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Residue-residue interactions that fold a protein into a unique three-dimensional structure and make it play a specific function impose structural and functional constraints on each residue site. Selective constraints on residue sites are…

Biomolecules · Quantitative Biology 2013-01-18 Sanzo Miyazawa

Evolutionary models measure the probability of amino acid substitutions occurring over different evolutionary distances. We examine various evolutionary models based on empirically derived amino acid substitution matrices. The models are…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Barbiellini , Alexandra Portnova , Anna Chetoukhina , Chia-Hsin Lu , Matteo Pellegrini

Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. We present a…

Populations and Evolution · Quantitative Biology 2020-09-22 Michael Golden , Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck , Jotun Hein

Proteins, essential to biological systems, perform functions intricately linked to their three-dimensional structures. Understanding the relationship between protein structures and their amino acid sequences remains a core challenge in…

Quantitative Methods · Quantitative Biology 2024-11-04 Liang He , Peiran Jin , Yaosen Min , Shufang Xie , Lijun Wu , Tao Qin , Xiaozhuan Liang , Kaiyuan Gao , Yuliang Jiang , Tie-Yan Liu

We review and further develop an analytical model that describes how thermodynamic constraints on the stability of the native state influence protein evolution in a site-specific manner. To this end, we represent both protein sequences and…

Biomolecules · Quantitative Biology 2007-05-23 Ugo Bastolla , Markus Porto , H. Eduardo Roman , Michele Vendruscolo

Motivation: Standard algorithms for pairwise protein sequence alignment make the simplifying assumption that amino acid substitutions at neighboring sites are uncorrelated. This assumption allows implementation of fast algorithms for…

Biomolecules · Quantitative Biology 2014-05-27 Gavin E. Crooks , Richard E. Green , Steven E. Brenner

Quantifying the effects of amino acid mutations in proteins presents a significant challenge due to the vast combinations of residue sites and amino acid types, making experimental approaches costly and time-consuming. The Potts model has…

Methodology · Statistics 2025-05-22 Bingying Dai , Yinan Lin , Kejue Jia , Zhao Ren , Wen Zhou

We propose a model that explains the hierarchical organization of proteins in fold families. The model, which is based on the evolutionary selection of proteins by their native state stability, reproduces patterns of amino acids conserved…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Eugene I. Shakhnovich

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

The sequence of a protein is not only constrained by its physical and biochemical properties under current selection, but also by features of its past evolutionary history. Understanding the extent and the form that these evolutionary…

Populations and Evolution · Quantitative Biology 2015-06-22 Mathieu Hemery , Olivier Rivoire

Spatially proximate amino acids in a protein tend to coevolve. A protein's three-dimensional (3D) structure hence leaves an echo of correlations in the evolutionary record. Reverse engineering 3D structures from such correlations is an open…

Quantitative Methods · Quantitative Biology 2013-01-15 Magnus Ekeberg , Cecilia Lövkvist , Yueheng Lan , Martin Weigt , Erik Aurell

We present a sequence-based probabilistic formalism that directly addresses co-operative effects in networks of interacting positions in proteins, providing significantly improved contact prediction, as well as accurate quantitative…

Quantitative Methods · Quantitative Biology 2012-07-12 Alan Lapedes , Bertrand Giraud , Christopher Jarzynski

Protein structures are much more conserved than sequences during evolution. Based on this observation, we investigate the consequences of structural conservation on protein evolution. We study seven of the most studied protein folds,…

Soft Condensed Matter · Physics 2007-05-23 Ugo Bastolla , Markus Porto , H. Eduardo Roman , Michele Vendruscolo

Prediction of ligand binding sites of proteins is a fundamental and important task for understanding the function of proteins and screening potential drugs. Most existing methods require experimentally determined protein holo-structures as…

Quantitative Methods · Quantitative Biology 2023-12-07 Shuo Zhang , Lei Xie

The local structure of a protein strongly impacts its function and interactions with other molecules. Therefore, a concise, informative representation of a local protein environment is essential for modeling and designing proteins and…

A central challenge in the study of protein evolution is the identification of historic amino acid sequence changes responsible for creating novel functions observed in present-day proteins. To address this problem, we developed a new…

Genomics · Quantitative Biology 2014-06-13 Victor Hanson-Smith , Christopher Baker , Alexander Johnson

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

Statistical models for families of evolutionary related proteins have recently gained interest: in particular pairwise Potts models, as those inferred by the Direct-Coupling Analysis, have been able to extract information about the…

Biomolecules · Quantitative Biology 2019-09-25 Kai Shimagaki , Martin Weigt

In the course of evolution, proteins show a remarkable conservation of their three-dimensional structure and their biological function, leading to strong evolutionary constraints on the sequence variability between homologous proteins. Our…

Quantitative Methods · Quantitative Biology 2014-04-07 Carlo Baldassi , Marco Zamparo , Christoph Feinauer , Andrea Procaccini , Riccardo Zecchina , Martin Weigt , Andrea Pagnani

Proteins have evolved through mutations, amino acid substitutions, since life appeared on Earth, some 109 years ago. The study of these phenomena has been of particular significance because of their impact on protein stability, function,…

Biomolecules · Quantitative Biology 2023-10-25 Jorge A. Vila
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