54 citations · 150 across the 23 of their papers we have counts for
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Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
Ivan Fumagalli, Mattia Corti, Nicola Parolini +1
A comprehensive mathematical model of the multiphysics flow of blood and Cerebrospinal Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and Stoke…
Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction
Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti +1
Mathematical models of protein-protein dynamics, such as the heterodimer model, play a crucial role in understanding many physical phenomena. This model is a system of two semiline…
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti
Many neurodegenerative diseases are connected to the spreading of misfolded prionic proteins. In this paper, we analyse the process of misfolding and spreading of both -synuclei…
Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti +1
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used to model the accumulation of prionic proteins, which are responsible for many different neurological disorde…
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to -Synuclein Spreading in Parkinson's Disease
Mattia Corti, Francesca Bonizzoni, Luca Dede' +2
This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of -synuclein in Parkinson's…