Background: A common approach to the protein folding problem involves
computer simulation of folding using lattice models of amino acid sequ
ences. Key factors for good performance in such models are the correct
choice of the temperature and the average interaction energy between
residues. In order to push the lattice approach to its limit it is imp
ortant to have a method to adjust these parameters for optimal folding
that is not limited by our ability to successfully simulate folding i
n a reasonable time. Results: In this study, we adopt a simple cubic-l
attice model and present a method for calculating the free energy of a
chain as a function of the number of native contacts. This does not r
equire that we are able to fold the sequence by simulation and it prov
ides a method of estimating the folding transition temperature. For a
given set of parameters, the free energy analysis also allows an estim
ate of foldability. By applying the method to sequences with 27 and 12
5 residues, we show that optimal folding occurs near the folding trans
ition temperature and at either zero or small negative average interac
tion energy. We find ourselves able to fold only 125-mers that have si
gnificant short-range native contacts. Conclusions: A free energy anal
ysis during unfolding is a useful tool for the study of foldability an
d should be applicable to a variety of folding models. In this way we
are able to fold some 125-mer designed sequences and our results confi
rm the finding that short-range contacts contribute to foldability.