Topological entanglements severely interfere with important biological processes. For this
reason, genomes must be kept unknotted and unlinked during most of a cell cycle. Type II …

In Escherichia coli DNA replication yields interlinked chromosomes. Controlling topological
changes associated with replication and returning the newly replicated chromosomes to an …

Knots are found in DNA as well as in proteins, and they have been shown to be good tools
for structural analysis of these molecules. An important parameter to consider in the artificial …

Topoisomerases may unknot by recognizing specific DNA juxtapositions. The physical basis
of this hypothesis is investigated by considering single-loop conformations in a coarse …

A brief review is given of the main concepts, ideas, and results in the fields of DNA topology,
elasticity, mechanics and statistical mechanics. Discussion in-cludes the notions of the …

The study of knots and links from a probabilistic viewpoint provides insight into the behavior
of “typical” knots, and opens avenues for new constructions of knots and other topological …

We performed numerical simulations of DNA chains to understand how local geometry of
juxtaposed segments in knotted DNA molecules can guide type II DNA topoisomerases to …

We develop two classes of Monte Carlo moves for efficient sampling of wormlike DNA
chains that can have significant degrees of supercoiling, a conformational feature that is key …

We here address two problems concerning the writhe of random polygons. First, we study
the behavior of the mean writhe as a function length. Second, we study the variance of the …

The mathematical basis of the hypothesis that type-2 topoisomerases recognize and act at
specific DNA juxtapositions has been investigated by coarse-grained lattice polymer …