A proteomic Ramachandran plot (PRplot)

Each protein structure can be characterized by the average values of the main chain torsion angles ϕ and ψ and, as a consequence, be plotted on a bidimensional diagram, which resembles the Ramachandran plot. Here, we describe a proteomic ϕ-ψ plot (PRplot) where each protein structure is associated with one point, allowing in this way to represent the entire protein structure universe. It was verified that the PRplot is a robust tool since it does not depend on the dimension of the proteins, on the crystallographic resolution of the structures, nor on the biological source; moreover, it is little affected by disordered and structurally uncharacterized residues. The proteins mapped on the PRplot tend to cluster in three regions that correspond to the structures rich in alpha-helices, in beta-strands, and in both helices and strands, and are distributed along a sigmoidal curve that connect these three highly populated regions. PRplots are a unique instrument to project all protein structures on a single bidimensional plane where the entire structural complexity is reduced to a striking simplicity, with the sigmoid curve clearly delineating the space fraction accessible to a stable protein.