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In this Note we study a mathematical model for the progression of Alzheimer's Disease in the human brain. The novelty of our approach consists in the representation of the brain as two superposed graphs where toxic proteins diffuse, the…

Analysis of PDEs · Mathematics 2022-12-29 Michiel Bertsch , Bruno Franchi , Maria Carla Tesi , Veronica Tora

In this conceptual paper we propose to explore the analogy between ontic/epistemic description of quantum phenomena and interrelation between dynamics of conformational and functional states of proteins. Another new idea is to apply theory…

Biomolecules · Quantitative Biology 2018-07-18 Andrei Khrennikov , Ekaterina Yurova

During the last decade, network approaches became a powerful tool to describe protein structure and dynamics. Here we review the links between disordered proteins and the associated networks, and describe the consequences of local,…

Neither of the two prevalent theories, namely thermodynamic stability and kinetic stability, provides a comprehensive understanding of protein folding. The thermodynamic theory is misleading because it assumes that free energy is the…

Biological Physics · Physics 2013-07-22 Ji Xu , Mengzhi Han , Ying Ren , Jinghai Li

We inquire to what extent protein peptide plane and side chain dynamics can be reconstructed from knowledge of C-alpha dynamics. Due to lack of experimental data we analyze all atom molecular dynamics trajectories from Anton supercomputer,…

Biomolecules · Quantitative Biology 2019-01-23 Jiaojiao Liu , Jin Dai , Jianfeng He , Xubiao Peng , Antti J. Niemi

Protein collapse can be viewed as a dynamical phase transition, during which new scales and collective variables become excited while the old ones recede and fade away. This causes formidable computational bottle-necks in approaches that…

Biological Physics · Physics 2011-11-09 Andrey Krokhotin , Martin Lundgren , Antti J. Niemi

Accurately predicting protein structures from amino acid sequences remains a fundamental challenge in computational biology, with profound implications for understanding biological functions and enabling structure-based drug discovery.…

The dynamic nature of proteins, influenced by ligand interactions, is essential for comprehending protein function and progressing drug discovery. Traditional structure-based drug design (SBDD) approaches typically target binding sites with…

Biomolecules · Quantitative Biology 2025-03-07 Xiangxin Zhou , Yi Xiao , Haowei Lin , Xinheng He , Jiaqi Guan , Yang Wang , Qiang Liu , Feng Zhou , Liang Wang , Jianzhu Ma

The native structures of proteins, except for notable exceptions of intrinsically disordered proteins, in general take their most stable conformation in the physiological condition to maintain their structural framework so that their…

Biomolecules · Quantitative Biology 2021-10-26 Lyman Monroe , Daisuke Kihara

Hemoglobin exhibits allosteric structural changes upon ligand binding due to the dynamic interactions between the ligand binding sites, the amino acids residues and some other solutes present under physiological conditions. In the present…

Chemical Physics · Physics 2012-10-15 Olaniyi K. Yusuff , Jonathan O. Babalola , Giovanni Bussi , Simone Raugei

It was reported that buffalo is a low susceptibility species resisting to prion diseases, which are invariably fatal and highly infectious neurodegenerative diseases that affect a wide variety of species. In molecular structures, TSE…

Biological Physics · Physics 2016-03-31 Jiapu Zhang , Feng Wang , Subhojyoti Chatterjee

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

Proteins are inherently multiscale physical systems whose functional properties emerge from coordinated structural organization across multiple spatial resolutions, ranging from atomic interactions to global fold topology. However, existing…

Machine Learning · Computer Science 2026-05-13 Viet Thanh Duy Nguyen , John K. Johnstone , Truong-Son Hy

Proteins execute various activities required by biological cells. Further, they structurally support and pro-mote important biochemical reactions which functionally are sparked by active-sites. Active-sites are regions where reac-tions and…

Quantitative Methods · Quantitative Biology 2020-05-22 Devaun McFarland , Homayoun Valafar

The local structure of a protein strongly impacts its function and interactions with other molecules. Therefore, a concise, informative representation of a local protein environment is essential for modeling and designing proteins and…

In a recent Letter, Gutin, Abkevich, and Shakhnovich (GAS) reported on a series of dynamical Monte Carlo simulations on lattice models of proteins. Based on these highly simplified models, they found that four different potential energies…

Statistical Mechanics · Physics 2009-10-30 Carlos J. Camacho

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) 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

Protein-protein interactions (PPIs) are essentials for many biological processes where two or more proteins physically bind together to achieve their functions. Modeling PPIs is useful for many biomedical applications, such as vaccine…

Biomolecules · Quantitative Biology 2021-12-10 Yang Xue , Zijing Liu , Xiaomin Fang , Fan Wang

Protein structure determination has long been one of the primary challenges of structural biology, to which deep machine learning (ML)-based approaches have increasingly been applied. However, these ML models generally do not incorporate…

Biological Physics · Physics 2025-11-14 Tom Pan , Evan Dramko , Mitchell D. Miller , Anastasios Kyrillidis , George N. Phillips
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