Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities

This research aims to model cardiac pulse wave reflections due to the presence of arterial irregularities such as bifurcations, stiff arteries, stenoses or aneurysms. When an arterial pressure wave encounters an irregularity, a backward reflected wave travels upstream in the artery and a forward wav...

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Main Author: Alexandre Cornet
Format: Article
Language:English
Published: AIMS Press 2018-09-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2018047
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author Alexandre Cornet
author_facet Alexandre Cornet
author_sort Alexandre Cornet
collection DOAJ
description This research aims to model cardiac pulse wave reflections due to the presence of arterial irregularities such as bifurcations, stiff arteries, stenoses or aneurysms. When an arterial pressure wave encounters an irregularity, a backward reflected wave travels upstream in the artery and a forward wave is transmitted downstream. The same process occurs at each subsequent irregularity, leading to the generation of multiple waves. An iterative algorithm is developed and applied to pathological scenarios to predict the pressure waveform of the reflected wave due to the presence of successive arterial irregularities. For an isolated stenosis, analysing the reflected pressure waveform gives information on its severity. The presence of a bifurcation after a stenosis tends do diminish the amplitude of the reflected wave, as bifurcations' reflection coefficients are relatively small compared to the ones of stenoses or aneurysms. In the case of two stenoses in series, local extrema are observed in the reflected pressure waveform which appears to be a characteristic of stenoses in series along an individual artery. Finally, we model a progressive change in stiffness in the vessel's wall and observe that the less the gradient stiffness is important, the weaker is the reflected wave.
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spelling doaj-art-30723c431bd94cd78fd7be59a87975c22025-01-24T02:41:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-09-011551055107610.3934/mbe.2018047Mathematical modelling of cardiac pulse wave reflections due to arterial irregularitiesAlexandre Cornet0Imperial College London, South Kensington Campus, London SW72AZ, United KingdomThis research aims to model cardiac pulse wave reflections due to the presence of arterial irregularities such as bifurcations, stiff arteries, stenoses or aneurysms. When an arterial pressure wave encounters an irregularity, a backward reflected wave travels upstream in the artery and a forward wave is transmitted downstream. The same process occurs at each subsequent irregularity, leading to the generation of multiple waves. An iterative algorithm is developed and applied to pathological scenarios to predict the pressure waveform of the reflected wave due to the presence of successive arterial irregularities. For an isolated stenosis, analysing the reflected pressure waveform gives information on its severity. The presence of a bifurcation after a stenosis tends do diminish the amplitude of the reflected wave, as bifurcations' reflection coefficients are relatively small compared to the ones of stenoses or aneurysms. In the case of two stenoses in series, local extrema are observed in the reflected pressure waveform which appears to be a characteristic of stenoses in series along an individual artery. Finally, we model a progressive change in stiffness in the vessel's wall and observe that the less the gradient stiffness is important, the weaker is the reflected wave.https://www.aimspress.com/article/doi/10.3934/mbe.2018047arterial irregulartiesblood pressurewave mechanicsmathematical modellingiterative algorithm
spellingShingle Alexandre Cornet
Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
Mathematical Biosciences and Engineering
arterial irregularties
blood pressure
wave mechanics
mathematical modelling
iterative algorithm
title Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
title_full Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
title_fullStr Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
title_full_unstemmed Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
title_short Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
title_sort mathematical modelling of cardiac pulse wave reflections due to arterial irregularities
topic arterial irregularties
blood pressure
wave mechanics
mathematical modelling
iterative algorithm
url https://www.aimspress.com/article/doi/10.3934/mbe.2018047
work_keys_str_mv AT alexandrecornet mathematicalmodellingofcardiacpulsewavereflectionsduetoarterialirregularities