Simulation-based uncertainty quantification of human arterial network hemodynamics

被引:53
作者
Chen, Peng [1 ]
Quarteroni, Alfio [1 ,2 ]
Rozza, Gianluigi [3 ]
机构
[1] Ecole Polytech Fed Lausanne, Math Inst Computat Sci & Engn MATHICSE, Stn 8, CH-1015 Lausanne, Switzerland
[2] Politecn Milan, Modellist & Calcolo Sci MOX, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
[3] Scuola Int Super Studi Avanzati, SISSA MathLab, I-34136 Trieste, Italy
基金
瑞士国家科学基金会;
关键词
uncertainty quantification; sensitivity analysis; stochastic collocation method; cardiovascular modeling; human arterial network; wave propagation; hemodynamics; PARTIAL-DIFFERENTIAL-EQUATIONS; STOCHASTIC COLLOCATION METHOD; NUMERICAL-SIMULATION; BLOOD-FLOW; WAVE-PROPAGATION; 1D; ALGORITHMS; MODEL; 3D;
D O I
10.1002/cnm.2554
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
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 (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码:698 / 721
页数:24
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