BlOCHEMlCAL
Vd. 12, No. 4,1963
AND BlOPHYSICAl
RESEARCH COMMJNICAllONS
KINETIC EVIDENCE FOR AN ACYL-ENZYME INTERMEDIATE IN THJ3 a-CHYMOTRYPSIN-CATALYZEDHYDROLYSIS OF N-ACETYL-L-TRYPTOPHAN ETHYL ESTER* Myron L. Render++ and Gerald E. Clement*** Department
of Chemistry,
Northwestern
Evanston,
In a recent the methyl, L-tryptophan
and p-nitrophenyl
with
step process,
for
be hydrolyzed in rates.
plained
if
(ES')
rate
constant
1963).
This
in terms of a onereactions,
to which
would demand that
the three
at a hundred-fold This behavior
one postulates
intermediate
of N-acetylat pH 7.0 by
and Render,
nucleophilic
conforms,
ference
position
(Zerner
cannot be rationalized
chymotrypsin
laboratory,
esters
the same catalytic
(maximal velocity).
esters
from this
were shown to be hydrolyzed
a-chymotrypsin behavior
Illinois
communication
ethyl
University
or greater
can, however,
the formation
(equation
be ex-
of a common
1) whose subsequent
(k3) is rate-determining.
dif-
decom-
For these three
Whis research was supported by grants from the National Institute of Health. Paper XXIII in the series, the mechanism of action of proteolytic enzymes. **Alfred P. Sloan Foundation Research Fellow. ***National Institutes of Health Postdoctoral Research Fellow. 339
vol. 12, No. 4,1963
BIOCHEMICAL
substrates,
AND BIOPHYSICAL
tne common intermediate
RESEARCH COMMUNlCAllONS
is N-acetyl-L-trypto-
phanyl-a-chymotrypsin. E+S
&ES
---+ES'A> +
E+Ps
(1)
PI
tion
In a second communication,
a mechanistic
was presented
the pH-rate
the hydrolysis determining
showing that
of those substrates is a bell-shaped
k3 is rate-determining 1963).
If
pH-rate
profile
while
file
curve while
(Bender,
a bell-shaped
k3 shows a sigmoid pH-rate of N-acetyl-L-tryptopha
it would be expected
of
those in which
curve.
indeed k2 exhibits
in the hydrolysis
ester,
profile
in which kz is rate-
is a sigmoid
et al.,
correla-
proethyl
that the rate-determining
step which was shown to be k3 at pH 7 would change to kz at some high pH, for "leg"
of the bell
sigmoid etic lysis
curve.
constants
at some high pH the right-hand
must cross below the "flat" We have therefore
for
determined
of the the kin-
the a-chymotrypsin-catalyzed
of N-acetyl-L-tryptophan
ethyl
ester
hydroover a wide
range of pH from 2.5 to 11.6.* Equation and 3 (Gutfreund
1 has been shown to lead to equations and Sturtevant,
and sigmoid pH-rate lation
profiles
1956).
of acylation
The bell-shaped (k2) and deacy-
(k3) can be analyzed in terms of equations
5 respectively.
Using these equations
2
together
4 and with
*These experiments were possible since it was shown that a-chymotrypsin was stable over the entire pH range during the course of kinetic measurements. Denaturation studies were carried out by titration with N-cinnamoylimidazole. 340
the
Vol.
12, No. 4, 1963
BIOCHEMICAL
AND BIOPHYSICAL
r,((apPl
= Q/(ka
kcat
= k2k3/(k2
k2
= k2(lim)/(l
+ (H+)/Kl
k3
= k3(lim)/(l
+ (H+)/(K,~)
conclusions
+ $1
of the previous
trypsin-catalyzed
hydrolysis follow
(3)
a sigmoid
kcat will
decrease
(5) the follow-
curve to some high but above some pH,
(as k 2 becomes rate-determining);
and (2) Km(app) will
increase
(as the rate-determin-
ing step changes from k3 to ka), value
leading
eventually
which is the true K,.
iments shown in Fig.
The exper-
1 bear out these predictions.
1, the change in rate-determining
step
from k3 to kz may be seen both in curve B, kcat, changes from a sigmoid
curve to a bell-shaped
about pH 10, and in curve C, K,(app) about the same pH from its its high value. &a,t&,(app> it
(curve
Fig.
A) is a true from equations
which changes at value
systems is pH independent,
kcat&(app)
bell-shaped
curve as
2 and 3 this
The circles culated
quotient data on
the pH dependence of
= kp/Km is simply the pH dependence of
k2, a bell-shaped The solid
to
1 shows that
is equal to k2/Km; since Km from independent other
which
curve at
low pH-independent
Furthermore,
should be, for
(4)
of N-acetyl-L-tryptophan
k3 is rate-determining),
In Fig.
+ K;(/(H+))
(1) kcat of the a-chymo-
pH (while
to the limiting
(2)
communications,
can be made:
ester will
Km
+ kj)
ing predictions ethyl
RESEARCH COMMUNICATIONS
curves
curve. of Fig. of Fig.
in the following
be combined and rearranged
1 are experimental
1 are theoretical way. to 341
Equations
points.
curves cal2 and 3 can
Vd. 12, No. 4,1963
BIOCHEMICAL
5
6
7
AND BIOPHYSICAL
6
9
IO
II
RESEARCH COMMUNICATIONS
12
PH
Fig.
1.
The a-chymotrypsin-catalyzed N-acetyl-L-tryptophan ethyl in 0.81% acetonitrile-water: B, &at; 0, %(app).
l/Km(app) At pH values therefore,
= l/Km + (k,at/Km(app))(l/k3)
greater
than 8, k3 = kj(lim),
above pH 8 a plot
should be linear cept l/Km.
hydrolysis of ester at 25.00 A, kcat&(app);
with
of l/Km(app)
a constant; vs. k,.t/Km(app)
a slope of l/kj(lim)
The expected linearity
(6)
and an inter-
was observed
yield-
ing a Km of 4.1 x 10'3M for N-acetyl-L-tryptophan ester.
Knowing Km, one may calculate
kz(lim)
(corresponding
to the right
eqs. 2 and 4.
pK1 and pK,( can be calculated
from plots sults
leg of the bell)
and pKs from
of kcat]Km and kcat respectively.
of these calculations
The theoretical
curves
are shown in Table
of Fig.
the data of Table I, together tion
ethyl
of equations
2-5.
1 were calculated with
the proper
directly The reI. using combina-
It is seen that the agreement 342
Vol. 12, No. 4, 1963
BIOCHEMICAL
between experiment ting
that
AND BIOPHYSICAL
and theory
the bell-shaped
the acylation
is quite
RESEARCH COMMUNICATIONS
good, indica-
and sigmoid dependencies
(ka) and deacylation
(k3) reactions
for are
Table I The a-Chymotrypsin-catalyzed
Hydrolysis
tryptophan Step
of N-acetyl-E
Ethyl Estera
k(lim)
kcalcd. c @,C sec." sec.-'
pKa
sec.-' Acylation(ks)
1818
Deacylation(k3)
6.77,
46.5
9.21
1100
480
27
29
6.86
a. The kinetics were followed spectrophotometrically at 300 q measuring initial rates ((Eo)<((So)). The exact experimental techniques have been described by Bender et al. (1962). b. Calculated by Zerner and Bender (1963) by an independent experimental approach. c. pH 7.0. verified action
and further (equation
that
the stepwise
nature
of the re-
1) and the change in rate-determining
step of reaction
with pH are verified.
The agreement
between the rate
constants
and deacylation
determined
in the present
agreement with entirely
of acylation experiments
those calculated
different
kinetic
In the low pH region tional
sigmoid
previously
of 2.5 to 5.04,
I).
an addi-
dependence of kcat may be observed,
the kinetic
importance
apparent
pKa of 4.
The apparent
(280 times)
from an
argument (see Table
implying
corresponding
are in reasonable
to this
part
than the limiting
of a base with limiting
of the reaction rate
constant
rate
an constant
is much less at pH 7.9.
Vol.
12, No. 4,1963
BIOCHEMICAL
AND BIOPHYSICAL
RESEARCH COMMUNlCATlONS
A pH dependence of Km, corresponding
to this,
observed
1962; Stewart
previously
et al.,
1963).
interpretation snetic
(Bender,
A detailed
et al., report
and mechanistic
pH dependence will
has been
of the theoretical
implications
be the subject
of this of a future
publication. The data for
the a-chymotrypsin-catalyzed
sis of N-acetyl-L-tryptophan
ethyl
to conform to the predictions equation
1, involving
general action
the overall will
consist
as one extreme, and with
ester
are thus seen
of the two-step
an acyl-enzyme
hydrolymechanism,
intermediate.
In
pH dependence of a chymotrypsin of a family
of curves,
with
a sigmoid dependency at the other
re-
curve A extreme,
curve B as only one of number of intermediate
examples. EHENCES Bender, M. L., Clement, G. E., Kezdy F. J. and Zerner, B J. Am. Chem. Sot., &T, 357 (19633. BgAder, M. L., Schonbaum, G. R. and Zerner, B., J. Am. Chem. Sot., &, 2562 (1962). Clement, G. E. and Bender, M. L., Biochem., 2, 0000 Gutfreund H. and Sturtevant, J. M., Biochem. ?96&* 656 (1956): &WE& J. A., Le, H. S. and Dobson, J. E., J. Am. Chem. Sk., 82, 1537 (1963). Zerner, B. and Bender, M. L., J. Am. Chem. Sot., &, 356
(1963).
344