The establishment of protometabolic cycles has important consequences for the origins of life1,2,3,4. It has been hypothesized by Leslie Orgel that “If complex cycles analogous to metabolic cycles could have operated on the primitive Earth before the appearance of enzymes or other informational polymers, many of the obstacles to the construction of a plausible scenario for the origin of life would disappear5”. The modern metabolic citric acid cycles (TCA and reverse-TCA) are the most investigated in this context4, 6,7,8,9,10. The TCA cycle is comprised of a series of enzyme-catalyzed transformations enabling the net oxidation of an acetyl group into two molecules of carbon dioxide11. The exergonicity of this conversion is coupled to the production of reduced nicotinamide and flavin coenzymes and nucleotide triphosphates directly, and into aspartate and glutamate synthesis by the reductive amination of TCA cycle intermediates oxaloacetate and α-ketoglutarate, respectively. These amino acids then serve as scaffolds for eight additional biological amino acids, as well as pyrimidine nucleobases12. The cycle begins with the aldol addition of acetyl-CoA to oxaloacetate. The product, citrate, is reorganized to enable the decarboxylation of a β-ketoacid (oxalosuccinate, I, Fig. 1), and the oxidative decarboxylation of an α-ketoacid (α-ketoglutarate, II), effectively oxidizing the acetyl-CoA into two equivalents of CO2, with the regeneration of oxaloacetate from malate.

Fig. 1
figure 1

Oxidation and decarboxylation within the modern TCA cycle. A net transformation of Ac-CoA into CO2 occurs through a decarboxylation of a β-ketoacid (I) and an oxidative decarboxylation of an α-ketoacid (II)

However, attempts at using TCA pathways as a template for prebiotic reactions have not yet yielded sustainable non-catalytic cycles5, 13,14,15,16,17,18,19. Instead of this top-down endeavor to replicate modern biochemistry, we relied on a bottom-up approach by starting with simple abiotic carboxylates including glyoxylate, the smallest α-ketoacid, and malonate, the simplest α-dicarboxylate. In place of modern redox coenzymes, we used hydrogen peroxide (H2O2), a product of the photochemical oxidation of water20. We then focused on reaction types that are fundamental to modern TCA cycle metabolism: aldol addition and oxidative decarboxylation. With this strategy, we discovered two linked cycles of reactions that each oxidize glyoxylate into CO2, and generate intermediates that are shared with the modern TCA cycle. Both cycles proceed uncatalyzed at mild temperature and neutral pH, with one cycle demonstrating multiple turnover with sequential feeding of source materials (glyoxylate and H2O2). In a similar functional role as the TCA cycle, the protometabolic cycle intermediates also serve as a source of amino acids.


Reaction cycles

The two abiotic cycles demonstrated in this work (Fig. 2) fundamentally employ the same chemistry, spontaneous decarboxylations of β-ketoacids and oxidative decarboxylations of α-ketoacids, while generating intermediates that are common with the TCA cycle (oxaloacetate and malate, Fig. 2). Both abiotic cycles use glyoxylate as the C2 carbon source rather than acetate (Ac-CoA). However, unlike the TCA cycle, no transformations beyond an aldol addition and an alcohol oxidation are required to enable the decarboxylation chemistry, thus greatly simplifying the overall pathway from nine steps in the TCA cycle to four steps in each abiotic protometabolic cycle. The series of abiotic reactions can be initiated by an aldol addition of glyoxylate with either oxaloacetate, pyruvate or malonate. The only reactants required in either cycle (4-hydroxy-2-ketoglutarate (HKG) or Malonate, Fig. 2) are glyoxylate and H2O2, and all reactions proceed at mild pH (7.0 to 8.5) and temperature (≤50 °C).

Fig. 2
figure 2

Two abiotic cycles each oxidize glyoxylate into CO2 with the regeneration of oxaloacetate. All reactions of both the HKG and Malonate cycles progress significantly in hours at pH values 7–8.5 at the listed temperature of 50 °C or 23 °C

Malonate cycle chemistry

In a reaction of 90 mM malonate with 3 equivalents (eq.) of glyoxylate at 50 °C, an aldol addition generates 3-carboxymalonate (3-CM; Fig. 2, Malonate cycle, Fig. 3a). At pH 8.4 in bicarbonate buffer, this reaction is nearly quantitative, producing ≥98% 3-CM in 24 h (Fig. 3b, c, Supplementary Table 1). After addition of 30 eq. of H2O2, and heating at 50 °C for an additional 48 h, regeneration of malonate from the 3-CM intermediate is observed (51% yield, Fig. 3c, d, Supplementary Table 1). This suggested that a series of one-pot oxidation and decarboxylation reactions of 3-CM had taken place, proceeding by oxidation to 3-CO (3-Carboxy-malate), decarboxylation to oxaloacetate, then oxidative decarboxylation of oxaloacetate back to malonate (Fig. 3a, Supplementary Fig. 1). The implication that oxaloacetate, one of the long sought-after molecules in protometabolic (reductive citric acid cycle) scenarios5, 7, 15, with little success so far, is formed as a putative intermediate in a plausible prebiotic setting was exciting. Moreover, oxaloacetate has the reaction potential (similar to malonate) to act as a nucleophile and undergo aldol addition with glyoxylate, creating opportunities for diversifying the protometabolic pathways.

Fig. 3
figure 3

Progression around the Malonate cycle. a The reaction pathway of the Malonate cycle, with glyoxylate-sourced atoms in turquoise. b 1H NMR (in D2O) of a reaction aliquot from 90 mM disodium malonate in 1.0 M aq. bicarbonate buffer, pH 8.4. c A total of 3 eq. of glyoxylate was added and the reaction was heated for 24 h at 50 °C. d A total of 30 eq. of H2O2 was added and the reaction continued at 50 °C for an additional 48 h. The production of malonate through the oxidative decarboxylation of oxaloacetate, apart from the retro-aldol of 3-CM, was demonstrated by 13C labeling, as will be shown below

HKG cycle chemistry

We thus investigated the aldol addition of oxaloacetate with glyoxylate (Fig. 2, HKG Cycle, Fig. 4a). A reaction containing 90 mM oxaloacetate and 1.2 eq. of glyoxylate at pH 7.0 produces the aldol product oxalomalate (OXM) within minutes at 23 °C (Fig. 4b). A concurrent decarboxylation of OXM to HKG is complete within 3 h, with a two-step yield of ≥98% (Fig. 4b–d). Subsequent addition of 2 eq. of H2O2 to the thus produced HKG results in a quantitative oxidative decarboxylation to form malate in under 30 min (Fig. 4e, Supplementary Table 1). The oxidation of malate’s secondary hydroxyl to a keto group is rate and yield limiting, as is the oxidation of 3-CM in the Malonate cycle. The addition of 15 more eq. of H2O2 and heating at 50 °C for 24 h produces 55% malonate (Fig. 4f, Supplementary Table 1). The inclusion of a Lewis acid catalyst (ferrous sulfate, 0.25 eq.) accelerates the reaction and produces a similar result in 3 h rather than 24 h (Supplementary Table 1).

Fig. 4
figure 4

Progression around the HKG cycle. a The reaction pathway of the HKG cycle. b 1H NMR (in D2O) of a reaction aliquot from 90 mM oxaloacetate in 1.0 M aq. phosphate buffer, pH 7.0, with 1.2 eq. of glyoxylic acid, stirred at 23 °C for 5 min, c for 60 min, and d for 180 min. e A total of 2 eq. of H2O2 was added and the reaction was stirred for additional 20 min. f An additional 15 eq. of H2O2 was added and the reaction was heated at 50 °C for 24 h

Cycle tolerance and robustness

Both the Malonate and HKG cycles proceed in a single pot with alternating additions of glyoxylic acid, as the carbon source, and H2O2 as the oxidant. Starting from oxaloacetate, initial addition of glyoxylate induces the HKG cycle, while initial addition of H2O2 begins the Malonate cycle. The first reaction in either direction of the abiotic cycle starting from oxaloacetate is quantitative at 23 °C (Supplementary Table 1). Co-administration of both glyoxylic acid and hydrogen peroxide (added slowly dropwise) to oxaloacetate induces both cycles concurrently (Fig. 5). When added stoichiometrically all at once, H2O2 reacts with glyoxylate as quickly as with other cycle α-ketoacids to produce formate (Supplementary Fig. 2).

Fig. 5
figure 5

Both HKG and Malonate pathways progress in the presence of glyoxylate and H2O2. a Intermediates of both pathways are detected, OXM, HKG, and malate from the HKG cycle, and malonate and 3-CM from the Malonate cycle. b 1H NMR (in D2O) of a reaction aliquot from 90 mM oxaloacetate, 1.25 eq. glyoxylic acid, with 5 eq. of H2O2 added over 1 h, in 1.0 M phosphate buffer, pH 7.0, at 23 °C for 10 min, c for 30 min, and d for 48 h

The robustness of the system (Fig. 2) is demonstrated by the three distinct reactions that oxaloacetate undergoes under these conditions. All three reactions feed into (or back into) the protometabolic cycles, rather than producing a complex array of compounds, as might be expected from an uncatalyzed reaction network. First, the oxidative decarboxylation of oxaloacetate produces malonate, which reacts with glyoxylate to form 3-CM. Second, the aldol addition of oxaloacetate with glyoxylate produces OXM, which decarboxylates to HKG, and third, the non-oxidative decarboxylation of oxaloacetate generates pyruvate. Although, in other contexts, pyruvate might act as a leak and funnel off reactants in an irreversible manner5, here pyruvate is recovered by reaction with glyoxylate to regenerate HKG. Pyruvate, obtained from other sources7, 21, could also act as an entry point into the protometabolic cycles. After the aldol addition of pyruvate with glyoxylate (Supplementary Fig. 3, Supplementary Table 1), oxidation with H2O2 produces malate and then oxaloacetate in situ, followed by oxidation to malonate. This in situ generation of oxaloacetate from pyruvate has been a long-sought and elusive goal in prebiotic chemistry5, 7, 15. It is, in sum, an α-carboxylation of pyruvate, a critical anabolic pathway in modern biology, which resupplies TCA cycle intermediates (anaplerosis)22.

No reagents beyond glyoxylate and hydrogen peroxide are required to progress in either cycle (Fig. 2), and both cycles are tolerant to changes in buffer and pH. Although the aldol addition and decarboxylation of oxaloacetate to produce HKG proceeds optimally at pH 7 (Supplementary Fig. 4, Supplementary Table 1), the reaction progresses cleanly, though more slowly, at lower (5.5) and higher pH (8.0). At a pH of 10.5, HKG is still the dominant product, though other addition and condensation reactions are competitive (Supplementary Fig. 4d). No significant differences in HKG formation were noted when switching between phosphate (pH 2–12) and carbonate (pH 8–10.5) buffers when observed at similar pH values (Supplementary Figs. 4, 5). The oxidation of malate to malonate by H2O2 is most favorable at pH values from 6 to 8, but is significantly slowed in highly acidic (pH 2) and basic environments (pH 12) (Supplementary Figs. 5, 6). In the Malonate cycle, the aldol addition of glyoxylate to malonate produces 3-CM at pH values from 5.5 to 10.5, with increased reactivity under more acidic conditions (Supplementary Fig. 7). The reaction cycles have been shown to operate at ≤50 °C. While the linked cycle of reactions can all be potentially run at 23 °C, some of the slower steps such as the oxidation of the secondary alcohols (malate and 3-CM) were conducted at 50 °C in order to complete the reactions within a reasonable period of time (24–48 h).

The reaction conditions are quite mild as compared to those required for non-enzyme-catalyzed TCA and reverse-TCA (rTCA) steps that use canonical intermediates. Examples in the literature include three non-contiguous steps in the rTCA: oxaloacetate to malate (75%), fumarate to succinate (95%) and succinate to α-ketoglutaric acid (2.5%), carried out in ultraviolet (UV)-irradiated solution of aqueous ZnS colloid8, 23, 24. The oxidative decarboxylation of isocitric acid to α-ketoglutaric acid was observed in the presence of Na+-montmorillonite and O225. Trace amounts of citric, succinic, aconitic, oxaloacetic and fumaric acids were detected in reactions of pyruvate in basic aqueous cyanide21. Multiple oxidation and isomerization reactions were observed to interconvert TCA intermediates in the presence of aqueous peroxydisulfate and iron disulfide17. An aldol addition of oxaloacetate to pyruvate26, or a second equivalent oxaloacetate27, produces citric acid through oxidative decarboxylation in the presence of aqueous peroxide. Recently, a non-enzymatic promotion of multiple reactions of the rTCA cycle in consecutive sequence mediated by Zn2+, Cr3+ and Fe0 has been demonstrated in 1 M aq. HCl and 1 M aq. H2SO4 at 80–140 °C19.

Cycle turnover

The limited number of species (i.e., the sparseness of the network)28 and the multiple pathways that lead back to them offer a simpler and alternative approach to a protometabolic network, as opposed to creating a large complex network of reactions and then pruning them in a prebiotic context15. The cyclic systems developed here also provide the opportunity to address a key challenge and criticism of previously proposed abiotic reaction cycles5, namely the absence of a sustained turnover of reactions. The single-pot regeneration of malonate suggested that a cycle of reactions with turnover could be run starting from malonate with only the sequential addition of glyoxylate followed by oxidant. Turnover of the Malonate cycle was demonstrated using 13C-substituted substrates. Singly 13C-labeled (2-13C1)malonic acid was reacted with doubly 13C-labeled (1,2-13C2)glyoxylic acid, and oxidized with H2O2 to complete a full iteration of the cycle, regenerating malonate as a di-13C-labeled species (Fig. 6a, b). A second iteration of the cycle with doubly 13C-labeled (1,2-13C2)glyoxylic acid followed by oxidation produces 50% tri-13C-labeled and 50% di-13C-labeled malonate (Fig. 6c). The carbon-13 nuclear magnetic resonance (13C NMR) spectra of the central carbon of tri-13C-labeled malonate show the expected splitting pattern resulting from one and two additional 13C labels (Fig. 6b, doublet (2), Fig. 6c, triplet (3)). HRMS high resolution mass spectrometry) data of each stage of the reaction cycle is also consistent with cycle turnover (Fig. 6a–c, insets). A similar demonstration for the HKG cycle is not possible; the oxidation of malate to oxaloacetate proceeds quickly to malonate, thus sending material from the HKG cycle into the Malonate cycle, rather than returning to and progressing through multiple HKG iterations.

Fig. 6
figure 6

The progression from mono- to di- to tri-13C-labeled malonate indicates two full iterations of the Malonate cycle. a 13C NMR (in D2O) of a reaction aliquot from 2.0 ml of 200 mM (2-13C1)malonic acid in 1.0 M aqueous NaHCO3. b A total of 2 eq. of (1,2-13C2)glyoxylic acid was added, and the reaction was stirred at 50 °C for 3 h. Then, 30 wt% aqueous H2O2 was subsequently added to the solution at a rate of 40 eq./h, and the reaction was stirred at 50 °C for 10 h. c The reaction volume was reduced under vacuum back to 2.0 ml, and the procedure was repeated starting from the addition of (1,2-13C2)glyoxylic acid

Amino acid synthesis

The overlap between constituents of the protometabolic cycles and biologically relevant compounds of modern metabolism provides an opportunity to identify additional significant abiotic pathways. For example, a synthesis of the amino acid aspartate from malonate has been identified here, which proceeds under conditions compatible with cycle chemistry. Malonate reacts with α-hydroxyglycine (generated from NH3 and glyoxylate) to produce β-carboxyaspartate, which decarboxylates to aspartate in the presence of Mg2+ (Fig. 7, Supplementary Fig. 8, Supplementary Table 1). The production of β-carboxyaspartate proceeds at neutral pH and mild temperature (room temperature) over 5 days. In the presence of 1 eq. of Mg2+, a subsequent decarboxylation to aspartate is complete in 5 h at 60 °C in a 50% overall (two-step) yield. The reaction pathway to aspartate requires no additional reagents beyond ammonia (α-hydroxyglycine is produced by the trapping of ammonia with glyoxylate)29, and magnesium. A reaction of malonate with a mixture of glyoxylate and α-hydroxyglycine (1:1) results in a mixture of 3-CM and aspartate (Fig. 7), suggesting that the presence of NH3 is not detrimental to the overall reaction cycle and instead augments the protometabolic reaction pathways by constructive participation to produce aspartic acid when ammonia is available. The synthesis of aspartate provides a potential function for the protometabolic cycles in generating the building blocks of proteinaceous catalysts, which could in turn influence some of the pathways in the protometabolic cycle.

Fig. 7
figure 7

Aspartate synthesis from malonate, glyoxylate, and ammonia. a Malonate in the presence of a 1:1 mixture of glyoxlate and α-hydroxyglycine produces 3-CM and β-carboxyaspartate. The β-carboxyaspartate selectively decarboxylates to aspartate. b HRMS of a reaction aliquot from 0.5 M malonate and 1 eq. of both α-hydroxyglycine and glyxolate in a pH 6.8 bicarbonate buffer stirred at 23 °C for 5 days. c Subsequent addition of 1 eq. of MgCl2 and stirring at 50 °C for 5 h produces aspartate, but not malate. d, e Aspartate and malate spikes, respectively, to c

Links to other chemical systems may also be possible with increasing chemical complexity, as aspartate is a precursor in pyrimidine biosynthesis and in a potential abiotic pyrimidine synthesis30. We note with caution, however, that similarities between the protometabolic cycles and the evolved biochemical pathways do not imply that there must be a historical link between them. It has been pointed out that chemical equivalences “do not necessarily indicate an evolutionary continuity between prebiotic chemistry and biochemical pathways31”.

Cycle intermediates and feedstocks

The simple source molecules comprising the protometabolic cycles, including glyoxylate, malonate, pyruvate and H2O2, raises the question of their availability, and compatibility, in the context of prebiotic chemistry. Glyoxylate32, 33 and pyruvate7, 9, 21, 34 are small α-ketoacids, whose abiotic production has been noted through the oxidation of hydroxyacids, the oxidative deamination of amino acids, the oxidation of acetic acid in aqueous aerosols, the hydrothermal carbonylation of iron sulfide minerals and delivery by meteorites. H2O2 is a product of the photochemical oxidation of water catalyzed by pyrite20; it has been detected in multiple extraterrestrial environments35, 36, and mechanisms for its production and concentration on the early earth have been proposed37. As shown herein, malonate can be produced from glyoxylate, pyruvate and H2O2; it is also generated by the UV irradiation of aqueous acetic acid38, and as an end-product of the H2O2-dependent oxidation of larger polycarboxylates39. Although the cycles demonstrated in this work are partially tolerant to the co-administration of both hydrogen peroxide and glyoxylate, an early earth environment that plausibly produces both glyoxylate and H2O2 amenable to these protometabolic cycles has not been identified and thus remains open to further exploration.


In summary, two linked reaction sequences starting from simple carboxylates and α-ketoacids have been demonstrated to operate under plausible prebiotic conditions. The resulting protometabolic cycles each mimic a simplified version of the TCA cycle; a C2 organic source (glyoxylate) undergoes an aldol addition, a decarboxylation of a β-ketoacid and an oxidative decarboxylation of an α-ketoacid to generate two equivalents of CO2. In addition to reaction types, the abiotic cycles feature the intermediates malate and oxaloacetate, and the feedstock pyruvate, all in common with the modern TCA cycle. The dependence on glyoxylate also recalls the modern Glyoxylate cycle, an anabolic TCA cycle variant, which may suggest an important evolutionary link between glyoxylate and the TCA cycle—a possibility that has been raised and discussed elsewhere40, 41. The incorporation of ammonia in the Malonate cycle, as the carbinolamine of glyoxylate, leads to the synthesis of aspartic acid. The reaction chemistry achieves a net carboxylation (pyruvate to oxaloacetate) without requiring CO2 /ATP, and a net reductive amination (oxaloacetate to aspartate) without requiring a reductant. Alternative transformations such as these, which functionally substitute for enzyme-dependent modern metabolic pathways, may enhance the plausibility of an early protometabolism, including in environments that are not considered amenable to modern biochemistry. When combined with opportune co-emergence and involvement of polymeric catalysts, the transformation of these pathways into more complex metabolic reactions cycles with increased functionality may be an expected outcome.


HKG cycle

Oxaloacetate to HKG: A total volume of 119 mg of oxaloacetic acid (0.90 mmol, 90 mM) was dissolved in 9.9 ml of a 1.0 M aq. pH 7 sodium phosphate buffer in a 20 ml vial with a small stirbar. Then, 119 µl (160 mg) of 50 wt% glyoxylic acid in H2O (1.2 eq.) was added. The reaction pH was adjusted to 7.0 with 4.0 M aq. NaOH. The reaction was stirred at 23 °C for 3 h to give >98% HKG. HKG to malate: To the HKG-containing reaction described above, was added 184 µl (203 mg) of 30 wt% hydrogen peroxide in water (2 eq. H2O2). The reaction was stirred at 23 °C for 30 min to give >98% malate.

Malate to malonate: To the malate-containing reaction described above, was added 1.38 ml (1.53 g) of 30 wt% hydrogen peroxide in water (15 eq. H2O2). The reaction was stirred at 50 °C for 24 h to give 55% malate.

Malonate cycle

Malonate to 3-CM: A total volume of 149 mg of sodium malonate dibasic monohydrate (0.90 mmol, 90 mM) was dissolved in 9.7 ml of a 1.0 M aq. sodium bicarbonate buffer in a 20 ml vial. Then, 298 µl (400 mg) of 50 wt% glyoxylic acid in H2O (3.0 eq.) was added by micropipette. The reaction pH was measured (8.4), and the vial was stirred at 50 °C for 3 h to give >98% 3-CM. Lower pH values (7.0, phosphate buffer) produced an equilibrium mixture of the aldol addition product (3-CM) and the aldol condensation product (3-carboxyfumarate, see Supplementary Table 1).

3-CM to malonate: To the 3-CM-containing reaction described above was added 1.38 ml (1.53 g) of 30 wt% hydrogen peroxide in water (15 eq. H2O2). The reaction was stirred at 50 °C for 24 h. An additional 15 eq. of hydrogen peroxide was added and the reaction was stirred for another 24 h at 50 °C to give 51% malonate.

Malonate cycle turnover

First iteration (13C1 malonic acid to 13C2 malonic acid): A total volume of 42 mg of (2-13C1)malonic acid (0.40 mmol, 200 mM) was dissolved in 2.0 ml of 1.0 M aqueous NaHCO3 in a 1 dram vial. Then, 61 mg of (1,2-13C2)glyoxylic acid (2 eq.) was added, and the reaction was stirred at 50 °C for 3 h. Next, 30 wt% aqueous H2O2 was subsequently added at a rate of 40 eq./h, and the reaction was stirred at 50 °C for 10 h to produce (1,2-13C2)malonic acid.

Second iteration (13C2 malonic acid to 13C3 malonic acid): The reaction volume was reduced back to 2.0 ml under vacuum to maintain a consistent reaction concentration between iterations. Then, 61 mg of (1,2-13C2)glyoxylic acid (2 eq.) was added, and the reaction was stirred at 50 °C for 3 h. Next, 30 wt% aqueous H2O2 was subsequently added to the solution at a rate of 40 eq./h, and the reaction was stirred at 50 °C for 10 h to produce a 1:1 mixture of (1,2-13C2)malonic acid and (1,2,3-13C3) malonic acid.

Aspartate synthesis

Glyxoylate to α-hydroxyglycine: A total volume of 5.0 g of ammonium acetate (65 mmol) in 5.0 ml of deionized (DI) water was chilled to 0 °C. Then, 3.7 ml of chilled 50 wt% glyoxylic acid in H2O (0.52 eq, 2.5 g) was added and the reaction was stirred at 0 °C for 45 min. The product was collected as a white precipitate and washed twice with 5 ml of cold DI water to yield >95% α-hydroxyglycine29.

α-Hydroxyglycine and malonic acid to β-carboxyaspartate: A total volume of 100 mg of malonic acid (0.96 mmol, 480 mM) was dissolved in 2.0 ml of 1.0 M aq. sodium bicarbonate buffer in a 1 dram vial. Then, 170 mg (2 eq.) of α-hydroxyglycine was added. The reaction was stirred at 23 °C for 5 days; the pH drifted from 7.2 to 6.8 over the reaction course. β-carboxyaspartate to aspartate: To the β-carboxyaspartate-containing reaction described above was added 195 mg of magnesium chloride hexahydrate (1 eq.), and the reaction was stirred at 60 °C for 5 h to give a two-step yield of 50% for the malonate to aspartate transformation.

Data availability

The authors declare the data that support the findings of this study are available within the paper and its Supplementary Information files.