Knotted folds induced by homochiral all-parallel (or all-antiparallel) double-helices

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ID: 326364
2026
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Abstract
Abstract Many biomolecules and their synthetic counterparts preferentially assemble into double-helices with a preferred handedness and parallelism, such as all-antiparallel, right-handed double-helical polymorphs of DNA and RNA favoured under ambient conditions by Watson-Crick duplexing. We analyse knots formed by double-helices which are exclusively all-parallel (or exclusively all-antiparallel) and all right-handed (or all left-handed) . Most simpler knot enantiomers are unrealisable. Among the nearly 500 distinct knot enantiomers with up to 10 crossings, fewer than 10% can be formed by such double-helices. Simplest designs for the folding of admissible knot enantiomers via duplexing of complementary base pairs in single-stranded RNA (or DNA) are enumerated for those knots.
Reference Key
openalex_W7204170926 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Stephen T. Hyde, Myfanwy E. Evans, N Taylor, Callum A R Metzke
Journal PNAS nexus
Year 2026
DOI
10.1093/pnasnexus/pgag278
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