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PubMed1988

The inverse Womersley problem for pulsatile flow in straight rigid tubes.

In this study a numerical solution for the problem of pulsating flow in rigid tubes is described. The method applies to the case of known flow rate waveform, as opposed to Womersley solution where the pressure gradient was the known quantity. The solution provides the pressure gradient and wall shear stress waveforms as well as the instantaneous velocity profiles. Results show that the method can be used to study the blood flow characteristics in large arteries.

Mathematics↗
PubMed1988

Adrenocortical hormone concentrations in children during cardiopulmonary bypass with and without pulsatile flow.

Plasma cortisol and ACTH concentrations were measured in two groups of children (aged 1-16 yr). Ten children underwent routine (non-pulsatile) cardiopulmonary bypass and 10 underwent pulsatile bypass under moderate hypothermia (28-32 degrees C). Comparable increases in cortisol and ACTH concentrations were demonstrated at the onset of bypass and the concentrations of both hormones increased during bypass. In the post-bypass period plasma cortisol concentration increased sharply; there was no further increase in the plasma ACTH concentration. By 24 h the concentrations of both hormones had declined towards baseline values. There were no significant differences between the groups.

Adolescent↗
PubMed1993

Generalized matched filtering for time-resolved MR angiography of pulsatile flow.

Generating flow-specific images (arteriograms, venograms) with optimal signal-to-noise ratios for time-resolved MR angiography is a conditional maximum problem, and its solutions are generalized matched filters. We have investigated six matched filters, corresponding to all possible combinations of three flow suppression conditions and two signal-to-noise ratio maximization procedures. Four of these matched filters correspond to previously described methods: the subtractive matched filter, the standard deviation, the global venous eigenimage and the global arterial eigenimage. The two others are referred to here as the local venous eigenimage and the local arterial eigenimage. These six matched filters have been applied to 2D time-resolved phase contrast angiographic data. The local arterial eigenimage is found to be the most effective in suppressing undesired venous flow and preserving desired arterial flow.

Blood Flow Velocity↗
PubMed1987

Two-phase pulsatile flows through porous conical tubes of small diameters. Modelisation of the blood microcirculation.

A theoretical study concerning two-component fluid pulsating flow through porous conical ducts is presented. The model corresponds to blood flows through small diameter porous conical vessels. This approach is based on a finite difference method. The physical hypothesis used were based on findings from simultaneous visualization methods. The influence of geometrical, hydrodynamical and structural parameters is systematically examined and related to velocity profiles, hydrostatic pressure.

Blood Flow Velocity↗
PubMed2002

The influence of out-of-plane geometry on pulsatile flow within a distal end-to-side anastomosis.

We present an experimental and computational investigation of time-varying flow in an idealized fully occluded 45 degrees distal end-to-side anastomosis. Two geometric configurations are assessed, one where the centerlines of host and bypass vessels lie within a plane, and one where the bypass vessel is deformed out of the plane of symmetry, respectively, termed planar and non-planar. Flow experiments were conducted by magnetic resonance imaging in rigid wall models and computations were performed using a high order spectral/hp algorithm. Results indicate a significant change in the spatial distribution of wall shear stress and a reduction of the time-averaged peak wall shear stress magnitude by 10% in the non-planar model as compared to the planar configuration. In the planar geometry the stagnation point follows a straight-line path along the host artery bed with a path length of 0.8 diameters. By contrast in the non-planar case the stagnation point oscillates about a center that is located off the symmetry plane intersection with the host artery bed wall, and follows a parabolic path with a 0.7 diameter longitudinal and 0.5 diameter transverse excursion. A definition of the oscillatory shear index (OSI) is introduced that varies between 0 and 0.5 and that accounts for a continuous range of wall shear stress vector angles. In both models, regions of elevated oscillatory shear were spatially associated with regions of separated or oscillating stagnation point flow. The mean oscillatory shear magnitude (considering sites where OSI>0.1) in the non-planar geometry was reduced by 22% as compared to the planar configuration. These changes in the dynamic behavior of the stagnation point and the oscillatory shear distribution introduced by out-of-plane graft curvature may influence the localization of vessel wall sites exposed to physiologically unfavorable flow conditions.

Anastomosis, Surgical↗
PubMed1988

Wall shear stress distribution in the human carotid siphon during pulsatile flow.

Wall shear stress distribution in the carotid siphon, which is a multiple curved segment of the internal carotid artery, is investigated numerically under physiological flow conditions. The computer simulation of flow through the model segment is based on the time-dependent, three-dimensional Navier-Stokes equations, solved numerically with a finite element method. The study shows the behavior of the wall shear stress-vector field and identifies the zones of high and low wall shear stress values during the cardiac cycle.

Blood Flow Velocity↗