ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2010
Tightness of knots in a polymer chain.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
4 citing papers in PubMed.
- Article
- Effects of knot tightness at the molecular level.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- A nanofluidic knot factory based on compression of single DNA in nanochannels.Nature communications · 2018Article
- Effect of Bending Rigidity on the Knotting of a Polymer under Tension.ACS macro letters · 2012Article
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Authors and funding
2 authors.
Funding
Abstract
It was predicted recently that sufficiently complex knots on a linear wormlike chain can have a metastable size, preventing their spontaneous expansion. We tested this prediction via computer simulations for 7(1) and 10(151) knots. We calculated the equilibrium distributions of knot size S for both knots. By using the umbrella sampling, we were able to obtain the distributions over a wide range of S values. The distributions were converted into the dependencies of the free energy on the knot size. The obtained free energy profiles have no pronounced local minima, so there are no metastable knot sizes for these knots. We also performed Brownian dynamics simulation of 7(1) knot relaxation that started from a very tight knot conformation. The simulation showed that knot expansion is a fast process compared to knot displacement along the chain contour by diffusion.
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