Correlation Among Shear Rate Measures in Vascular Flows

1987 ◽  
Vol 109 (1) ◽  
pp. 25-26 ◽  
Author(s):  
Morton H. Friedman ◽  
Owen J. Deters

A variety of shear rate measures have been calculated from hemodynamic data obtained by laser Doppler anemometry in flow-through casts of human aortic bifurcations. Included are measures sensitive to the mean and amplitude of the shear rate, its maximum rate of change, the duration of stasis and flow reversal near the wall, and the unidirectionality of the flow. Many of these measures are highly correlated with one another. This suggests that that it will be difficult to identify from in vivo measurements those aspects of the flow field to which the vessel wall is most sensitive. It may be possible to separate the effects of purely temporal factors (e.g., the duration of flow reversal) from those related to wall shear stress.

Biology ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 901
Author(s):  
Natsuhiko Saito ◽  
Toshihiro Tanaka ◽  
Kiyoyuki Minamiguchi ◽  
Ryosuke Taiji ◽  
Hideyuki Nishiofuku ◽  
...  

Computed tomography (CT) is the standard method to evaluate Lipiodol deposition after transarterial embolization (TAE) for a long period. However, iodine but not Lipiodol can be observed on CT. A minimally invasive other method to detect Lipiodol has been needed to evaluate accurate evaluation after procedure. The purpose of this study was to evaluate the efficacy of using the rate of change in sound velocity caused by ultrasonic heating to reflect Lipiodol accumulation after TAE in a rat liver tumor model. We analyzed the association of this developed technique with CT images and histological findings. Eight rats bearing N1S1 cells were prepared. After confirmation of tumor development in a rat liver, Lipiodol was injected via the hepatic artery. Seven days after TAE, CT scan and sound velocity changes caused by ultrasonic heating were measured, and then the rats were sacrificed. An ultrasonic pulse-echo method was used to measure the sound velocity. The temperature coefficient of the sound velocity in each treated tumor was evaluated and compared with the mean CT value and the histological Lipiodol accumulation ratio. Pearson’s correlation coefficients were calculated to assess the correlation between the measured values. The correlation coefficient (r) of the mean CT value and histological Lipiodol accumulation ratio was 0.835 (p = 0.010), which was considered statistically significant. Also, those of the temperature coefficient of the sound velocity and the histological Lipiodol accumulation ratio were statistically significant (r = 0.804; p = 0.016). To our knowledge, this is the first study that reported the efficacy of ultrasonic heating to detect Lipiodol accumulation in rat liver tumors after TAE. Our results suggest that the rate of change in sound velocity caused by ultrasonic heating can be used to evaluate Lipiodol accumulation in liver tumors after TAE, and thus could represent an alternative to CT in this application. This new innovative technique is easy to treat and less invasive in terms of avoiding radiation compared with CT.


1978 ◽  
Vol 192 (1) ◽  
pp. 213-223 ◽  
Author(s):  
A. D. Gosman ◽  
A. Melling ◽  
J. H. Whitelaw ◽  
P. Watkins

A study was made of axisymmetric, laminar and turbulent flow in a motored reciprocating engine with flow through a cylinder head port. Measurements were obtained by laser-Doppler anemometry and predictions for the laminar case were generated by finite-difference means. Agreement between calculated and measured results is good for the main features of the flow field, but significant small scale differences exist, due partly to uncertainties in the inlet velocity distribution. The measurements show, for example, that the mean velocity field is influenced more strongly by the engine geometry than by the speed. In general, the results confirm that the calculation method can be used to represent the flow characteristics of motored reciprocating engines without compression and suggest that extensions to include compression and combustion are within reach.


1982 ◽  
Vol 215 (1199) ◽  
pp. 135-145 ◽  

(i) Citrated platelet-rich plasma freshly prepared from golden hamsters was mixed with fluorescein isothiocyanate (FITC) which made the platelets fluorescent. These platelets were injected intravenously into anaesthetized hamsters with exteriorized cheek pouch preparations superfused at 37 °C with Krebs-bicarbonate solution. The exposed microcirculation was observed microscopically by bright field or fluores­cent illumination. The flowing and sticking of fluorescent platelets was recorded on video tape for quantitative analysis. (ii) In four experiments 22–36%, mean 28%, of fluorescent platelets were circulating 2-3 h after their injection. In seven experiments the fluorescent platelets accounted for 0.6–3.3 %, mean 1.7 %, of circulating platelets. (iii) In venules 20–60 μm in diameter small proportions, mean 5.4%, of circulating fluorescent platelets stopped moving by sticking to the vessel walls. About 80 % of these platelets stuck for up to 1 s, a further 10-15% for up to 5 s, and only about 2% for longer than 2 min. There was an inverse relation between size of venule and proportion of platelets sticking in them. (iv) There was a direct relation between the mean velocities at which platelets flowed through the venules and the sizes of the venules. In the smaller venules the velocity distribution of the platelets had a clear maximum which was not as evident in larger venules. (v) In a few observations on arterioles, flowing platelets could not be seen, and arrested platelets only in a dilatation and at a capillary branch. (vi) Ethylenediamine tetraacetate in the superfusing fluid decreased platelet sticking in venules but did not abolish it. (vii) Adenosine diphosphate in the superfusing fluid caused the appear­ance of platelet aggregates in venules and of sticking platelets in arterioles during progressive diminution in blood flow through both types of vessel. (viii) The observations make it improbable that the release of platelet constituents affects normal venules or arterioles except, possibly, where haemodynamic conditions are affected by wall irregularities such as dilations or branching.


1985 ◽  
Vol 107 (1) ◽  
pp. 24-28 ◽  
Author(s):  
F. F. Mark ◽  
C. B. Bargeron ◽  
O. J. Deters ◽  
M. H. Friedman

This experiment was conducted to determine if the pulsatile flow through the proximal portion of the left coronary artery system in man exhibits quasi-steady characteristics. Steady and pulsatile flows were passed through an idealized model whose dimensions were based on a vascular cast. The mean Reynolds number was 180 and the unsteadiness number was 2.7. Velocity profiles were measured by laser Doppler anemometry at several locations along diameters in the parent and both daughter channels in the neighborhood of the “left main” bifurcation. Analysis of the results along one diameter in the “left main” channel shows that unsteady flow in the larger coronary arteries may not be simulated by a series of steady flow experiments.


Circulation ◽  
2008 ◽  
Vol 118 (suppl_18) ◽  
Author(s):  
Robert W Biederman ◽  
Ronald B Williams ◽  
Saundra B Grant ◽  
Geetha Rayarao ◽  
June A Yamrozik ◽  
...  

Morphologic characteristics of plaque composition have been proposed to explain the apparent paradox of improved clinical events despite no or minimal reduction in % stenosis with statins. CMR can distinguish underlying features that determine plaque ‘vulnerability’. We hypothesize that in statin-naive pts with high-grade carotid artery stenosis, there will be a high degree of correlation in the relationship between the ‘unstable’ lipid pool and ‘stable’ fibrous plaque by 3D CMR, yet may be independent of 2D %stenosis. Representing 530-two mm contiguous CMR (1.5T GE) in vivo slices of advanced (mean 61±24% stenosis) carotid disease, 26 complete bilateral human (age: 66±14yrs) plaques were analyzed for 3D volumetric extent of vascular wall: lipid pool, fibrous cap, matrix and minima/maxima of each. All were related to fasting lipid levels relative to %stenosis via QPlaque (Medis, The Netherlands). Plaque morphology determined by T1, T2/PD CMR. In all, 25/26 in vivo plaques were imaged. Mean resolution: 1x1x2mm. The mg/dL range of LDL-C was 63–186, HDL-C: 28–59 and TG: 81–213. Lipid pool represented 15±4% while fibrous plaque represented 5±15% of total vessel wall. Total Cholesterol (Chol T ) and LDL-C were inversely related to minimum vessel wall thickness (r=−0.5 and −0.6, respectively, p<0.05, for both) while only Chol T was related to fibrous cap (r=0.6, p<0.01). The Chol T /LDL-C ratio was highly related to minimum fibrous plaque thickness (r=0.8, p<0.001). The 3D lipid pool was the only fraction highly correlated (>0.6) with triglycerides (r=0.6, p<0.01). A linear regression relating fibrous cap: vessel wall ratio to non-HDL cholesterol and Chol T was highly correlated (r=0.6, 0.7, respectively, p<0.01 for both) but was independent of in vivo % stenosis (r=0.1). Relating %stenosis to any lipid fraction or ratio showed no relationship. Percent stenosis provides relatively little information about vulnerability of de novo , statin-naive carotid plaques. As most current imaging studies concentrate on plaque stenosis, a more appropriate focus on plaque composition provides a more robust quantifiable volumetric metric and may be more indicative of the underlying pathology by high-resolution 3D CMR. This research has received full or partial funding support from the American Heart Association, AHA National Center.


Blood ◽  
1986 ◽  
Vol 67 (5) ◽  
pp. 1474-1481
Author(s):  
PA Aarts ◽  
JD Banga ◽  
HC van Houwelingen ◽  
RM Heethaar ◽  
JJ Sixma

Platelet transport towards the vessel wall is influenced by the hematocrit, red blood cell (RBC) size, and shape. Recent in vitro studies have indicated that RBC deformability may also influence platelet transport. The observation that isoxsuprine, a known vasodilating drug, caused increased RBC deformability in vitro and decreased platelet transport in vitro prompted us to study the effects of this drug in vivo. The study was performed in a double-blind cross- over study of isoxsuprine v placebo in ten patients with peripheral arterial insufficiency. RBC deformability was estimated from viscosity measurements using the blood viscosity equation of Dintenfass and expressed as T value. Platelet transport was studied in an annular perfusion chamber according to Baumgartner. Human umbilical arteries were used as blood vessels. Perfusion studies were performed with whole blood or with RBCs of the patients mixed with normal platelets and plasma at a standardized hematocrit and platelet count. An increase in RBC deformability concomitant with a decrease in platelet adherence was observed in patients on isoxsuprine with a drop in T value of approximately 0.06 (from 0.91 toward 0.86), and a concomitant decrease in platelet adherence of 20% to 40%. These observations differed significantly from the results in the placebo group and showed a significant group-period interaction at the cross-over of medication (analysis of variance). The effects on platelet adherence were observed at high vessel wall shear rate (1,800 s-1) with perfusates consisting of patients' RBCs and donor plasma and platelets at standardized hematocrit and platelet count. No differences were observed under these conditions at a shear rate of 300 s-1. When whole blood of patients was used, nonsignificant effect was observed at shear rates of 300 s-1 and 1,800 s-1. This was probably caused by the added noise due to variations in hematocrit and platelet number. These data demonstrate that isoxsuprine increases RBC deformability, and they suggest the possibility of decreasing platelet-vessel wall interaction in vivo by manipulation of RBC deformability.


2000 ◽  
Vol 123 (2) ◽  
pp. 129-133 ◽  
Author(s):  
James E. Moore, ◽  
Erlend S. Weydahl ◽  
Aland Santamarina

The flow through a curved tube model of a coronary artery was investigated computationally to determine the importance of time-varying curvature on flow patterns that have been associated with the development of atherosclerosis. The entry to the tube was fixed while the radius of curvature varied sinusoidally in time at a frequency of 1 or 5 Hz. Angiographic data from other studies suggest that the radius of curvature waveform contains significant spectral content up to 6 Hz. The overall flow patterns were similar to those observed in stationary curved tubes; velocity profile skewed toward the outer wall, secondary flow patterns, etc. The effects of time-varying curvature on the changes in wall shear rate were expressed by normalizing the wall shear rate amplitude with the shear rate calculated at the static mean radius of curvature. It was found that the wall shear rate varied as much as 94 percent of the mean wall shear rate at the mid wall of curvature for a mean curvature ratio of 0.08 and a 50 percent change in radius of curvature. The effects of 5 Hz deformation were not well predicted by a quasi-static approach. The maximum values of the normalized inner wall shear rate amplitude were found to scale well with a dimensionless parameter equivalent to the product of the mean curvature ratio (δ), normalized change in radius of curvature (ε), and a Womersley parameter (α). This parameter was less successful at predicting the amplitudes elsewhere in the tube, thus additional studies are necessary. The mean wall shear rate was well predicted with a static geometry. These results indicate that dynamic curvature plays an important role in determining the inner wall shear rates in coronary arteries that are subjected to deformation levels of εδα>0.05. The effects were not always predictable with a quasi-static approach. These results provide guidelines for constructing more realistic models of coronary artery flow for atherogenesis research.


1992 ◽  
Vol 262 (4) ◽  
pp. H1217-H1223 ◽  
Author(s):  
B. Woldhuis ◽  
G. J. Tangelder ◽  
D. W. Slaaf ◽  
R. S. Reneman

Platelet distribution was investigated in 21 venules (V) and 10 arterioles (A) of the rabbit mesentery (vessel diam 15-33 microns). Circulating platelets were labeled in vivo with the dye acridine red and observed with fluorescence video microscopy. Only platelets flowing in a thin (5-7 microns) optical section located about the median plane of the vessel were used. The relative position of each platelet, i.e., the distance of its centroid to the left vessel wall divided by the local vessel diameter, was determined. In addition, in 10 venules leukocyte margination was inhibited by intravenous injection of dextran sulfate (500,000 mol wt; 30 mg/kg body wt). The number of platelets per unit volume (i.e., platelet density) relative to the mean density was significantly higher in the vessel center of V (1.04) than of A (0.55; P less than 0.005). In contrast, near the wall this density was significantly higher in A compared with V. Mean values were as follows: at radial position (R) = 0.9-1.0, 0.30 in A and 0.11 in V (P greater than 0.05); at R = 0.8-0.9, 1.63 in A and 0.84 in V (P less than 0.002); at R = 0.7-0.8, 1.60 in A and 1.36 in V (P greater than 0.05); at R = 0.6-0.7, 1.16 in A and 1.60 in V (P less than 0.02); and at R = 0.5-0.6, 0.92 in A and 1.36 in V (P less than 0.02). These differences in platelet distribution between arterioles and venules are not caused by the presence of leukocyte margination in venules.


1988 ◽  
Vol 17 (4) ◽  
pp. 181-187 ◽  
Author(s):  
Daniel D Hanle ◽  
Earl C Harrison ◽  
Ajit P Yoganathan ◽  
William H Corcoran

The flow downstream from the St Jude valve prosthesis is studied in vitro in both steady and pulsatile flow. Conditions for the pulsatile flow studies approximate the in vivo resting state. Laser-Doppler anemometry (LDA) is used to measure instantaneous point velocities at numerous locations pre-selected to conform to a systematic, flow-mapping measurement methodology. Overall, the results for the St Jude valve indicate a relatively undisturbed forward flow through the prosthesis. The acceleration ratios, defined as the maximum mean axial velocity for the St Jude valve divided by that for no valve obstructing the flow, are small, being 1.2 and 1.4 for steady and pulsatile flow, respectively. Both the secondary flow structure and the flow disturbance produced by this valve are minimal. Maximum mean velocities in the radial and azimuthal directions are only about 5–10 per cent of that in the axial direction. There is, however, notable evidence of flow wakes generated by the valve's opened leaflets. Velocity defects caused by these wakes are found to be as much as 50 per cent. The bulk flow through this valve is in this sense quite unlike that reported by others for the natural aortic valve studied in vitro.


2007 ◽  
Vol 129 (6) ◽  
pp. 863-872 ◽  
Author(s):  
Jaehoon Seong ◽  
Ajay K. Wakhloo ◽  
Baruch B. Lieber

Endovascular coiling is an acceptable treatment of intracranial aneurysms, yet long term follow-ups suggest that endovascular coiling fails to achieve complete aneurysm occlusions particularly in wide-neck and giant aneurysms. Placing of a stentlike device across the aneurysm neck may be sufficient to occlude the aneurysm by promoting intra-aneurysmal thrombosis; however, conclusive evidence of its efficacy is still lacking. In this study, we investigate in vitro the efficacy of custom designed flow divertors that will be subsequently implanted in a large cohort of animals. The aim of this study is to provide a detailed database against which in vivo results can be analyzed. Six custom designed flow divertors were fabricated and tested in vitro. The design matrix included three different porosities (75%, 70%, and 65%). For each porosity, there were two divertors with one having a nominal pore density double than that of the other. To quantify efficacy, the divertors were implanted in a compliant elastomeric model of an elastase-induced aneurysm model in rabbit and intra-aneurysmal flow changes were evaluated by particle image velocimetry (PIV). PIV results indicate a marked reduction in intra-aneurysmal flow activity after divertor implantation in the innominate artery across the aneurysm neck. The mean hydrodynamic circulation after divertor implantation was reduced to 14% or less of the mean circulation in the control and the mean intra-aneurysmal kinetic energy was reduced to 29% or less of its value in the control. The intra-aneurysmal wall shear rate in this model is low and implantation of the flow divertor did not change the wall shear rate magnitude appreciably. This in vitro experiment evaluates the characteristics of local flow phenomena such as hydrodynamic circulation, kinetic energy, wall shear rate, perforator flow, and changes of these parameters as a result of implantation of stentlike flow divertors in an elastomeric replica of elastase-induced saccular aneurysm model in rabbit. These initial findings offer a database for evaluation of in vivo implantations of such devices in the animal model and help in further development of cerebral aneurysm bypass devices.


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