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Natural protein sequences contain a record of their history. A common constraint in a given protein family is the ability to fold to specific structures, and it has been shown possible to infer the main native ensemble by analyzing…

Biomolecules · Quantitative Biology 2017-03-16 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

We present the results of a self-consistent, unified molecular dynamics study of simple model heteropolymers in the continuum with emphasis on folding, sequence design and the determination of the interaction parameters of the effective…

Statistical Mechanics · Physics 2009-10-31 Cecilia Clementi , Amos Maritan , Jayanth R. Banavar

A geometric analysis of protein folding, which complements many of the models in the literature, is presented. We examine the process from unfolded strand to the point where the strand becomes self-interacting. A central question is how it…

Mathematical Physics · Physics 2008-09-13 Walter A. Simmons , Joel L. Weiner

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

One of the main concerns of Anfinsen was to reveal the connection between the amino acid sequence and their biologically active conformation. This search gave rise to two crucial questions in structural biology, namely, why the proteins…

Biomolecules · Quantitative Biology 2022-10-12 Jorge A. Vila

Focusing on a small set of proteins that i) fold in a concerted, all-or-none fashion and ii) do not contain knots or slipknots, we show that the Gauss linking integral, the torsion and the number of sequence-distant contacts provide…

Quantitative Methods · Quantitative Biology 2019-10-01 E. Panagiotou , K. W. Plaxco

Protein structures are a very special class among all possible structures. It was suggested that a ``designability principle'' plays a crucial role in nature's selection of protein sequences and structures. Here we provide a theoretical…

Statistical Mechanics · Physics 2009-10-30 Hao Li , Chao Tang , Ned S. Wingreen

When described by a low-dimensional reaction coordinate, the rates of protein folding are determined by a subtle interplay between free-energy barriers and friction. While it is commonplace to extract free-energy profiles from molecular…

Soft Condensed Matter · Physics 2022-10-24 Benjamin A. Dalton , Cihan Ayaz , Lucas Tepper , Roland R. Netz

Protein sequences are believed to have been selected to provide the stability of, and reliable renaturation to, an encoded unique spatial fold. In recently proposed theoretical schemes, this selection is modeled as ``minimal frustration,''…

Condensed Matter · Physics 2009-10-28 Vijay S. Pande , Alexander Yu. Grosberg , Toyoichi Tanaka

We investigate the folding behavior of protein sequences by numerically studying all sequences with maximally compact lattice model through exhaustive enumeration. We get the prion-like behavior of protein folding. Individual proteins…

Biomolecules · Quantitative Biology 2014-11-18 Yong-Yun Ji , You-Quan Li , Jun-Wen Mao , Xiao-Wei Tang

Protein folding, peptide aggregation and crystallization, as well as adsorption of molecules on soft or solid substrates have an essential feature in common: In all these processes, structure formation is guided by a collective, cooperative…

Statistical Mechanics · Physics 2009-02-12 Michael Bachmann , Wolfhard Janke

What are the molecular mechanisms that dictate protein-protein binding stability and whether those are related to the ones behind protein fold stability are still largely open questions. Indeed, despite many past efforts, we still lack…

Biological Physics · Physics 2023-11-28 Fausta Desantis , Mattia Miotto , Lorenzo Di Rienzo , Edoardo Milanetti , Giancarlo Ruocco

A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

Biomolecules · Quantitative Biology 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

Proteins must fold quickly to acquire their biologically functional three-dimensional native structures. Hence, these are mainly stabilized by local contacts, while intricate topologies such as knots are rare. Here, we reveal the existence…

Biomolecules · Quantitative Biology 2019-06-20 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

Two proteins, one belonging to the mainly alpha class and the other belonging to the alpha/beta class, are selected to test a kinetic mechanism for protein folding. Targeted molecular dynamics is applied to generate folding pathways for…

Biological Physics · Physics 2011-01-04 Leonor Cruzeiro

Evolutionally conserved quantity that specifies folding nuclei is pursued by a case study for a small protein (PDB code: 1ten). First it is demonstrated that the sequences of amino acids at folding nuclei are not conserved. Then 3D…

Biological Physics · Physics 2007-05-23 S. Nakamura , O. Narikiyo

Equilibrating proteins and other biomacromolecules is cardinal for molecular dynamics simulation of such biological systems in which they perform free dynamics without any externally-applied mechanical constraint, until thermodynamic…

Soft Condensed Matter · Physics 2021-02-11 Ashkan Shekaari , Mahmoud Jafari

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

Biomolecules · Quantitative Biology 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

The results of minimal model calculations suggest that the stability and the kinetic accessibility of the native state of small globular proteins are controlled by few "hot" sites. By mean of molecular dynamics simulations around the native…

Soft Condensed Matter · Physics 2007-05-23 G. Tiana , F. Simona , G. M. S. De Mori , R. A. Broglia , G. Colombo
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