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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 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) 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

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) 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

Accumulation of amyloid beta proteins is a defining feature of Alzheimer's disease, and is usually accompanied by cerebrovascular pathology. Evidence suggests that amyloid beta and cerebrovascular pathology are mutually reinforcing; in…

Numerical Analysis · Mathematics 2026-01-14 Mattia Corti , Andrew Ahern , Alain Goriely , Ellen Kuhl , Paola F. Antonietti

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

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

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

Generative AI framework-based modeling and prediction of longitudinal human brain images offer an efficient mechanism to track neurodegenerative progression, essential for the assessment of diseases like Alzheimer's. Among the existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ayantika Das , Keerthi Ram , Mohanasankar Sivaprakasam

The abnormal aggregation of extracellular amyloid-$\beta$ (A\beta) in senile plaques resulting in calcium (Ca^{+2}) dyshomeostasis is one of the primary symptoms of Alzheimer's disease (AD). Significant research efforts have been devoted in…

Neurons and Cognition · Quantitative Biology 2023-06-21 Hina Shaheen , Roderick Melnik , Sundeep Singh

Alzheimer's disease (AD) is a devastating neurodegenerative disorder with no cure and limited treatment solutions that are unable to target any of the suspected causes. Increasing evidence suggests that one of the causes of…

Biological Physics · Physics 2017-04-28 Morgan Robinson , Brenda Yasie Lee , Zoya Leonenko

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 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 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

Currently, many studies of Alzheimer's disease (AD) are investigating the neurobiological factors behind the acquisition of beta-amyloid (A), pathologic tau (T), and neurodegeneration ([N]) biomarkers from neuroimages. However, a…

Neurons and Cognition · Quantitative Biology 2020-10-05 Jingwen Zhang , Defu Yang , Wei He , Guorong Wu , Minghan Chen

Alzheimer's disease (AD) is an age-specific neurodegenerative disease that compromises cognitive functioning and impacts the quality of life of an individual. Pathologically, AD is characterised by abnormal accumulation of beta-amyloid…

Subcellular Processes · Quantitative Biology 2020-05-29 Alok Joshi , Da-Hui Wang , Steven Watterson , Paula L. McClean , Chandan K. Behera , Trevor Sharp , KongFatt Wong-Lin

Alzheimer's Disease (AD) is a neurodegenerative disorder that lacks effective treatment options. Anti-amyloid beta (ABeta) antibodies are the leading drug candidates to treat AD, but the results of clinical trials have been disappointing.…

Biomolecules · Quantitative Biology 2018-04-24 D'Artagnan Greene , Theodora Po , Jennifer Pan , Tanya Tabibian , Ray Luo

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) is a progressive neurodegenerative disorder characterized by cognitive decline, where early detection is essential for timely intervention and improved patient outcomes. Traditional diagnostic methods are…

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