Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls

Introduction: Patient-specific computational models are a powerful tool for planning cardiovascular interventions. However, the in vivo patient-specific mechanical properties of vessels represent a major source of uncertainty. In this study, we investigated the effect of uncertainty in the elastic m...

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Main Authors: Benigno Marco Fanni, Maria Nicole Antonuccio, Alessandra Pizzuto, Sergio Berti, Giuseppe Santoro, Simona Celi
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Journal of Cardiovascular Development and Disease
Subjects:
Online Access:https://www.mdpi.com/2308-3425/10/3/109
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author Benigno Marco Fanni
Maria Nicole Antonuccio
Alessandra Pizzuto
Sergio Berti
Giuseppe Santoro
Simona Celi
author_facet Benigno Marco Fanni
Maria Nicole Antonuccio
Alessandra Pizzuto
Sergio Berti
Giuseppe Santoro
Simona Celi
author_sort Benigno Marco Fanni
collection DOAJ
description Introduction: Patient-specific computational models are a powerful tool for planning cardiovascular interventions. However, the in vivo patient-specific mechanical properties of vessels represent a major source of uncertainty. In this study, we investigated the effect of uncertainty in the elastic module (<i>E</i>) on a Fluid–Structure Interaction (FSI) model of a patient-specific aorta. Methods: The image-based <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>χ</mi></semantics></math></inline-formula>-method was used to compute the initial <i>E</i> value of the vascular wall. The uncertainty quantification was carried out using the generalized Polynomial Chaos (gPC) expansion technique. The stochastic analysis was based on four deterministic simulations considering four quadrature points. A deviation of about ±20% on the estimation of the <i>E</i> value was assumed. Results: The influence of the uncertain <i>E</i> parameter was evaluated along the cardiac cycle on area and flow variations extracted from five cross-sections of the aortic FSI model. Results of stochastic analysis showed the impact of <i>E</i> in the ascending aorta while an insignificant effect was observed in the descending tract. Conclusions: This study demonstrated the importance of the image-based methodology for inferring <i>E</i>, highlighting the feasibility of retrieving useful additional data and enhancing the reliability of in silico models in clinical practice.
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spelling doaj.art-2cdd0c1fdd3b4847a449a2561d7779042023-11-17T11:47:33ZengMDPI AGJournal of Cardiovascular Development and Disease2308-34252023-03-0110310910.3390/jcdd10030109Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular WallsBenigno Marco Fanni0Maria Nicole Antonuccio1Alessandra Pizzuto2Sergio Berti3Giuseppe Santoro4Simona Celi5BioCardioLab, Bioengineering Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyBioCardioLab, Bioengineering Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyPediatric Cardiology Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyAdult Cardiology Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyPediatric Cardiology Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyBioCardioLab, Bioengineering Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, ItalyIntroduction: Patient-specific computational models are a powerful tool for planning cardiovascular interventions. However, the in vivo patient-specific mechanical properties of vessels represent a major source of uncertainty. In this study, we investigated the effect of uncertainty in the elastic module (<i>E</i>) on a Fluid–Structure Interaction (FSI) model of a patient-specific aorta. Methods: The image-based <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>χ</mi></semantics></math></inline-formula>-method was used to compute the initial <i>E</i> value of the vascular wall. The uncertainty quantification was carried out using the generalized Polynomial Chaos (gPC) expansion technique. The stochastic analysis was based on four deterministic simulations considering four quadrature points. A deviation of about ±20% on the estimation of the <i>E</i> value was assumed. Results: The influence of the uncertain <i>E</i> parameter was evaluated along the cardiac cycle on area and flow variations extracted from five cross-sections of the aortic FSI model. Results of stochastic analysis showed the impact of <i>E</i> in the ascending aorta while an insignificant effect was observed in the descending tract. Conclusions: This study demonstrated the importance of the image-based methodology for inferring <i>E</i>, highlighting the feasibility of retrieving useful additional data and enhancing the reliability of in silico models in clinical practice.https://www.mdpi.com/2308-3425/10/3/109uncertainty quantificationnumerical modelingimagingfluid–structure interactionmechanical propertiesmagnetic resonance imaging
spellingShingle Benigno Marco Fanni
Maria Nicole Antonuccio
Alessandra Pizzuto
Sergio Berti
Giuseppe Santoro
Simona Celi
Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
Journal of Cardiovascular Development and Disease
uncertainty quantification
numerical modeling
imaging
fluid–structure interaction
mechanical properties
magnetic resonance imaging
title Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
title_full Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
title_fullStr Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
title_full_unstemmed Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
title_short Uncertainty Quantification in the In Vivo Image-Based Estimation of Local Elastic Properties of Vascular Walls
title_sort uncertainty quantification in the in vivo image based estimation of local elastic properties of vascular walls
topic uncertainty quantification
numerical modeling
imaging
fluid–structure interaction
mechanical properties
magnetic resonance imaging
url https://www.mdpi.com/2308-3425/10/3/109
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AT sergioberti uncertaintyquantificationintheinvivoimagebasedestimationoflocalelasticpropertiesofvascularwalls
AT giuseppesantoro uncertaintyquantificationintheinvivoimagebasedestimationoflocalelasticpropertiesofvascularwalls
AT simonaceli uncertaintyquantificationintheinvivoimagebasedestimationoflocalelasticpropertiesofvascularwalls