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Simplifying Topological Entanglements by Entropic Competition of Slip-Links
Soft Condensed Matter · Submitted 30 Oct 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing.
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Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. | background 1.00 | 0.04 | 0.02 | asserted 0.95 |
| s1 | Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. | contribution 0.97 | 0.88 | 0.05 | hedged possibility 0.76 |
| s2 | We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. | result 1.00 | 0.96 | 0.84 | asserted 1.00 |
| s3 | We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials. | result 0.45 | 0.86 | 0.15 | asserted 0.99 |
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Original abstract
Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials.
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While our set up is inspired to the existing framework of entropic competition [ref] , here we consider SLs as real components of the system, modelling the presence of (diffusing) SMC proteins or cyclodextrins.
Entropic competition between knots and slip-links · Introduction · 0.94
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