A noninvasive method to estimate wall shear rate using ultrasound

1995 ◽  
Vol 21 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Peter J. Brands ◽  
Arnold P.G. Hoeks ◽  
Leo Hofstra ◽  
Robert S. Reneman
2001 ◽  
Vol 194 (2) ◽  
pp. 205-218 ◽  
Author(s):  
Einar E. Eriksson ◽  
Xun Xie ◽  
Joachim Werr ◽  
Peter Thoren ◽  
Lennart Lindbom

In the multistep process of leukocyte extravasation, the mechanisms by which leukocytes establish the initial contact with the endothelium are unclear. In parallel, there is a controversy regarding the role for L-selectin in leukocyte recruitment. Here, using intravital microscopy in the mouse, we investigated leukocyte capture from the free flow directly to the endothelium (primary capture), and capture mediated through interactions with rolling leukocytes (secondary capture) in venules, in cytokine-stimulated arterial vessels, and on atherosclerotic lesions in the aorta. Capture was more prominent in arterial vessels compared with venules. In venules, the incidence of capture increased with increasing vessel diameter and wall shear rate. Secondary capture required a minimum rolling leukocyte flux and contributed by ∼20–50% of total capture in all studied vessel types. In arteries, secondary capture induced formation of clusters and strings of rolling leukocytes. Function inhibition of L-selectin blocked secondary capture and thereby decreased the flux of rolling leukocytes in arterial vessels and in large (>45 μm in diameter), but not small (<45 μm), venules. These findings demonstrate the importance of leukocyte capture from the free flow in vivo. The different impact of blockage of secondary capture in venules of distinct diameter range, rolling flux, and wall shear rate provides explanations for the controversy regarding the role of L-selectin in various situations of leukocyte recruitment. What is more, secondary capture occurs on atherosclerotic lesions, a fact that provides the first evidence for roles of L-selectin in leukocyte accumulation in atherogenesis.


2008 ◽  
Vol 28 (5) ◽  
pp. 847-852 ◽  
Author(s):  
Vladimir Tuka ◽  
Marcela Slavikova ◽  
Zdislava Kasalova ◽  
Jan Malik

1976 ◽  
Vol 74 (1) ◽  
pp. 59-79 ◽  
Author(s):  
T. J. Pedley

The viscous boundary layer on a finite flat plate in a stream which reverses its direction once (at t = 0) is analysed using an improved version of the approximate method described earlier (Pedley 1975). Long before reversal (t < −t1), the flow at a point on the plate will be quasi-steady; long after reversal (t > t2), the flow will again be quasi-steady, but with the leading edge at the other end of the plate. In between (−t1 < t < t2) the flow is governed approximately by the diffusion equation, and we choose a simple solution of that equation which ensures that the displacement thickness of the boundary layer remains constant at t = −t1. The results of the theory, in the form of the wall shear rate at a point as a function of time, are given both for a uniformly decelerating stream, and for a sinusoidally oscillating stream which reverses its direction twice every cycle. The theory is further modified to cover streams which do not reverse, but for which the quasi-steady solution breaks down because the velocity becomes very small. The analysis is also applied to predict the wall shear rate at the entrance to a straight pipe when the core velocity varies with time as in a dog's aorta. The results show positive and negative peak values of shear very much larger than the mean. They suggest that, if wall shear is implicated in the generation of atherosclerosis because it alters the permeability of the wall to large molecules, then an appropriate index of wall shear at a point is more likely to be the r.m.s. value than the mean.


2013 ◽  
Vol 39 (2) ◽  
pp. 241-252 ◽  
Author(s):  
Dae Woo Park ◽  
Grant H. Kruger ◽  
Jonathan M. Rubin ◽  
James Hamilton ◽  
Paul Gottschalk ◽  
...  

Author(s):  
M Walsh ◽  
T McGloughlin ◽  
D W Liepsch ◽  
T O'Brien ◽  
L Morris ◽  
...  

The objective of this investigation was to assess the use of experimentally estimated wall shear stresses to validate numerically predicted results. The most commonly cited haemodynamic factor implicated in the disease initiation and proliferation processes at graft/artery junctions is wall shear stress (WSS). WSS can be determined from the product of the viscosity of the fluid and the wall shear rate. Numerically, the wall shear rate is predicted using velocity values stored in the computational cell near the wall and assuming zero velocity at the wall. Experimentally, the wall shear rate is estimated by applying a curve-fit to near-wall velocity measurements and evaluating the shear rate at a specific distance from the wall. When estimating the wall shear rate from the laser Doppler anemometry (LDA) point velocity measurements, large differences between the experimentally estimated and numerically predicted WSSs were introduced. It was found that the estimated WSS distributions from the experimental results are highly dependent on the curve-fitting method used to calculate the wall shear rate. However, the velocity profiles for both the experimental and numerical investigations show extremely good comparison. It is concluded that numerical models should be validated using unprocessed LDA point velocity measurement and not estimated WSS values.


2007 ◽  
Vol 8 (1) ◽  
pp. 136 ◽  
Author(s):  
E. Chytilova ◽  
J. Malik ◽  
Z. Kasalova ◽  
R. Dolezalova ◽  
J. Housova ◽  
...  

Blood ◽  
2014 ◽  
Vol 124 (21) ◽  
pp. 4054-4054
Author(s):  
Sangeetha Thangaswamy ◽  
Henny H Billett ◽  
Craig A. Branch ◽  
Sandra M. Suzuka ◽  
Seetharama A Acharya

Abstract Sickle cell disease (SCD) is characterized by painful vaso-occlusive crises, which are, at least in part, due to an interaction of the sickle RBC (sRBC) with the vascular endothelium. Abnormal red blood cells (RBCs) impair blood flow and contribute to microcirculatory complications. Oxidative stress and/or oxidants generated via hemoglobin S (HbS) auto-oxidation play a vital role in the vaso-occlusive event in SCD. Antioxidant therapy mediated free radical scavenging and attenuation of oxidative stress may reduce red cell sickling and be beneficial for SCD. Several studies have described an antioxidant effect of flavonoids on the attenuation of free radical mediated biological membrane damage and the consumption of flavonoids reduces the prevalence of vascular diseases. Among flavonoids, quercetin (QUE) pentahydroxy flavone is the major representative. In vitro, QUE is a strong antioxidant with alkoxyl and peroxy radical scavenging ability. Due to the high susceptibility of sickle RBC to oxidation, QUE could be a useful therapy for SCD. Based on this concept, we examined the potential effect of QUE to improve microvascular function in a murine model of SCD. Methods: To confirm the protective effect of quercetin in vivo, we used Berkeley (Berk) sickle transgenic mice which express exclusively human α- and βS-globins with low levels of γ-globin (∼ 3-5%) generated by Paszty et al 1997. C57BL /6J were used as control wild type. We injected a single dose of QUE at different concentrations (50, 100, 200mg/kg body weight) intraperitoneally under normoxic conditions. Three hours after QUE administration, in vivo intra-vital microscopic observation of post-capillary venules in cremaster muscle was performed. The luminal diameters of the venules (∼ 20-40 µm diameter), centerline red blood cell velocity (Vrbc), adherent, emigrated and rolling leukocytes were measured by the technique described by Kaul et al 2004. Wall shear rate was calculated by Lipowsky et al, 1980. Results: QUE treatment restored blood flow, as evidenced by complete disappearance of vaso-occlusion in the postcapillary venules of Berk mice (Figure 1). However, no significant differences in venular diameter were noted with QUE treatment at any of the dose levels tested (50, 100, 200mg/kg) when compared to untreated Berk and wild type mice. But, when compared to untreated Berk mice, a significant increase in the RBC velocity was demonstrated in a dose dependent fashion (treated: 1.74 ±1.3 mm/sec, 3.02± 1.2 mm/sec, 3.4±0.90 mm/sec for 50, 100, 200 mg/kg dosing respectively vs. untreated 1.01± 1.05mm/sec, p<0.05). A dose of 200 mg level completely neutralized the vaso-occlusion. Increases in wall shear rate (650.01± 252.05 s-1 vs. 180.12± 165.02 s-1, p<6.03x10-6) was also observed in QUE treated vs. untreated Berk. This improvement of blood flow in the postcapillary venules correlated well with observed decreases in leukocyte adhesion (Figure 2A) and leukocyte emigration (Figure 2B) in QUE treated Berk mice (for doses 50, 100, and 200mg/kg) when compared to untreated Berk mice. Leukocyte rolling was also decreased for doses 100 and 200mg/kg (p<0.007, p<0.0002 respectively) after treatment with QUE when compared to untreated Berk and wild type. Figure 1: Representative images showing postcapillary venules in the cremaster muscle microcirculation of Berk mice compared to QUE treated and wild type. Black arrows indicate leukocytes and white arrows indicate the blood flow direction. Figure 1:. Representative images showing postcapillary venules in the cremaster muscle microcirculation of Berk mice compared to QUE treated and wild type. Black arrows indicate leukocytes and white arrows indicate the blood flow direction. Figure 2: Leukocyte adhesion (2A) and emigration (2B) in QUE treated Berk mice at 50, 100 and 200mg/kg doses compared to untreated Berk and wild type. Figure 2:. Leukocyte adhesion (2A) and emigration (2B) in QUE treated Berk mice at 50, 100 and 200mg/kg doses compared to untreated Berk and wild type. Figure 3 Figure 3. Conclusion: We observed an improvement in RBC velocity and wall shear rate, as well as a complete attenuation of leukocyte adhesion, rolling and emigration at the highest dose of QUE treated transgenic sickle Berk mice. We suggest that these effects may be due to a decreased sickle RBC interaction with the vascular bed. Our present data provide a strong basis for the therapeutic application of flavonoids in SCD. Further studies are needed to better understand the mechanism of action in vivo for therapeutic effect in SCD. Disclosures Thangaswamy: AMI Life Sciences Private Ltd: Drug supplied Other. Billett:Selexys Pharmaceuticals: Research Funding.


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