The last stage of protein folding, the ''endgame,'' involves the order
ing of amino acid side-chains into a well defined and closely packed c
onfiguration. We review a number of topics related to this process. We
first describe how the observed packing in protein crystal structures
is measured. Such measurements show that the protein interior is pack
ed exceptionally tightly, more so than the protein surface or surround
ing solvent and even more efficiently than crystals of simple organic
molecules. In vitro protein folding experiments also show that the pro
tein is close-packed in solution and that the tight packing and interc
alation of sidechains is a final and essential step in the folding pat
hway. These experimental observations, in turn, suggest that a folded
protein structure can be described as a kind of three-dimensional jigs
aw puzzle and that predicting side-chain packing is possible in the se
nse of solving this puzzle. The major difficulty that must be overcome
in predicting side-chain packing is a combinatorial ''explosion'' in
the number of possible configurations. There has been much recent prog
ress towards overcoming this problem, and we survey a variety of the a
pproaches. These approaches differ principally in whether they use ab
initio (physical) or more knowledge-based methods, how they divide up
and search conformational space, and how they evaluate candidate confi
gurations (using scoring functions). The accuracy of side-chain predic
tion depends crucially on the (assumed) positioning of the main-chain.
Methods for predicting main-chain conformation are, in a sense, not a
s developed as that for side-chains. We conclude by surveying these me
thods. As with side-chain prediction, there are a great variety of app
roaches, which differ in how they divide up and search space and in ho
w they score candidate conformations.