Open Collections

Description

Employing the MDS analysis, one defines the knot type of open chains thereby providing a basic tool in the study of fine –grained knotting structure in proteins (or other open chains) as well as classical topological knots (for example tight knots). The resulting matrix of data arising from the entire collection of sub chains is represented as a triangular or circular knotting fingerprint. From the knotting regions one derives an oriented graph from whose characteristic structure one can derive characteristics of the complexity of the knotting and the knotting pathways associated to the given protein structure or the specific tight knot type. This is joint research with Henrich, Hyde, Rawdon, and Stasiak.