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

Author:

Fanni Benigno Marco1ORCID,Antonuccio Maria Nicole1ORCID,Pizzuto Alessandra2ORCID,Berti Sergio3ORCID,Santoro Giuseppe2ORCID,Celi Simona1ORCID

Affiliation:

1. BioCardioLab, Bioengineering Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, Italy

2. Pediatric Cardiology Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, Italy

3. Adult Cardiology Unit, Fondazione Toscana “G. Monasterio”, 54100 Massa, Italy

Abstract

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 (E) on a Fluid–Structure Interaction (FSI) model of a patient-specific aorta. Methods: The image-based χ-method was used to compute the initial E 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 E value was assumed. Results: The influence of the uncertain E 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 E 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 E, highlighting the feasibility of retrieving useful additional data and enhancing the reliability of in silico models in clinical practice.

Funder

Italian Ministry of Health with the project IMeC

European Union’s Horizon 2020 research and innovation programme

Publisher

MDPI AG

Subject

Pharmacology (medical),General Pharmacology, Toxicology and Pharmaceutics

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