Simulation-based uncertainty quantification of human arterial network hemodynamics.
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Chen P
Modelling and Scientific Computing, Mathematics Institute of Computational Science and Engineering-MATHICSE, Ecole Polytechnique Fédérale de Lausanne-EPFL, Station 8, CH-1015 Lausanne, Switzerland. peng.chen@epfl.ch
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Quarteroni A
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Rozza G
Published in:
- International journal for numerical methods in biomedical engineering. - 2013
English
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.
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Language
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Open access status
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green
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Identifiers
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Persistent URL
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https://sonar.ch/global/documents/37904
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