23 citations · 26 across the 9 of their papers we have counts for
9 papers
Digital Twins in Coronary Artery Disease: A Mathematical Roadmap
Alessandro Veneziani, Annalisa Quaini, Marco Tezzele +2
The combination of data and models, enhanced by AI methodologies, leads to the paradigm called Digital Twins. This concept is expected to bring unprecedented support to personalize…
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling
Shady E. Ahmed, Omer San, Adil Rasheed +2
We propose a new physics guided machine learning (PGML) paradigm that leverages the variational multiscale (VMS) framework and available data to dramatically increase the accuracy…
Modeling of Asymptotically Periodic Outbreaks: a long-term SIRW2 description of COVID-19?
Alex Viguerie, Margherita Carletti, Alessandro Veneziani +1
As the outbreak of COVID-19 enters its third year, we have now enough data to analyse the behavior of the pandemic with mathematical models over a long period of time. The pandemic…
A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media
Alex Viguerie, Silvia Bertoluzza, Alessandro Veneziani +1
Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in le…
Simulating the spread of COVID-19 via spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion
Alex Viguerie, Guillermo Lorenzo, Ferdinando Auricchio +6
We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous dif…
Patient-Specific 3D Volumetric Reconstruction of Bioresorbable Stents: A Method to Generate 3D Geometries for Computational Analysis of Coronaries Treated with Bioresorbable Stents
Boyi Yang, Marina Piccinelli, Gaetano Esposito +6
As experts continue to debate the optimal surgery practice for coronary disease - percutaneous coronary intervention (PCI) or coronary aortic bypass graft (CABG) - computational to…
Computational methods in cardiovascular mechanics
Ferdinando Auricchio, Michele Conti, Adrian Lefieux +4
The introduction of computational models in cardiovascular sciences has been progressively bringing new and unique tools for the investigation of the physiopathology. Together with…
The LifeV library: engineering mathematics beyond the proof of concept
Luca Bertagna, Simone Deparis, Luca Formaggia +2
LifeV is a library for the finite element (FE) solution of partial differential equations in one, two, and three dimensions. It is written in C++ and designed to run on diverse par…
Efficient Estimation of Cardiac Conductivities via POD-DEIM Model Order Reduction
Huanhuan Yang, Alessandro Veneziani
Clinical oriented applications of computational electrocardiology require efficient and reliable identification of patient-specific parameters of mathematical models based on avail…