Publications

Giovanni Ziarelli, Stefano Pagani, Nicola Parolini, Francesco Regazzoni, Marco Verani (2025). A model learning framework for inferring the dynamics of transmission rate depending on exogenous variables for epidemic forecasts. Computer Methods in Applied Mechanics and Engineering.

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Francesco Regazzoni (2025). Stabilization of staggered time discretization schemes for 0D-3D fluid-structure interaction problems. Numerische Mathematik.

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Alfio Quarteroni, Paola Gervasio, Francesco Regazzoni (2025). Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning. Mathematical Models and Methods in Applied Sciences.

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Francesco Giardini, Camilla Olianti, Gerrit Adam Marchal, Fernando Campos, Joshua Steyer, Josef Madl, Roberto Piersanti, Giulia Arecchi, Induja Perumal Vanaja, Valentina Biasci, Gabriella Nesi, Leslie Loew, Elisabetta Cerbai, Stephen Chelko, Francesco Regazzoni, Axel Loewe, Martin Bishop, Marco Mongillo, Peter Kohl, Tania Zaglia, Callum Michael Johnston, Leonardo Sacconi (2025). Cardiac fibrosis affects electrical conduction and arrhythmogenesis in a pacing-rate-dependent manner. (under review).

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Reidmen Aróstica, David Nolte, Aaron Brown, Amadeus Gebauer, Elias Karabelas, Javiera Jilberto, Matteo Salvador, Michele Bucelli, Roberto Piersanti, Kasra Osouli, Christoph Augustin, Henrik Finsberg, Lei Shi, Marc Hirschvogel, Martin Pfaller, Pasquale Claudio Africa, Matthias Gsell, Alison Marsden, David Nordsletten, Francesco Regazzoni, Gernot Plank, Joakim Sundnes, Luca Dede', Mathias Peirlinck, Vijay Vedula, Wolfgang Wall, Cristóbal Bertoglio (2025). A software benchmark for cardiac elastodynamics. Computer Methods in Applied Mechanics and Engineering.

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Andrea Tonini, Francesco Regazzoni, Matteo Salvador, Luca Dede', Roberto Scrofani, Laura Fusini, Chiara Cogliati, Gianluca Pontone, Christian Vergara, Alfio Quarteroni (2025). Two new calibration techniques of lumped-parameter mathematical models for the cardiovascular system. Journal for Numerical Methods in Engineering.

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Francesco Regazzoni, Corrado Poggesi, Cecilia Ferrantini (2024). Elucidating the cellular determinants of the end-systolic pressure-volume relationship of the heart via computational modelling. (under review).

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Francesco Regazzoni (2024). An optimally convergent Fictitious Domain method for interface problems. Computer Methods in Applied Mechanics and Engineering.

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Linying Zhang, Stefano Pagani, Jun Zhang, Francesco Regazzoni (2024). Shape-informed surrogate models based on signed distance function domain encoding. (under review).

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Michele Bucelli, Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2024). Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems. SIAM Journal on Scientific Computing.

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Emilia Capuano, Francesco Regazzoni, Massimiliano Maines, Silvia Fornara, Vanessa Locatelli, Domenico Catanzariti, Simone Stella, Fabio Nobile, Maurizio Del Greco, Christian Vergara (2024). Personalized Computational Electro-mechanics Simulations to Optimize Cardiac Resynchronization Therapy. Biomechanics and Modeling in Mechanobiology.

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Federica Caforio, Francesco Regazzoni, Stefano Pagani, Elias Karabelas, Christoph Augustin, Gundolf Haase, Gernot Plank, Alfio Quarteroni (2024). Physics-informed Neural Network Estimation of Material Properties in Soft Tissue Nonlinear Biomechanical Models. Computational Mechanics.

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Giovanni Montino Pelagi, Francesco Regazzoni, Jacques M Huyghe, Andrea Baggiano, Marco Alì, Silvia Bertoluzza, Giovanni Valbusa, Gianluca Pontone, Christian Vergara (2024). Modeling cardiac microcirculation for the simulation of coronary flow and 3D myocardial perfusion. Biomechanics and Modeling in Mechanobiology.

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Elena Zappon, Matteo Salvador, Roberto Piersanti, Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2024). An integrated heart-torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation. Computer Methods in Applied Mechanics and Engineering.

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Luca Dede', Michele Bucelli, Stefano Pagani, Rroberto Piersanti, Francesco Regazzoni, Andrea Tonini, Alfio Quarteroni (2024). Advanced multiphysics and multiscale cardiac models: bridging numerical simulations with digital twins for human heart simulation. Proceedings of the 8th International Conference on Computational and Mathematical Biomedical Engineering.

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

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Andrea Tonini, Christian Vergara, Francesco Regazzoni, Luca Dede', Roberto Scrofani, Chiara Cogliati, Alfio Quarteroni (2024). A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system. Scientific Reports (Nature).

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Nicolas Alejandro Barnafi, Francesco Regazzoni, Davide Riccobelli (2024). Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling. Computer Methods in Applied Mechanics and Engineering.

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

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Francesco Regazzoni, Stefano Pagani, Matteo Salvador, Luca Dede', Alfio Quarteroni (2024). Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks. Nature Communications.

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Giovanni Montino Pelagi, Andrea Baggiano, Francesco Regazzoni, Laura Fusini, Marco Alì, Gianluca Pontone, Giovanni Valbusa, Christian Vergara (2024). Personalized pressure conditions and calibration for a predictive computational model of coronary and myocardial blood flow. Annals of Biomedical Engineering.

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

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Alberto Zingaro, Christian Vergara, Luca Dede', Francesco Regazzoni, Alfio Quarteroni (2023). A comprehensive mathematical model for cardiac perfusion. Scientific Reports (Nature).

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Fazeelat Mazhar, Chiara Bartolucci, Francesco Regazzoni, Michelangelo Paci, Luca Dede', Alfio Quarteroni, Cristiana Corsi, Stefano Severi (2023). A detailed mathematical model of the human atrial cardiomyocyte: integration of electrophysiology and cardiomechanics. The Journal of Physiology.

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Lorenzo Ruffino, Arianna Santoro, Sirja Sparvieri, Francesco Regazzoni, Dilachew Adebo, Alfio Quarteroni, Christian Vergara, Antonio Corno (2023). Computational analysis of cardiovascular effects of COVID-19 infection in children. Journal of Pediatric Advance Research.

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Michele Bucelli, Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2023). Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: application to cardiac electromechanics. Computer Methods in Applied Mechanics and Engineering.

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Marco Fedele, Roberto Piersanti, Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Michele Bucelli, Alberto Zingaro, Luca Dede', Alfio Quarteroni (2023). A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. Computer Methods in Applied Mechanics and Engineering.

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Alfio Quarteroni, Luca Dede', Francesco Regazzoni, Christian Vergara (2023). A mathematical model of the human heart suitable to address clinical problems. Japan Journal of Industrial and Applied Mathematics.

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Ludovica Cicci, Stefania Fresca, Elena Zappon, Stefano Pagani, Francesco Regazzoni, Luca Dede', Andrea Manzoni, Alfio Quarteroni (2023). Chapter 21 - Reduced order modeling of the cardiac function across the scales. Reduced Order Models for the Biomechanics of Living Organs.

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Francesco Regazzoni, Stefano Pagani, Alfio Quarteroni (2022). Universal Solution Manifold Networks (USM-Nets): non-intrusive mesh-free surrogate models for problems in variable domains. Journal of Biomedical Engineering.

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Fazeelat Mazhar, Francesco Regazzoni, Chiara Bartolucci, Cristiana Corsi, Luca Dede', Alfio Quarteroni, Stefano Severi (2022). A Novel Human Atrial Electromechanical Cardiomyocyte Model with Mechano-Calcium Feedback Effect. CINC Proceedings.

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Stefano Pagani, Francesco Regazzoni, Matteo Salvador, Daniel Fraulin, Filippo Zacchei, Alfio Quarteroni (2022). Physics-informed Neural Networks for parameter estimation in cardiac mechanics. ARGESIM Report (Proceedings of MATHMOD Vienna).

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Francesco Regazzoni, Matteo Salvador, Luca Dede', Alfio Quarteroni (2022). Neural networks based real-time simulations of cardiac electromechanics. ARGESIM Report (Proceedings of MATHMOD Vienna).

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Matteo Salvador, Francesco Regazzoni, Stefano Pagani, Luca Dede', Alfio Quarteroni (2022). Electromechanical modeling of cardiac arrhythmias. ARGESIM Report (Proceedings of MATHMOD Vienna).

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Simone Stella, Francesco Regazzoni, Christian Vergara, Luca Dede', Alfio Quarteroni (2022). A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations. Mathematical Models and Methods in Applied Sciences.

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Stefano Pagani, Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2022). Non-intrusive and mesh-free neural network models of parametrized differential equations with variable geometry. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering.

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Luca Dede', Pasquale Claudio Africa, Michele Bucelli, Marco Fedele, Roberto Piersanti, Alfio Quarteroni, Francesco Regazzoni, Matteo Salvador, Alberto Zingaro (2022). Multiphysics and multiscale models for the numerical simulation of the cardiac function. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering.

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Francesco Regazzoni, Matteo Salvador, Luca Dede', Alfio Quarteroni (2022). Machine learning based real-time simulation of the cardiac electromechanical function enabling global sensitivity analysis and bayesian parameter estimation. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering.

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Marco Fedele, Roberto Piersanti, Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Michele Bucelli, Luca Dede', Alfio Quarteroni (2022). An electromechanical model of the entire human heart coupled with a lumped parameters model of the circulatory system. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering.

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Roberto Piersanti, Francesco Regazzoni, Matteo Salvador, Luca Dede', Christian Vergara, Alfio Quarteroni (2022). A physiologically detailed 3D-0D closed-loop model for the simulation of cardiac electromechanics. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering.

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Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Marco Fedele, Luca Dede', Alfio Quarteroni (2022). A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. Journal of Computational Physics.

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Francesco Regazzoni, Matteo Salvador, Luca Dede', Alfio Quarteroni (2022). A machine learning method for real-time numerical simulations of cardiac electromechanics. Computer Methods in Applied Mechanics and Engineering.

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Matteo Salvador, Francesco Regazzoni, Stefano Pagani, Luca Dede', Natalia Trayanova, Alfio Quarteroni (2022). The role of mechano-electric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia. Computers in Biology and Medicine.

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Matteo Salvador, Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2022). Fast and robust parameter estimation with uncertainty quantification for the cardiac function. Computer Methods and Programs in Biomedicine.

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Roberto Piersanti, Francesco Regazzoni, Matteo Salvador, Antonio F Corno, Christian Vergara, Alfio Quarteroni (2022). 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. Computer Methods in Applied Mechanics and Engineering.

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Alfio Quarteroni, Luca Dede', Francesco Regazzoni (2022). Modeling the cardiac electromechanical function: a mathematical journey. Bulletin of the American Mathematical Society.

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Francesco Regazzoni, Stefano Pagani, Alessandro Cosenza, Alessandro Lombardi, Alfio Quarteroni (2021). A physics-informed multi-fidelity approach for the estimation of differential equations parameters in low-data or large-noise regimes. Rendiconti Lincei - Matematica e Applicazioni.

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Fazeelat Mazhar, Francesco Regazzoni, Chiara Bartolucci, Cristiana Corsi, Luca Dede', Alfio Quarteroni, Stefano Severi (2021). Electro-Mechanical Coupling in Human Atrial Cardiomyocytes: Model Development and Analysis of Inotropic Interventions. Computing in Cardiology Proceedings.

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Francesco Regazzoni, Alfio Quarteroni (2021). Accelerating the convergence to a limit cycle in 3D cardiac electromechanical simulations through a data-driven 0D emulator. Computers in Biology and Medicine.

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Luca Dede', Alfio Quarteroni, Francesco Regazzoni (2021). Mathematical and numerical models for the cardiac electromechanical function. Rendiconti Lincei - Matematica e Applicazioni.

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Luca Dede', Francesco Regazzoni, Christian Vergara, Paolo Zunino, Marco Guglielmo, Roberto Scrofani, Laura Fusini, Chiara Cogliati, Gianluca Pontone, Alfio Quarteroni (2021). Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study. Mathematical Biosciences and Engineering.

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Francesco Regazzoni, Dominique Chapelle, Philippe Moireau (2021). Combining Data Assimilation and Machine Learning to build data-driven models for unknown long time dynamics - Applications in cardiovascular modeling. International Journal for Numerical Methods in Biomedical Engineering.

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Francesco Regazzoni, Alfio Quarteroni (2021). An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics. Computer Methods in Applied Mechanics and Engineering.

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Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2020). Biophysically detailed mathematical models of multiscale cardiac active mechanics. PLOS Computational Biology.

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Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2020). Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics. Computer Methods in Applied Mechanics and Engineering.

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Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2020). Active force generation in cardiac muscle cells: mathematical modeling and numerical simulation of the actin-myosin interaction. Vietnam Journal of Mathematics.

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Francesco Regazzoni (2020). Mathematical modeling and Machine Learning for the numerical simulation of cardiac electromechanics. PhD Thesis, Politecnico di Milano.

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Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2019). Machine learning for fast and reliable solution of time-dependent differential equations. Journal of Computational Physics.

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Francesco Regazzoni, Nicola Parolini, Marco Verani (2018). Topology optimization of multiple anisotropic materials, with application to self-assembling diblock copolymers. Computer Methods in Applied Mechanics and Engineering.

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Francesco Regazzoni, Luca Dede', Alfio Quarteroni (2018). Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions. Biomechanics and Modeling in Mechanobiology.

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Matteo Bruggi, Nicola Parolini, Francesco Regazzoni, Marco Verani (2018). Topology optimization with a time-integral cost functional. Finite Elements in Analysis & Design.

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Matteo Bruggi, Nicola Parolini, Francesco Regazzoni, Marco Verani (2016). Finite element approximation of a time-dependent topology optimization problem. Proceedings of ECCOMAS.

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