Polycatenanes, macrochains of topologically interlocked rings with unique physical
properties have recently gained considerable interest in supramolecular chemistry, biology …

" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …

The knot nomenclature in common use, summarized in Rolfsen's knot table [Rolfsen (1990)
Knots and Links, American Mathematical Society], was not originally designed to distinguish …

Abstract Periodic Boundary Conditions (PBC) are often used for the simulation of complex
physical systems. Using the Gauss linking number, we define the periodic linking number as …

We propose a method to estimate N e, the entanglement length, that incorporates both local
and global topological characteristics of chains in a melt under equilibrium conditions. This …

By means of coarse-grained molecular dynamics simulations, we explore chiral sensitivity of
confining spaces modelled as helical channels to chiral superstructures represented by …

We employ a primitive path (PP) algorithm and the Gauss linking integral to study the degree
of entanglement and knotting characteristics of linear polymer model chains in a melt under …

The novel coronavirus SARS-CoV-2 infects human cells using a mechanism that involves
binding and structural rearrangement of its Spike protein. Understanding protein …

Biopolymers, like chromatin, are often confined in small volumes. Confinement has a great
effect on polymer conformations, including polymer entanglement. Polymer chains and other …

In order to model entanglements of polymers in a confined region, we consider the linking
numbers and writhes of cycles in random linear embeddings of complete graphs in a cube …