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The understanding, and even the description of protein folding is impeded by the complexity of the process. Much of this complexity can be described and understood by taking a statistical approach to the energetics of protein conformation,…

chem-ph · Physics 2008-02-03 J. D. Bryngelson , J. N. Onuchic , N. D. Socci , P. G. Wolynes

Molecular dynamics simulations of folding in an off-lattice protein model reveal a nucleation scenario, in which a few well-defined contacts are formed with high probability in the transition state ensemble of conformations. Their…

Statistical Mechanics · Physics 2009-09-25 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

For the vast majority of naturally occurring, small, single domain proteins folding is often described as a two-state process that lacks detectable intermediates. This observation has often been rationalized on the basis of a nucleation…

Biomolecules · Quantitative Biology 2007-07-09 R. D. M. Travasso , P. F. N. Faisca , M. M. Telo da Gama

Modeling and simulating the protein folding process overall remains a grand challenge in computational biology. We systematically investigate end-to-end quantum algorithms for simulating various protein dynamics with effects, such as…

Quantum Physics · Physics 2025-04-17 Zhenning Liu , Xiantao Li , Chunhao Wang , Jin-Peng Liu

By observing trends in the folding kinetics of experimental 2-state proteins at their transition midpoints, and by observing trends in the barrier heights of numerous simulations of coarse grained, C-alpha model, Go proteins, we show that…

Quantitative Methods · Quantitative Biology 2009-11-10 B. Öztop , M. R. Ejtehadi , S. S. Plotkin

Within the frame of an effective, coarse-grained hydrophobic-polar protein model, we employ multicanonical Monte Carlo simulations to investigate free-energy landscapes and folding channels of exemplified heteropolymer sequences, which are…

Soft Condensed Matter · Physics 2009-11-13 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

An all-atom model of proteins is used to show that the same sequence of amino acids can have many alternative structures, that are very distant from, and that can be as stable as, the corresponding native structure. Such alternative…

Biological Physics · Physics 2008-02-11 Leonor Cruzeiro

We present a simple model of protein folding dynamics that captures key qualitative elements recently seen in all-atom simulations. The goals of this theory are to serve as a simple formalism for gaining deeper insight into the physical…

Biological Physics · Physics 2015-05-19 Vijay S. Pande

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

The assumption that similar structures have similar folding probabilities ($p_{fold}$) leads naturally to a procedure to evaluate $p_{fold}$ for every snapshot saved along an equilibrium folding-unfolding trajectory of a structured peptide…

Biomolecules · Quantitative Biology 2009-11-11 Francesco Rao , Giovanni Settanni , Enrico Guarnera , Amedeo Caflisch

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

Proteins populate a manifold in the high-dimensional sequence space whose geometrical structure guides their natural evolution. Leveraging recently-developed structure prediction tools based on transformer models, we first examine the…

Biomolecules · Quantitative Biology 2023-11-13 A. Zambon , R. Zecchina , G. Tiana

Single-molecule atomic force spectroscopy probes elastic properties of titin, ubiquitin and other relevant proteins. We explain bioprotein folding dynamics under both length- and force-clamp by modeling polyprotein modules as particles in a…

Statistical Mechanics · Physics 2016-11-17 L. L. Bonilla , A. Carpio , A. Prados

In the framework of a lattice-model study of protein folding, we investigate the interplay between designability, thermodynamic stability, and kinetics. To be ``protein-like'', heteropolymers must be thermodynamically stable, stable against…

Statistical Mechanics · Physics 2009-10-31 Régis Mélin , Hao Li , Ned S. Wingreen , Chao Tang

A suitable feature representation that can both preserve the data intrinsic information and reduce data complexity and dimensionality is key to the performance of machine learning models. Deeply rooted in algebraic topology, persistent…

Algebraic Topology · Mathematics 2018-11-02 Chi Seng Pun , Kelin Xia , Si Xian Lee

Protein sequences serve as a natural record of the evolutionary constraints that shape their functional structures. We show that it is possible to use only sequence information to go beyond predicting native structures and global stability…

Biomolecules · Quantitative Biology 2025-07-02 Ezequiel A. Galpern , Ernesto A. Roman , Diego U. Ferreiro

We study the mechanical unfolding of a simple model protein. The Langevin dynamics results are analyzed using Markov-model methods which allow to describe completely the configurational space of the system. Using transition path theory we…

Biological Physics · Physics 2015-06-08 Rafael Tapia-Rojo , Sergio Arregui , Juan José Mazo , Fernando Falo

Exploring and understanding the protein-folding problem has been a long-standing challenge in molecular biology. Here, using molecular dynamics simulation, we reveal how parallel distributed adjacent planar peptide groups of unfolded…

Biomolecules · Quantitative Biology 2019-01-11 Xiaoliang Ma , Chengyu Hou , Liping Shi , Long Li , Jiacheng Li , Lin Ye , Lin Yang , Xiaodong He

We present a method to investigate the kinetics of protein folding on a long time-scale and the dynamics underlying the formation of secondary and tertiary structures during the entire reaction. The approach is based on the formal analogy…

Biomolecules · Quantitative Biology 2009-11-11 P. Faccioli , M. Sega , F. Pederiva , H. Orland

Understanding protein folding has been one of the great challenges in biochemistry and molecular biophysics. Over the past 50 years, many thermodynamic and kinetic studies have been performed addressing the stability of globular proteins.…

Biomolecules · Quantitative Biology 2014-04-01 Ernesto A. Roman , F. Luis Gonzalez Flecha