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We revisit the problem of protein structure determination from geometrical restraints from NMR, using convex optimization. It is well-known that the NP-hard distance geometry problem of determining atomic positions from pairwise distance…

Computational Engineering, Finance, and Science · Computer Science 2017-02-28 Yuehaw Khoo , Amit Singer , David Cowburn

Transformation of protein 3D structures from their all-atom representation (AAR) to the double-centroid reduced representation (DCRR) is a prerequisite to the implementation of both the tetrahedral three-dimensional search motif (3D SM)…

Biomolecules · Quantitative Biology 2015-12-02 Vicente M. Reyes

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

This paper deals with the relations among structural, topological, and chemical properties of the E.Coli proteome from the vantage point of the solubility/aggregation propensity of proteins. Each E.Coli protein is initially represented…

Data Analysis, Statistics and Probability · Physics 2015-11-17 Lorenzo Livi , Alessandro Giuliani , Alireza Sadeghian

Despite the significant increase in computational power, molecular modeling of protein structure using classical all-atom approaches remains inefficient, at least for most of the protein targets in the focus of biomedical research. Perhaps…

Biomolecules · Quantitative Biology 2016-11-01 Sebastian Kmiecik , Andrzej Kolinski

Proteins are large and complex molecular machines. In order to perform their function, most of them need energy, e.g. either in the form of a photon, like in the case of the visual pigment rhodopsin, or through the breaking of a chemical…

Biomolecules · Quantitative Biology 2009-11-13 Francesco Piazza , Yves-Henri Sanejouand

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Proteins can exhibit dynamic structural flexibility as they carry out their functions, especially in binding regions that interact with other molecules. For the key SARS-CoV-2 spike protein that facilitates COVID-19 infection, studies have…

Applications · Statistics 2022-02-08 Samuel W. K. Wong

In this paper we propose a straightforward operational definition of variants of disordered proteins, taking the human proteome as a case study. The focus is on a distinction between mostly unstructured proteins and proteins which contain…

Biomolecules · Quantitative Biology 2016-11-21 Antonio Deiana , Andrea Giansanti

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 introduce a method to bring nearly atomistic resolution to coarse-grained models, and we apply the method to proteins. Using a small number of coarse-grained sites (about one per eight atoms) but assigning an independent…

Statistical Mechanics · Physics 2014-10-01 Thomas K. Haxton

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

Protein design using structure prediction models such as AlphaFold2 has shown remarkable success, but existing approaches like relaxed sequence optimization (RSO) rely on single-path gradient descent and ignore sequence-space constraints,…

Machine Learning · Computer Science 2025-10-29 Joohwan Ko , Aristofanis Rontogiannis , Yih-En Andrew Ban , Axel Elaldi , Nicholas Franklin

Using a coarse-grained model, self-organized assembly of proteins (e.g. CorA and its inner segment iCorA) is studied by examining quantities such as contact profile, radius of gyration, and structure factor as a function of protein…

Soss proved that it is NP-hard to find the maximum 2D span of a fixed-angle polygonal chain: the largest distance achievable between the endpoints in a planar embedding. These fixed-angle chains can serve as models of protein backbones. The…

Computational Geometry · Computer Science 2010-06-03 Nadia Benbernou , Joseph O'Rourke

Protein folding, which dictates the protein structure from its amino acid sequence, is half a century old problem of biology. The function of the protein correlates with its structure, emphasizing the need of understanding protein folding…

Quantum Physics · Physics 2025-01-03 Jaya Vasavi P , Soham Bopardikar , Avinash D , Ashwini K , Kalyan Dasgupta , Sanjib Senapati

The nucleotide sequence representation of DNA can be inadequate for resolving protein-DNA binding sites and regulatory substrates, such as those involved in gene expression and horizontal gene transfer. Considering that sequence-like…

Genomics · Quantitative Biology 2020-07-30 Jan Zrimec

Protein Structure Prediction (PSP) is an unsolved problem in the field of computational biology. The problem of protein structure prediction is about predicting the native conformation of a protein, while its sequence of amino acids is…

Biomolecules · Quantitative Biology 2022-06-06 Hossein Parineh , Nasser Mozayani

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

Recent studies classify the topology of proteins by analysing the distribution of their projections using knotoids. The approximation of this distribution depends on the number of projection directions that are sampled. Here we investigate…

Geometric Topology · Mathematics 2021-02-19 Agnese Barbensi , Dimos Goundaroulis
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