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The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

Different aspects of protein folding are illustrated by simplified polymer models. Stressing the diversity of side chains (residues) leads one to view folding as the freezing transition of an heteropolymer. Technically, the most common…

Soft Condensed Matter · Physics 2007-05-23 T. Garel

We develop a path-based approach to continuous-time random walks on networks with arbitrarily weighted edges. We describe an efficient numerical algorithm for calculating statistical properties of the stochastic path ensemble. After…

Populations and Evolution · Quantitative Biology 2014-08-19 Michael Manhart , Alexandre V. Morozov

Phi-values are experimental measures of how the kinetics of protein folding is changed by single-site mutations. Phi-values measure energetic quantities, but are often interpreted in terms of the structures of the transition state ensemble.…

Biomolecules · Quantitative Biology 2007-05-23 Claudia Merlo , Ken A. Dill , Thomas R. Weikl

Understanding the relationship between protein sequence, function, and stability is a fundamental problem in biology. While high-throughput methods have produced large numbers of sequence-function pairs, functional assays do not distinguish…

Biomolecules · Quantitative Biology 2018-12-03 Jakub Otwinowski

In this paper, we introduce an approach to the protein folding problem from the point of view of statistical physics. Protein folding is a stochastic process by which a polypeptide folds into its characteristic and functional 3D structure…

Statistical Mechanics · Physics 2011-04-26 Jinzhi Lei , Kerson Huang

We propose a scenario for the prebiotic co-evolution of RNA and of fast folding proteins with large entropy gaps as observed today. We show from very general principles that the folding and unfolding of the proteins synthesized by RNA can…

Soft Condensed Matter · Physics 2007-05-23 Ayse Erzan , Erkan Tuzel

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

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

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

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

Metadynamics is a powerful computational tool to obtain the free energy landscape of complex systems. The Monte Carlo algorithm has proven useful to calculate thermodynamic quantities associated with simplified models of proteins, and thus…

Statistical Mechanics · Physics 2007-10-04 F. Marini , C. Camilloni , D. Provasi , R. A. Broglia , G. Tiana

A local equilibrium approach for the kinetics of a simplified protein folding model, whose equilibrium thermodynamics is exactly solvable, was developed in [M. Zamparo and A. Pelizzola, Phys. Rev. Lett. 97, 068106 (2006)]. Important…

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

Naturally evolving proteins gradually accumulate mutations while continuing to fold to thermodynamically stable native structures. This process of neutral protein evolution is an important mode of genetic change, and forms the basis for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Jesse D Bloom , Alpan Raval , Claus O Wilke

Protein Folding is concerned with the reasons and mechanism behind a protein's tertiary structure. The thermodynamic hypothesis of Anfinsen postulates an universal energy function (UEF) characterizing the tertiary structure, defined…

Computational Engineering, Finance, and Science · Computer Science 2014-04-04 Hammurabi Mendes , Sorin Istrail

We present a unified framework for folding kinetics of proteins and RNA. The basis for this framework relies on the notion of topological frustration, which gives rise to several competing basins of attraction (CBA) in addition to the…

Soft Condensed Matter · Physics 2009-09-25 D. Thirumalai , D. K. Klimov , S. A. Woodson

Protein conformational transitions, which are essential for function, may be driven either by entropy or enthalpy when molecular systems comprising solute and solvent molecules are the focus. Revealing thermodynamic origin of a given…

Biomolecules · Quantitative Biology 2015-05-04 Kai Wang , Shiyang Long , Zhiming Zhang , Lanru Liu , Qimeng Wang , Pu Tian

Using Wang-Landau sampling with suitable Monte Carlo trial moves (pull moves and bond-rebridging moves combined) we have determined the density of states and thermodynamic properties for a short sequence of the HP protein model. For free…

Soft Condensed Matter · Physics 2015-03-18 Ying Wai Li , Thomas Wüst , David P. Landau

In recent years single molecule force spectroscopy has opened a new avenue to provide profiles of the complex energy landscape of biomolecules. In this field, quantitative analyses of the data employing sound theoretical models, have played…

Biomolecules · Quantitative Biology 2015-01-15 Changbong Hyeon , Michael Hinczewski , D. Thirumalai

In this study, variations with respect to temperature of the increments of enthalpy and Gibbs energy, arising in the dissolution of proteins in water, have been investigated by the methods of statistical thermodynamics. In this formalism,…

Statistical Mechanics · Physics 2007-05-23 G. Oylumluoglu , F. Buyukkilic , D. Demirhan
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