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10.1038/srep42300 http://scihub22266oqcxt.onion/10.1038/srep42300 C5304221!5304221!28205562     free     free     free       Sci+Rep 2017 ; 7 (ä): ä Nephropedia Template TP {{tp|p=28205562|t=2017. Proteins analysed as virtual knots |pdf=|usr=}}{{28205562}} gab.com Text Proteins analysed as virtual knots JO: Sci Rep http://www.kidney.de/pget.php?&tw=1&pmid=28205562 #FOAvip 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 disappear rapidly under manipulation and interaction. Knotting has been previously identified in protein backbone chains, for which these mechanical constraints are of fundamental importance to their molecular functionality, despite their being open curves in which the knots are not mathematically well defined; knotting can only be identified by closing the termini of the chain somehow. We introduce a new method for resolving knotting in open curves using virtual knots, which are a wider class of topological objects that do not require a classical closure and so naturally capture the topological ambiguity inherent in open curves. We describe the results of analysing proteins in the Protein Data Bank by this new scheme, recovering and extending previous knotting results, and identifying topological interest in some new cases. The statistics of virtual knots in protein chains are compared with those of open random walks and Hamiltonian subchains on cubic lattices, identifying a regime of open curves in which the virtual knotting description is likely to be important. Twit Text FOAVip Proteins analysed as virtual knots ????Sci Rep http://www.kidney.de/pget.php?&tw=1&pmid=28205562 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=28205562 #FOAvip English Wikipedia <ref>{{Cite pmid|28205562}}</ref> Proteins analysed as virtual knots #MMPMID28205562 Alexander K; Taylor AJ; Dennis MR Sci Rep 2017[]; 7 (ä): ä PMID28205562show ga 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 disappear rapidly under manipulation and interaction. Knotting has been previously identified in protein backbone chains, for which these mechanical constraints are of fundamental importance to their molecular functionality, despite their being open curves in which the knots are not mathematically well defined; knotting can only be identified by closing the termini of the chain somehow. We introduce a new method for resolving knotting in open curves using virtual knots, which are a wider class of topological objects that do not require a classical closure and so naturally capture the topological ambiguity inherent in open curves. We describe the results of analysing proteins in the Protein Data Bank by this new scheme, recovering and extending previous knotting results, and identifying topological interest in some new cases. The statistics of virtual knots in protein chains are compared with those of open random walks and Hamiltonian subchains on cubic lattices, identifying a regime of open curves in which the virtual knotting description is likely to be important. äProteins analysed as virtual knots (epmc).pdf DeepDyve Pubget Overpricing