The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

[HTML][HTML] Mechanisms of aortic dissection: from pathological changes to experimental and in silico models

M Rolf-Pissarczyk, R Schussnig, TP Fries… - Progress in Materials …, 2024 - Elsevier
Aortic dissection continues to be responsible for significant morbidity and mortality, although
recent advances in medical data assimilation and in experimental and in silico models have …

Review of multi-fidelity models

MG Fernández-Godino - arXiv preprint arXiv:1609.07196, 2016 - arxiv.org
This article provides an overview of multi-fidelity modeling trends. Fidelity in modeling refers
to the level of detail and accuracy provided by a predictive model or simulation. Generally …

Issues in deciding whether to use multifidelity surrogates

M Giselle Fernández-Godino, C Park, NH Kim… - Aiaa Journal, 2019 - arc.aiaa.org
Multifidelity surrogates are essential in cases where it is not affordable to have more than a
few high-fidelity samples, but it is affordable to have as many low-fidelity samples as …

[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications

VG Eck, WP Donders, J Sturdy… - … journal for numerical …, 2016 - Wiley Online Library
As we shift from population‐based medicine towards a more precise patient‐specific regime
guided by predictions of verified and well‐established cardiovascular models, an urgent …

[HTML][HTML] Deep learning-based surrogate model for three-dimensional patient-specific computational fluid dynamics

P Du, X Zhu, JX Wang - Physics of Fluids, 2022 - pubs.aip.org
Optimization and uncertainty quantification have been playing an increasingly important role
in computational hemodynamics. However, existing methods based on principled modeling …

A generative modeling framework for inferring families of biomechanical constitutive laws in data-sparse regimes

M Yin, Z Zou, E Zhang, C Cavinato… - Journal of the …, 2023 - Elsevier
Quantifying biomechanical properties of the human vasculature could deepen our
understanding of cardiovascular diseases. Standard nonlinear regression in constitutive …

[HTML][HTML] Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters

P Hauseux, JS Hale, S Cotin, SPA Bordas - Applied Mathematical …, 2018 - Elsevier
We present a simple open-source semi-intrusive computational method to propagate
uncertainties through hyperelastic models of soft tissues. The proposed method is up to two …

Conditional deep surrogate models for stochastic, high-dimensional, and multi-fidelity systems

Y Yang, P Perdikaris - Computational Mechanics, 2019 - Springer
We present a probabilistic deep learning methodology that enables the construction of
predictive data-driven surrogates for stochastic systems. Leveraging recent advances in …