Peter D.
Giang
a,
Dimitri
Niks
b,
Sheron
Hakopian
b,
Russ
Hille
b and
Paul V.
Bernhardt
*a
aSchool of Chemistry and Molecular Biosciences, University of Queensland, Brisbane 4072, Australia. E-mail: p.bernhardt@uq.edu.au
bDepartment of Biochemistry, University of California, Riverside, USA
First published on 4th March 2025
Formate dehydrogenase (FdsDABG) from Cupriavidus necator is a Mo-containing enzyme capable of catalysing both formate oxidation to CO2 and the reverse CO2 reduction to formate by utilising NAD+ or NADH, respectively. This enzyme is part of the NADH dehydrogenase superfamily. Its subcomplex, FdsBG, lacking the formate oxidizing/CO2-reducing Mo-cofactor, but harbouring an FMN as well as [2Fe–2S] and [4Fe–4S] clusters, reversibly interconverts the NAD+/NADH redox pair. UV-vis spectroelectrochemistry across the range 6 < pH < 8 determined the redox potentials of these three cofactors. Cyclic voltammetry was used to explore mechanistic and kinetic properties of each oxidation- and reduction-half reaction. Through mediated enzyme electrochemistry experiments, the Michaelis constant for NADH oxidation (KM,NADH = 1.7 × 102 μM) was determined using methylene blue as a redox mediator. For the reverse NAD+ reduction reaction using methyl viologen as electron donor a similar analysis yielded the value of KM,NAD+ = 1.2 mM. All experimental voltammetry data were reproduced by electrochemical simulations furnishing a set of self-consistent rate constants for the catalytic FdsBG system for both NAD+ reduction and NADH oxidation. This comprises the first electrochemical kinetic analysis of its kind for a reversible NADH dehydrogenase enzyme and provides new insight to the function of the FdsDABG formate dehydrogenase holoenzyme.
One enzyme of particular interest is the Mo-containing formate dehydrogenase (FdsDABG) from the Gram-negative soil bacterium Cupriavidus necator (C. necator), which is air-stable, can reversibly catalyse both formate oxidation to CO2 and CO2 reduction to formate, and is also a member of the NADH dehydrogenase family.19 Given its stability and catalytic ability, FdsDABG has been explored in biotechnological applications.20–22 Cryo-EM studies of FdsDABG from Rhodobacter capsulatus (R. capsulatus), which shares high sequence homology with FdsDABG from C. necator, revealed the spatial disposition of these cofactors within the heterotetrameric protomer which is illustrated in cartoon form in Fig. 1.23 The FdsA subunit (105 kDa) contains the molybdenum centre (the site of formate oxidation and CO2 reduction), one [2Fe–2S] cluster and four [4Fe–4S] clusters. The FdsB subunit (55 kDa) contains one [4Fe–4S] cluster and a flavin mononucleotide (FMN), which is the NADH/NAD+ binding site. The FdsG subunit (19 kDa) contains a single [2Fe–2S] cluster.24 The small (7 kDa) FdsD subunit (not shown in Fig. 1) has no redox-active cofactors but is thought to be involved in Mo cofactor maturation and insertion.25
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Fig. 1 Cartoon representation of the FdsA, FdsB, and FdsG subunits and their respective cofactors of FdsDABG from C. necator. The FdsD subunit is not shown as it does not contain any cofactors. |
The combination of structural complexity and relative oxygen tolerance of FdsDABG has prompted investigations into its mechanism and function.26 Recent redox characterisation of the cofactors in C. necator FdsDABG was achieved through a combination of EPR-monitored redox potentiometry and optical spectroelectrochemistry on both the holoenzyme FdsDABG and its subcomplex FdsBG.27 The FdsBG subcomplex has also been crystallographically characterised.24 A partial redox characterisation of the homologous FdsDABG from R. capsulatus has subsequently been reported.28
The focus of this study is electrochemical activation of the FdsBG subcomplex as a reversible NAD+/NADH oxidoreductase. Isolated FdsBG exhibits NADH:O2 oxidoreductase (diaphorase) activity,24 although within the FdsDABG holoenzyme the native function of the (reduced) FMN cofactor is to reduce NAD+ rather than oxidise NADH. The system thus presents an ideal example of a bidirectional NADH/NAD+ redox system. To date, investigations into NAD+ reduction and NADH oxidation have only been performed through steady-state and stopped flow single-turnover kinetic experiments.19,22,24,26 The electrochemical approach taken here removes the need for chemical reductants (dithionite) which may obscure important spectroscopic information. We have also explored the use of both single- and two-electron redox mediators and have undertaken a full kinetic analysis using electrochemical simulations. This study represents a new approach to expensive nicotinamide recycling, which remains an area of considerable biotechnological importance.29,30 The mechanistic information emerging from this analysis reveals previously inaccessible kinetic data that not only explains the high NADH/NAD+ recycling activity of the FdsBG subcomplex but also the FdsDABG holoenzyme.
![]() | (1) |
For two electron redox reactions, eqn (2) applies where E1 and E2 are the potentials of the first and second reductions. Aox, Aint, and Ared are the absorbances at a given wavelength of the three redox states.
![]() | (2) |
The potential-dependent spectra were modelled by global analysis with ReactLab Redox39 that fits the potential dependent absorbance data (at all wavelengths) to eqn (1) and (2). These data are collected in Table 1. All experimental data are given in the ESI (Fig. S2)† with spectral analyses at pH 6 (Fig. S3†) and pH 8 (Fig. S4†).
pH 6 | pH 7 | pH 7.5 (ref. 27) | pH 8 | |
---|---|---|---|---|
a Tentative assignment of the more negative [2Fe–2S]2+/+ redox potential to deflavo-FdsBG. | ||||
[4Fe–4S]2+/+ | — | −0.45 | −0.49 | −0.48 |
FMN/FMNH˙ | −0.24 | −0.25 | −0.30 | −0.32 |
FMNH˙/FMNH− | −0.31 | −0.34 | −0.38 | −0.37 |
[2Fe–2S]2+/+ (deflavo forma) | −0.12 (−0.15) | −0.15 (−0.19) | −0.13 (−0.21) | −0.13 (−0.20) |
The electroactive surface of the glassy carbon electrode was calculated from the cyclic voltammogram of 1 mM ferrocene methanol in 0.1 M KCl solution at multiple scan rates using the Randles–Sevcik equation (eqn (3)).40 The diffusion coefficient (D) of ferrocene methanol is 6.7 × 10−6 cm2 s−1,41ip is the CV current maximum, n is the number of electrons (here n = 1), C is the concentration of analyte (mol cm−3), and υ is the sweep rate (V s−1). The surface area was determined to be A = 0.056 cm2.
ip = 2.69 × 105D1/2n3/2ACυ1/2 | (3) |
The diffusion coefficients of the methyl viologen dication/radical monocation (MV2+/+˙) and the methylene blue monocation/neutral leuco form (MB+/MBH) were also determined using eqn (3) and the above value of A in a similar fashion. Linear regression of ipversus υ1/2 gave values of D(MV2+/+˙) = 3.8 × 10−6 cm2 s−1 and D(MB+/MBH) = 2.1 × 10−6 cm2 s−1, which are consistent with published work.42,43
![]() | (4) |
For NAD+ reduction experiments, to each of the above buffer solutions (2.5 mL) was added methyl viologen (12.5 μL of 10 mM) to give a final concentration of 60 μM. The solution was purged with N2 for a few minutes, the gas inlet tube was withdrawn from the solution and a blanket of N2 was maintained throughout the experiment. FdsBG was added (5 μL of 178 μM) to give a final concentration of 0.34 μM (active enzyme) after gently mixing with a magnetic stirrer (50 rpm). Stirring was discontinued and a CV was measured at a scan rate of 5 mV s−1 which was used as a baseline measurement (zero activity). Under a blanket of N2, NAD+ (125 μL of 100 mM) was added and mixed with a magnetic stirrer for 10 min under a blanket of N2 to give a 5 mM solution. Stirring was discontinued and the CV was measured.
The above procedure was repeated for all buffer solutions at their pH value. The differences in cathodic current at −0.55 V vs. NHE with and without NAD+ was taken as the value of imax and these data as a function of pH were fit to eqn (5) which is applicable for an enzyme that is deactivated by protonation of a base at acidic pH values (pKa2) or deprotonation of an acid at basic pH values (pKa1), and iopt is the catalytic current at the optimal pH ((pKa1 + pKa2)/2).
![]() | (5) |
For NADH oxidation experiments, methylene blue (5 μL of 10 mM) was added to each of the above buffer solutions (2.5 mL) to give a final concentration of 20 μM. As above, the solution was purged with N2, the gas supply tube was withdrawn from the solution whilst maintaining a blanket of N2 then FdsBG was added (5 μL of 178 μM) to give a final concentration of 0.34 μM (active enzyme). A CV was measured then NADH (125 μL of 10 mM) was added with gentle stirring under a N2 blanket to give a final concentration of 500 μM. After 10 min stirring was discontinued and a CV was measured. This was repeated at each pH value and the current differences at +0.15 V vs. NHE with and without NADH were fit to eqn (5).
![]() | (6) |
Given the symmetry of the NAD+ reduction/NADH oxidation reaction (Scheme 1A and B), the main mechanistic differences between FdsBG-catalysed NAD+ reduction and NADH oxidation are that NAD+ reduction comprises two consecutive one-electron reductions by MV+˙ via an intermediate oxidation state (FdsBGint) while the 2-electron, MB-mediated NADH oxidation bypasses the intermediate FdsBG oxidation state. We have assumed the rates of the consecutive single electron transfer steps (k3/k4) are equal as their driving forces are essentially the same and the site of binding will be the same regardless of whether FdsBGox or FdsBGint is reacting. The two FMN redox potentials (FMN/FMNH˙ and FMNH˙/FMNH−) lie between those of the [2Fe–2S]2+/+ and [4Fe–4S]2+/+ couples (Table 1) and NAD+ reduction/NADH oxidation must occur at the fully reduced/oxidised FMN active site, respectively. The model does not consider redox reactions at the [2Fe–2S]2+/+ and [4Fe–4S]2+/+ cofactors (intermolecular of intramolecular) which are unproductive in terms of substrate turnover at the FMN cofactor.
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Fig. 2 The relative positions of the three redox active cofactors in FdsBG. Coordinates were taken from the published X-ray crystal structure (PDB 6VW7).24 |
The cofactor with most negative redox potential in FdsBG is the [4Fe–4S]2+/+ cluster, which has been characterised previously by UV-vis27 and EPR24 spectroscopy, while the [2Fe–2S]2+/+ cluster has the most positive potential. The closely spaced FMN/FMNH˙ and FMNH˙/FMNH− redox potentials lie between those of the two Fe–S clusters. The transition from fully oxidised to fully (four-electron) reduced FdsBG theoretically involves five different UV-vis spectra and four redox potentials. A simultaneous global fit of so many parameters is not practical. The redox potentials of the three cofactors are sufficiently well separated that the entire set of potential-dependent spectra could be broken into three sections (here designated ‘low’, ‘mid’ and ‘high’ potential) and analysed individually as one- or two-electron steps. All potential-dependent spectra are shown in the ESI (Fig. S2A–C)† and the three partially overlapping sections are illustrated in a single wavelength plot (at 460 nm) as a function of potential and pH (Fig. S2D†). This plot shows the stepwise decrease in absorbance at 460 nm upon reduction which is then reversed on oxidation. Data at pH 7 are shown in Fig. 3A–F, while remaining raw data and spectral analyses are in the ESI (Fig. S3 and S4).†
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Fig. 3 ReactLab redox spectral analysis for FdsBG (100 μM, pH 7) showing the (A) calculated spectra from the high potential region −0.26 < E < 0 V vs. NHE (red 1 and red 2 correspond to the one electron reduced flavo- and deflavo-FdsBG proteins); (B) calculated (broken lines) and experimental absorbances at 460 nm as a function of potential (E1 −0.11 V, E2 −0.19 V); (C) calculated spectra from the mid potential region −0.45 < E < −0.21 V; (D) calculated (broken line) and experimental absorbances at 460 nm as a function of potential (E1 −0.25, E2 −0.34 V); (E) calculated spectra from the low potential region −0.55 < E < −0.41 V; (F) calculated (broken line) and experimental absorbances at 425 nm as a function of potential (E1 −0.45 V). The mediators present (all 80 μM) are [Fe(trans-diammac)]3+, [Co(AMMEN4S2sar)]3+, [Co(AMMEN5Ssar)]3+, [Co(sep)]3+, [Co(AMMEsar)]3+, [Co(ClMeClAbsar)]3+ and [Co(cis-diammac)]3+. See ESI† for their chemical structures. The insets to panels (A, C and E) are the difference spectra calculated from the spectral data in each main panel. |
The [2Fe–2S]2+ cluster in the FdsG subunit is reduced first in a single electron reaction ([2Fe–2S]2+/+). However, as noted previously,24,27 this region comprises two closely separated one-electron steps due to the [2Fe–2S]2+/+ clusters of FdsBG and its deflavo form (i.e. lacking FMN), which comprises 50% of the total protein sample. The potential-dependent spectra were separated into two regions and modelled as independent one-electron redox reactions (eqn (1)) with the truncated potential ranges (yellow and blue dots in Fig. 3B) avoiding spectral overlap from the two chromophores as much as possible. The spectra in this region (Fig. 3A) are dominated by transitions from the underlying oxidised FMN cofactor, so changes due to [2Fe–2S]2+ cluster reduction are more clearly appreciated by viewing their difference spectra (Fig. 3A, inset) which show the difference maxima (at 571, 479 and 364 nm) characteristic of the [2Fe–2S]2+ cluster, given that the spectrum of reduced [2Fe–2S]+ is featureless.50–52 The absence of the FMN cofactor in deflavo-FdsBG evidently influences the redox potential of the [2Fe–2S] cluster but an unambiguous assignment of the two [2Fe–2S]2+/+ couples to holo-FdsBG or deflavo-FdsBG is difficult. It is known from X-ray crystallography24 that there is a significant conformational change going from holo-FdsBG to deflavo-FdsBG especially involving residues Asp184 and Glu185 (Fig. 2). No significant pH dependence of these potentials was found (Table 1).
FMN reduction was modelled as consecutive one-electron reactions (eqn (2)) at each pH value for the two half-potentials FMN/FMNH˙ and FMNH˙/FMNH−. However, the two couples are in proximity so the semiquinone FMNH˙ is unstable with respect to disproportionation to the fully oxidised (FMN) and reduced (FMNH−) forms. The calculated spectrum of the flavin semiquinone contributes minimally due to its negligible accumulation at all potentials. Previously reported time-resolved stopped flow measurements allowed the UV-vis and EPR spectra of the metastable transient FMNH˙ form to be captured24 which decayed rapidly (within seconds). Under the equilibrium conditions employed here there was no possibility of observing the semiquinone radical. Across the potential range −250 to −400 mV the prominent maxima from the FMN chromophore essentially vanish (Fig. 3C). The difference spectrum over this region between the fully oxidised and reduced flavin (Fig. 3C, inset) highlights the FMN chromophore with its characteristic maxima at 452 and 375 nm typical of oxidised flavin cofactors.53 One notable feature is that the change in molar absorptivity (Fig. 3C, inset) is only ∼5000 M−1 cm−1, which is approximately half of the expected value for reduction of a flavin chromophore. As mentioned above, the protein mixture comprises ca. 50% deflavo-FdsBG which accounts for the smaller than usual change in spectrum. As protonation accompanies reduction of FMN, the midpoint potentials shift negatively as the pH rises, but the observed shifts (Table 1) are small and much less than expected for a 2e−/2H+ reaction (−59 mV pH−1); the data are more consistent with an overall 2e−/H+ reaction (−29.5 mV pH−1). The pKa of FMNH˙ semiquinones in flavoproteins are typically too high to be measured potentiometrically54 so proton transfer accompanies the first reduction while the second electron transfer generates the monoanion.
For the [4Fe–4S]2+ cluster, a modest decrease in absorbance in the range 400–500 nm was apparent (Fig. 3E) upon electrochemical reduction, which is characteristic of a [4Fe–4S]2+ cluster.55–57 The difference spectrum (Fig. 3E, inset) accentuates this feature. Of the three chromophores present, the overall absorbance changes for the [4Fe–4S]2+ cluster were the smallest. A more challenging issue was that data collected at large negative potentials at pH 6 were compromised by hydrogen evolution (bubbles) in the spectral beam. For the remaining data, no significant change in the [4Fe–4S]2+/+ redox potential was observed between pH 7 and pH 8 (Table 1) including the published data at pH 7.5.27 Only a single potential-dependent spectral change was apparent so the [4Fe–4S]2+/+ potentials of the FdsBG holoprotein and its deflavo form must be very similar.
The cyclic voltammetry response of MV2+ with FdsBG gave the expected single electron, quasi-reversible MV2+/+˙ redox response (E′ = −0.43 V vs. NHE) with a peak-to-peak separation of 70 mV and anodic/cathodic peak current ratio of unity (Fig. 4A, black curve). Upon the addition of NAD+, the symmetrical MV2+/+˙ response changed initially to an asymmetric waveform then eventually to a sigmoidal shape accompanied by an approximately five-fold increase in cathodic current (Fig. 4A). This change in shape is indicative of an electrocatalytic (ECcat) mechanism. At high concentrations of NAD+ (>4 mM) a steady state is reached where the rate of FdsBG reduction by MV+˙ is equal to the rate of NAD+ turnover by reduced FdsBG. The limiting catalytic peak current (ilim) at −0.55 V vs. NHE as a function of NAD+ concentration was modelled with eqn (4) and an apparent Michaelis constant was calculated (KM,NAD+ = 1.2(1) mM, Fig. 4B). Biochemical analysis of the highly homologous FdsBG (from R. capsulatus) found a similar value for NAD+ reduction (KM,NAD+ 1.1 mM).25 As a control, in the absence of FdsBG, no enhancement of MV2+ cathodic current is seen upon addition of NAD+ (Fig. S5†).
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Fig. 4 (A) CVs of methyl viologen (60 μM) in buffer (50 mM phosphate, pH 7.5) containing FdsBG (0.34 μM) at increasing concentrations of NAD+ (0–6 mM). (B) Plot of baseline subtracted electrocatalytic limiting cathodic current (μA at −0.55 V vs. NHE) against NAD+ concentration and fit to eqn (4) (KM,NAD+ = 1.2(1) mM). |
The less negative redox potential mediator safranin T (Fig. S1,†E′ = −0.29 V vs. NHE, pH 7) gave no change in current as a function of NAD+ concentration (data not shown). Given that the redox potential of the NAD+/NADH couple (−0.32 V, pH 7)61 is more negative than safranin T this was not unexpected. However, simple thermodynamic arguments alone do not predict the rates of outer sphere electron transfer between mediator and FdsBG. The mediators [Co(ClMeClAbsar)]3+/2+ (−0.45 V vs. NHE), [Co(cis-diammac)]3+/2+ (−0.50 V, Fig. S1†) were also tested as mediators but neither could support FdsBG-catalysed NAD+ reduction. Clearly this is not a thermodynamic constraint as [Co(ClMeClAbsar)]2+ and [Co(cis-diammac)]2+ are similarly strong reductants as MV+˙ (−0.43 V). Furthermore, these complexes in their CoII state can reduce FdsBG as shown by UV-vis spectroelectrochemistry (Fig. 3 and ESI Fig. S2–S4†). In this case, the absence of a catalytic current is due to kinetic limitations where CoII-mediated reduction of FdsBG is too slow to sustain catalysis. The organic mediator MV2+/+˙ is flat and like NAD+/NADH may enter the binding pocket adjacent to the FMN cofactor for rapid electron transfer while the larger coordination complexes are hindered, and electron transfer is slowed significantly.
Methylene blue was found to be the most suitable electron acceptor for FdsBG-catalysed NADH oxidation. Voltammetry of MB+ alone resulted in the expected quasi-reversible two-electron redox response (E′ = +0.010 V vs. NHE, pH 7) with a peak-to-peak separation of 70 mV (Fig. S7†). The addition of NADH (in excess) resulted in no significant increase in current although the waveform became less peak-shaped (flattened). Thermodynamically, NADH (E′ −0.33 V, pH 7) is capable of reducing MB+ (ref. 62 and 63) and bulk reduction of MB+ to its colourless leuco form (MBH) was observed upon addition of excess NADH to the electrochemical cell. However, this reaction is slow on the voltammetric timescale as no enhancement in MBH oxidation current was found when NADH was added (Fig. S7†). Upon addition of FdsBG the anodic current increased as anticipated (Fig. S7†).
In the presence of FdsBG, the CV waveform of MB+ as a function of NADH concentration changed from symmetrical to the typical asymmetric catalytic shape paired with a significant increase in anodic current (Fig. 5A). At approximately 400 μM NADH, the catalytic anodic current reached saturation as expected for an enzyme-catalysed reaction and the cathodic peak of the wave vanished. The limiting catalytic peak current (ilim), corrected for the response of the mediator in the absence of NADH, was measured at +0.15 V vs. NHE as a function of NADH concentration (Fig. 5B), giving KM,NADH = 1.7(1) × 102 μM, (pH 7.5). Comparable biochemical data from the holoenzyme FdsDABG and the FdsBG subcomplex (C. necator) for NADH oxidation have been published with KM,NADH (or Kd,NADH) values of 46 μM22 and 1.9 × 102 μM,24 respectively. Data published for FdsBG (from R. capsulatus) reported a similar value of KM,NADH 1.3 × 102 μM.25
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Fig. 5 (A) Selected CVs of methylene blue (20 μM) (50 mM phosphate buffer, pH 7.5) containing FdsBG (0.34 μM) at increasing concentrations of NADH (0–600 μM). (B) Plot of baseline subtracted electrocatalytic limiting cathodic current (μA at +0.15 V vs. NHE) against NADH concentration and fit to eqn (4) (KM,NADH = 1.7(1) × 102 μM). |
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Fig. 6 pH dependence of FdsBG (0.34 μM) catalysed (A) NAD+ (5 mM) reduction mediated by methyl viologen (60 μM) the broken curve is obtained from a fit to the experimental data using eqn (5) (pKa1 = 8.4(1), pKa2 = 6.3(1)) and (B) NADH (500 μM) oxidation mediated by methylene blue (60 μM) the broken curve is obtained from a fit to the experimental data using eqn (5) (pKa1 = 7.9(2), pKa2 = 6.5(2)). All CV data were collected at a scan rate of 5 mV s−1. The voltammograms are shown in the ESI (Fig. S8).† |
The similarity of the profiles in Fig. 6A and B and the same pKa values found in the FdsDABG holoenzyme imply that acid–base reactions at the NAD+/NADH binding FMN site, common to both enzymes, underpin the pH dependence of both FdsBG and FdsDABG catalysis. As shown by the spectroelectrochemistry results (Table 1) the redox potentials of the [4Fe–4S] cluster and [2Fe–2S] cluster are almost pH-independent while the FMN potential shifts slightly more negative at higher pH. The redox potential of MV2+/+˙ is pH independent, so the electrochemical driving force of the reductant does not change with pH for the system in Fig. 6A. The redox properties of the two-electron oxidant/reductant MB+/MBH are pH-dependent but not straightforward;64 in the range 6 < pH < 9 the dependence is −29 mV pH−1 (ref. 65) which equates to a 2e−/1H+ reaction in accord with the monocation MB+ and neutral MBH forms being the redox active species.
The changes in cofactor and mediator redox potentials with pH are small and do not correlate with the data in Fig. 6A and B. The substrate NAD+/NADH redox potential (E′ −0.32 V vs. NHE at pH 7) is pH-dependent with a shift of −29 mV pH−1 unit.54 At high pH, reduction of NAD+ becomes thermodynamically and kinetically less favoured which may contribute to the drop in current on the basic limb of the profile but this does not explain the same trend apparent in the NADH oxidation profile as the MB+/MBH redox potential is always much more positive than the FMN/FMNH− (or NAD+/NADH) potential. Regarding the acidic limb of Fig. 6A, the X-ray crystal structure of FdsBG in complex with NADH (and in its absence) highlight several potential bases that may be involved in this modulation of activity. Two residues of interest are Asp184 and Glu185 (Fig. 2) which are close to the FMN group and form H-bonds (in their deprotonated forms) with the nicotinamide and/or FMN cofactor and protonation of these may disrupt the active site and weaken substrate binding. A more definitive explanation of the basic limbs of Fig. 6A and B remains the subject of further work.
Although electrochemical analysis of electrode-confined (adsorbed) enzymes can also provide useful kinetic information,42,66–69 an advantage of the present approach with all species in solution is that accurate enzyme concentrations are known, although consumption of enzyme can be significantly greater than experiments using electrode-confined enzyme. For FdsBG electrocatalysis experiments, the simulations were performed at multiple scan rates (2, 5, 10 and 20 mV s−1) and substrate concentrations (NAD+: 0–6 mM, NADH: 0–600 μM) guided by the data in Fig. 4 and 5. The rate constants defined in Scheme 1 and assembled in Table 2 reproduced the experimental voltammetry profiles across a range of scan rates, and substrate concentrations (Fig. 7 and 8).
Experimental and simulated CV data of MV2+ (60 μM), FdsBG (0.34 μM) and NAD+ (200 μM to 6 mM) at different scan rates are shown in Fig. 7. The theoretical aspects underpinning the changes in waveform in an enzyme-catalysed electrochemical system as a function of substrate concentration and scan rate are well described elsewhere70 and also applied to synthetic (non-enzymatic) electrocatalysis where they are conveniently graphically represented by so-called kinetic zone diagrams.44,71,72 In this case, competition between the enzyme–substrate reaction (a function of substrate concentration) and the enzyme–mediator reaction is the major cause of the changes in waveform here. Variations in scan rate can also affect the CV profile but in the systems studied here the scan rates were deliberately confined to a narrow range to avoid excessive charging currents relative to the faradaic currents at micromolar concentrations. All CVs fall into the so-called ‘pure kinetic zone’ with subtle changes in wave symmetry and shape attributable to substrate concentrations.
At low NAD+ concentrations (200–600 μM), asymmetric peak-shaped curves are found where NAD+ mass transport limits the cathodic current. As the NAD+ concentration reaches saturating levels (∼6 mM) sigmoidal waveforms emerge characteristic of an electrochemical steady state. The CVs under these conditions are essentially independent of scan rate as the rate of the FdsBGred:NAD+ reaction is at its maximum (limited by the turnover number). At faster scan rates (20 mV s−1) and low NAD+ concentrations (200 μM), production of MV+˙ at the electrode exceeds its rate of consumption by NAD+-oxidised FdsBG and an anodic peak due to unreacted MV+˙ reappears.
The CV data of MB+ (20 μM) in the presence of FdsBG (0.34 μM) and NADH (40–600 μM) at different scan rates are also shown (Fig. 8). Again, at slower scan rates (2, 5 mV s−1) and low NADH concentrations (<100 μM), an asymmetric waveform is observed indicative of substrate limited currents where NADH depletion from the reaction layer attenuates catalysis. At higher NADH concentrations, the observed and simulated waveforms are more symmetrical and sigmoidal in shape although NADH depletion is still apparent in all CVs in Fig. 8 from the peak-shaped anodic profiles which is indicative of slower substrate turnover.
The CV waveforms are also sensitive to the electron transfer stoichiometry. The two-electron MB+/MBH redox reaction shows noticeably steeper CV traces (Fig. 8) than the single-electron MV2+/+˙ couple (Fig. 7) and this translates into similarly shaped catalytic profiles as expected.40
The mediator-independent rate constants kox and kred obtained from the simulations are the same at 2.0 × 106 M−1 s−1, so the equilibrium constant for the reaction is unity. This is consistent with the midpoint potentials of the FMN cofactor (−0.34 V vs. NHE at pH 7.5)27 and the NAD+/NADH couple (−0.33 V at pH 7.5) being the same within experimental error, meaning that the reaction is not biased in either direction.61 However, the data in Fig. 4 and 5 reveal KM,NAD+ and KM,NADH values that differ by an order of magnitude. Following a typical Briggs–Haldane mechanism,73 the rate constants kred and kox are composites of substrate binding and turnover (Scheme 2) as expressed in eqn (7) and (8), respectively.
![]() | (7) |
![]() | (8) |
![]() | (9) |
![]() | (10) |
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Scheme 2 Substrate binding and turnover steps for NAD+ reduction and NADH oxidation by FdsBG. The rate constants are elaborated in eqn (7)–(10) below. |
Substituting the experimental values for KM,NAD+ (eqn (9)) and KM,NADH (eqn (10)) (see Fig. 4 and 5) and simulated kox/kred values (Table 2) into eqn (7) and (8) generates turnover numbers of k2,red (NAD+ reduction) = 2.4 × 103 s−1 and k2,ox (NADH oxidation) = 3.4 × 102 s−1. Pre-steady state kinetic investigations of FdsBG (C. necator)24 revealed a limiting rate of NADH oxidation (6.8 × 102 s−1 at 278 K) which greatly exceeded the corresponding rate of formate oxidation at the Mo active site by the FdsDABG holoenzyme.24 Also of note are the large outer sphere electron transfer rate constants of FdsBGox with MV+˙ (k3) and FdsBGred with MB+ (k5) showing MV+˙ and MB+ to be ideal artificial electron transfer partners. Electrochemical simulations with lower values for these rate constants could not produce the magnitudes of catalytic currents in Fig. 7 and 8 at saturating substrate concentrations regardless of substrate oxidation/reduction kinetics (kox and kred).
Footnote |
† Electronic supplementary information (ESI) available: Comprising structures of all redox mediators, optical spectroelectrochemistry data, cyclic voltammetry control experiments without enzyme and all electrochemical simulation parameters. See DOI: https://doi.org/10.1039/d5sc00570a |
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