In the Wood-Ljungdahl carbon fixation pathway, protein-protein interactions between methyltransferase (MeTr) and corrinoid iron-sulfur protein (CFeSP) are required for the transfer of a methyl group. While crystal structures have been determined for MeTr and CFeSP both free and in complex, solution structures have not been established. Here, we examine the transient interactions between MeTr and CFeSP in solution using anaerobic small-angle X-ray scattering (SAXS) and present a global analysis approach for the deconvolution of heterogeneous mixtures formed by weakly interacting proteins. We further support this SAXS analysis with complementary results obtained by anaerobic isothermal titration calorimetry. Our results indicate that solution conditions affect the cooperativity with which CFeSP binds to MeTr, resulting in two distinct CFeSP/MeTr complexes with differing oligomeric compositions, both of which are active. One assembly resembles the CFeSP/MeTr complex observed crystallographically with 2:1 protein stoichiometry, while the other best fits a 1:1 CFeSP/MeTr arrangement. These results demonstrate the value of SAXS in uncovering the rich solution behavior of transient protein interactions visualized by crystallography.
In the Wood-Ljungdahl carbon fixation pathway, protein-protein interactions between methyltransferase (MeTr) and corrinoid iron-sulfur protein (CFeSP) are required for the transfer of a methyl group. While crystal structures have been determined for MeTr and CFeSP both free and in complex, solution structures have not been established. Here, we examine the transient interactions between MeTr and CFeSP in solution using anaerobic small-angle X-ray scattering (SAXS) and present a global analysis approach for the deconvolution of heterogeneous mixtures formed by weakly interacting proteins. We further support this SAXS analysis with complementary results obtained by anaerobic isothermal titration calorimetry. Our results indicate that solution conditions affect the cooperativity with which CFeSP binds to MeTr, resulting in two distinct CFeSP/MeTr complexes with differing oligomeric compositions, both of which are active. One assembly resembles the CFeSP/MeTr complex observed crystallographically with 2:1 protein stoichiometry, while the other best fits a 1:1 CFeSP/MeTr arrangement. These results demonstrate the value of SAXS in uncovering the rich solution behavior of transient protein interactions visualized by crystallography.
The Wood–Ljungdahl pathway in acetogenic
bacteria is estimated
to produce 1012 kg of acetate annually from environmental
CO2 and other carbon sources.[1,2] As shown in
Figure 1A, this pathway involves nine enzymes
working together to convert two molecules of CO2 and coenzyme
A (CoA) into acetyl-CoA,[2] which can subsequently
be assimilated as cell carbon or converted to acetate and other products,
such as ethanol or butanol, depending on the acetogenic strain.[3] Harnessing the ability of acetogens to produce
commercially useful multicarbon compounds from CO2 has
long been of interest to the biotechnology community.[3−6] In this study, we investigate protein–protein interactions
that are responsible for the hand-off of one-carbon units from one
enzyme to the next in the Wood–Ljungdahl pathway of the model
acetogen . We
focus on two of the key enzymes in this pathway: the methyltransferase
(MeTr) and the corrinoid iron–sulfur protein (CFeSP), which
must interact to catalyze the transfer of a one-carbon methyl unit.
This interaction is known to be weak, with values of 12–60
μM reported for the Michaelis constant, KM.[7,8] With recent X-ray structures providing static
snapshots of the interactions between these two proteins,[9] we can now probe their solution structures and
investigate their transient interaction in different chemical environments
using small-angle X-ray scattering (SAXS).
Figure 1
CFeSP and MeTr in the
Wood–Ljungdahl carbon fixation pathway.
(A) One molecule of CO2 (red) is reduced to a methyl group
in a series of folate-dependent reactions, catalyzed by five enzymes,
to produce CH3-H4folate, the substrate of MeTr.
MeTr and B12-containing CFeSP form a complex to transfer
the methyl group to the Co(I) center of the B12 cofactor,
forming a CH3–Co(III) intermediate. CFeSP then delivers
the methyl group to the Ni–Fe–S A-cluster of ACS, reducing
the B12 cobalt back to the Co(I) state. ACS subsequently
catalyzes formation of acetyl-CoA by combining the methyl group with
CoA and CO, itself derived from a second molecule of CO2 (blue) by the action of carbon monoxide dehydrogenase (CODH). Intermittent
oxidation of the reactive Co(I) state of B12 causes inactivation
to the Co(II) state. CFeSP can be reactivated by an electron that
is transferred from the CFeSP Fe4S4 cluster
to the B12 cobalt. (B) CFeSP is a heterodimer of a small
(light blue) and a large (green) subunit consisting of a B12, central, and Fe4S4 domain.[9] MeTr is a homodimer (pink/magenta), with each monomer containing
a CH3-H4folate binding site.[10,11] (C) Crystal structures of CFeSP/MeTr in complex exhibit 2:1 stoichiometry,
with CFeSP (cyan) making equivalent interactions on either side of
MeTr (pink).[9] (D) A model for a CFeSP/MeTr
complex with 1:1 stoichiometry can be generated by removing one CFeSP
from the structure shown in (C).
CFeSP and MeTr in the
Wood–Ljungdahl carbon fixation pathway.
(A) One molecule of CO2 (red) is reduced to a methyl group
in a series of folate-dependent reactions, catalyzed by five enzymes,
to produce CH3-H4folate, the substrate of MeTr.
MeTr and B12-containing CFeSP form a complex to transfer
the methyl group to the Co(I) center of the B12 cofactor,
forming a CH3–Co(III) intermediate. CFeSP then delivers
the methyl group to the Ni–Fe–S A-cluster of ACS, reducing
the B12 cobalt back to the Co(I) state. ACS subsequently
catalyzes formation of acetyl-CoA by combining the methyl group with
CoA and CO, itself derived from a second molecule of CO2 (blue) by the action of carbon monoxide dehydrogenase (CODH). Intermittent
oxidation of the reactive Co(I) state of B12 causes inactivation
to the Co(II) state. CFeSP can be reactivated by an electron that
is transferred from the CFeSP Fe4S4 cluster
to the B12 cobalt. (B) CFeSP is a heterodimer of a small
(light blue) and a large (green) subunit consisting of a B12, central, and Fe4S4 domain.[9] MeTr is a homodimer (pink/magenta), with each monomer containing
a CH3-H4folate binding site.[10,11] (C) Crystal structures of CFeSP/MeTr in complex exhibit 2:1 stoichiometry,
with CFeSP (cyan) making equivalent interactions on either side of
MeTr (pink).[9] (D) A model for a CFeSP/MeTr
complex with 1:1 stoichiometry can be generated by removing one CFeSP
from the structure shown in (C).The interaction between MeTr and CFeSP lies at
a crucial junction
in the Wood–Ljungdahl pathway. In the so-called Eastern branch
of the pathway, a series of folate-dependent enzymes catalyzes the
reduction of one CO2 to the methyl group of methyltetrahydrofolate
(CH3-H4folate). The Western branch of the pathway
begins with MeTr, which binds CH3-H4folate and
transfers the methyl group to the cobalt center of a vitamin B12 derivative (5′-methoxybenzimidazolyl cobamide) harbored
by CFeSP. To enable this first B12-dependent methyl transfer
step, the direct interaction between CFeSP and MeTr is required to
position the cobalt center of the B12 cofactor within bonding
distance of the methyl group from CH3-H4folate.
Crystallographic analysis has revealed that MeTr from is a 57 kDa homodimer of (β/α)8 triosephosphate isomerase (TIM) barrels, each of which may
bind one molecule of CH3-H4folate,[10,11] while CFeSP is an 83 kDa heterodimer consisting of a small subunit
with a TIM barrel fold and a large subunit with three domains connected
by linkers: an N-terminal domain that harbors an Fe4S4 cluster, a central TIM barrel domain, and a C-terminal B12-binding domain (Figure 1B).[9] Crystal structures of CFeSP/MeTr complexes show
that two CFeSPs are bound to a central MeTr homodimer (Figure 1C). Together, these interactions lead to a catalytically
competent domain arrangement, in which the B12 domain is
able to swing freely from a resting state, where reactive B12 species (Co(I) and CH3-Co(III)) are protected by the
CFeSP small subunit, to a catalytic state, where B12 is
positioned above the MeTr active site for methyl transfer.[9,12,13]To complement these crystallographic
data and explore the interactions
of CFeSP/MeTr components
under different solution conditions, we employed anaerobic SAXS. SAXS
is a solution-based structural technique that can provide both stoichiometric
and structural information in the analysis of multispecies systems.[14−16] Deconvolution of multispecies SAXS data, however, is complicated
by the challenges of obtaining high-quality data while avoiding overinterpretation.[17] Here, we present a global analysis approach
for the deconvolution of mixtures formed by weakly interacting proteins
of known structure and further support this analysis with isothermal
titration calorimetry (ITC). Our results show that under all protein
concentrations tested, MeTr maintains homodimeric association, while
CFeSP remains a heterodimer of large and small subunits. Unexpectedly,
however, when CFeSP and MeTr are mixed, two distinct CFeSP/MeTr complexes
are observed with different subunit compositions, whose distributions
are dependent upon the solution conditions. These results highlight
the utility of SAXS in gaining unique insight into the solution behavior
of transient protein–protein interactions observed by crystallography.
Results
Solution Conformations of Free MeTr and CFeSP
Prior
to the characterizations of MeTr and CFeSP in complex, SAXS measurements
were made of free MeTr and CFeSP under previously established in vitro assay conditions (50 mM Tris-HCl pH 7.6, 100 mM
NaCl, 2 mM dithiothreitol)[18] at protein
concentrations near the physiological value[7] of ∼50 μM (corresponding to mass per volume concentrations
of 2.9 and 4.2 mg/mL for MeTr and CFeSP, respectively). To assess
data quality and determine the overall radius of gyration, Rg, which is a function of spatial size, the
obtained data were plotted as Guinier curves, ln(I) versus q2, where I is the scattering intensity and q is a function
of scattering angle.[19] The resultant Guinier
curves display linearity at low q (Figure 2A,B), indicating that for both proteins Rg (determined from the slope) is well-defined
at all concentrations and that interparticle effects, including those
associated with radiation damage, are negligible. Molecular weight
determination from these data by a Porod invariant method[20] gave 53 and 83 kDa for MeTr and CFeSP, respectively,
in excellent agreement with the actual values of 57 kDa for MeTr homodimer
and 83 kDa for CFeSP heterodimer determined from their protein sequences
and metal compositions.[21,22]
Figure 2
Guinier analysis of MeTr
and CFeSP on their own and mixed. (A)
Guinier plot of 50–400 μM MeTr under assay conditions.
(B) Guinier plot of 25–150 μM CFeSP under assay conditions.
(C,D) The corresponding radii of gyration (Rg) determined from the slopes of the Guinier plots are linear
with respect to protein concentration. Linear extrapolation to infinite
dilution gives Rg values of 27.6 ±
0.4 and 31.1 ± 0.7 Å for MeTr and CFeSP, respectively, in
good agreement with theoretical values determined from crystal structures.[9,11] (E) Guinier plot for the CFeSP titration (0–150 μM)
into MeTr homodimer (fixed at 50 μM) under assay conditions.
(F) Guinier plot for same titration as in (E) but under crystallization
conditions. All Guinier plots show linearity in this low q range.
Guinier analysis of MeTr
and CFeSP on their own and mixed. (A)
Guinier plot of 50–400 μM MeTr under assay conditions.
(B) Guinier plot of 25–150 μM CFeSP under assay conditions.
(C,D) The corresponding radii of gyration (Rg) determined from the slopes of the Guinier plots are linear
with respect to protein concentration. Linear extrapolation to infinite
dilution gives Rg values of 27.6 ±
0.4 and 31.1 ± 0.7 Å for MeTr and CFeSP, respectively, in
good agreement with theoretical values determined from crystal structures.[9,11] (E) Guinier plot for the CFeSP titration (0–150 μM)
into MeTr homodimer (fixed at 50 μM) under assay conditions.
(F) Guinier plot for same titration as in (E) but under crystallization
conditions. All Guinier plots show linearity in this low q range.For both proteins, minimal concentration dependence
was observed
in Rg, indicating that their respective
oligomerization states do not change over the investigated ranges
(Figure 2C,D). Linear extrapolation to infinite
dilution[19] yields an Rg value of 27.6 ± 0.4 Å for MeTr, in good agreement
with the theoretical value of 26.9 Å calculated from the previously
reported crystal structure of the MeTr homodimer.[11] Furthermore, the theoretical scattering profile calculated
from the crystal structure generates an excellent fit to the experimental
scattering data (Figure 3A, black solid curve).
Likewise, the extrapolated Rg value of
31.1 ± 0.7 Å for CFeSP is consistent with the theoretical
value calculated from the previously reported structure of a homologous
CFeSP from (12) (30.2 Å) as well as those calculated
from individual CFeSPs extracted from structures of the CFeSP/MeTr complex (30.1–30.4
Å).[9] While these CFeSP structures
depict the B12 and Fe4S4 domains
in different positions (Figure 3C), consistent
with the mechanistic proposals that require domain movements for catalysis,[9,12,13] all structural models generate
excellent fits to the experimental scattering up to a maximum q of 0.25 Å–1, suggesting that they
are nearly indistinguishable at this resolution (25 Å) (Figure 3B). Ensemble fitting was not attempted in order
to avoid overinterpretation of the data. Instead, a CFeSP model extracted
from the crystal structure of the folate-free CFeSP/MeTr complex[9] which provided a slightly better fit over the
others was used in the following analyses (Figure 3B).
Figure 3
Model fitting to the scattering of free MeTr and CFeSP under assay
conditions. (A) The theoretical profile (black solid) of the homodimeric MeTr crystal structure[11] fits well to experimental data obtained from
470 μM MeTr (dark blue with error bars shown in cyan), while
that of just one MeTr monomer (black dashed) gives a poor fit. (B)
Theoretical profiles of the three CFeSP models (shown in C, with same
coloring) are nearly superimposable with each other at 25 Å resolution
(i.e., q < 0.25 Å–1). MtCFeSP from the folate-free structure[9] provides the best fit (lowest √χ2) to the experimental curve (dark blue with error bars shown in cyan)
obtained by merging low q data from 19 μM CFeSP,
which exhibited minimal interparticle effects, and high q data from 230 μM CFeSP. (C) Crystal structures depict CFeSP
in three different conformational states: CFeSP (MtCFeSP) extracted from structures of CFeSP/MeTr
in the folate-free (black ribbons) and folate-bound (green ribbons)
states[9] and a structure of a homologous
CFeSP from (ChCFeSP) (pink).[12] When
aligned by the small subunit (light blue in Figure 1B but not shown here for clarity), these structures differ
most in the positions of the mobile B12 (magenta sticks)
and Fe4S4 (orange spheres) domains due to their
inherent mobility.
Model fitting to the scattering of free MeTr and CFeSP under assay
conditions. (A) The theoretical profile (black solid) of the homodimeric MeTr crystal structure[11] fits well to experimental data obtained from
470 μM MeTr (dark blue with error bars shown in cyan), while
that of just one MeTr monomer (black dashed) gives a poor fit. (B)
Theoretical profiles of the three CFeSP models (shown in C, with same
coloring) are nearly superimposable with each other at 25 Å resolution
(i.e., q < 0.25 Å–1). MtCFeSP from the folate-free structure[9] provides the best fit (lowest √χ2) to the experimental curve (dark blue with error bars shown in cyan)
obtained by merging low q data from 19 μM CFeSP,
which exhibited minimal interparticle effects, and high q data from 230 μM CFeSP. (C) Crystal structures depict CFeSP
in three different conformational states: CFeSP (MtCFeSP) extracted from structures of CFeSP/MeTr
in the folate-free (black ribbons) and folate-bound (green ribbons)
states[9] and a structure of a homologous
CFeSP from (ChCFeSP) (pink).[12] When
aligned by the small subunit (light blue in Figure 1B but not shown here for clarity), these structures differ
most in the positions of the mobile B12 (magenta sticks)
and Fe4S4 (orange spheres) domains due to their
inherent mobility.Three-dimensional ab initio molecular
envelopes
for both MeTr and CFeSP were reconstructed from SAXS data collected
at 100 μM protein concentration (Table 1). The crystal structure of homodimeric MeTr[11] fits well into the elongated molecular envelope for this protein
(Figure 4A). The reconstructed envelope of
CFeSP features three lobes, which align well with the core domains
of CFeSP, composed of the small and large subunit TIM barrels and
the B12 domain (Figure 4B). Unsurprisingly,
the mobile Fe4S4 domain, which has only been
visualized crystallographically with stabilizing intermolecular contacts,[9,12,13] was not visible in this averaged
model obtained by SAXS. While small disordered features are observed
in the individual shape reconstructions that could represent the Fe4S4 domain in multiple conformations (Figure S1), the loss of these features with averaging
is consistent with the absence of a localized position for this domain.
Table 1
Shape Reconstruction Statisticsa
MeTr
CFeSP
1:1 complex
figure
4A
4B
4C
protein
concentration (μM)
100
100
150
q range
(Å–1)
0.015–0.229
0.022–0.221
0.031–0.238
real space range (Å)
0–88
0–90
0–100
GNOM total estimate
0.633
0.669
0.742
shape reconstruction
dammif 1.1.1
dammif 1.1.1
dammif
1.1.0
symmetry
P2
P1
P1
√(χ2)
2.188–2.197
2.145–2.146
1.185–1.186
no.
of models averaged/total
20/20
19/20
10/10
Damaver
NSD (var.)
0.992 (0.269)
0.669 (0.043)
0.811 (0.048)
All measurements were under assay
conditions (50 mM Tris-HCl pH 7.6, 100 mM NaCl, 2 mM dithiothreitol).
Experimental scattering profiles were converted into inputs for shape
reconstructions in GNOM with reasonable total estimate scores.[28]
Figure 4
SAXS-derived ab initio shape reconstructions depicting
solution conformations of MeTr and CFeSP, free and in complex under
assay conditions. (A) The molecular envelope reconstructed from 100
μM MeTr aligns well with the crystal structure of the homodimer,[11] shown as pink and orange ribbons. (B) Likewise,
the molecular envelope of 100 μM CFeSP aligns well with a CFeSP
structure extracted from a crystal structure of the CFeSP/MeTr complex,[9] shown as blue and green ribbons for the small
and large subunits, respectively. The Fe4S4 cluster
is shown as orange spheres and B12 in magenta sticks. (C)
The molecular envelope reconstructed from a 150 μM equimolar
solution of the CFeSP heterodimer, and the MeTr homodimer aligns well
with the core domains of the 1:1 complex (ribbons, same coloring as
in (A,B)). Shape reconstructions statistics are provided in Table 1.
SAXS-derived ab initio shape reconstructions depicting
solution conformations of MeTr and CFeSP, free and in complex under
assay conditions. (A) The molecular envelope reconstructed from 100
μM MeTr aligns well with the crystal structure of the homodimer,[11] shown as pink and orange ribbons. (B) Likewise,
the molecular envelope of 100 μM CFeSP aligns well with a CFeSP
structure extracted from a crystal structure of the CFeSP/MeTr complex,[9] shown as blue and green ribbons for the small
and large subunits, respectively. The Fe4S4 cluster
is shown as orange spheres and B12 in magenta sticks. (C)
The molecular envelope reconstructed from a 150 μM equimolar
solution of the CFeSP heterodimer, and the MeTr homodimer aligns well
with the core domains of the 1:1 complex (ribbons, same coloring as
in (A,B)). Shape reconstructions statistics are provided in Table 1.All measurements were under assay
conditions (50 mM Tris-HCl pH 7.6, 100 mM NaCl, 2 mM dithiothreitol).
Experimental scattering profiles were converted into inputs for shape
reconstructions in GNOM with reasonable total estimate scores.[28]
Relative Molar Concentrations of Subunits
For the accurate
stoichiometry determination of CFeSP and MeTr in complex, the relative
molar concentrations of the individual subunits must be well-defined.
The molar ratio of the protein stock solutions was therefore determined
spectroscopically by the Rose–Bengal method[23] and confirmed with the zero-angle scattering intensity, I(0), determined by SAXS. When the oligomerization state
is known, I(0) is approximately proportional to the
molar protein concentration, c, and the molecular
weight squared, MW2.[24]I(0) was determined from linear fits to Guinier curves for
each protein at three different protein concentrations under assay
conditions. For both proteins, I(0)/MW2 values derived from SAXS show a linear relationship with c, determined spectroscopically (Figure 5), confirming that their respective oligomerization states
do not change with protein concentration. Furthermore, the plots for
MeTr and CFeSP share the same slope, indicating that the molar ratio
of the two proteins is consistent between the spectroscopic assay
and SAXS.
Figure 5
Correlation of relative MeTr and CFeSP concentrations obtained
by SAXS with those obtained spectroscopically. The molecular-weight-normalized
forward scattering intensities from SAXS, I(0)/MW,[2] linearly correlate with the spectroscopically
determined molar concentration, c, indicating that
oligomerization states do not change with increasing protein concentrations.
Points for MeTr and CFeSP are nearly colinear, indicating that their
SAXS-derived and spectroscopically determined relative concentrations
are in agreement.
Correlation of relative MeTr and CFeSP concentrations obtained
by SAXS with those obtained spectroscopically. The molecular-weight-normalized
forward scattering intensities from SAXS, I(0)/MW,[2] linearly correlate with the spectroscopically
determined molar concentration, c, indicating that
oligomerization states do not change with increasing protein concentrations.
Points for MeTr and CFeSP are nearly colinear, indicating that their
SAXS-derived and spectroscopically determined relative concentrations
are in agreement.
Complex Formation under Assay Conditions
To characterize
complex formation by SAXS, simply mixing the components at the expected
stoichiometries is insufficient for a number of reasons. As protein
associations are concentration dependent, single measurements may
not capture a homogeneous solution of fully associated complexes,
and the polydispersity of a solution cannot be easily determined from
single scattering profiles. Furthermore, complexes may adopt unanticipated
subunit stoichiometries in solution. Finally, there is a danger of
overfitting multicomponent data.Therefore, to investigate the
complex formation of CFeSP and MeTr, we generated a series of scattering
curves collected over a subunit titration experiment and implemented
a global analysis approach to identify the minimum set of species
represented by the data. CFeSP was titrated into 50 μM MeTr
under assay conditions such that the molar ratio of the two proteins
spanned a wide range. Reasonable linearity was observed in the resultant
Guinier curves (Figure 2E), indicating that
the solutions can be considered dilute and absent of radiation damage
and, hence, that the scattering profiles can be approximated as linear
combinations of the scattering contributions of individual species.In our global analysis, an ensemble of possible species is first
generated based on experimentally known structures. Theoretical scattering
curves of these species are calculated from atomic coordinates in
CRYSOL,[25] and all possible linear combinations
are fit to the titration data in OLIGOMER.[26] The significant species present in the data are identified by determining
the minimum subensemble that satisfies three criteria. First, the
goodness-of-fit parameter, χ2, must be both globally
minimized (i.e., across the entire titration) as well as be meaningfully
reduced relative to other subensembles. Since increasing the number
of species in a fit often leads to a better fit, the latter condition
prevents overfitting. Second, the residuals from the fits must be
flattened across the entire data set (i.e., show no significant dependence
on q or the molar ratio of the subunits). Finally,
the resultant volume fractions of each species from the fits must
show physically reasonable dependence on the molar ratios of the subunits.
Because fitting sums of scattering form factors to experimental data
does not take into account subtle interparticle interactions, we emphasize
that the volume fractions are apparent and should not be taken as
precise quantities. In particular, errors arise due to interparticle
excluded volume effects, which lead to apparent decreases in Rg that are manifested as an underestimation
in the volume fraction of large species and an overestimation in the
fraction of small species. In our global analysis approach, overinterpretation
of the data is thus avoided by considering trends in apparent volume
fractions rather than the individual values for any single scattering
curve.For fitting the titration data, an ensemble of four possible
species
was considered, including the three crystallographically observed
species: a “2:1 complex” as depicted in the CFeSP/MeTr
crystal structures,[9] where two CFeSP heterodimers
are bound to one central MeTr homodimer (Figure 1C), and the uncomplexed proteins, which, as described above, are
represented well by a MeTr crystal structure[11] and a CFeSP model extracted from a CFeSP/MeTr crystal structure,[9] respectively (Figures 3 and 4A,B). Because the CFeSP/MeTr crystal
structures show that each CFeSP binds to analogous sites on either
side of the MeTr homodimer, a “1:1 complex” in which
only a single CFeSP is bound to the MeTr homodimer was also included
in the ensemble (Figure 1D).Different
linear combinations of the four species were fit to the
titration data over the q range 0.018–0.160
Å–1, and the √χ2 values
reported by OLIGOMER[26] are shown in Figure 6. As expected, linear combinations of the uncomplexed
proteins alone generate poor fits to the data (Figure 6A, black circles). While fitting the 2:1 complex with the
uncomplexed proteins reduces the √χ2 values
(Figure 6A, white circles), the residuals display
significant q dependence (Figure
S2, top). Significant √χ2 reduction
is observed when the 1:1 complex is included in the linear combinations
(colored curves in Figure 6A and close up in 6B), particularly at high [CFeSP], suggesting that
complex formation cannot be adequately described without this species.
Here, a three-species fit consisting of the uncomplexed proteins and
the 1:1 complex leads to both low √χ2 values
(Figure 6B, green diamonds) and low residuals
(Figure S2, middle), while the addition
of the 2:1 complex to this combination leads to only negligible changes
in the goodness of fit (Figure 6B, blue circles
and Figure S2, bottom). By comparison,
omitting free CFeSP from these linear combinations has a greater effect
with respect to √χ2 values (Figure 6B, red diamonds and orange circles) than omitting
the 2:1 complex. Together, these results suggest that only three significant
species are present under these conditions: free MeTr, free CFeSP,
and the 1:1 complex. The assignment of three significant species under
assay conditions is further supported by singular value decomposition
(SVD) analysis, a model-independent matrix factorization method[14,24] (Figure S3A).
Figure 6
Global χ2 minimization of multispecies fitting
to scattering data obtained in the titration of CFeSP (0–150
μM) into MeTr homodimer (fixed at 50 μM) under assay conditions.
(A) Fits shown include: free MeTr + free CFeSP (black circles), free
MeTr + free CFeSP + 2:1 complex (white circles), free MeTr + 1:1 complex
(red diamonds), free MeTr + 1:1 complex + 2:1 complex (orange circles),
free MeTr + free CFeSP + 1:1 complex (green diamonds), and free MeTr
+ free CFeSP + 1:1 complex + 2:1 complex (blue circles). (B) Close
up of colored curves in (A).
Global χ2 minimization of multispecies fitting
to scattering data obtained in the titration of CFeSP (0–150
μM) into MeTr homodimer (fixed at 50 μM) under assay conditions.
(A) Fits shown include: free MeTr + free CFeSP (black circles), free
MeTr + free CFeSP + 2:1 complex (white circles), free MeTr + 1:1 complex
(red diamonds), free MeTr + 1:1 complex + 2:1 complex (orange circles),
free MeTr + free CFeSP + 1:1 complex (green diamonds), and free MeTr
+ free CFeSP + 1:1 complex + 2:1 complex (blue circles). (B) Close
up of colored curves in (A).Linear combinations of free MeTr, free CFeSP, and
the 1:1 complex
generate excellent fits to the scattering profiles (Figure 7A), and the corresponding apparent volume fractions
display physically reasonable trends over the course of the titration
(Figure 7C). As CFeSP is added, free MeTr is
consumed to form the 1:1 complex. The 1:1 complex is maximally formed
at equimolar concentrations of CFeSP and MeTr homodimer (Figure 7C, dotted line), consistent with the equimolar subunit
stoichiometry. Likewise, the volume fractions of the uncomplexed proteins
intersect near the equimolar point. These physically reasonable trends
are obtained by fitting just three species, consistent with the SVD
and √χ2 analysis described above. When a fourth
species, the 2:1 complex, is included in the fitting, the resultant
volume fractions for this species are negligible, as expected (Figure S4B). Thus, instead of forming a 2:1 complex
to any appreciable extent, a buildup of unbound CFeSP is observed
in the presence of excess CFeSP (Figure 7C
and S4B). Importantly, physically reasonable
trends are lost when incorrect combinations of species are fit. For
example, a three-species fit with the 2:1 complex and the uncomplexed
proteins results in a physically impossible trend with maximum free
CFeSP at low CFeSP concentrations (Figure S4A).
Figure 7
Determination of subunit stoichiometry in the complex formation
of MeTr and CFeSP. (A) Scattering profiles for the titration of 0–150
μM CFeSP into MeTr homodimer (50 μM) under assay conditions.
Profile colors range from red to violet (bottom to top) and indicate
increasing CFeSP concentrations. Linear combinations of free MeTr,
free CFeSP, and the 1:1 complex fitted to the data (shown in black)
and corresponding √χ2 values were obtained
with the program OLIGOMER.[26] (B) Scattering
profiles for the titration described in (A) but under crystallization
conditions fitted with linear combinations of free MeTr, free CFeSP,
the 1:1 complex, and the 2:1 complex (black). (C) Plot of deconvolution
results for CFeSP titration performed under assay conditions. Blue
circles represent free MeTr homodimer, green circles represent free
CFeSP heterodimer, and red circles represent the 1:1 complex (Figure 1D). Dashed vertical lines are visual guides for
50 and 100 μM CFeSP concentrations. (D) Plot of deconvolution
results for CFeSP titration under crystallization conditions, with
symbols and lines as described in (C). Black circles represent the
2:1 complex. The volume fractions are apparent values (see text).
Determination of subunit stoichiometry in the complex formation
of MeTr and CFeSP. (A) Scattering profiles for the titration of 0–150
μM CFeSP into MeTr homodimer (50 μM) under assay conditions.
Profile colors range from red to violet (bottom to top) and indicate
increasing CFeSP concentrations. Linear combinations of free MeTr,
free CFeSP, and the 1:1 complex fitted to the data (shown in black)
and corresponding √χ2 values were obtained
with the program OLIGOMER.[26] (B) Scattering
profiles for the titration described in (A) but under crystallization
conditions fitted with linear combinations of free MeTr, free CFeSP,
the 1:1 complex, and the 2:1 complex (black). (C) Plot of deconvolution
results for CFeSP titration performed under assay conditions. Blue
circles represent free MeTr homodimer, green circles represent free
CFeSP heterodimer, and red circles represent the 1:1 complex (Figure 1D). Dashed vertical lines are visual guides for
50 and 100 μM CFeSP concentrations. (D) Plot of deconvolution
results for CFeSP titration under crystallization conditions, with
symbols and lines as described in (C). Black circles represent the
2:1 complex. The volume fractions are apparent values (see text).To deconvolute interparticle effects from the SAXS
data, equimolar
mixtures of CFeSP heterodimer and MeTr homodimer were diluted from
150 to 25 μM under assay conditions. A slight and linear increase
in Rg is observed with dilution, consistent
with the release of interparticle excluded volume effects (Figure 8, red). Linear extrapolation to infinite dilution
yields an Rg of 35.5 ± 0.5 Å,
which is in excellent agreement with the theoretical value of 34.5
Å for the 1:1 complex, while much smaller than the theoretical Rg for the 2:1 complex of 43.5 Å. Likewise,
a molecular envelope reconstructed from data collected at 150 μM
agrees well with the model of the 1:1 complex (Figure 4C). Only the B12 and Fe4S4 domains protrude slightly from the reconstruction density, again
consistent with the CFeSP/MeTr crystal structures, where these domains
are mobile, exhibiting higher crystallographic B-factors
and weaker electron density.[9] These results
suggest that under assay conditions, the 1:1 complex is largely associated
at the examined protein concentrations. By comparison, when the NaCl
concentration is increased by an additional 100 mM (to a final concentration
of 200 mM), Rg decreases nonlinearly at
protein concentrations below 50 μM, indicative of subunit dissociation
(Figure 8, black). The sensitivity to ionic
strength also suggests the presence of a salt bridge contributing
to the stability of the 1:1 complex.
Figure 8
Rg concentration
dependence in presence
of 25–150 μM equimolar mixtures of the CFeSP heterodimer
with the MeTr homodimer. Under assay conditions (red circles), the Rg values show a slight linear decrease with
increasing concentration, indicating that neither dissociation nor
higher order oligomerization occurs over this concentration range.
Linear extrapolation to zero concentration to eliminate volume exclusion
effects gives Rg of 35.5 ± 0.5 Å,
which agrees well with the theoretical value of 34.5 Å for the
1:1 complex (Figure 1D). Increasing the ionic
strength to a total NaCl concentration of 200 mM (black diamonds)
leads to partial dissociation below protein concentrations of 50 μM.
Above 50 μM, the Rg values follow
the same trend as that seen under assay conditions, suggesting that
the 1:1 CFeSP/MeTr complex is favored even at increased ionic strength.
Rg concentration
dependence in presence
of 25–150 μM equimolar mixtures of the CFeSP heterodimer
with the MeTr homodimer. Under assay conditions (red circles), the Rg values show a slight linear decrease with
increasing concentration, indicating that neither dissociation nor
higher order oligomerization occurs over this concentration range.
Linear extrapolation to zero concentration to eliminate volume exclusion
effects gives Rg of 35.5 ± 0.5 Å,
which agrees well with the theoretical value of 34.5 Å for the
1:1 complex (Figure 1D). Increasing the ionic
strength to a total NaCl concentration of 200 mM (black diamonds)
leads to partial dissociation below protein concentrations of 50 μM.
Above 50 μM, the Rg values follow
the same trend as that seen under assay conditions, suggesting that
the 1:1 CFeSP/MeTr complex is favored even at increased ionic strength.
Thermodynamics of Negative Cooperativity under Assay Conditions
Surprisingly, the preference for the formation of the 1:1 complex
over the 2:1 complex observed under assay conditions implies that
the binding of CFeSP to one of two equivalent sites on the MeTr homodimer
disfavors binding of the second CFeSP. To test for the presence of
negative cooperativity, anaerobic ITC was performed under assay conditions,
and data from multiple subunit titration experiments were globally
fit with the program Sedphat.[27] When binding
of two CFeSPs to MeTr is assumed to be noncooperative, a poor fit
to the data is observed (Figure 9, red curves).
The simplest model that describes the data yields two very different
dissociation constants for the first and second binding events of
7.7 and 111 μM, respectively (Figure 9, black curves). In this model, the difference in binding free energy
is attributed to an increased entropic cost (−TΔΔS of 1.56 kcal/mol) for the second
binding event.
Figure 9
ITC analysis of subunit binding cooperativity under assay
conditions.
(A) Raw measured heat changes as a function of time injecting 800
μM MeTr into 83 μM CFeSP and (B) corresponding normalized
measured heats of injection. (C) Raw measured heat changes as a function
of time injecting 153 μM CFeSP into 10.95 μM MeTr and
(D) corresponding normalized measured heats of injection. A global
analysis of the data assuming noncooperative binding of CFeSP to MeTr
yields a poor fit (red lines in B and D, χ2 = 8.60).
Allowing for cooperativity in the global model leads to a significantly
improved fit (black lines in B and D, χ2 = 1.65),
yielding an enthalpy change of ΔH of 4.9 [4.1–6.1]
kcal/mol for the 1:1 complex and Kds of
7.7 [4.4–12.8] and 111 [90–143] μM for the first
and second binding events, respectively. Uncertainties are asymmetric
95% confidence intervals.
ITC analysis of subunit binding cooperativity under assay
conditions.
(A) Raw measured heat changes as a function of time injecting 800
μM MeTr into 83 μM CFeSP and (B) corresponding normalized
measured heats of injection. (C) Raw measured heat changes as a function
of time injecting 153 μM CFeSP into 10.95 μM MeTr and
(D) corresponding normalized measured heats of injection. A global
analysis of the data assuming noncooperative binding of CFeSP to MeTr
yields a poor fit (red lines in B and D, χ2 = 8.60).
Allowing for cooperativity in the global model leads to a significantly
improved fit (black lines in B and D, χ2 = 1.65),
yielding an enthalpy change of ΔH of 4.9 [4.1–6.1]
kcal/mol for the 1:1 complex and Kds of
7.7 [4.4–12.8] and 111 [90-143] μM for the first
and second binding events, respectively. Uncertainties are asymmetric
95% confidence intervals.
Complex Formation under Crystallization Conditions
Although a 1:1 CFeSP/MeTr complex is predominant under assay conditions,
crystal structures of CFeSP and MeTr in complex depict a 2:1 stoichiometry.
Thus, we investigated whether complex formation is affected by the
presence of the crystallization precipitant in solution. The subunit
titration experiment was repeated in a solution that mimics the crystallization
conditions, a 2:1 volumetric mixture of the assay conditions and the
crystallization precipitant: 100 mM bis-Tris pH 6.5, 100 mM calcium
acetate, 9% polyethylene glycol monomethylether (PEG MME) 5000, and
20% glycerol.[9] CFeSP was titrated into
50 μM MeTr under crystallization conditions, yielding reasonably
linear Guinier curves as before (Figure 2F).
Linear combinations of the uncomplexed proteins, the 1:1 complex,
and the 2:1 complex described above provide good fits to the scattering
profiles (Figure 7B). The existence of four,
rather than three, significant species is supported by SVD analysis
(Figure S3B). Again, the apparent volume
fractions of each species display physically reasonable trends with
increasing CFeSP concentration (Figure 7D).
As in the previous titration experiment under assay conditions, free
MeTr is consumed to form CFeSP/MeTr complexes as CFeSP is added. However,
under crystallization conditions, both 1:1 and 2:1 complexes are formed.
At low CFeSP:MeTr ratios, the 1:1 complex is favored, while the larger
2:1 complex becomes favored in the presence of excess CFeSP (Figure 7D).To further compare the two titration experiments
(Figure 7A,B), scattering profiles were converted
into pair-distance distributions, P(r), by the indirect Fourier transform method implemented in GNOM[28] (Figure 10A). The maximum
dimension, Dmax, was determined by allowing P(r) to naturally approach zero without
constraints. Under assay conditions, Dmax values do not exceed 100 Å (the maximum dimension of the 1:1
complex) even with excess CFeSP (Figure 10A,
blue curves). However, under crystallization conditions, Dmax increases smoothly to 140 Å, while the peak position
remains largely unchanged (Figure 10A, red
curve), consistent with the presence of an elongated species similar
in length to the 2:1 complex. These results lend additional support
to the deconvolution analyses, which indicate that the 1:1 complex
is the dominant form in solution under assay conditions, while the
2:1 complex can additionally be formed under crystallization conditions.
Figure 10
Pair-distance
distribution, P(r), plots of species
in CFeSP/MeTr mixtures. (A) Under assay conditions,
the maximum particle dimensions, Dmax,
for the free subunits are <100 Å and consistent with the crystal
structures of the individual proteins.[9,11]Dmax values for CFeSP/MeTr mixtures also do not exceed
100 Å under assay conditions (blue curves), while Dmax extends to ∼140 Å under crystallization
conditions (red curve). This result is consistent with the 1:1 CFeSP/MeTr
complex being the largest species under assay conditions, even in
the presence of excess CFeSP (blue dashed curve), and the appearance
of the 2:1 CFeSP/MeTr complex under crystallization conditions. (B)
Titration of PEG MME 5000 into a solution with 100 μM CFeSP
and 50 μM MeTr leads to an increase in Dmax from ∼100 Å toward ∼140 Å. At the
maximum PEG concentration tested, 12%, even higher order oligomerization
is detected (Dmax > 150 Å). For
comparison,
the PEG MME 5000 concentration is 3% in the crystallization condition.
Pair-distance
distribution, P(r), plots of species
in CFeSP/MeTr mixtures. (A) Under assay conditions,
the maximum particle dimensions, Dmax,
for the free subunits are <100 Å and consistent with the crystal
structures of the individual proteins.[9,11]Dmax values for CFeSP/MeTr mixtures also do not exceed
100 Å under assay conditions (blue curves), while Dmax extends to ∼140 Å under crystallization
conditions (red curve). This result is consistent with the 1:1 CFeSP/MeTr
complex being the largest species under assay conditions, even in
the presence of excess CFeSP (blue dashed curve), and the appearance
of the 2:1 CFeSP/MeTr complex under crystallization conditions. (B)
Titration of PEG MME 5000 into a solution with 100 μM CFeSP
and 50 μM MeTr leads to an increase in Dmax from ∼100 Å toward ∼140 Å. At the
maximum PEG concentration tested, 12%, even higher order oligomerization
is detected (Dmax > 150 Å). For
comparison,
the PEG MME 5000 concentration is 3% in the crystallization condition.In a separate experiment, we examined the contributions
of each
ingredient of the crystallization condition to the oligomerization
state of the CFeSP/MeTr complex. Each ingredient was individually
added to 2:1 molar mixtures of CFeSP and MeTr. Of all ingredients,
a major effect on the oligomerization state was observed only with
PEG MME 5000, a macromolecular crowding agent present at a final concentration
of 3% w/v in the crystallization condition. Increasing the concentration
of PEG MME 5000 up to 9% leads to a Dmax approaching 140 Å, indicative of the formation of the 2:1 complex
(Figure 10B). Further increasing the PEG MME
5000 concentration to 12% leads to an additional peak exceeding a Dmax of 140 Å, suggestive of even higher-order
oligomerization or nonspecific aggregation (Figure 10B, purple curve).
Discussion
Using anaerobic SAXS and ITC, we have probed
the quaternary organizations
of CFeSP and MeTr components of B12-dependent methyl transfer,
both alone and in complex. We find that although CFeSP and MeTr maintain
their respective heterodimeric and homodimeric associations when alone
in solution, two different CFeSP/MeTr structures are possible upon
complex formation. Under assay conditions, the complex with 1:1 stoichiometry
is strongly favored, leaving one MeTr active site unused. The observed
ionic strength dependence suggests that specific CFeSP–MeTr
interactions, composed of a salt bridge and hydrogen bonds, are intact
in the 1:1 complex (Figure 10A,B). However,
under the CFeSP/MeTr crystallization conditions, both 1:1 and 2:1
complexes form, the latter of which resembles the CFeSP/MeTr crystal
structure and is preferred at excess CFeSP concentrations. Further
analysis indicates that formation of the 2:1 complex is enabled by
PEG, a macromolecular crowding agent in the crystallization solution.
While crowding is well-known to promote homo-oligomeric association,[29] to the best of our knowledge, these results
represent the first example of a hetero-oligomeric complex in which
the subunit stoichiometry is affected by crowding.Negative
cooperativity was unexpectedly observed in the binding
of CFeSP to MeTr under solution conditions that are used to assay
enzyme activity,[9,18] while such behavior is lost in
the presence of PEG. With CFeSP able to bind opposing sides of the
MeTr homodimer, the molecular basis for negatively cooperative behavior
is not immediately obvious. Closer consideration of the crystal structures
of the 2:1 complex, however, shows that each CFeSP makes both specific
and nonspecific interactions with MeTr (Figure 11A),[9] and while the sites of the specific
interactions are far removed from each other on the different ends
of the MeTr homodimer (Figure 11A,B), the locations
of the nonspecific interactions are adjacent (Figure 11C). In particular, these nonspecific interactions are made
between the Fe4S4 domain of CFeSP and the hydrophobic
patches on the sides of MeTr, placing the otherwise mobile Fe4S4 domains of both CFeSPs side by side in close
proximity (Figures 11A,C). Thus, in the absence
of a macromolecular crowding agent, the placement of a second CFeSP
Fe4S4 domain adjacent to the first may be unfavorable,
leading to the observed negativity cooperativity. Such a mechanism
is supported by our ITC analysis, which indicates that the negative
cooperativity can be explained by an increased entropic cost for the
binding of a second CFeSP to a 1:1 complex.
Figure 11
Interaction interfaces
between CFeSP and MeTr observed in crystal
structures of the complex.[9] (A) The small
subunit and the Fe4S4 domain of each CFeSP (cyan)
interact with MeTr (pink) at two distinct locations. CFeSP binds specifically
to sites on opposing sides of the MeTr homodimer (red ☆) and
makes nonspecific interactions with closely spaced hydrophobic regions
on the TIM barrel walls (blue ○). (B) Close-up view of the
specific CFeSP binding site on MeTr (☆ in (A)), consisting
of hydrogen bonds and a salt bridge between Glu203 of the CFeSP small
subunit and Lys257 of MeTr. (C) Nonspecific CFeSP–MeTr interactions
are made by hydrophobic residues on the CFeSP Fe4S4 domains and the MeTr TIM barrel walls (○ in (A)).
Interaction interfaces
between CFeSP and MeTr observed in crystal
structures of the complex.[9] (A) The small
subunit and the Fe4S4 domain of each CFeSP (cyan)
interact with MeTr (pink) at two distinct locations. CFeSP binds specifically
to sites on opposing sides of the MeTr homodimer (red ☆) and
makes nonspecific interactions with closely spaced hydrophobic regions
on the TIM barrel walls (blue ○). (B) Close-up view of the
specific CFeSP binding site on MeTr (☆ in (A)), consisting
of hydrogen bonds and a salt bridge between Glu203 of the CFeSP small
subunit and Lys257 of MeTr. (C) Nonspecific CFeSP–MeTr interactions
are made by hydrophobic residues on the CFeSP Fe4S4 domains and the MeTr TIM barrel walls (○ in (A)).It is interesting to consider whether this negative
cooperativity
in the binding of CFeSP to MeTr will occur in the organism or whether
in the crowded cellular environment of this mildly thermophilic acetogen
both 1:1 and 2:1 complexes will form. Importantly, both 1:1 and 2:1
CFeSP/MeTr complexes are active. Here, our data show that the solution
conditions used in activity assays[9,18] give rise
to the 1:1 complex, meaning that published kinetic data for this methyl
transfer reaction are reporting the activity of the 1:1 complex. Previously,
we have used a spectroscopic assay to show that crystals that consist
solely of the 2:1 complex are active.[9] Thus,
although activities of solution and crystallized proteins cannot easily
be kinetically compared, both complexes may have physiological relevance.
While the 2:1 complex is more efficient in terms of utilizing both
MeTr active sites, CFeSP must also partner with other enzymes in the
Wood–Ljungdahl pathway. Negative cooperativity may have importance
in pathway dynamics by allowing for more efficient dissociation of
methylated CFeSP from MeTr and facilitate its binding to acetyl-CoA
synthase (ACS) to perform the subsequent methyl transfer step.
Conclusion
The ability of CFeSP and MeTr to form protein–protein
complexes
with differing oligomeric states is intriguing in terms of the potential
biotechnological applications of the Wood–Ljungdahl pathway.
This pathway, used by acetogens for autotrophic growth on CO in addition
to CO2/H2,[1,2] is receiving renewed
attention for possible application in the clean production of desirable
multicarbon compounds, such as biofuels, from industrial waste gases
or synthesis gases produced from renewable biomass.[4,5,30,31] Our work suggests
that the protein–protein interactions made by MeTr, CFeSP,
and ACS are sensitive to protein expression levels and may be important
variables in optimizing such engineering efforts. Finally, our work
underscores the importance of distinguishing protein interactions
in the crystal, in solution, and in the cell. Solution behavior revealed
by SAXS provides a first step toward understanding the detailed but
static information gained by crystallography in a physiological context.
Experimental Procedures
Protein Expression and Purification
CFeSP was expressed
and purified anaerobically from ATCC 39073 as described,[21] except for
the following modifications: All anaerobic procedures were performed
in a Vacuum Atmospheres chamber, under conditions of perpetual O2 concentration below 2 ppm. CFeSP was purified from cell extracts
from ∼160 g of wet cell weight of cells using an initial DEAE-cellulose
resin and subsequent high-resolution Q-sepharose anion exchange chromatography
followed by phenyl-sepharose hydrophobic interaction chromatography.
Fractions containing CFeSP were analyzed by SDS-PAGE and concentrated
and buffer exchanged using Amicon Ultra centrifugal concentrators
in an anaerobic chamber (Coy Laboratories). The enzyme was characterized
and assayed by UV–vis absorption spectroscopy by measuring
the oxidation and methylation states of the cobamide, using an Applied
Photophysics anaerobic UV–vis spectrophotometer. MeTr was expressed
and purified aerobically from recombinant as described[10] and
made anaerobic by buffer exchange in the anaerobic chamber after purification.
The concentrations of CFeSP and MeTr protein samples were determined
using the Rose–Bengal method,[23] and
the proteins were stored in assay buffer (50 mM Tris-HCl, pH 7.6,
100 mM NaCl, 2 mM dithiothreitol). All molar protein concentrations
are dimeric concentrations (i.e., MeTr homodimer and CFeSP heterodimer).
Samples were of the same as-isolated form as previously used in crystallization
of CFeSP/MeTr complexes,[9] with the CFeSP
B12 cobalt atom primarily in the Co(II) oxidation state.
SAXS
SAXS was performed at the Cornell High Energy
Synchrotron Source (CHESS) G1 station using a 250 mm square X-ray
beam with a flux of several 1012 photons/s/mm2 at 9.6 or 10.5 keV. Data were collected at room temperature on a
custom 1024 × 1024 pixel CCD detector similar to that described
previously[32] with a sample-to-detector
distance of ∼1 m. All samples were prepared in an anaerobic
chamber (Coy Laboratories) under a N2/H2 atmosphere
(94%/6%). For ab initio shape reconstructions of
MeTr and CFeSP and for determination of relative protein concentrations,
the protein solutions and matching buffers were contained in 2 mm
path length acrylic cells (ALine Inc.) with 7.5 μm Kapton windows
(Chemplex)[33] that were sealed with epoxy
within the anaerobic chamber to maintain anaerobic conditions prior
to data collection. To prevent potential oxygen permeation through
the Kapton windows, which occurs over long time scales (>15 min),
each acrylic cell was stored in an individual airtight container,
which was not opened until immediately before data collection. The
oxygen permeability of epoxy-sealed Kapton windows was tested separately
by monitoring the oxidation of reduced methyl viologen solution with
a microscpectrophotometer described previously.[9] The time course of the methyl viologen absorbance indicates
that over 5–10 min (the maximum duration that the SAXS cells
were exposed to air), the samples remain ∼95% as anaerobic
as initial conditions. For all other experiments, epoxy-sealed glass
and boron-rich glass X-ray capillaries (Charles Supper) of similar
path lengths were used instead. While glass capillaries are not ideal
sample cells for SAXS, they provide superior oxygen impermeability
compared to the acrylic cells, as assessed by use of methyl viologen,
and display sufficiently low parasitic scattering at low q relative to the protein scattering.Several 1 and 2 s exposures
were taken separated by 10 s pauses, where the entire sequence did
not exceed 5 min per sample. Exposures that did not display apparent
radiation-induced changes were averaged after previously described
image correction procedures.[33] The corrected
scattering images were integrated about the beam center and normalized
by the transmitted intensities measured by a PIN diode beamstop.[33] Background scattering was subtracted from the
protein solution scattering to produce the one-dimensional protein
scattering profile, I(q), as a function
of q, where q = 4π/λ
sin θ; 2θ is the scattering angle, and λ is the
X-ray wavelength.A Guinier approximation was applied to the
low q region of the scattering profile:where the radius of gyration, Rg, and the forward scattering intensity, I(0), were determined from a linear fit to the Guinier plot, ln(I) vs q2, for the q range that satisfies the q·Rg <1.3 condition.[34]The pair distance distribution function, P(r), was calculated from the experimental I(q) with the indirect Fourier transform method[19] implemented in the program GNOM.[28] The maximum electron pair distance (i.e., maximum protein
dimension), Dmax, was chosen where P(r) naturally approached zero without
constraints.[19] Low q data
points that exhibited interparticle interference and high q data points with low signal-to-noise were omitted from
this procedure. Low-resolution models of protein structures were generated
from the GNOM outputs with a high-resolution limit of q·Rg∼8 using the ab
initio reconstruction program, DAMMIF.[35] The program DAMAVER[36] was used
to align ab initio models, reject outliers, and average
to produce the most probable models. Averaged models were aligned
to crystal structures in the program SUPCOMB20.[37]Theoretical scattering curves and Rg values were calculated from atomic coordinates using
CRYSOL.[25] To generate the coordinates of
the 1:1 complex,
one of the two CFeSPs was simply removed from the structure of the
2:1 complex. Missing side chains in coordinate files were automatically
generated in CNS,[38] and crystallographic
heteroatoms were removed. For experiments with MeTr and CFeSP alone,
theoretical scattering curves were fit to experimental scattering
curves in CRYSOL (over the q range 0.018–0.25
Å–1),[25] whereas
linear combinations of theoretical scattering curves were fitted to
titration data using a non-negative least-squares fitting algorithm
implemented in the program OLIGOMER:[26]where I(q) and v are the theoretical scattering curve and the apparent volume
fraction for the ith species, and N is the number of species. High q regions
of the data (q > 0.16 Å –1), which are sensitive to the quality of background subtractions,
were omitted in this analysis. The cutoff for the maximum q was determined by comparisons of data collected in flat
window cells and capillaries.SVD analysis was used to determine
the minimum number of significant
species.[14,24] Using MATLAB (The MathWorks), a matrix of
data, A, with columns consisting of scattering intensities
for 50 μM MeTr, 25–75 μM CFeSP, and 50 μM
MeTr + 10–150 μM CFeSP was decomposed as follows:where the columns of the matrix U contain
the singular vectors (referred to as SVD states) and the SVD coefficients
are the product of the singular value matrix, Σ, with the conjugate
transpose of V.
ITC
ITC experiments were performed at 20 °C using
a VP-ITC Micro Calorimeter (Microcal LLC, Northampton, MA, USA) installed
in a Vacuum Atmospheres anaerobic chamber. MeTr and CFeSP were buffer
exchanged into a modified assay buffer (50 mM Tris-HCl, pH 7.6, 100
mM NaCl, 0.5 mM dithiothreitol) using dialysis tubing under anaerobic
conditions. In one experiment, 800 μM MeTr was titrated into
83.4 μM CFeSP, and in the other, 153 μM CFeSP was titrated
into 10.95 μM MeTr. Collected data were initially processed
with Microcal Origin. Global analysis of the processed data was performed
in Sedphat[27] using a two-symmetric-site
model. The reported uncertainties are 95% confidence intervals.
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