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Related papers: Intricate Knots in Proteins: Function and Evolutio…

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Introduction: While the origin and evolution of proteins remain mysterious, advances in evolutionary genomics and systems biology are facilitating the historical exploration of the structure, function and organization of proteins and…

Quantitative Methods · Quantitative Biology 2026-02-20 Gustavo Caetano-Anollés , M. Fayez Aziz , Fizza Mughal , Derek Caetano-Anollés

The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent studies have…

Statistical Mechanics · Physics 2007-05-23 Ricard V. Sole , Romualdo Pastor-Satorras , Eric Smith , Thomas B. Kepler

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 transport of DNA polymers through nanoscale pores is central to many biological processes, from bacterial gene exchange to viral infection. In single-molecule nanopore sensing, the detection of nucleic acid and protein analytes relies…

The first and last named authors have demonstrated the existence of knots for which every integral slope is non-characterizing. In this short note, we extend this result in two ways. There exists a knot that shares for every integer n the…

Geometric Topology · Mathematics 2025-12-16 Kenneth L. Baker , Marc Kegel , Kimihiko Motegi

Knots and links are fascinating and intricate topological objects. Their influence spans from DNA and molecular chemistry to vortices in superfluid helium, defects in liquid crystals and cosmic strings in the early universe. Here, we find…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Dong-Ling Deng , Sheng-Tao Wang , Kai Sun , L. -M. Duan

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

Knots are entangled structures that cannot be untangled without a cut. Topological stability of knots is one of the many examples of their important properties that can be used in information storage and transfer. Knot dynamics is important…

Soft Condensed Matter · Physics 2022-11-04 Hyo Jung Park , Anna Lappala

Protein structures can be studied as complex networks of interacting amino acids. We study proteins of different structural classes from the network perspective. Our results indicate that proteins, regardless of their structural class, show…

Molecular Networks · Quantitative Biology 2007-11-19 Ganesh Bagler , Somdatta Sinha

Protein-protein interactions (protein functionalities) are mediated by water, which compacts individual proteins and promotes close and temporarily stable large-area protein-protein interfaces. Proteins are peptide chains decorated by amino…

Soft Condensed Matter · Physics 2008-02-26 J. C. Phillips

Proteases regulate various aspects of the life cycle in all organisms by cleaving specific peptide bonds. Their action is so central for biochemical processes that at least 2% of any known genome encodes for proteolytic enzymes. Here we…

Biomolecules · Quantitative Biology 2013-06-07 Vincenzo Carnevale , Simone Raugei , Cristian Micheletti , Paolo Carloni

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

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

A new theoretical survey of proteins' resistance to constant speed stretching is performed for a set of 17 134 proteins as described by a structure-based model. The proteins selected have no gaps in their structure determination and consist…

Biomolecules · Quantitative Biology 2009-11-04 Mateusz Sikora , Joanna I. Sułkowska , Marek Cieplak

Using a structure-based coarse-grained model of proteins, we study the mechanism of unfolding of knotted proteins through heating. We find that the dominant mechanisms of unfolding depend on the temperature applied and are generally…

Biomolecules · Quantitative Biology 2017-01-23 Yani Zhao , Mateusz Chwastyk , Marek Cieplak

Recent experiments demonstrated that knots in single DNA strands can be formed by hydrodynamic compression in a nanochannel. In this letter, we further elucidate the underlying molecular mechanisms by carrying out a compression experiment…

Soft Condensed Matter · Physics 2021-11-23 Jan Rothörl , Sarah Wettermann , Peter Virnau , Aniket Bhattacharya

The formation of DNA loops by proteins and protein complexes is ubiquitous to many fundamental cellular processes, including transcription, recombination, and replication. Here we review recent advances in understanding the properties of…

Biomolecules · Quantitative Biology 2007-05-23 Leonor Saiz , Jose M. G. Vilar

It is shown that a small subset of modes which are likely to be involved in protein functional motions of large amplitude can be determined by retaining the most robust normal modes obtained using different protein models. This result…

Biomolecules · Quantitative Biology 2007-05-23 Samuel Nicolay , Yves-Henri Sanejouand

The study of knots and links from a probabilistic viewpoint provides insight into the behavior of "typical" knots, and opens avenues for new constructions of knots and other topological objects with interesting properties. The knotting of…

Geometric Topology · Mathematics 2018-04-27 Chaim Even-Zohar

Numerous cellular functions rely on protein$\unicode{x2013}$protein interactions. Efforts to comprehensively characterize them remain challenged however by the diversity of molecular recognition mechanisms employed within the proteome. Deep…

Biomolecules · Quantitative Biology 2023-12-08 Julia R. Rogers , Gergő Nikolényi , Mohammed AlQuraishi