Analysis of Inverse Method Applied on Sandwich Probes

2012 ◽  
Vol 135 (1) ◽  
Author(s):  
Emna Berrich ◽  
Fethi Aloui ◽  
Jack Legrand

Parallel plate disks (PPD) are often used for analyzing the effect of small amplitude oscillations with different frequencies. These devices allow the imposing of a well-known flow kinematics. Mass transfer problems and, particularly, convection-diffusion problems relating wall shear rate to mass transfer can thus be studied. Mass transfer signals can be determined from a sandwich electrodiffusion (ED) sensor frequency response. The experimental database constructed was used to check the inverse method. Indeed, the inverse method (Rehimi et al., 2006, “Inverse Method for Electrochemical Diagnostics of Flows,” Int. J. Heat Mass Transfer, 49, pp. 1242–1254) applied on a sandwich ED sensor was analyzed by comparing its instantaneous numerical wall shear rates to the known local and instantaneous experimental wall shear rate. Oscillatory flows amplitudes, frequencies effects, and flow direction effect have been studied in order to test the robustness of the inverse method to such effects. The little difference between experimental and numerical results is probably caused by the sensitivity of the sandwich sensor to such flow directions or to the neglecting of the insulating gap effect on the inverse method.

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.


Author(s):  
Emna Berrich ◽  
Fethi Aloui ◽  
Jack Legrand

The inverse method, based on a numerical sequential estimation, has been applied for the determination of the wall shear stress of a liquid single phase flow in a sliding rheometer using multi-segment probe. This method requires the inversion of the convection diffusion equation in order to apply it to instantaneous mass transfer measurements. Polarography technique, known as the limiting diffusion current method, has been used. This requires the use of Electro-Diffusion ED probe which allows the determination of the local mass transfer rate for known flow kinematics. In addition, two-segment platinum probe was mounted flush to the inert surface of the upper disk of the sliding rheometer. Hydrodynamic oscillations have been imposed to the torsional flow (type sinusoidal), in order to study the frequency response of the sandwich probe for a fixed polarization voltage. Possible error sources which are likely to affect the interpretation of the results e.g. the directional angle effect, the inertial effect, the diffusion effect and the frequencies of oscillations effect have been studied in order to test the robustness of the inverse method within the presence of such impacts. Furthermore, to demonstrate the possible effect of non-negligible inertia and diffusion, we refer to ED results for both modified Reynolds number defined by [1] and Peclet number ranges as well as for different directional angles. An algorithm has been developed for the numerically filtering of the mass transfer signals, and therefore the wall shear stress signals. It permits to eliminate any possible noise effect due to the imposed vibrations to the torsional flow. The analysis shown that the inverse method is in a good agreement with the ED experimental results for the different cases of study, i.e. for different dimensionless Reynolds numbers, for high and low oscillation frequencies, as well as for different directional angles. The little difference is probably caused by the sensitivity of the double probe to such directional angles or to the neglecting of the insulating gap effect on the inverse method solution as a first step of the study of the inverse method for double probes signals.


2018 ◽  
Vol 5 (8) ◽  
pp. 180601 ◽  
Author(s):  
Toshihiro Omori ◽  
Katja Winter ◽  
Kyosuke Shinohara ◽  
Hiroshi Hamada ◽  
Takuji Ishikawa

Left–right (L-R) asymmetry in the body plan is determined by nodal flow in vertebrate embryos. Shinohara et al. (Shinohara K et al. 2012 Nat. Commun. 3 , 622 ( doi:10.1038/ncomms1624 )) used Dpcd and Rfx3 mutant mouse embryos and showed that only a few cilia were sufficient to achieve L-R asymmetry. However, the mechanism underlying the breaking of symmetry by such weak ciliary flow is unclear. Flow-mediated signals associated with the L-R asymmetric organogenesis have not been clarified, and two different hypotheses—vesicle transport and mechanosensing—are now debated in the research field of developmental biology. In this study, we developed a computational model of the node system reported by Shinohara et al. and examined the feasibilities of the two hypotheses with a small number of cilia. With the small number of rotating cilia, flow was induced locally and global strong flow was not observed in the node. Particles were then effectively transported only when they were close to the cilia, and particle transport was strongly dependent on the ciliary positions. Although the maximum wall shear rate was also influenced by ciliary position, the mean wall shear rate at the perinodal wall increased monotonically with the number of cilia. We also investigated the membrane tension of immotile cilia, which is relevant to the regulation of mechanotransduction. The results indicated that tension of about 0.1 μN m −1 was exerted at the base even when the fluid shear rate was applied at about 0.1 s −1 . The area of high tension was also localized at the upstream side, and negative tension appeared at the downstream side. Such localization may be useful to sense the flow direction at the periphery, as time-averaged anticlockwise circulation was induced in the node by rotation of a few cilia. Our numerical results support the mechanosensing hypothesis, and we expect that our study will stimulate further experimental investigations of mechanotransduction in the near future.


Author(s):  
Emna Berrich ◽  
Fethi Aloui ◽  
Jack Legrand

Couette-Taylor-Poiseuille flow CTPF consists on the superposition of Couette-Taylor flow to an axial flow. The CTPF flow hydrodynamics studies remain rather qualitative or numerical or are restricted to relatively low Taylor and/or axial Reynolds numbers. For more comprehensive and control of CTPF, especially for relatively high Taylor numbers and high axial Reynolds numbers, we investigated experimentally CTF with and without an axial flow, using the electro-diffusion ED method. This technique requires the use of Electro-Diffusion ED probe which allows the determination of the local mass transfer rate from the Limiting Diffusion current measurement delivered by the ED probe while it is polarized by a polarization voltage. From the local mass transfer (the Sherwood number), we determined the wall shear rate using different approaches. The results illustrate that low axial flow can generate a stabilizing effect on the CT flow. The time-evolutions of the local mass transfer and the wall shear rate are periodic. These evolutions characterize the waviness or the stretching of the vortices. However, Taylor Wavy Vortex Flow TWVF is destabilized under the effect of relatively important axial flow. The time-evolutions of wall shear rate are no longer periodic. Indeed, Taylor vortices are overlapped or completely destructed.


1996 ◽  
Vol 61 (9) ◽  
pp. 1267-1284
Author(s):  
Ondřej Wein

Response of an electrodiffusion friction sensor to a finite step of the wall shear rate is studied by numerically solving the relevant mass-transfer problem. The resulting numerical data on transient currents are treated further to provide reasonably accurate analytical representations. Existing approximations to the general response operator are checked by using the obtained exact solution.


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 (&gt;45 μm in diameter), but not small (&lt;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.


1995 ◽  
Vol 21 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Peter J. Brands ◽  
Arnold P.G. Hoeks ◽  
Leo Hofstra ◽  
Robert S. Reneman

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