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Understanding the protein folding process is an outstanding issue in biophysics; recent developments in molecular dynamics simulation have provided insights into this phenomenon. However, the large freedom of atomic motion hinders the…

Computational Physics · Physics 2020-06-18 Takashi Ichinomiya , Ippei Obayashi , Yasuaki Hiraoka

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

In typical single-molecule force spectroscopy experiments the mechanical unfolding of molecular complexes or biomolecules is studied applying a force ramp to one end of the system while the other end is kept fixed in space. The…

Soft Condensed Matter · Physics 2026-05-18 Marco Oestereich , Jürgen Gauss , Gregor Diezemann

The folding of a peptide chain into a three dimensional structure is a thermodynamically driven process such that the chain naturally evolves to form domains of similar amino acids. The formation of this domain occurs by curling the one…

Statistical Mechanics · Physics 2018-02-01 Theja N. De Silva , Vattika Sivised

Mechanical unfolding and refolding of ubiquitin are studied by Monte Carlo simulations of a Go model with binary variables. The exponential dependence of the time constants on the force is verified, and folding and unfolding lengths are…

Soft Condensed Matter · Physics 2008-04-22 A. Imparato , A. Pelizzola

A geometric analysis of the global properties of the energy landscape of a minimalistic model of a polypeptide is presented, which is based on the relation between dynamical trajectories and geodesics of a suitable manifold, whose metric is…

Statistical Mechanics · Physics 2009-11-13 Lorenzo N. Mazzoni , Lapo Casetti

Proteins fold using a two-state or multi-state kinetic mechanisms, but up to now there isn't a first-principle model to explain this different behaviour. We exploit the network properties of protein structures by introducing novel…

Molecular Networks · Quantitative Biology 2015-12-04 Giulia Menichetti , Piero Fariselli , Daniel Remondini

Protein flexibility is crucial for understanding protein structures, functions, and dynamics, and it can be measured through experimental methods such as X-ray crystallography. Theoretical approaches have also been developed to predict…

Biomolecules · Quantitative Biology 2024-11-06 Hongsong Feng , Jeffrey Y. Zhao , Guo-Wei Wei

In spite of decades of research, much remains to be discovered about folding: the detailed structure of the initial (unfolded) state, vestigial folding instructions remaining only in the unfolded state, the interaction of the molecule with…

Biological Physics · Physics 2018-11-26 Walter A. Simmons

Although the stretching of polymers and biomolecules is important in numerous settings, their response when confined to two-dimensions is relatively poorly-studied. In this paper, we derive closed-form analytical expressions for the…

Soft Condensed Matter · Physics 2013-05-28 Sara Iliafar , Dmitri Vezenov , Anand Jagota

The lifetime of protein domains and ligand-receptor complexes under force is crucial for mechanosensitive functions, while many aspects of how force affects the lifetime still remain poorly understood. Here, we report a new analytical…

Biological Physics · Physics 2018-02-15 Shiwen Guo , Qingnan Tang , Mingxi Yao , Shimin Le , Hu Chen , Jie Yan

Background: Many attempts have been made to resolve in time the folding of model proteins in computer simulations. Different computational approaches have emerged. Some of these approaches suffer from the insensitivity to the geometrical…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

Living systems rely on coordinated molecular interactions, especially those related to gene expression and protein activity. The Unfolded Protein Response is a crucial mechanism in eukaryotic cells, activated when unfolded proteins exceed a…

The energy landscapes of proteins have evolved to be different from most random heteropolymers. Many studies have concluded that evolutionary selection for rapid and reliable folding to a given structure that is stable at biological…

Disordered Systems and Neural Networks · Physics 2009-11-10 Steven S. Plotkin , Peter G. Wolynes

Prediction of protein-ligand binding affinity is a major goal in drug discovery. Generally, free energy gap is calculated between two states (e.g., ligand binding and unbinding). The energy gap implicitly includes the effects of changes in…

Biomolecules · Quantitative Biology 2022-05-20 Ikki Yasuda , Katsuhiro Endo , Eiji Yamamoto , Yoshinori Hirano , Kenji Yasuoka

A four states phase diagram for protein folding as a function of temperature and solvent quality is derived from an improved 2-d lattice model taking into account the temperature dependence of the hydrophobic effect. The phase diagram…

Statistical Mechanics · Physics 2009-11-11 Olivier Collet

Mechanical stretching of secondary structures is studied through molecular dynamics simulations of a Go-like model. Force vs. displacement curves are studied as a function of the stiffness and velocity of the pulling device. The succession…

Soft Condensed Matter · Physics 2007-05-23 Marek Cieplak , Trinh Xuan Hoang , Mark O. Robbins

We refine a protein model that reproduces fundamental aspects of protein thermodynamics. The model exhibits two transitions, hot and cold unfolding. The number of relevant parameters is reduced to three: 1) binding energy of folding…

Condensed Matter · Physics 2007-05-23 Audun Bakk , Johan S. Hoye , Alex Hansen , Kim Sneppen

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

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai
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