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Over the years, advances in experimental and computational methods have helped us to understand the role of thermodynamic, kinetic and active (chaperone-aided) effects in coordinating the folding steps required to achieving a knotted native…

Biomolecules · Quantitative Biology 2016-10-20 Sophie E. Jackson , Antonio Suma , Cristian Micheletti

We discuss recent theoretical developments in the study of simple lattice models of proteins. Such models are designed to understand general features of protein structures and mechanism of folding. Among the topics covered are (i) the use…

Soft Condensed Matter · Physics 2007-05-23 D. Thirumalai , D. K. Klimov

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

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

Understanding protein folding has been one of the great challenges in biochemistry and molecular biophysics. Over the past 50 years, many thermodynamic and kinetic studies have been performed addressing the stability of globular proteins.…

Biomolecules · Quantitative Biology 2014-04-01 Ernesto A. Roman , F. Luis Gonzalez Flecha

Folding kinetics of a lattice model of protein is studied. It uses the Random Energy Model for the intrachain couplings and a temperature dependent free energy of solvation derived from a realistic hydration model of apolar solutes. The…

Statistical Mechanics · Physics 2008-11-06 Olivier Collet

The thermodynamic properties for three different types of off-lattice four-strand beta-sheet protein models interacting via a hybrid Go-type potential have been investigated. Discontinuous molecular dynamic simulations have been performed…

Biological Physics · Physics 2009-11-07 Hyunbum Jang , Carol K. Hall , Yaoqi Zhou

Using a structure-based coarse-grained model of proteins, we study the mechanism of unfolding of knotted proteins through heating. We find that the dominant mechanisms of unfolding depend on the temperature applied and are generally…

Biomolecules · Quantitative Biology 2017-01-23 Yani Zhao , Mateusz Chwastyk , Marek Cieplak

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Many enhanced sampling methods, such as Umbrella Sampling, Metadynamics or Variationally Enhanced Sampling, rely on the identification of appropriate collective variables. For proteins, even small ones, finding appropriate collective…

Chemical Physics · Physics 2017-09-15 Ferruccio Palazzesi , Omar Valsson , Michele Parrinello

We present a simple model of protein folding dynamics that captures key qualitative elements recently seen in all-atom simulations. The goals of this theory are to serve as a simple formalism for gaining deeper insight into the physical…

Biological Physics · Physics 2015-05-19 Vijay S. Pande

The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

The folding of naturally occurring, single domain proteins is usually well-described as a simple, single exponential process lacking significant trapped states. Here we further explore the hypothesis that the smooth energy landscape this…

Biomolecules · Quantitative Biology 2007-05-23 P. F. N. Faisca , K. W. Plaxco

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

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

The dynamics of folding of proteins is studied by means of a phenomenological master equation. The energy distribution is taken as a truncated exponential for the misfolded states plus a native state sitting below the continuum. The…

Soft Condensed Matter · Physics 2007-05-23 Estelle Pitard , Henri Orland

Protein folding cooperativity is defined by the nature of the finite-size thermodynamic transition exhibited upon folding: two-state transitions show a free energy barrier between the folded and unfolded ensembles, while downhill folding is…

Biomolecules · Quantitative Biology 2017-08-23 Tristan Bereau , Michael Bachmann , Markus Deserno

Thermal unfolding of proteins is compared to folding and mechanical stretching in a simple topology-based dynamical model. We define the unfolding time and demonstrate its low-temperature divergence. Below a characteristic temperature,…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Joanna I. Sulkowska

The conformational change of biological macromolecule is investigated from the point of quantum transition. A quantum theory on protein folding is proposed. Compared with other dynamical variables such as mobile electrons, chemical bonds…

Biomolecules · Quantitative Biology 2013-08-06 LiaoFu Luo

The folding ability of a heteropolymer model for proteins subject to Monte Carlo dynamics on a simple cubic lattice is shown to be strongly correlated with the energy gap between the native state and the structurally dissimilar part of the…

Condensed Matter · Physics 2007-05-23 Aaron R. Dinner , Victor Abkevich , Eugene Shakhnovich , Martin Karplus