In enzymatic C-H activation by hydrogen tunneling, reduced barrier width is important for efficient hydrogen wave function overlap during catalysis. For native enzymes displaying nonadiabatic tunneling, the dominant reactive hydrogen donor-acceptor distance (DAD) is typically ca. 2.7 Å, considerably shorter than normal van der Waals distances. Without a ground state substrate-bound structure for the prototypical nonadiabatic tunneling system, soybean lipoxygenase (SLO), it has remained unclear whether the requisite close tunneling distance occurs through an unusual ground state active site arrangement or by thermally sampling conformational substates. Herein, we introduce Mn2+ as a spin-probe surrogate for the SLO Fe ion; X-ray diffraction shows Mn-SLO is structurally faithful to the native enzyme. 13C ENDOR then reveals the locations of 13C10 and reactive 13C11 of linoleic acid relative to the metal; 1H ENDOR and molecular dynamics simulations of the fully solvated SLO model using ENDOR-derived restraints give additional metrical information. The resulting three-dimensional representation of the SLO active site ground state contains a reactive (a) conformer with hydrogen DAD of ∼3.1 Å, approximately van der Waals contact, plus an inactive (b) conformer with even longer DAD, establishing that stochastic conformational sampling is required to achieve reactive tunneling geometries. Tunneling-impaired SLO variants show increased DADs and variations in substrate positioning and rigidity, confirming previous kinetic and theoretical predictions of such behavior. Overall, this investigation highlights the (i) predictive power of nonadiabatic quantum treatments of proton-coupled electron transfer in SLO and (ii) sensitivity of ENDOR probes to test, detect, and corroborate kinetically predicted trends in active site reactivity and to reveal unexpected features of active site architecture.
In enzymatic C-H activation by hydrogen tunneling, reduced barrier width is important for efficient hydrogen wave function overlap during catalysis. For native enzymes displaying nonadiabatic tunneling, the dominant reactive hydrogendonor-acceptor distance (DAD) is typically ca. 2.7 Å, considerably shorter than normal van der Waals distances. Without a ground state substrate-bound structure for the prototypical nonadiabatic tunneling system, soybean lipoxygenase (SLO), it has remained unclear whether the requisite close tunneling distance occurs through an unusual ground state active site arrangement or by thermally sampling conformational substates. Herein, we introduce Mn2+ as a spin-probe surrogate for the SLOFe ion; X-ray diffraction shows Mn-SLO is structurally faithful to the native enzyme. 13C ENDOR then reveals the locations of 13C10 and reactive 13C11 of linoleic acid relative to the metal; 1H ENDOR and molecular dynamics simulations of the fully solvated SLO model using ENDOR-derived restraints give additional metrical information. The resulting three-dimensional representation of the SLO active site ground state contains a reactive (a) conformer with hydrogenDAD of ∼3.1 Å, approximately van der Waals contact, plus an inactive (b) conformer with even longer DAD, establishing that stochastic conformational sampling is required to achieve reactive tunneling geometries. Tunneling-impaired SLO variants show increased DADs and variations in substrate positioning and rigidity, confirming previous kinetic and theoretical predictions of such behavior. Overall, this investigation highlights the (i) predictive power of nonadiabatic quantum treatments of proton-coupled electron transfer in SLO and (ii) sensitivity of ENDOR probes to test, detect, and corroborate kinetically predicted trends in active site reactivity and to reveal unexpected features of active site architecture.
Among the many remarkable
properties of naturally occurring enzymes
is their ability to achieve enormous accelerations of chemical reactions,
upward of 1026-fold,[1] over their
solution counterparts. Because these enhanced rates occur under “green”
conditions (i.e., atmospheric pressure, room temperature, and aqueous
solutions), the computational design (de novo) and re-engineering
of enzymes to perform biologically inaccessible chemical transformations
has emerged as an active area of biochemical and bioengineering research
with immediate industrial and pharmaceutical implications.[2−4] While electrostatics are expected to contribute significantly to
the rate of enzymatic reactions,[5,6] the inability to match
nature’s rate enhancements in computational (rational) design
practices (even with assistance from directed evolution)[7−9] underscores the current ineffectiveness in the application of mainstream
concepts to our full understanding of the origins of enzyme catalysis.Enzymatic C–H activation has played a central role in the
emerging idea that active sites must undergo transient compaction
(or compression) for efficient catalysis.[10−13] This concept has been further
recognized in methyl (group) transfer, suggesting a broader generality
for active site compaction in enzyme catalysis.[14,15] The hydrogen transfer mechanism of C–H activation is most
generally described by a quantum tunneling model,[16] in which both protium and its heavier isotopes penetrate
a barrier along the transferring nuclear coordinate. In such instances,
the corresponding nuclear transfer distance will approximate the de
Broglie wavelength for the respective isotope (ca. 0.7 Å for
proton and 0.5 Å for deuterium), introducing the requirement
for protein motions that can bring the H-donor and acceptor within
an effective tunneling distance of ca. 2.7 Å in native enzymes.[17]Native soybean lipoxygenase-1 (SLO) has
presented some of the most
compelling kinetic evidence for the quantum tunneling model, from
observations of a greatly inflated, nearly temperature independent
kinetic isotope effect on a single, rate-determining step (Scheme ) near room temperature.[18] These kinetic properties of SLO have been successfully
reproduced using nonadiabatic models in which the isotope dependence
of the rate constant is strongly influenced by the equilibrium proton
donor–acceptor distance and motions, which in turn may be affected
by the protein structure and thermal motions.[19−22] Although many atomic resolution
X-ray crystal structures have been reported for SLO (for examples,
see refs (23−25)), efforts over several decades
to solve the structure of an enzyme–substrate (ES) complex
(with either the natural substrate linoleic acid (LA) or a substrate
analogue) have been unsuccessful. This may be the consequence of a
restricted substrate access portal and binding site as seen in crystal
forms of SLO.[26] We note that a crystal
structure of the enzyme–product of the L-3 isoenzyme of soybean
lipoxygenase has been reported,[27] but the
orientation of the substrate and product within the active site may
be different.[28] While this enzyme–product
structure can provide insights into the mode of fatty acid binding,
our understanding of catalytic C–H cleavage remains hindered
by the lack of structural information regarding the dominant ES complex.
Scheme 1
SLO Catalyzes the Transfer of a Hydrogen Atom from Donor Carbon 11
(C11) of LA to a Mononuclear, Non-Heme Ferric Hydroxide Reactive Center
Hydrogen abstraction from
the pro-S position on C11 is mediated by a proton-coupled
electron transfer reaction (PCET),[48,75] in which the
metal-bound hydroxide accepts the proton and iron accepts the electron.
The putative positioning of residues discussed in the text (I553,
L546, and L754) is shown for reference.
SLO Catalyzes the Transfer of a Hydrogen Atom from Donor Carbon 11
(C11) of LA to a Mononuclear, Non-Heme Ferric Hydroxide Reactive Center
Hydrogen abstraction from
the pro-S position on C11 is mediated by a proton-coupled
electron transfer reaction (PCET),[48,75] in which the
metal-bound hydroxide accepts the proton and iron accepts the electron.
The putative positioning of residues discussed in the text (I553,
L546, and L754) is shown for reference.To
overcome the inability to crystallize the substrate complexes
of SLO, we have instead exploited high-precision electron–nuclear
double resonance (ENDOR) spectroscopy, which has become a central
tool for determining the coordination environment of biological metal
centers, in particular the active sites of enzyme intermediates.[29,30] ENDOR (and related ESEEM/HYSCORE) spectroscopies provide NMR spectra
of nuclei that interact with the electron spin of a paramagnetic center
through the electron–nuclear hyperfine interaction. Although
ENDOR is most commonly used to characterize the coordination sphere
of biological metal ions by interrogating nuclei involved in covalent
through-bond interactions with the paramagnetic center, this technique
can also give high-precision structural information for atoms in the
active site that are in close proximity to the metal ion but not covalently
linked to it. Such nuclei exhibit a nonlocal, through-space dipolar
coupling to the electron spin, the dipolar interaction matrix, T, whose characterization yields the coordinates of those
atoms relative to the metal site, thus directly providing metrical
information about the active site architecture.[31,32]The obvious application of this approach to a non-hemeFe
enzyme
like SLO is to use the Fe(NO) S = 3/2 state as a
spin probe that is amenable to ENDOR measurements giving the distance
between the Fe(NO) and substrate.[31,33] Unfortunately,
this is inapplicable for the SLO enzyme–substrate complex.
An earlier EPR examination of SLO showed that the substrate LA and
NO compete for active site occupancy,[34] and when LA and NO were added to SLO, there was no detectable Fe(NO)
signal. We therefore turned to the S = 5/2 Mn2+ ion as a spin-probe surrogate for the iron cofactor of SLO
to determine the distances and orientations of key 13C
atoms on LA relative to the metal site in SLO, having first shown
by X-ray diffraction that Mn-SLO is structurally faithful to the native
enzyme. Although there have been numerous advanced paramagnetic resonance
studies of ligands coordinated to a Mn2+ ion,[35−41] to our knowledge this is the first application of Mn2+ ion as a spin-probe for determining the location of a nearby, noncoordinated
substrate. As described, the characteristics of this high-spin Mn2+ ion make it extraordinarily advantageous in this role, although
its use required the development of a new approach to the analysis
of frozen-solution ENDOR spectra.35 GHz pulsed ENDOR measurements
yield the distances and orientations
of 13C10 and the reactive 13C11 of LA relative
to the metal site, while 1H ENDOR of the metal-bound water
ligand, in conjunction with molecular dynamics (MD) simulations using
the experimental ENDOR-derived distances as restraints, yields their
orientations. The resulting three-dimensional representation of the
SLO active site equilibrium ground state contains a reactive enzyme
conformer in which the elusive donor–acceptor distance (DAD)
between C11 of LA and the metal-bound water is too long to permit
efficient tunneling of hydrogen from donor to acceptor in the wild-type
(WT) enzyme, as well as an inactive conformer where the DAD is even
longer. This result provides compelling support that a key catalytic
role of heavy atom thermal motions of the protein–ligand complex
is to access configurations that allow effective hydrogenic wave function
overlap during the course of C–H bond cleavage.In addition,
we present an ENDOR-based characterization of the
ES structures of two previously studied active site mutants of SLO,
the I553G variant and the L546A/L754A double mutant (DM); Figure A visualizes the
positions of the mutated residues relative to the metal ion in the
crystal structure of the substrate-free enzyme. Literature interpretations
of extensive kinetic and theoretical studies have predicted a longer
DAD in both of these SLO variants.[21,22,25,42] The current results
show a clear elongation of the ground state equilibrium DAD (Req), validating the previous interpretations
and highlighting the sensitivity of our ENDOR approach for detecting
small changes to the heavy atom DAD. This report thus both provides
a foundation for and confirmation of the theoretical analyses of the
enzymatic C–H bond cleavage and introduces an important and
timely physical methodology that has been hitherto lacking in the
field.[10]
Figure 1
Active site of native Fe-SLO (1.4 Å;
PDB: 3PZW) showing
residues
subject to mutation in this study (pink) (A) and structural comparison
of first and second coordination spheres in crystal structures of
native Fe-SLO and Mn-SLO (1.14 Å; PDB: 4WFO) (B). The structural
overlay represents Mn-SLO (side chain carbons, green sticks; cofactor
Mn–O(H2) atoms, purple and dark gray spheres) and
Fe-SLO (side chain carbons, gray sticks; cofactor Fe–O(H2) atoms, orange and cyan spheres). Represented side chain
oxygen and nitrogen atoms are colored red and blue, respectively.
The explicitly shown side chains are labeled; the asterisk for I839
represents the terminal carboxyl group that ligates the metal cluster.
A putative H-bond network[24,45] is designated by dashed
lines. A comparative list of all metal–ligand distances is
presented in Table S2.
Active site of native Fe-SLO (1.4 Å;
PDB: 3PZW) showing
residues
subject to mutation in this study (pink) (A) and structural comparison
of first and second coordination spheres in crystal structures of
native Fe-SLO and Mn-SLO (1.14 Å; PDB: 4WFO) (B). The structural
overlay represents Mn-SLO (side chain carbons, green sticks; cofactor
Mn–O(H2) atoms, purple and dark gray spheres) and
Fe-SLO (side chain carbons, gray sticks; cofactor Fe–O(H2) atoms, orange and cyan spheres). Represented side chain
oxygen and nitrogen atoms are colored red and blue, respectively.
The explicitly shown side chains are labeled; the asterisk for I839
represents the terminal carboxyl group that ligates the metal cluster.
A putative H-bond network[24,45] is designated by dashed
lines. A comparative list of all metal–ligand distances is
presented in Table S2.
Results
Kinetic and Structural Characterization of Mn-SLO
ENDOR
studies on “rhombic” high-spin Fe(III) (S = 5/2) are unproductive because of rapid electron-spin relaxation.
The resting ferrous form (integer spin, S = 2) of
SLO is EPR silent,[34] and, as noted above,
the traditional use of the Fe(NO) S = 3/2 system[31] as a spin probe also was unsuccessful. In agreement
with earlier work,[34] when LA and NO were
added to SLO, there was no detectable Fe(NO) signal. We thus turned
to the S = 5/2 Mn2+ ion as a spin-probe
substitute for Fe. The structural similarity observed between lipoxygenases
with M2+ and M3+ at the active center (see refs (43−45) and references within) suggested that Mn-SLO would
be a suitable structural surrogate. Moreover, although all characterized
animal, plant, and prokaryotic lipoxygenases utilize iron as their
active site cofactor, an emerging group of fungal lipoxygenases have
been found to harbor a reactive manganese ion (designated henceforth
as MnLOX).[46]We present a biosynthetic
approach to substitute the iron center in SLO for manganese (notated
as Mn-SLO; see Materials and Methods for details).
As isolated, WT Mn-SLO protein contains 0.9 ± 0.1 Mn and 0.03
± 0.02 Fe per monomer. While fungal MnLOX enzymes have first-order
rate constants (i.e., kcat) of ∼10%
relative to WT SLO (Table S1), the manganese
form of SLO exhibits only 2–3% activity compared to that of
Fe-SLO, which correlates with the amount of residual iron in our sample
preparations. These data are consistent with the expectation that
manganese-substituted iron lipoxygenases would be inactive.[47]An X-ray structural analysis of Mn-SLO
was performed, yielding
a high-resolution structure (1.14 Å) (PDB: 4WFO), which is the first
reported model of a manganese-substituted iron lipoxygenase. The global
structure is practically superimposable (RMSD ∼ 0.3 Å)
on the 1.4 Å model of WT Fe-SLO (PDB: 3PZW). The first sphere iron coordination
sites of Mn-SLO and Fe-SLO are very similar (RMSD = 0.17 Å with
regard to both metal and ligands; Figure B), with the notable exception of the shortening
of the bond to the axial Asn694, from 2.9 Å in native SLO to
2.3 Å in Mn-SLO (Table S2); this translates
to a change from five- to six-coordinate iron, which remains consistent
with a hydrogen-bonding network that includes residues Q697 and Q495.[23,43] All other metal–ligand distances within the Mn-SLO coordination
site are nearly identical to those for Fe-SLO (Table S2). The coordination number for the iron center in
native SLO has been studied extensively and found to vary from five-coordinate
in X-ray studies, where the iron center is likely to have undergone
reduction by the X-ray beam, to a 40:60 mixture of a five-coordinate
(5C) and six-coordinate (6C) site for the Fe2+ state of
the enzyme in solution.[43] Early DFT calculations
were unable to reproduce a 5C ligation unless a protein structural
constraint was imposed.[48] More recent QM/MM
calculations identify two local minima,[45,49] one with a
5C and another with a 6C Fe center, consistent with the experimental
observations of a 40:60 mixture, respectively, in solution for WT
Fe2+-SLO. The most recent computational study shows that
the hydrogen-bonding network composed of residues Q697 and Q495, as
well as N694, is maintained in both the 5C and 6C structures.[45] Overall, the X-ray structure of Mn-SLO and its
comparison to WT SLO makes it clear that Mn substitution provides
a faithful structural analogue to native SLO.
EPR Spectra of Mn-SLO
EPR
of WT Mn-SLO
The absorption-display EPR spectra
collected from natural-abundance LA complexes of Mn-SLO by continuous-wave
(CW) “rapid passage” methods at 2 K or by the echo-detected
EPR technique (Figure A and S1A) are characteristic of an S = 5/2 ion with small zero-field splitting (ZFS), with
the principal ZFS parameter, D, much less than the
microwave quantum (hν).[50] Such spectra show a central 55Mn (I = 5/2) sextet arising from hyperfine interactions, A ∼ 91 G, that is associated with transitions between the ms = +1/2 and −1/2 electron-spin substates.
These features “ride on” and are flanked by significantly
broader signals from the four “satellite” transitions
involving the other electron-spin substates (ms ±5/2 ⇔ ±3/2; ±3/2 ⇔ ±1/2).
The net absorption spectrum is the sum of the five envelopes of these
five transitions among substates, each of which has a well-defined
shape and is spread over a range of fields that is defined by the ms values for the envelope and the magnitudes
of the ZFS parameters; the contribution of each envelope is weighted
by the thermal population of the contributing ms levels.[51] The overall breadth
of the pattern is proportional to the magnitude of D, which in turn increases with deviations of the coordination sphere
of the Mn2+ ion from spherical symmetry; details of the
shape of the pattern are determined by the rhombicity parameter, 0
≤ λ ≤ 1/3, whose value increases with deviations
from axial symmetry around the principal ZFS axis (λ = 0).[52] The 2 K EPR spectra (Figure B and S1A) of
WT Mn-SLO with LA substrate are only slightly broader than that of
the simple aquo-Mn2+ ion, indicating that the ZFS parameter
for Mn-SLO is only slightly larger. Table compiles the parameters [D, λ] obtained by simulations of the Mn-SLO samples studied
here.
Figure 2
(A) 35 GHz CW rapid-passage EPR spectrum (red) and simulation (purple)
for Mn-SLO WT with LA at 2 K. Conditions: microwave frequency ∼
34.98 GHz, microwave power = 1 mW, 100 kHz field modulation amplitude
= 0.7 G, and T = 2 K. Simulation parameters are listed
in Table . (B) Comparison
of 35 GHz CW rapid-passage EPR spectra for Mn-SLO with LA (WT; red,
I553G; blue, DM; black) and [Mn2+(H2O)6] (green). Conditions: same as those in A. Simulations for mutants
are in Figure S2; ZFS parameters are in Table .
Table 1
ZFS Parameters of Mn2+ in
Mn-SLOa
D (MHz)
λ
f
WT
+1320
0.17
0.32
I553G
+1420
0.16
0.32
DM
+1250
0.20
0.36
MnLOXb
+2100 to +3000
0.13–0.23
N.R.
D is the axial
ZFS parameter, λ is the rhombicity (E/D), and f represents the breadth of Gaussian
distributions in D and E employed
in the simulations, each with a width that is the fraction f times the parameter (see the Supporting Information).
Native
manganese lipoxygenase from
fungus; values are reported from ref (53); N.R. = not reported.
(A) 35 GHz CW rapid-passage EPR spectrum (red) and simulation (purple)
for Mn-SLO WT with LA at 2 K. Conditions: microwave frequency ∼
34.98 GHz, microwave power = 1 mW, 100 kHz field modulation amplitude
= 0.7 G, and T = 2 K. Simulation parameters are listed
in Table . (B) Comparison
of 35 GHz CW rapid-passage EPR spectra for Mn-SLO with LA (WT; red,
I553G; blue, DM; black) and [Mn2+(H2O)6] (green). Conditions: same as those in A. Simulations for mutants
are in Figure S2; ZFS parameters are in Table .D is the axial
ZFS parameter, λ is the rhombicity (E/D), and f represents the breadth of Gaussian
distributions in D and E employed
in the simulations, each with a width that is the fraction f times the parameter (see the Supporting Information).Native
manganese lipoxygenase from
fungus; values are reported from ref (53); N.R. = not reported.In describing the ENDOR measurements, it is important
to note that
conventional derivative-display spectra miss 80% of the full Mn2+ spectrum. They typically show only the classic 55Mn hyperfine-split sextet associated with the |ms| = 1/2 sublevels (Figure S1B) and are equivalent to that of an S = 1/2 center
with isotropic g-tensor and hyperfine splitting.
The signals from the other four satellite transitions, which generate
the “wings” of the absorption-display spectra of Figures and S1A, are, at most, only barely detectable.Interestingly, comparison of EPR spectra of Mn-SLO with the Mn2+ ion site of the native manganese lipoxygenase, MnLOX,[53] suggests that the active site of the latter
is not identical to that of Mn-SLO, as the axial ZFS parameter of
MnLOX, although still small, is distinctly greater (D ∼ +2100 to +3000 MHz) (Table ). The larger ZFS for MnLOX is consistent with a greater
asymmetry of its metal coordination and larger metal B-factors relative
to Mn-SLO, consistent with cryogenic X-ray crystal structures.[54]
EPR of I553G and DM Mn-SLO
The site
of mutation corresponding
to I553G is remote from the metal ion (Figure A), and as might be anticipated, this variant
does not perturb the coordination sphere of the Mn2+ ion:
the variant EPR spectrum (D = +1420 MHz, λ
= 0.16) is essentially the same as that of the WT enzyme (D = +1320 MHz) (Figures B, S1, and S2 and Table ). The L754A mutation
of the L546A, L754A mutation pair in the DMMn-SLO variant is closer
to the metal ion (Figure A), but in complex with LA this variant’s EPR spectrum
likewise is essentially equivalent (D = +1250 MHz,
λ = 0.20) to that of the WT enzyme complex (Figures B, S1, and S2 and Table ). The 35 GHz Davies pulsed ENDOR spectra from 1H of bound
H2O and 14N of bound histidines collected for
the WT and mutant enzymes (Figure S3) confirm
that the residue changes indeed have negligible influence on the coordination
sphere of the Mn2+ ion itself.
ENDOR of a
Mn2+ (S = 5/2) Center
For a single
molecular orientation of a paramagnetic center of
spin , the first-order ENDOR spectrum
for an I = 1/2 nucleus (13C, 1H) obtained by monitoring an EPR transition between adjacent substates, ms ⇔ ms +1
comprises a signal from each of the substates. For this study, the
two frequencies are conveniently written as offsets (δνms) from the nuclear Larmor frequency, νNwhere A is the orientation-dependent
electron–nuclear hyperfine coupling interaction.
Hyperfine
Interactions and S = 5/2
The hyperfine interaction
between the Mn2+ ion of SLO
and the 13C of LA as observed here is overwhelmingly dominated
by the coupling that arises from the through-space electron–nuclear
dipolar interaction. We have shown previously that precise locations
of active site, but noncoordinated, nuclei can be determined by ENDOR
measurements of the axial dipolar interaction matrix, T (eq ).[31] Although the Mn2+ spin is partially
delocalized over its ligands, in the Supporting Information we show that, at the Mn–13C distances
being interrogated here, the three principal components of this interaction
matrix in its principal axis coordinate frame can be written as a
point dipole interaction with spin on Mn2+ alone, characterized
by the 13C dipolar parameter, Twhere r (Å) is the Mn–13C distance, and
the large positive principal value (2T) lies
along the Mn–13C vector. As described in the Supporting Information, an appropriately chosen
value for an effective spin density on the metal ion, ρeff, makes this point-dipole formulation of eq precisely equal to the sum over
the dipolar interactions between 13C and the spin density
as distributed over the Mn2+ ion and its ligands. This
conclusion is based on a combination of DFT computations of the spin
distribution in the SLOMn2+ coordination sphere with model
dipolar-interaction calculations that incorporate the spin distribution.
The analysis indicates that interpretation of the observed couplings
with eq yields the
correct Mn–13C distances when ρeff is essentially unity (ρeff = 0.994). We emphasize
that in the Supporting Information we present
a detailed analysis of the uncertainties in the distances determined
from the ENDOR determinations of T; this analysis confirms conclusions
based on distances so obtained and reported below.In addition
to the dipolar interaction, even at such great Mn–13C distances we observe so-called Pauli delocalization through polarization
of closed shells.[55] This induces a tiny
spin density at carbon (∼10–5–10–6 of an electron spin), thereby generating a small
isotropic 13Chyperfine coupling, denoted aiso.[56] As a result the measured
hyperfine interaction is a matrix, , that is a sum of the two interactionsA key benefit
of using ENDOR to measure distances from nearby nuclei
to an S = 5/2 Mn2+ ion like that in SLO,
which is in the regime where D ≪ hν (microwave energy), is that for a given orientation of the
external field relative to the molecular frame the effective hyperfine
offset from νN for each |ms| is given by the intrinsic value of the coupling, A, multiplied by |ms|, eq . Thus, whereas the ENDOR offsets
in the response for the |ms| = 1/2 sublevels
are the same as would be seen for an S = 1/2 center,
the offsets for the |ms| = 3/2, 5/2 doublets
are 3 and 5 times greater, respectively. This multiplicative effect
for the hyperfine frequencies of nuclei coupled to an S = 5/2 Mn2+ ion sharply extends the “horizon”
to which an ENDOR measurement can characterize the dipolar interaction
component and, through this, calculate the distance to a substrate
nucleus and the orientation of the Mn-nuclear vector. Consider a Mn2+ ion center whose ENDOR spectra can resolve a dipolar hyperfine
interaction, A = T (eq ), down to a minimum resolvable offset, δνmin (eq ). According
to eq , in this case
the horizon for measuring a Mn–13C distance, denoted rmax, expands with |ms|, eq (δνmin, MHz; rmax, Å). Thus, for an S = 5/2 ion, the farthest horizon is associated with the
|ms| = 5/2 sublevels, and the distance
from Mn to the horizon is nearly double that provided by an S = 1/2 center (only |ms| =
1/2 sublevels)In fact,
as will be seen, the resulting horizon
for a 13C in SLO is no less than ∼6 Å.
Orientation
Selection and Determination of
For analysis of the ENDOR spectra of this study,
it is important to understand in some detail the low-temperature,
frozen-solution (“powder”) EPR spectra of a randomly
oriented S = 5/2 center, in particular the implications
for ENDOR measurements made at fields across the entire EPR envelope. Figure , top, shows idealized absorption EPR simulations for an S = 5/2 system with small ZFS (D = +1250
MHz, λ = 0.2) at room temperature, omitting the 55Mn (I = 5/2) hyperfine splitting. As noted above,
the spectrum is the sum of intensities associated with five sets of
transitions: those between the ms = ±1/2
substates, plus the four “satellite” transitions: ±5/2
⇔ ±3/2; ±3/2 ⇔ ±1/2. In reality, each
orientation of the Mn2+ center exhibits hyperfine splitting
by the essentially isotropic hyperfine coupling to 55Mn
(I = 5/2), A ∼ 91 G, and
as illustrated in Figure , middle, this generates the hyperfine pattern seen for the ms = ±1/2 envelope and broadens the other
envelopes by ∼450 G.
Figure 3
Idealized EPR absorption spectra. The absorption
EPR simulations
with no EPR line width for the high-spin S = 5/2
system with small zero-field splitting at 300 K (top), 300 K with 55Mn hyperfine (middle), and 2 K with 55Mn hyperfine
(bottom). Simulated ZFS parameters are D = +1250
MHz and λ = 0.2. Individual transitions are differentiated by
colored lines, as indicated. The sum of individual simulations is
shown as a black dotted line, and its intensity is multiplied by (1/2).
The principal axes of ZFS are also indicated.
Idealized EPR absorption spectra. The absorption
EPR simulations
with no EPR line width for the high-spin S = 5/2
system with small zero-field splitting at 300 K (top), 300 K with 55Mn hyperfine (middle), and 2 K with 55Mn hyperfine
(bottom). Simulated ZFS parameters are D = +1250
MHz and λ = 0.2. Individual transitions are differentiated by
colored lines, as indicated. The sum of individual simulations is
shown as a black dotted line, and its intensity is multiplied by (1/2).
The principal axes of ZFS are also indicated.At each value of the external magnetic field, the EPR intensity
for a ms ⇔ ms −1 satellite EPR envelope corresponds to a well-defined
subset of orientations of the field relative to the ZFS tensor axes.
As shown in Figure , top, the extremes of the signal for each such envelope are associated
with orientations where the external field lies along the principal
axes with the smallest (y) and largest (z) ZFS splittings; the features of maximum intensity are associated
with orientations that exhibit the intermediate ZFS principal value, x. A 2D field-frequency pattern of the resulting orientation-selective
ENDOR spectra collected at fields across any one of these envelopes
in principle could be analyzed to yield a hyperfine tensor, in precise
analogy to the protocol we devised for ENDOR analysis of 2D field-frequency
patterns of ENDOR responses collected across the EPR envelope of an S = 1/2 center.[57−59]Unfortunately, as shown
in Figure , top and
middle, at “high” temperatures, T ≫ D/k, both edges
of the summed EPR envelope for this S = 5/2 center
are equivalent single-crystal-like fields that are associated only
with the field along the (z) axis of ZFS tensor,
while the intensity of the EPR spectrum of this S = 5/2 center at any arbitrary field value is the sum of the contributions
from as many as all four of the satellite envelopes (which exhibit
orientation-selective ENDOR spectra) plus the central envelope (which
yields a “powder” ENDOR spectrum, the sum of responses
from all orientations). The resulting ENDOR spectrum collected from
such a summed EPR spectrum represents too many distinct orientation-selective
responses to be analyzable; furthermore, even for samples prepared
with singly 13C-labeled LA, there can be responses from
multiple conformations of the substrate (see sections below). The
result is that the 2D ENDOR pattern for such a high-temperature S = 5/2 spin system in general defies orientation-selective
analysis.However, the higher-lying ms levels
are thermally depopulated at 2 K, and as seen in Figure , bottom, this greatly simplifies
the EPR spectrum and thus orientation-selective ENDOR spectra. This
feature restores our ability to analyze orientation selectivity in
the ENDOR responses, enabling determination of hyperfine coupling
tensors. Although, as shown in Figure , bottom, the center of the 2 K EPR spectrum is dominated
by the ms = ±1/2 envelope with its
“powder” ENDOR spectrum, the thermal depopulation leaves
the extreme “wings” of the low-temperature spectrum
as “single-crystal-like” EPR responses from the ms= −5/2 ⇔ −3/2
envelope alone: when the external field is set to the low-field edge,
it selects orientations where the field is along the ZFS y-axis; when it is set to the high-field edge, the field is along
the ZFS z-axis. Thus, these edges give simple “single-crystal-like”
ENDOR responses associated with the y and z ZFS orientations. Away from the edges of the 2 K EPR signal,
the ms = −5/2 ⇔ −3/2
envelope still dominates the spectrum, although there is in addition
a distinguishable contribution from ms = −3/2 ⇔ −1/2; the ms = +1/2 ⇔ +3/2 envelope contributes only minimally, and the ms = +3/2 ⇔ +5/2 envelope is completely
suppressed.This simplification of the EPR and ENDOR spectra
through thermal
depopulation of electron spin substates enables determination of the
hyperfine tensor of a 13C label in LA, , through a “multipass”, 2D data-collection/analysis
protocol that involves iterative combination of single-crystal-like
ENDOR spectra and 2D field-frequency patterns of 13C ENDOR
spectra taken across the EPR envelope of the Mn2+ ion and
enables precise determination of hyperfine tensors. To begin the analysis,
we examine the behavior of the high- and low-frequency edges of the
ENDOR spectra as the field of observation traverses the EPR envelope,
to obtain approximate values for the maximum and minimum hyperfine
shifts. Next, as illustrated in Figure S4, inspection of the single-crystal-like ENDOR spectra collected at
the high and low-field edges of the EPR spectrum, plus a spectrum
collected at g ∼ 2, gives a preliminary value
for T and also a rough indication of the orientation
of the Mn–13C/1H vectors relative to
the ZFS axes, identifying a nearest “canonical” orientation
as schematized in Figure . Finally, a full 2D pattern, as exemplified by the patterns
for 13C10 and 13C11 of LA bound to WT-SLO, Figure , and mutants, S5 and S6, is then simulated, in a process that
starts with parameters derived from the preliminary rough analyses,
to yield the full hyperfine tensor, giving both accurate values for
any isotropic term and for the axial dipolar contribution, T, eq , plus a precise
orientation of T relative to the ZFS tensor axes. The
unique direction of T (eq ) corresponds to the direction of the Mn–13C vector relative to the ZFS axes, as shown for 13C10 of LA in WT enzyme in Figure .
Figure 4
The three “canonical” orientations of the
Mn–13C vector relative to the ZFS x, y, and z axes, along with the
orientation
determined experimentally (13C10(WT)), with the vector
in the x–z plane, rotated
by an angle, θ = 50° away from z.
Figure 5
35 GHz 2D field-frequency pattern 13C Mims ENDOR for
Mn-SLO WT with 13C10-LA (A) and 13C11-LA (B)
and simulation (purple) at 2 K. Conditions: microwave frequency ∼
34.8 GHz, MW pulse length (π/2) = 30 ns, τ = 500 ns, repetition
rate =100 Hz, and temperature of 2 K. Simulation parameters are listed
in Table .
The three “canonical” orientations of the
Mn–13C vector relative to the ZFS x, y, and z axes, along with the
orientation
determined experimentally (13C10(WT)), with the vector
in the x–z plane, rotated
by an angle, θ = 50° away from z.35 GHz 2D field-frequency pattern 13C Mims ENDOR for
Mn-SLO WT with 13C10-LA (A) and 13C11-LA (B)
and simulation (purple) at 2 K. Conditions: microwave frequency ∼
34.8 GHz, MW pulse length (π/2) = 30 ns, τ = 500 ns, repetition
rate =100 Hz, and temperature of 2 K. Simulation parameters are listed
in Table .
Table 2
Hyperfine
Parameters for 13C Labeled LA
r (Å)a
Tobsa (MHz)
ϕ, θ (deg)b
LWc (kHz)
δr (Å)d
occupancy (%)e
WT
13C10
a
4.84
0.175
0, 50
60
80
b
5.21
0.141
40
20
13C11
a
4.89
0.170
0, 40
70
50
b
5.65
0.110f
20, 60
60
50
DM
13C10
a
4.80
0.180
0, 45
60
∼0
80
b
5.18
0.143
50
±0.06
20
13C11
b
5.80
0.102f
20, 60
60
∼0
100
I553G
13C10
a
4.84
0.175
20, 45
85
±0.12
60
b
5.23
0.139
65
±0.16
40
13C11
b
5.57
0.115f
40,
50
65
±0.04
100
WT
1Hag
∼2.7
∼4.0
0, 70
100
1Hb
∼2.9
∼3.2
ndh
100
Precision of T(r) = ±4 kHz;
values of r calculated
assuming ρeff = 0.994. As described in the Supporting Information, the precision in Mn–C
distances based on measurement uncertainties yields a total uncertainty
of δr/r ∼ ±0.02,
corresponding to δr ∼ ±0.1 Å
for r ∼ 4.8 Å. aiso = 0.01 MHz, except as noted.
Error of angles = ±10°
and ±5° for ϕ and θ, respectively.
Precision of ENDOR LW = ±5
kHz.
Increased distribution
in Mn–C
distance relative to that in WT enzyme; the changes in line width
in mutant enzyme are interpreted as changes in the distribution in
distances as discussed in the Supporting Information.
The occupancy of the
(a) and (b) conformers is estimated
by a summation
of the simulation to fit the experimental spectrum at 11 000
G. Error of occupancies = ± 5%.
aiso = 0.
Well-defined aqua proton.
Not determined: The angles have
the range of (∼0, 40) to (∼0, 60).
ENDOR of WT Mn-SLO
13C ENDOR of
LA Substrate
We collected 2
K 2D patterns of 13C ENDOR spectra taken across the EPR
envelope of the Mn2+ ion of WT Mn-SLO with 13C10- and 13C11-LA noncovalently bound in the enzyme active
site, Figure . The
optimized simulations of these patterns shown in Figure yield the hyperfine tensors
for the 13C10- and 13C11-LA complexes of Mn-SLO
(Table ). For both 13C10 and 13C11,
the Mn–C vectors, and thus the C10–C11 fragment of the
LA chain, lie essentially in the x–z plane of the ZFS tensor (Table ; see Figures , S4, bottom). As a consequence
of the simplification provided by this orientation, ENDOR spectra
collected for all labels at the low-field edge of the EPR spectrum, Figure , provide high-resolution
single-crystal-like ENDOR responses that not only directly give precise
values of A = A⊥, and thus the Mn–C distance
through eq , but also
provide sufficiently high resolution to detect, in some cases, the
contribution of minority conformational substates whose presence is
masked in the majority of the 2D patterns.
Figure 6
35 GHz Mims 13C ENDOR spectra (blue)
and simulation
(purple) at 11 000 G for Mn-SLO WT, DM, and I553G with 13C10-LA (left) and 13C11-LA (right). Conditions:
same as those in Figure . Simulations: Experimental spectra are shown in blue, and individual
simulations of conformers, (a) and (b), and the sum of these are shown in black, gray, and purple, respectively.
For 13C11 of DM and I553G enzymes, the spectra are simulated
by a single conformer, (b). These parameters are
listed in Table .
2D field-frequency pattern spectra and simulation are shown in Figures and S6.
Precision of T(r) = ±4 kHz;
values of r calculated
assuming ρeff = 0.994. As described in the Supporting Information, the precision in Mn–C
distances based on measurement uncertainties yields a total uncertainty
of δr/r ∼ ±0.02,
corresponding to δr ∼ ±0.1 Å
for r ∼ 4.8 Å. aiso = 0.01 MHz, except as noted.Error of angles = ±10°
and ±5° for ϕ and θ, respectively.Precision of ENDOR LW = ±5
kHz.Increased distribution
in Mn–C
distance relative to that in WT enzyme; the changes in line width
in mutant enzyme are interpreted as changes in the distribution in
distances as discussed in the Supporting Information.The occupancy of the
(a) and (b) conformers is estimated
by a summation
of the simulation to fit the experimental spectrum at 11 000
G. Error of occupancies = ± 5%.aiso = 0.Well-defined aqua proton.Not determined: The angles have
the range of (∼0, 40) to (∼0, 60).35 GHz Mims 13C ENDOR spectra (blue)
and simulation
(purple) at 11 000 G for Mn-SLO WT, DM, and I553G with 13C10-LA (left) and 13C11-LA (right). Conditions:
same as those in Figure . Simulations: Experimental spectra are shown in blue, and individual
simulations of conformers, (a) and (b), and the sum of these are shown in black, gray, and purple, respectively.
For 13C11 of DM and I553G enzymes, the spectra are simulated
by a single conformer, (b). These parameters are
listed in Table .
2D field-frequency pattern spectra and simulation are shown in Figures and S6.
13C10-LA
The orientation of the Mn–C10
vector within the x–z plane
of the ZFS tensor (ϕ ∼ 0, Table , Figures and S4), together with
the exceptionally high resolution of ENDOR spectra collected at the
low-field edge of the EPR spectrum, Figure , yield low-field single-crystal-like ENDOR
spectra with two peaks associated with the ms = −5/2 ⇔ −3/2 EPR transition, with single-crystal-like
frequency offsets arising for the magnetic field perpendicular to
the Mn–13C10 vector, δν(ms) = msA⊥, where ms = −5/2,
−3/2. This high resolution allows a precise refinement of the
value for A⊥ determined from the
2D pattern. Interestingly, the simulations, as confirmed by the low-field
spectrum, show that A|| ≠ 2A⊥ for 13C10. As a result,
the simulations yield not only the Mn–13C10 dipolar
coupling strength, T = 0.175 MHz, corresponding through eq to the Mn–C distance, r = 4.84 Å, but also a tiny nonzero value, aiso = +0.01 MHz. Despite the remote position
of the 13C10 of LA from the Mn2+ ion, a remarkable
sensitivity of ENDOR spectra to distance emerges from the data.As noted above, the high resolution of the low-field spectrum further
permits the detection and characterization of a minority conformational
substate that is not detected in the 2D patterns. The single-crystal-like
spectrum for 13C10, Figure , shows such a feature on the inner shoulder of the ms = −5/2 peak for the dominant (a) conformer. It is the −5/2 peak from a minority
(b) conformer with smaller dipolar offset, δν–5/2 = −5T/2 and thus is at
a greater distance from Mn: r(a)
= 4.84 Å (∼80% occupancy), but r(b) = 5.21 Å (∼20% occupancy) (Table ).
13C11-LA
Surprisingly, in WT SLO the site
of LA reactivity, C11, does not have a single well-defined majority
position in the active site, even though C10 does. The low-field 13C ENDOR spectrum from 13C11-LA at 11 000
G has three distinct peaks, not two (Figure ), and as shown by the simulations, this
occurs because C11 adopts two equally populated locations in the active
site of SLO. The (a) conformation (∼50% occupancy, Table ) has a Mn–C11
distance almost identical to that of C10, whereas the (b) conformation places C11 nearly an angstrom farther away: r(a) = 4.89 Å (∼50% occupancy),
but r(b) = 5.65 Å (∼50%
occupancy) (Table ).
1H2O ENDOR
To orient the C10–C11
fragment of LA relative to the Mn–OH2 linkage and
thereby generate the information necessary to estimate the metal-bound
oxygen to carbon distance central to catalytic H atom abstraction,
we carried out 1H ENDOR measurements on the exchangeable
protons of the bound H2O, distinguishing these from the
constitutive protons of coordinated histidine by subtracting spectra
collected with enzyme in D2O buffer from those of enzyme
in H2O buffer (see the Supporting Information). The ENDOR spectra that form the resulting 1H 2D ENDOR
pattern show two distinct 1H responses, denoted 1Ha and 1Hb, likely arising from
the two protons of H2O coordinated to Mn2+ or,
less likely, from OH– in two conformers. Proton 1Ha has a distinctly better resolved ENDOR response.
Its position, as determined by simulations of its 2D pattern (Figure S5), lies roughly within the x–z ZFS plane, as do those of C10 and C11
(see Table for parameters
and Figure ). The
peak positions and line shape for the 1Hb signal
are not defined sufficiently enough to extract a precise location.
Figure 7
Model
structures for active site ground state (a) and (b) conformers. The distances represented
by the red dotted lines are ENDOR-derived distances; the Mn–O
distance, obtained from the X-ray crystal structure, is 2.23 Å.
For the (a) conformer in WT enzyme, the angle, γ
= 26°, is calculated by MD simulations using ENDOR-derived distances
as restraints (see Materials and Methods).
The Euler angles (ϕ, θ) relative to ZFS axes for 13C10, 13C11, and 1Ha in the
WT (a) conformer are (0°, 50°), (0°,
40°), and (0°, 70°), respectively; the shared values
of ϕ ∼ 0 imply that all three lie, within error, in the x–z plane of the ZFS tensor. The position of 1Hb is not well established, and it is arbitrarily
pictured (in gray), for completeness, since the active site 2+ metal
ion is anticipated to bind a water molecule. The purple dashed line
represents the ground state equilibrium DAD distance (Req) calculated trigonometrically. The DAD (Req) for the WT (b) conformer (purple
dashed line) is estimated by also assuming γ = 26°. MD
simulations on the I553G and DM structures (see Materials
and Methods) produce comparable γ values (31–33°)
to WT. Using γ = 26° (from WT) yields DADs of 3.7 and 3.9
Å, respectively, for I553G and DM SLO (b) conformers.
The uncertainty of the C11–O distances is estimated as ±0.2
Å (see the text and Supporting Information). Dashed circles suggest the nuclei (oxygen of water and C11 hydrogens
in (a) conformer) lie out of the x–z plane of the ZFS axes.
Model
structures for active site ground state (a) and (b) conformers. The distances represented
by the red dotted lines are ENDOR-derived distances; the Mn–O
distance, obtained from the X-ray crystal structure, is 2.23 Å.
For the (a) conformer in WT enzyme, the angle, γ
= 26°, is calculated by MD simulations using ENDOR-derived distances
as restraints (see Materials and Methods).
The Euler angles (ϕ, θ) relative to ZFS axes for 13C10, 13C11, and 1Ha in the
WT (a) conformer are (0°, 50°), (0°,
40°), and (0°, 70°), respectively; the shared values
of ϕ ∼ 0 imply that all three lie, within error, in the x–z plane of the ZFS tensor. The position of 1Hb is not well established, and it is arbitrarily
pictured (in gray), for completeness, since the active site 2+ metal
ion is anticipated to bind a water molecule. The purple dashed line
represents the ground state equilibrium DAD distance (Req) calculated trigonometrically. The DAD (Req) for the WT (b) conformer (purple
dashed line) is estimated by also assuming γ = 26°. MD
simulations on the I553G and DM structures (see Materials
and Methods) produce comparable γ values (31–33°)
to WT. Using γ = 26° (from WT) yields DADs of 3.7 and 3.9
Å, respectively, for I553G and DMSLO (b) conformers.
The uncertainty of the C11–O distances is estimated as ±0.2
Å (see the text and Supporting Information). Dashed circles suggest the nuclei (oxygen of water and C11hydrogens
in (a) conformer) lie out of the x–z plane of the ZFS axes.
ENDOR of Mn-SLO Variants
Effects of
Mutations on Position of C10
As with the
WT enzyme, we collected 2 K 2D field-frequency patterns of 13C ENDOR spectra taken across the EPR envelope of the Mn2+ ion of Mn-SLO mutants with 13C10- and 13C11-LA
bound in the active site and used the multipass analysis protocol
to generate optimized simulations of these patterns, Figure S6. The resulting 13C10 and 13C11 hyperfine parameters are given in Table .Analogous to the WT enzyme, 13C ENDOR spectra show highly resolved single-crystal-like
low-field ENDOR spectra for 13C10-LA bound to the DM and
I553GSLO variants (Figure , left-hand column). Each exhibits the two single-crystal-like
lines at offset δν(ms) = ms × A⊥ (ms = −5/2, −3/2), whose
frequencies can be used directly to calculate r(Mn–C10)
for the main conformation. The spectrum from the DM variant is unchanged
from that of the WT enzyme, thus demonstrating that replacement of
this pair of residues, which includes the L754A replacement adjacent
to the metal-ion site, nonetheless does not alter either the occupancies
of the majority (a) and minority (b) positions of C10 or their Mn–C10 distances (Table ).In contrast, the low-field 13C10 ENDOR spectrum is obviously
altered by the I553 variation. The peak frequencies for the reactive
(a) conformer are also essentially unchanged relative
to WT, which shows that the mutation does not alter the Mn–C10
distance for this conformer (Table ). However, the spectra clearly show the presence of
features with lower offset, associated with an enhanced population
of the (b) conformer at a substantially longer Mn–C10
distance (Table ).
In addition, the features of both conformers for I553G are strongly
broadened, which implies that each “conformer” in fact
corresponds to a distribution of Mn–C10 distances whose breadth
is increased by the mutation (see the Supporting Information).
Loss of the (a) Conformer
for C11 in I553G
and DM-SLO
The low-field 13C11 spectra of I553G/LA
and DM/LA show that both variations depopulate the near-lying (a) conformation, leaving the (b) conformation,
with its larger Mn–C11 distance unchanged (Figure , right-hand column). An unchanged
line width for (b) further indicates that in both
variants the distribution of distances for this conformation remains
the same. This result implies that restraints in the WT enzyme ground
conformational state force the LA in approximately half of the ES
complexes to adopt the (a) conformation with its
shorter Mn–C11 distance, r = 4.89 Å,
whereas LA in the other half of the ES complexes adopts the (b) conformation with its longer distance, r = 5.65 Å. The packing defects created by either the I553G or
DM mutations relax those restraints and allow the enzymatic target
C11carbon of LA to “spring back” from what is clearly
the reactive, (a), conformation, leading to essentially
complete occupancy of the more remote, inactive (b) conformation. Thus, the positioning of C11 changes sharply in both
mutants, but that of C10 does not.
MD Simulations on Mn-SLO/LA
Model
To convert the metal-to-carbon
distances obtained from ENDOR measurements to ground state carbon
(proton donor) to oxygen (proton acceptor) distances, it was necessary
to estimate the internal angle among C11, Mn, and the oxygen of the
water bound to Mn (see Figure ). This was accomplished via in silico modeling of the SLO/LA
complex using the WT Mn-SLO crystal structure to obtain the starting
coordinates and imposing ENDOR restraints on the C11–Mn and
C10–Mn distances during MD simulations. In these calculations,
two orientations of the LA within the binding pocket were considered:
with the carboxylate group buried (“carboxylate in”)
or pointing toward the surface (“carboxylate out”).[28] A variety of structural studies with substrate
analogues and also kinetic studies have suggested the possibility
of both orientations.[27,28,60−63] Because of the resulting uncertainty regarding the correct binding
mode in SLO, the MD simulations were thus conducted for both possible
orientations of LA.For the reported MD simulations, the protein
was treated using the AMBER12 force field with additions described
in the Supporting Information, and the
system was solvated with explicit TIP3P water molecules. The C11–Mn
and C10–Mn WT distances were restrained to the “close”
values determined from the ENDOR experiments, at 4.9 and 4.8 Å
for C11–Mn and C10–Mn, respectively, by applying harmonic
restraints. After a comprehensive equilibration procedure, two independent
50 ns trajectories were propagated for each system, and representative
configurations for each system are shown in Figure S7. For the “carboxylate-in” model, the DAD (C11–O
distance) in the ground state was calculated from the ENDOR-derived
Mn–13C distance and the MD-derived O–Mn–13C angle: Req ≈ 3.1 Å,
with an uncertainty of ∼0.2 Å arising from a combination
of the uncertainties in the angle (±4°) and the ENDOR measurements
(±0.1 Å). The average C11−O distance obtained from
the equilibrium MD simulations with ENDOR-derived restraints was also
3.1 Å (Table S4). This DAD of 3.1
Å corresponds well to a sum of van der Waals radii. However,
the MD simulations on the “carboxylate-out” orientation
resulted in a much longer equilibrium C11–O distance of 4.2
Å for WT SLO. This latter model also places C13, the selective
site for molecular oxygen insertion upon radical formation, away from
the putative O2 channel.[64] Therefore,
our MD simulations provide preference for a “carboxylate-in”
binding orientation for LA in SLO. The remainder of this discussion
will thus pertain to the “carboxylate-in” binding orientation.MD simulations were also performed for the Mn2+-containing
I553G and DM-SLO systems in a similar manner to WT (see the Supporting Information). The C11–Mn and
C10–Mn distances were restrained to the values determined from
the ENDOR experiments: the C11–Mn distances were ca. 5.6 and
5.8 Å for the I553G and DM species, respectively, and the C10–Mn
distance was 4.8 Å for both species. These distances correspond
to the (b) conformation, in contrast to the distances
corresponding to the (a) conformation used for WT.
The MD simulations indicate that the C11–Mn–O angles
are within error for the WT and mutant proteins, Table S4, whereas the C11–O distances for the two mutant
species are of course longer, Table S4,
mainly due to the use of restraints associated with the more highly
populated (b) conformation.
Discussion
This work marks the inaugural report on the active site geometries
for the ES complex of SLO. A picture of the active site of SLO/LA
is generated by this study (Figure ) through a combination of (i) 35 GHz pulsed ENDOR
measurements of the length and orientation of the vectors from the
active site Mn2+ to C11 and C10 of LA and the 1H of bound H2O (Table ); (ii) the X-ray structure of Mn-SLO, which makes
it clear that Mn substitution provides a faithful structural analogue
to the native SLO and gives the Mn–O distance; (iii) a value
for the angle, γ, subtended by the Mn–O vector and the
Mn–C11 vector as inferred from the “carboxylate-in”
MD simulation of Mn-SLO/LA; and (iv) the assumption of standard bond
lengths and angles for the atoms of LA and the bound water. Creation
of this picture was greatly simplified by the ENDOR result that C11,
C10, and one of the H atoms of H2O all lie in the same
plane (Figure ).The ENDOR measurements determine hyperfine coupling tensors of
the nearby noncoordinated nuclei through the analysis of the 2D field-frequency
pattern of orientation-selective ENDOR spectra collected across the
EPR envelope of the Mn2+ ion of Mn-SLO (Figures and 6). The dipolar interaction component of the coupling to 13C nuclei of bound LA substrate and 1H of bound water/hydroxide, T (eq ), yields
both the length and orientation of the Mn-nuclear vector relative
to the ZFS axes. Analysis of analogous 2D patterns for paramagnetic
centers whose anisotropic g tensor introduces orientation
selection into the individual ENDOR spectra has been increasingly
utilized since the protocol was first introduced.[57] However, although it was noted at that time that “the
same approach could be used in cases where fine-structure [ZFS] anisotropy
dominates”,[57] to our knowledge this
is the first instance where this possibility has been realized. The
overlap of EPR signals from the multiple ms manifolds of the S = 5/2 Mn2+ adds a
substantial degree of difficulty to this ZFS approach. However, by
taking into account strong enhancement of sublevel and orientation
selectivity in the EPR signal achieved by the thermal depopulation
of higher-lying ms levels at 2 K, we have
been able to use the resulting enhanced orientation selectivity in
the ENDOR responses to determine the hyperfine coupling matrices for
the Mn-SLO substrate nuclei and for bound water as well. The development
of this protocol has allowed us to use the through-space dipolar coupling
to the substrate to obtain precise metrical data for the distance
of the C11 target and adjacent C10 of LA from the metal ion, as well
as their orientation relative to the H2O ligand. Embedding
these results into the X-ray and “carboxylate-in” MD
structures then yields the pictures of substrate binding presented
in Figure that incorporates
the metrical values summarized in Table .Three key features emerge from the
current study, as visualized
in Figure . First,
the equilibrium DAD (Req) in the dominant
ground state conformation of the WT SLO enzyme–substrate complex
indicates a van der Waals contact between the target C11 of the substrate
and the oxygen of the ligated water molecule, Req ∼ 3.1 Å; a minority ground state conformation,
(b), has an even larger distance, Req ∼ 3.8 Å. We note that these are the minimum
distances that arise from the planar arrangement of atoms illustrated
in Figure . Some deviation
from planarity is expected as the active site geometry is optimized
for orbital overlap between the transferred hydrogen and the lone
pair of the acceptor oxygen atom, and this would increase the distances.
This finding demonstrates the need for conformational sampling to
achieve configurations with the decreased proton donor–acceptor
(C11–O) distance (ca. 2.7 Å in the WT enzyme) required
for effective tunneling in nonadiabatic hydrogen tunneling models.
As discussed in depth in a number of reviews (e.g., refs (11), (18), and (65)), the hydrogen vibrational
wave function overlap between reactant and product states depends
on the proton DAD, which fluctuates due to equilibrium thermal motions,
thereby sampling shorter distances with higher tunneling probabilities.Second, the observed ground state equilibrium C11–O distances
in strategically placed mutations are elongated with respect to WT
(enhanced occupancy of the (b) conformation, which
has Req ∼ 3.8 Å). Third, the
increase in the ground state distance dispersion for 13C10 LA in the I553G mutant, relative to WT or DM, is in the direction
expected from the previous observation of a weaker force constant
for donor–acceptor sampling and, hence, enhanced sampling that
helps to recapture some of the DAD characteristic of WT (cf. δr values in Table ). These aggregate findings provide strong support of the
theoretical framework that has been previously advanced for C–H
activation in lipoxygenase.[19−22,66]
Absence of Compaction in
the WT-SLO Ground State ES Complex
The ground state active
site structure trapped by freezing the
LA complex of WT enzyme exhibits substrate positioned in two (major)
conformations. The most significant finding from the WT enzyme is
that the distance from the reactive C11 of LA to the oxygen of the
metal-bound water is Req ∼ 3.1
Å in the closer (a) conformation, meaning that
the transferred hydrogen would still need to move ca. 1.0 Å and
even longer to the extent that reaction occurs from a position outside
of the Mn–C10–C11 plane. We are, thus, able to rule
out any unusual “compaction” within the dominant ground
state enzyme–substrate complexes of SLO, providing experimental
confirmation that the short tunneling distances predicted for catalytic
hydrogen atom tunneling (ca. 0.6 Å) must arise from the sampling
of the protein–ligand conformational landscape accessible within
the ES complex. In the (b) conformation of LA, although
C10 of LA remains at essentially the same position as in the (a) conformation, the target C11 of substrate has “sprung
away” from the reactive oxygen by an additional ∼0.7
Å. In order for SLO to react from this extended (b) conformation, a much more significant protein structural rearrangement
will be required that may be better described as a protein conformational
change that first converts (b) into the (a) conformation prior to the conformational “fine-tuning”.In considering catalytic function, it is important to note that
over the course of the two 50 ns MD trajectories conducted on the
WT system (Figure S8) 4 out of 2000 frames
(0.2%) displayed DADs that are ≤2.9 Å, with the shortest
at 2.88 Å. Although we would not expect the shorter distances
to be sampled more than a few times (at most) in the complete 100
ns simulations, the observation of C11–O distances at ≤2.9
Å establishes some precedent for the role of stochastic protein–ligand
thermal motions in forming compacted DADs during the reaction. Given
the wide range of time scales for protein motions that are expected
to occur, longer MD simulations on SLO will be of considerable interest.We note that while the present measurements are focused on the
DAD, the efficiency of hydrogen tunneling will also be dependent on
protein motions that give rise to electrostatic tuning, normally represented
by the reorganization energy and reaction free energy as originally
derived in the context of the Marcus theory of electron tunneling.[67]
Relevance to Other C–H Activating
Enzymes
While
“ES” structures of human lipoxygenases have been reported,[68−70] perhaps the only true ES model of lipoxygenases thus far is the
coral 8R-lipoxygenase with bound arachidonic acid.[63] This lipoxygenase and SLO share only 28% sequence identity,
react with different substrates, and have distinct kinetic behaviors.
However, the iron in 8R-lipoxygenase maintains proper octahedral geometry
with the expected conserved iron ligands, and the atomic coordinates
of the metal and the first ligation sphere are nearly superimposable
with native SLO (RMSD = 0.24 Å). From this X-ray derived model,
the ground state DAD between reactive carbon (C13) of arachidonic
acid and oxygen from the water bound to Fe is 3.4 Å (beyond van
der Waals contact) and is qualitatively comparable with our current
findings.[63]The observation here
of van der Waals contacts within the SLOES complex provides a direct
correspondence with the X-ray derived ES structures of other types
of C–H activating enzymes, for example, dihydrofolate reductase
(DHFR), which has served as one of the model enzymes for quantum mechanical
hydride (charged atom) transfer studies. Although the electrostatics
of the active site are considerably different than SLO, native DHFR
displays temperature-independent kinetic isotope effects,[71] suggesting the importance of isotope-independent
conformational sampling modes to achieve tunneling-effective DADs
that are significantly shortened from the ground state with van der
Waals contacts.[17,72] Thus, a unified picture has emerged
for C–H activating enzymes, in which stochastic sampling of
a range of protein–ligand conformational substates is a necessary
prerequisite for effective hydrogen tunneling.[10,11,73,74]
Effects of
Mutants on the Ground State DAD and Relevance to
Catalysis
Having characterized the active site ES structure
in WT SLO, the DADs of two previously studied mutants with sharply
altered catalytic properties were likewise examined. Position 553
is expected to interact with substrate, but it is remote from the
site of hydrogen abstraction (the nearest side chain atoms are ≥10
Å from the Fe center in SLO). Extensive kinetic and theoretical
investigations[21,22,25] have led to the conclusion that mutations at this position both
increase the equilibrium ground state DAD, through an enlargement
of the active site cavity, and also permit more facile DAD sampling
that enables some recovery of WT behavior. These effects are manifested
primarily in the temperature dependence of the kinetic isotope effect
(ΔEa), which increases from an apparent
difference in activation energy of 0.9 kcal/mol for WT to 5.3 kcal/mol
for the most extreme variant, I553G.[25] The
second variant studied, the double mutant (DM-SLO), constructed by
changing two conserved leucine residues proximal to the site of hydrogen
abstraction into alanines (L546A/L754A; Figure A), exhibits an impaired kcat that is 104-fold lower than WT and an unprecedented
kinetic isotope effect (>500) at room temperature.[42] Analysis of DM-SLO kinetics[22,42] compared to
WT kinetics indicates an increase in the Req, which is consistent with the enlarged active site cavity, and similar
or less facile DAD sampling, thereby precluding recovery of WT-like
behavior as seen for I553X.For both of these variants, the
ENDOR measurements show that the mutation depopulates the LA (a) conformation with closer approach of C11 to Mn seen in
WT enzyme, leaving only the (b) conformation with
the longer distance. We interpret these changes in LA conformation
within the I553G and DM of Mn-SLO as reflective of a balance in the
native protein between forces exerted by nearby amino acid residues
that stabilize the close (a) conformation and a range
of additional substrate/protein interactions that can torsion the
LA chain away from the metal center when key restraints are removed.
For example, when the forces exerted by I553 are “relaxed”
in the I553G variant, which opens the pocket in the vicinity of bound
substrate, the reactive carbon “springs back” and the
C11–C10 fragment adopts only the (b) conformation,
with negligible occupancy of the reactive (a) conformation.
In contrast, the C10–Mn distances are not significantly perturbed
upon mutation, supporting a remarkable specificity of structural forces
in WT that control the geometry of the reactive carbon (C11) of substrate
within the active site cavity.In these SLO mutant enzymes,
the loss of the (a) conformer for the C11–Mn
interaction leads to C11–O
distances that are ∼0.7 Å longer than WT (3.7 and 3.9
Å) for I553G and DM variants, respectively. These longer DADs
are not conducive to facile hydrogen transfer and, as already noted
in the context of WT-SLO, require a transformation from the (b) conformer to the reactive (a) conformer
to facilitate sampling of yet shorter distances that can support hydrogen
transfer. Vibronically nonadiabatic theoretical models of SLO lead
to DAD dominant tunneling distances in the range of ca. 2.7 Å
in the native enzyme to ca. 2.9 Å in selected mutants, requiring
a balance between more remote conformational sampling processes and
local DAD sampling, with the latter becoming especially critical for
obtaining distances conducive to facile hydrogen tunneling in the
majority of mutants.[22,66]The fundamental kinetic
differences between the roles of the DAD
in I553G vs DM-SLO are fully supported by the ENDOR experiments. In
the case of the I553G variant, a broadening of the ENDOR lines implies
a general loosening of bound substrate that produces an increased
distribution in the 13C10–metal ion distances and
hence the hyperfine couplings, eq S11.
These changes are consistent with published kinetic data that have
implicated a significant increase in active site flexibility that
imparts enhanced sampling of the DAD in I553G.[21,22,25] The properties of the ground state ES complex
as inferred from the nonadiabatic kinetic analysis of DM are quite
distinct from I553G, with a similar expectation of an elongated DAD
but with a reduced capability for recovery of the shorter DAD characteristic
of WT SLO.[22,42] It is therefore gratifying to
see that the ENDOR spectra for both C10 and C11 of the substrate with
DM-SLO are consistent with a less flexible positioning of the substrate
relative to the catalytic metal center that approximates WT. It follows
that the magnitude of the distance dispersion of the ENDOR spectra
may serve as a potentially new, sensitive probe for changes in substrate
dynamics or flexibility within an active site cavity.
Conclusions
The three-dimensional SLO active site ground state has been shown
to contain a reactive conformer with a hydrogenDAD of ∼3.1
Å, approximately van der Waals contact, as well as an inactive
conformer with an even longer DAD, establishing that stochastic conformational
sampling is required to achieve reactive tunneling geometries. Tunneling-impaired
SLO variants show increased DADs and variations in substrate positioning
and rigidity, confirming previous kinetic and theoretical predictions
of such behavior. The present investigation highlights (i) the high
degree of predictive power that is emerging from developed nonadiabatic
quantum treatments of proton-coupled electron transfer (PCET) in SLO
(and other systems) and (ii) the sensitivity of ENDOR probes to test,
detect, and corroborate kinetically predicted trends in the physical
parameters that describe active site reactivity and to reveal unexpected
features of active site architecture.
Materials
and Methods
Materials
The synthesis for specifically labeled 13C10 LA and 13C11 LA has been previously reported.[76] The positions of the isotopically labeled substrates
are shown in Figure S9. Manganese(II) chloride
was obtained from Strem Chemicals (99.999% Mn). Unless noted, all
other reagents were obtained from Sigma-Aldrich, Fisher Scientific,
or VWR.
Protein Expression and Purification
Wild-type and mutant
SLOs were expressed in E. coli BL21(DE3)
Codon Plus RIL cells. Overnight cultures (120 mL), generated from
fresh transformations and grown in LB/Amp medium, were centrifuged
to remove enriched medium. Cells were washed and resuspended in (6)
to (12) 1 L M9-based minimal media, devoid of iron, but containing
0.4% (w/v) glucose and supplemented with 1 mM magnesium sulfate, 0.1
mM calcium chloride, 100 μg/mL thiamine, 150 μM manganese(II)
sulfate, and 0.2% (w/v) casamino acids. The cultures were grown to
OD600 = 0.6–1.0, at which point the temperature
was rapidly decreased to 15 °C and maintained for 96 h. The cultures
were harvested; SLO was purified as described previously.[42] Typical yields were 0.5–3 mg of SLO per
liter. All proteins were 90% pure, as assessed by SDS-PAGE analysis.
Manganese Incorporation Quantitation
Metal content
was determined using inductively coupled plasma–atomic emission
spectroscopy (ICP-AES), which was performed at the Inductively Coupled
Plasma Spectroscopy Facility in the College of Natural Resources,
UC Berkeley. Manganese and iron concentrations were determined from
standard curves using 10, 50, 100, 500, and 1000 ppb Mn/Fe dilutions
of commercially available 1000 ppm metal reference standards (Fisher
Scientific). Protein concentrations were determined using the molar
extinction coefficient ε280 = 132 mM–1 cm–1.[77] The manganese
contents, averages of three replicates each, were determined as 0.9
± 0.1, 0.6 ± 0.05, and 0.6 ± 0.1 Mn2+ atoms
per protein for WT, DM, and I553Gmanganese-substituted samples, respectively.
All samples contained ca. 0.03 ± 0.03 iron per Mn-SLO. For comparison,
the iron content for WT Fe-SLO was measured with both ICP-AES and
the ferrozine assay.[78] Both methods gave
similar results, with 0.9 ± 0.1 Fe atoms per WT Fe-SLO.
UV Kinetics
To test the level of activity in the WT
Mn-substituted SLO, steady-state kinetic experiments were conducted
spectrophotometrically on a Cary 50 UV/vis spectrophotometer as described
previously.[19] Product, hydroxyoctadecadienoic
acid (HPOD), formation was quantified from the absorbance at 234 nm
with a molar extinction coefficient (ε234 nm = 23.6 mM–1 cm–1). Unimolecular
rate constant (kcat) for Mn-SLO at 30
°C was determined to be ca. 7 ± 2 s–1,
which is 2–3% of WT Fe-SLO. Because this value coincides with
the level of contaminating iron (see above for ICP-OES results) and
is much lower than the rate of linoleic acid (per)oxidation by the
native MnLOX (kcat ∼ 20–30
s–1; see Table S1), we
conclude that Mn-SLO is inactive.
Cryogenic X-ray Crystallography
All additional protein
purification and crystallization steps were performed as previously
described,[25] with modifications.[42,79] After several rounds of seeding, the crystals were transferred to
20% PEG-3350, 0.2 M sodium acetate, pH 5.5, and 20% ethylene glycol
and then flash frozen in liquid N2. Diffraction data were
collected at 100 K at beamline 8.3.1 of the Advanced Light Source
at Lawrence Berkeley National Laboratory. All data were processed
at the College of Chemistry Molecular Graphics Facility (UC Berkeley)
using the CCP4 suite,[80] with integration
performed in IMOSFLM[81] and scaling and
merging in POINTLESS, AIMLESS,[82,83] and CTRUNCATE.[84,85] An initial solution was found by molecular replacement using Phaser[86] with PDB 3PZW as the search model. Manual refinement
was performed in Coot,[87,88] and automated refinement, using
the PHENIX suite.[89]
ENDOR Sample Preparation
ENDOR samples contained 500
μM Mn-SLO and 1 equiv of respective LA in 0.1 M sodium borate,
pH 9.0, with 15% (v/v) ethylene glycol as a glassing agent. To prepare
each sample, a known amount of LA, determined enzymatically, was transferred
to a glass vial then to an anaerobic glovebox. LA was dissolved in
deoxygenated 0.1 M sodium borate, pH 9.0, containing 50% (v/v) ethylene
glycol. The LA/ethylene glycol solution was mixed with deoxygenated
enzyme to a total volume of 65 μL and 15% (v/v) ethylene glycol
and transferred into a suitable ENDOR tube. The tube was sealed with
vacuum grease, removed from the glovebox, and frozen in liquid nitrogen
within 30 s of its removal. The samples were stored at liquid nitrogen
temperature until data acquisition. A control experiment, in which
an ENDOR sample was prepared as described above but within a UV/vis
cuvette, was sealed and removed from the anaerobic chamber and scanned
spectrophotometrically for the presence of product (234 nm). No product
formation was detected over the course of 45 min at room temperature.
Product began to form once the cuvette was opened to atmospheric oxygen.
This control demonstrates that there is no detectable product formation
during the time course of the ENDOR sample preparation. It is important
to note that, under the buffer conditions listed above, the critical
micelle concentration (CMC) of LA is >0.6 mM, as determined by
steady-state
fluorescence techniques with 1,6-diphenyl-1,3,5-hexatriene as a sensitive
fluorescent reporter of micelle formation.[90] Furthermore, control kinetic experiments were conducted with the
ENDOR buffer conditions (0.1 M sodium borate, 15% ethylene glycol,
pH 9.0) and showed comparable kinetics to standard kinetic reaction
buffer conditions, which lack 15% ethylene glycol.For the D2O-exchanged SLO experiment, the samples were prepared as described
above for the specific label, except with a D2O-exchanged
protein. The WT Mn-SLO was exchanged into 0.1 M borate pD 9.0 (using
corrected pH reading[91]) D2O
(Cambridge Isotopes, 99% D) buffer via four cycles of dilution and
concentration via 15 mL Amicon 30K MWCO centrifuge concentrator. Prior
to mixing anaerobically, natural abundance LA was prepared in deoxygenated
0.1 M borate pD 9.0 containing 50% (v/v) ethylene glycol-(OD)2 (Isotech; 98% D).
EPR/ENDOR Measurements
Q-band CW
EPR spectra were collected
on a spectrometer described previously.[92] Q-band echo-detected EPR spectra (two-pulse echo sequence, π/2−τ–π–τ-echo)
and pulsed ENDOR[93] spectra were collected
on a spectrometer that has similarly been described.[94,95] All measurements were done with helium immersion dewars, at 2 K.
The Davies sequence (three-pulse echo sequence, π/2−τ–π–T−π/2−τ–echo,
with rf pulse (Trf) inserted in the interval, T, between second and third pulses[93]) was used for 1H and 14N ENDOR of H2O and histidine coordinated to Mn2+.[39,41] The Mims pulsed ENDOR sequence (three-pulse echo sequence, π/2−τ–π/2–T−π/2−τ–echo,
with rf pulse (Trf) inserted in the interval, T, between second and third pulses[93]) was used for 13C ENDOR of labeled LA substrate.
EPR Simulations
The zero-field splittings (ZFS) of
the Mn2+-SLO variants were obtained by best fitting the
“shoulders” and “wings” of their 2 K absorption-display
EPR spectra with the EasySpin 5.0 program in Matlab, as modified by
incorporation of a Gaussian distribution in the ZFS parameters, [D, λ] (Supporting Information). This procedure nicely reproduces the main features in a spectrum,
but fine details of the intensities are not perfectly matched. In
part this is because the distribution is not a simple Gaussian, but
in larger part this is because “the spectrum” of Mn2+ (S = 5/2) at 2 K is not itself well-defined.
The detailed shapes of both CW and pulse EPR spectra depend sensitively
on relaxation processes that are neither understood in detail nor
incorporated in the computer simulations.
ENDOR Simulations
ENDOR spectra were fit with EasySpin
5.0, with the use of the distributed ZFS parameters determined in
the EPR simulations (Supporting Information), and the incorporation of “blind spots” in Mims ENDOR
spectra through a modification for S > 1/2 systems
of the procedures described previously.[96] Optimization of spin-Hamiltonian parameters gives essentially perfect
agreement with frequencies of features in the ENDOR spectra but, at
best, adequate agreement with intensities. We attribute this to difficulties
similar to those that hamper simulation of EPR spectra. In determining
relative occupancies of the different conformers, we use only the
intensities of the ms = −5/2 peaks
obtained at the low-field single-crystal-like edge of the EPR spectrum
(11 000 G), Figure ; for this comparison, effects of the difficulties cancel.As described in Results, and with further
details given in the Supporting Information, the ZFS of the S = 5/2 Mn2+ ion introduces
strong sublevel and orientation selectivity in the EPR signal, enhanced
by the thermal depopulation of higher-lying ms levels at 2 K, and this translates to corresponding selectivity
in the ENDOR responses, allowing analysis of the dipole-dominated
hyperfine tensor through analysis of 2D field-frequency plots, in
analogy to the approach used in the simpler case of S = 1/2.[59]
Computational Details
The MD simulations were performed
using NAMD-2.9.[97] For the WT enzyme, the
initial structure was obtained from the Mn-SLO crystal structure with
PDB code 4WFO. For the I553G and DM mutant Mn-SLO species, the corresponding mutant
Fe-SLO crystal structures were used as starting structures (PDB code 3BNC for the I553G mutant[25] and 4WHA for DM[42]), replacing the
Fe with Mn and optimizing the geometry of the replaced Mn and surrounding
six ligands with the remainder of the enzyme structure fixed. It is
important to note here that these geometry-optimized Mn2+ ion containing structures of the I553G and DM variants reproduce
the short Asn694–metal distance as seen in the X-ray structure
of WT Mn-SLO (for more information, see the analysis of the Mn-SLO
structure in the Results section). The missing
residues in the 4WFO crystal structure were added with the Profix module in the Jackal
package.[98,99] The protonation states of each residue were
determined and the hydrogen atoms were added using the H++ utility[100,101] with pH = 9.0. The initial position of the LA substrate was determined
by docking the substrate to the active site of the Mn-SLO using the
Glide module in the Schrödinger package.[102]The AMBER12 force field[103−106] was used to describe the majority of the system, with additional
parameters determined as follows. The partial charges of the atoms
in the LA substrate were obtained from a previous study.[107] The parameters for the equilibrium Mn–ligand
bond lengths were obtained from a QM/MM geometry optimization, in
which the Mn and the six ligands (i.e., residues 499, 504, 690, 694,
and 839 and the bound water) were in the QM region and all other atoms
were in the MM region. The QM region was treated with density functional
theory using the B3LYP functional in conjunction with the 6-31G**
basis set for all atoms with the exception that the LANL2DZ[108] basis set was used for the Mn atom. The force
constant parameters for the Mn–ligand bonds were obtained from
a previous experimental study for a Mn model compound.[109] In contrast to the Mn–ligand bond parameters,
which were specific to the Mn system, the Mn–ligand angle (X–Mn–Y,
where X and Y are the ligand atoms bound to Mn, and Mn–O–H
for the water ligand) parameters were approximated to be independent
of the metal center and were chosen to be identical to those used
in previous studies of the Fe-based system.[20,107] The bond and angle parameters associated with the Mn–ligand
interactions are provided in Table S3.
The explicit water was described with the TIP3P water model.[110]The computational details of the equilibration
procedure and the
subsequent MD trajectories are as follows. First, only the positions
of the hydrogen atoms were optimized while the other atoms in the
system were fixed. Next, the Mn-SLO system was solvated in a TIP3P[110] water box with dimensions 134 × 90 ×
80 Å3, and the system was neutralized by adding sodium
ions. In the first stage of equilibration, only the water and sodium
ions were equilibrated at 300 K in the NVT ensemble for 100 ps, while
the Mn-SLO/LA portion of the system was fixed. At this point in the
procedure, the C11–Mn and C10–Mn distances were restrained
to the values determined from the ENDOR experiments by applying harmonic
potentials to prevent ligand dissociation. The equilibrium C11–Mn
distance was set to be 4.9, 5.6, and 5.8 Å for the WT, I553G,
and DMMn-SLO species, respectively, and the C10–Mn distance
was set to be 4.8 Å for all three species. The force constant
used for these harmonic restraints was 200 kcal/mol Å–2. Prior to performing MD, first only the geometry of the LA substrate
was optimized while the Mn-SLO and solvent were fixed, and subsequently
the whole system was optimized. In the next stage of equilibration,
the temperature was raised incrementally from 50 to 100, 200, and
303 K with 100 ps of MD at each temperature in the NVT ensemble. Subsequently,
1 ns of MD in the NPT ensemble at 300 K was performed. Then, another
50 ns of MD in the NVT ensemble at 300 K was conducted. After this
equilibration, the production MD trajectory was propagated in the
NVT ensemble at 300 K for 50 ns. One-thousand frames separated by
50 ps within the production trajectory were collected for calculating
the average C11–O distance and C11–Mn–O angle.
Two independent MD trajectories were propagated for each system.
Authors: Paul D Adams; Pavel V Afonine; Gábor Bunkóczi; Vincent B Chen; Ian W Davis; Nathaniel Echols; Jeffrey J Headd; Li-Wei Hung; Gary J Kapral; Ralf W Grosse-Kunstleve; Airlie J McCoy; Nigel W Moriarty; Robert Oeffner; Randy J Read; David C Richardson; Jane S Richardson; Thomas C Terwilliger; Peter H Zwart Journal: Acta Crystallogr D Biol Crystallogr Date: 2010-01-22
Authors: Viola C Ruddat; Rakesh Mogul; Ilya Chorny; Cameron Chen; Noah Perrin; Stephanie Whitman; Victor Kenyon; Matthew P Jacobson; Claude F Bernasconi; Theodore R Holman Journal: Biochemistry Date: 2004-10-19 Impact factor: 3.162
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Authors: John C Gordon; Jonathan B Myers; Timothy Folta; Valia Shoja; Lenwood S Heath; Alexey Onufriev Journal: Nucleic Acids Res Date: 2005-07-01 Impact factor: 16.971
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