Capturing knots in polymers
نویسندگان
چکیده
منابع مشابه
Knots in charged polymers.
The interplay of topological constraints and Coulomb interactions in static and dynamic properties of charged polymers is investigated by numerical simulations and scaling arguments. In the absence of screening, the long-range interaction localizes irreducible topological constraints into tight molecular knots, while composite constraints are factored and separated. Even when the forces are scr...
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``Three Points are taken at random on an infinite Plane. Find the chance of their being the vertices of an obtuse-angled Triangle.'' This is the text of Lewis Carroll’s Pillow Problem #58, from 1884. This and similar problems (e.g., ``what's the probability that a random quadrilateral is convex?'') sparked intense debate in the 19th century as mathematics was just starting to get to grips with ...
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Circular DNA in viruses and bacteria is often knotted. While mathematically problematic, the determination of the knot size is crucial for the study of the physical and biological behaviour of long macromolecules. Here, we review work on the size distribution of these knots under equilibrium conditions. We discuss knot localization in good and poor solvents, or in polymers that are adsorbed on ...
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We perform single-molecule DNA experiments to investigate the relaxation dynamics of knotted polymers and examine the steady-state behavior of knotted polymers in elongational fields. The occurrence of a knot reduces the relaxation time of a molecule and leads to a shift in the molecule's coil-stretch transition to larger strain rates. We measure chain extension and extension fluctuations as a ...
متن کاملKnots as a Topological Order Parameter for Semiflexible Polymers.
Using a combination of the multicanonical Monte Carlo algorithm and the replica-exchange method, we investigate the influence of bending stiffness on the conformational phases of a bead-stick homopolymer model and present the pseudophase diagram for the complete range of semiflexible polymers, from flexible to stiff. Although it is a simple model, we observe a rich variety of conformational pha...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2005
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.2130690