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Brain network topology, derived from functional magnetic resonance imaging (fMRI), holds promise for improving Alzheimer's disease (AD) diagnosis. Current methods primarily focus on lower-order topological features, often overlooking the…

Geometric Topology · Mathematics 2025-09-19 Dengyi Zhao , Shanyong Li , Yunping Wang , Chenfei Wang , Zhiheng Zhou , Guiying Yan , Xingqin Qi

In this study, we proposed and evaluated a graph-based framework to assess variations in Alzheimer's disease (AD) neuropathologies, focusing on classic (cAD) and rapid (rpAD) progression forms. Histopathological images are converted into…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Gabriel Jimenez , Leopold Hebert-Stevens , Benoit Delatour , Lev Stimmer , Daniel Racoceanu

Alzheimer's disease is the most common dementia leading to an irreversible neurodegenerative process. To date, subject revealed advanced brain structural alterations when the diagnosis is established. Therefore, an earlier diagnosis of this…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Kilian Hett , Vinh-Thong Ta , Jose Vicente Manjon , Pierrick Coupé

Alzheimer's disease is the most common neurodegenerative disease. The aim of this study is to infer structural changes in brain connectivity resulting from disease progression using cortical thickness measurements from a cohort of…

Alzheimer's disease is characterised by the spreading of misfolded proteins and progressive structural changes in the brain. Despite significant clinical research, understanding how microscopic protein dynamics translate into macroscopic…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 A. Vazquez-Palomo , C. Betegón , J. Weickenmeier , E. Martínez-Pañeda

Alzheimer's disease (AD) emerges from a complex interplay of molecular, cellular, and network-level disturbances that are not easily captured by traditional reductionist frameworks. Conventional analyses of gene expression often rely on…

Quantitative Methods · Quantitative Biology 2025-12-11 Aya Samadzelkava

In this Note we study a mathematical model for the progression of Alzheimer's Disease in the human brain. The novelty of our approach consists in the representation of the brain as two superposed graphs where toxic proteins diffuse, the…

Analysis of PDEs · Mathematics 2022-12-29 Michiel Bertsch , Bruno Franchi , Maria Carla Tesi , Veronica Tora

Alzheimer's disease is the most common neurodegenerative disorder. Its pathological development is connected with the misfolding and accumulation of two toxic proteins: amyloid-beta and tau proteins. Mathematical models provide a valuable…

Numerical Analysis · Mathematics 2026-04-21 Beatrice Caon , Mattia Corti , Francesca Bonizzoni , Paola F. Antonietti

Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis are dominated by voxel-wise, mass-univariate methods such as…

Algebraic Topology · Mathematics 2026-04-28 Donato Quiccione , Mariam Pirashvili , Nathan Broomhead , Sean J. Fallon

Alzheimer's disease (AD) is a complex, progressive neurodegenerative disorder characterized by extracellular A\b{eta} plaques, neurofibrillary tau tangles, glial activation, and neuronal degeneration, involving multiple cell types and…

Machine Learning · Computer Science 2024-11-19 Anya Chauhan , Ayush Noori , Zhaozhi Li , Yingnan He , Michelle M Li , Marinka Zitnik , Sudeshna Das

Alzheimer's Disease is a progressive neurological disorder that is one of the most common forms of dementia. It leads to a decline in memory, reasoning ability, and behavior, especially in older people. The cause of Alzheimer's Disease is…

Machine Learning · Computer Science 2025-04-03 Jing Wang , Jun-En Ding , Feng Liu , Elisa Kallioniemi , Shuqiang Wang , Wen-Xiang Tsai , Albert C. Yang

We propose a method to predict the subject-specific longitudinal progression of brain structures extracted from baseline MRI, and evaluate its performance on Alzheimer's disease data. The disease progression is modeled as a trajectory on a…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Alexandre Bône , Maxime Louis , Alexandre Routier , Jorge Samper , Michael Bacci , Benjamin Charlier , Olivier Colliot , Stanley Durrleman

The path signature is a means of feature generation that can encode nonlinear interactions in the data as well as the usual linear features. It can distinguish the ordering of time-sequenced changes: for example whether or not the…

Quantitative Methods · Quantitative Biology 2020-07-01 P. J. Moore , J. Gallacher , T. J. Lyons

Functional brain connectivity changes dynamically over time, making its representation challenging for learning on non-Euclidean data. We present a framework that encodes dynamic functional connectivity as an image representation of…

Neurons and Cognition · Quantitative Biology 2025-11-14 Peilin He , Tananun Songdechakraiwut

Objective: This paper presents an Alzheimer's disease (AD) detection method based on learning structural similarity between Magnetic Resonance Images (MRIs) and representing this similarity as a graph. Methods: We construct the similarity…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Kuo Yang , Emad A. Mohammed , Behrouz H. Far

It is well known that today nearly one in six of the world's population has to deal with neurodegenerative disorders. While a number of medical devices have been developed for the detection, prevention, and treatments of such disorders,…

Neurons and Cognition · Quantitative Biology 2021-12-23 Swadesh Pal , Roderick Melnik

We propose a mesh-based technique to aid in the classification of Alzheimer's disease dementia (ADD) using mesh representations of the cortex and subcortical structures. Deep learning methods for classification tasks that utilize structural…

Image and Video Processing · Electrical Eng. & Systems 2022-03-14 Emanuel A. Azcona , Pierre Besson , Yunan Wu , Arjun Punjabi , Adam Martersteck , Amil Dravid , Todd B. Parrish , S. Kathleen Bandt , Aggelos K. Katsaggelos

In this study we propose a deformation-based framework to jointly model the influence of aging and Alzheimer's disease (AD) on the brain morphological evolution. Our approach combines a spatio-temporal description of both processes into a…

Neurons and Cognition · Quantitative Biology 2019-05-27 Raphaël Sivera , Hervé Delingette , Marco Lorenzi , Xavier Pennec , Nicholas Ayache

Alzheimer's disease (AD) is a complex neurodegenerative disorder characterized by the progressive accumulation of misfolded proteins, leading to cognitive decline. This study presents a novel stochastic modelling approach to simulate the…

Neurons and Cognition · Quantitative Biology 2024-11-06 Alec MacIver , Hina Shaheen

Understanding the interactions between biomarkers among brain regions during neurodegenerative disease is essential for unravelling the mechanisms underlying disease progression. For example, pathophysiological models of Alzheimer's Disease…

Artificial Intelligence · Computer Science 2025-11-17 Tiantian He , An Zhao , Elinor Thompson , Anna Schroder , Ahmed Abdulaal , Frederik Barkhof , Daniel C. Alexander
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