Longitudinal Dispersion of Tracer Particles in the Blood Flowing in a Pulmonary Alveolar Sheet

1975 ◽  
Vol 42 (3) ◽  
pp. 536-540 ◽  
Author(s):  
Y. C. Fung ◽  
H. T. Tang
Keyword(s):  
Blood Flow ◽  
Cylindrical Tube ◽  
Creeping Flow ◽  
Longitudinal Dispersion ◽  
Porous Layers ◽  
Tracer Particles ◽  
The Mean ◽  
Circular Cylindrical Tube

The analysis of G. I. Taylor on the dispersion of solutes in a circular cylindrical tube is extended to the case of flow in a channel bounded by porous layers. Creeping flow in the channel and the porous layers stimulates the blood flow in the alveolar sheets of the lung. Overall perturbation on the longitudinal dispersion due to the porous layers is evaluated. It is shown that the mean coefficient of apparent diffusivity is smaller in a channel bounded by porous layers than that in a channel with impermeable walls for the case that the channel walls are permeable to solvent but not to tracer. For the case that channel walls are permeable to both solvent and tracer, the mean coefficient of apparent diffusivity is nearly the same as that of a channel with impermeable walls.

scholarly journals Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Farhad Ali ◽  
Samina Majeed ◽  
Anees Imtiaz
Keyword(s):  
Blood Flow ◽  
Magnetic Particles ◽  
Mass Parameter ◽  
Classical Model ◽  
Cylindrical Tube ◽  
Definition Of ◽  
Circular Cylindrical Tube ◽  
Short Time ◽  
Applied External Magnetic Field ◽  
Fractional Parameter

The present work theoretically investigates the natural convection blood flow as a Brinkman-type fluid with uniformly distributed magnetic particles in a circular cylindrical tube with the applied external magnetic field. The classical model for the blood flow is generalized by using the definition of Caputo time-fractional derivative. The exact solutions are obtained by using the Laplace and Henkel transforms. Unlike the classical model, the obtained general results are expressed in the form of “Lorenzo and Hartley’s” and “Robotnov and Hartley’s” functions. Graphs are plotted to show the effects of different parameters on the blood flow. Furthermore, the velocity and temperature distributions are discussed in terms of memory. The effect of fractional parameter α for a long and short time has also been observed. It is noticed that blood velocity can be controlled using the fractional parameter. It is also found that, for τ > 0 , fluid and particles motion increased, and reverse behavior is observed for τ < 0 . It has been noticed that increasing values of particle mass parameter P m and magnetic parameter M slow down the motion of blood and magnetic particles. These results are helpful for effective drug delivery and regulating blood flow.

Flow in Locally Constricted Tubes at Low Reynolds Numbers

1970 ◽  
Vol 37 (1) ◽  
pp. 9-16 ◽  
Author(s):  
Jen-Shih Lee ◽  
Yuan-Cheng Fung
Keyword(s):  
Reynolds Number ◽  
Blood Flow ◽  
Shear Stress ◽  
Cylindrical Tube ◽  
Reynolds Numbers ◽  
Velocity Measurements ◽  
Number Range ◽  
Low Reynolds Numbers ◽  
Circular Cylindrical Tube ◽  
Velocity Pressure

With an objective to understand arteriosclerosis, the blood flow in a circular cylindrical tube with a local constriction is analyzed. Numerical results are presented for the streamlines and the distributions of velocity, pressure, vorticity, and shear stress in the Reynolds number range 0–25. These results have applications to other fluid-mechanical problems such as gauges for velocity measurements, etc.

Fluid Movement in a Channel With Permeable Walls Covered by Porous Media: A Model of Lung Alveolar Sheet

1975 ◽  
Vol 42 (1) ◽  
pp. 45-50 ◽  
Author(s):  
H. T. Tang ◽  
Y. C. Fung
Keyword(s):  
Reynolds Number ◽  
Blood Flow ◽  
Porous Media ◽  
Human Lung ◽  
Water Movement ◽  
Porous Wall ◽  
Creeping Flow ◽  
Thin Layers ◽  
Porous Layers ◽  
Permeable Walls

The smallest microscopic blood vessels in the human lung are organized into sheet-like networks. These sheets form the walls of the 300 million alveoli in which air flows due to breathing. Each sheet may be idealized into a channel bounded by two thin layers of porous media. This paper is concerned with the blood flow in the channel and water movement in the porous wall. The Reynolds number in the lung alveolar sheets is very low, so creeping flow is assumed. Analytical and numerical results on the velocity and pressure distribution in the porous layers are presented.

scholarly journals Longitudinal dispersion of tracer particles in a channel bounded by Porous media using slip condition

1984 ◽  
Vol 7 (4) ◽  
pp. 755-764 ◽  
Author(s):  
Dulal Pal ◽  
R. Veerabhadraiah ◽  
P. N. Shivakumar ◽  
N. Rudraiah
Keyword(s):  
Porous Media ◽  
Longitudinal Dispersion ◽  
Slip Condition ◽  
Porous Layers ◽  
Tracer Particles

Longitudinal dispersion of solute in a channel bounded by porous layers is studied using the analysis of Taylor [4] with BJ slip condition. The results of the present analysis are compared with those of Fung and Tang [2] obtained from using the no-slip condition. It is found that the effect of slip is significant only in the case when the membrane is permeable to solvent but not to the tracer. However, in the case when the membrane is permeable to both the tracer and the solvent, we find that our results coincide with those of Fung and Tang [2].

Effects of NO-Donors on Thrombus Formation and Microcirculation in Cerebral Vessels of the Rat

1996 ◽  
Vol 76 (01) ◽  
pp. 111-117 ◽  
Author(s):  
Yasuto Sasaki ◽  
Junji Seki ◽  
John C Giddings ◽  
Junichiro Yamamoto
Keyword(s):  
Blood Flow ◽  
Thrombus Formation ◽  
Dependent Manner ◽  
Red Cell ◽  
Cell Velocity ◽  
Red Cell Velocity ◽  
The Mean ◽  
Wall Shear ◽  
Dose Dependent

SummarySodium nitroprusside (SNP) and 3-morpholinosydnonimine (SIN-1), are known to liberate nitric oxide (NO). In this study the effects of SNP and SIN-1 on thrombus formation in rat cerebral arterioles and venules in vivo were assessed using a helium-neon (He-Ne) laser. SNP infused at doses from 10 Μg/kg/h significantly inhibited thrombus formation in a dose dependent manner. This inhibition of thrombus formation was suppressed by methylene blue. SIN-1 at a dose of 100 Μg/kg/h also demonstrated a significant antithrombotic effect. Moreover, treatment with SNP increased vessel diameter in a dose dependent manner and enhanced the mean red cell velocity measured with a fiber-optic laser-Doppler anemometer microscope (FLDAM). Blood flow, calculated from the mean red cell velocity and vessel diameters was increased significantly during infusion. In contrast, mean wall shear rates in the arterioles and venules were not changed by SNP infusion. The results indicated that SNP and SIN-1 possessed potent antithrombotic activities, whilst SNP increased cerebral blood flow without changing wall shear rate. The findings suggest that the NO released by SNP and SIN-1 may be beneficial for the treatment and protection of cerebral infarction

scholarly journals Association of changes of retinal vessels diameter with ocular blood flow in eyes with diabetic retinopathy

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yoshitaka Ueno ◽  
Takeshi Iwase ◽  
Kensuke Goto ◽  
Ryo Tomita ◽  
Eimei Ra ◽  
...  
Keyword(s):  
Blood Flow ◽  
Diabetic Retinopathy ◽  
Adaptive Optics ◽  
Laser Speckle ◽  
The Other ◽  
Systemic Hypertension ◽  
Laser Speckle Flowgraphy ◽  
Retinal Vessels ◽  
External Diameter ◽  
The Mean

AbstractWe investigated morphological changes of retinal arteries to determine their association with the blood flow and systemic variables in type 2 diabetes patients. The patients included 47 non-diabetic retinopathy eyes, 36 mild or moderate nonproliferative diabetic retinopathy (M-NPDR) eyes, 22 severe NPDR (S-NPDR) eyes, 32 PDR eyes, and 24 normal eyes as controls. The mean wall to lumen ratio (WLR) measured by adaptive optics camera was significantly higher in the PDR groups than in all of the other groups (all P < 0.001). However, the external diameter of the retinal vessels was not significantly different among the groups. The mean blur rate (MBR)-vessel determined by laser speckle flowgraphy was significantly lower in the PDR group than in the other groups (P < 0.001). The WLR was correlated with MBR-vessel (r = − 0.337, P < 0.001), duration of disease (r = 0.191, P = 0.042), stage of DM (r = 0.643, P < 0.001), systolic blood pressure (r = 0.166, P < 0.037), and presence of systemic hypertension (r = 0.443, P < 0.001). Multiple regression analysis demonstrated that MBR-vessel (β = − 0.389, P < 0.001), presence of systemic hypertension (β = 0.334, P = 0.001), and LDL (β = 0.199, P = 0.045) were independent factors significantly associated with the WLR. The increased retinal vessel wall thickness led to a narrowing of lumen diameter and a decrease in the blood flow in the PDR group.

scholarly journals Quantitative cerebral blood flow using xenon-enhanced CT after decompressive craniectomy in traumatic brain injury

2018 ◽  
Vol 129 (1) ◽  
pp. 241-246 ◽  
Author(s):  
Aditya Vedantam ◽  
Claudia S. Robertson ◽  
Shankar P. Gopinath
Keyword(s):  
Traumatic Brain Injury ◽  
Blood Flow ◽  
Cerebral Blood Flow ◽  
Brain Injury ◽  
Clinical Outcome ◽  
Decompressive Craniectomy ◽  
Decompressive Surgery ◽  
Hemodynamic Parameters ◽  
Enhanced Ct ◽  
The Mean

OBJECTIVEFew studies have reported on changes in quantitative cerebral blood flow (CBF) after decompressive craniectomy and the impact of these measures on clinical outcome. The aim of the present study was to evaluate global and regional CBF patterns in relation to cerebral hemodynamic parameters in patients after decompressive craniectomy for traumatic brain injury (TBI).METHODSThe authors studied clinical and imaging data of patients who underwent xenon-enhanced CT (XeCT) CBF studies after decompressive craniectomy for evacuation of a mass lesion and/or to relieve intractable intracranial hypertension. Cerebral hemodynamic parameters prior to decompressive craniectomy and at the time of the XeCT CBF study were recorded. Global and regional CBF after decompressive craniectomy was measured using XeCT. Regional cortical CBF was measured under the craniectomy defect as well as for each cerebral hemisphere. Associations between CBF, cerebral hemodynamics, and early clinical outcome were assessed.RESULTSTwenty-seven patients were included in this study. The majority of patients (88.9%) had an initial Glasgow Coma Scale score ≤ 8. The median time between injury and decompressive surgery was 9 hours. Primary decompressive surgery (within 24 hours) was performed in the majority of patients (n = 18, 66.7%). Six patients had died by the time of discharge. XeCT CBF studies were performed a median of 51 hours after decompressive surgery. The mean global CBF after decompressive craniectomy was 49.9 ± 21.3 ml/100 g/min. The mean cortical CBF under the craniectomy defect was 46.0 ± 21.7 ml/100 g/min. Patients who were dead at discharge had significantly lower postcraniectomy CBF under the craniectomy defect (30.1 ± 22.9 vs 50.6 ± 19.6 ml/100 g/min; p = 0.039). These patients also had lower global CBF (36.7 ± 23.4 vs 53.7 ± 19.7 ml/100 g/min; p = 0.09), as well as lower CBF for the ipsilateral (33.3 ± 27.2 vs 51.8 ± 19.7 ml/100 g/min; p = 0.07) and contralateral (36.7 ± 19.2 vs 55.2 ± 21.9 ml/100 g/min; p = 0.08) hemispheres, but these differences were not statistically significant. The patients who died also had significantly lower cerebral perfusion pressure (52 ± 17.4 vs 75.3 ± 10.9 mm Hg; p = 0.001).CONCLUSIONSIn the presence of global hypoperfusion, regional cerebral hypoperfusion under the craniectomy defect is associated with early mortality in patients with TBI. Further study is needed to determine the value of incorporating CBF studies into clinical decision making for severe traumatic brain injury.

Peak calf blood flow estimates are higher with Dohn than with Whitney plethysmograph

1996 ◽  
Vol 81 (3) ◽  
pp. 1418-1422 ◽  
Author(s):  
D. N. Proctor ◽  
J. R. Halliwill ◽  
P. H. Shen ◽  
N. E. Vlahakis ◽  
M. J. Joyner
Keyword(s):  
Blood Flow ◽  
Reactive Hyperemia ◽  
Arterial Occlusion ◽  
Venous Occlusion ◽  
Calf Blood Flow ◽  
Absolute Flow ◽  
Wide Range ◽  
Before And After ◽  
The Mean ◽  
Highly Correlated

Estimates of calf blood flow with venous occlusion plethysmography vary widely between studies, perhaps due to the use of different plethysmographs. Consequently, we compared calf blood flow estimates at rest and during reactive hyperemia in eight healthy subjects (four men and four women) with two commonly used plethysmographs: the mercury-in-silastic (Whitney) strain gauge and Dohn air-filled cuff. To minimize technical variability, flow estimates were compared with a Whitney gauge and a Dohn cuff on opposite calves before and after 10 min of bilateral femoral arterial occlusion. To account for any differences between limbs, a second trial was conducted in which the plethysmographs were switched. Resting flows did not differ between the plethysmographs (P = 0.096), but a trend toward lower values with the Whitney was apparent. Peak flows averaged 37% lower with the Whitney (27.8 +/- 2.8 ml.dl-1.min-1) than with the Dohn plethysmograph (44.4 +/- 2.8 ml.dl-1.min-1; P < 0.05). Peak flow expressed as a multiple above baseline was also lower with the Whitney (10-fold) than with the Dohn plethysmograph (14.5-fold; P = 0.02). Across all flows at rest and during reactive hyperemia, estimates were highly correlated between the plethysmographs in all subjects (r2 = 0.96-0.99). However, the mean slope for the Whitney-Dohn relationship was only 60 +/- 2%, indicating that over a wide range of flows the Whitney gauge estimate was 40% lower than that for the Dohn cuff. These results demonstrate that the same qualitative results can be obtained with either plethysmograph but that absolute flow values will generally be lower with Whitney gauges.

Renal glomerular filtration rate and hepatic blood flow during voluntary diving in Weddell seals

1983 ◽  
Vol 245 (5) ◽  
pp. R743-R748 ◽  
Author(s):  
R. W. Davis ◽  
M. A. Castellini ◽  
G. L. Kooyman ◽  
R. Maue
Keyword(s):  
Blood Flow ◽  
Glomerular Filtration Rate ◽  
Glomerular Filtration ◽  
Hepatic Blood Flow ◽  
Filtration Rate ◽  
Hepatic Function ◽  
Inulin Clearance ◽  
Weddell Seals ◽  
Icg Clearance ◽  
The Mean

Renal and hepatic function were studied during voluntary dives in Weddell seals by measuring the clearance rate of inulin and indocyanine green (ICG). Inulin is cleared exclusively by the kidneys and measures renal glomerular filtration rate (GFR). ICG is cleared by the liver and is blood flow dependent at concentrations used. Studies were conducted from a portable hut with a trapdoor placed over an isolated hole in the sea ice near McMurdo Station, Antarctica. An intravertebral extradural catheter was inserted percutaneously under light anesthesia in subadult seals weighing 130-200 kg. When released into the ice hole, the seals made voluntary dives, but always had to return to breathe. Serial blood samples were taken after single injections of inulin and ICG and analyzed within 24 h. The mean half time (t 1/2) for inulin clearance while resting at the surface was 27.3 +/- 13.0 min (n = 43) and the mean t 1/2 for ICG clearance was 18.3 +/- 7.3 min (n = 23). The mean resting GFR was 3.6 ml X min-1 X kg-1 (range 3.2-3.9, n = 3). Inulin and ICG clearance rates did not change from resting levels during dives shorter than the seal's aerobic dive limit (ADL). Inulin clearance decreased over 90% during dives longer than the ADL, but there was no significant reduction in ICG clearance during dives lasting up to 23 min. It appears that normal renal GFR and hepatic blood flow continue during natural aerobic dives. During dives that exceed the ADL, GFR is reduced but hepatic blood flow may be maintained.

scholarly journals Adrenergic airway vascular smooth muscle responsiveness in healthy and asthmatic subjects

2001 ◽  
Vol 90 (2) ◽  
pp. 665-669 ◽  
Author(s):  
Jorge Brieva ◽  
Adam Wanner
Keyword(s):  
Blood Flow ◽  
Smooth Muscle ◽  
Vascular Smooth Muscle ◽  
Dead Space ◽  
Healthy Subjects ◽  
Contractile Response ◽  
Mucosal Blood Flow ◽  
Forced Expiratory Volume ◽  
Baseline Values ◽  
The Mean

The purpose of the present study was to determine the responsiveness of airway vascular smooth muscle (AVSM) as assessed by airway mucosal blood flow (Q˙aw) to inhaled methoxamine (α1-agonist; 0.6–2.3 mg) and albuterol (β2-agonist; 0.2–1.2 mg) in healthy [ n = 11; forced expiratory volume in 1 s, 92 ± 4 (SE) % of predicted] and asthmatic ( n = 11, mean forced expiratory volume in 1 s, 81 ± 5%) adults. Mean baseline values for Q˙aw were 43.8 ± 0.7 and 54.3 ± 0.8 μl · min−1· ml−1of anatomic dead space in healthy and asthmatic subjects, respectively ( P < 0.05). After methoxamine inhalation, the maximal mean change in Q˙aw was −13.5 ± 1.0 μl · min−1· ml−1in asthmatic and −7.1 ± 2.1 μl · min−1· ml−1in healthy subjects ( P < 0.05). After albuterol, the mean maximal change in Q˙aw was 3.0 ± 0.8 μl · min−1· ml−1in asthmatic and 14.0 ± 1.1 μl · min−1· ml−1in healthy subjects ( P < 0.05). These results demonstrate that the contractile response of AVSM to α1-adrenoceptor activation is enhanced and the dilator response of AVSM to β2-adrenoceptor activation is blunted in asthmatic subjects.

Sign in / Sign up

Export Citation Format

Share Document