Recent computational studies of simple models of protein folding have
concluded that a pronounced energy minimum (i.e. large gap in energy b
etween low-energy states of the model) is a necessary and sufficient c
ondition to ensure folding of a sequence to its lowest-energy conforma
tion. Here, we show that this conclusion strongly depends on the parti
cular temperature scheme selected to govern the simulations. On the ot
her hand, we show that there is a dominant factor determining if a seq
uence is foldable. That is, the strength of possible interactions betw
een residues close in the sequence. We show that sequences with many p
ossible strong local interactions (either favorable or, more surprisin
gly, a mixture of strong favorable and unfavorable ones) are easy to f
old. Progressively increasing the strength of such local interactions
makes sequences easier and easier to fold. These results support the i
dea that initial formation of local substructures is important to the
foldability of real proteins. (C) 1996 Academic Press Limited