Protein folding is a very difficult global optimization problem. Furthermor
e it is coupled with the difficult task of designing a reliable force field
with which one has to search for the global minimum. A summary of a series
of optimization methods developed and applied to various problems involvin
g polypeptide chains is described in this paper. With recent developments,
a computational treatment of the folding of globular proteins of up to 140
residues is shown to be tractable.