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In this paper we show that a dynamical description of the protein folding process provides an effective representation of equilibrium properties and it allows for a direct investigation of the mechanisms ruling the approach towards the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Roberto Livi , Antonio Politi

Monte Carlo simulations of protein folding show the emergence of a strong correlation between the relative contact order parameter, CO, and the folding time, t, of two-state folding proteins for longer chains with number of amino acids,…

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

Knotted proteins embed a physical (i.e., open) knot within their native structures. For decades, significant effort has been devoted to elucidating the functional role of knots in proteins, yet no consensus has been reached. Here, using…

Biomolecules · Quantitative Biology 2026-03-13 João NC Especial , Patrícia FN Faísca

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

Machine Learning · Computer Science 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

Using Monte Carlo dynamics and the Monte Carlo Histogram Method, the simple three-dimensional 27 monomer lattice copolymer is examined in depth. The thermodynamic properties of various sequences are examined contrasting the behavior of good…

chem-ph · Physics 2009-10-28 Nicholas D. Socci , José Nelson Onuchic

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 assume that the protein folding process follows two autonomous steps: the conformational search for the native, mainly ruled by the hydrophobic effect; and, the final adjustment stage, which eventually gives stability to the native. Our…

Biological Physics · Physics 2016-07-27 J. P. Dal Molin , A. Caliri

We review the recent progress in computational approaches to protein design which builds on advances in statistical-mechanical protein folding theory. In particular, we evaluate the degeneracy of the protein code (i.e. how many sequences…

Condensed Matter · Physics 2007-05-23 E. I. Shakhnovich

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

These lectures will address two questions. Is there a simple variational principle underlying the existence of secondary motifs in the native state of proteins? Is there a general approach which can qualitatively capture the salient…

Statistical Mechanics · Physics 2007-05-23 Jay Banavar , Amos Maritan , Cristian Micheletti , Flavio Seno

We study folding in 16-monomer heteropolymers on the square lattice. For a given sequence, thermodynamic properties and stability of the native state are unique. However, the kinetics of folding depends on the model of dynamics adopted for…

Statistical Mechanics · Physics 2009-10-31 Trinh Xuan Hoang , Marek Cieplak

Recent advances in coarse-grained lattice and off-lattice protein models are reviewed. The sequence dependence of thermodynamical folding properties are investigated and evidence for non-randomness of the binary sequences of good folders…

High Energy Physics - Lattice · Physics 2015-06-25 C. Peterson

In this letter, the possible dynamic scaling properties of protein molecules in folding are investigated theoretically by assuming that the protein molecules are percolated networks. It is shown that the fractal character and the fractal…

Condensed Matter · Physics 2007-05-23 Liang-Jian Zou , X. G. Gong , Zheng-Gang Zhu

The stability of model proteins with designed sequences is assessed in terms of the number of sequences (obtained from the designed sequence through mutations), which fold into 5the ``native'' conformation. By a complete enumeration of the…

Soft Condensed Matter · Physics 2009-10-31 R. A Broglia , G. Tiana , H. E. Roman , E. Vigezzi , E. I. Shakhnovich

Protein sequences serve as a natural record of the evolutionary constraints that shape their functional structures. We show that it is possible to use only sequence information to go beyond predicting native structures and global stability…

Biomolecules · Quantitative Biology 2025-07-02 Ezequiel A. Galpern , Ernesto A. Roman , Diego U. Ferreiro

We study the coupled dynamics of primary and secondary structure formation (i.e. slow genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and and…

Biomolecules · Quantitative Biology 2009-11-13 S. Rabello , A. C. C. Coolen , C. J. Perez-Vicente , F. Fraternali

Physical mechanisms underlying the empirical correlation between relative contact order (CO) and folding rate among naturally-occurring small single-domain proteins are investigated by evaluating postulated interaction schemes for a set of…

Statistical Mechanics · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

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

The thermodynamics of proteins indicate that folding/unfolding takes place either through stable intermediates or through a two-state process without intermediates. The rather short folding times of the two-state process indicate that…

Condensed Matter · Physics 2016-08-31 Audun Bakk , Johan S. Hoye , Alex Hansen , Kim Sneppen , Mogens Hogh Jensen

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla