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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

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

Proteins are essential for life, and their structure determines their function. The protein secondary structure is formed by the folding of the protein primary structure, and the protein tertiary structure is formed by the bending and…

Biomolecules · Quantitative Biology 2024-03-11 Yanlin Zhou , Kai Tan , Xinyu Shen , Zheng He , Haotian Zheng

Inherent structure theory is used to discover strong connections between simple characteristics of protein structure and the energy landscape of a Go model. The potential energies and vibrational free energies of inherent structures are…

Biomolecules · Quantitative Biology 2009-11-13 Dengming Ming , Marian Anghel , Michael E. Wall

This paper presents a method of reconstruction a primary structure of a protein that folds into a given geometrical shape. This method predicts the primary structure of a protein and restores its linear sequence of amino acids in the…

Quantitative Methods · Quantitative Biology 2017-01-04 Andrii Riazanov , Mikhail Karasikov , Sergei Grudinin

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

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Molecular Networks · Quantitative Biology 2008-09-23 Canan Atilgan , Ibrahim Inanc , Ali Rana Atilgan

Residue-wise contact order (RWCO) is a new kind of one-dimensional protein structures which represents the extent of long-range contacts. We have recently shown that a set of three types of one-dimensional structures (secondary structure,…

Biomolecules · Quantitative Biology 2007-05-23 Akira R. Kinjo , Ken Nishikawa

We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

A generalized computational method for folding proteins with a fully transferable potential and geometrically realistic all-atom model is presented and tested on seven different helix bundle proteins. The protocol, which includes…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eric J. Deeds , Eugene I. Shakhnovich

We present the development of the idea to use dynamics in the space of contact maps as a computational approach to the protein folding problem. We first introduce two important technical ingredients, the reconstruction of a three…

Soft Condensed Matter · Physics 2009-10-31 Michele Vendruscolo , Eytan Domany

Much scientific enquiry across disciplines is founded upon a mechanistic treatment of dynamic systems that ties form to function. A highly visible instance of this is in molecular biology, where an important goal is to determine…

Biomolecules · Quantitative Biology 2021-06-17 Xiaojie Guo , Yuanqi Du , Sivani Tadepalli , Liang Zhao , Amarda Shehu

We analytically derive the lower bound of the total conformational energy of a protein structure by assuming that the total conformational energy is well approximated by the sum of sequence-dependent pairwise contact energies. The condition…

Biomolecules · Quantitative Biology 2008-01-03 Akira R. Kinjo , Sanzo Miyazawa

Protein contacts provide key information for the understanding of protein structure and function, and therefore contact prediction from sequences is an important problem. Recent research shows that some correctly predicted long-range…

Quantitative Methods · Quantitative Biology 2020-09-02 Siqi Sun

This work reports a new methodology aimed at describing characteristics of protein structural shapes, and suggests a framework in which to resolve or classify automatically such structures into known families. This new approach to protein…

Quantitative Methods · Quantitative Biology 2007-05-23 Marconi Soares Barbosa , Rinaldo Wander Montalvao , Tom Blundell , Luciano da Fontoura Costa

RNA, whose functionality is largely determined by its structure, plays an important role in many biological activities. The prediction of pairwise structural proximity between each nucleotide of an RNA sequence can characterize the…

Quantitative Methods · Quantitative Biology 2024-01-22 Yiren Jian , Chongyang Gao , Chen Zeng , Yunjie Zhao , Soroush Vosoughi

Protein sequences are believed to have been selected to provide the stability of, and reliable renaturation to, an encoded unique spatial fold. In recently proposed theoretical schemes, this selection is modeled as ``minimal frustration,''…

Condensed Matter · Physics 2009-10-28 Vijay S. Pande , Alexander Yu. Grosberg , Toyoichi Tanaka

In this perspective article, we present a multidisciplinary approach for characterizing protein structure networks. We first place our approach in its historical context and describe the manner in which it synthesizes concepts from quantum…

Molecular Networks · Quantitative Biology 2019-12-30 Vasundhara Gadiyaram , Smitha Vishveshwara , Saraswathi Vishveshwara

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Biomolecules · Quantitative Biology 2010-02-04 Canan Atilgan , Osman Burak Okan , Ali Rana Atilgan