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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…

软凝聚态物质 · 物理学 2014-07-08 John E. Straub , D. Thirumalai

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…

数值分析 · 数学 2026-01-14 Mattia Corti , Andrew Ahern , Alain Goriely , Ellen Kuhl , Paola F. Antonietti

We develop a theory of aggregation using statistical mechanical methods. An example of a complicated aggregation system with several levels of structures is peptide/protein self-assembly. The problem of protein aggregation is important for…

生物大分子 · 定量生物学 2023-07-19 John S. Schreck , Jian-Min Yuan

The need to understand the assembly kinetics of fibril formation has become urgent because of the realization that soluble oligomers of amyloidogenic peptides may be even more neurotoxic than the end product, namely, the amyloid fibrils. In…

生物大分子 · 定量生物学 2007-05-23 Ruxandra I. Dima , Bogdan Tarus , John E. Straub , D. Thirumalai

Membrane bending is an extensively studied problem from both modeling and experimental perspectives because of the wide implications of curvature generation in cell biology. Many of the curvature generating aspects in membranes can be…

软凝聚态物质 · 物理学 2021-07-21 Arijit Mahapatra , David Saintillan , Padmini Rangamani

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…

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…

动力系统 · 数学 2024-07-08 Georgia S. Brennan , Alain Goriely

Studies of how protein fold have shown that the way protein clumps form in the test tube is similar to how proteins form the so-called ``amyloid'' deposits that are the pathological signal of a variety of diseases, among them the memory…

凝聚态物理 · 物理学 2009-10-31 R. A. Broglia , G. Tiana , S. Pasquali , H. E. Roman , E. Vigezzi

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…

定量方法 · 定量生物学 2025-03-13 Kobra Rabiei , Jeffrey R. Petrella , Suzanne Lenhart , Chun Liu , P. Murali Doraiswamy , Wenrui Hao

We extend our previous stochastic cellular automata based model for areal aggregation of prion proteins on neuronal surfaces. The new anisotropic model allow us to simulate both strong beta-sheet and weaker attachment bonds between…

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…

分子网络 · 定量生物学 2020-08-25 Georg Meisl , Xiaoting Yang , Christopher M. Dobson , Sara Linse , Tuomas P. J. Knowles

Nanoparticles introduced in living cells are capable of strongly promoting the aggregation of peptides and proteins. We use here molecular dynamics simulations to characterise in detail the process by which nanoparticle surfaces catalyse…

生物大分子 · 定量生物学 2010-06-08 Stefan Auer , Antonio Trovato , Michele Vendruscolo

Neurodegenerative diseases are driven by the accumulation of protein aggregates in the brain of affected individuals. The aggregation behaviour in vitro is well understood and driven by the equilibration of a super-saturated protein…

生物大分子 · 定量生物学 2025-11-25 Matthew W. Cotton , Alain Goriely , David Klenerman , Georg Meisl

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…

概率论 · 数学 2019-04-26 Bruno Franchi , Martin Heida , Silvia Lorenzani

We propose an exactly solvable simplified statistical mechanical model for the thermodynamics of beta-amyloid aggregation, generalizing a well-studied model for protein folding. The monomer concentration is explicitly taken into account as…

生物大分子 · 定量生物学 2010-10-22 Marco Zamparo , Antonio Trovato , Amos Maritan

Several neurological disorders are associated with the aggregation of aberrant proteins, often localized in intracellular organelles such as the endoplasmic reticulum. Here we study protein aggregation kinetics by mean-field reactions and…

神经元与认知 · 定量生物学 2014-04-17 Z. Budrikis , G. Costantini , C. A. La Porta , S. Zapperi

The determination of the folding mechanisms of proteins is critical to understand the topological change that can propagate Alzheimer and Creutzfeld-Jakobs diseases, among others. The computational community has paid considerable attention…

生物大分子 · 定量生物学 2007-05-23 Guanghong Wei , Normand Mousseau , Philippe Derreumaux

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…

经典分析与常微分方程 · 数学 2015-09-10 Mohamed Helal , Erwan Hingant , Laurent Pujo-Menjouet , Glenn F. Webb

Protein aggregation in cell membrane is vital for the majority of biological functions. Recent experimental results suggest that transmembrane domains of proteins such as $\alpha$-helices and $\beta$-sheets have different structural…

生物物理 · 物理学 2016-01-20 Hamidreza Jafarinia , Atefeh Khoshnood , Mir Abbas Jalali

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…

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