Shear numbers of protein beta-barrels: definition refinements and statistics

The original definition of shear number for a beta-barrel is not unique if it contains one or more uneven beta-bulges. We define the shear number of a beta-barrel as the minimal change of residue numbers in the backbone direction for all closed paths on the beta-barrel. We also discuss how to overcome some computational difficulties. It is pointed out that some closed beta-sheets should not be considered as beta-barrels. The pertinent statistics obtained from a representative list of the Protein Data Bank entries are summarized. All beta-barrels have positive shear numbers, i.e. they are right-twisted. The shear numbers of most beta-barrels are even, but exceptions do exist. The sizes of beta-ladders in a beta-barrel vary significantly. Most beta-barrels contain uneven beta-bulges, which may have important biological functions.