ArticleProceedings of the National Academy of Sciences of the United States of America2022
Topological gelation of reconnecting polymers.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed, 14 citations in OpenAlex.
- Self-assembly Monte Carlo reveals localized entanglement in giant polymer melts.Nature communications · 2026Article
- Actively Induced Supercoiling Can Slow Down Plasmid Solutions by Trapping the Threading Entanglements.ACS nano · 2026Article
- Assembling a True "Olympic Gel" From over 16 000 Combinatorial DNA Rings.Advanced materials (Deerfield Beach, Fla.) · 2026Article
- Effects of Knotting on the Collapse of Active Ring Polymers.Macromolecules · 2025Article
- Loops are geometric catalysts for DNA integration.Nucleic acids research · 2024Article
- Cluster Formation in Solutions of Polyelectrolyte Rings.ACS nano · 2023Article
- Worm blobs as entangled living polymers: from topological active matter to flexible soft robot collectives.Soft matter · 2023Review
- Topological Analysis and Recovery of Entanglements in Polymer Melts.Macromolecules · 2023Article
- Topological gelation of reconnecting polymers.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
DNA recombination is a ubiquitous process that ensures genetic diversity. Contrary to textbook pictures, DNA recombination, as well as generic DNA translocations, occurs in a confined and highly entangled environment. Inspired by this observation, here, we investigate a solution of semiflexible polymer rings undergoing generic cutting and reconnection operations under spherical confinement. Our setup may be realized using engineered DNA in the presence of recombinase proteins or by considering micelle-like components able to form living (or reversibly breakable) polymer rings. We find that in such systems, there is a topological gelation transition, which can be triggered by increasing either the stiffness or the concentration of the rings. Flexible or dilute polymers break into an ensemble of short, unlinked, and segregated rings, whereas sufficiently stiff or dense polymers self-assemble into a network of long, linked, and mixed loops, many of which are knotted. We predict that the two phases should behave qualitatively differently in elution experiments monitoring the escape dynamics from a permeabilized container. Besides shedding some light on the biophysics and topology of genomes undergoing DNA reconnection in vivo, our findings could be leveraged in vitro to design polymeric complex fluids-e.g., DNA-based complex fluids or living polymer networks-with desired topologies.
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