The value of viscoelasticity in computational hemodynamics: Uncertainty quantification and comparison with in-vivo data

To investigate the effects of uncertainties of parameters involved in computational hemodynamics, with particular concern on geometrical and mechanical parameters defining the viscoelastic vessel wall behavior, we propose a second-order stochastic asymptotic-preserving IMEX Finite Volume scheme, which guarantees spectral convergence in the stochastic space and ease of implementation, avoiding the risk of loss of hyperbolicity of the system of stochastic equations. The method is applied to solve the 1D a-FSI blood flow model, presenting numerical results of univariate and multivariate uncertainty quantification analyses concerning baseline and patient-specific single-artery tests. Computed pressure waveforms are compared with in-vivo records.