Among an infinite number of possible folds, nature has chosen only about 1000 distinct folds to form protein structures. Theoretical studies suggest that selected folds are intrinsically more designable than others; these selected folds are unusually stable, a property called the designability...

We propose an explanation for the origin of the lognormal shape in the boson-peak anomaly of globular proteins. The origin is ascribed to a distribution of quasi-localization lengths for acoustic waves within the protein. The local densities of states for different sites display logarithmic...