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It is well known that today nearly one in six of the world's population has to deal with neurodegenerative disorders. While a number of medical devices have been developed for the detection, prevention, and treatments of such disorders,…

Neurons and Cognition · Quantitative Biology 2021-12-23 Swadesh Pal , Roderick Melnik

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

Association rules mining (ARM) is one of the most important problems in knowledge discovery and data mining. Given a transaction database that has a large number of transactions and items, the task of ARM is to acquire consumption habits of…

Quantum Physics · Physics 2016-11-03 Chao-Hua Yu , Fei Gao , Qing-Le Wang , Qiao-Yan Wen

The Fisher-Kolmogorov equation is a diffusion-reaction PDE that is used to model the accumulation of prionic proteins, which are responsible for many different neurological disorders. Likely, the most important and studied misfolded protein…

Numerical Analysis · Mathematics 2024-12-31 Mattia Corti , Francesca Bonizzoni , Paola F. Antonietti , Alfio M. Quarteroni

Our understanding of the physics of biological molecules, such as proteins and DNA, is limited because the approximations we usually apply to model inert materials are not in general applicable to soft, chemically inhomogeneous systems. The…

Quantum Physics · Physics 2010-07-13 Sarah Harris , Vivien M. Kendon

Entanglement is a key resource of quantum science for tasks that require it to be shared among participants. Within atomic, condensed matter and photonic many-body systems the distribution and sharing of entanglement is of particular…

Quantum Physics · Physics 2015-11-16 Xiao-Feng Qian , Miguel A. Alonso , J. H. Eberly

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

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

Binding free energies are a key element in understanding and predicting the strength of protein--drug interactions. While classical free energy simulations yield good results for many purely organic ligands, drugs including transition metal…

INTRODUCTION: Quantification of amyloid plaques (A), neurofibrillary tangles (T2), and neurodegeneration (N) using PET and MRI is critical for Alzheimer's disease (AD) diagnosis and prognosis. Existing pipelines face limitations regarding…

Image and Video Processing · Electrical Eng. & Systems 2025-07-16 Pierrick Coupé , Boris Mansencal , Floréal Morandat , Sergio Morell-Ortega , Nicolas Villain , Jose V. Manjón , Vincent Planche

Methods from artificial intelligence (AI), in general, and machine learning, in particular, have kept conquering new territories in numerous areas of science. Most of the applications of these techniques are restricted to the classification…

Biomolecules · Quantitative Biology 2022-10-24 Kristof Takacs , Balint Varga , Viktor Farkas , Andras Perczel , Vince Grolmusz

The real world obeys quantum physics and quantum computing presents an alternative way to map physical problems to systems that follow the same laws. Such computation fundamentally constitutes a better way to understand the most challenging…

Quantum Physics · Physics 2024-11-22 Elena Chachkarova , Terence Tse , Yordan Yordanov , Yao Wei , Cedric Weber

Predicting accurate protein-ligand binding affinity is important in drug discovery but remains a challenge even with computationally expensive biophysics-based energy scoring methods and state-of-the-art deep learning approaches. Despite…

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 immuno-infrared sensor detects target proteins in solution. Exemplary, the initial misfolding of amyloid beta (Abeta) peptides in blood is measured, enabling early risk prediction of Alzheimer's disease in the preclinical stage.…

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

Understanding the molecular-level mechanisms underpinning Alzheimer's disease (AD) by studying crucial genes associated with the disease remains a challenge. Alzheimer's, being a multifactorial disease, requires understanding the gene-gene…

Molecular Networks · Quantitative Biology 2025-08-08 Debanjan Konar , Neerav Sreekumar , Richard Jiang , Vaneet Aggarwal

Amyloid fibrillation is a protein self-assembly phenomenon that is intimately related to well-known human neurodegenerative diseases. During the past few decades, striking advances have been achieved in our understanding of the physical…

Biomolecules · Quantitative Biology 2017-09-06 Liu Hong , Chiu Fan Lee , Ya Jing Huang

In Alzheimer's disease research, for individuals who remain dementia-free through a given follow-up time, an important clinical question is how much longer they are likely to remain dementia-free. Quantiles of this remaining time provide…

Applications · Statistics 2026-05-01 Woojung Bae , Taekwon Hong , Sang Kyu Lee , Dongrak Choi , Jong-Hyeon Jeong

The amyloid state of proteins is widely studied with relevancy in neurology, biochemistry, and biotechnology. In contrast with amorphous aggregation, the amyloid state has a well-defined structure, consisting of parallel and anti-parallel…

Biomolecules · Quantitative Biology 2020-11-10 Laszlo Keresztes , Evelin Szogi , Balint Varga , Viktor Farkas , Andras Perczel , Vince Grolmusz