Publications

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

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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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Matteo Salvador, Marina Strocchi, Francesco Regazzoni, Luca Dede', Steven 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. Nature - Scientific Reports.

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Nicolás 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. Nature - Scientific Reports.

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Fazeelat Mazhar, Chiara Bartolucci, Francesco Regazzoni, 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. Computing in Cardiology.

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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.

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

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

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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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Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Marco Fedele, Luca Dede', Alfio Quarteroni (2022). A cardiac electromechanical model coupled with a lumped parameters 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, Luca Dede', 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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Francesco Regazzoni (2022). Stabilization of staggered time discretization schemes for 0D-3D fluid-structure interaction problems. (under review).

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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.

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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', Francesco Regazzoni, Alfio Quarteroni (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, Philippe Moireau, Dominique Chapelle (2021). Combining Data Assimilation and Machine Learning to build data-driven models for unknown long time dynamics - Applications in cardiac 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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Luca Dede', Alfio Quarteroni, Francesco Regazzoni (2020). Metodo implementato mediante computer per la generazione di un modello matematico a complessità computazionale ridotta (patent). UIBM - Ufficio Italiano Brevetti e Marchi.

Project

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 and 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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