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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 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

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

The 16-22 amino acid fragment of the beta-amyloid peptide associated with the Alzheimer's disease, Abeta, is capable of forming amyloid fibrils. Here we study the aggregation mechanism of Abeta(16-22) peptides by unbiased thermodynamic…

Biomolecules · Quantitative Biology 2009-11-10 Giorgio Favrin , Anders Irbäck , Sandipan Mohanty

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 causes severe neurodegeneration in the brain that leads to a certain death. The defining factor is the formation of extracellular senile amyloid plaques in the brain. However, therapeutic approaches to remove them have…

Biomolecules · Quantitative Biology 2011-09-07 Andrei Krokhotin , Antti J. Niemi

The amyloid $\beta$ peptide (A$\beta$42), whose aggregation is associated with Alzheimer's disease, is an amphiphatic peptide with a high propensity to self-assemble. A$\beta$42 has a net negative charge at physiological pH and modulations…

Molecular Networks · Quantitative Biology 2020-08-25 Georg Meisl , Xiaoting Yang , Christopher M. Dobson , Sara Linse , Tuomas P. J. Knowles

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) 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

Analyzing kinetic experiments on protein aggregation using integrated rate laws has led to numerous advances in our understanding of the fundamental chemical mechanisms behind amyloidogenic disorders such as Alzheimer's and Parkinson's…

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…

The presence of oligomeric aggregates, which is often observed during the process of amyloid formation, has recently attracted much attention since it has been associated with neurodegenerative conditions such as Alzheimer's and Parkinson's…

Biomolecules · Quantitative Biology 2009-01-14 Stefan Auer , Filip Meersman , Christopher M. Dobson , Michele Vendruscolo

The link between metals, Alzheimers disease (AD) and its implicated protein, amyloid \b{eta} (A\b{eta}), is complex and highly studied. AD is believed to occur as a result of the misfolding and aggregation of A\b{eta}. The dyshomeostasis of…

Biological Physics · Physics 2017-04-28 Francis Hane , Gary Tran , Simon Attwood , Zoya Leonenko

In this perspective we describe the critical role membranes play in modulating the structures of the Amyloid Precursor Proteins to produce the peptides involved in the Alzheimer's disease. Some of the key concepts related to protein…

Soft Condensed Matter · Physics 2014-07-08 John E. Straub , D. Thirumalai

Alzheimer's disease is not the outcome of a single cause but the convergence of many. This review reframes dementia as a systemic failure, where amyloid plaques and tau tangles are not root causes but late-stage byproducts of the underlying…

Neurons and Cognition · Quantitative Biology 2025-04-09 Irina Kareva

Neurodegenerative diseases are associated with the assembly of specific proteins into oligomers and fibrillar aggregates. At the brain scale, these protein assemblies can diffuse through the brain and seed other regions, creating an…

Dynamical Systems · Mathematics 2024-07-08 Georgia S. Brennan , Alain Goriely

Amyloid beta peptides (A\b{eta}), implicated in Alzheimers disease (AD), interact with the cellular membrane and induce amyloid toxicity. The composition of cellular membranes changes in aging and AD. We designed multi component lipid…

Biological Physics · Physics 2017-11-01 Elizabeth Drolle , Alexander Negoda , Keely Hammond , Evgeny Pavlov , Zoya Leonenko

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

Protein aggregates in the brain play a central role in cognitive decline and structural damage associated with neurodegenerative diseases. For instance, in Alzheimer's disease the formation of Amyloid-beta plaques and tau proteins…

Biomolecules · Quantitative Biology 2021-04-07 Travis B. Thompson , Georg Meisl , Tuomas Knowles , Alain Goriely
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