TY - JOUR
T1 - Simulation-based uncertainty quantification of human arterial network hemodynamics
JF - International Journal Numerical Methods Biomedical Engineering
Y1 - 2012
A1 - Peng Chen
A1 - Alfio Quarteroni
A1 - Gianluigi Rozza
KW - uncertainty quantification, mathematical modelling of the cardiovascular system, fluid-structure interaction
AB - This work aims at identifying and quantifying uncertainties from various sources in human cardiovascular\r\nsystem based on stochastic simulation of a one dimensional arterial network. A general analysis of\r\ndifferent uncertainties and probability characterization with log-normal distribution of these uncertainties\r\nis introduced. Deriving from a deterministic one dimensional fluid structure interaction model, we establish\r\nthe stochastic model as a coupled hyperbolic system incorporated with parametric uncertainties to describe\r\nthe blood flow and pressure wave propagation in the arterial network. By applying a stochastic collocation\r\nmethod with sparse grid technique, we study systemically the statistics and sensitivity of the solution with\r\nrespect to many different uncertainties in a relatively complete arterial network with potential physiological\r\nand pathological implications for the first time.
PB - Wiley
U1 - 6467
U2 - Mathematics
U4 - 1
U5 - MAT/08 ANALISI NUMERICA
ER -