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Luca Dede'

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Related publications (37)

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Deep learning-based reduced order models in cardiac electrophysiology

Alfio Quarteroni, Andrea Manzoni, Luca Dede'

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the numerical approximation of coupled nonlinear dynamical systems. These systems describe the cardiac action potential, that is the polarization/depola ...

2020

An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve

Alfio Quarteroni, Luca Dede', Christian Vergara

Systolic Anterior Motion (SAM) of the mitral valve - often associated with Hypertrophic Obstructive Cardiomyopathy (HOCM) - is a cardiac pathology in which a functional subaortic stenosis is induced during systole by the mitral leaflets partially obstructi ...

PERGAMON-ELSEVIER SCIENCE LTD2020

IGS: an IsoGeometric approach for Smoothing on surfaces

Luca Dede', Pierre Wilhelm, Matthieu Wilhelm

We propose a novel approach for smoothing on surfaces. More precisely, we aim at estimating functions lying on a surface, starting from noisy and discrete measurements. The surface is represented by NURBS, which are geometrical representations commonly use ...

Elsevier2016

Optimized numerical solutions of SIRDVW multiage model controlling SARS-CoV-2 vaccine roll out: An application to the Italian scenario

Alfio Quarteroni, Luca Dede', Nicola Parolini

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a funda-mental role for making forecasts, simulating scenarios and evaluating the impact of pre-ventive political, social and pharmaceutical measures. Optimal control theory represent ...

KEAI PUBLISHING LTD2023

Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications

Luca Dede', Alessandro Spadoni, Florian Paul Robert Maurin

Finite deformations of planar slender beams for which shear strain can be neglected are described by the extensible-elastica model, where the strain-displacement relation is geometrically exact and the Biot stress–strain relation is linear. However, if the ...

Springer Verlag2015

Nitsche's method for parabolic Partial Differential Equations with mixed time varying boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate a finite element approximation of an initial boundary value problem associated with parabolic Partial Differential Equations endowed with mixed time varying boundary conditions, switching from essential to natural and vice versa. The switchi ...

EDP Sciences2016

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede'

We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitate ...

Elsevier2015

Isogeometric analysis and proper orthogonal decomposition for parabolic problems

Alfio Quarteroni, Luca Dede'

We investigate the combination of Isogeometric Analysis (IGA) and proper orthogonal decomposition (POD) based on the Galerkin method for model order reduction of linear parabolic partial differential equations. For the proposed fully discrete scheme, the a ...

Springer2017

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

Alfio Quarteroni, Luca Dede', Anna Tagliabue

In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of c ...

Elsevier2014

Whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations

Alfio Quarteroni, Luca Dede', Francesco Regazzoni

Cardiac digital twins provide a physics and physiology informed framework to deliver personalized medicine. However, high-fidelity multi-scale cardiac models remain a barrier to adoption due to their extensive computational costs. Artificial Intelligence-b ...

Nature Portfolio2024

Modelling blood flows in the heart: extended Nitsche's method for the treatment of the valves as generalized boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate the blood flow inside idealized left ventricles with prescribed wall movement by defining a formulation of boundary conditions for the Navier-Stokes equations accounting for the valves. Specifically, we consider an extended Nitsche’s method ...

CMBE, Zeta Computational Resources Ltd.2015

Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation

Alfio Quarteroni, Luca Dede', Christoph Jäggli

In this paper, we carry out a numerical dispersion analysis for the linear two-dimensional elastodynamics equations approximated by means of NURBS-based Isogeometric Analysis in the framework of the Galerkin method; specifically, we consider the analysis o ...

Elsevier2015

A mathematical dashboard for the analysis of Italian COVID-19 epidemic data

Alfio Quarteroni, Luca Dede', Nicola Parolini

An analysis of the COVID-19 epidemic is proposed on the basis of the epiMOX dashboard (publicly accessible at ) that deals with data of the epidemic trends and outbreaks in Italy from late February 2020. Our analysis provides an immediate appreciation of t ...

Wiley2021

Semi-implicit BDF time discretization of the Navier–Stokes equations with VMS-LES modeling in a High Performance Computing framework

Luca Dede', Davide Forti

In this paper, we propose a semi-implicit approach for the time discretization of the Navier–Stokes equations with Variational Multiscale-Large Eddy Simulation turbulence modeling (VMS-LES). For the spatial approximation of the problem, we use the Finite E ...

Elsevier2015

Outer loop and isthmus in ventricular tachycardia circuits: Characteristics and implications

Alfio Quarteroni, Andrea Manzoni, Luca Dede', Stefano Pagani

BACKGROUND The isthmus of ventricular tachycardia (VT) circuits has been extensively characterized. Few data exist regarding the contribution of the outer loop (OL) to the VT circuit. OBJECTIVE The purpose of this study was to characterize the electrophysi ...

2020

B-spline goal-oriented error estimators for geometrically nonlinear rods

Luca Dede'

We consider goal-oriented a posteriori error estimators for the evaluation of the errors on quantities of interest associated with the solution of geometrically nonlinear curved elastic rods. For the numerical solution of these nonlinear one-dimensional pr ...

Springer Verlag2012

Isogeometric Analysis for topology optimization with a phase field model

Luca Dede'

We consider a phase field model for the formulation and solution of topology optimization problems in the minimum compliance case. In this model, the optimal topology is obtained as the steady state of the phase transition described by the generalized Cahn ...

Springer2012