A R T I C L E S
Rye and Withers
the substrate at the transition state is large, and one might expect
a KIE much less than the maximal value, as was observed. In
addition, the chemical step in an enzymatic reaction may well
not be rate-limiting, or only partially so, as a result of
evolutionary pressure on the enzyme to accelerate chemical steps
until they are just slightly faster than the release of product.56,57
Small primary KIEs may also arise from a nonlinear arrange-
ment of the proton donor, proton, and the proton acceptor, in
the transition state for the transfer of the proton. Such an
occasion is conceivable if the catalytic base residue responsible
for the abstraction of the proton is the same residue responsible
for delivering a proton to the leaving group. This is postulated
to be the case with alginate lyase A1-III from Sphingomonas
species, an enzyme that degrades a poly-â-D-mannuronic acid
substrate. From the three-dimensional structure of the enzyme
complexed with a trisaccharide product, a tyrosine residue has
been implicated as both the catalytic base that abstracts the C5
proton and the general acid that protonates the leaving sugar
unit.16 Less than maximal primary deuterium KIEs have been
measured with other enzyme systems undergoing elimination
reactions. For enolase, the primary KIE for the abstraction of
the proton R to the carbonyl group is dependent on both the
pH and Mg2+ concentration and ranges from ∼1.2 to ∼3.3.58,59
The crotonase-catalyzed dehydration of 3-hydroxybutyrylpan-
tetheine shows a primary KIE of 1.6060 and that for o-
succinylbenzoate synthase has been measured to be 2.7.61 The
reaction catalyzed by UDP-N-acetylglucosamine 2-epimerase
also shows a small primary KIE of 1.8 for the C2 hydrogen.62
Although not an overall elimination process, there is strong
evidence for the elimination of the UDP moiety as part of the
proposed reaction mechanism. The primary KIE for an antibody-
catalyzed elimination of HF adjacent to a ketone has been
measured to be 2.35.63
Using 77 with a deuterium incorporated at C4, the secondary
deuterium KIE was measured to be 1.01 ( 0.03. A secondary
KIE value close to unity would be expected if the rate-limiting
step were solely the proton abstraction and formation of the
enolic intermediate since C4 does not acquire any sp2 character
during this step. On the other hand, a partially rate-limiting
departure of the leaving group where C4 takes on partial sp2
character at the transition state is expected to show a secondary
KIE greater than 1, with values of kH/kD ) 1.3-1.4 as maximal
values. The elimination of water by the non-carbohydrate-
degrading enzymes fumarase and crotonase has been shown to
involve the kinetically significant departure of the leaving group
and shows secondary deuterium kinetic isotope effects ranging
from 1.13 to 1.23, illuminating the significant sp2 character at
this center.60,64 The low value of the secondary deuterium KIE
measured for chondroitin AC lyase at pH 6.8 and 30 °C therefore
supports a stepwise mechanism in which the bond to the C4
leaving group is not broken in a rate-limiting step.
The primary and secondary deuterium KIEs, combined with
the flat linear free energy relationship, suggest that the rate-
limiting step is the abstraction of the C5 hydrogen and the
formation of the enolic intermediate. Once this intermediate is
formed, the C4 substituent is eliminated in a non-rate-limiting
step. Further evidence that is consistent with this proposal would
be the absence of deuterium exchange at the C5 position before
the elimination of the C4 substituent. Other enzymes, such as
enolase,58 show rapid exchange of the proton R to the carbonyl
group with solvent and are believed to use a stepwise mechanism
in which proton abstraction and leaving-group departure are both
partially rate-limiting. On the other hand, the crotonase-catalyzed
â-elimination,60 which is thought to be concerted, shows almost
no deuterium exchange () 3%). Figure 4 shows the partial 1H
NMR spectra of a monosaccharide substrate (16) and that of
the substrate and product mixture after partial conversion by
chondroitin AC lyase in D2O. If deuterium exchange at C5
occurred faster than the elimination of the 4-fluoro group, then
the integration of H5 in the starting material would decrease
relative to that of H1, H2, and H3. However, this is clearly not
the case, as shown by the integrations in Figure 4. This is
consistent with a mechanism that involves the rapid elimination
of the C4 substituent after a rate-limiting proton abstraction
((E1cb)irr). However, the absence of exchange does not constitute
proof that this process is not occurring since enzyme active sites
have long been proposed to be sequestered from bulk solvent,
and thus, the residues located there may not be accessible to
the D2O solvent as required for deuterium exchange. The use
of modified substrates also has its limitations in that it is not
absolutely required that the lyase-catalyzed elimination of the
polysaccharide substrate occur in the same manner as that
deduced with the synthetic substrates. However, these studies
do at least provide general mechanistic insights into turnover
of these artificial substrates by the enzyme. Further, it is
important to note that the mechanistic studies presented in this
paper would not be possible without the modified substrates.
Conclusions
The synthesis and kinetic evaluation of several simple
substrates for chondroitin AC lyase has allowed the determi-
nation of defined and reproducible kcat and Km values, previously
unattainable with the inhomogeneous and polymeric natural
substrates. Evidence has been gathered from linear free energy
relationships, primary and secondary deuterium KIEs, and
isotope exchange experiments in order to elucidate the catalytic
mechanism of this enzyme. The flat linear free energy relation-
ship produced using substrates with leaving groups of differing
reactivity combined with the low secondary deuterium KIE
strongly suggests that the breaking of the C4-leaving group bond
does not occur in a rate-limiting step, thus ruling out a concerted
mechanism. The primary deuterium KIE of 1.67 ( 0.07 shows
that the abstraction of the C5 proton occurs in a rate-limiting
step and that the transition state for this step is late on the
reaction coordinate, resembling the proposed enolic intermediate.
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9766 J. AM. CHEM. SOC. VOL. 124, NO. 33, 2002