The temperature, pH, and salt dependence of the folding of recombinant
Sac7d from the hyperthermophile Sulfolobus acidocaldarius is mapped u
sing multi-dimensional differential scanning calorimetry (DSC) and fol
ding progress surfaces followed by circular dichroism. Linkage relatio
ns are derived to explain the observed dependencies, and it is shown t
hat the data can be explained by the linkage of at least two protonati
on reactions and two anion binding sites to a two-state unfolding proc
ess. Circular dichroism spectra indicate that a native-like fold is st
abilized at acid pH by anion binding. An apparent binding isotherm sur
face (folding progress versus pH and salt) is used to obtain intrinsic
chloride binding constants as a function of pH for both sites. A sadd
le is predicted in the folding progress surface (progress versus tempe
rature and pH) at low salt with a minimum near pH 2 and 20 degrees C w
ith approximately 25% of the protein folded. The position of the saddl
e is sensitive to the intrinsic Delta C-p(o) of unfolding and provides
a third measure of Delta C-p(o) independent of that obtained by a Kir
chhoff plot of DSC data and chemical denaturation. The observed enthal
py of unfolding approaches zero near the saddle making the unfolding l
argely invisible to DSC under these conditions. The Linkage analysis d
emonstrates that the Delta C-p(o) for unfolding obtained from a Kirchh
off plot of DSC data should be distinguished from the intrinsic Delta
C-p(o), of unfolding. It is shown that the discrepancy between the fre
e energy of unfolding for Sac7d obtained by DSC and that obtained by c
hemical denaturation may be explained by the linkage of protonation an
d anion binding to protein folding. The linkage analysis demonstrates
the limitations of using the Delta H-cal/Delta H-vh ratio as an indica
tion of two-state unfolding. (C) 1998 Academic Press Limited.