Background: Methods of model protein design have until now been largel
y ad hoc, yielding sequences that are foldable only at some seemingly
arbitrary simulation temperature. But real proteins exist and must fol
d within an imposed thermal environment. The need exists for a sequenc
e design method based on statistical-mechanical first principles, thus
containing a rigorous treatment of folding temperature. Results: In t
his work, we report a method of rational sequence design that takes a
target structure and a desired optimal folding temperature T-Z and gen
erates a sequence that is predicted to be thermodynamically stable wit
h respect to the target structure at a folding temperature T-F approxi
mate to T-Z. This 'cumulant design method' is based on a mean-field hi
gh temperature expansion of the molecular partition function. Folding
simulations of the designed sequences confirm that sequences designed
at T-Z do indeed fold optimally when T-F approximate to T-Z. Conclusio
ns: The cumulant method is highly successful in designing model protei
ns, It also provides some insight into the thermal properties of real
proteins, illuminating the features that distinguish thermostable and
psychrotropic (cold-loving) sequences from their mesophilic counterpar
ts. (C) Current Biology Ltd