1012 J. Am. Chem. Soc., Vol. 122, No. 6, 2000
Phillips et al.
For the mechanism given in eq 2, kcat/Km for L-tryptophan
obtained in steady-state kinetic studies is given by eq 3, since
The reaction of â,â-2H-L-tryptophan shows a normal second-
ary isotope effect on R-aminoacrylate intermediate formation,
as expected for the Câ-C3 bond cleavage, which takes place
with an sp3 to sp2 hybridization change at Câ. The secondary
isotope effect for â,â-dideuterio-L-tryptophan, calculated by
comparison of the reactions of normal and â,â-dideuteriotryp-
tophan, is 1.17. Since the substrate used contained about 65%
deuterium on the â-position, the calculated maximum secondary
isotope effect is 1.28. This is considerably less than the
secondary isotope effect of 1.81 on the formation of the
R-aminoacrylate intermediate from â,â-di-2H-O-acetyl-L-serine
by O-acetylserine sulfhydrylase.19 The reaction of R,â,â-2H-L-
tryptophan also shows a significantly larger isotope effect than
R-2H-L-tryptophan, demonstrating that the primary and second-
ary deuterium isotope effects on the Câ-C3 bond cleavage are
multiplicative. This is consistent with the proton transfer to C3
of indole and the Câ-C3 bond breakage taking place simulta-
neously rather than stepwise. In contrast, for the expected
stepwise mechanism, with proton transfer to the ipso carbon of
the indole to form a discrete indolenine intermediate preceding
Câ-C3 bond cleavage, the observed primary isotope effect
would be expected to decrease for the multiply labeled substrate.
The temperature dependence of the rate constant for R-ami-
noacrylate intermediate formation also shows a linear Eyring
plot (Figure 3), which is consistent with a single step in the
indole elimination. This conclusion is also consistent with
studies of the reaction of 6-(difluoromethyl)tryptophan with
Trpase by Woolridge and Rokita, which showed no evidence
for fluoride elimination and hence argued against deprotonation
of the indole NH in the elimination mechanism.20
kcat/Km ) k2k3/(K1(k-2 + k3))
(3)
indole release is the first irreversible step under initial rate
conditions. Applying the values for the kinetic parameters
obtained in this and previous pre-steady-state studies to eq 3
gives a predicted kcat/Km for L-tryptophan of 3.5 × 104 M-1
s-1, in excellent agreement with steady-state kinetic measure-
ments of 3 × 104 M-1 s-1 17
. Furthermore, in previous steady-
state kinetic isotope effect experiments, we observed a primary
isotope effect on kcat/Km of 2.8 for R-2H-L-tryptophan.17 At that
time, we made a resonable assumption that the only isotope
sensitive step in the reaction of R-2H-L-tryptophan was R-depro-
tonation. However, it is now clear from the present data that
R-deuteration affects both R-deprotonation (k2) and indole
elimination (k3), and thus the observed deuterium isotope effect
on kcat/Km comes from both k2 and k3.
The observed isotope effect of R-2H-L-tryptophan on k3 was
initally surprising. This isotope effect could arise either from
direct transfer with internal return of the R-proton to the indole
leaving group or indirectly through a hydrogen-bonding network.
The intramolecular transfer of a deuterium atom from R-2H-L-
tryptophan to C3 of indole was reported by Vederas et al. in
1978,9 based on NMR analysis of indole isolated from reaction
mixtures of R-2H-L-tryptophan. Depending on the reaction
conditions, the retention of deuterium in the indole product
derived from R-2H-L-tryptophan was only 7.9% in H2O but
100% in D2O. Vederas et al. concluded that the isotope transfer
was intramolecular by examining the product of a mixture of
R-deuterated and ring-deuterated tryptophans.9 Our kinetic
studies are in agreement with this result, as the rate constant
for indole elimination shows a significant isotope effect of about
3 with R-2H-L-tryptophan. An increase in the observed isotope
effect on the elimination to 4.30 is observed when the reaction
of R-2H-L-tryptophan is performed in D2O (Table 1), which
suggests that there is some partial exchange of the R-proton
prior to transfer to the indole ring even in a single turnover.
The value of 4.3 must be the maximum isotope effect on indole
formation, since Vederas et al. found that the indole product
contains 100% deuterium at C3 under these conditions.9 The
solvent and R-substrate deuterium isotope effects on indole
elimination are not strictly multiplicative, indicating that they
are not independent. This would be the case if partial exchange
of a single proton were taking place. A solvent isotope effect
of 1.79 is seen on elimination of indole when the reaction of
L-tryptophan is performed in D2O (Table 1). This result is in
agreement with, but somewhat smaller than, the solvent isotope
effect of 2.5 ( 0.4 that we observed previously on the second
phase of formation of the quinonoid intermediate.16 This
difference likely reflects the experimental difficulty in accurately
fitting the intermediate phase of a three exponential process.
The present experiments isolate the elimination step as a single
exponential process, giving much greater precision in the fitting.
These solvent isotope effects on the reaction of Trpase are
considerably smaller than the solvent isotope effect of 6.9 (
2.3 determined by Kiick from steady-state kinetic measure-
ments.18 However, Kiick determined that multiple waters were
involved and concluded that the solvent effect was due to
changes in solvation of the enzyme. It is possible that a solvent
sensitive conformational change takes place after indole release
and prior to or concomitant with release of the pyruvate product.
The reaction of indole with the preformed R-aminoacrylate
intermediate, prepared by addition to the enzyme of benzimi-
dazole together with L-serine, forms a transient quinonoid
intermediate with λmax at 505 nm (Figure 4), resulting from the
Michael-type addition of indole at C3 to the â-carbon of the
R-aminoacrylate complex. The decay of this transient intermedi-
ate is biphasic, since it has two possible modes of reaction, either
elimination of the indole or reprotonation to tryptophan. For
the reaction of indole with the R-aminoacrylate intermediate,
Eaa, the apparent rate constant for formation of the quinonoid
intermediate, Eq, should be given by eq 4. From the results
1/τ ) k-3[In] + (k-2 + k3)
(4)
shown in Figure 5, which show second-order kinetics under
pseudo-first-order conditions, we can conclude that there is no
kinetically significant noncovalent complex of indole with the
R-aminoacrylate intermediate, Eaa. The value of k-3 of 1.33 ×
106 M-1 s-1 comes from the slope in Figure 5. The intercept of
the plot in Figure 5 should give the sum of the rate constants
of the two ways in which the quinonoid intermediate can break
down, by indole elimination, k3, and R-protonation, k-2. This
intercept value is 76.8 ( 12.3 s-1, in reasonable agreement with
the predicted value of 92 s-1, calculated from 32 s-1 for k3
obtained in the forward direction with benzimidazole and 60
s-1 for k-2 obtained in the reaction of L-tryptophan.10,14,15,16 For
the reaction of 3-2H-indole, the rate constant for quinonoid
intermediate formation, taken from the slope of the line in Figure
4, is 6.4 × 105 M-1 s-1. The isotope effect observed with 3-2H-
indole is thus 1.88, which is consistent with a primary isotope
effect of the C3-indole hydrogen on the formation of the
quinonoid intermediate. A secondary isotope effect might well
(19) Hwang, C. C.; Woehl, E. U.; Minter, D. E.; Dunn, M. F.; Cook, P.
F. Biochemistry 1996, 35, 6358-6365
(20) Woolridge, E. M.; Rokita, S. E. Biochemistry 1991, 30, 1852-1857.
(17) Kiick, D. M.; Phillips, R. S. Biochemistry 1988, 27, 7339-7344.
(18) Kiick, D. M. J. Am. Chem. Soc. 1991, 113, 8499-8504.