Efficient approximation of cardiac mechanics through reduced‐order modeling with deep learning‐based operator approximation

A matrix–free high–order solver for the numerical solution of cardiac electrophysiology

(2023) P.C. Africa et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Approximation bounds for convolutional neural networks in operator learning

(2023) Nicola Rares Franco et al.   NEURAL NETWORKS

Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression

(2023) Ludovica Cicci et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators

(2023) Marina Strocchi et al.   PLoS Computational Biology

A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation

(2022) F. Regazzoni et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Sensitivity analysis and inverse uncertainty quantification for the left ventricular passive mechanics

(2022) Alan Lazarus et al.   Biomechanics and Modeling in Mechanobiology

A machine learning method for real-time numerical simulations of cardiac electromechanics

(2022) F. Regazzoni et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity

(2022) Elias Karabelas et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Deep learning‐based reduced order models for the real‐time simulation of the nonlinear dynamics of microstructures

(2022) Stefania Fresca et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Emulation of cardiac mechanics using Graph Neural Networks

(2022) David Dalton et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Deep-HyROMnet: A Deep Learning-Based Operator Approximation for Hyper-Reduction of Nonlinear Parametrized PDEs

(2022) Ludovica Cicci et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs

(2021) Stefania Fresca et al.   JOURNAL OF SCIENTIFIC COMPUTING

Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia

(2021) Matteo Salvador et al.   COMPUTERS IN BIOLOGY AND MEDICINE

POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition

(2021) Stefania Fresca et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A computationally efficient physiologically comprehensive 3D–0D closed-loop model of the heart and circulation

(2021) Christoph M. Augustin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Using parametric model order reduction for inverse analysis of large nonlinear cardiac simulations

(2020) M. R. Pfaller et al.   International Journal for Numerical Methods in Biomedical Engineering

A matrix‐free approach for finite‐strain hyperelastic problems using geometric multigrid

(2020) Denis Davydov et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Deep Learning Over Reduced Intrinsic Domains for Efficient Mechanics of the Left Ventricle

(2020) Gonzalo D. Maso Talou et al.   Frontiers in Physics

Uncertainty quantification and sensitivity analysis of left ventricular function during the full cardiac cycle

(2020) J. O. Campos et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Predicting left ventricular contractile function via Gaussian process emulation in aortic-banded rats

(2020) S. Longobardi et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

The deal.II Library, Version 9.2

(2020) Daniel Arndt et al.   Journal of Numerical Mathematics

Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics

(2020) F. Regazzoni et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Deep learning-based reduced order models in cardiac electrophysiology

(2020) Stefania Fresca et al.   PLoS One

Uncertainty in cardiac myofiber orientation and stiffnesses dominate the variability of left ventricle deformation response

(2019) Rocío Rodríguez-Cantano et al.   International Journal for Numerical Methods in Biomedical Engineering

Gaussian process emulation to accelerate parameter estimation in a mechanical model of the left ventricle: a critical step towards clinical end-user relevance

(2019) Umberto Noè et al.   Journal of the Royal Society Interface

Prediction of Left Ventricular Mechanics Using Machine Learning

(2019) Yaghoub Dabiri et al.   Frontiers in Physics

Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: Effect of mechanical parameters on physiologically relevant biomarkers

(2019) F. Levrero-Florencio et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

(2018) Stefano Pagani et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Fast uncertainty quantification of activation sequences in patient-specific cardiac electrophysiology meeting clinical time constraints

(2018) A. Quaglino et al.   International Journal for Numerical Methods in Biomedical Engineering

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

(2018) Benjamin Peherstorfer et al.   SIAM REVIEW

Gaussian Process Regressions for Inverse Problems and Parameter Searches in Models of Ventricular Mechanics

(2018) Paolo Di Achille et al.   Frontiers in Physiology

Computational models in cardiology

(2018) Steven A. Niederer et al.   Nature Reviews Cardiology

Advances in computational modelling for personalised medicine after myocardial infarction

(2017) Kenneth Mangion et al.   HEART

Uncertainty quantification of 2 models of cardiac electromechanics

(2017) Daniel E. Hurtado et al.   International Journal for Numerical Methods in Biomedical Engineering

A monolithic 3D-0D coupled closed-loop model of the heart and the vascular system: Experiment-based parameter estimation for patient-specific cardiac mechanics

(2017) Marc Hirschvogel et al.   International Journal for Numerical Methods in Biomedical Engineering

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

(2017) A. Quarteroni et al.   ACTA NUMERICA

Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation

(2016) Christoph M. Augustin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Using physiologically based models for clinical translation: predictive modelling, data interpretation or something in-between?

(2016) Steven A. Niederer et al.   JOURNAL OF PHYSIOLOGY-LONDON

Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics

(2016) Radomir Chabiniok et al.   Interface Focus

A high-resolution computational model of the deforming human heart

(2015) Viatcheslav Gurev et al.   Biomechanics and Modeling in Mechanobiology

Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour

(2015) Sander Land et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme

(2014) Jonas Biehler et al.   Biomechanics and Modeling in Mechanobiology

A Novel Rule-Based Algorithm for Assigning Myocardial Fiber Orientation to Computational Heart Models

(2012) J. D. Bayer et al.   ANNALS OF BIOMEDICAL ENGINEERING

Uncertainty Analysis of Ventricular Mechanics Using the Probabilistic Collocation Method

(2012) H. Osnes et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING

Coupled electromechanical model of the heart: Parallel finite element formulation

(2012) Pierre Lafortune et al.   International Journal for Numerical Methods in Biomedical Engineering

Computational Medicine: Translating Models to Clinical Care

(2012) R. L. Winslow et al.   Science Translational Medicine

Whole-Heart Modeling

(2011) Natalia A. Trayanova   CIRCULATION RESEARCH

Active Stress vs. Active Strain in Mechanobiology: Constitutive Issues

(2011) D. Ambrosi et al.   JOURNAL OF ELASTICITY

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Electromechanics of the heart: a unified approach to the strongly coupled excitation–contraction problem

(2009) Serdar Göktepe et al.   COMPUTATIONAL MECHANICS

Coupling multi-physics models to cardiac mechanics

(2009) D.A. Nordsletten et al.   PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY

A general multipurpose interpolation procedure: the magic points

(2008) Yvon Maday et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

The arterial Windkessel

(2008) Nico Westerhof et al.   MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING