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Structure fluctuations and conformational changes accompany all biological processes involving macromolecules. The paper presents a classification of protein residues based on the normalized equilibrium fluctuations of the residue centers…

Biological Physics · Physics 2015-05-30 Anatoly M. Ruvinsky , Tatsiana Kirys , Alexander V. Tuzikov , Ilya A. Vakser

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

Mapping between sequence and structure is currently an open problem in structural biology. Despite many experimental and computational efforts it is not clear yet how the structure is encoded in the sequence. Answering this question may…

Biomolecules · Quantitative Biology 2013-10-08 Iddo Friedberg

The coding space of protein sequences is shaped by evolutionary constraints set by requirements of function and stability. We show that the coding space of a given protein family--the total number of sequences in that family--can be…

Biomolecules · Quantitative Biology 2020-11-20 Jacopo Marchi , Ezequiel A. Galpern , Rocio Espada , Diego U. Ferreiro , Aleksandra M. Walczak , Thierry Mora

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

We investigate proteins within heterogeneous cell membranes where non-equilibrium phenomena arises from spatial variations in concentration and temperature. We develop simulation methods building on non-equilibrium statistical mechanics to…

Soft Condensed Matter · Physics 2025-08-28 D. Jasuja , P. J. Atzberger

Protein variability in single cells has been studied extensively in populations, but little is known about temporal protein fluctuations in a single cell over extended times. We present here traces of protein copy number measured in…

Biological Physics · Physics 2015-06-16 Naama Brenner , Erez Braun , Anna Yoney , Lee Susman , James Rotella , Hanna Salman

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

We study a large data set of protein structure ensembles of very diverse sizes determined by nuclear magnetic resonance. By examining the distance-dependent correlations in the displacement of residues pairs and conducting finite size…

Biological Physics · Physics 2017-03-01 Qian-Yuan Tang , Yang-Yang Zhang , Jun Wang , Wei Wang , Dante R. Chialvo

The idea that structural disorder might be a novel mechanism of protein interaction is widespread in the Literature, although the number of statistically significant structural studies supporting this is surprisingly low. At variance with…

Disordered Systems and Neural Networks · Physics 2021-03-01 Beatriz Seoane , Alessandra Carbone

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Atomic packing is an important metric for characterizing protein structures, as it significantly influences various features including the stability, the rate of evolution and the functional roles of proteins. Packing in protein structures…

Biomolecules · Quantitative Biology 2025-05-27 Sotirios Touliopoulos , Nicholas M. Glykos

We consider the dependence of the electron transfer in photosynthetic complexes on correlation properties of random fluctuations of the protein environment. The electron subsystem is modeled by a finite network of connected electron…

Biological Physics · Physics 2015-06-23 Alexander I. Nesterov , Gennady P. Berman

Natural protein sequences somehow encode the structural forms that these molecules adopt. Recent developments in structure-prediction are agnostic to the mechanisms by which proteins fold and represent them as static objects. However, the…

Biomolecules · Quantitative Biology 2025-05-26 Ezequiel A. Galpern , Federico Caamaño , Diego U. Ferreiro

Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of…

Molecular Networks · Quantitative Biology 2009-11-13 Erel Levine , Terence Hwa

We consider two types of fluctuations in the mass-action equilibrium in protein binding networks. The first type is driven by relatively slow changes in total concentrations (copy numbers) of interacting proteins. The second type, to which…

Molecular Networks · Quantitative Biology 2009-11-13 Koon-Kiu Yan , Dylan Walker , Sergei Maslov

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

Understanding the observed variability in the number of homologs of a gene is a very important, unsolved problem that has broad implications for research into co-evolution of structure and function, gene duplication, pseudogene formation…

Biomolecules · Quantitative Biology 2007-05-23 Boris Shakhnovich , Eric Deeds , Charles Delisi , Eugene Shakhnovich

We discuss a model of protein conformations where the conformations are combinations of short fragments from some small set. For these fragments we consider a distribution of frequencies of occurrence of pairs (sequence of amino acids,…

Biomolecules · Quantitative Biology 2016-07-05 S. V. Kozyrev

Interacting proteins coevolve at multiple but interconnected scales, from the residue-residue over the protein-protein up to the family-family level. The recent accumulation of enormous amounts of sequence data allows for the development of…

Biomolecules · Quantitative Biology 2019-06-25 Hendrik Szurmant , Martin Weigt
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