Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model

Giulia Bertaglia, Valerio Caleffi, Lorenzo Pareschi, Alessandro Valiani

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

This work aims at identifying and quantifying uncertainties related to elastic and viscoelastic parameters, which characterize the arterial wall behavior, in one-dimensional modeling of the human arterial hemodynamics. The chosen uncertain parameters are modeled as random Gaussian-distributed variables, making stochastic the system of governing equations. The proposed methodology is initially validated on a model equation, presenting a thorough convergence study which confirms the spectral accuracy of the stochastic collocation method and the second-order accuracy of the IMEX finite volume scheme chosen to solve the mathematical model. Then, univariate and multivariate uncertain quantification analyses are applied to the a-FSI blood flow model, concerning baseline and patient-specific single-artery test cases. A different sensitivity is depicted when comparing the variability of flow rate and velocity waveforms to the variability of pressure and area, the latter ones resulting much more sensitive to the parametric uncertainties underlying the mechanical characterization of vessel walls. Simulations performed considering both the simple elastic and the more realistic viscoelastic constitutive law show that the great uncertainty of the viscosity parameter plays a major role in the prediction of pressure waveforms, enlarging the confidence interval of this variable. In-vivo recorded patient-specific pressure data falls within the confidence interval of the output obtained with the proposed methodology and expectations of the computed pressures are comparable to the recorded waveforms.

Original languageEnglish
Article number110102
JournalJournal of Computational Physics
Volume430
DOIs
StatePublished - 1 Apr 2021
Externally publishedYes

Keywords

  • Blood flow models
  • Finite volume methods
  • Fluid-structure interaction
  • IMEX Runge-Kutta schemes
  • Stochastic collocation methods
  • Uncertainty quantification

Fingerprint

Dive into the research topics of 'Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model'. Together they form a unique fingerprint.

Cite this