Proteins are long chain molecules that fold up into beautiful and complicated three-dimensional structures before fulfilling their biological functions in the living organisms. With the aim of providing an efficient tool for describing the proteins' native folds, we present a global geometric measure of a space curve. This geometric measure allows us to define descriptors of protein structures that quantify how parallel the secondary structure elements of a protein are. These descriptors are C-2 in deformations of the protein structure, are evaluated very fast and reliably, and are demonstrated to capture essential parts of the protein native fold universe.
- protein structure classification
- Gauss integrals
- protein structure description
- parabolic section of two space curves
- distance excess of a space curve