Chain topology in beta-structured protein domains and handedness assoc
iated with it are discussed. Previously, other workers have shown that
by considering just two restrictions-structures that are left-handed
and/or have loops that cross can be disregarded-the number of topologi
es associated with such structures is expected to be severely limited.
By way of example, we determine the number of topologies compatible w
ith a six-stranded antiparallel beta-sandwich. Without restriction on
the type of strand - strand connection allowed but with elimination of
symmetry related structures 360 topologies are possible. If connectio
ns between parallel strands are disqualified the number is reduced, 10
-fold, to 36. The figure is cut to 24 when structures with loop crossi
ngs are eliminated. Handedness in these structures is examined in deta
il and from this a rationale for the observed predominance of right-ha
nded forms of beta-structures is presented. The 24 structures can be c
onsidered as a set of right- and left-handed pairs of 12 topologies. A
ll but two of these pairs can be assigned hands on the basis of existi
ng rules. Six of the structures are found to occur in the Brookhaven P
rotein Databank and all are right-handed. This study provides a basis
for protein design projects which might, for example, attempt the synt
hesis of unobserved protein topologies. Of the 24 structures in the fi
nal set eight are examples of the classic Greek key fold. Thus, the pr
edominance of this motif among all-beta proteins can be attributed in
part to these topological constraints. The possible physicochemical or
igins of the structural selection rules and additional factors which m
ight contribute to the particular favourability of certain structures
are also explored.