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We provide evidence that the energy landscapes of folded proteins do not shift with temperature, but the onset of functional dynamics is associated with its effective sampling. The motion of the backbone is described by three distinct…

Soft Condensed Matter · Physics 2007-05-23 Canan Baysal , Ali Rana Atilgan

We propose a universal elastic energy for proteins, which depends only on the radius of gyration $R_{g}$ and the residue number $N$. It is constructed using physical arguments based on the hydrophobic effect and hydrogen bonding. Adjustable…

Statistical Mechanics · Physics 2013-09-26 Jinzhi Lei , Kerson Huang

The thermodynamic behavior of a three-dimensional off-lattice model for protein folding is probed. The model has only two types of residues, hydrophobic and hydrophilic. In absence of local interactions, native structure formation does not…

Chemical Physics · Physics 2009-10-30 Anders Irbäck , Carsten Peterson , Frank Potthast , Ola Sommelius

The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I…

Statistical Mechanics · Physics 2009-10-31 Chao Tang

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

The folding dynamics of small single-domain proteins is a current focus of simulations and experiments. Many of these proteins are 'two-state folders', i.e. proteins that fold rather directly from the denatured state to the native state,…

Biomolecules · Quantitative Biology 2020-01-08 Thomas R. Weikl

Equations that govern the temperature-dependence of the rate constants, Gibbs energies,enthalpies, entropies and heat capacities of activation for folding and unfolding of spontaneously-folding fixed two-state systems have been derived…

Soft Condensed Matter · Physics 2016-05-11 Robert S. Sade

This paper builds upon the fundamental work of Niwa et al. [34], which provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free…

Computational Engineering, Finance, and Science · Computer Science 2015-07-22 Lorenzo Livi , Alessandro Giuliani , Antonello Rizzi

The thermodynamics of the small SH3 protein domain is studied by means of a simplified model where each bead-like amino acid interacts with the others through a contact potential controlled by a 20x20 random matrix. Good folding sequences,…

Biomolecules · Quantitative Biology 2009-11-11 A. Amatori , J. Ferkinghoff-Borg , G. Tiana , R. A. Broglia

A variety of experimental and theoretical studies have established that the folding process of monomeric proteins is strongly influenced by the topology of the native state. In particular, folding times have been shown to correlate well…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti

Monte Carlo simulations of a simple lattice model of protein folding show two distinct regimes depending on the chain length. The first regime well describes the folding of small protein sequences and its kinetic counterpart appears to be…

Soft Condensed Matter · Physics 2007-05-23 P. F. N. Faisca , R. C. Ball

The probability distribution of sequences with maximum entropy that satisfies a given amino acid composition at each site and a given pairwise amino acid frequency at each site pair is a Boltzmann distribution with $\exp(-\psi_N)$, where…

Populations and Evolution · Quantitative Biology 2017-04-04 Sanzo Miyazawa

In the cell, proteins fold and perform complex functions through global structural rearrangements. Function requires a protein to be at the brink of stability to be susceptible to small environmental fluctuations, yet stable enough to…

Protein folding is a universal process, very fast and accurate, which works consistently (as it should be) in a wide range of physiological conditions. The present work is based on three premises, namely: ($i$) folding reaction is a process…

Biological Physics · Physics 2015-05-20 J. P. Dal Molin , M. A. A. da Silva , A. Caliri

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

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

Soft Condensed Matter · Physics 2015-06-16 Wen-Sheng Xu , Karl F. Freed

We analyze the dependence of cooperativity of the thermal denaturation transition and folding rates of globular proteins on the number of amino acid residues, $N$, using lattice models with side chains,off-lattice Go models and the…

Biomolecules · Quantitative Biology 2016-09-28 Maksim Kouza , Mai Suan Li , Edward P. O'Brien , Chin-Kun Hu , D. Thirumalai

We develop a theoretical approach to the protein folding problem based on out-of-equilibrium stochastic dynamics. Within this framework, the computational difficulties related to the existence of large time scale gaps in the protein folding…

Quantitative Methods · Quantitative Biology 2009-11-13 M. Sega , P. Faccioli , F. Pederiva , G. Garberoglio , H. Orland

Perturbing a Go model towards a realistic protein Hamiltonian by adding non-native interactions, we find that the folding rate is in general enhanced as ruggedness is initially increased, as long as the protein is sufficiently large and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Steven S. Plotkin

We introduce a quantity, the entropic susceptibility, that measures the thermodynamic importance-for the folding transition-of the contacts between amino acids in model proteins. Using this quantity, we find that only one equilibrium run of…

Statistical Mechanics · Physics 2009-10-31 Antonio Scala , Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley
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