A novel, FFT-based one-dimensional blood flow solution method for arterial network

Sazonov, Igor; Nithiarasu, Perumal

doi:10.1007/s10237-019-01146-0

Journal article 779 views 90 downloads

A novel, FFT-based one-dimensional blood flow solution method for arterial network

Igor Sazonov

, Perumal Nithiarasu

Biomechanics and Modeling in Mechanobiology, Volume: 18, Issue: 5, Pages: 1311 - 1334

Swansea University Authors: Igor Sazonov , Perumal Nithiarasu

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DOI (Published version): 10.1007/s10237-019-01146-0

Abstract

In the present work, we propose an FFT-based method for solving blood flow equations in an arterial network with variable properties and geometrical changes. An essential advantage of this approach is in correctly accounting for the vessel skin friction through the use of Womersley solution. To inco...

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Published in:	Biomechanics and Modeling in Mechanobiology
ISSN:	1617-7959 1617-7940
Published:	Springer Science and Business Media LLC 2019
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URI:	https://cronfa.swan.ac.uk/Record/cronfa49921
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first_indexed	2019-04-08T10:16:44Z
last_indexed	2023-02-22T03:57:34Z
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spelling	2023-02-21T16:11:14.6678192 v2 49921 2019-04-08 A novel, FFT-based one-dimensional blood flow solution method for arterial network 05a507952e26462561085fb6f62c8897 0000-0001-6685-2351 Igor Sazonov Igor Sazonov true false 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2019-04-08 AERO In the present work, we propose an FFT-based method for solving blood flow equations in an arterial network with variable properties and geometrical changes. An essential advantage of this approach is in correctly accounting for the vessel skin friction through the use of Womersley solution. To incorporate nonlinear effects, a novel approximation method is proposed to enable calculation of nonlinear corrections. Unlike similar methods available in the literature, the set of algebraic equations required for every harmonic is constructed automatically. The result is a generalized, robust and fast method to accurately capture the increasing pulse wave velocity downstream as well as steepening of the pulse front. The proposed method is shown to be appropriate for incorporating correct convection and diffusion coefficients. We show that the proposed method is fast and accurate and it can be an effective tool for 1D modelling of blood flow in human arterial networks. Journal Article Biomechanics and Modeling in Mechanobiology 18 5 1311 1334 Springer Science and Business Media LLC 1617-7959 1617-7940 Fast Fourier transform (FFT), Perturbation method, 1D arterial haemodynamics, Pulse wave propagation 1 10 2019 2019-10-01 10.1007/s10237-019-01146-0 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2023-02-21T16:11:14.6678192 2019-04-08T09:09:21.9910321 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Igor Sazonov 0000-0001-6685-2351 1 Perumal Nithiarasu 0000-0002-4901-2980 2 49921__17594__91eb57de5e8e49afb42e305728335d9c.pdf sazonov2019v2.pdf 2020-06-29T12:57:18.0912499 Output 9793414 application/pdf Enhanced Version of Record true This article is distributed under the terms of the Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/
title	A novel, FFT-based one-dimensional blood flow solution method for arterial network
spellingShingle	A novel, FFT-based one-dimensional blood flow solution method for arterial network Igor Sazonov Perumal Nithiarasu
title_short	A novel, FFT-based one-dimensional blood flow solution method for arterial network
title_full	A novel, FFT-based one-dimensional blood flow solution method for arterial network
title_fullStr	A novel, FFT-based one-dimensional blood flow solution method for arterial network
title_full_unstemmed	A novel, FFT-based one-dimensional blood flow solution method for arterial network
title_sort	A novel, FFT-based one-dimensional blood flow solution method for arterial network
author_id_str_mv	05a507952e26462561085fb6f62c8897 3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv	05a507952e26462561085fb6f62c8897_*_Igor Sazonov 3b28bf59358fc2b9bd9a46897dbfc92d_*_Perumal Nithiarasu
author	Igor Sazonov Perumal Nithiarasu
author2	Igor Sazonov Perumal Nithiarasu
format	Journal article
container_title	Biomechanics and Modeling in Mechanobiology
container_volume	18
container_issue	5
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publishDate	2019
institution	Swansea University
issn	1617-7959 1617-7940
doi_str_mv	10.1007/s10237-019-01146-0
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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department_str	School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
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description	In the present work, we propose an FFT-based method for solving blood flow equations in an arterial network with variable properties and geometrical changes. An essential advantage of this approach is in correctly accounting for the vessel skin friction through the use of Womersley solution. To incorporate nonlinear effects, a novel approximation method is proposed to enable calculation of nonlinear corrections. Unlike similar methods available in the literature, the set of algebraic equations required for every harmonic is constructed automatically. The result is a generalized, robust and fast method to accurately capture the increasing pulse wave velocity downstream as well as steepening of the pulse front. The proposed method is shown to be appropriate for incorporating correct convection and diffusion coefficients. We show that the proposed method is fast and accurate and it can be an effective tool for 1D modelling of blood flow in human arterial networks.
published_date	2019-10-01T04:01:11Z
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A novel, FFT-based one-dimensional blood flow solution method for arterial network

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