From a melt of rings to chromosome territories: the role of topological constraints in genome folding

JD Halverson, J Smrek, K Kremer… - Reports on Progress in …, 2014 - iopscience.iop.org
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 …

Single-polymer dynamics under constraints: scaling theory and computer experiment

A Milchev - Journal of Physics: Condensed Matter, 2011 - iopscience.iop.org
The relaxation, diffusion and translocation dynamics of single linear polymer chains in
confinement is briefly reviewed with emphasis on the comparison between theoretical …

Tube theory of entangled polymer dynamics

TCB McLeish - Advances in physics, 2002 - Taylor & Francis
The dynamics of entangled flexible polymers is dominated by physics general to many
chemical systems. It is an appealing interdisciplinary field where experimental and …

Unexpected power-law stress relaxation of entangled ring polymers

M Kapnistos, M Lang, D Vlassopoulos… - Nature materials, 2008 - nature.com
After many years of intense research, most aspects of the motion of entangled polymers
have been understood. Long linear and branched polymers have a characteristic …

Molecular dynamics simulation study of nonconcatenated ring polymers in a melt. I. Statics

JD Halverson, WB Lee, GS Grest… - The Journal of …, 2011 - pubs.aip.org
Molecular dynamics simulations were conducted to investigate the structural properties of
melts of nonconcatenated ring polymers and compared to melts of linear polymers. The …

The role of topological constraints in the kinetics of collapse of macromolecules

AY Grosberg, SK Nechaev… - Journal de …, 1988 - jphys.journaldephysique.org
It is shown that the kinetics of collapse of a polymer coil consisting of N segments after an
abrupt decrease of temperature is a two-stage process if N>> Ne. The first stage takes a time …

Self-similar conformations and dynamics in entangled melts and solutions of nonconcatenated ring polymers

T Ge, S Panyukov, M Rubinstein - Macromolecules, 2016 - ACS Publications
A scaling model of self-similar conformations and dynamics of nonconcatenated entangled
ring polymers is developed. Topological constraints force these ring polymers into compact …

Network modulus and superelasticity

SP Obukhov, M Rubinstein, RH Colby - Macromolecules, 1994 - ACS Publications
We discuss the elastic modulus G and swelling/deswelling behavior of networks as a
function of their concentration< t> and their preparation state. Simple scaling ideas …

Dynamics of a ring polymer in a gel

SP Obukhov, M Rubinstein, T Duke - Physical review letters, 1994 - APS
We present a simple scaling theory of the dynamics of a ring polymer in a gel. In the
absence of excluded volume interactions, we predict that the translational diffusion …

Annealed lattice animal model and Flory theory for the melt of non-concatenated rings: towards the physics of crumpling

AY Grosberg - Soft Matter, 2014 - pubs.rsc.org
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 …