Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements
File(s)Pulse wave propagation in.pdf (3.18 MB)
Accepted version
Author(s)
Type
Journal Article
Abstract
A numerical model based on the nonlinear, one-dimensional (1-D) equations of pressure and flow wave propagation in conduit arteries is tested against a well-defined experimental 1:1 replica of the human arterial tree. The tree consists of 37 silicone branches representing the largest central systemic arteries in the human, including the aorta, carotid arteries and arteries that perfuse the upper and lower limbs and the main abdominal organs. The set-up is mounted horizontally and connected to a pulsatile pump delivering a periodic output similar to the aortic flow. Terminal branches end in simple resistance models, consisting of stiff capillary tubes leading to an overflow reservoir that reflects a constant venous pressure. The parameters required by the numerical algorithm are directly measured in the \emph{in-vitro} set-up and no data fitting is involved. Comparison of experimental and numerical pressure and flow waveforms shows the ability of the 1-D time-domain formulation to capture the main features of pulse wave propagation measured throughout the system test. As a consequence of the simple resistive boundary conditions used to reduce the uncertainty of the parameters involved in the simulation, the experimental set-up generates waveforms at terminal branches with additional non-physiological oscillations. The frequencies of these oscillations are well captured by the 1-D model, even though amplitudes are overestimated. Adding energy losses in bifurcations and including fluid inertia and compliance to the purely resistive terminal models does not reduce the underdamped effect, suggesting that wall visco-elasticity might play an important role in the experimental results. Nevertheless, average relative root-mean-square errors between simulations and experimental waveforms are smaller than 4% for pressure and 19% for the flow at all 70 locations studied.
Version
Accepted version
Date Issued
2007
Citation
J. Biomech., 2007, 40 (15), pp.3476-3486
ISSN
0021-9290
Start Page
3476
End Page
3486
Journal / Book Title
J. Biomech.
Volume
40
Issue
15
Copyright Statement
© 2006 Elsevier Ltd. This is the author’s version of a work that was accepted for publication in Journal of Biomechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Biomechanics, volume 40, issue 15 (2007). doi:10.1016/j.jbiomech.2007.05.027
Identifier
http://www2.imperial.ac.uk/ssherw/spectralhp/papers/JBM-MaAlPeKhSeVePaSh.pdf
Source Volume Number
40
Publication Status
Published