Statistical Properties of Lasso-Shape Polymers and Their Implications for Complex Lasso Proteins Function
1
Centre of New Technologies, University of Warsaw, 02-097 Warsaw, Poland
2
Faculty of Chemistry, University of Warsaw, 02-093 Warsaw, Poland
3
Faculty of Physics, University of Warsaw, 02-093 Warsaw, Poland
*
Author to whom correspondence should be addressed.
Polymers 2019, 11(4), 707; https://doi.org/10.3390/polym11040707
Received: 15 March 2019
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Revised: 11 April 2019
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Accepted: 12 April 2019
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Published: 17 April 2019
(This article belongs to the Special Issue Theory and Simulations of Entangled Polymers)
The shape and properties of closed loops depend on various topological factors. One of them is loop-threading, which is present in complex lasso proteins. In this work, we analyze the probability of loop-threading by the tail and its influence on the shape of the loop measured by the radius of gyration, distention, asphericity, and prolateness. In particular, we show that the probability of a trivial lasso for phantom polymer is non-zero even for an infinite structure, as well as that the threading flattens the loop by restricting its motion in one dimension. These results are further used to show that there are fewer non-trivial protein lassos than expected and select potentially functional complex lasso proteins.
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Keywords:
topology; lasso; proteins; threading; asphericity; prolateness
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MDPI and ACS Style
Dabrowski-Tumanski, P.; Gren, B.; Sulkowska, J.I. Statistical Properties of Lasso-Shape Polymers and Their Implications for Complex Lasso Proteins Function. Polymers 2019, 11, 707. https://doi.org/10.3390/polym11040707
AMA Style
Dabrowski-Tumanski P, Gren B, Sulkowska JI. Statistical Properties of Lasso-Shape Polymers and Their Implications for Complex Lasso Proteins Function. Polymers. 2019; 11(4):707. https://doi.org/10.3390/polym11040707
Chicago/Turabian StyleDabrowski-Tumanski, Pawel, Bartosz Gren, and Joanna I. Sulkowska. 2019. "Statistical Properties of Lasso-Shape Polymers and Their Implications for Complex Lasso Proteins Function" Polymers 11, no. 4: 707. https://doi.org/10.3390/polym11040707
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