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ARTICLE
Pulse wave propagation along human aorta: a model study
1, 2,
3,
4
| 1 | Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics |
| 2 | V.N. Karazin Kharkov National University, Kharkov |
| 3 | Provincial Hospital in Zamość, Zamość |
| 4 | Kharkov National Technical University, Kharkov |
Submission date: 2018-12-03
Acceptance date: 2019-06-10
Online publication date: 2020-01-15
Publication date: 2020-01-15
Journal of Theoretical and Applied Mechanics 2020;58(1):17–34
KEYWORDS
ABSTRACT
In the study, wave propagation along aorta is studied for different normal and pathological
conditions in distal arteries. The mathematical model is based on the axisymmetric incompressible
Navier-Stokes equations for blood and momentum equations for an incompressible
viscoelastic arterial wall. The solution has been found as a superposition of forward and backward
running waves. The blood pressure and flow curves measured by ultrasound in larger
systemic arteries of ten healthy volunteers have been used for identification of the model
parameters. It is shown that individual geometry plays an essential role in the location of
positive and negative wave reflection sites along the aorta and, thus, in the pressure and
flow patterns as well as blood distribution into the side branches. The model is validated by
comparative study with the same dependencies computed previously on a 55-tube model as
well as on the measurement data. The model can be used for determination of the individual
parameters for patient-specific cardiovascular models and further in silico modeling of the
outcomes of surgical and therapeutic procedures.
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