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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

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

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

Proteins can sometimes be knotted, and for many reasons the study of knotted proteins is rapidly becoming very important. For example, it has been proposed that a knot increases the stability of a protein. Knots may also alter enzymatic…

Soft Condensed Matter · Physics 2009-07-02 Martin Lundgren , Antti J. Niemi

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

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

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

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…

The art of tying knots is exploited in nature and occurs in multiple applications ranging from being an essential part of scouting programs to engineering molecular knots. Biomolecular knots, such as knotted proteins, bear various cellular…

Biological Physics · Physics 2021-06-09 Anatoly Golovnev , Alireza Mashaghi

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

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

A growing number of proteins have been shown to adopt knotted folds. Yet the biological roles and biophysical properties of these knots remain poorly understood. We have used protein engineering and atomic force microscopy to explore…

Biological Physics · Physics 2009-11-13 T. Bornschloegl , D. M. Anstrom , E. Mey , J. Dzubiella , M. Rief , K. T. Forest

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

Many native structures of proteins accomodate complex topological motifs such as knots, lassos, and other geometrical entanglements. How proteins can fold quickly even in the presence of such topological obstacles is a debated question in…

Soft Condensed Matter · Physics 2020-10-07 Federico Norbiato , Flavio Seno , Antonio Trovato , Marco Baiesi

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

We consider multi-chain protein native structures and propose a criterion that determines whether two chains in the system are entangled or not. The criterion is based on the behavior observed by pulling at both temini of each chain…

Biomolecules · Quantitative Biology 2017-07-19 Yani Zhao , Mateusz Chwastyk , Marek Cieplak

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

The principles underlying protein folding remains one of Nature's puzzles with important practical consequences for Life. An approach that has gathered momentum since the late 1990's, looks at protein hetero-polymers and their folding…

Computational Engineering, Finance, and Science · Computer Science 2011-10-05 Susan Khor

For several decades, experimental and computational studies have been used to investigate the potential functional role of knots in protein structures. A property that has attracted considerable attention is thermal stability, i.e., the…

Biomolecules · Quantitative Biology 2026-03-13 João N. C. Especial , Beatriz P. Teixeira , Ana Nunes , Miguel Machuqueiro , Patrícia F. N. Faísca

Site-specific recombination on supercoiled circular DNA molecules can yield a variety of knots and catenanes. Twist knots are some of the most common conformations of these products and they can act as substrates for further rounds of…

Quantitative Methods · Quantitative Biology 2011-06-23 Karin Valencia , Dorothy Buck
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