Numerical Approximation of a Control Problem for Advection-Diffusion Processes. - Alfio Quarteroni; Gianluigi Rozza; Luca Dedè; Annalisa Quaini (System Modelling and Optimization, 2005)

Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems. - Luca Dedè (SIAM J. Sci. Comput., 2010)

Reduced Basis Method and Error Estimation for Parametrized Optimal Control Problems with Control Constraints. - Luca Dedè (J. Sci. Comput., 2012)

Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow. - Ju Liu; Luca Dedè; John A. Evans; Michael J. Borden; Thomas J. R. Hughes (J. Comput. Phys., 2013)

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem. - Takahito Kashiwabara; Claudia Maria Colciago; Luca Dedè; Alfio Quarteroni (SIAM J. Numer. Anal., 2015)

Development of a Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation on a Patient Specific Basis. - Alessandro Masci 002; Martino Alessandrini; Luca Dedè; Davide Forti; Filippo Menghini; Corrado Tomasi; Alfio Quarteroni; Cristiana Corsi (CinC, 2017)

A Patient-Specific Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation: Development and Initial Evaluation. - Alessandro Masci 002; Martino Alessandrini; Davide Forti; Filippo Menghini; Luca Dedè; Corrado Tommasi; Alfio Quarteroni; Cristiana Corsi (FIMH, 2017)

Isogeometric analysis and proper orthogonal decomposition for parabolic problems. - Shengfeng Zhu; Luca Dedè; Alfio Quarteroni (Numerische Mathematik, 2017)

Machine learning for fast and reliable solution of time-dependent differential equations. - Francesco Regazzoni 002; Luca Dedè; Alfio Quarteroni (J. Comput. Phys., 2019)

Simulation of the Hemodynamic Effects of the Left Atrial Appendage Occlusion in Atrial Fibrillation: Preliminary Results. - Nadia D'Alessandro; Alessandro Masci 002; Alice Andalò; Luca Dedè; Corrado Tomasi; Alfio Quarteroni; Cristiana Corsi (CinC, 2020)

An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve. - Ivan Fumagalli; Marco Fedele; Christian Vergara; Luca Dedè; Sonia Ippolito; Francesca Nicolò; Carlo Antona; Roberto Scrofani; Alfio Quarteroni (Comput. Biol. Medicine, 2020)

Deep learning-based reduced order models in cardiac electrophysiology. - Stefania Fresca; Andrea Manzoni; Luca Dedè; Alfio Quarteroni (CoRR, 2020)

A Mathematical Dashboard for the Analysis of Italian COVID-19 Epidemic Data. - Nicola Parolini; Giovanni Ardenghi; Luca Dedè; Alfio Quarteroni (CoRR, 2020)

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part I: model derivation. - Francesco Regazzoni 002; Matteo Salvador; Pasquale Claudio Africa; Marco Fedele; Luca Dedè; Alfio Quarteroni (CoRR, 2020)

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation. - Francesco Regazzoni 002; Matteo Salvador; Pasquale Claudio Africa; Marco Fedele; Luca Dedè; Alfio Quarteroni (CoRR, 2020)

A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties. - Paola Gervasio; Luca Dedè; Ondine Chanon; Alfio Quarteroni (J. Sci. Comput., 2020)

Biophysically detailed mathematical models of multiscale cardiac active mechanics. - Francesco Regazzoni 002; Luca Dedè; Alfio Quarteroni (PLoS Comput. Biol., 2020)

Electro-Mechanical Coupling in Human Atrial Cardiomyocytes: Model Development and Analysis of Inotropic Interventions. - Fazeelat Mazhar; Francesco Regazzoni 002; Chiara Bartolucci; Cristiana Corsi; Luca Dedè; Alfio Quarteroni; Stefano Severi (CinC, 2021)

Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia. - Matteo Salvador; Marco Fedele; Pasquale Claudio Africa; Eric Sung; Luca Dedè; Adityo Prakosa; Jonathan Chrispin; Natalia A. Trayanova; Alfio Quarteroni (Comput. Biol. Medicine, 2021)

Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. - Nicolás A. Barnafi; Paolo Zunino; Luca Dedè; Alfio Quarteroni (Comput. Math. Appl., 2021)

Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks. - Matteo Salvador; Luca Dedè; Andrea Manzoni (Comput. Math. Appl., 2021)

SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy. - Nicola Parolini; Luca Dedè; Paola F. Antonietti; Giovanni Ardenghi; Andrea Manzoni; Edie Miglio; Andrea Pugliese 003; Marco Verani; Alfio Quarteroni (CoRR, 2021)

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. - Roberto Piersanti; Pasquale Claudio Africa; Marco Fedele; Christian Vergara; Luca Dedè; Antonio F. Corno; Alfio Quarteroni (CoRR, 2021)

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model. - Alberto Zingaro; Luca Dedè; Filippo Menghini; Alfio Quarteroni (CoRR, 2021)

3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. - Roberto Piersanti; Francesco Regazzoni 002; Matteo Salvador; Antonio F. Corno; Luca Dedè; Christian Vergara; Alfio Quarteroni (CoRR, 2021)

A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system. - Alberto Zingaro; Ivan Fumagalli; Luca Dedè; Marco Fedele; Pasquale Claudio Africa; Antonio Francesco Corno; Alfio Quarteroni (CoRR, 2021)

A machine learning method for real-time numerical simulations of cardiac electromechanics. - Francesco Regazzoni 002; Matteo Salvador; Luca Dedè; Alfio Quarteroni (CoRR, 2021)

A Machine Learning approach to enhance the SUPG stabilization method for advection-dominated differential problems. - Tommaso Tassi; Alberto Zingaro; Luca Dedè (CoRR, 2021)

Accelerating Algebraic Multigrid Methods via Artificial Neural Networks. - Paola F. Antonietti; Matteo Caldana; Luca Dedè (CoRR, 2021)

Modelling the COVID-19 epidemic and the vaccination campaign in Italy by the SUIHTER model. - Nicola Parolini; Luca Dedè; Giovanni Ardenghi; Alfio Quarteroni (CoRR, 2021)

A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs. - Stefania Fresca; Luca Dedè; Andrea Manzoni (J. Sci. Comput., 2021)

A Novel Human Atrial Electromechanical Cardiomyocyte Model with Mechano-Calcium Feedback Effect. - Fazeelat Mazhar; Francesco Regazzoni 002; Chiara Bartolucci; Cristiana Corsi; Luca Dedè; Alfio Quarteroni; Stefano Severi (CinC, 2022)

Impact of atrial fibrillation on left atrium haemodynamics: A computational fluid dynamics study. - Mattia Corti; Alberto Zingaro; Luca Dede'; Alfio Maria Quarteroni (Comput. Biol. Medicine, 2022)

The role of mechano-electric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia. - Matteo Salvador; Francesco Regazzoni 002; Stefano Pagani; Luca Dedè; Natalia A. Trayanova; Alfio Quarteroni (Comput. Biol. Medicine, 2022)

lifex - heart module: a high-performance simulator for the cardiac function. Package 1: Fiber generation. - Pasquale Claudio Africa; Roberto Piersanti; Marco Fedele; Luca Dedè; Alfio Quarteroni (CoRR, 2022)

A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. - Marco Fedele; Roberto Piersanti; Francesco Regazzoni 002; Matteo Salvador; Pasquale Claudio Africa; Michele Bucelli; Alberto Zingaro; Luca Dedè; Alfio Quarteroni (CoRR, 2022)

A mathematical model that integrates cardiac electrophysiology, mechanics and fluid dynamics: application to the human left heart. - Michele Bucelli; Alberto Zingaro; Pasquale Claudio Africa; Ivan Fumagalli; Luca Dede'; Alfio Quarteroni (CoRR, 2022)

Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method. - Alberto Zingaro; Michele Bucelli; Ivan Fumagalli; Luca Dede'; Alfio Quarteroni (CoRR, 2022)

Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods. - Mattia Corti; Paola F. Antonietti; Luca Dede'; Alfio Maria Quarteroni (CoRR, 2022)

A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. - Francesco Regazzoni 002; Matteo Salvador; Pasquale Claudio Africa; Marco Fedele; Luca Dedè; Alfio Quarteroni (J. Comput. Phys., 2022)

A Multiscale Poromechanics Model Integrating Myocardial Perfusion and the Epicardial Coronary Vessels. - Nicolás Alejandro Barnafi Wittwer; Simone Di Gregorio; Luca Dedè; Paolo Zunino; Christian Vergara; Alfio Quarteroni (SIAM J. Appl. Math., 2022)

Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease. - Mattia Corti; Paola F. Antonietti; Francesca Bonizzoni; Luca Dede'; Alfio Quarteroni (CoRR, 2023)

A comprehensive mathematical model for cardiac perfusion. - Alberto Zingaro; Christian Vergara; Luca Dede'; Francesco Regazzoni 002; Alfio Quarteroni (CoRR, 2023)

lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications. - Pasquale Claudio Africa; Ivan Fumagalli; Michele Bucelli; Alberto Zingaro; Luca Dede'; Alfio Quarteroni (CoRR, 2023)

Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes. - Francesco Regazzoni 002; Stefano Pagani; Matteo Salvador; Luca Dede'; Alfio Quarteroni (CoRR, 2023)

A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system. - Andrea Tonini; Christian Vergara; Francesco Regazzoni 002; Luca Dede'; Roberto Scrofani; Chiara Cogliati; Alfio Quarteroni (CoRR, 2023)

Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: application to cardiac electromechanics. - Michele Bucelli; Francesco Regazzoni 002; Luca Dedè; Alfio Quarteroni (CoRR, 2023)

Real-time whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations. - Matteo Salvador; Marina Strocchi; Francesco Regazzoni 002; Luca Dede'; Steven A. Niederer; Alfio Quarteroni (CoRR, 2023)

Spline Upwind for space-time Isogeometric Analysis of cardiac electrophysiology. - Paola F. Antonietti; Luca Dedè; Gabriele Loli; Giancarlo Sangalli; Paolo Tesini (CoRR, 2023)

Fast and robust parameter estimation with uncertainty quantification for the cardiac function. - Matteo Salvador; Francesco Regazzoni 002; Luca Dede'; Alfio Quarteroni (Comput. Methods Programs Biomed., 2023)

A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. - Pasquale Claudio Africa; Matteo Salvador; Paola Gervasio; Luca Dedè; Alfio Quarteroni (J. Comput. Phys., 2023)

lifex-fiber: an open tool for myofibers generation in cardiac computational models. - Pasquale Claudio Africa; Roberto Piersanti; Marco Fedele; Luca Dede'; Alfio Quarteroni (BMC Bioinform., 2023)

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations. - Pasquale Claudio Africa; Roberto Piersanti; Francesco Regazzoni 002; Michele Bucelli; Matteo Salvador; Marco Fedele; Stefano Pagani; Luca Dede'; Alfio Quarteroni (BMC Bioinform., 2023)

A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs. - Matteo Caldana; Paola F. Antonietti; Luca Dede' (Comput. Math. Appl., 2024)

An integrated heart-torso electromechanical model for the simulation of electrophysiogical outputs accounting for myocardial deformation. - Elena Zappon; Matteo Salvador; Roberto Piersanti; Francesco Regazzoni 002; Luca Dede'; Alfio Quarteroni (CoRR, 2024)

Two new calibration techniques of lumped-parameter mathematical models for the cardiovascular system. - Andrea Tonini; Francesco Regazzoni 002; Matteo Salvador; Luca Dede'; Roberto Scrofani; Laura Fusini; Chiara Cogliati; Gianluca Pontone; Christian Vergara; Alfio Quarteroni (CoRR, 2024)

Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium. - Samuele Brunati; Michele Bucelli; Roberto Piersanti; Luca Dede'; Christian Vergara (CoRR, 2024)

lifex-cfd: An open-source computational fluid dynamics solver for cardiovascular applications. - Pasquale Claudio Africa; Ivan Fumagalli; Michele Bucelli; Alberto Zingaro; Marco Fedele; Luca Dede'; Alfio Quarteroni (Comput. Phys. Commun., 2024)

An electromechanics-driven fluid dynamics model for the simulation of the whole human heart. - Alberto Zingaro; Michele Bucelli; Roberto Piersanti; Francesco Regazzoni 002; Luca Dede'; Alfio Quarteroni (J. Comput. Phys., 2024)

Whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations. - Matteo Salvador; Marina Strocchi; Francesco Regazzoni 002; Christoph M. Augustin; Luca Dede'; Steven A. Niederer; Alfio Quarteroni (npj Digit. Medicine, 2024)

Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems. - Michele Bucelli; Francesco Regazzoni 002; Luca Dede'; Alfio Quarteroni (SIAM J. Sci. Comput., 2024)

Defining myocardial fiber bundle architecture in atrial digital twins. - Roberto Piersanti; Ryan P. Bradley; Syed Yusuf Ali; Alfio Quarteroni; Luca Dede'; Natalia A. Trayanova (Comput. Biol. Medicine, 2025)

Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning. - Matteo Caldana; Paola F. Antonietti; Luca Dede' (J. Comput. Phys., 2025)

SEIHRDV: a multi-age multi-group epidemiological model and its validation on the COVID-19 epidemics in Italy. - Luca Dede'; Nicola Parolini; Alfio Quarteroni; Giulia Villani; Giovanni Ziarelli (CoRR, 2025)

Enhanced uncertainty quantification variational autoencoders for the solution of Bayesian inverse problems. - Andrea Tonini; Luca Dede' (CoRR, 2025)

Influence of cellular mechano-calcium feedback in numerical models of cardiac electromechanics. - Irena Radisic; Francesco Regazzoni 002; Michele Bucelli; Stefano Pagani; Luca Dede'; Alfio Quarteroni (CoRR, 2025)

Coupling models of resistive valves to muscle mechanics in cardiac fluid-structure interaction simulations. - Michele Bucelli; Luca Dede' (CoRR, 2025)