Climate change concerns linked to increasing concentrations of anthropogenic methane have spiked interest in biological methane utilization as a novel platform for improving ecological and human well-being1,2,3,4. Methane-utilizing microbes (i.e., methanotrophs) are becoming an attractive and efficient microbial platform for organic manufacturing of renewable fuels and chemicals3,4,5,6. Recent application of modern metabolic engineering tools has furthered methane-based biotechnology, leading to construction of novel biocatalyst traits with great biotechnological potential7,8,9. The recent progress in this area has also highlighted the need for a deeper understanding of the methane-conversion network organization.

Our knowledge of aerobic methane utilization is founded on a number of remarkable discoveries in the biochemistry, physiology, genetics, and ecology of this unique biological function in Proteobacteria10,11,12. The established network of methane utilization has been revisited through the discovery of high redundancy of core functional oxidation machinery and the incredible flexibility of the redox balancing pathways13,14,15,16,17,18,19,20. Access to complete genome sequences of methanotrophic bacteria21,22 enables whole-genome metabolic reconstruction and flux-balance modeling23,24,25. Several limitations of the top-down modeling of methylotrophy have been highlighted24, including limited knowledge of redox transfer reactions, flexibility of the primary methane oxidation pathways, and lack of data on energy maintenance. Herein, we applied a set of systems-level approaches for comprehensive investigation of the methane utilization network in Methylomicrobium alcaliphilum 20ZR (a rifampicin-resistant derivative of the strain 20Z14,15,16). Complete and expert-annotated genomic information, a large set of genetic tools, wide-ranging enzymatic studies, and the availability of whole-genome transcriptomic data make 20ZR an ideal model system for understanding the central metabolic pathways associated with methane oxidation16,26,27,28,29,30,31,32,33,34. M. alcaliphilum 20ZR possesses only particulate methane monooxygenase (pMMO) for the first step of methane conversion. The enzyme is a mixed function oxidase, in which one atom from O2 goes to methanol and the other to water, requiring the input of 2 electrons and 2 protons. To date the source of electrons is still unknown. The second step of the methane oxidation pathway is catalyzed by a periplasmic pyrroloquinoline quinone-linked methanol dehydrogenase. Two enzymes are predicted, a Ca-dependent MxaFI system and La-dependent XoxF15. Genome annotation for the strain 20Z predicts multiple pathways for formaldehyde oxidation, including tetrahydromethanopterin- and tetrahydrofolate-linked pathways, formaldehyde dehydrogenase, and the oxidative ribulose monophosphate cycle15. The genome has two clusters encoding NAD-dependent formate dehydrogenases: 1) NAD-linked, tungsten (W)-dependent formate dehydrogenase; and 2) a partial NAD-linked, molybdenum-dependent formate dehydrogenase. Only the first system is expressed under methane-growth conditions, even if W is not supplied. Since formate is typically accumulates in the growth media16,33, it could be suggested, that the enzyme is only partially active. The impact of tungsten addition on growth of Methylomicrobium alcaliphilum 20ZR has never been evaluated. Genome annotation indicates that metabolic pathways for carbon assimilation are highly branched and include the assimilatory ribulose monophosphate pathway (RuMP) and the partial serine cycle16. Two variants of the RuMP have been described in 20Z16. Furthermore, it has been demonstrated that 75% of intercellular pyruvate comes from the pyrophosphate (PPi)-mediated Embden-Meyerhof-Parnas pathway (EMP); and 25% from the Entner–Doudoroff pathway (EDD)16. Furthermore, more recent evidence suggested the presence of the phosphoketolase pathway, which has been proposed to contribute to acetyl-CoA production35. The genomic data predict a complete TCA cycle15. At least three possible pathways for 2-oxoglutarate to succinyl-Co-A/succinate conversion could be identified: 1) the traditional 2-oxoglutarate dehydrogenase complex; 2) 2-oxoglutarate:ferredoxin oxidoreductase; and 3) γ-aminobutyric acid shunt36. However, the exact arrangement of the TCA in the methanotroph remains to be established. Furthermore, while the functional significance of the PPi-phosphofructokinase, a key enzyme of the EMP has been well established, the role of other PPi-dependent enzymes involved in central metabolism and anaplerotic CO2 fixation has never been evaluated. In this study, we focus on mathematical modeling of methane and methanol utilization pathways in 20ZR taking into account updated metabolic networks, optimized growth parameters (growth rate and biomass yields), methane/oxygen consumption, and as well as enzymatic and global non-targeted metabolomics data.

Results and Discussion

Growth optimization: impact of microminerals

It could be predicted, that the growth of the M. alcaliphilum 20ZR will depend on availability of Cu, Ca (or La) and W. The M. alcaliphilum 20ZR does not grow without copper, and the optimal growth is observed between 5–10 µM of Cu (II) (data not shown). As tungsten is not a standard component of methanotrophic growth media, a set of batch cultivation experiments with/without tungsten (W) was performed to examine its effects on growth and formate excretion. The growth rate of the culture did not change, however the final biomass yield increased by 7.5 ± 2.5%. Concentrations of C1-C4 organic acids in the growth medium were measured using NMR as described previously16. We found that formate production in cells grown in the presence of tungsten is reduced significantly, suggesting that tungsten limitation is a major factor contributing to formate excretion (Table 1). The data confirmed that NAD-linked, tungsten-dependent formate dehydrogenase is the main enzyme predicted for formate oxidation in M. alcaliphilum 20ZR. Therefore, all experiments carried-out in this work, were done with the W-supplemented growth medium. The substitution of Ca with La in the medium trace solution induced significant shifts in central metabolic pathways, which will be described elsewhere. In this study, we present data collected upon growth with calcium, i.e., with the Ca-dependent MDH, linked to cytochrome cL.

Table 1 Biomass composition and growth parameters of Methylomicrobium alcaliphilum 20Z. *CO2 production rates are below expected due to high pH of the growth medium.

Biomass composition

Overall biomass of M. alcaliphilum 20ZR cells consists of 44.9 ± 2.6% carbon (C), 8.1 ± 2.4% nitrogen (N) and 6.8 ± 0.1 hydrogen (H). The composition of main precursors (amino acids, fatty acids, nucleic acids, carbohydrates) was measured and summarized in Table 2. The main components were estimated as follows: 43 ± 2% amino acids, 14 ± 1% lipids, 9.7 ± 3.6% RNA, 8.1 ± 1.4% glycogen, 4 ± 0.3% DNA, 1.5 ± 0.1% ectoine, and 0.9 ± 0.2% sucrose. The list of intracellular metabolites, concentrations of cytochromes, ATP and PPi, phospholipids were compiled from published literature16,25,26,37.

Table 2 Accumulation of excreted organic acids (mg g−1 DCW) by M.alcaliphilum 20ZR grown in batch culture with or without sodium tungsten (0.07 mg L−1).

Flux balance model and growth parameters

The model consists of three compartments (extracellular space, periplasm and cytoplasm) and 396 internal enzymatic reactions (represented by 407 genes), 16 transport reactions between cell compartments, 422 metabolites and 20 exchange rates for nutrients and excreted compounds (see Supplemental Material, Table S1).

Since the energetics of methane oxidation in 20ZR can be linked to aerobic or anaerobic respiration and fermentation, electron transfers were further refined by incorporating aerobic respiration pathways (from NADH/H+, FADH2, and cytochrome CL), anaerobic respiratory pathways, and fermentation pathways16. As the source of electrons is still unknown, we incorporated a pMMO-specific electron carrier (e-donor), which could be reduced via three pathways: 1) a ubiquinone (UQH2)/e-carrier to represent UQ-linked methane oxidation; 2) a cytochrome cL (cytCL)/e-carrier to represent direct coupling between pMMO and methanol dehydrogenase; and 3) cytcL and cytbc1/2e-carriers to represent previously proposed reverse (also known as uphill) electron transfer18,24. The electron transfer reactions were connected to the production of proton/ion motive force (PMF), with the following ratios: electron transfer from NADH/H+ to ubiquinone linked to the transfer of 4 H+ (or 0.4 PMF); electron transfer from ubiquinol to cytochrome bc1 (cytBc1) and to cytochrome c (cytC) linked to the transfer of 4 H+ (or 0.4 PMF); electron transfer from cytochrome c (cytC) or from cytochrome cL (cytcL) to cytochrome oxidase linked to the transfer of 2 H+ (or 0.2 PMF). The electron transfer from ubiquinol to ubiquinol oxidases was also linked to the translocation of 4 H+ (or 0.4 PMF). ATP production via oxidative phosphorylation was set as the following: 1 ATP produced per 3 H+ translocated. The initial value of non-growth and growth-associated ATP maintenance were adapted from Methylomicrobium buryatense 5 G(B1)24.

Additional constraints were added as follows: 1) only water and CO2 are included as the expected excretion products; excreted formate, acetate, lactate, and exopolysaccharides were incorporated as part of the biomass equation and included in the biomass flux; 2) the methane consumption rate was set at 11.7 ± 0.14 mmol g−1 DCW h−1, (DCW, dry cell weight) based on measurements taken during continuous culture growth (at observed μ = 0.12 ± 0.01 h−1); and 3) the oxygen consumption rate was set at >11.7 and <20.6 mmol gDCW−1 h−1. The lowest parameter of oxygen consumption is based on the stoichiometry of methane oxidation, as 1 mol of oxygen is needed for oxidation of 1 mol methane. The upper limit represents the highest oxygen consumption rate observed during methane-limited growth (unpublished data). The oxygen consumption rate during exponential growth in continuous culture was 14.7 ± 0.9 mmol g−1 DCW h−1.

The initial metabolic model was further refined using enzymatic data (compiled in Table 3), and published 13C-carbon-labeling analyses, and transcriptomic data16. A number of central metabolic pathway reactions, including a set of reactions for the anaplerotic carbon fixation and PPi-linked reactions29 were validated and the following modifications were made: 1) both oxaloacetate and malate were set as key entry points for CO2 fixation, via pyruvate carboxykinase (PC, EC or PPi-phosphoenolpyruvate carboxykinase (PEPCK, EC and malic enzyme reactions (ME, EC, respectively; 2) interconversions between pyruvate and phosphoenolpyruvate were via pyruvate kinase (PYC, EC and pyruvate phosphate dikinase (PPDK; EC; (3) all variants of the RuMP and the serine cycle were incorporated into the model;24,35 (4) all possible variants of the TCA cycle were included15,36.

Table 3 Summary of kinetic parameters for enzymes from central metabolic pathways in M.alcaliphilum 20Z(R).

An overview of the central metabolic pathways is shown in Fig. 1 (a detailed figure is provided as supplemental Figure S1). We ran a set of in silico flux balance analysis (FBA) experiments using the COBRA toolbox to validate the stoichiometric completeness of the proposed metabolic network at all steps of the model development. Simulations for unconstrained network supported the direct coupling (electrons for methane oxidation comes from cytCL) as the most optimal solution for methane oxidation, however the predicted O2/CH4 consumption was low (Table 4). As could be predicted, incorporation of PPi-reactions slightly improved biomass yield. An additional constraint on intracellular source of PPi, with biosynthesis reactions as the only source, lead to the reduction of biomass and an increase in O2 consumption. However, even after the modification, the predictions differ from experimental measurements (Table 4). Specifically, the predicted growth rate was higher (0.145 vs 0.12), while predicted O2:CH4 consumption rate was low (1.21 vs 1.26). Two possible explanations were explored further: 1) ATP maintenance in methanotrophic bacteria is higher than assumed38; and 2) ubiquinol (UQH2) serve as supplemental sources of electrons for methane oxidation. The ATP requirements in methane grown cells of M. alcaliphilum 20ZR were measured, and the contribution of UQH2 was investigated by further constraining metabolic networks to observed oxygen consumption rate.

Figure 1
figure 1

Central metabolic pathways of methane (A) and methanol (B) utilization in Methylomicrobium alcaliphilum 20ZR and results of FBA analyses. Red circles indicate input substrates (CH4, O2, or CH3OH), White circles with red outlines indicate excreted compounds (CO2 and acetate); thickness of arrow represents predicted value of the corresponding flux via the reaction (solid arrow) or metabolic pathway (dotted arrows); (C,D) 3D plots of comparative analysis of metabolic profiling versus predicted flux ratios between the same growth conditions (axis X – model rank; axis Y – metabolomics rank; axis Z – metabolic pathway that a compound belongs to). (C) Comparison of results for complete TCA cycle (Spearman’s index equals to 0.9, p-value = 2.7E-24); (D) Comparisons of results for branched TCA cycle and reverse phosphoketolase reaction (R = 0.99, p-value = 2E-55).

Table 4 In silico predictions for different metabolic arrangements of methane utilization.

ATP maintenance requirement in M. alcaliphilum 20ZR

Methane-limitation experiments were carried out, in order to estimate non-growth-associated ATP maintenance39. Cells of 20ZR were supplied with various concentrations of methane from 0 to 2 mmol and the growth rate and methane consumption rate were measured. We found that 20ZR cells require 3.6 ± 0.3 mmol CH4 gDCW−1 h−1 to sustain metabolic activity but not grow. Methane concentrations below this parameter led to decreases in cell density, while higher methane concentrations supported cell growth. Using the assumed ATP yield Y ATP, max  = 6 mol ATP per one mol CH4 consumed, the non-growth-associated ATP requirement was calculated as 21.6 mmol ATP g DCW−1 hr−1.

Growth-associated ATP maintenance for 20ZR was found by fitting the reconstructed model to the experimentally determined biomass yield. We plotted the CH4-uptake rate against the growth rate from continuous culture experiments (Table 1). Model simulations were carried out for various values of growth-associated ATP maintenance and the range of 90–110 mmol ATP g DCW−1 was found to match experimental data (Fig. 2 see Methods). While the updated maintenance coefficients improved the correlation between simulations and observed experimental data, the oxygen consumption rates were still below expected 1.26.

Figure 2
figure 2

Experimentally measured (dots) and predicted growth rates for different CH4 consumption rates at different level of ATP maintenance. Axis X: values of growth rate (h−1); Axis Y: CH4 consumption rates (mmol g DCW−1 h−1).

Model predictions depending on simultaneous constraints of O2 and CH4 consumption

A set of additional in-silico simulations with constrained methane and oxygen consumption rates was carried out in order to investigate correlations between biomass production and O2/CH4 ratios (Fig. 3). The optimal solution for biomass production directly correlated with oxygen consumption, reaching the optimal output at 1.2–1.4—supporting direct coupling as the most compelling model for the observed O2:CH4 consumption ratio of 1.26 The contribution of electron transfer from NADH (via UQH2) gradually increased, ranging from 30% at a O2:CH4 consumption ratio of 1.3 to 75% at a O2/CH4 consumption ratio of 1.4, and completely replaced direct coupling at a O2:CH4 consumption ratio of 1.5. The switch to the redox arm leads to a decrease in biomass production. As the majority of the experimental data lay in the range of 1.25–1.4, optimal biomass production could not be modeled by any single mode, whether it was UQ-mediated or direct coupling. In summary, the most realistic behavior of the system could be modeled by dual simultaneous constraints on oxygen and methane consumption.

Figure 3
figure 3

Contribution of different sources of redox for methane utilization depending on O2:CH4 ratio. The height of the colored bar reflects the biomass production or percentage of the carbon flux a specific electron donor proportionally to 100% biomass at the particular value of O2:CH4 ratio.

To further validate this prediction, we estimated the parameters for growth at low oxygen tension. It has been shown that upon oxygen limitation the strain switches to a fermentation mode16. We ran an initial unconstrained model with only a constraint on oxygen uptake (O2 consumption rate was set to 12 mmol gDCW−1 h−1, or O2/CH4 = 1.02). This modification resulted in significantly reduced bacterial growth (0.06 h−1) and an extremely elevated excretion of acetate (3.83 mmol gDCW−1 h−1). According to the in-silico simulations, the phosphoketolase pathway is the most compelling mode of methane fermentation, with the majority of cellular ATP produced from an acetate kinase reaction. Both the growth rate and the increase in acetate excretion have been previously observed as main outcomes of O2-limiting growth16,40. Furthermore, the kinetic properties of purified acetate kinase from M. alcaliphilum 20Z support the in-silico prediction (Table 331).

Model validation: metabolomics data

The validity of the metabolic model was further assessed by metabolomics. Metabolomic profiles were obtained for cells grown in continuous culture on methane, as well as for exponentially grown cells from batch cultures on methane and methanol. Two hundred and fifty-three compounds were identified in bacterial cell pellets. The complete list of the non-targeted metabolites is presented in Table S2 (Supplemental materials).

We conducted statistical comparisons between methane-grown cells (methane batch or optimal culture considered as control) and methanol culture condition to reveal key differences in metabolic signatures (summarized in Table S3). When compared to growth on methane, the most noticeable changes in cells grown on methanol were the increase of glycine (5.7-fold), aspartate (3.7-fold), glutamine (3.1-fold), glucose (4.8-fold), fructose (2.1-fold), and intermediates of fatty acid degradation (i.e., 3-hydroxydecanoate, 47-fold), while the intracellular levels of the TCA Krebs cycle intermediates (citrate, aconitate, malate, fumarate) and phosphosugars (fructose 6-phosphate, hexose diphosphates, sedoheptulose-7phopshate), pyruvate and acetylphosphate were reduced. Cells grown at low oxygen tension showed metabolite patterns similar to those observed previously, and had elevated levels of fatty acids [i.e., 10-heptadecenoate (17:1n7)], lactate, and succinate 16.

The magnitude of changes between the two groups was compared to flux changes between the same two conditions predicted by the model. A positive and statistically significant correlation between predicted fluxes and experimental metabolomics data was observed. For example, the model predicts an increased carbon flux into the pool of amino acids under methanol growth, and a slight drop of the RuMP cycle. These predictions correspond to the directions of changes for metabolites in these pathways measured by biochemical profiling. Calculations of Spearman’s index, which is proper to use in the presence of a small number of observations, between these data sets have confirmed the statistically significant correlations between model predictions and experimental measurements (Fig. 1C,D).

The comparison also highlighted a set of metabolites whose changes contradict the model predictions, including intermediates of the TCA cycle, pentose phosphate pathway, and pyruvate (Fig. 1C). Additional modifications of the model and in-silico simulations were carried out. Changing the phosphoketolase reaction directionality (from fructose 6-phosphate → acetylphosphate + erythrose 4-phosphate to acetylphosphate + glyceraldehyde phosphate → xylulose 5-phosphate) improved model predictions for intermediates of the pentose phosphate pathway. We also considered a complete TCA cycle for methanol and methane growth, which reduced the Spearman’s index between metabolomics profiling and flux ratios to 0.9 (p-value = 2.7E-24). Simulations with a complete TCA cycle for methanol growth and an incomplete (knockout of 2-oxogluterate dehydrogenase) TCA cycle for methane growth led to the Spearman’s index of 0.94 (p-value = 1.1E-30). However, changes in fumarate and succinate levels did not correlate with predicted flux changes, so the metabolic reactions producing or consuming those compounds were investigated further. Simulations with an unusual TCA cycle41—in which oxoglutarate is converted to glutamate and then to succinate via succinate-semialdehyde dehydrogenase and glutamate carboxylase—and, additionally, oxaloacetate converted to aspartate and then to fumarate via aminotransferase and aspartate lyase resulted in the Spearman’s index of 0.99 (p-value = 2E-55).

Finally, a set of enzymatic analyses were set up to validate the updated metabolic network. The activity of phosphoketolase was measured in actively grown 20ZR cells demonstrating that the pathway is active upon growth on methane and methanol (Table 3); however, the highest activity of phosphoketolase is found in methane-grown cells. We also detected relatively high activity of succinate-semialdehyde dehydrogenase, supporting the hypothesis of a branched TCA cycle at the oxoglutarate node.

Concluding Remarks

Here we demonstrated the applicability of the systems approach to analyze and improve our understanding of the methane utilization network in M. alcaliphilum 20ZR. A genome-scale metabolic model of M. alcaliphilum 20ZR was constructed and refined using continuous cell culture parameters.

The flux balance analysis of the metabolic model quantified initial steps of methane oxidation, RuMP cycle, EMP/EDD pathways, TCA cycle; major routes for nucleotide, amino acid, and lipid biosynthesis, and fatty acid metabolism; as well as biomass growth under different conditions of the strain cultivation.

The model analysis has also identified the crucial role of an additional constraint on the O2 consumption rate. Due to the high plasticity of the redox reactions in the strain, the additional constraint on O2-input helped the model to navigate across the metabolic network and correctly reproduce experimentally observed parameters (growth rate and corresponding yields), and thus make accurate predictions.

Furthermore, we show that the integration of non-targeted metabolomics data with metabolic flux predictions can help to refine the central metabolic pathways, by highlighting nodes poorly resolved by in-silico reconstruction. The model simulations suggest that PPi-dependent reactions in the central metabolic pathways might contribute to energy preservation upon oxygen limitation, as well as improve carbon conversion efficiency. Global, non-targeted, metabolomic profiling combined with in-silico simulations uncovered a set of highly interconnected nodes at the level of acetyl-CoA, fumarate, and glutamate. Further enzymatic studies confirmed the carbon flux from acetyl-CoA to xulylose-5-phosphate via phosphoketolase, from glutamate to succinate via succinate-semialdehyde dehydrogenase and glutamate carboxylase, and from aspartate to fumarate via aspartate lyase. The model will serve to inform hypothesis-driven strain engineering strategies, targeting enhanced methane conversion rate and efficiency.


Metabolic modeling

To build the metabolic framework for 20ZR we used the whole genome sequence of Methylomicrobium alcaliphilum 20Z (NC_016112.1)15 and the previously published metabolic reconstruction for the closely related species, Methylomicrobium buryatense 5 G(B1)24. Each reaction in these metabolic pathways was checked for mass and charge balances except reactions coupled with electron transfer system. The model was developed in a format compatible for FBA42,43,44. Moreover, to standardize reaction and metabolite IDs in our model according to BiGG Models ID Specification and Guidelines45, we used iAF692 model data46 for almost all of entities and KEGG abbreviations for enzymatic reactions, for which we could not find corresponding BiGG reactions. To link genes with reactions, the NCBI Reference Sequence annotation, NC_016112.1, was applied. To mathematically model the methane utilization network and to solve FBA optimization problems we employed GNU Linear Programming Kit (GLPK) ( solver in MATLAB using the well-known COBRA toolbox designed for flux balance model reconstruction and analyses47. To visualize metabolic networks and obtained fluxes we employed the Escher web-tool (Figure S148).

Strain and growth media

M. alcaliphilum 20ZR cells were grown using modified P media (g/L): KNO3, 1; MgSO4 x 7H2O, 0.2; CaCl2 x 2H2O, 0.02; NaCl, 30; trace solution, 1 ml/L of trace solution9; and supplemented with 20 ml/L of phosphate solution (5.44 g KH2PO4; 5.68 g Na2HPO4) and 20 ml/L of 1 M carbonate buffer. The following methane mixtures were used for bioreactor studies: (i) 5% CH4: 3.5% O2 to represent oxygen-limiting conditions; (ii) 5% CH4: 5%O2, to represent optimal growth; and (iii) 2.5%CH4:10% O2 to represent methane-limiting conditions. Methane mixtures were directly purged into bioreactor culture at 0.1 sL h−1 rate. In batch cultures, methane (99.9%, Airgas) was injected into vials to represent 10–20% of the headspace. For methanol growth cultures were supplemented with 0.5% methanol.


Culturing was carried out in either closed vials (50 ml cultures in 250 ml vials, or 200 ml cultures in 1 L bottles) with shaking at 200 r.p.m. or bioreactor cultures (fed-batch or turbidostat). Two types of bioreactors were used: 1) a DASbox mini bioreactor (0.5 L working volume; 200 ml culture) with two individual bioreactor units, each having automatic temperature, pH, and DO controls, a sample port for measuring OD, and a coupling to a BlueSens sensor system for simultaneous measuring off-gases (CH4, O2, and CO2); or 2) a 2.7 L bench top BioFlo 110 modular bioreactor (New Brunswick Scientific, Edison, NJ, USA).

Batch cultures were grown in 125 ml, 250 ml, or 1.2 L bottles. The headspace:medium was set at 4:1 ratio. CH4, O2, and CO2 composition of the headspace were determined using an SRI GC system. Control set of samples include only ininoculated media. The methane and oxygen consumption and CO2 production rates were calculated by estimating decline(or increase) of the corresponding compounds over time. The data were analyzed to assess yield (Y), growth rate, and O2/substrate ratios. In addition, samples (15 ml) were taken for metabolomics.

ATP maintenance experiments

To estimate growth-dependent and non-growth associated ATP maintenance cells of 20ZR were pre-grown to OD = 0.36 ± 0.05 and transferred to new vials supplemented with various amounts of methane added to headspace (0, 0.02, 0.04, 0.08, 0.1, 0.2, 0.4, 0.8, 1.6 mmol). Each experiment was represented by 3–6 biological replicates. Vials with cultures were placed back onto shaking platform. OD and CH4, O2 and CO2 composition were measured every 30 min – 1 h over 12 hours. The growth rates of methanotrophic bacteria correlated with the initial concentrations of substrate added. No growth was observed in cultures supplemented with methane below 3.6 mmol g−1 CDW h−1.

Methane utilization for maintenance and growth is mathematically expressed as:

\({q}_{C{H}_{4}}={m}_{C{H}_{4}}+\frac{\mu }{{Y}_{max}}\), where \({m}_{C{H}_{4}}\) is the methane requirement for non-growth–associated maintenance activities, Y max is the maximum biomass yield including growth–associated maintenance, and μ is the growth rate39. These ATP requirements were determined from a plot of methane uptake versus optimal computed growth rate, given the experimentally determined values for \({m}_{C{H}_{4}}\) and Y max . \({m}_{C{H}_{4}}\) has been observed to have value equals to 3.6 mmol CH4 g DCW−1 h−1, while Y max has a value 0.6 gDCW per g of CH4. Using the assumed ATP yield YATP, max = 6 mol ATP per one mol CH4 consumed and the y-intercept (3.6 mmol CH4 g DCW−1 hr−1), the non-growth-associated ATP requirement was calculated as 21.6 mmol ATP g DCW−1 hr−1. To estimate growth-associated ATP maintenance the model was simulated by varying only the CH4 consumption rate upon different values of growth-associated ATP maintenance as a stoichiometric coefficient in the biomass equation (‘BOF’ in Supplemental Material, Table S1). Figure 2B demonstrates agreement between the equation and the flux balance approach and the corresponding growth-associated ATP requirement is the range of 90–110 mmol ATP g DCW−1.

Dry cell weight measurement

Cultures (150 ml) from bioreactors were centrifuged to collect the biomass. After careful removal of the liquid phase, tubes of known weight with biomass were weighed (to obtain wet-cell biomass weight), lyophilized overnight using a Labconco freeze-dry system and weighed again. The observed DCW parameters were as follows: 1 L of cell culture with OD = 1 corresponds to 0.336 ± 0.025 g DCW).

Biomass composition

Samples of lyophylized biomass were submitted to AminoAcids ( for complete amino acid analys, and to Matrix Genetics (Seattle, WA, for FAME derivatization and GC-MS analysis. The intracellular concentration of glycogen was determined using anthron reagent49; ectoine concentration was determined using an HPLC assay50. For glycogen measuremnts 20zR biomass (dry) was lysed by incubation of with potassium hydroxide (10% KOH) at 95 °C for 1 h. After neutralization and centrifugation (14000 rpm @ 15 min, 4 °C), ethanol was added to the supernatants (two volumes) and samples were refrigerated overnight. The precipitated glycogen was resuspended in 1 ml of DI H2O and centrifuged again (14000 rpm, 15 min, 4 °C). 1 ml of 0.2% (w/v) anthrone reagent (95% sulfuric acid) was added to 0.2 ml resuspended glycogen and incubated for 15 minutes, after which the sample was measured using a Janeway 632OD spectrophotometer and 620 nm. The concentrations of glycogen were estimated by comparing to glycogen standards prepared in the same manner as cell samples. Extracellular polysaccharides were measured in samples of broth using a sulfuric acid assay 51. Extracellular concentrations of formate, acetate, and lactate were measured as previously described 16.

Non-targeted metabolite profiling

Metabolomic analysis of cells and spent supernatant from cultures of the M. alcaliphilum 20ZR was performed using Metabolon’s untargeted global biochemical profiling platform [] and according to the published protocol52. The data represent accurate relative quantification only for individual compounds across all the samples which contain it. The original scale data represent raw ion counts for the integrated peaks specifically representing each compound. The scaled data is generated by simply dividing each value for a compound by the median (among detected samples), then imputing any null values with the minimum detected value. Thus, the scaled data are centered around 1.0 (median) for all compounds, but the variation among the samples is not affected53,54. Statistical analyses were performed on natural log-transformed data.

Statistical comparison between predicted flux changes and biochemical profiling

Statistical comparison between methane-grown cells (methane batch) and methanol culture condition was initially conducted to reveal key differences in metabolic signatures. The magnitudes of changes between two groups were compared to predicted flux changes between the same two conditions. An enzymatic reaction with the highest value of flux for biosynthesis of corresponding metabolite was used to calculate flux ratio between two growth conditions. In order to estimate Spearman’s correlation index, predicted flux ratios and metabolic signatures were ranked according to the method55. 3D plots reflected metabolomics and model ranks taking into account metabolic pathways for measured substances were generated with assistance of Plotly tool (Plotly Technologies Inc. Collaborative data science. Montréal, QC, 2015;

Isolation of soluble protein fraction

Cell lysates were generated from biomass cultivated under above described conditions. Cells were pelleted via centrifugation for 1 min at 13,000 g and culture supernatants were discarded. Cell pellets were quenched in liquid nitrogen, thawed and solubilized on ice in 1 mL of lysis buffer (50 mM MOPS, pH 7.4, 50 mM NaCl, supplemented with 1X cOmplete Protease Inhibitor Cocktail solution (Roche Diagnostics Corporation, Indianapolis, IN)). The cells were then sonicated on ice at 4 °C, at 90% power setting for 30 seconds × 3 cycles, with a one minute cool-down period between sonication cycles using a Braun-Sonic-L ultrasonicator. Lysates were cleared via centrifugation at 16,000 × g at 4 °C for 5 minutes, and the supernatants were isolated for use in subsequent enzymatic analysis.

Enzyme activity determination

Cell lysates were generated from biomass cultivated under above described conditions. Cells were pelleted via centrifugation for 1 min at 13,000 g and culture supernatants were discarded. Cell pellets were quenched in liquid nitrogen, thawed and solubilized on ice in 1 mL of lysis buffer (50 mM MOPS, pH 7.4, 50 mM NaCl, supplemented with 1X cOmplete Protease Inhibitor Cocktail solution (Roche Diagnostics Corporation, Indianapolis, IN)). The cells were then sonicated on ice at 4 °C, at 90% power setting for 30 seconds × 3 cycles, with a one minute cool-down period between sonication cycles using a Braun-Sonic-L ultrasonicator. Lysates were cleared via centrifugation at 16,000 g at 4 °C for 5 minutes, and the supernatants were isolated for use in subsequent enzymatic analysis.

Enzymatic assays for pyruvate dehydrogenase (PDH), alpha ketoglutarate dehydrogenase (AKGDH), succinate semialdehyde dehydrogenase (SSADH), and glutamate carboxylase (GC) were conducted using methodology adapted from56. Briefly, enzymatic activity was quantitated via continuous spectrophotometric rate determination at 340 nm following enzyme incubation with substrate, Coenzyme A, and beta-nicotinamide adenine dinucleotide (or oxidized nicotinamide adenine dinucleotide for SSADH) at 30 °C. Final assay reaction concentrations for PDH, AKGDH, and GC were as follows: 50.8 mM MOPS, 0.2 mM MgCl2, 0.01 mM CaCl2, 0.3 mM cocarboxylase (thiamine pyrophosphate), 0.12 mM coenzyme A, 2.0 mM beta-nicotinamide adenine dinucleotide, 2.6mM L-cysteine, 5 mM substrate, and 25ug total protein. Final reaction concentrations for SSADH were as follows: 87 mM potassium pyrophosphate, 3 mM 2-mercaptoethanol, 1.3 mM ß-nicotinamide adenine dinucleotide phosphate, 5.0 mM succinic semialdehyde, 0.83% (v/v) glycerol, 2.5 mM potassium phosphate, and 25ug total protein.

Phosphoketolase activity was measured using a hydroxymate assay that detects acetyl phosphate35,57,58. Briefly, 100 μL reactions in reaction buffer [30 mM potassium phosphate (pH 6.5), L- cysteine hydrochloride (2 mM), sodium fluoride (20 mM), sodium iodoacetate (10 mM), thiamine pyrophosphate (1 mM), and fructose 6-phosphate (30 mM) (Sigma)] were initiated by the addition of 25 μg total protein. Reactions were incubated at 37 °C for 1 h. After incubation, 50 μL of 2 M hydroxylamine hydro- chloride (pH 7.0) was added to the reaction and incubated at room temperature for 10 min. Reactions were then terminated by adding 300 μL of a 1:1 mixture of 2.5% ferric chloride in 2 M hydrochloric acid and 10% trichloroacetic acid. A color change due to ferric-hydroxamate formation was measured at A505nm, and the concentration of acetyl-P formed during the initial reaction was calculated by regression analysis compared to known standards.

All absorbance measurements were conducted using a FLUOstar Omega microplate reader (BMG Labtech) in 96-well, round-bottom plates (Corning Costar), 300-μL reaction volumes.

Availability of data and material

Developed genome-scale model (xls) is available on the web-site: