Literature DB >> 1196369

Statistical mechanics and topology of polymer chains.

M D Frank-Kamenetskii, A V Lukashin, A V Vologodskii.   

Abstract

The statistical-mechanical treatment of closed polymer chains based on algebraic topology is proposed. Using the Monte-Carlo method numerical results were obtained for the probability to knot formation during random closing of polymer chains of different length. For very rigid chains such as DNA double helix the probability of knot formation is rather great. Topological restrictions in a system of two polymer chains are shown to lead to a specific topological interaction between them.

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Year:  1975        PMID: 1196369     DOI: 10.1038/258398a0

Source DB:  PubMed          Journal:  Nature        ISSN: 0028-0836            Impact factor:   49.962


  26 in total

1.  Knotting probability of DNA molecules confined in restricted volumes: DNA knotting in phage capsids.

Authors:  Javier Arsuaga; Mariel Vázquez; Sonia Trigueros; De Witt Sumners; Joaquim Roca
Journal:  Proc Natl Acad Sci U S A       Date:  2002-04-16       Impact factor: 11.205

2.  Equilibrium distributions of topological states in circular DNA: interplay of supercoiling and knotting.

Authors:  A A Podtelezhnikov; N R Cozzarelli; A V Vologodskii
Journal:  Proc Natl Acad Sci U S A       Date:  1999-11-09       Impact factor: 11.205

3.  Brownian dynamics simulation of knot diffusion along a stretched DNA molecule.

Authors:  Alexander Vologodskii
Journal:  Biophys J       Date:  2005-12-16       Impact factor: 4.033

4.  Decomposition of the linking number of a closed ribbon: A problem from molecular biology.

Authors:  F B Fuller
Journal:  Proc Natl Acad Sci U S A       Date:  1978-08       Impact factor: 11.205

5.  Spontaneous knotting of an agitated string.

Authors:  Dorian M Raymer; Douglas E Smith
Journal:  Proc Natl Acad Sci U S A       Date:  2007-10-02       Impact factor: 11.205

6.  Random state transitions of knots: a first step towards modeling unknotting by type II topoisomerases.

Authors:  Xia Hua; Diana Nguyen; Barath Raghavan; Javier Arsuaga; Mariel Vazquez
Journal:  Topol Appl       Date:  2007-04-01       Impact factor: 0.617

7.  Extension of torsionally stressed DNA by external force.

Authors:  A V Vologodskii; J F Marko
Journal:  Biophys J       Date:  1997-07       Impact factor: 4.033

8.  Topological considerations in the theory of replication of DNA.

Authors:  W F Pohl; G W Roberts
Journal:  J Math Biol       Date:  1978-10-25       Impact factor: 2.259

9.  Knotted DNA from bacteriophage capsids.

Authors:  L F Liu; L Perkocha; R Calendar; J C Wang
Journal:  Proc Natl Acad Sci U S A       Date:  1981-09       Impact factor: 11.205

10.  Knotting a molecular strand can invert macroscopic effects of chirality.

Authors:  Nathalie Katsonis; Federico Lancia; David A Leigh; Lucian Pirvu; Alexander Ryabchun; Fredrik Schaufelberger
Journal:  Nat Chem       Date:  2020-08-03       Impact factor: 24.427

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