A. Zanin, S. Pagani, M. Corti, V. Crepaldi, G. Di Fede, P.F. Antonietti, and for the Alzheimer’s Disease Neuroimaging Initiative (ADNI). Predicting Alzheimer’s disease progression from sparse multimodal data by NeuralODE models. BiorXiv (2025).
P.F. Antonietti, M. Corti, and G. Lorenzon. A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins' dynamics. ArXiv (2024).
P.F. Antonietti, M. Corti, and G. Martinelli. Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains. ArXiv (2024).
C.B. Leimer Saglio, S. Pagani, M. Corti, and P.F. Antonietti. A high-order Discontinuous Galerkin method for the numerical modeling of epileptic seizures. ArXiv (2024).
P. F. Antonietti, M. Corti, S. Gómez, and I. Perugia. A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases. Mathematics and Computers in Simulation. 241 (Part A). 351-366 (2026).
S. Bonetti and M. Corti. Unified discontinuous Galerkin analysis of a thermo/poro-viscoelasticity model. Journal of Scientific Computing. 105. 11 (2026).
V. Pederzoli, M. Corti, D. Riccobelli, and P.F. Antonietti. A coupled mathematical and numerical model for protein spreading and tissue atrophy, applied to Alzheimer's disease. Computer Methods in Applied Mechanics and Engineering. 444. 118118 (2025).
P.F. Antonietti, S. Bonetti, M. Botti, M. Corti, I. Fumagalli, and I. Mazzieri. lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems. ACM Transactions on Mathematical Software. 51 (1). 3:1-3:22 (2025).
M. Corti, F. Bonizzoni, P.F. Antonietti, and A.M. Quarteroni. Uncertainty quantification for Fisher-Kolmogorov equation on graphs with applications to patient-specific Alzheimer’s disease. ESAIM: Mathematical Modelling and Numerical Analysis. 58 (6). 2135-2154 (2024).
M. Corti. Exploring tau protein and amyloid-beta propagation: a sensitivity analysis of mathematical models based on biological data. Brain Multiphysics. 7. 100098 (2024).
P.F. Antonietti, F. Bonizzoni, M. Corti, and A. Dall’Olio. Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction. Computer Methods in Applied Mechanics and Engineering. 431. 117282 (2024).
M. Corti, F. Bonizzoni, and P.F. Antonietti. Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases. Journal of Scientific Computing. 100. 39 (2024).
I. Fumagalli, M. Corti, N. Parolini, and P.F. Antonietti. Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. Journal of Computational Physics. 513. 113115 (2024).
M. Corti, F. Bonizzoni, L. Dede’, A.M. Quarteroni, and P.F. Antonietti. Discontinuous Galerkin methods for Fisher-Kolmogorov Equation with application to α-synuclein spreading in Parkinson's disease. Computer Methods in Applied Mechanics and Engineering. 417 (Part A). 116450 (2023).
M. Corti, P.F. Antonietti, L. Dede’, and A.M. Quarteroni. Numerical modelling of the brain poromechanics by high-order discontinuous Galerkin methods. Mathematical Models and Methods in Applied Sciences. 33 (8). 1577-1609 (2023).
M. Corti, A. Zingaro, L. Dede’, and A.M. Quarteroni. Impact of atrial fibrillation on left atrium haemodynamics: A computational fluid dynamics study. Computers in Biology and Medicine. 150. 106143 (2022).
P.F. Antonietti and M. Corti. Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1: European Conference, September 4-8, Lisbon, Portugal. 1-16. Lecture Notes in Computational Science and Engineering, 153 (2025).
A. Zingaro, M. Corti, L. Dede’, and A.M. Quarteroni. Effects of atrial fibrillation on the left atrium hemodynamics. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2021, Milan (2022).
M. Corti. Mathematical models and numerical methods for neurodegenerative diseases. PhD Thesis in Mathematical Models and Methods in Engineering (2025).
M. Corti. Effects of atrial fibrillation on left atrium haemodynamics: a patient-specific computational fluid dynamics study. Master Thesis in Mathematical Engineering: Computational Science in Engineering (2021).