Simulation‐based uncertainty quantification of human arterial network hemodynamics

SUMMARY 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. Copyright © 2013 John Wiley & Sons, Ltd.