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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) 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 prevalent, progressive, and ultimately fatal neurodegenerative disorder that is defined pathologically by the accumulation of amyloid plaques and tau neurofibrillary tangles in the brain. There remains an unmet…

Tissues and Organs · Quantitative Biology 2023-11-21 Leonardino A. Digma MD , Joseph R. Winer PhD , Michael D. Greicius MD

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 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 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-$\beta$ (A$\beta$) plaques and neurofibrillary tangles composed of hyperphosphorylated tau. This…

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

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…

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 is characterized by dangerous amyloid plaques formed by deposits of the protein Beta-Amyloid aggregates in the brain. The specific amino acid sequence that is responsible for the aggregates of Beta-Amyloid is…

Quantitative Methods · Quantitative Biology 2025-06-18 Ananya Joshi , George Khoury , Christodoulas Floudas

We introduce a mathematical model of the in vivo progression of Alzheimer's disease with focus on the role of prions in memory impairment. Our model consists of differential equations that describe the dynamic formation of {\beta}-amyloid…

Classical Analysis and ODEs · Mathematics 2015-09-10 Mohamed Helal , Erwan Hingant , Laurent Pujo-Menjouet , Glenn F. Webb

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

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

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…

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

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) is a complex neurodegenerative disorder marked by memory loss, executive dysfunction, and personality changes. Early diagnosis is challenging due to subtle symptoms and varied presentations, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Yifei Chen , Shenghao Zhu , Zhaojie Fang , Chang Liu , Binfeng Zou , Yuhe Wang , Shuo Chang , Fan Jia , Feiwei Qin , Jin Fan , Yong Peng , Changmiao Wang

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
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