A R T I C L E S
Hill et al.
partially rate-limited by CR-H deprotonation, as judged from
kinetic isotope effects16,53 and this partial rate limitation
disappears as the rate for the deprotonation step increases with
excitation power, with subsequent, light-independent steps
becoming rate-limiting. Equation 2 (see Supporting Information
for derivation) models the light-dependent increase in kcat,
relative to the thermal reaction, for a simplified model of the
AAT reaction.
The existence of the quinonoid intermediate on the productive
thermal pathway in AAT has been contested in the literature.16,53
The quinonoid is observed at low concentration in equilibrium
mixtures of AAT with aspartate or glutamate and their respective
R-keto acids.16,40,54 The alternative substrate erythro-ꢀ-hydroxy-
aspartate gives a higher fraction of AAT in the quinonoid
state.40,55 The quinonoid has been established as a kinetically
competent intermediate in the reaction of AAT with the
alternative substrate L-cysteine sulfinate56 and in numerous other
PLP enzymes including Citrobacter freundii tyrosine phenol-
lyase57 and dialkylglycine decarboxylase.58 An alternative AAT
mechanism was suggested by Goldberg and Kirsch in which
the 1,3-prototropic shift from external aldimine to ketimine is
concerted, with the quinonoid intermediate off the productive
pathway.16 They speculated that the 1,3-prototropic shift
proceeds through a nonlinear transition state with simultaneous
CR-H deprotonation and C4′ protonation catalyzed by K258.
COPASI47 was used to simulate steady-state kinetic data from
which kcat values for AAT catalyzed reactions at various light
intensities were calculated. Simulations include the microscopic
rate constants in model 1 of Figure 8, which has the quinonoid
intermediate on the thermal pathway. Rate constants in black
were obtained from the literature15,16 or obtained from the
analysis above. The values of 11550 and 800 s-1 were estimated
from the percentage population present on AAT saturated with
both aspartate and oxalacetate (20% external aldimine and 1%
quinonoid intermediate).16 The simulated data clearly reproduce
the nonlinear power dependence of the observed value of kcat.
In contrast, model 2, with the quinonoid off the thermal
pathway,16 predicts an inhibition of catalytic activity since
photoexcitation would decrease the population on the productive
pathway. Thus, the photoenhancement results presented here
strongly support the quinonoid being on the productive thermal
pathway, as well as the photochemical pathway. Corroborating
this, it is also found that 440-nm irradiation increases the
population of the quinonoid intermediate in stopped-flow
experiments with AAT (unpublished results).
λk3
k3
k3
k4
λk3
k4
1 +
+
+
λkcat
kcat
)
(2)
k3
k4
λk3
k4
1 +
+
Here, k3 is the net rate constant for conversion of enzyme
bound aspartate (which includes Michaelis complex and external
λ
aldimine) to the quinonoid, k3 is the net rate constant for the
light-dependent pathway for quinonoid formation, and k4 is the
net rate constant for all steps subsequent to quinonoid formation
(i.e., reprotonation at C4′, ketimine hydrolysis, and the second
half-reaction with R-ketoglutarate). The model used here
subsumes the equilibrium constant for Michaelis complex-
external aldimine interconversion into k3 along with external
aldimine deprotonation. This equilibrium constant is known to
be near unity.15
Values for k3 and k4 for the simplified model of the thermal
reaction were determined by fitting eq 2 to the experimental
values of kcat as a function of excitation power (Figure 8). To
do this, values of λk3 were first calculated for each experimental
excitation power, using rate constants obtained directly from
the transient absorption experiments reported above, with k* )
B12I/c, where B12 is the Einstein B coefficient for absorption
(assuming a 0.64 yield for quinonoid from triplet), I is the
irradiance per unit frequency interval in W m-2 Hz-1, and c is
the speed of light (see Supporting Information). The λk3 values
were then used as the independent variable against which the
λ
ratio kcat/kcat was fitted. The fit resulted in values of k3 ) 230
Photoenhancement of the activity of other PLP-dependent
enzymes (dialkylgycine decarboxylase and alanine racemase)
occurs with magnitudes similar to that with AAT (unpublished
results). Thus, the acceleration of PLP enzymes by light may
well be a general phenomenon. If this is the case, then the light
dependence of the activity of PLP-dependent enzymes may play
a heretofore unrecognized role in the physiology of organisms
that live under solar radiation (e.g., plants, fungi, algae, bacteria).
PLP enzymes are ubiquitous in the physiology of all organisms,
being central to amino acid metabolism. In E. coli, PLP enzymes
constitute ∼2% of the proteins encoded in the genome.7 Under
the solar standard AM 1.5, ∼30% of solar spectrum is resonant
with the external aldimine absorption band in AAT. If the full
resonant flux were absorbed, the results reported here suggest
that there would be a generalized 50% increase in the activity
of PLP enzymes. Even a fraction of this calculated increase in
the activity of such a large number of enzymes could have very
significant biological effects. One can speculate the involvement
( 45 s-1 and k4 ) 425 ( 73 s-1. The value of kcat for the overall
thermal reaction calculated from the fitted values of k3 and k4
is 149 ( 23 s-1, in good agreement with the present and
literature values.15,16 These results demonstrate the power of
selectively perturbing a single step by a known amount in a
multistep process such as the AAT reaction with aspartate. Here,
it allows one, from purely steady-state rate measurements, to
define the value of the thermal rate constant for the perturbed
step as well as for subsequent steps.
The rate constants for both K258A and Schiff bases in water
will saturate at high excitation power due to saturation of the
external aldimine optical transition. When the rate of excitation
equals the rate of de-excitation due to stimulated emission
pumping of the excited state (i.e., dEA*/dt ) 0), the steady-
state concentration of excited singlet and the triplet states
becomes independent of excitation power. Because the singlet
excited state is longer lived for K258A (k ≈ 1 × 108 s-1; data
not shown) compared to Schiff bases in solution or on AAT
(k ≈ 9 × 108 s-1), the optical transition saturates at a higher
excitation power (Supporting Information, Figure S13). COPASI
simulations of the AAT reaction indicate that optical saturation
has a significant effect on kcat only at much higher excitation
powers than reported here.
(54) Jenkins, W. T.; Taylor, R. T. J. Biol. Chem. 1965, 240, 2907.
(55) Jenkins, W. T. J. Biol. Chem. 1961, 236, 1121.
(56) Furumo, N. C.; Kirsch, J. F. Arch. Biochem. Biophys. 1995, 319, 49–
54.
(57) Chen, H. Y.; Phillips, R. S. Biochemistry 1993, 32, 11591–11599.
(58) Zhou, X. Z.; Jin, X. G.; Medhekar, R.; Chen, X. Y.; Dieckmann, T.;
Toney, M. D. Biochemistry 2001, 40, 1367–1377.
(53) Gloss, L. M.; Kirsch, J. F. Biochemistry 1995, 34, 3999–4007.
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16960 J. AM. CHEM. SOC. VOL. 132, NO. 47, 2010