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.

@ARTICLE{ChenQuarteroniRozza2013b,
author = {Chen, P. and Quarteroni, A. and Rozza, G.},
title = {Simulation-based uncertainty quantification of human arterial network
hemodynamics},
journal = {International Journal for Numerical Methods in Biomedical Engineering},
year = {2013},
volume = {29},
pages = {698--721},
number = {6},
doi = {10.1002/cnm.2554},
}