Wave propagation in stenotic vessels; theoretical analysis and comparison between 3D and 1D fluid–structure-interaction models

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Title: Wave propagation in stenotic vessels; theoretical analysis and comparison between 3D and 1D fluid–structure-interaction models
Authors: Papadakis, G
Raspaud, J
Item Type: Journal Article
Abstract: Using analytical expressions for the pressure and velocity waveforms in tapered vessels, we construct a linear 1D model for wave propagation in stenotic vessels in the frequency domain. We demonstrate that using only two parameters to approximate the exact geometry of the constriction (length and degree of stenosis), we can construct a model that can be solved analytically and can approximate with excellent accuracy the response of the original vessel for a wide range of physiologically relevant frequencies. We then proceed to compare the 1D results with full 3D FSI results from the literature for parameters corresponding to an idealized stenotic carotid artery. We find excellent matching with the volume flow rare over the cardiac cycle (less than 1% error). Using results from DNS simulations to parametrize the velocity profile in the stenotic region, we manage to predict also the pressure distribution with small error (a few percentage points). The method proposed in the paper can be used to approximate vessels of arbitrary shape profile and can be extended to cover the whole cardiovascular tree. Recursive expressions make the solution very fast and open the possibility of carrying out sensitivity and uncertainty quantification studies that require thousands (or even millions) of simulations with minimal cost.
Issue Date: 31-Jul-2019
Date of Acceptance: 5-Jun-2019
URI: http://hdl.handle.net/10044/1/70858
DOI: https://dx.doi.org/10.1016/j.jfluidstructs.2019.06.003
ISSN: 0889-9746
Publisher: Elsevier BV
Start Page: 352
End Page: 366
Journal / Book Title: Journal of Fluids and Structures
Volume: 88
Copyright Statement: © 2019 Published by Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: 09 Engineering
Fluids & Plasmas
Publication Status: Published
Embargo Date: 2020-06-12
Online Publication Date: 2019-06-12
Appears in Collections:Faculty of Engineering
Aeronautics



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