The design of idealized alpha/beta-barrels: analysis of beta-sheet closure requirements

The 8-fold parallel alpha/beta-barrel topology is encountered in proteins that display an impressive variety of functions, suggesting that this topology may be a rather nonspecific and stable folding motif. Consequently, this motif can be considered as an interesting framework to design novel proteins. It has been shown that the shape of the beta-sheet portion of the barrel can be approximated by a hyperboloid. This geometric object may therefore be used as a scaffold to construct an idealized eight-stranded beta-barrel. To facilitate the de novo design of such structures, a collection of modeling tools has been developed allowing secondary structure elements to be mapped onto the scaffold surface and rotation and translation operations to be performed about user defined axes while evaluating their contribution to the conformational energy of the system. These tools have been applied in a systematic study assessing the phi, psi requirements to design symmetric eight stranded beta barrels with optimal hydrogen bonding between adjacent beta-strands. It is observed that: (a) the beta-sheet structure can be closed without introducing irregular stagger between beta-strands and (b) the region of phi, psi dihedral angle space compatible with the formation of regular symmetric eight stranded beta-barrels coincides with the phi, psi region corresponding to average beta-strands in known protein structures, suggesting that barrel closure does not impose gross constraints on beta-strand geometry.