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Alzheimer's disease (AD) is a prominent, worldwide, age-related neurodegenerative disease that currently has no systemic treatment. Strong evidence suggests that permeable amyloid-beta peptide (Abeta) oligomers, astrogliosis and reactive…

Neurons and Cognition · Quantitative Biology 2023-06-23 Hina Shaheen , Roderick Melnik , The Alzheimer's Disease Neuroimaging Initiative

The association of epileptic activity and Alzheimer's disease (AD) has been increasingly reported in both clinical and experimental studies, suggesting that amyloid-$\beta$ accumulation may directly affect neuronal excitability. Capturing…

Numerical Analysis · Mathematics 2025-11-14 Caterina B. Leimer Saglio , Mattia Corti , Stefano Pagani , Paola F. Antonietti

Alzheimer's disease (AD) is a neurodegenerative disorder and the most common cause of dementia in the elderly. The extracellular accumulation of amyloid-$\beta$ (A$\beta$) in senile plaques is a principal event in the pathogenesis and there…

Medical Physics · Physics 2018-03-12 E. G. Lobanova , S. V. Lobanov , K. Triantafilou , W. Langbein , P. Borri

Alzheimer's disease (AD) persists as a paramount challenge in neurological research, characterized by the pathological hallmarks of amyloid-beta (Abeta) plaques and neurofibrillary tangles composed of hyperphosphorylated tau. This review…

Neurons and Cognition · Quantitative Biology 2025-12-15 Xutong She

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…

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

Alzheimer's disease (AD) is a progressive neurodegenerative disorder that severely impairs survival and quality of life. While anti-amyloid beta (Abeta) therapies can slow disease progression, their efficacy depends on personalized dosing…

Optimization and Control · Mathematics 2025-11-10 Sun Lee , Chiu-Yen Kao , Zhiyuan Li , Tingting Dan , Guorong Wu , Wenrui Hao

Alzheimer's disease (AD) is a common neurodegenerative disorder nowadays. Amyloid-beta (A$\beta$) and tau proteins are among the main contributors to the development or propagation of AD. In AD, A$\beta$ proteins clump together to form…

Neurons and Cognition · Quantitative Biology 2025-04-21 Swadesh Pal , Roderick Melnik

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

Alzheimer's disease (AD) is a common form of dementia observed in the elderly due to neurodegenerative disorder and dysfunction. This arises from alterations in synaptic functioning of neurons leading to cognitive impairment and memory…

Neurons and Cognition · Quantitative Biology 2010-11-19 V. Resmi , G. Ambika , R. E. Amritkar , G. Rangarajan

Alzheimer's disease (AD) persists as a paramount challenge in neurological research, characterized by the pathological hallmarks of amyloid-$\beta$ (A$\beta$) plaques and neurofibrillary tangles composed of hyperphosphorylated tau. This…

Molecular Networks · Quantitative Biology 2025-12-05 She Xutong

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…

Alzheimer's disease (AD), defined as an abnormal buildup of amyloid plaques and tau tangles in the brain can be diagnosed with high accuracy based on protein biomarkers via PET or CSF analysis. However, due to the invasive nature of…

Machine Learning · Computer Science 2026-01-27 Megan A. Witherow , Michael L. Evans , Ahmed Temtam , Hamid R. Okhravi , Khan M. Iftekharuddin

Alzheimer's disease (AD) is a complex neurodegenerative disorder characterized by the accumulation of amyloid-beta (A$\beta$) and phosphorylated tau (p-tau) proteins, leading to cognitive decline measured by the Alzheimer's Disease…

Neurons and Cognition · Quantitative Biology 2025-04-21 Swadesh Pal , Roderick Melnik

Alzheimer's disease (AD) is a serious neurodegenerative disease consisting of four stages where the illness gets progressively worse. It is of great significance to detect the gene regulatory mechanism as AD progresses and, thus, to help us…

Methodology · Statistics 2023-03-14 Shanjun Mao , Xiaodan Fan

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…

In this note, we apply the theory of stochastic homogenization to find the asymptotic behavior of the solution of a set of Smoluchowski's coagulation-diffusion equations with non-homogeneous Neumann boundary conditions. This system is meant…

Probability · Mathematics 2019-04-26 Bruno Franchi , Martin Heida , Silvia Lorenzani

We propose a mathematical model for the onset and progression of Alzheimer's disease based on transport and diffusion equations. We treat brain neurons as a continuous medium and structure them by their degree of malfunctioning. Three…

Biological Physics · Physics 2020-12-29 Michiel Bertsch , Bruno Franchi , Valentina Meschini , Maria Carla Tesi , Andrea Tosin

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 (AD) is a progressive neurodegenerative disorder characterized by cognitive decline, structural brain changes, and genetic predispositions. This study leverages machine-learning and statistical techniques to investigate…

Applications · Statistics 2025-10-29 Riddhik Basu , Arkaprava Roy
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