Threshold shear stress for the transition between tumbling and tank-treading of red blood cells in shear flow: dependence on the viscosity of the suspending medium

Fischer, Thomas M.; Korzeniewski, Rafal

doi:10.1017/jfm.2013.496

Cited by 44 publications

(41 citation statements)

References 38 publications

(55 reference statements)

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“…Although the inclination and phase angles seem to suggest a TB sequence interrupted by an SW, we cannot strongly say that intermittency occurs here due to buckling. This observation is consistent with the discussion in Fischer & Korzeniewski (2013) in reference to the work by Fedosov et al (2010). In contrast, we clearly see intermittency for the cells with the SSF state with a value of the bending stiffness that is within the experimental range and also close to those used by others in their simulations.…”

Section: Resultssupporting

confidence: 93%

“…For a comparison of the phase diagrams for the nearly spherical stress-free state and the discocyte stress-free state, we refer to our earlier work by Cordasco et al (2014), where we showed that the TB-TT transition occurs at lower Ca for the former case than the latter. There, we also presented a comparison of our phase diagram with experimental data by Abkarian et al (2007), Dupire et al (2012) and Fischer & Korzeniewski (2013). Peng et al (2014) as well as Tsubota et al (2013) also found that the TB-TT border shifts to lower Ca for the nearly spherical stress-free state.…”

Section: Resultssupporting

confidence: 59%

“…Indeed, the very recent experimental work by Dupire et al (2012) shows that RBCs maintain their stable biconcave shape near the transition, and concludes that the biconcave discocyte is not the stress-free state. While the exact stress-free shape still remains controversial (see, e.g., Fischer & Korzeniewski 2013), our results show that the intermittent and synchronized motion can occur only under certain stress-free states. As mentioned earlier, the specific value of the reduced volume considered here is 0.997, which is very close to that of a sphere.…”

Section: Resultsmentioning

confidence: 60%

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Intermittency and synchronized motion of red blood cell dynamics in shear flow

Cordasco

Bagchi

2014

J. Fluid Mech.

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We present the first full-scale computational evidence of intermittent and synchronized dynamics of red blood cells in shear flow. These dynamics are characterized by the coexistence of a tumbling motion in which the cell behaves like a rigid body and a tank-treading motion in which the cell behaves like a liquid drop. In the intermittent dynamics, we observe sequences of tumbling interrupted by swinging, as well as sequences of swinging interrupted by tumbling. In the synchronized dynamics, the tumbling and membrane rotation are observed to occur simultaneously with integer ratios of the rotational frequencies. These dynamics are shown to be dependent on the stress-free state of the cytoskeleton, and are explained based on the cell membrane energy landscape.

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Section: Resultssupporting

confidence: 93%

Section: Resultssupporting

confidence: 59%

Section: Resultsmentioning

confidence: 60%

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Intermittency and synchronized motion of red blood cell dynamics in shear flow

Cordasco

Bagchi

2014

J. Fluid Mech.

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“…Increasing the membrane viscosity may increase the effective viscosity ratio, leading to higher critical shear rate (see e.g. Fischer & Korzeniewski 2013). This parameter will also influence the detailed response of the cell.…”

Section: Responses In Shear Flowmentioning

confidence: 99%

Erythrocyte responses in low-shear-rate flows: effects of non-biconcave stress-free state in the cytoskeleton

2014

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Inspired by the recent experiment on erythrocytes (red blood cells, RBCs) in weak shear flows by Dupire et al. conduct a numerical investigation to study the dynamics of RBCs in low-shear-rate flows by applying a multiscale fluid-structure interaction model. By employing a spheroidal stress-free state in the cytoskeleton, we are able to numerically predict an important feature, namely that the cell maintains its biconcave shape during tank-treading motions. Furthermore, we numerically confirm the hypothesis that, as the stress-free state approaches a sphere, the threshold shear rates corresponding to the establishment of tank treading decrease. By comparing with the experimental measurements, our study suggests that the stress-free state of RBCs is a spheroid that is close to a sphere, rather than the biconcave shape applied in existing models (the implication is that the RBC skeleton is pre-stressed in its natural biconcave state). It also suggests that the response of RBCs in low-shear-rate flows may provide a measure to quantitatively determine the distribution of shear stress in the RBC cytoskeleton in the natural state.

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“…Viscosity of the hemoglobin solution is about 5 times that of the plasma, leading to tumbling (TB) of RBCs. In vitro, TT motion of RBCs is observed when the suspending fluid has a high enough viscosity η 0 [43]. Furthermore, confinement favors TT [52] even with lower η 0 .…”

mentioning

confidence: 99%

Prediction of Anomalous Blood Viscosity in Confined Shear Flow

et al. 2014

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Red blood cells play a major role in body metabolism by supplying oxygen from the microvasculature to different organs and tissues. Understanding blood flow properties in microcirculation is an essential step towards elucidating fundamental and practical issues. Numerical simulations of a blood model under a confined linear shear flow reveal that confinement markedly modifies the properties of blood flow. A nontrivial spatiotemporal organization of blood elements is shown to trigger hitherto unrevealed flow properties regarding the viscosity η, namely ample oscillations of its normalized value ½η ¼ ðη − η 0 Þ=ðη 0 ϕÞ as a function of hematocrit ϕ (η 0 ¼ solvent viscosity). A scaling law for the viscosity as a function of hematocrit and confinement is proposed. This finding can contribute to the conception of new strategies to efficiently detect blood disorders, via in vitro diagnosis based on confined blood rheology. It also constitutes a contribution for a fundamental understanding of rheology of confined complex fluids. Introduction.-Blood flow in microcirculation is essential for delivery of nutrients and removal of metabolic waste products to or from tissues. These functions are ensured by proper regulation of blood flow down to the capillary level. One of the main factors controlling capillary circulation is microvascular resistance to blood flow. This effect, in spite of extensive investigation, is still to be fully elucidated, and some fundamental issues remain open. Blood is to good approximation a suspension of red blood cells (RBCs). Blood rheology is dictated by dynamics of RBCs and their interaction with blood vessel walls. A significant research effort has been devoted so far to macroscopic rheology [1,2]. Most of the research on rheology in confined geometries has focused on the famous Fahraeus-Lindqvist (FL) effect [3][4][5] (see recent review [6]), where confinement has been shown to strongly affect the rheology, with a decrease in apparent viscosity as the diameter of a vessel decreases. These advances have not exhausted yet the intricate behavior inherent to rheology of confined blood, as reported in this Letter.A property that is commonly of interest for nonconfined suspensions is the viscosity as a function of the volume fraction ϕ, ηðϕÞ. In the dilute regime, i.e., when hydrodynamic interactions between suspended entities can be neglected, η takes the generic form η ¼ η 0 ð1 þ a 1 ϕÞ, where η 0 is the viscosity of the suspending fluid and a 1 is a quantity (the so-called intrinsic viscosity), that depends, in general, on the properties of the suspension. For example, for rigid particles, a 1 is just a universal number and is equal to 5=2; this is the famous Einstein result [7,8]. a 1 was calculated by Taylor [9] for emulsions, and extended to vesicle suspensions (a blood model) quite recently [10]. When the volume fraction increases, hydrodynamic interactions among suspended

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Threshold shear stress for the transition between tumbling and tank-treading of red blood cells in shear flow: dependence on the viscosity of the suspending medium

Cited by 44 publications

References 38 publications

Intermittency and synchronized motion of red blood cell dynamics in shear flow

Intermittency and synchronized motion of red blood cell dynamics in shear flow

Erythrocyte responses in low-shear-rate flows: effects of non-biconcave stress-free state in the cytoskeleton

Prediction of Anomalous Blood Viscosity in Confined Shear Flow

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