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Effect of Bending Rigidity on the Knotting of a Polymer under Tension.


ABSTRACT: A coarse-grained computational model is used to investigate how the bending rigidity of a polymer under tension affects the formation of a trefoil knot. Thermodynamic integration techniques are applied to demonstrate that the free-energy cost of forming a knot has a minimum at nonzero bending rigidity. The position of the minimum exhibits a power-law dependence on the applied tension. For knotted polymers with nonuniform bending rigidity, the knots preferentially localize in the region with a bending rigidity that minimizes the free energy.

SUBMITTER: Matthews R 

PROVIDER: S-EPMC3560425 | biostudies-other | 2012 Nov

REPOSITORIES: biostudies-other

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