Simulation-based uncertainty quantification of human arterial network hemodynamics


International Journal for Numerical Methods in Biomedical Engineering, 29(6), p. pp. 698–721




P. Chen, A. Quarteroni, and G. Rozza

This work aims at identifying and quantifying uncertainties from various sources in human cardiovascular system based on stochastic simulation of a one-dimensional arterial network. A general analysis of different uncertainties and probability characterization with log-normal distribution of these uncertainties is introduced. Deriving from a deterministic one-dimensional fluid-structure interaction model, we establish the stochastic model as a coupled hyperbolic system incorporated with parametric uncertainties to describe the blood flow and pressure wave propagation in the arterial network. By applying a stochastic collocation method with sparse grid technique, we study systemically the statistics and sensitivity of the solution with respect to many different uncertainties in a relatively complete arterial network with potential physiological and pathological implications for the first time.

author = {Chen, P. and Quarteroni, A. and Rozza, G.},
title = {Simulation-based uncertainty quantification of human arterial network
journal = {International Journal for Numerical Methods in Biomedical Engineering},
year = {2013},
volume = {29},
pages = {698--721},
number = {6},
doi = {10.1002/cnm.2554},

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