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Related papers: Knots and Swelling in Protein Folding

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A number of recently discovered protein structures incorporate a rather unexpected structural feature: a knot in the polypeptide backbone. These knots are extremely rare, but their occurrence is likely connected to protein function in as…

Biological Physics · Physics 2007-05-23 Peter Virnau , Leonid A. Mirny , Mehran Kardar

Knotted proteins embed a physical (i.e., open) knot within their native structures. For decades, significant effort has been devoted to elucidating the functional role of knots in proteins, yet no consensus has been reached. Here, using…

Biomolecules · Quantitative Biology 2026-03-13 João NC Especial , Patrícia FN Faísca

Proteins are linear molecular chains that often fold to function. The topology of folding is widely believed to define its properties and function, and knot theory has been applied to study protein structure and its implications. More that…

Geometric Topology · Mathematics 2020-07-13 Colin Adams , Judah Devadoss , Mohamed Elhamdadi , Alireza Mashaghi

Long, flexible physical filaments are naturally tangled and knotted, from macroscopic string down to long-chain molecules. The existence of knotting in a filament naturally affects its configuration and properties, and may be very stable or…

Biomolecules · Quantitative Biology 2016-11-21 Keith Alexander , Alexander J Taylor , Mark R Dennis

Although rare, an increasing number of proteins have been observed to contain entanglements in their native structures. To gain more insight into the significance of protein knotting, researchers have been investigating protein knot…

Biomolecules · Quantitative Biology 2022-11-08 Isabel K. Darcy , Garrett Jones , Puttipong Pongtanapaisan

The ongoing effort to detect and characterize physical entanglement in biopolymers has so far established that knots are present in many globular proteins and also abound in viral DNA packaged inside bacteriophages. RNA molecules, on the…

Biomolecules · Quantitative Biology 2014-10-08 Cristian Micheletti , Marco Di Stefano , Henri Orland

We perform theoretical studies of stretching of 20 proteins with knots within a coarse grained model. The knot's ends are found to jump to well defined sequential locations that are associated with sharp turns whereas in homopolymers they…

Biomolecules · Quantitative Biology 2008-04-01 Joanna I. Sułkowska , Piotr Sułkowski , Piotr Szymczak , Marek Cieplak

Knots are abundant in globular homopolymers but rare in globular proteins. To shed new light on this long-standing conundrum, we study the influence of sequence on the formation of knots in proteins under native conditions within the…

Soft Condensed Matter · Physics 2015-03-17 Thomas Wüst , Daniel Reith , Peter Virnau

Molecular dynamics studies within a coarse-grained structure based model were used on two similar proteins belonging to the transcarbamylase family to probe the effects in the native structure of a knot. The first protein, N-acetylornithine…

Biomolecules · Quantitative Biology 2009-02-17 Joanna I. Sułkowska , Piotr Sułkowski , P. Szymczak , Marek Cieplak

Proteins must fold quickly to acquire their biologically functional three-dimensional native structures. Hence, these are mainly stabilized by local contacts, while intricate topologies such as knots are rare. Here, we reveal the existence…

Biomolecules · Quantitative Biology 2019-06-20 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

Proteins with nontrivial topology, containing knots and slipknots, have the ability to fold to their native states without any additional external forces invoked. A mechanism is suggested for folding of these proteins, such as YibK and…

Biomolecules · Quantitative Biology 2010-01-06 Joanna I. Sułkowska , Piotr Sułkowski , José N. Onuchic

Approximately 1% of the known protein structures display knotted configurations in their native fold but their function is not understood. It has been speculated that the entanglement may inhibit mechanical protein unfolding or transport,…

Biological Physics · Physics 2009-11-13 Joachim Dzubiella

Knotted proteins, when forced through the pores, can get stuck if the knots in their backbone tighten under force. Alternatively, the knot can slide off the chain, making translocation possible. We construct a simple energy landscape model…

Statistical Mechanics · Physics 2023-11-08 Karol Capała , Piotr Szymczak

Most amino acids are encoded by multiple synonymous codons. For an amino acid, some of its synonymous codons are used much more rarely than others. Analyses of positions of such rare codons in protein sequences revealed that rare codons can…

Molecular Networks · Quantitative Biology 2019-07-09 Khalique Newaz , Gabriel Wright , Jacob Piland , Jun Li , Patricia Clark , Scott Emrich , Tijana Milenkovic

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

Protein MJ0366 is a hypothetical protein from Methanocaldococcus jannaschii that has a rare and complex knot in its structure. The knot is a right-handed trefoil knot that involves about half of the protein's residues. In this article, we…

Biological Physics · Physics 2024-11-08 A. M. Begun , A. A. Korneev , A. V. Zorina

The computer artificial intelligence system AlphaFold has recently predicted previously unknown three-dimensional structures of thousands of proteins. Focusing on the subset with high-confidence scores, we algorithmically analyze these…

Biomolecules · Quantitative Biology 2022-07-18 Maarten A. Brems , Robert Runkel , Todd O. Yeates , Peter Virnau

Understanding the biological function of knots in proteins and their folding process is an open and challenging question in biology. Recent studies classify the topology and geometry of knotted proteins by analysing the distribution of a…

Many experiments have been done to determine the relative strength of different knots, and these show that the break in a knotted rope almost invariably occurs at a point just outside the `entrance' to the knot. The influence of knots on…

Materials Science · Physics 2009-10-31 A. Marco Saitta , Paul D. Soper , E. Wasserman , Michael L. Klein

An increasing number of proteins are being discovered with a remarkable and somewhat surprising feature, a knot in their native structures. How the polypeptide chain is able to knot itself during the folding process to form these highly…

Biomolecules · Quantitative Biology 2007-05-23 Stefan Wallin , Konstantin B Zeldovich , Eugene I Shakhnovich
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