Euclidean perspective on the unfolding of azurin: angular correlations

The geometrical model introduced previously by the authors has been extended quantitatively to document changes in angular correlations between and among residues as azurin unfolds. In the early stages of denaturation, these changes are found to be more pronounced than changes in the spatial displacement of residues, a result that is also found for residues acting in concert, viz., α-helices, β-sheet residues and residues in 'turning regions.' Our analysis leads to a picture of the large-scale motion of the polypeptide chain as azurin denatures. Flanking a central 'ribbon' of residues whose orientation remains essentially invariant, we find that in the early stages of unfolding, left- and right-hand 'wings' adjacent to this stationary scaffolding pivot counterclockwise, while smaller regions on opposing ends of the β-barrel pivot clockwise. As spatial constraints characterising the native state are further relaxed, our calculations show that some regions reverse their orientational motion, reflecting the enhanced flexibility of the polypeptide chain in the denatured state.