A R T I C L E S
Gough et al.
Scheme 5
The portion of species in the preequilibrium mixture that can
be directly and rapidly converted to native RNase A is critical
for the overall rate of protein folding. We will refer to these
species as productive intermediates. For the folding of RNase
A with DTT, the relative concentration of the 3S species,
excluding des[40-95] and des[65-72], within the preequilib-
rium mixture is crucial. For the folding of RNase A with DTT
or monothiols, such as glutathione, the relative portion of
productive intermediates will vary with the composition of the
redox buffer. If the concentration of the small molecule thiol
(RSH) is higher than optimal, then the portion of productive
intermediates is reduced, presumably by inhibiting the formation
of disulfide bonds. As a result, at high glutathione concentrations
folding rates of RNase A decrease even though the rates of many
of the reactions involved actually increase. Therefore, increasing
the rate of the eight thiol-disulfide interchange reactions in
Scheme 3 is likely very desirable but may not result in an overall
increased rate of protein folding due to changes in the composi-
tion of the preequilibrium mixture.
The composition of the preequilibrium mixture will be
dependent on the concentration of the redox buffer thiol in the
protonated SH form. The equilibrium constant for the formation
of mixed disulfide with the protein is shown in eq 3, where
PSSR is the mixed disulfide between protein and small-molecule
thiol, RSH is the small-molecule thiol, RSSR is the small-
molecule disulfide, and PSH is a free thiol group on the protein.
The redox potential is proportional to ln([RSH]2/[RSSR]). In
both cases it is the concentration of the small-molecule thiol in
the protonated form that is important (Scheme 5). Thus, in
comparing results at the optimum concentrations of 1 and
glutathione, we report below both the total concentration of thiol
and the concentration of thiol in the protonated form. The
concentration of the thiol in the protonated form will be a
function of the total thiol concentration, the thiol pKa value,
and the pH of the solution.
Figure 4. Folding pathway of RNase A in the presence of DTT proposed
by Scheraga et al.32-34 The folding pathway involves reduced RNase A
(R); RNase A with one (1S), two (2S), three (3S), or four diuslfide (4S)
bonds; native RNase A (N); and RNase A with three native disulfide bonds
but lacking the disulfide bond between amino acids 40 and 90 (des[40-
95]) or between amino acids 65 and 72 (des[65-72]. A minor pathway
between the 2S species and the two des species exists but is not shown.
times faster than those with glutathione, all else being equal.
The rate constant for reaction I in Scheme 3, which does not
involve the small-molecule thiol, should be unaltered by the
choice of aromatic thiol or glutathione.
On the basis of the above analysis, aromatic thiol 1 is
predicted to increase the observed rate constants for seven of
the eight thiol-disulfide interchange reactions (reactions II-
VIII) relative to glutathione. Thus, aromatic thiol 1 might be
expected to enhance the folding rate of disulfide-containing
proteins considerably relative to glutathione at pH 7.0 or 7.7.
However, increasing the folding rate of disulfide-containing
proteins is much more complex than increasing the rates of these
eight reactions in isolation.9,30,31 For example, increasing the
concentration of glutathione beyond a certain point only
decreases the folding rate of RNase A, although it should
increase the rate of many of the eight reactions.9 This result
can be understood on the basis of the mechanism of protein
folding. The formation of native RNase A, which contains four
correctly matched disulfide bonds, from reduced RNase A in
the presence of a redox buffer has been well studied.27,32-34
The work has concentrated on the folding pathway in the
presence of glutathione or DTT, a less efficient catalyst for
folding RNase A. In the presence of oxidized DTT, reduced
RNase A is rapidly converted into a mixture containing many
different protein species such as reduced RNase A (R) and
RNase A with one (1S), two (2S), three (3S), or four (4S)
disulfide bonds (Figure 4).26,27,32-34 The species within the
mixture reach a quasi-equilibrium state (preequilibrium mixture).
The 3S species, excluding des[40-95] and des[65-72], are then
transformed via rate-determining steps to des[40-95] and
des[65-72], which are native RNase A lacking either the
disulfide bond between amino acids 40 and 95 or between amino
acids 65 and 72, respectively. The two des species are then
converted to native RNase A. The folding pathway of RNase
A in the presence of glutathione, a monothiol, is similar to that
with DTT, a dithiol. A preequilibrium mixture is formed and
then via rate-determining steps native RNase A is formed.
However, the rate-determining steps may be different with
monothiols. Also, the preequilibrium mixture probably will
contain a greater proportion of mixed disulfides between protein
and redox buffer. Mixed disulfides between proteins and DTT
usually have a fleeting existence due to an intramolecular
displacement by the second thiol of DTT.
K(mixed disulfide) ) [PSSR][RSH]/([RSSR][PSH]) (3)
On the basis of the preequilibrium analysis it is predicted
that protein folding rates should increase with the concentration
of small molecule thiol, reach a plateau, and then decrease. As
expected, the protein folding rate constants of both reduced and
scrambled RNase A as a function of glutathione concentration
increase to an optimum concentration and then decrease (Figures
1 and 2). The optimum concentration was between 1 and 2 mM,
similar to what had been observed previously at pH 8 with
reduced RNase A.9 With the aromatic thiol the rate constants
increased and then remained uniform as the concentration of
thiol was increased (Figures 1 and 2). However, the initial rate
of protein folding, A × k, in the presence of an aromatic thiol
increased, plateaued, and then decreased. On the basis of the
initial rate of protein folding, the optimum concentrations of
aromatic thiol were approximately 4.5 (pH 7.0) and 6.5 mM
(pH 7.7).
(30) Konishi, Y.; Ooi, T.; Scheraga, H. A. Biochemistry 1982, 21, 4734-40.
(31) Saxena, V. P.; Wetlaufer, D. B. Biochemistry 1970, 9, 5015-23.
(32) Wedemeyer, W. J.; Welker, E.; Narayan, M.; Scheraga, H. A. Biochemistry
2000, 39, 4207-4216.
Comparing the optimum concentrations of thiols in terms of
the concentration of protonated (SH) form results in the optimum
glutathione concentration being greater than that of the aromatic
(33) Welker, E.; Narayan, M.; Wedemeyer, W. J.; Scheraga, H. A. Proc. Natl.
Acad. Sci. U.S.A. 2001, 98, 2312-2316.
(34) Narayan, M.; Welker, E.; Wedemeyer, W. J.; Scheraga, H. A. Acc. Chem.
Res. 2000, 33, 805-812.
9
3890 J. AM. CHEM. SOC. VOL. 124, NO. 15, 2002