34 citations · 269 across the 80 of their papers we have counts for
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A coupled mathematical and numerical model for protein spreading and tissue atrophy, applied to Alzheimer's disease
Valentina Pederzoli, Mattia Corti, Davide Riccobelli +1
The aim of this paper is to introduce, analyse and test in practice a new mathematical model describing the interplay between biological tissue atrophy driven by pathogen diffusion…
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
Paola F. Antonietti, Michele Botti, Alessandra Cancrini +1
This work aims to construct and analyze a discontinuous Galerkin method on polytopal grids (PolydG) to solve the pseudo-stress formulation of the unsteady Stokes problem. The pseud…
A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins' dynamics
Paola F. Antonietti, Mattia Corti, Giacomo Lorenzon
Neurocognitive disorders, such as Alzheimer's and Parkinson's, have a wide social impact. These proteinopathies involve misfolded proteins accumulating into neurotoxic aggregates.…
High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models
Federica Botta, Matteo Calafà, Pasquale C. Africa +2
This work aims at presenting a Discontinuous Galerkin (DG) formulation employing a spectral basis for two important models employed in cardiac electrophysiology, namely the monodom…
Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains
Paola F. Antonietti, Mattia Corti, Gabriele Martinelli
Agglomeration techniques can be successfully employed to reduce the computational costs of numerical simulations and stand at the basis of multilevel algebraic solvers. To automati…
Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning
Matteo Caldana, Paola F. Antonietti, Luca Dede'
Finite element-based high-order solvers of conservation laws offer large accuracy but face challenges near discontinuities due to the Gibbs phenomenon. Artificial viscosity is a po…
Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study
Paola F. Antonietti, Mattia Corti
The spreading of misfolded proteins is a known hallmark in some neurodegenerative diseases, known as proteinopathies. A significant example is the tau protein, associated with many…
A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures
Caterina Beatrice Leimer Saglio, Stefano Pagani, Mattia Corti +1
Epilepsy is a clinical neurological disorder characterized by recurrent and spontaneous seizures consisting of abnormal high-frequency electrical activity in the brain. In this con…
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
Paola F. Antonietti, Stefano Bonetti, Michele Botti +3
We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a Matlab library for the discretization of partial differen…