39 citations · 113 across the 23 of their papers we have counts for
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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…
A DG-VEM method for the dissipative wave equation
Paola Francesca Antonietti, Francesca Bonizzoni, Marco Verani
A novel space-time discretization for the (linear) scalar-valued dissipative wave equation is presented. It is a structured approach, namely, the discretization space is obtained t…
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…
Discrete tensor product BGG sequences: splines and finite elements
Francesca Bonizzoni, Kaibo Hu, Guido Kanschat +1
In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand (BGG) diagrams and complexes over cubical meshes of arbitrary dimension via the use of tensor…