PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology

Data driven approximation of parametrized PDEs by reduced basis and neural networks

(2020) Niccolò Dal Santo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

(2020) Roberto Piersanti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction

(2019) Youngsoo Choi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

(2019) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Non-intrusive reduced order modeling of nonlinear problems using neural networks

(2018) J.S. Hesthaven et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Validation and Opportunities of Electrocardiographic Imaging: From Technical Achievements to Clinical Applications

(2018) Matthijs Cluitmans et al.   Frontiers in Physiology

Tracking the Position of the Heart From Body Surface Potential Maps and Electrograms

(2018) Jaume Coll-Font et al.   Frontiers in Physiology

Evaluation of Fifteen Algorithms for the Resolution of the Electrocardiography Imaging Inverse Problem Using ex-vivo and in-silico Data

(2018) Amel Karoui et al.   Frontiers in Physiology

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Noninvasive Personalization of a Cardiac Electrophysiology Model From Body Surface Potential Mapping

(2017) Sophie Giffard-Roisin et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING

Forward Problem of Electrocardiography

(2015) Laura R. Bear et al.   Circulation-Arrhythmia and Electrophysiology

Detailed Anatomical and Electrophysiological Models of Human Atria and Torso for the Simulation of Atrial Activation

(2015) Ana Ferrer et al.   PLoS One

Noninvasive reconstruction of cardiac electrical activity: update on current methods, applications and challenges

(2015) M.J.M. Cluitmans et al.   Netherlands Heart Journal

A High-Resolution Atlas and Statistical Model of the Human Heart From Multislice CT

(2012) C. Hoogendoorn et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

(2011) N. Halko et al.   SIAM REVIEW

Mathematical Modeling of Electrocardiograms: A Numerical Study

(2009) Muriel Boulakia et al.   ANNALS OF BIOMEDICAL ENGINEERING

Resolution Strategies for the Finite-Element-Based Solution of the ECG Inverse Problem

(2009) Dafang Wang et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING

ECG Denoising and Compression Using a Modified Extended Kalman Filter Structure

(2008) O. Sayadi et al.   IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING