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Monte Carlo simulations show that long-range interactions play a major role in determining the folding rates of 48-mer three-dimensional lattice polymers modelled by the Go potential. For three target structures with different native…

Biomolecules · Quantitative Biology 2007-05-23 P. F. N. Faisca , M. M. Telo da Gama , A. Nunes

The binding of a ligand molecule to a protein is often accompanied by conformational changes of the protein. A central question is whether the ligand induces the conformational change (induced-fit), or rather selects and stabilizes a…

Biomolecules · Quantitative Biology 2008-09-04 Thomas R. Weikl , Carola von Deuster

The primary structure of proteins, that is their sequence, represents one of the most abundant set of experimental data concerning biomolecules. The study of correlations in families of co--evolving proteins by means of an inverse…

Biomolecules · Quantitative Biology 2015-06-16 Sara Lui , Guido Tiana

It has recently been discovered that many biological systems, when represented as graphs, exhibit a scale-free topology. One such system is the set of structural relationships among protein domains. The scale-free nature of this and other…

Populations and Evolution · Quantitative Biology 2009-11-10 Eric J. Deeds , Eugene I. Shakhnovich

Proteins are composed of chains of amino acids that fold into complex three-dimensional structures. Several key features, such as the radius of gyration, fraction of core amino acids $f_{\rm core}$, packing fraction $\langle \phi\rangle$ of…

Soft Condensed Matter · Physics 2025-11-07 Jack A. Logan , Jacob Sumner , Alex T. Grigas , Mark D. Shattuck , Corey S. OHern

Given native 2D contact map, protein 3D structure could be reconstructed with accuracy of 2A or better, and such reconstruction is a feasible computational approach for protein folding problem. The prediction accuracy from traditional…

Biomolecules · Quantitative Biology 2019-06-12 Yuhong Wang , Wei Li , Hongmao Sun , Kennie Cruz-Gutierrez

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

Motivation. Protein contact map describes the pairwise spatial and functional relationship of residues in a protein and contains key information for protein 3D structure prediction. Although studied extensively, it remains very challenging…

Quantitative Methods · Quantitative Biology 2014-01-21 Zhiyong Wang , Jinbo Xu

We propose a new deterministic methodology to predict RNA sequence and protein folding. Is stem enough for structure prediction? The main idea is to consider all possible stem formation in the given sequence. With the stem loop energy and…

Discrete Mathematics · Computer Science 2022-01-19 Mengyi Tang , Kumbit Hwang , Sung Ha Kang

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

Optimal structure of proteins is described by linear stochastic differential equation with mean decrease of free energy and volatility. Structure determining strategy is given by a twin of stochastic variables for which empirical conditions…

Biomolecules · Quantitative Biology 2007-05-23 Toshio Fukumi

A statistical model of protein families, called profile conditional random fields (CRFs), is proposed. This model may be regarded as an integration of the profile hidden Markov model (HMM) and the Finkelstein-Reva (FR) theory of protein…

Biomolecules · Quantitative Biology 2009-06-01 Akira R. Kinjo

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

Geometric constraints impact the formation of a broad range of spatial networks, from amino acid chains folding to proteins structures to rearranging particle aggregates. How the network of interactions dynamically self-organizes in such…

Molecular Networks · Quantitative Biology 2016-10-19 Nora Molkenthin , Marc Timme

Voids exist in proteins as packing defects and are often associated with protein functions. We study the statistical geometry of voids in two-dimensional lattice chain polymers. We define voids as topological features and develop a simple…

Biological Physics · Physics 2009-11-07 Jie Liang , Jinfeng Zhang , Rong Chen

Studying evolutionary correlations in alignments of homologous sequences by means of an inverse Potts model has proven useful to obtain residue-residue contact energies and to predict contacts in proteins. The quality of the results depend…

Biomolecules · Quantitative Biology 2019-09-04 G. Franco , M. Cagiada , G. Bussi , G. Tiana

Proteins form a very important class of polymers. In spite of major advances in the understanding of polymer science, the protein problem has remained largely unsolved. Here, we show that a polymer chain viewed as a tube not only captures…

Biological Physics · Physics 2007-05-23 J. R. Banavar , A. Flammini , D. Marenduzzo , A. Maritan , A. Trovato

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

A small fraction of all protein structures characterized so far are entangled. The challenge of understanding the properties of these knotted proteins, and the why and the how of their natural folding process, has been taken up in the past…

Biomolecules · Quantitative Biology 2019-06-21 Ana Nunes , Patrícia FN Faísca

Simple two-state folding kinetics of many small single-domain proteins are characterized by chevron plots with linear folding and unfolding arms consistent with a two-state description of equilibrium thermodynamics. This phenomenon is…

Soft Condensed Matter · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan