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We show how to localize and quantify the functional evolutionary constraints on natural proteins. The method compares the perturbations caused by local sequence variants to the energetics of the protein folding process and to the…

Biomolecules · Quantitative Biology 2025-08-12 Ezequiel A. Galpern , Carlos Bueno , Ignacio E. Sánchez , Peter G. Wolynes , Diego U. Ferreiro

Curvatures in the most probable rupture force ($f^*$) versus log-loading rate ($\log{r_f}$) observed in dynamic force spectroscopy (DFS) on biomolecular complexes are interpreted using a one-dimensional free energy profile with multiple…

Biological Physics · Physics 2015-06-04 Changbong Hyeon , D. Thirumalai

The fundamental law for protein folding is the Thermodynamic Principle: the amino acid sequence of a protein determines its native structure and the native structure has the minimum Gibbs free energy. If all chemical problems can be…

Biomolecules · Quantitative Biology 2012-04-10 Yi Fang

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learnt how to extract this information so as to predict the detailed, biological active, three-dimensional structure of…

Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

We introduce a powerful iterative algorithm to compute protein folding pathways, with realistic all-atom force fields. Using the path integral formalism, we explicitly derive a modified Langevin equation which samples directly the ensemble…

Biological Physics · Physics 2017-05-08 S. Orioli , S. A Beccara , P. Faccioli

Stretching of a protein by a fluid flow is compared to that in a force-clamp apparatus. The comparison is made within a simple topology-based dynamical model of a protein in which the effects of the flow are implemented using Langevin…

Biomolecules · Quantitative Biology 2009-11-13 P. Szymczak , Marek Cieplak

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

Protein folding is a problem of large interest since it concerns the mechanism by which the genetic information is translated into proteins with well defined three-dimensional (3D) structures and functions. Recently theoretical models have…

Biomolecules · Quantitative Biology 2007-05-23 Emidio Capriotti , Rita Casadio

The rates of protein folding with photon absorption or emission and the cross section of photon -protein inelastic scattering are calculated from the quantum folding theory by use of standard field-theoretical method. All these protein…

Biomolecules · Quantitative Biology 2011-05-13 Liaofu Luo

The quantitative description of model protein folding kinetics using a diffusive collective reaction coordinate is examined. Direct folding kinetics, diffusional coefficients and free energy profiles are determined from Monte Carlo…

Condensed Matter · Physics 2016-08-31 N. D. Socci , J. N. Onuchic , P. G. Wolynes

We describe the results obtained from an improved model for protein folding. We find that a good agreement with the native structure of a 46 residue long, five-letter protein segment is obtained by carefully tuning the parameters of the…

Biomolecules · Quantitative Biology 2009-11-11 Andrea Nobile , Federico Rapuano

Over the last 10-15 years a general understanding of the chemical reaction of protein folding has emerged from statistical mechanics. The lessons learned from protein folding kinetics based on energy landscape ideas have benefited protein…

Biomolecules · Quantitative Biology 2007-05-23 Michael C. Prentiss , Corey Hardin , Michael P. Eastwood , Chenghong Zong , Peter G. Wolynes

The viscosity dependence of the folding rates for four sequences (the native state of three sequences is a beta-sheet, while the fourth forms an alpha-helix) is calculated for off-lattice models of proteins. Assuming that the dynamics is…

Soft Condensed Matter · Physics 2009-10-30 D. K. Klimov , D. Thirumalai

In recent past, experiments and simulations have suggested that apart from the solvent friction, friction arising from the protein itself plays an important role in protein folding by affecting the intra-chain loop formation dynamics. This…

Soft Condensed Matter · Physics 2014-06-25 Nairhita Samanta , Jayanta Ghosh , Rajarshi Chakrabarti

We consider a simplified model of protein folding, with binary degrees of freedom, whose equilibrium thermodynamics is exactly solvable. Based on this exact solution, the kinetics is studied in the framework of a local equilibrium approach,…

Statistical Mechanics · Physics 2007-05-23 Marco Zamparo , Alessandro Pelizzola

We carry out a theoretical study of the vibrational and relaxation properties of naturally-occurring proteins with the purpose of characterizing both the folding and equilibrium thermodynamics. By means of a suitable model we provide a full…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Gianluca Lattanzi , Amos Maritan

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

Protein function does not solely depend on structure but often relies on dynamical transitions between distinct conformations. Despite this fact, our ability to characterize or predict protein dynamics is substantially less developed…

Statistical Mechanics · Physics 2026-05-08 Michael A. Sauer , Souvik Mondal , Brandon Neff , Sthitadhi Maiti , Matthias Heyden

Kinetics of folding of a protein held in a force-clamp are compared to an unconstrained folding. The comparison is made within a simple topology-based dynamical model of ubiquitin. We demonstrate that the experimentally observed variations…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Piotr Szymczak