Knotted proteins are proteins whose backbones entangle themselves in a knot. One can imagine pulling a protein chain from both termini, as though pulling a string from both ends. When a knotted protein is “pulled” from both termini, it does not get disentangled. Knotted proteins are very rare, making up only about one percent of the proteins in the Protein Data Bank, and their folding mechanisms and function are not well understood. Although there are experimental and theoretical studies that hint to some answers, systematic answers to these questions have not yet been found.
Although number of computational methods have been developed to detect protein knots, there are still no completely automatic methods to detect protein knots without necessary manual intervention due to the missing residues or chain breaks in the X-ray structures or the nonstandard PDB formats.
^Perlinska, Agata P.; Niemyska, Wanda H.; Gren, Bartosz A.; Rubach, Pawel; Sulkowska, Joanna I. (2022-01-01). "New 63 knot and other knots in human proteome from AlphaFold predictions". pp. 2021.12.30.474018. bioRxiv10.1101/2021.12.30.474018.
^Robert, Scharein. "KnotPlot: Hypnagogic Software (Version 0.1)". Nearly all of the images here were created with KnotPlot, a fairly elaborate program to visualize and manipulate mathematical knots in three and four dimensions.