We review pro and contra of the hypothesis that generic polymer properties of topological
constraints are behind many aspects of chromatin folding in eukaryotic cells. For that …

Considering topology among all polymer architectures polymer rings are unique, as they are
the simplest closed structures without ends. In this review we present recent experimental …

A scaling model of self-similar conformations and dynamics of nonconcatenated entangled
ring polymers is developed. Topological constraints force these ring polymers into compact …

The study of the conformation properties of macromolecules is at the heart of polymer
science. Essentially all physical properties of polymers are manifestations of the underlying …

The conformational statistics of ring polymers in melts or dense solutions is strongly affected
by their quenched microscopic topological state. The effect is particularly strong for …

Ring polymers have fascinated theorists, simulators, and experimentalists as they are the
simplest polymer without ends, giving rise to important topology related properties. We …

Current theories on the conformation and dynamics of unknotted and non-concatenated ring
polymers in melt conditions describe each ring as a tree-like double-folded object. While …

A Flory theory is constructed for a long polymer ring in a melt of unknotted and non-
concatenated rings. The theory assumes that the ring forms an effective annealed branched …

Unconcatenated ring polymers in concentrated solutions and melt are remarkably well
described as double-folded conformations on randomly branched primitive trees. This …

The fractal globule state is a popular model for describing chromatin packing in eukaryotic
nuclei. Here we provide a scaling theory and dissipative particle dynamics computer …