Energetic constraints of metal-reducing bacteria as biocatalysts for microbial electrosynthesis

doi:10.21203/rs.3.rs-4184650/v1

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Energetic constraints of metal-reducing bacteria as biocatalysts for microbial electrosynthesis

https://doi.org/10.21203/rs.3.rs-4184650/v1

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Background

As outlined by the Intergovernmental Panel on Climate Change, we need to approach global net zero CO₂ emissions by approximately 2050 to prevent warming beyond 1.5°C and the associated environmental tipping points. Future MES systems could decrease net CO₂ emissions by capturing it from industrial sources. Microbial electrosynthesis (MES) is a process where electroactive microorganisms convert the carbon from CO₂ and reduction power from a cathode into reduced organic compounds. However, no MES system has attained an efficiency compatible with a financially feasible scale-up. To improve MES efficiency, we need to consider the energetic constraints of extracellular electron uptake (EEU) from an electrode to cytoplasmic electron carriers like NAD⁺. In many microbes, EEU to the cytoplasm must pass through the respiratory quinone pool (Q-pool). However, electron transfer from the Q-pool to cytoplasmic NAD⁺ is thermodynamically unfavorable. Here, we model the thermodynamic barrier for Q-pool dependent EEU using the well-characterized bidirectional electron transfer pathway of Shewanella oneidensis, which has NADH dehydrogenases that are energetically coupled to proton-motive force (PMF), sodium-motive force (SMF), or uncoupled. We also tested our hypothesis that Q-pool dependent EEU to NAD⁺ is ion-motive force (IMF)-limited in S. oneidensis expressing butanediol dehydrogenase (Bdh), a heterologous NADH-dependent enzyme. We assessed membrane potential changes in S. oneidensis + Bdh on a cathode at the single-cell level pre to post injection with acetoin, the substrate of Bdh.

Results

We modeled the Gibbs free energy change for electron transfer from respiratory quinones to NADH under conditions reflecting changes in membrane potential, pH, reactant to product ratio, and energetically coupled IMF. Of the 40 conditions modeled for each method of energetic coupling (PMF, SMF, and uncoupled), none were thermodynamically favorable without PMF or SMF. We also found that membrane potential decreased upon initiation of EEU to NAD⁺ for S. oneidensis on a cathode.

Conclusions

Our results suggest that Q-pool-dependent EEU is both IMF-dependent and is IMF-limited in a proof-of-concept system. Because microbes that rely on Q-pool-dependent EEU are among the most genetically tractable and metabolically flexible options for MES systems, it is important that we account for this thermodynamic bottleneck in future MES platform designs.

The Intergovernmental Panel on Climate Change’s Special Report: Global Warming of 1.5°C estimates that global temperatures will reach 1.5°C above their pre-industrial level between the years 2030 and 2052 with present warming rates.¹ To avoid reaching 1.5°C warming and future environmental tipping points, we need to decrease net greenhouse gas emissions, particularly CO₂.¹ One option for decreasing net CO₂ emission involves harnessing biological carbon-fixing reactions to convert inorganic carbon (e.g. CO₂) into organic carbon molecules. Some microorganisms can perform electrode-driven carbon fixation in a process called microbial electrosynthesis (MES). During MES, carbon from CO₂ is covalently bonded into organic carbon molecules with reducing power from an extracellular electrode.^2–5 On an industrial scale, MES systems could decrease net greenhouse gas emissions by recycling CO₂ waste into organic carbon products at major emission sources (Fig. 1A).^6,7

Organisms suitable for industrial scale MES span many genera; however, a pervasive issue preventing industrial scale-up is low current density (electrons/time/electrode area).^2,7,8 Certain autotrophic species, such as the chemoautotrophs Acetobacterium woodii and Sporomusa ovata, and the photoautotroph Rhodopseudomonas palustris, can perform MES, where electron flow from a cathode, a negatively-poised electrode, provides the reducing power required for carbon fixing reactions in a bioelectrochemical system (BES).^9–13 In their techno-economic assessment of CO₂-fed MES, Jourdin et al. (2020) estimated that MES systems will require a current density of -50 to -100 mA∙cm^− 2 to reach economic viability given present material and electricity costs.^7,8,14 To date, the highest current density reported for a pure culture MES system was − 17.5 mA∙cm^− 2, using A. woodii.^2,15 While MES current density magnitudes produced by wildtype autotrophic species remain incompatible with industrial scale-up, Claassens et al. (2019) estimated that an MES system with a thick (100 µm), metabolically active biofilm on a two-dimensional electrode could achieve a current density of -50 mA∙cm^− 2.¹⁶ Taken together, Jourdin et al. (2018 and 2020) and Claassens et al. (2019) indicate that an industrial-scale MES system could become financially feasible by optimizing extracellular electron uptake (EEU).^7,14,16,17

MES requires electron flow from a negatively-poised electrode (cathode) to bacteria. However, the natural direction for most species, from bacteria to positively-poised electrode (anode), has been more extensively studied. Bacteria able to reduce an anode, such as metal-reducing bacteria, have the metabolic flexibility and sufficiently robust electron transport pathways to respire via an extracellular terminal electron acceptor.¹⁸ The metal-reducing bacterium Geobacter sulfurreducens is an apt example of the magnitude of the anodic current density that can be achieved in a BES with a thick, electrically connected biofilm (~ 9,000 mA∙cm^− 2).¹⁹ While metal-reducing bacteria have yet to mirror their anodic current density magnitudes on a cathode, we can identify the bottlenecks that limit EEU from a cathode. Shewanella oneidensis, another metal-reducing bacterium has the most thoroughly characterized electron transport pathway of all metal-reducers, the Mtr pathway.^20–40 Because S. oneidensis’ Mtr pathway is well understood and bidirectional, it is an excellent system to study and improve EEU in metal-reducing bacteria.

During EEU, the path of electron flow is tied to an organism’s method of energy conservation, i.e., their mechanism of coupling a change in Gibbs free energy (ΔG) to replenish ATP.⁴¹ Ion-motive force (IMF) drives ion-gradient phosphorylation, allowing organisms to conserve energy by coupling exergonic redox reactions to endergonic ion-translocations.^10,42–48 These exergonic redox reactions from catabolism to final electron acceptor(s) also define the routes available for EEU. EEU occurs either through a series of conductive proteins in the cell membrane or via small molecules that can diffuse across lipid membranes, such as H₂ (Fig. 1B).^{2,6,10,11,13,20–22,41,49} While either method of extracellular electron transfer, diffusive or non-diffusive, could enable MES systems to reach economically viable current densities, their energetic constraints are distinct. H₂-mediated EEU in acetogens and methanogens relies on H₂ diffusion to soluble cytoplasmic hydrogenases (Fig. 1C).^10,11,17,50 H₂ evolution on a cathode is kinetically sluggish; the applied voltage must exceed the thermodynamically required magnitude, this is called overpotential.^51–53 A high overpotential means the system has a lower faradaic efficiency and a higher electricity cost per product unit.⁵³ Electrode materials can be altered to improve the kinetics of H₂ evolution and decrease the required overpotential, but this remains expensive.^52–58

In non-diffusive EEU, electrons cross lipid membranes using membrane integrated proteins and quinones, lipid-soluble redox-active molecules. ^59,60 Microbial respiratory chains flexibly combine various quinone reductases and quinol oxidases, but each combination shares the intermediate location, the quinone pool (Q-pool).^13,59–64 As discussed above, an organism’s electron transport chain is closely tied to its means of energy conservation. While some steps of the respiratory electron transport chain are freely reversible (ΔG ~ 0), the redox reactions that are coupled to IMF generation must be thermodynamically favorable (ΔG < < 0), and far from equilibrium. The thermodynamically favorable direction for electrons to flow is from a lower to higher reduction potential.^42,65,66 Ion-translocating NADH dehydrogenases are among the enzymes that couple electron transfers from low potential electron donors like NADH to reduce the Q-pool. Q-pool dependent EEU requires a reverse of this step, resulting in a thermodynamically unfavorable (ΔG > > 0) electron transfer.⁶⁷

In this work, we address an example of the thermodynamically unfavorable electron transfer in S. oneidensis expressing butanediol dehydrogenase (Bdh), as previously described by members of our group.⁶⁷ Bdh is an NADH-dependent enzyme, non-native to S. oneidensis, that converts acetoin to 2,3-butanediol.⁶⁷ Fig. 2 shows the free energy landscape for EEU in S. oneidensis + Bdh. For Steps 1–6 of EEU (Fig. 2), the free energy landscape favors EEU (net -ΔG). The ΔG available for Step 7 (Reaction 1) depends on the energy-coupling ability of the catalyzing NADH dehydrogenase. S. oneidensis has four NADH dehydrogenases, Nuo (H+-pumping), Nqr1 and Nqr2 (Na+-pumping), and Ndh (uncoupled).^68,69 When Reaction 1 occurs without energetic coupling, EEU is thermodynamically unfavorable in Step 7 (Fig. 2), however, when coupled with proton motive force (PMF) or sodium motive force (SMF), Reaction 1 shifts in the forward direction (as written) leaving the entire pathway thermodynamically favoring EEU (net -ΔG). To overcome the potential bottleneck in Reaction 1 that may limit Q-pool dependent MES, it is crucial that we identify the conditions under which this reaction becomes thermodynamically favorable for EEU. Q-pools contain multiple quinone species; however, we will assume menaquinone-7 (MQ)/menaquinol-7 (MQH₂) because it is required for 85% of EEU in S. oneidensis.^20,23 Menaquinone also has a lower redox potential than the other predominant quinone species, ubiquinone, and is therefore a better electron donor for NADH generation.⁷⁰

Given the free energy landscape for EEU in S. oneidensis + Bdh (Fig. 2), we expect NADH dehydrogenase activity to be thermodynamically favorable for EEU only when energetically coupled to IMF. To determine if IMF is thermodynamically required for EEU in S. oneidensis + Bdh, we calculated the multicompartment free energy for Reaction 1 under a range of biologically relevant conditions (variation in pH, reactant to product ratio, and membrane potential voltage). These ΔG calculations assume that Reaction 1 was catalyzed by either Nuo (4 H + per NADH), Nqr (2 Na + per NADH), or Ndh (uncoupled, 0 ions per NADH). In this way, we determined whether Reaction 1 can be driven forward (-ΔG) by manipulating contextual variables (e.g., by increasing electrode potential to over-reduce the quinone pool) or if a source of energetically coupled IMF is thermodynamically required.

We expect that EEU in S. oneidensis is not only IMF-dependent but also IMF-limited under biologically relevant conditions. By comparing the current densities supported by different sections of the Mtr pathway, we can hypothesize the location of the rate-limiting step for EEU. Our previous work, Tefft and TerAvest (2019) and Tefft et al. (2022), used a comparable BES set up; we observed current density for EEU to fumarate (|-8.7 µA∙cm^− 2|) that was approximately 14 times greater in magnitude than to cytoplasmic NAD⁺ (|-0.62 µA∙cm^− 2|), where IMF was supplied by proteorhodopsin (PR), a light-dependent proton pump. ^25,67 Prior to exiting the Q-pool, both electron transfer pathways include the freely reversible free energy landscape depicted in Fig. 2, Steps 1–6. The difference lies in the path through which electrons leave the Q-pool. Electron transfer from menaquinol to fumarate is catalyzed by fumarate reductase, a thermodynamically favorable reaction (ΔG'° = -11.9 ± 7.0 kJ∙mol^− 1) that does not depend on energetic coupling to IMF. ⁷¹ To determine if Q-pool dependent EEU is IMF limited, we used a fluorescence microscopy technique described by Pirbadian et al. (2020). ⁷² Pirbadian et al. (2020) showed that thioflavin T (ThT), a fluorescent cationic dye, can be used as a proxy for membrane potential in S. oneidensis imaged on a transparent electrode. As Fig. 2 demonstrates, when acetoin (the substrate of Bdh) is present, S. oneidensis + Bdh has an NADH-dependent electron acceptor in the cytoplasm. We imaged S. oneidensis + Bdh on a cathode while monitoring membrane potential change (ΔΦ), pre- to post-injection with either acetoin or water (the solvent control).

In this work, we used computational and experimental methods to further define the thermodynamic bottleneck that limits Q-pool dependent EEU, and by extension, Q-pool dependent MES systems.

Multicompartment Gibbs free energy calculations. We calculated the multicompartment free energy for Reaction 1. We calculated assuming either Nuo (4 H⁺ per NADH), Nqr1 (2 Na⁺ per NADH), or Ndh (uncoupled, 0 ions per NADH) catalyzed the reaction. Standard biochemical free energy (ΔG'°) calculations in a single cellular compartment use the assumption that reactants and products are in a uniform aqueous solution. However, when a reaction involves ion translocation across a membrane, the aqueous solutions on either side of the membrane cannot be assumed internally consistent.⁷¹ For reactions that involve ion translocation across a membrane, the compartment pH, ionic strength, electrical potential difference, and ion-transport stoichiometry should be included in the ΔG'° calculation. In this work, we calculated multicompartment ΔG'° using the eQuilibrator 3.0 Python-based Application Programming Interface (API).^71,73 eQuilibrator 3.0 API accounts for the changes in pH and charge between cellular compartments by adding an additional term to the standard biochemical free energy of the reaction, Δ_rG'°, to yield the multicompartment standard free energy (ΔG'°_{(multicompartment)}) formula in Eq. 1. The multicompartment free energy calculation is necessary because ions are transported from an initial compartment (the periplasm) to a final compartment (the cytoplasm).^71,74 N_H is the number of protons translocated, Q is the stoichiometric coefficient of charges transported, ΔpH is the pH difference between the periplasm and cytoplasm, F is Faraday’s constant (-96.5 kC∙mol^− 1), $\varDelta \varphi$ is the membrane voltage, R is the gas constant (8.31447 x 10^− 3 kJ ∙K^− 1∙mol^− 1), and T is temperature in Kelvin (289.15 K).^71,74,75 In Eq. 1, the difference between initial and final compartment pH, number of protons transported, stoichiometry of transported ions, and the ΔG'°_{(multicompartment)} values, calculated with Eq. 1, can be plugged into Eq. 2 to calculate the overall free energy change ΔG.

Biologically relevant parameter definitions. In the context of this work, ‘biologically relevant’ indicates that a value, or range of values, was chosen because it is physiologically relevant to bacteria that are neutrophilic and mesophilic. The percentage of reduced quinones in the Q-pool was assumed to be on the edge of the experimentally determined minimum and maximum, 0.1% reduced and 90% reduced, respectively.^76,77 The Mtr pathway in S. oneidensis primarily interacts with the quinone pair menaquinone/menaquinol via CymA in the inner membrane.⁷⁸ The reaction quotient for Reaction 1 is $\frac{\left[MQ\right]\left[NADH\right]}{\left[{MQH}_{2}\right]\left[{NAD}^{+}\right]}$, meaning that the ratio of [NAD⁺] to [NADH] is mathematically equivalent to [MQH₂] to [MQ] in Eq. 2. The ratio of NAD⁺ to NADH used in all free energy calculations was 15:1, representing an NAD(H) pool that is 93.7% oxidized. Because NAD + to NADH ratios remain difficult to measure accurately, we chose 15:1 because it favors EEU.^79,80 By assuming a consistent and highly oxidized NAD(H) pool, paired with either a highly oxidized or highly reduced Q-pool, we decreased the complexity of the modeled scenarios, while ensuring that we included the situations most likely to favor EEU for comparing the relative abilities of energetic coupling via Nuo, Nqr, and Ndh. R is the gas constant (8.31447 x 10^− 3 kJ ∙K^− 1∙mol^− 1), T is temperature in Kelvin (289.15 K), and free energy change is reported in units of kJ∙mol^− 1.⁷⁵

Bioelectrochemical system (BES) preparation. Pirbadian et al. (2020) demonstrated that the fluorescent cationic dye Thioflavin T (ThT) can be used to visualize membrane potential changes in S. oneidensis in response to extracellular electron transfer at an anode.⁷² In this work, we used a similar experimental set-up to Pirbadian et al. (2020) to visualize membrane potential changes during EEU for S. oneidensis on a cathode following a period of anodic electrode potential.⁷² Each single-chamber BES consisted of a borosilicate glass culture tube that was cut to approximately 7 cm in length from the flanged end. The working electrode was an indium-tin-oxide (ITO) coated glass cover slip measuring 22 x 40 mm with a thickness of 0.16 to 0.19 mm and a resistivity of 70–100 ohms (SPI Supplies, Thickness #1.5, Cat. # 06498-AB). A titanium wire was connected to the ITO slip with CCC carbon adhesive (Electron Microscopy Sciences, Cat. # 12664). The cut end of the culture tube was adhered to the center of the conductive side of the ITO slip with a two-part epoxy following manufacturer instructions (Polytec PT, Cat. # EP 653-T). To provide electrical insulation and structural support, the epoxy was also spread over remaining exposed portions of the ITO surface and the attachment point of the titanium wire. The counter electrode was a coiled titanium wire and the reference electrode was Ag/AgCl in saturated KCl in a glass tube with a magnesia stick frit (Sigma Aldrich, Cat. # 31408-1EA). The counter and reference electrodes were held in place and the BES sealed with a butyl rubber septum stopper.

Bacterial culture preparation and BES inoculation. We used the strain S. oneidensis MR-1 + pBBR1-Bdh (MR-1 + Bdh), created by Tefft and TerAvest (2019), for all microscopy experiments.³¹ The enzyme butanediol dehydrogenase (Bdh) was expressed constitutively on a plasmid conferring kanamycin resistance, pBBR1. For each biological replicate, we inoculated 5 ml of Miller’s Lysogeny Broth (LB) supplemented with kanamycin (kan, 50 µg∙ml^− 1) with a single colony of MR-1 + Bdh. Each culture grew to an OD₆₀₀ of 3.47 to 4.66. After growth in LB + kan, cultures were centrifuged (8,500 x g for 3 minutes) and resuspended in 50 ml of M5 minimal medium (1.29 mM K₂HPO₄, 1.65 mM KH₂PO₄, 7.87 mM NaCl, 1.70 mM NH₄SO₄, 475 µM MgSO₄·7H₂O, 100 mM HEPES, 50 µg∙ml^− 1 kanamycin, 1X Wolfe’s mineral solution (excluding both casamino acids and AlK(SO₄)₂·12 H₂O), and 1X Wolfe’s vitamin solution (excluding riboflavin) to wash cells.^31,43,53 Following the wash in minimal medium, the culture was again centrifuged (8,500 x g for 3 minutes), then standardized to an OD₆₀₀ of 0.2 in M5 minimal medium.

Electrochemical experiments with fluorescence monitoring. The BES was inoculated with 7 ml of the standardized culture of MR-1 + Bdh. The three-electrode, single-chamber BES was connected to a potentiostat (VMP, BioLogic USA) with the working electrode potential set to + 0.2 V vs a saturated Ag/AgCl reference electrode for 16 to 19 hours; during this time, 99.9% N₂ gas (Airgas) was bubbled into the BES. All medium was removed from the BES, barring 0.5 ml that remained to avoid drying cells on the ITO electrode.⁷² The BES was filled to a total of 8.5 ml of M5 minimal medium + 10 µM ThT and remained electrically connected to the potentiostat for 30 minutes prior to beginning fluorescence microscopy.

During microscopy, an anaerobic serum bottle was connected to the BES via neoprene tubing to prevent changes in pressure or oxygenation during injections. To prepare the anaerobic serum bottle, the container was autoclave sterilized, and filled with 50 ml of M5 minimal medium, 10 µM ThT, and 1 mM acetoin was sealed with a butyl rubber stopper and connected to two lines of sterile neoprene tubing. Nitrogen was bubbled into the bottle and tubing for a minimum of 16 hours. Due to the light sensitivity of ThT, the serum bottle was wrapped in aluminum foil during this time to prevent photodegradation. The three biological replicates that received a water injection rather than acetoin, used anaerobic bottles that contained M5 minimal medium + 10 µM ThT.

To determine if EEU to the cytoplasm is IMF-limited in S. oneidensis + Bdh, we imaged live cells on a transparent ITO electrode to measure membrane potential before and after injecting 0.17 ml of 50 mM acetoin (1 mM working concentration). Fluorescence images were acquired with an inverted Zeiss Axio Observer D1 microscope with a Plan-Apochromat 63x/1.40 Oil DIC objective. Each BES was connected to an anerobic bottle, prepared as described above. All florescence images for ThT were collected with the Zeiss Axio Observer D1 GFP filter cube. Once S. oneidensis cells were visualized on the ITO electrode, a portable potentiostat (Rodeostat, IO Rodeo) was connected for the following working electrode potentials (vs saturated Ag/AgCl reference electrode) and timeframes: +0.2 V (40 minutes), -0.5V (120 minutes). We collected electric current once per second with a single-channel three-electrode Rodeostat. We plotted all current vs time plots with a 60-second simple moving average. The first injection of either acetoin (1 mM) or water-control occurred at 70 minutes out of the total 160-minute time series. The second injection of either carbonyl cyanide m-chlorophenyl hydrazone (CCCP, 125 µM) or ethanol-control occurred at 130 minutes out of the total 160-minute timeseries. Each image time series had an interval of 2-minutes. All injections were prepared in an anaerobic chamber and transported in a BD GasPak System container.

Florescence Microscopy Image Analysis. Carl Zeiss image (CZI) files were processed with ImageJ version 1.53t. The background florescence was subtracted from each image using the default rolling ball radius setting (50.0 pixels) with smoothing disabled. ImageJ’s analysis tool ‘Analyze Particles’ was used to gather ThT fluorescence data for individual cells from each background subtracted image. The mean fluorescence intensity was calculated for every bacterial cell. Individual bacterial cell fluorescence was used to calculate the mean fluorescence of each timepoint. The collective average of the three biological replicates could then be calculated. The corresponding standard error of the mean (sem) for both the experimental (acetoin) and control (water) groups is also shown.

Statistical Analysis. We measured the intraexperiment response in ThT fluorescence (ΔThT) and electric current (ΔI) following injection with either acetoin or water. The pre-injection timeframe was 40 to 70 minutes, and the post-injection timeframe was 71 to 128 minutes. We evaluated statistical significance with an independent two-sample t-test. The null hypothesis assumption was that there would be no difference in either ΔThT or ΔI when comparing the experimental group (acetoin injection) to the control group (water injection). The cutoff for statistical significance was p < 0.05. Both the experimental and control groups had three independent biological replicates of S. oneidensis + Bdh. All additional data processing was done in Python with numpy 1.23.4, scipy 1.9.3, pandas 1.2.5, and matplotlib 3.6.0.

Reactions and Equations.

Reaction 1: The reaction for Figure 2, Step 7.

$$Menaquinol \left({MQH}_{2}\right)+{NAD}^{+} \underset{\iff }{NADH dehydrogenase }Menaquinone \left(MQ\right)+NADH+{H}^{+}$$

Equation 1: Standard biochemical free energy with multicompartment adjustment.

$${\varDelta G{\prime }^\circ }_{\left(multicompartment\right)}={\varDelta }_{r}G{\prime }^\circ +\left(-{N}_{H}\bullet RTln\left({10}^{\varDelta pH}\right)-Q\bullet F\varDelta \varphi \right)$$

Equation 2: Overall free energy change for Reaction 1 taking place in the periplasm and cytoplasm.

$$\varDelta G= {\varDelta G{\prime }^\circ }_{\left(multicompartment\right)}+RT\text{l}\text{n}\left(\frac{\left[MQ\right]\left[NADH\right]}{\left[{MQH}_{2}\right]\left[{NAD}^{+}\right]}\right)$$

Q-pool dependent EEU to cytoplasmic NAD ⁺ is IMF-dependent.

We calculated the ΔG for Reaction 1 in S. oneidensis when catalyzed by three energetically distinct NADH dehydrogenases. Nuo and Nqr are energetically coupled to IMF, transporting 4 H⁺ and 2 Na⁺ per NADH, respectively, while Ndh is not coupled to IMF. For each NADH dehydrogenase, we modeled the ΔG of Reaction 1 in response to biologically relevant changes in the reaction quotient (Q), membrane potential ($\varDelta \varphi$), ion-transport stoichiometry, and ΔpH across the inner membrane (Equations 1 and 2, Methods).

For the 40 conditions modeled, Reaction 1 was thermodynamically favorable (ΔG < 0) in 0/40 (0%) of scenarios when energetically uncoupled, 12/40 (30%) when SMF-coupled, and 31/40 (77.5%) when PMF-coupled. A high reactant to product ratio (90% reduced) of menaquinol (MQH₂) to menaquinone (MQ), increased the available free energy for Reaction 1 under all energetic coupling conditions compared to a low ratio of MQH₂:MQ (0.1% reduced); however, a shift in Q ratio alone was not sufficient to make Reaction 1 favorable in the absence of IMF (ΔG > 0). We only show reactant to product ratios for MQH₂ to MQ, because the NAD(H) pool is held constant in our models at 93.7% oxidized to favor EEU, as described in the Methods section.

For each value of periplasmic pH (5, 6, 7, and 8) that we modeled, the cytoplasmic pH was held constant (pH = 7.5). Change in the periplasmic pH only reversed the thermodynamically favored direction of Reaction 1 when energetically coupled to SMF or PMF. When Ndh was used, ΔG was not dependent on membrane potential. When Reaction 1 was catalyzed by Nqr or Nuo in our model, a greater membrane potential magnitude (-0.2 V) yielded the most thermodynamically favorable ΔG for a given column. The ion involved in energetic coupling determined whether an acidic or basic periplasmic pH was the most favorable for EEU (ΔG < 0). When we modeled the ΔG for Reaction 1 catalyzed by Nuo (PMF-coupled) an acidic periplasmic pH was the most thermodynamically favorable for EEU (Fig. 4C). However, when we modeled the ΔG assuming Nqr (SMF-coupled), a basic periplasmic pH was more thermodynamically favorable for EEU for a given row in Fig. 4B. These results support the hypothesis that energetic coupling to IMF is required for Reaction 1 to proceed in the EEU direction.

Q-pool dependent EEU to cytoplasmic NAD ⁺ is IMF-limited.

To determine whether EEU was IMF-limited, we used a small (< 10 ml) single-chamber bioelectrochemical system (BES) designed for simultaneous fluorescence imaging and electrochemical measurements, as shown in Fig. 3. Using this microscopy compatible-BES, we measured the membrane potential and electric current produced by S. oneidensis MR-1 + Bdh on a cathode. We observed that when acetoin was added, ThT fluorescence decreased significantly, indicating that electron transfer to acetoin was an IMF sink that significantly altered the membrane potential (Fig. 5). When water was injected instead of acetoin, no change in ThT fluorescence or current occurred. There was no significant difference in cathodic current before and after acetoin injection, however, this is not unexpected given the low cell density in the experimental setup. The PMF-uncoupler, CCCP, was injected 60 minutes after acetoin injection. Following CCCP injection, ThT fluorescence did not decrease further, suggesting that cells may have been completely depolarized after acetoin injection. We confirmed that CCCP injection in this system caused membrane depolarization by injecting CCCP into systems with S. oneidensis MR-1 using lactate as an electron donor and oxygen as an electron acceptor in the electrochemical cell without an applied voltage (Figure S1). Aerobic lactate metabolism provides NADH to the ion translocating NADH dehydrogenases and subsequent build-up of membrane potential.⁸¹ Under these conditions, ThT fluorescence decreased by 50% upon CCCP injection (Figure S1). When lactate was the electron donor and oxygen the electron acceptor, pre-CCCP ThT fluorescence (~ 7,000 procedure defined unit, p.d.u.) was ~ 3.5X higher than for S. oneidensis with the cathode as the electron donor and acetoin as the electron acceptor (~ 2,000 p.d.u.).

To reduce net carbon emissions at industrial sources via MES systems, we must first address the current density bottlenecks that limit EEU. Here, we described the thermodynamic bottleneck that limits Q-pool dependent EEU in S. oneidensis, a constraint applicable to several genera of MES candidate organisms. EEU through the Mtr pathway, a well-characterized and bidirectional ET route in S. oneidensis, is thermodynamically reversible prior to exiting the Q-pool in Reaction 1. We calculated the multicompartment free energy change available to Reaction 1 under biologically relevant conditions (non-extremophile). Thermodynamic calculations showed that Q-pool dependent EEU requires energetic coupling to IMF for Reaction 1 to be thermodynamically favorable under all conditions modeled (Fig. 4). We also hypothesized that Q-pool dependent EEU is IMF-limited.

As discussed by Mancini et al. (2019), for a membrane potential indicator to display Nernstian behavior, extensive optimization must occur under all experimental contexts. ⁸² While this level of optimization was impractical for this study, we were able to assess membrane potential changes with ThT qualitatively by restricting fluorescence intensity comparison to individual biological replicates, then comparing the pre- to post-injection ΔThT for the acetoin and water-control groups. We found that acetoin, but not the solvent control (water), triggered a sustained decrease in membrane potential, suggesting that EEU was IMF-limited. CCCP did not further decrease ThT fluorescence after the acetoin-dependent decrease, indicating the membrane potential was already depolarized. Complete depolarization suggests that inward electron transfer depletes IMF faster than it can be replaced and therefore IMF generation is the rate limiting step for EEU under these conditions.

Our findings that Q-pool-dependent EEU is both IMF-dependent and IMF-limited aligns with the growing consensus for the mechanism of Q-pool dependent EEU. In autotrophs where EEU is Q-pool dependent, a source of IMF is needed to perform EEU-driven carbon fixation, as reviewed in Gupta et al. (2020).¹³ Indeed, Guzman et al. (2019) demonstrated that R. palustris requires PMF for electrode-driven carbon fixation.⁹ Past work with S. oneidensis is also consistent with IMF-dependent EEU to the cytoplasm.^{25,29,67,83,84} Tefft and TerAvest (2019) reported EEU in S. oneidensis + Bdh + PR (proteorhodopsin), where PR, a light-driven proton pump, provided PMF.⁶⁷ On a cathode, S. oneidensis + Bdh + PR, rapidly responded to changes in light, indicating that EEU might be PMF-limited.⁶⁷ Rowe et al. (2018 and 2021) showed that S. oneidensis can perform EEU to the Q-pool with PMF supplied natively by proton-pumping terminal oxidases. ^83,84 Ford and TerAvest (2023) demonstrated that PMF from terminal oxidases was also sufficient to drive EEU to the cytoplasm in place of PR in S. oneidensis + Bdh.²⁹ Tefft et al. (2022) found that CCCP interfered with EEU to the cytoplasm, but not to fumarate reductase (FccA) in the periplasm.²⁵ As illustrated by Ross et al. (2011), 85% of EEU to FccA must go through the quinone pool.²⁰ Considered together, Tefft et al. (2022) and Ross et al. (2011) highlight that EEU to the Q-pool is not PMF-dependent, however, electron transfer from the reduced quinone pool to cytoplasmic NAD⁺ is PMF-dependent.^20,25

As shown by our model, Reaction 1 could be thermodynamically favorable for EEU with a consistent supply of IMF. Future work could optimize expression of both H⁺-pumping oxidases and dissolved oxygen concentration to provide sufficient PMF for EEU, without reaching harmful concentrations of H₂O₂ from oxygen reduced on the cathode.²⁹ Under optimized conditions, it is possible that IMF would no longer be limiting for EEU. If this occurs, and discrepancies between anodic and cathodic current density magnitudes persist, future work could consider enzymatic engineering.

We can improve the feasibility of MES as a scale-able biotechnology by identifying and optimizing the IMF-sources able to drive EEU in metal-reducers. The utility of the efficient electron transport pathways in metal-reducing bacteria are not limited to MES systems from a given species or genus. Indeed, the two requirements of MES have been independently demonstrated through heterologous expression: TerAvest et al. (2014) showed that E. coli expressing the Mtr pathway could directly link metabolic oxidation to electrode reduction; and Antonovsky et al. (2016) engineered a strain of E. coli capable of fixing CO₂ into organic carbon molecules.^85–87 In the future, engineered heterotrophic species, and/or their heterologously expressed EEU pathways, could increase current density magnitudes well into the range required for MES to be a scalable and sustainable biotechnology.

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Not applicable.

Consent for Publication

Not applicable.

Availability of Data and Materials

Free energy changes were calculated using eQuilibrator 3.0 API in Python 3.9.7; see Methods section for package dependencies. The source code and raw data for either the free energy calculations or the microscopy experiments are available on request.

Competing Interests

The authors declare that they have no competing interests.

Funding

Our work was funded by the NSF CAREER award 1750785 to MT.

Authors’ Contributions

All authors contributed to preliminary discussions conceptualizing the thermodynamic model. SM and KF performed preliminary calculations for the model. MGC did extensive literature review of topical papers. SM further developed the preliminary thermodynamic calculations into the multicompartment free energy model. SM and MT worked together to interpret the results of the thermodynamic model. SM and MT conceptualized the microscopy compatible bioelectrochemical system experiments. SM performed all microscopy experiments and processed the resulting data. SM and MT interpreted the microscopy experiment results. SM wrote the initial drafts of the manuscript. All authors contributed to editing and revising the manuscript and have approved the submitted manuscript.

Acknowledgements

We thank Dr. Sahand Pirbadian and Dr. Moh El-Naggar, of the El-Naggar Lab (University of Southern California) for helpful discussions, emails, and components for our BES prototype. We also thank members of the TerAvest lab, particularly Nicholas Tefft, for contributing to topical conversations for this project. Thank you to the Ducat Lab (Michigan State University) for use of their fluorescence microscope. Our work was funded by the NSF CAREER award 1750785 to M. TerAvest.

Authors’ Information

Corresponding Author

Michaela A. TerAvest – ORCID: 0000-0002-5435-3587; Email: [email protected]

Authors

Shaylynn D. Miller – ORCID: 0009-0007-6351-0517

Kathryne C. Ford – ORCID: 0000-0002-6357-9318

Megan C. Gruenberg Cross – ORCID: 0000-0002-9158-9900

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Energetic constraints of metal-reducing bacteria as biocatalysts for microbial electrosynthesis

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