ArticleJournal of statistical physics2011
Scaling of Linking and Writhing Numbers for Spherically Confined and Topologically Equilibrated Flexible Polymers.
Article in Journal of statistical physics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Review
- Dynamics of chromosome organization in a minimal bacterial cell.Frontiers in cell and developmental biology · 2023Article
- Bacterial Nucleoid: Interplay of DNA Demixing and Supercoiling.Biophysical journal · 2020Article
- Physics and Biology (of Chromosomes).Journal of molecular biology · 2020Article
- Chromosome disentanglement driven via optimal compaction of loop-extruded brush structures.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- DNA-segment-capture model for loop extrusion by structural maintenance of chromosome (SMC) protein complexes.Nucleic acids research · 2019Article
- The Rabl configuration limits topological entanglement of chromosomes in budding yeast.Scientific reports · 2019Article
- Condensin controls mitotic chromosome stiffness and stability without forming a structurally contiguous scaffold.Chromosome research : an international journal on the molecular, supramolecular and evolutionary aspects of chromosome biology · 2018Article
- Article
- Article
- Variation of the folding and dynamics of the Escherichia coli chromosome with growth conditions.Molecular microbiology · 2012Article
- Self-organization of domain structures by DNA-loop-extruding enzymes.Nucleic acids research · 2012Article
- Membrane protein expression triggers chromosomal locus repositioning in bacteria.Proceedings of the National Academy of Sciences of the United States of America · 2012Article
- DNA Mechanics and Topology.Advances in experimental medicine and biologyReview
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Funding
Abstract
Scaling laws for Gauss linking number Ca and writhing number Wr for spherically confined flexible polymers with thermally fluctuating topology are analyzed. For ideal (phantom) polymers each of N segments of length unity confined to a spherical pore of radius R there are two scaling regimes: for sufficiently weak confinement (R ⪢ N(1/3)) each chain has |Wr| ≈ N(1/2), and each pair of chains has average |Ca| ≈ N/R(3/2); alternately for sufficiently tight confinement (N(1/3) ⪢ R), |Wr| ≈ |CA| ≈ N/R(3/2). Adding segment-segment avoidance modifies this result: for n chains with excluded volume interactions |Ca| ≈ (N/n)(1/2)f(ϕ) where f is a scaling function that depends approximately linearly on the segment concentration ϕ = nN/R(3). Scaling results for writhe are used to estimate the maximum writhe of a polymer; this is demonstrated to be realizable through a writhing instability that occurs for a polymer which is able to change knotting topology and which is subject to an applied torque. Finally, scaling results for linking are used to estimate bounds on the entanglement complexity of long chromosomal DNA molecules inside cells, and to show how "lengthwise" chromosome condensation can suppress DNA entanglement.
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