scholarly journals 237 Numerical Simulation of Pulse Wave Propagation by Using One-Dimensional Arterial Tree Model

2011 ◽  
Vol 2011 (0) ◽  
pp. _237-1_-_237-10_
Author(s):  
Yusuke KAWAI ◽  
Shigehiko KANEKO ◽  
Kazuma YASUDA
2021 ◽  
Vol 2103 (1) ◽  
pp. 012081
Author(s):  
G V Krivovichev ◽  
N V Egorov

Abstract The models of hemodynamics, corresponding to the inviscid, Newtonian, and non-Newtonian models, are compared. The models are constructed by the averaging of the hydrodynamic system on the vessel cross-section. For the inviscid case, the analytical solution of the problem for pulse propagation is obtained. As the result of the comparison, the deviations of the solutions for non-Newtonian models from the Newtonian and inviscid cases are demonstrated.


Author(s):  
Yusuke Kawai ◽  
Shigehiko Kaneko

In recent years, arteriosclerotic cardiovascular disease becomes a serious problem in the developed countries. The degree of the arteriosclerosis should be examined routinely and invasively, and the measurement of pulse wave is considered as an effective estimation method. Nowadays, pulse wave is widely used in clinical practice as a noninvasive method of examining circulatory kinetics, but the mechanism in the process of the systolic wave generated at heart and propagating to the peripheral artery remains to be elucidated. In this research, to investigate the effect of bifurcation on pulse wave propagation, numerical simulations by a dynamic model of arteries and in vitro experiments were conducted. A one-dimensional model of arteries is coupled by partial differential equations describing mass and momentum conservation with the tube law that relates the local cross-sectional area to the local radial pressure difference. In the case of a bifurcated artery model, the governing equations were solved by introducing the momentum caused by the reactive force at bifurcation into the equation of momentum conservation. The momentum by the reactive force at bifurcation was supposed to be proportional to the momentum flowing into the bifurcation, and the proportionality coefficient was derived from experiments. Then, the proposed one-dimensional model was validated by a comparison to experimental data. In the experimental setup, elastic tubes with different values of Young’s modulus were tested to simulate human arteries. From the numerical and experimental results, it turns out that the characteristic waveforms of the pressure and velocity obtained from experiments are also captured by the numerical calculations.


Author(s):  
Hasan Obeid ◽  
Catherine Fortier ◽  
Charles-Antoine Garneau ◽  
Mathilde Paré ◽  
Pierre Boutouyrie ◽  
...  

Background: Pulse wave velocity (PWV) is used to evaluate regional stiffness of large and medium-sized arteries. Here, we examine the feasibility and reliability of radial-digital PWV (RD-PWV) as a measure of regional stiffness of small conduit arteries, and its response to changes in hydrostatic pressure. Methods and results: In 29 healthy subjects, we used Complior Analyse piezoelectric probes to record arterial pulse wave at radial artery and tip of the index. We determined transit time by second-derivative and intersecting-tangents using the device-embedded algorithms, in house Matlab-based analyses of only reliable waves, and by numerical simulation using a one dimensional (1-D) arterial tree model coupled with heart model. Second-derivative RD-PWV were 4.68±1.18, 4.69±1.21, 4.32±1.19 m/s for device-embedded, Matlab-based and numerical simulation analyses, respectively. Intersecting-tangents RD-PWV were 4.73±1.20, 4.45±1.08, 4.50±0.84 m/s for device-embedded, Matlab-based and numerical simulation analyses, respectively. Intersession coefficients of variation were 7.0±4.9% and 3.2±1.9% (P=0.04) for device-embedded and Matlab-based second derivative algorithms. In 15 subjects, we examine the response of RD-PWV to changes in local hydrostatic pressure by vertical displacement of the hand. For an increase of 10 mm Hg in local hydrostatic pressure RD-PWV increased by 0.28 m/s (95% CI: 0.16 to 0.40; P<0.001). Conclusions: This study shows that RD-PWV can be used for the non-invasive assessment of regional stiffness of small conduit arteries. This finding allows for an integrated approach for assessing arterial stiffness gradient from aorta, to medium-sized arteries, and now to small conduit arteries.


2011 ◽  
Vol 43 (1) ◽  
pp. 467-499 ◽  
Author(s):  
Frans N. van de Vosse ◽  
Nikos Stergiopulos

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