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

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