Molecular nanotopology—a term we coined recently—is a rapidly developing field of
research that is emerging out of the confluence of chemical topology with the mechanical …

In this review, we provide an organized summary of the theoretical and computational
results that are available for polymers subject to spatial or topological constraints. Because …

Equilibrium knots are common in biological polymers—their prevalence, size distribution,
structure, and dynamics have been extensively studied, with implications to fundamental …

De novo protein design methods can create proteins with folds not yet seen in nature. These
methods largely focus on optimizing the compatibility between the designed sequence and …

The fact that proteins can have their chain formed in a knot is known for almost 30 years.
However, as they are not common, only a fraction of such proteins is available in the Protein …

The protein topology database KnotProt, http://knotprot. cent. uw. edu. pl/, collects
information about protein structures with open polypeptide chains forming knots or slipknots …

The last decade has shown that there are an increasing numbers of known proteins that
contain linear open knots or slipknots in their native folded structure. In general, knots in …

The simultaneous synthesis of a molecular nine-crossing composite knot that contains three
trefoil tangles of the same handedness and a 9 7 3 link (a type of cyclic [3] catenane …

Knots and entanglements are ubiquitous. Beyond their aesthetic appeal, these fascinating
topological entities can be either useful or cumbersome. In recent decades, the importance …

Exploring the landscape of large scale conformational changes such as protein folding at
atomistic detail poses a considerable computational challenge. Coarse-grained …