@article {10671,
	title = {Simulation-based uncertainty quantification of human arterial network hemodynamics},
	journal = {International Journal Numerical Methods Biomedical Engineering},
	number = {SISSA preprint;},
	year = {2012},
	publisher = {Wiley},
	abstract = {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.},
	keywords = {uncertainty quantification, mathematical modelling of the cardiovascular system, fluid-structure interaction},
	author = {Peng Chen and Alfio Quarteroni and Gianluigi Rozza}
}
