116
S. Ogawa et al. / Journal of Inorganic Biochemistry 105 (2011) 111–117
Table 2
between determinations. Among the Vmax and KE1 values obtained by
applying the one-site model, the parameters estimated from the PCS
activity determined at 5 and 10 μM total Cd(II) are likely reasonable
estimates (Table 1). The parameters obtained at 1 μM Cd(II) seemed
to be erroneous due to poor data quality. The parameters obtained at
50 and 500 μM Cd(II) also seemed to be incomplete, because the plots
exhibited sigmoidal profiles at lower GSH concentrations. The
parameters obtained using the two-site model are likely to be
consistent, although the KE1 at 500 μM total Cd(II) represented
approximately 20% of that obtained from the data sets at 5 or
Estimation of the affinity constants of Cd(II) to rAtPCS1 determined under conditions
with various concentrations of total Cd(II) with a constant total GSH concentration.a)
max (μmol min−
1
K ) K )
E1/109 (M−1 E2/109 (M−1 R2b)
GSH
Range of
V
mM) Cd(II) (μM) mg− protein)
1
(
5
2
0–100
0–500
244± 17
194± 14
23.4± 9.8
25.3± 8.6
0.557± 0.081
0.403± 0.085
0.986
0.968
0
a)
b)
Figures represent estimated value± standard error.
represents the correlation coefficient between experimentally determined
R
activity and that estimated using the two-site model.
2
0 mM total GSH with varying total Cd(II) concentration (Table 2
versus Table 3). Averaging these values amounted to Vmax =301±
−
1
−1
10
−1
4
K
8 μmol min
mg
protein, KE1 =(1.86± 0.61)×10
M
, and
8
−1
(
Table 2). Simulations of PCS activity using the Vmax, KE1, and KE2
E2 =(7.11± 2.83)×10 M , where the parameters obtained using
values thus obtained for PCS activity at 5 and 20 mM GSH were in
accordance with the experimentally obtained PCS activity in both
cases, as shown by the solid lines in Fig. 3A and B. Furthermore, the
parameters estimated from PCS activity at 5 mM GSH were consistent
with those obtained at 20 mM GSH: the Vmax, KE1, and KE2 estimated
from the activity determined at 5 mM GSH were 125%, 92.5%, and
the one-site model with PCS activity at 1, 50, and 500 μM total Cd(II)
were omitted.
The KE2 value may be greater than the value presented in this
study, because an assumption was made in the optimization that PCS
activity is completely lost when the second Cd(II) binding site of
rAtPCS1 is occupied by Cd(II). However, the observation that the PCS
activity of rAtPCS1 determined at 500 μM Cd(II) represented only 8%
of that at 4 μM Cd(II) (Fig. 3A) indicates that the enzyme bound by
two Cd(II) ions seemed to have very limited PCS activity. This was
supported by the optimization practice, in which consistent para-
meters can be obtained only when the PCS activity of the enzyme
bound by two Cd(II) ions supposedly had less than 3% enzyme
activity.
1
38% of those at 20 mM GSH, respectively. These results demonstrat-
ed unequivocally that, in addition to the first Cd(II) binding site that is
essential for activation of the enzyme, rAtPCS1 possesses a second Cd
(
II) binding site that is responsible for inactivation of the enzyme. A
possible alternative interpretation for the reduced PCS activity in the
presence of higher Cd(II) concentrations is partial denaturation of the
enzyme. However, this contribution seemed to be excluded as the
level of free Cd(II) was still low even at the highest total Cd(II)
concentration in Fig. 3A, which was calculated to be 49 nM.
The optimization of PC activity at a constant free Cd(II)
concentration gave a nominal Vmax value (V′max). Using a calculated
−
10
A sigmoidal increase in activity was observed at GSH concentra-
tions of 0–20 mM for the assay containing 50 and 500 μM total Cd(II)
free Cd(II) level of 1.22×10
rAtPCS1 yielded fractional concentrations of rAtPCS1, Cd(II)-rAtPCS1,
and Cd(II) -rAtPCS1 of 28.8%, 65.5%, and 5.7%, respectively. From
M, the association constant of Cd(II) to
(
Fig. 2). This is particularly true for the PCS assay performed in the
presence of 500 μM total Cd(II). It is likely that an increase in free Cd
II) level at lower GSH concentrations is responsible for this
phenomenon, because under such conditions, high levels of free Cd
II) may be present in the assay solution, and Cd(II) may occupy the
2
−
1
− 1
these values, Vmax was calculated to be 227 μmol min
mg
(
protein, in reasonable agreement with the averaged value.
(
second binding site of rAtPCS1, suppressing the activity. This type of
inhibition of PCS activity is anticipated to be more severe at lower
concentrations of total GSH. For these situations, Eq. (7) was
employed again to follow the PCS activity determined as a function
of total GSH concentration. Simulations of PCS activity using the
optimized parameters, which are shown in Table 3, were consistent
with the experimentally determined PCS activity in the presence of 5
and 20 mM GSH, as shown by the solid lines in Fig. 3A and B. An
improvement in the correlation coefficient between simulated and
experimentally determined PCS activity was apparent when the two-
site model was employed. This also supports the suggestion that
rAtPCS1 possesses two Cd(II) binding sites per molecule.
4.6. Comparison to other models
A kinetic analysis of PC synthesis catalyzed by AtPCS1-FLAG
indicated a substituted-enzyme mechanism where GSH and Cd(II)-G
play roles as co-substrates, with the enzyme already in an active form
without Cd(II) binding [8]. Although supportive of a substituted-
enzyme mechanism, our results demonstrated that the enzyme
requires Cd(II) binding for activation.
2
According to the model proposed by Vatamaniuk et al., the enzyme
is active without bound Cd(II), as indicated by the much lower level of
estimated free Cd(II) compared to the dissociation constant of Cd(II)
to AtPCS1-FLAG [8]. In their study, equilibrium dialysis was performed
to estimate the dissociation constant of Cd(II) to AtPCS1-FLAG, which
demonstrated that the protein possessed seven Cd(II) binding sites
with a dissociation constant of 5.6 μM. The free Cd(II) level was
4
.5. Affinity constants of rAtPCS1 to Cd(II) ions
−
13
calculated to be 6.638×10
M in the reaction medium containing
It has been demonstrated unequivocally that rAtPCS1 possesses
two Cd(II) binding sites, although the affinity constants varied slightly
total Cd(II) and GSH at concentrations of 25 μM and 3.3 mM,
respectively, buffered at pH 8.0, using the computer program SOLCON.
However, determination of the dissociation constant was performed
by fitting a single hyperbolic curve as a function of Cd(II)
concentration, although the protein apparently had seven Cd(II)
binding sites [8]. In this context, this value represents an overall
average dissociation constant and one or more of the sites may exhibit
much lower dissociation constants. Peptide scanning analyses for
TaPCS1 and SpPCS indicated that Cd(II) can still bind these PCSs in the
presence of 1 mM GSH [9]. Furthermore, the stability constants
employed by Vatamaniuk et al. [8] were so high that the estimated
free Cd(II) level was three orders of magnitude less than those
calculated with the constants from other sources [17]. From the
conditional stability constants obtained in the current study, the free
Table 3
Estimation of the affinity constants of Cd(II) to rAtPCS1 determined by the enzyme
a)
activity as a function of the total GSH concentration using a two-site model.
max (μmol min−1
E1/109 (M−1
E2/109 (M−1
)
R2b)
Cd(II) Range of
V
K
)
K
−
1
(
μM) GSH (mM) mg
protein)
5
5
0
00
0–50
0–80
399± 62
472± 94
14.2± 4.6
4.55± 1.88
0.961± 0.442
0.924± 0.333
0.971
0.984
a)
b)
Figures represent estimated value± standard error.
represents the correlation coefficient between experimentally determined
R
activity and that estimated using the two-site model.