Cover Image

A coupled mathematical and numerical model for protein spreading and tissue atrophy, applied to Alzheimer's disease

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pederzoli, Valentina, Corti, Mattia, Riccobelli, Davide, Antonietti, Paola F.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study
by: Antonietti, Paola F., et al.
Published: (2024)

A novel mathematical and computational framework of amyloid-beta triggered seizure dynamics in Alzheimer's disease
by: Saglio, Caterina B. Leimer, et al.
Published: (2025)

A discontinuous Galerkin method for the three-dimensional heterodimer model with application to prion-like proteins' dynamics
by: Antonietti, Paola F., et al.
Published: (2024)

Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction
by: Antonietti, Paola F., et al.
Published: (2023)

A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures
by: Saglio, Caterina Beatrice Leimer, et al.
Published: (2024)

A whole-brain model of amyloid beta accumulation and cerebral hypoperfusion in Alzheimer's disease
by: Corti, Mattia, et al.
Published: (2026)

Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains
by: Antonietti, Paola F., et al.
Published: (2024)

Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
by: Corti, Mattia, et al.
Published: (2023)

Exploring tau protein and amyloid-beta propagation: a sensitivity analysis of mathematical models based on biological data
by: Corti, Mattia
Published: (2024)

High-fidelity and Network-based Spatio-temporal Mathematical Models of Alzheimer's Disease Progression and their Validation Against PET-SUVR Imaging Data
by: Caon, Beatrice, et al.
Published: (2026)

Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease
by: Corti, Mattia, et al.
Published: (2023)

Mathematical and numerical modeling of coupled oxygen dynamics and neuronal electrophysiology
by: Daniele, Francesco, et al.
Published: (2025)

A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
by: Antonietti, Paola F., et al.
Published: (2025)

lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
by: Antonietti, Paola F., et al.
Published: (2024)

Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
by: Antonietti, Paola F., et al.
Published: (2025)

Accelerating Algebraic Multigrid Methods via Artificial Neural Networks
by: Antonietti, Paola F., et al.
Published: (2021)

Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
by: Antonietti, Paola F., et al.
Published: (2023)

A review of discontinuous Galerkin time-stepping methods for wave propagation problems
by: Antonietti, Paola F., et al.
Published: (2025)

A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology
by: Saglio, Caterina Beatrice Leimer, et al.
Published: (2025)

A massively parallel non-overlapping Schwarz preconditioner for PolyDG methods in brain electrophysiology
by: Saglio, Caterina B. Leimer, et al.
Published: (2025)

Tau-induced atrophy drives functional connectivity disruption in Alzheimer's disease
by: Jiang, Kun, et al.
Published: (2026)

Numerical Verification of PolyDG Algebraic Solvers for the Pseudo-Stress Stokes Problem
by: Antonietti, Paola F., et al.
Published: (2025)

Variational-hemivariational inequalities: A brief survey on mathematical theory and numerical analysis
by: Han, Weimin
Published: (2025)

Oscillation-free numerical schemes for Biot's model and their iterative coupling solution
by: de la Riva, Álvaro Pé, et al.
Published: (2024)

Non-local traffic flow models with time delay: well-posedness and numerical approximation
by: Ciaramaglia, Ilaria, et al.
Published: (2024)

Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue
by: Bendahmane, Mostafa, et al.
Published: (2024)

Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling
by: Barnafi, N. A., et al.
Published: (2023)

Virtual Element methods for non-Newtonian shear-thickening fluid flow problems
by: Antonietti, Paola F., et al.
Published: (2026)

Analytic solutions and numerical method for a coupled thermo-neutronic problem
by: Lafitte, Olivier, et al.
Published: (2022)

Unified discontinuous Galerkin analysis of a thermo/poro-viscoelasticity model
by: Bonetti, Stefano, et al.
Published: (2024)

A comprehensive numerical investigation of a coupled mathematical model of neuronal excitability
by: Gürbüz, Burcu, et al.
Published: (2025)

A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system
by: Tonini, Andrea, et al.
Published: (2023)

A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
by: Antonietti, Paola F., et al.
Published: (2024)

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
by: Burman, Erik, et al.
Published: (2024)

A Virtual Element method for non-Newtonian fluid flows
by: Antonietti, P. F., et al.
Published: (2024)

Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density
by: Beuchler, Sven, et al.
Published: (2024)

Mathematical analysis and numerical simulation of coupled nonlinear space-fractional Ginzburg-Landau equations
by: Ding, Hengfei, et al.
Published: (2025)

Lyapunov exponents of renewal equations: numerical approximation and convergence analysis
by: Breda, Dimitri, et al.
Published: (2024)

Space--time Isogeometric Analysis of cardiac electrophysiology
by: Antonietti, P. F., et al.
Published: (2023)

On the Compact Discontinuous Galerkin method for polytopal meshes
by: Corti, Mattia, et al.
Published: (2026)