erythrocytes flip, tumble, and rotate unsteadily with undergoing minor deformation53. However, the shape of an erythrocyte is greatly changed from biconcave to ellipsoidal in a fluid of high viscosity ( μ ≥ 0.01 Pa∙s)54.…”

Section: Resultsmentioning

confidence: 99%

“…Erythrocytes usually exhibit three distinct motions in shear flows depending on fluid viscosity and applied shear rate5355. The dynamic behaviors include rotating motion with a periodically varying angular velocity; tank-treading motion, which aligns at a constant angle to the flow direction; and spinning motion, with a symmetry axis aligned with the vorticity axis of the shear field.…”

Section: Resultsmentioning

confidence: 99%

Focusing and alignment of erythrocytes in a viscoelastic medium

Byeon

Lee

2017

Sci Rep

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Viscoelastic fluid flow-induced cross-streamline migration has recently received considerable attention because this process provides simple focusing and alignment over a wide range of flow rates. The lateral migration of particles depends on the channel geometry and physicochemical properties of particles. In this study, digital in-line holographic microscopy (DIHM) is employed to investigate the lateral migration of human erythrocytes induced by viscoelastic fluid flow in a rectangular microchannel. DIHM provides 3D spatial distributions of particles and information on particle orientation in the microchannel. The elastic forces generated in the pressure-driven flows of a viscoelastic fluid push suspended particles away from the walls and enforce erythrocytes to have a fixed orientation. Blood cell deformability influences the lateral focusing and fixed orientation in the microchannel. Different from rigid spheres and hardened erythrocytes, deformable normal erythrocytes disperse from the channel center plane, as the flow rate increases. Furthermore, normal erythrocytes have a higher angle of inclination than hardened erythrocytes in the region near the side-walls of the channel. These results may guide the label-free diagnosis of hematological diseases caused by abnormal erythrocyte deformability.

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Motion of a single red blood cell in plane shear flow

Cited by 18 publications

References 0 publications

Red blood cell orientation in orbit C = 0

Red blood cell orientation in orbit C = 0

Spin-label studies of erythrocyte deformability. IV. Relation of electron spin resonance spectral change with deformation and orientation of erythrocytes in shear flow

Focusing and alignment of erythrocytes in a viscoelastic medium

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