Simulation-based uncertainty quantification of human arterial network hemodynamics

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.


Published in:
International Journal Numerical Methods Biomedical Engineering, 29, 6, 698-721
Year:
2013
Publisher:
Hoboken, Wiley-Blackwell
Keywords:
Note:
MATHICSE report 42.2012
Laboratories:




 Record created 2013-03-07, last modified 2018-03-17

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