Beyond the usual suspects: multi-factorial computational models in the search for neurodegenerative disease mechanisms

AF Khan, Y Iturria-Medina - Translational Psychiatry, 2024 - nature.com
From Alzheimer's disease to amyotrophic lateral sclerosis, the molecular cascades
underlying neurodegenerative disorders remain poorly understood. The clinical view of …

Discovering a reaction–diffusion model for Alzheimer's disease by combining PINNs with symbolic regression

Z Zhang, Z Zou, E Kuhl, GE Karniadakis - Computer Methods in Applied …, 2024 - Elsevier
Misfolded tau proteins play a critical role in the progression and pathology of Alzheimer's
disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a …

A multi-scale model explains oscillatory slowing and neuronal hyperactivity in Alzheimer's disease

CG Alexandersen, W de Haan… - Journal of the Royal …, 2023 - royalsocietypublishing.org
Alzheimer's disease is the most common cause of dementia and is linked to the spreading of
pathological amyloid-β and tau proteins throughout the brain. Recent studies have …

Uncertainty quantification for Fisher-Kolmogorov equation on graphs with application to patient-specific Alzheimer's disease

M Corti, F Bonizzoni, PF Antonietti… - … and Numerical Analysis, 2024 - esaim-m2an.org
The Fisher-Kolmogorov equation is a diffusion-reaction PDE that models the accumulation
of prionic proteins, which are responsible for many different neurological disorders. The …

Front propagation and arrival times in networks with application to neurodegenerative diseases

P Putra, H Oliveri, T Thompson, A Goriely - SIAM Journal on Applied …, 2023 - SIAM
Many physical, epidemiological, or physiological dynamical processes on networks support
front-like propagation, where an initial localized perturbation grows and systematically …

Personalised regional modelling predicts tau progression in the human brain

P Chaggar, J Vogel, A Pichet Binette, TB Thompson… - bioRxiv, 2023 - biorxiv.org
Aggregation of the hyperphosphorylated tau protein is a central driver of Alzheimer's
disease, and its accumulation exhibits a rich spatio-temporal pattern that unfolds during the …

Data-driven simulation of network-based tau spreading tailored to individual Alzheimer's patients

SW Kim, H Cho, Y Lee, CH Lyoo, JK Seong - Engineering with Computers, 2024 - Springer
Tau tangles in the brain cortex spread along the brain network in distinct patterns among
Alzheimer's patients. We aim to simulate their network-based spreading within the cortex …

Neuronal activity induces symmetry breaking in neurodegenerative disease spreading

CG Alexandersen, A Goriely, C Bick - Journal of Mathematical Biology, 2024 - Springer
Dynamical systems on networks typically involve several dynamical processes evolving at
different timescales. For instance, in Alzheimer's disease, the spread of toxic protein …

[HTML][HTML] Two for tau: Automated model discovery reveals two-stage tau aggregation dynamics in Alzheimer's disease

CA Stockman, A Goriely, E Kuhl… - Brain Multiphysics, 2024 - Elsevier
Alzheimer's disease is a neurodegenerative disorder characterized by the presence of
amyloid-β plaques and the accumulation of misfolded tau proteins and neurofibrillary …

Exploring tau protein and amyloid-beta propagation: a sensitivity analysis of mathematical models based on biological data

M Corti - arXiv preprint arXiv:2404.14169, 2024 - arxiv.org
Alzheimer's disease is the most common dementia worldwide. Its pathological development
is well known to be connected with the accumulation of two toxic proteins: tau protein and …