The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
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
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 …
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 …
to the level of detail and accuracy provided by a predictive model or simulation. Generally …
Issues in deciding whether to use multifidelity surrogates
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 …
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
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
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 …
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
Optimization and uncertainty quantification have been playing an increasingly important role
in computational hemodynamics. However, existing methods based on principled modeling …
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
Quantifying biomechanical properties of the human vasculature could deepen our
understanding of cardiovascular diseases. Standard nonlinear regression in constitutive …
understanding of cardiovascular diseases. Standard nonlinear regression in constitutive …
[HTML][HTML] Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters
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 …
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 …
predictive data-driven surrogates for stochastic systems. Leveraging recent advances in …