4 papers
A novel mathematical and computational framework of amyloid-beta triggered seizure dynamics in Alzheimer's disease
Caterina B. Leimer Saglio, Mattia Corti, Stefano Pagani +1
The association of epileptic activity and Alzheimer's disease (AD) has been increasingly reported in both clinical and experimental studies, suggesting that amyloid- accumulatio…
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
This work presents a structure-preserving, high-order, unconditionally stable numerical method for approximating the solution to the Fisher-Kolmogorov equation on polytopic meshes,…
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…
Unified discontinuous Galerkin analysis of a thermo/poro-viscoelasticity model
Stefano Bonetti, Mattia Corti
We present and analyze a discontinuous Galerkin method for the numerical modeling of a Kelvin-Voigt thermo/poro-viscoelastic problem. We present the derivation of the model and we…