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Amyloid-$\beta$ (A$\beta$) plaques in conjunction with hyperphosphorylated tau proteins in the form of neurofibrillary tangles are the two neuropathological hallmarks of Alzheimer's disease. It is well-known that the identification of…

Motivated by the biologically important and complex phenomena of A\beta\ peptide aggregation in Alzheimer's disease, we introduce a model and simulation methodology for studying protein aggregation that includes extra-cellular aggregation,…

Quantitative Methods · Quantitative Biology 2018-03-02 Youval Dar , Benjamin Bairrington , Daniel Cox , Rajiv Singh

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

The formation of amyloid fibrils comprising amyloid $\beta$ (A$\beta$) peptides is associated with the pathology of Alzheimer's disease. In this study, we theoretically investigated the A$\beta$ structure at the fibril end using the density…

Biological Physics · Physics 2025-05-15 Yasuhiro Oishi , Motoharu Kitatani , Kichitaro Nakajima , Hirotsugu Ogi , Koichi Kusakabe

Pathological folding and oligomer formation of the amyloid beta-protein (Abeta) are widely perceived as central to Alzheimer's disease (AD). Experimental approaches to study Abeta self-assembly are problematic, because most relevant…

Biomolecules · Quantitative Biology 2009-11-13 Sijung Yun , Brigita Urbanc , Luis Cruz , Gal Bitan , David B. Teplow , H. Eugene Stanley

Alzheimer's disease (AD) is driven by the accumulation of amyloid-beta (Abeta) proteins in the brain, leading to memory loss and cognitive decline. While monoclonal antibodies targeting Abetahave been approved, optimizing their use to…

Quantitative Methods · Quantitative Biology 2025-03-13 Kobra Rabiei , Jeffrey R. Petrella , Suzanne Lenhart , Chun Liu , P. Murali Doraiswamy , Wenrui Hao

Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins. In particular Alzheimer's disease is characterized by the systematic progression of amyloid-$\beta$ and $\tau$-proteins in the brain.…

Cell Behavior · Quantitative Biology 2020-12-02 P. G. Kevrekidis , Travis Thompson , Alain Goriely

The use of amyloid-beta (A$\beta$) clearance to support regulatory approvals of drugs in Alzheimer's disease (AD) remains controversial. We evaluate A$\beta$ as a potential trial-level surrogate endpoint for clinical function in AD using a…

Alzheimer's disease (AD) is a neurodegenerative disorder that is beginning with amyloidosis, followed by neuronal loss and deterioration in structure, function, and cognition. The accumulation of amyloid-beta in the brain, measured through…

We implement the replica exchange molecular dynamics algorithm to study the interactions of a model peptide (WALP-16) with an explicitly represented DPPC membrane bilayer. We observe the spontaneous, unbiased insertion of WALP-16 into the…

Biomolecules · Quantitative Biology 2007-05-23 Hugh Nymeyer , Thomas B. Woolf , Angel E. Garcia

Detecting amyloid-$\beta$ (A$\beta$) positivity is crucial for early diagnosis of Alzheimer's disease but typically requires PET imaging, which is costly, invasive, and not widely accessible, limiting its use for population-level screening.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Francesco Chiumento , Julia Dietlmeier , Ronan P. Killeen , Kathleen M. Curran , Noel E. O'Connor , Mingming Liu

Alzheimer's disease (AD) is a neurodegenerative disorder; it is the most common form of de-mentia and the fifth leading cause of death globally. Aggregation and deposition of neurotoxic A-beta fibrils in the neural tissues of the brain is a…

Soft Condensed Matter · Physics 2024-06-10 Sadika Choudhury , Ashok Kumar Dasmahapatra

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 amyloid-$\beta$. Mathematical models and numerical…

Numerical Analysis · Mathematics 2024-09-05 Mattia Corti

The recent development of drugs able to mitigate neurodegenerative diseases has created an urgent need for novel diagnostics. Although biomarker detection directly in patients' blood is now possible, low-cost point-of-care tests remain a…

X-ray scattering measurements of in situ human brain tissue encode structural signatures of pathological cross-$\beta$ inclusions, yet systematic exploitation of these data for automated detection remains challenging due to substrate…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Abdullah Al Bashit , Prakash Nepal , Lee Makowski

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

Molecular communication (MC) within the synaptic cleft is vital for neurotransmitter diffusion, a process critical to cognitive functions. In Alzheimer's Disease (AD), beta-amyloid oligomers (A$\beta$os) disrupt this communication, leading…

Molecular Networks · Quantitative Biology 2024-09-06 Nayereh FallahBagheri , Ozgur B. Akan

Alzheimer's disease is the most common form of dementia in the western world, however there is no cure available for this devastating neurodegenerative disorder. Despite clinical and experimental evidence implicating the intestinal…

Molecular Networks · Quantitative Biology 2015-09-17 T. Harach , N. Marungruang , N. Dutilleul , V. Cheatham , K. D. Mc Coy , J. J. Neher , M. Jucker , F. Fåk , T. , Lasser , T. Bolmont

Metal ions, including copper and zinc, have been implicated in the pathogenesis of Alzheimers disease through a variety of mechanisms including increased amyloid \b{eta} affinity and redox effects. Recent reports have demonstrated that the…

Biological Physics · Physics 2017-04-28 Francis Hane , Zoya Leonenko

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