Search Results for author: Alfio Quarteroni

Found 10 papers, 2 papers with code

Physics-informed Neural Network Estimation of Material Properties in Soft Tissue Nonlinear Biomechanical Models

no code implementations15 Dec 2023 Federica Caforio, Francesco Regazzoni, Stefano Pagani, Elias Karabelas, Christoph Augustin, Gundolf Haase, Gernot Plank, Alfio Quarteroni

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data.

Real-time whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations

no code implementations8 Jun 2023 Matteo Salvador, Marina Strocchi, Francesco Regazzoni, Luca Dede', Steven Niederer, Alfio Quarteroni

The trained LNODEs provides a compact and efficient representation of the 3D-0D model in a latent space by means of a feedforward fully-connected Artificial Neural Network that retains 3 hidden layers with 13 neurons per layer and allows for 300x real-time numerical simulations of the cardiac function on a single processor of a standard laptop.

Uncertainty Quantification

Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes

no code implementations28 Apr 2023 Francesco Regazzoni, Stefano Pagani, Matteo Salvador, Luca Dede', Alfio Quarteroni

We propose a novel architecture, named Latent Dynamics Network (LDNet), which is able to discover low-dimensional intrinsic dynamics of possibly non-Markovian dynamical systems, thus predicting the time evolution of space-dependent fields in response to external inputs.

Dimensionality Reduction

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

no code implementations26 Jan 2021 Roberto Piersanti, Pasquale C. Africa, Marco Fedele, Christian Vergara, Luca Dedè, Antonio F. Corno, Alfio Quarteroni

Next we propose, for the first time, a LDRBM to be used for generating atrial fibers.

Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation

no code implementations30 Nov 2020 Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Marco Fedele, Luca Dede', Alfio Quarteroni

In the framework of accurate and efficient segregated schemes for 3D cardiac electromechanics and 0D cardiovascular models, we propose here a novel numerical approach to address the coupled 3D-0D problem introduced in Part I of this two-part series of papers.

Numerical Analysis Numerical Analysis

A Mathematical Dashboard for the Analysis of Italian COVID-19 Epidemic Data

no code implementations22 Nov 2020 Nicola Parolini, Giovanni Ardenghi, Luca Dede', Alfio Quarteroni

An analysis of the COVID-19 epidemic is proposed on the basis of the epiMOX dashboard (publicly accessible at https://www. epimox. polimi. it) that deals with data of the epidemic trends and outbreaks in Italy from late February 2020.

Deep learning-based reduced order models in cardiac electrophysiology

1 code implementation2 Jun 2020 Stefania Fresca, Andrea Manzoni, Luca Dedè, Alfio Quarteroni

These systems describe the cardiac action potential, that is the polarization/depolarization cycle occurring at every heart beat that models the time evolution of the electrical potential across the cell membrane, as well as a set of ionic variables.

Biophysically detailed mathematical models of multiscale cardiac active mechanics

1 code implementation16 Apr 2020 Francesco Regazzoni, Luca Dedè, Alfio Quarteroni

We propose four novel mathematical models, describing the microscopic mechanisms of force generation in the cardiac muscle tissue, which are suitable for multiscale numerical simulations of cardiac electromechanics.

Computational Efficiency

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