[Dottorcomp] Seminari di Matematica Applicata, 07/10/2025, Francesca Bonizzoni

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 7 Ottobre 2025, alle ore 15 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Francesca Bonizzoni (Politecnico di Milano)

terrà un seminario dal titolo:

Polytopal DG discretizations for the numerical modeling of
neurodegenerative diseases.

Abstract: Many neurodegenerative diseases are connected to the spreading of
misfolded prionic proteins. In this talk, we introduce and analyze
numerical methods for the discretization of the Fisher- Kolmogorov
equation, modelling accumulation and spreading of both α-synuclein and
Amyloid- β, related to Parkinson’s and Alzheimer’s diseases, respectively.
The proposed approximation method couples the Discontinuous Galerkin (DG)
method on polygonal/polyhedral grids for space discretization, with the
θ-method for time integration.

We show that the proposed approach is structure-preserving, in the sense
that it guarantees that the discrete solution is non-negative, a feature
that is of paramount importance in practical applications. Several
numerical tests will be presented, including simulations of the α-synuclein
spreading in a two-dimensional brain slice and the Amyloid-β spreading in a
patient-specific setting by using a three-dimensional geometry.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/