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Bayesian Windkessel calibration using optimized zero-dimensional surrogate models

delete2025-03-13
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PRE
AI
J
Jakob Richter
J
Jonas Nitzler
L
Luca Pegolotti
K
Karthik Menon
J
Jonas Biehler
W
Wolfgang A. Wall
D
Daniele E. Schiavazzi
A
Alison L. Marsden
M
Martin R. Pfaller *
DOI:10.1098/rsta.2024.0223delete
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摘要

摘要

En 中文
Bayesian boundary condition (BC) calibration approaches from clinical measurements have successfully quantified inherent uncertainties in cardiovascular fluid dynamics simulations. However, estimating the posterior distribution for all BC parameters in three-dimensional (3D) simulations has been unattainable due to infeasible computational demand. We propose an efficient method to identify Windkessel parameter posteriors: We only evaluate the 3D model once for an initial choice of BCs and use the result to create a highly accurate zero-dimensional (0D) surrogate. We then perform Sequential Monte Carlo (SMC) using the optimized 0D model to derive the high-dimensional Windkessel BC posterior distribution. Optimizing 0D models to match 3D data a priori lowered their median approximation error by nearly one order of magnitude in 72 publicly available vascular models. The optimized 0D models generalized well to a wide range of BCs. Using SMC, we evaluated the high-dimensional Windkessel parameter posterior for different measured signal-to-noise ratios in a vascular model, which we validated against a 3D posterior. The minimal computational demand of our method using a single 3D simulation, combined with the open-source nature of all software and data used in this work, will increase access and efficiency of Bayesian Windkessel calibration in cardiovascular fluid dynamics simulations.This article is part of the theme issue 'Uncertainty quantification for healthcare and biological systems (Part 1)'.
Keyword:
boundary conditions
cardiovascular
Sequential Monte Carlo
lumped-parameter networks
Bayesian uncertainty quantification

期刊

P
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
IF:
3.7
论文数:
7.8K
被引数:
2.8W

机构

U
University of Notre Dame
学者数:
1.2W
论文数: 1.1W
被引数: 1.7W
S
Stanford University
学者数:
9.6W
论文数: 8.2W
被引数: 17.0W
T
Technical University of Munich
学者数:
5.2W
论文数: 3.9W
被引数: 6.2W
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