Bacterial F-type ATP synthases follow a well-choreographed assembly pathway

F-type ATP synthases are multiprotein complexes composed of two separate coupled motors (F1 and FO) generating adenosine triphosphate (ATP) as the universal major energy source in a variety of relevant biological processes in mitochondria, bacteria and chloroplasts. While the structure of many ATPases is solved today, the precise assembly pathway of F1FO-ATP synthases is still largely unclear. Here, we probe the assembly of the F1 complex from Acetobacterium woodii. Using laser induced liquid bead ion desorption (LILBID) mass spectrometry, we study the self-assembly of purified F1 subunits in different environments under non-denaturing conditions. We report assembly requirements and identify important assembly intermediates in vitro and in cellula. Our data provide evidence that nucleotide binding is crucial for in vitro F1 assembly, whereas ATP hydrolysis appears to be less critical. We correlate our results with activity measurements and propose a model for the assembly pathway of a functional F1 complex.

L ife needs energy for numerous biochemical energyconsuming processes to maintain cellular functions, such as biosynthesis, membrane transport, regulatory networks, and nerve conduction. The energy is provided in the form of ATP, which cells have to convert using external energy sources such as light or nutrients. ATP synthases, the molecular machines employed for such ATP production are omnipresent and found in many biological systems, such as the inner membrane of mitochondria, the thylakoid membrane of chloroplasts, and the bacterial plasma membrane and therefore of high importance. Recently, the F-type ATP synthase has been highlighted as a novel drug target against Mycobacterium tuberculosis 1,2 and the enzyme is gaining more and more interest as an attractive molecular target for the therapy of a variety of diseases (e.g., neuropathy, ataxia, retinitis pigmentosa syndrome, the familial bilateral striatal necrosis, one form of Leigh syndrome and Alzheimer's disease) [3][4][5] . Therefore, the development of methods that allow further investigation of these complex macromolecular machines, the subunits' assembly, and functionally relevant interplay, are of high interest. ATP synthases consist of a hydrophilic chemicaldriven F 1 -and the ion-driven membrane-embedded F O -module, as shown in Fig. 1d. ATP is synthesized from adenosine diphosphate (ADP) and inorganic phosphate (Pi) in the six nucleotidebinding sites situated in the interface of the α and β subunits in the soluble hexameric F 1 head. The energy is provided via a rotary mechanism of the membrane-bound F O part driven by the electrochemical gradient across the membrane via channels at the interface of the peripheral stator and the c-ring, causing the c-ring to rotate [6][7][8] . Working in the reverse direction the ATPase/synthase can also hydrolyze ATP and function as an ion pump, dependent on the physiological demand of the living cell 7,9,10 .
The ATPase F 1 part consists of nine subunits arranged as δ atop the hexameric head α 3 β 3 , which sits on a central stalk γε, whereas the membrane integrated F O part comprises the peripheral stator unit ab 2 and a membrane-embedded c-ring (Fig. 1). The c-ring is known to vary between different organisms, so far c-subunit stoichiometries between 8 and 17 have been reported [11][12][13][14][15][16][17] . The central stalk γε of F 1 interacts with the c-ring as well as the hexameric head. The torque of γ leads to conformational changes in the β-subunits causing different nucleotide-binding affinities (termed open, loose, closed, and tight conformation) resulting in either ATP synthesis or hydrolysis 18,19 . For Escherichia coli the subunit ε was found to be critically important for the integration of the soluble part F 1 with the membrane part F O 20-22 . It is as well known to exert a regulatory effect on bacterial ATPase activity [23][24][25] .
Furthermore, several studies focused on the assembly process of bacterial F-type ATPases. For instance, the sodium-driven Na + -F 1 F O -ATPase of Acetobacterium woodii has an unusual cring, the assembly of which has been shown to require the assembly factor AtpI, which could not be replaced by analog Escherichia coli AtpI 26 . This c-ring is comprised of two different types of subunits with a stoichiometry of 9:1 (c 2/3 :c 1 ) as previously determined by laser-induced liquid bead ion desorption mass spectrometry (LILBID-MS) 27 . LILBID allows for the soft ionization of proteins and complexes and is therefore well suited to analyze stoichiometries and binding events. In the LILBID process, the aqueous sample of interest is introduced into the mass spectrometer via a piezo-driven droplet generator, producing droplets with a diameter of 50 μm at a frequency of 10 Hz. These are then irradiated with an IR laser tuned to the O-H stretching vibrations of water, leading to an explosive expansion of the  Fig. 1 Dependence of ATP/Mg 2+ in the assembly process of bacterial F-type ATP synthases. a, b LILBID spectrum of in vitro α and β assembly: the α-(light blue) and β-subunit (dark blue) either without a or with b 2 mM ATP and 2 mM MgCl 2 . In presence of ATP/Mg 2+ the mass spectrum shows the formation of a specific αβ heterodimer assembly, but no higher αβ oligomers. c High-performance Liquid Chromatography (HPLC) of in vitro α (light blue) and β (dark blue) assembly: the addition of 2 mM ATP and 2 mM MgCl 2 to α and β lead to αβ heterodimer formation displayed by a shift from 12.27 min (light green area) to~11.26 min (light red area). The elution peak at 13.25 min is owing to the high ATP concentration. d Model of bacterial F-type-ATPase: the soluble module F 1 is organized by α-(light blue), β-(dark blue), γ-(dark green), δ-(yellow) and ε-subunit (light green). Source data underlying a-c are provided as a Source Data file. droplets and setting the solvated biomolecule to be analyzed in a time-of-flight mass spectrometer.
Additional studies have shown the assembly of bacterial F O to depend on the signal reconstitution particle pathway, SecYEG translocon, and YidC, which are required for the co-translational insertion of subunits a and b 28 . Although c-subunits and subunit b can be co-translationally reconstituted in the membrane independently of subunit a, the stable insertion of subunit a requires the presence of subunits b and c 29 .
The bacterial F 1 module α 3 β 3 γε assembles independently of the membrane-bound F O part 7,30 . In vitro reconstitution of isolated α-, β-, and γ-subunits support the possibility of in vitro formation of a functional active α 3 β 3 γ-subcomplex 31,32 . However, detailed studies of the assembly of bacterial F 1 from single subunits are still missing. As two F 1 -specific chaperones, Atp11p and Atp12p are known to be functionally relevant for the assembly and solubility of β and α 33 in mitochondria, whereas no such chaperones are identified in bacteria, the question arises if chaperones are relevant for the bacterial F 1 assembly.
In this work, we use LILBID-MS to investigate the assembly process of the F 1 complex of an A. woodii F-type ATPase. We probe the in vitro assembly of the separately expressed subunits, and propose a well-choreographed assembly pathway into functional F 1 complexes. By comparing in cellula and in vitro (sub) complexes with regard to stoichiometries, ATPase activity, and stability, we conclude that-while chaperones may not be required for the correct assembly of these complexes-they assist in structurally fine-tuning the protein assembly, which is essential to reach full activity.

Results
Role of ATP for the in vitro assembly process of bacterial F-type ATP synthases. As the assembly mechanism of the bacterial F-type ATP synthase, in particular, for the soluble F 1 module, is mostly still unclear, we aim to shed light on this process. We determine individual subunit interactions, relevant conditions and also investigate whether the assembly of all different subunits follows a specific order.
In a first step, we purified recombinant subunits (α, β, δ, and γε) of the soluble part F 1 individually. Attempts to express the γsubunit in E. coli separately yielded insoluble aggregates (inclusion bodies). Therefore, we cloned the genes atpG and atpC bicistronically in the expression vector and purified the central stalk γε to generate higher complex stability and protein solubility ( Supplementary Fig. 8). To investigate individual assembly steps we incubated different subunit combinations under different assembly conditions and determined with LILBID-MS and High-performance liquid chromatography (HPLC) experiments, which complexes did or did not form. The resulting (sub)complexes represent key steps in the assembly process. To ensure the relevance of the observed in vitro subcomplexes for the in cellula processes in the cell and for comparison of structure, complex stability, and bioactivity, we then set out to produce homologous subcomplexes in cellula.
Incubation of recombinant α and β in vitro in ammonium acetate buffer without any additives shows no specific α/βoligomerization into higher subcomplexes (Fig. 1a), suggesting that our experiment is missing something essential. The cytoplasmic concentrations of ATP in active cells are known to be approximately in the range of 2-5 mM 34 , which prompted us to test the relevance of ATP for this assembly. As MS resolution can be affected by additives, we stayed in the lower range of the native concentration and incubated the same proteins with 2 mM ATP and MgCl 2 (Fig. 1). (Effect of ATP/Mg 2+ on LILBID-MS spectra is shown in Supplementary Fig. 1). Figure 1b demonstrates that the addition of ATP/Mg 2+ leads to specific αβ heterodimer formation only (no unspecific homodimers) with a charge state distribution (−1 to −3). Interestingly, no higher α/ β subspecies can be identified, even though ATPases are known to form a hexameric head, containing three αand β-subunits, respectively. As in cellula comparison, we purified and isolated an αβ complex from E. coli, which we then analyzed under the same in vitro conditions. The in cellula αβ complex showed the same heterodimer and no higher oligomeric states either (Supplementary Fig. 2). It should be noted that the in vitro formed αβ heterodimers need the presence of ATP/Mg 2+ not only for formation but in order to remain stable, as can be seen from measurements, for which the buffer is slowly diluted during the LILBID-MS run ( Supplementary Fig. 1). Reduction of the ATP/ Mg 2+ concentration during LILBID-MS goes along with an increase in the signal resolution but reduced complex stability. Interestingly the in cellula αβ complex seem less prone to dissociation at reduced ATP/Mg 2+ concentration (Supplementary Fig. 2), which is the first hint that assembly of α and β in vitro and in cellula might lead to slightly different heterodimers.
For comparison with the LILBID-MS results we investigated the in vitro assembly of subunit α and β by an alternative analytical method: size exclusion chromatography (SEC) by HPLC, using the SEC column with a protein separation range of 10-700 kDa (Fig. 1c). The chromatograms show a shift into a shorter elution peak time confirming αβ heterodimer formation only upon the addition of 2 mM ATP and MgCl 2 . LILBID and SEC experiments both showed (Fig. 1a-c) that the additives ATP/ Mg 2+ are crucial for the in vitro assembly of subunits α and β of Na Assembly studies of single isolated subunits with next neighbors. After determination of the appropriate assembly conditions, we are now in a position to analyze the entire assembly process including subunits α, β, δ, and γε. As it was not yet clear, if the assembly follows a clear step by step order we tested every possible combination of subunits for binding in the same manner as described above and investigated which prior binding steps are prerequisite for other binding steps to follow (all binding experiments are listed in Fig. 2a). Figure 2 gives an overview of all possible subcomplexes which we observed after incubation of different combinations of subunits. This provides information about next neighbor interactions and the order of assembly steps within the F 1 complex. As mentioned above we can observe αβ heterodimer assembly under the right assembly conditions-but no higher-order oligomers, if just these two subunits are present (Fig. 1b). Similarly, we observe that upon incubating either subunit α or β with the γε complex, a single subunit α or β can bind to the γε complex, forming αγε or βγε complexes, respectively. These complexes are seen under soft laser conditions (laser energy 8 mJ). Already medium laser desorption conditions, allow the ε-subunit to dissociate from the γε complex ( Supplementary  Fig. 9c, d), giving rise to αγ or βγ complexes. This shows that α or β bind to the γ-subunit, whereas the ε-subunit is only weakly bound to γ and not directly involved in the interaction with α or β.
As subunit α and β alone can only form heterodimers and only a single α or β can bind to γ if incubated alone, the next step was to purify and incubate recombinant α, β, and γε in presence of 2 mM ATP/MgCl 2 . Mass spectrometric analysis showed the formation of the α 3 β 3 γε-subcomplex which we could identify at a mass of 378 ± 13 kDa (theoretical protein mass 378.272 kDa) and a charge state distribution from −1 to −5 (Fig. 3). In contrast, no higher subcomplex formation was observed if the same experiment was performed without ATP/Mg 2+ . This implies that these additives are vital for the entire in vitro reconstitution process providing complex stability.
Including the δ subunit in the incubation then led to its association with the preformed α 3 β 3 γε complex resulting in the fully assembled F 1 -complex α 3 β 3 δγε with a determined protein mass of 399 ± 8 kDa (theoretical mass: 399.809 kDa) and a charge state distribution of −1 to −3 (Fig. 3d). The spectrum shows the fully assembled F 1 -complex, as well as subcomplexes α 2 β 2 γε, αβγε, and αβγ, which could stem from incomplete assembly or dissociation. Surprisingly our spectra show no subcomplexes with an odd number of α or β subunits, indicating that the αβ heterodimer is the stable basic binding block from which the hexamer is built up. No δ is seen binding to any of the single subunits, which is in line with studies showing the interaction of δ with α-subunits only if complexed with other F 1subunits 35 . No δ binding is seen for any of the mentioned subcomplexes either (Fig. 2a and Supplementary Fig. 9a, b), suggesting the fully assembled αβ-hexamer to be a prerequisite for binding of δ. Combined the observed on-pathway subcomplexes en-route to the F 1 complexes allow proposing the ATPase assembly to occur only via the binding of preformed αβ heterodimers onto the γ-subunit, to form the hexameric head, which then allows for binding of δ. As γ could not be purified separately we could not perform binding experiments with and without ε to determine, if ε is a prerequisite for binding of the αβ dimers onto γ, or if the hexameric head might form around γ independently of ε.
For comparison, we then attempted to purify and isolate all proposed on-pathway subcomplexes in cellula. All expected complexes (Fig. 2c) could be purified. In addition, we could purify complexes lacking ε, but still include the hexameric head. This allowed us to conclude that the hexameric head forms around γ independently of ε, which therefore has multiple entry points into the assembly pathway. Mass spectrometric analysis ( Supplementary Fig. 7) reveals, as for the in vitro complexes, only complexes with the same amount of α and β subunits, supporting the αβ heterodimer as a basic building block. Incubation of δ with ATP/Mg 2+ dependence of the in vitro assembly process of the full F 1 complex of Na + -F 1 F O -ATP synthases of A. woodii. The α-(light blue), βsubunit (dark blue), γε-complex (dark and light green) were incubated at 4°C for 1 h either without (a) or with (c) 2 mM ATP and 2 mM MgCl 2 . Then the δ-subunit (yellow) was added (b, d). a, b No specific assemblies into higher F 1 -subcomplexes could be detected without ATP/Mg 2+ . The appearance of the γ subunit alone is due to dissociation. (See as well Supplementary Fig. 8c). c, d In presence of ATP/Mg 2+ the fully assembled F 1 can be identified with additional F 1 subcomplexes (e.g., α 2 β 2 γε, αβγε, αβγ) implying pairwise specific αβ heterodimer association. The δ-subunit can only bind when a complex containing the hexameric head domain α 3 β 3 is already preformed. Source data are provided as a Source Data file.
the in cellula complex as well confirms our in vitro results, which showed δ to only bind onto the complete αβ hexamer. Interestingly, the in cellula α 3 β 3 γε complex ( Supplementary  Fig. 7) shows a significantly higher complex stability even without the addition of ATP/Mg 2+ than the in vitro complex (Supplementary Fig. 2e, f). This difference could be very interesting, as it might show that there are deviations in the in cellula and in vitro assembly, possibly owing to structural differences of the proteins. An alternative explanation would be steric hindrances due to the tags, which are part of our in vitro purified proteins. The in vitro studies were performed on N-terminal StrepI-α and His 6 -β, C-terminal His 6 -δ, and γε (His 6 -tag located on subunit ε), whereas the in cellula complex was expressed with only one N-terminal His 6 -tag on the β-subunit. For comparison, we purified a complex, which includes the same tags on every subunit as our isolated purified subunits, which we name α 3 β 3 γε* for distinction. The mass spectrum in Supplementary Fig. 6a shows that the tags are not responsible for destabilization of the complex.
Remarkably the in cellula complexes are not only stable without ATP/Mg 2+ addition that is crucial for the in vitro complexes, but even the last assembly step association of δ to in cellula purified α 3 β 3 γε and α 3 β 3 γε* pre-complexes forming the full F 1 -complex ( Supplementary Fig. 6) is ATP/Mg 2+ independent.
The role of ATP hydrolysis vs. nucleotide binding for the in vitro assembly process of bacterial F 1 -ATPase. The important role of ATP hydrolysis for the function of ATP synthases is unquestioned and we have as well observed the significance of ATP for complex assembly. Nevertheless, it is not yet clear, whether ATP hydrolysis or only nucleotide binding is required for the F 1 assembly process. Therefore, we repeat the described assembly experiments with α, β, and γε, but replace ATP by non-hydrolysable ATP analogs, such as ADP, adenylyl-imidodiphosphate (AMP-PNP) and adenosine 5′-[γ-thio]triphosphate with a concentration of ATP/ATP analogs and Mg 2+ at a concentration of 2 mM.
The obtained MS spectra with non-hydrolysable ATP analogs ( Fig. 4b-d) shows the successful formation of larger F 1subcomplexes. Interestingly all ATP analogs allow the formation of α 3 β 3 γε apart from AMP-PNP, which generates only α 2 β 2 γε subcomplexes and not the expected α 3 β 3 γε complex; which could be due to differences in the chemical geometry of AMP-PNP. We speculate that the free electron pair of nitrogen might sterically inhibit the assembly of the last αβ heterodimer to the complete α 3 β 3 hexamer. Generally, this confirms that ATP hydrolysis is not required for assembly, but nucleotide binding is the essential factor triggering the in vitro complex formation.
Importance of charged residues in the catalytic sites of bacterial F-type ATP synthases. After determining the crucial effect of ATP binding for ATPase assembly, we want to shed more light on this process. Recent studies have shown the importance of charged residues for the ability of Pi -binding at the catalytic sites of the αβ interface of the hexameric head. The replacement of charged amino acids with neutral residues induced reduced cell growth and loss of ATPase activity, suggesting the electrostatic interactions between amino acids to be crucial for initial phosphate binding in the catalytic sites 34 [36][37][38] . We want to deduce if these mutations affect ATPase activity via their influence on the ability of the complex to bind/ hydrolyze ATP or if the effect might be even more drastic and influence the complexes assembly. Therefore, we introduced homologous point mutations in conserved regions in α[R363Q, R363K] and β[K159Q, R186Q, R251Q] in the A. woodii operon (Fig. 5).
To investigate the effect of these charged residues in the catalytic site we first analyze the binding efficiency of ATP to α, β, and different mutants with nano electrospray-ionization (nESI) (Fig. 6), which allows observing the number of bound ATP. The deconvoluted MS-spectrum in Fig. 6a Fig. 4 Role of ATP hydrolysis vs. nucleotide-binding in the assembly process to F 1 of bacterial F-type ATP synthases. LILBID spectra of in vitro α, β, γε assembly: The α-(light blue), β-subunit (dark blue), γε-complex (dark and light green) were incubated with 2 mM MgCl 2 and 2 mM of a nucleotide at 4°C for 1 h. Complex formation is observed after incubation with ATP (a), AMP-PNP (b), ADP (c), and ATP-γ-S (d). Full α 3 β 3 γε assembly can be identified next to small amounts of other F 1 subcomplexes (e.g., α 2 β 2 δγε α 2 β 2 γε, αβγε, αβγ), for ATP as well as the non-hydrolysable ATP analogs, apart from AMP-PMP, where the highest observed complex is α 2 β 2 γε. Source data are provided as a Source Data file. The dominating species is clearly the one with one bound ATP, indicating specific binding. In contrast, peaks trailing for the mutant β[K159Q] (Fig. 6b) suggest non-specific ATP binding only. Figure 6c shows the differences in ATP binding for the investigated α and β subunits and their respective mutants. Seeing that charged residues in the catalytic site can influence ATP-binding, we wanted to assess, if reduced ATP-binding affinity had an effect on the in the vitro assembly process. Therefore, we performed the same HPLC and MS experiments as for the wildtype α-β incubations. In vitro assembly of the α and β mutant constructs was then probed by LILBID-MS. Interestingly, we observe that under the same experimental conditions, which show stable heterodimers of wildtype α and β (Fig. 1b), we do not detect stable αβ heterodimers for α[WT] incubated with β[K159Q] (Fig. 7a) or any of the β mutants ( Supplementary Fig. 5). This suggests that all β mutations affect stability to the extent that dimers can still be observed with HPLC (to a different degree) but are much reduced in the LILBID spectra. Similarly, we see clearly decreased dimerization for β[WT] with α[R363Q] (Fig. 7c). A point mutation at the same position which retains the charge of the original amino acid (α[R363K]) shows no effect, as it does not hinder the formation of the αβ heterodimer ( Supplementary  Fig. 3).
As our experiments so far indicate that the formation of the αβ heterodimer is decisive for further complex formation, the mutations, which impede the heterodimer, should affect the formation of higher-order F 1 -complexes as well. Our mass spectra confirm that incubation of α[WT], β[K159Q] and the central   stalk γε does not lead to the α 3 β 3 γε complex (Fig. 7b), which we observed with the wildtype β (Fig. 3c) Fig. 5). In contrast assembly of the mutant α[R363Q], β[WT] and the central stalk γε generates a larger complex-but interestingly not the expected hexameric head but subcomplex α 2 β 2 γε (Fig. 7d). This indicates that replacing the arginine with the uncharged glutamine in subunit α has an effect on the assembly process, which is less pronounced than the effect of the above-mentioned substitutions in subunit β, but still hinders the formation of the correct αβ hexamer.
Order of assembly steps into F 1 . The combined results obtained with LILBID and nESI-MS and HPLC allow us to establish all subcomplexes which form in vitro en route to the full complex as well as the necessary assembly conditions. As these assemblies take place in a minimal environment, compared to a cell, we need to guarantee that the observed subcomplexes are not just the result of aggregation, but can occur in the same manner in the cell. Therefore, we expressed the subunit combinations, which we found in our assembly experiments directly in E. coli cells for comparison. We were able to obtain all anticipated subcomplexes with the same stoichiometries ( Supplementary Fig. 7). Based on these findings, we can follow the individual assembly steps and establish their order for the formation of bacterial soluble F 1 domain of F-type ATP synthases (Fig. 8).
Overall our results show that, αand β-subunits assemble specifically to αβ heterodimers only in presence of nucleotides and Mg 2+ (Fig. 1, Fig. 3 and Fig. 4) while surprisingly not forming higher subcomplexes (e.g., αβ 2, α 2 β, α 2 β 2 etc.) least of all the expected hexameric head (α 3 β 3 ). The α and β subunits can both bind individually to the central stalk γ, but only little binding is observed and in a maximal copy number of one ( Supplementary  Fig. 9c, d), unless α and β dimerize first. Three pairs of αβ heterodimers bind either to the central stalk γ or a preformed γε complex to generate stable α 3 β 3 γ or α 3 β 3 γε complexes, respectively. The relevance of these in vitro results is shown in our heterologously expressed subcomplexes α 3 β 3 γ and α 3 β 3 γε which we can isolate as stable and bioactive complexes in cellula ( Supplementary Fig. 7). The δ-subunit binds to the in cellula or in vitro pre-complexes containing the hexameric head ( Fig. 3d and Supplementary Fig. 6), which generates the full F 1 complex.
As isolated subunit γ could not be purified in E. coli for stability reasons, we purified γε ( Supplementary Fig. 8), so our assembly studies did not include binding of ε and γ analogously to all the other binding experiments. The complete aggregation of the γ-subunit into inclusion bodies in the bacterial matrix during the overexpression could suggest that the ε-subunit is essential for the stabilization of the central stalk ( Supplementary Fig. 8), which would place binding of ε to γ as a first step parallel to the formation of the αβ heterodimer, before further assembly steps occur. Nevertheless, expression of in cellula subcomplexes showed that α 3 β 3 γ can be expressed as a stable subcomplex, which indicates that binding of ε is not an essential prerequisite for any further assembly to the F 1 complex. ε could therefore enter the assembly network at different times, as we indicate in Fig. 8.
Interestingly, we observe some differences between our in cellula and in vitro complexes: the in cellula preformed complexes are stable in a buffer without nucleotide-and Mg 2+ and the binding of δ to any complexes including the hexameric head can then be performed in vitro without nucleotide-and Mg 2+  addition. The same assembly experiment with the in vitro formed α 3 β 3 γε complex requires nucleotide-and Mg 2+ addition, to hinder disaggregation of the complexes. This could be explained, if the F 1 -subcomplexes formed in cellula and in vitro shared the same assembly pathway and stoichiometry, but a structural change occurring in the cell to stabilize the formed complex, potentially by more tightly retaining bound nucleotides, were missing in vitro, which is a question we will come back to later. Figure 8 depicts a full summary of the different assembly steps of the soluble part F 1 as determined by our experimental data. The entire assembly process follows a choreographed pathway, which allows for efficient construction of the F 1 complex.
ATPase activity of in vitro assembled A. woodii αβ and α 3 β 3 γε complex. In general, many macromolecular complexes need molecular chaperones, which assist for example in the conformational folding or assembly processes. In mitochondria, it is known that the F 1 -assembly of the hexamer of alternating αand β-subunits requires two specific chaperones, Atp11p and Atp12p, that bind transiently to β and α 33,39 . Our previous results demonstrate that the bacterial F 1 -assembly can occur independently of chaperones. This was a surprising finding, as a generally accepted hypothesis expects the bacterial F 1 -assembly to as well depend on chaperones. So far one such Atp12p homolog has been identified in proteobacteria 40 . The question arises, if chaperones are not needed at all, or if their presence might be required, if not for assembly, then to guarantee correct function and activity.
To answer this question, we investigated our in vitro assembled complexes for bioactivity. We performed ATP hydrolysis experiments with all of the separately expressed constructs (α, β, γε, and ε) and the in vitro assembled αβ and α 3 β 3 γε complexes using an enzyme-coupled activity assay 41,42 . For in vitro complex formation, the subunits were incubated with 4 mM MgCl 2 and ATP with subunit stoichiometries of 1:1 for the αβ heterodimer, and 3:3:1 for α 3 β 3 γε. All subunits and subcomplexes showed moderate ATPase activity (Fig. 9a).
We could determine ATPase activities for the βand α-subunit of 1.5 ± 0.4 and 2.0 ± 1.4 mmol [ATP]/(mol[protein] · s), respectively. These are quite similar and do not reflect the threefold higher ATPase activity of α previously seen in E. coli 32 .
As isolated subunit ε was already known to bind ATP 43 and has to undergo large conformational changes to regulate the ATPase 44 we hypothesized that ε as well undergoes hydrolysis. Interestingly, the isolated ε-subunit showed a hydrolytic activity of 34 ± 14 mmol [ATP]/(mol[protein] · s), which is one magnitude higher than that of the single catalytic β-subunit. The enzymatic hydrolytic activity of γε was measured at 30 ± 13 mmol [ATP]/(mol[protein] · s) placing the overall activity of γε very similar to ε, suggesting no contribution from γ.
The ATPase activity calculated for the in vitro assembled αβ heterodimer is 6.9 ± 2.2 mmol [ATP]/(mol[protein] · s), assuming incubation leads to full complex formation. As this might not be the case, all molar activities of in vitro complexes have to be seen as a conservative estimate-if full complexation could be guaranteed the observed values would likely be higher. Nevertheless, the observed hydrolytic activity is about twice the sum of the individual α and β activities, supporting the relevance of the αβ heterodimer as a building block and working unit of the ATPase. Surprisingly this value stays clearly below the hydrolytic activity of ε.
The reconstitution based on the incubation of α, β, and γε resulted in a hydrolytic enzymatic activity of 60 ± 4 mmol [ATP]/ (mol[protein] · s). Interestingly, the activity of this in vitro assembly is not much higher than the sum of the ATPase activities of the utilized subunits. The increased activity (factor 1.5) of the now complexed subunits stems mainly from the increase of activity seen for the formation of the three required αβ heterodimers.
Similarly, the in cellula purified αβ and α 3 β 3 γε* were investigated. The ATPase activity for both is noticeably beyond anything we observed for in vitro complexes (1.60 ± 0.14 and 9.06 ± 0.15 mol [ATP]/(mol[protein] · s), respectively) ( Fig. 9a  and b). These values cannot be compared directly with those Fig. 8 Order of assembly steps into bacterial F 1 . a As a first step α-subunits (light blue) and β-subunits (dark blue) form αβ heterodimers, which requires the presence of nucleotides and Mg 2+ . b As next step three of these heterodimer building blocks assemble pairwise to the central stalk γ (dark green). Only after the formation of the full hexameric head, the δ-subunit (yellow) is able to bind. The ε-subunit (light green) can join into the assembly process at all intermediate step en-route to the F 1 complex.
obtained for in vitro complexes, for which the individual subunits do not fully form complexes. Nevertheless, the activity of the in cellula αβ heterodimer alone is already much higher than that of the in vitro assembled α 3 β 3 γε complex. Similarly, the in cellula α 3 β 3 γε * shows an activity way beyond the sum of its components. This indicates that the in vitro conditions allow for the correct assembly of the functional subunits, which then retain their individual ATPase activity, while the cellular environment allows for modifications, which increase the ATPase activity of the αβ heterodimer and the whole ATPase, way beyond that of the sum of its parts.
Stability studies of in cellula vs in vitro assembled heterodimers with ion mobility MS. The observed differences in bioactivities as well as stability without ATP/Mg 2+ for our in cellula and in vitro complexes suggest that additional effects besides assembly are required to form an active complex. We assume conformational changes to play a role, possibly triggered by chaperones.
The relevance of the αβ heterodimer formed as a first step in the ATPase assembly and the differences observed in our in cellula and in vitro studies, makes the heterodimer a very interesting candidate to investigate if the changes in activity can be correlated to structural changes. Noticeable structural rearrangements should be accompanied by a change in collision cross-section (CCS), which can be monitored by ion mobility (IM) MS, while changes to the intrinsic stability can be revealed by differences in collision-induced unfolding (CIU) experiments. To validate our assumption, we investigate the heterodimer for differences between in cellula and in vitro formed complex. We select in both cases the 22-times charged αβ heterodimer in our nESI mass spectra as precursor ion which is analyzed via IM MS in dependence of the applied collision voltage. IM allows the separation of ions based on their mobility through an inert gas under the influence of an electric field. Increasing the collision voltage can lead to CIU and then dissociation of the complex. The energy required to cause CIU can be correlated to the complex stability. In the resulting IM fingerprint of the in cellula assembled αβ heterodimer, the IM signal appears for low collision voltages at 7595 Å 2 and 7630 Å 2 for the in cellula and the in vitro complex, respectively (Fig. 10) These values correspond to the compact feature of the folded complexes and already suggest slight structural differences. An increase of collision voltage leads to protein unfolding, which is accompanied by an increase in CCS. The original IM signal decreases partially in favor of a signal at 7802 Å 2 (in cellula) and 7851 Å 2 (in vitro), representing the corresponding unfolded structure of the αβ heterodimer. 50% of the in vitro assembled αβ heterodimer unfolds at collision voltages of 152.6 V and appears at a slightly higher CCS compared to the in cellula assembled αβ, which preserves the compact state for >50% even at the highest collision voltages. This indicates that the in vitro structure is less stabilized against unfolding than the in cellula assembled αβ. This can be seen more clearly in the difference plot (in vitro minus in cellula, Fig. 10c), which helps to compare specific features of each fingerprint directly. In addition, it reveals a significantly broader IM signal for the compact, as well as the unfolded state for the in vitro assembled αβ heterodimer indicating a less homogenous structure for the in vitro than for the in cellula αβ heterodimer. We conclude that the more defined structure and increased stability of the in cellula heterodimer are structural properties, which can be correlated to the increased ATPase activity.

Discussion
The aim of this study is to better understand the assembly process of an ATPase-a large heterogeneous macromolecular complex, with eight different subunits. We determined conditions required for the whole in vitro assembly process into the soluble part F 1 of A. woodii ATPase from single purified F 1 -subunits. We followed the assembly process in vitro step by step from subunits via the subcomplexes, which form (or do not form) after incubation of different subunit combinations. To verify that the observed complexes on pathway to the F 1 complexes are meaningful and can assemble in the same stoichiometries in the cell, we expressed a variety of in cellula F 1 subcomplexes. We could purify all of the on-pathway complexes in cellula, which allowed comparison of in vitro vs. in cellula formed complexes.   In vitro data were collected in biological quadruplicates (n = 4) except ε with three biological replicates (n = 3) and in cellula data were collected in biological triplicates for αβ (n = 3) and technical duplicates for α 3 β 3 γε* (n = 2). Source data underlying Fig. 9a and b are provided as a Source Data file.
Although the presence of nucleotides and Mg 2+ is known to be required for F 1 assembly of E. coli 31 , for the thermophilic bacterium PS3 the formation of an α 3 β 3 hexamer has been shown to occur independently of ATP/Mg 2+ 45 , showing that this is not a universal requirement. Here we find for the mesophilic A. woodii that the presence of ATP/Mg 2+ is essential for complex formation (Fig. 1, Fig. 3), up to the α 3 β 3 γε. We reveal that it is ATP binding that triggers the in vitro assembly and not ATP hydrolysis (Fig. 4).
We could demonstrate that the incubation of α and β leads to the formation of the heterodimer without the formation of any higher αβ oligomers. Only incubation in the presence of the central stalk γε allowed further assembly into larger complexes including the hexameric head-on the pathway to the F 1 (Fig. 2). The lack of complexes with odd numbers of α and β subunits (Figs. 3, 4, Supplementary Fig. 7) shows that the formation takes place with the αβ heterodimers as basic building blocks. As we were able to express and purify intact α 3 β 3 γ complexes without the presence of ε we can conclude that it is the central stalk subunit γ, which is crucial for generating a stable α 3 β 3 hexagon out of αβ heterodimers, while ε can join at different stages of the assembly. Including δ in our assembly studies could show that δ does not bind to isolated α or β (Supplementary Fig. 9a-b). Only after the formation of the hexameric head, the subunit δ can bind, resulting in the full F 1 complex (Fig. 2, Supplementary Fig. 6), which can occur ATP/ Mg 2+ independent (Supplementary Fig. 6). Overall, our in vitro assembly experiments in combination with the complexes which can be assembled in cellula give a full picture of a wellchoreographed assembly process, as shown in Fig. 8.
Point mutations in the catalytic interface of α (at position R363), and β[K155, R182, R246] which replace positively charged amino acids with neutral residues, demonstrated that such modifications can but do not have to have a direct effect on ATP binding efficiency. HPLC runs still showed the in vitro assembly of αβ heterodimers for all combinations of one wildtype and one mutated subunit (Fig. 6d-i), albeit with affected complex stability, as incomplete dimer assembly is observed for those mutants with reduced ability to bind ATP. This effect on stability is even more pronounced in the LILBID-MS results, which show reduced or no αβ dimer for all mutants which substitute a charged with a neutral amino acid ( Fig. 7a and b, Supplementary Fig. 5). Substitution of one charged amino acid for another α[R363K] had no influence. This demonstrates that those point mutations, which remove a charge in the αβ interface, cause a decrease of αβ heterodimer stability. In vitro assembly experiments with α and any β mutant, which included γε did not yield any higher complexes. An interesting finding was that for the α mutant α[R363Q], stable αβ heterodimers and even higher F 1 subcomplexes, including one or two heterodimers ( Fig. 7c and Supplementary Fig. 3) can still form, albeit no complex with a complete hexameric head can be detected (Fig. 7d). A similar disturbance was found for incubations of wildtype subunits with AMP-PNP, which might sterically influence the assembly. This shows that even if αβ dimer formation is possible, the assembly of the hexameric head, which has to function via large conformational changes in a very tightly controlled manner, is a precise process, which can be hindered by small disruptions.
Our in vitro assembly studies prove that no direct involvement of chaperones is necessary for the correct reconstitution of the F 1 complex from the individual subunits (Fig. 8). Based on the known relevance of chaperones for complex formation in cells this is a surprising finding. Therefore, the question arises: If chaperones are not essential for the in vitro assembly of the F 1 - b In vitro assembled αβ heterodimer. Exemplary spectra are shown in Supplementary Fig. 10. At low collision voltages the IM signal of the αβ heterodimer appears at 7595 Å 2 for the in cellula and at 7630 Å 2 for the in vitro assembled αβ heterodimer, respectively. At higher collision voltages the signal of the in vitro assembled αβ heterodimer unfolds, resulting in a signal at 7851 Å 2 . At 152.6 V 50% has reached the unfolded state. In contrast, increasing the collision voltage in the case of the in cellula formed αβ heterodimer leads to a signal appearing at 7802 Å 2 . 50% unfolding is never reached-the maximal unfolding of 47% is observed at 200 V. c The difference plot of both fingerprints illustrates the change regarding unfolding behavior between in vitro and in cellula assembled heterodimers. d-f CCS distribution for different collision voltages for in vitro (d) and in cellula (e) assembled heterodimers, and the difference plot (f). The overall feature of the in vitro αβ is clearly broader than for the in cellula αβ.
ATPase, could they be relevant to ensure the bioactivity and function of the enzyme? To shed light on this question, we correlate our assembly results with an enzyme-coupled activity assay for single isolated F 1 -subunits, in cellula and in vitro formed complexes (Fig. 9). The first building block is the αβ heterodimer.
The in vitro assembled αβ shows an activity, which is about twice as high as the mere sum of the α and β activity. This effect is not big, so it could be based on the ATP hydrolysis taking place in the αβ interface, which would offer a better binding pocket for the nucleotide. A much larger effect is seen in the comparison with the in cellula αβ dimer. Mass spectrometric analysis (Fig. 1b) and HPLC (Fig. 1c) measurements confirm the efficient, albeit not complete heterodimer assembly, so exact comparison of in cellula and in vitro activity is difficult. Assuming that about half of the possible dimers form in vitro, a conservative estimate would put the activity of the in cellula purified protein complex at least a factor of 100 above that of the vitro assembled complex. This suggests a principle difference in the heterodimers, leading to much higher bioactivity of complexes formed in a cell. This could be explained by a structural difference of the in vitro and the in cellula formed heterodimer.
To further investigate this assumption, we perform stability studies with in cellula (Fig. 10a, d) and in vitro (Fig. 10b, e), formed αβ heterodimers by means of mass spectrometry CIU experiments, which we monitor by IM MS. At moderate collision voltages, the IM plots show signals at similar CCS about 7630 Å 2 for the in vitro and 7595 Å 2 for the in cellula-formed complex. Noticeable is the comparably broad signal distribution for the in vitro complex as opposed to the in cellula dimers. Comparison of both IM plots is most intuitive in the difference spectrum of both IM plots (Fig. 10c, f). This implies that the in cellula assembled αβ heterodimer is present with a more homogenous structure, while the in vitro formed complexes seem less defined. The comparison of both complexes during the CIU experiment demonstrates that in vitro assembled αβ unfolds at a lower voltage than the in cellula formed heterodimer, validating that the in cellula formed complex is intrinsically more stable than the in vitro construct. These are interesting observations in the light of the subunit β's ability to undergo four different conformations with different nucleotide-binding affinities, tight (T), loose (L), closed (C), and open (O) resulting in ATP hydrolysis/synthesis 46 . The stable and homogeneous conformation found for the in cellula complex might suggest a potentially chaperone-induced bias towards a single conformation, which supports assembly. In our, in vitro assembly assays no such bias towards a specific conformation is induced, explaining the differences in stability and hydrolysis activity. This structural difference propagates to the whole in vitro F 1 which can be seen in the dependence on ATP/Mg 2+ of the in vitro F 1 complexes to prevent dissociation (Supplementary Fig. 2e and f), which is less of an issue for their in cellula counterparts (Supplementary Fig. 7). This will as well be the reason behind the much higher ATPase activity of the in cellula complexes. A precise investigation of the structural conformation of the subunits/ subcomplexes compared to in cellula complexes will be the focus of future studies.
What is known about the role of the ε subunit so far, is its relevance in the coupling of the soluble part F 1 with the membrane-embedded F O and its regulatory role in the inhibition of ATP hydrolysis activity 21,24,25,47 . Interestingly, our ATP activity assays revealed that isolated purified ε itself shows an ATP hydrolysis activity, which is surprisingly even higher than for subunit β. The ε-subunit in bacterial F 1 F O is known to perform its regulatory function, by taking a hairpin or extended conformation 7,48 , and isolated subunit ε of Bacillus subtilis was found to be able to bind ATP 43 . Our results suggest that this extensive conformational change is driven by ATP hydrolysis.
All in all, we could show that the soluble F 1 part can be reconstituted in vitro from the purified F 1 -subunits in presence of nucleotide and Mg 2+ . Our studies have provided an exciting overview of the step-by-step assembly via well-defined subcomplexes towards the full complex, with a preformed αβ heterodimer as an essential building block. Our results show the special roles, especially of subunits β and ε for the functional complex. Differences in the ATPase activity of the generated F 1 complex generated in vitro and in cellula seem to be based on structural differences suggesting that bacterial chaperones and/or other cellular effects (i.e., molecular crowding) may not be needed for correct stoichiometric assembly of the ATPase but assist to fine-tune the assembly into a fully functional F 1 .

Methods
Cloning expression vectors of the A. woodii F 1 ATP synthase. Using pKB3-His (a pET21a[+] vector derivative) as a master plasmid, which was kindly provided by Karsten Brandt (Müller laboratory 27 at Goethe University), we performed PCR for cloning of deletions or point mutations and ligation independent cloning with the In-Fusion HD Cloning Kit (Takara Bio). For cloning of single genes encoding for subunits and subcomplexes of F 1 (atpHAGDC for subunit δ, α, γ, β and ε) with an N-or C-terminal tag (StrepI-or His 6 -tag) were cloned into a commercially available pET21a(+)-vector (Novagen). All generated plasmids are listed in Supplementary Table 1. A list of primers, used for cloning the respective plasmids is given in Supplementary Table 2. Stellar competent cells (Takara Bio) were used for plasmid amplification. All constructs including mutations were verified by sequencing (Microsynth Seqlab).
Purification of heterologous F 1 ATP synthase subunits and subcomplexes of A. woodii containing a His 6 -tag or a Strep-tag. All constructs were transformed in E. coli BL21gold(DE3) competent cells (AgilentTechnologies) following the provided manual. Lysogeny Broth (LB) Agar (Lennox) transformation plates supplemented with 100 µg/mL ampicillin were used for the transformation of all constructs. Cell colonies were grown at 37°C overnight and stored at 4°C for up to 2 weeks. A single clone was picked to inoculate a pre-culture of LB containing the respective antibiotic and was grown at 37°C and 150 rpm overnight. Pre-culture was inoculated in the main culture of Terrific Broth medium supplemented with respective antibiotics. Cells were cultivated at 37°C and 150 rpm until an OD 600nm of 0.5-0.7 was reached. After inducing protein overexpression in the main culture with 0.25 mM Isopropyl-β-D-thiogalactopyranoside (IPTG) the protein expression was performed at 20°C and 150 rpm overnight. The cells were harvested by centrifugation at 4000 × g for 20 min at 4°C. The isolated cell pellets were resuspended in 20 mL wash buffer I (50 mM KP i , 200 mM NaCl, 20 mM imidazole, 10% (v/v) glycerol, pH 7.4) supplemented with 1 mM EDTA and DNAse I. Using a French Pressure Cell Press cells were mechanically disrupted at a pressure of 700 bar and cell debris were removed by centrifugation (50,000 × g for 60 min at 4°C). After the addition of 2 mM MgCl 2 cell lysate was incubated with 5 mL Ni-NTA Agarose (binding capacity 50 mg/mL) (MACHEREY-NAGEL) for 30 min. The column was washed with five column volumes wash buffer I to remove unbound proteins and bound protein was eluted with 2.5 column volumes wash buffer I containing 300 mM imidazole. The elution fractions were analyzed with (sodium dodecyl sulfate-polyacrylamide gel electrophoresis, concentrated with an Amicon Ultra centrifugal filter units, and purified by SEC with a Superdex 75 10/300 (GE-Healthcare). Protein samples were shock frozen in liquid nitrogen and stored at −80°C. The same workflow procedure was performed for all protein constructs which contained a StrepI-tag with the exception of using a 5 mL Strep-Tactincolumn (binding capacity 15 mg/mL resin) (Iba) with the respective wash buffer II (50 mM KP i , 200 mM NaCl, 10% (v/v) glycerol, pH 7.4) and elution with the wash buffer II containing 2.5 mM d-Desthiobiotin.
In vitro assembly and mass spectrometric analysis. For the in vitro studies, all in E. coli heterologously purified subunits α, β, δ, and γε were incubated in a ratio of 3:3:1:1 for assembly into the full F 1 -complex, or subsets for subcomplexes in 50 mM KP i , 200 mM NaCl, 2 mM ATP, 2 mM MgCl 2 , 10% (v/v) glycerol, pH 7.4 at 4°C for 1 h. For LILBID-MS measurements the buffer was exchanged to 100 mM ammonium acetate, 2 mM ATP, 2 mM MgCl 2 , pH 7.4 at 4°C before measurements using desalting columns with a cutoff of 7 kDa (Zeba Micro Spin Desalting Columns, Thermo Scientific). Approximately 5 µL samples were used per measurement. LILBID-MS droplets were generated by a piezo-driven droplet generator (MD-K-130, Microdrop Technologies GmbH, Germany). This generator produces droplets of 50 µm diameter with a frequency of 10 Hz at 100 mbar. The droplets were transferred to a vacuum and irradiated by an IR laser at 2.94 µm, a vibrational absorption wavelength of water, which leads to the explosive expansion of the sample droplet. The energy output has a maximum energy of 23 mJ per pulse and a pulse length of 6 ns. The overall gradient between the first lens (repeller) and the third lens (grounded lens) is always 6.6 kV. The applied voltage on the second lense NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-022-28828-1 ARTICLE NATURE COMMUNICATIONS | (2022) 13:1218 | https://doi.org/10.1038/s41467-022-28828-1 | www.nature.com/naturecommunications (extractor) is set between 4.0 kV and 6.0 kV. Either the first two lenses were pulsed from 0 kV to their final voltages, or both lenses were set at the same voltage of 4.0 kV and the repeller was pulsed up to 6.6 kV in total. The released ions then are analyzed using a home-built time-of-flight spectrometer 49 . These settings correspond to the standard settings at the LILBID ion source. The presented spectra show the averaged signals of several hundred up to thousand droplets. Data processing was done using the software Massign 50 .
Electrospray ionization mass spectrometry (ESI-MS) was performed on a Synapt G2S (Waters Corpn., Wilmslow, Manchester, UK) equipped with a high mass quadrupole upgrade. Pd/Pt sputtered nESI tips were pulled in-house from borosilicate glass capillaries on a Flaming/Brown Micropipette Puller (P-1000; Sutter Instrument Co.). For the analysis of purified F 1 -subunits, capillary and cone voltages were set to 1.85 kV and 150 V, respectively. The source block temperature was set to 30°C. Neither trap nor transfer collision cell was used. Directly prior to MS analysis, 10 μL of the protein solution (30 µM) was buffer exchanged into 100 mM ammonium acetate, 100 µM ATP, 100 µM MgCl 2 , and pH 7.4 at 4°C using Zeba Micro Spin Desalting Columns (Thermo Scientific).
For the IM MS experiments, αβ heterodimers were analyzed in positive ion mode using a capillary voltage of 2.1 kV. The rest of the settings for MS analysis were adjusted as follows: cone voltage 100 V at an offset of 150 V, 20°C source temperature. The instrument was calibrated by a conventional CsI solution. IM experiments were done using a traveling wave setup operating at a wave height of 40 V, a traveling wave velocity of 700 m/s, a nitrogen gas flow of 90 mL/min, and a drift cell pressure of 3.5 mbar. MS-MS was performed to isolate the αβ heterodimers, which were selected at m/z = 4950 using an LM resolution of 12 and an HM resolution of 15. CIU experiments were performed by increasing the trap collision energy (CE) in steps of 5 V from 85 to 200 V. Data analysis of ESI-MS and IMS experiments was done using the software MassLynx V4.1, TWIMExtract 51 , CIUSuite 52 , and UniDec 53 . All mass spectra were normalized to a maximal intensity which is displayed in arbitrary units (a.u.).
ATP hydrolysis assay. The enzyme-coupled activity assay performed in this work was adapted from references 41,42 . Generally, assays were run in 96-well f-bottom microtiter plates (Greiner Bio-One). The ATP hydrolysis assay was performed to analyze the ATP hydrolysis activity of the single F 1 -subunits, the in vitro assembled complexes of F 1 , and in cellula purified F 1 -subcomplexes. During this assay, ATP was constantly regenerated by an enzyme-coupled reaction, while the oxidation of NADH was spectroscopically followed via the decrease of absorbance at 340 nm. Measurements were performed in for subunits and in vitro assembled subcomplexes, for which the following amounts of the respective proteins were used: 5.5 µM in case of α and β, 1.8 µM γε, 5 µM ε. In the enzymatic assays of in vitro complexes 5.5 µM protein was used for α as well as β and 1.8 µM γε or 5 µM of the ε-subunit, respectively, to allow for subunit stoichiometries of 1:1 for the αβ heterodimer, and 3:3:1 for α 3 β 3 γε. In cellula produced αβ and α 3 β 3 γε* were employed with 0.5 µM and 0.25 µM, respectively.
Protein solutions were diluted to 100 µL total volume (100 mM TRIS, 100 mM maleic acid, pH 7.5, 5 mM MgCl 2 , 3 mM phosphoenolpyruvate, 4 mM ATP, 0.5 mM NADH, 10 units L-lactate dehydrogenase, 10 units pyruvate kinase), filtered and degassed for 700 s in 3 s intervals at 25°C. The decrease in absorbance at 340 nm per second was determined by fitting a linear fit of the slope. All measurements were performed in biological triplicates except α 3 β 3 γε* with two technical duplicates. Kinetic data were analyzed with Origin 2018b and Excel 2016.
HPLC analysis. For the assembly studies and chromatographic separations 60 µg protein was applied on an SEC column (bioZen 1.8 µm SEC-3) coupled with UV detection in the elution buffer A (50 mM KP i , 200 mM NaCl, pH 7.4) or elution buffer B (50 mM KP i , 200 mM NaCl, 2 mM ATP, 2 mM MgCl 2 , pH 7.4) at 4°C, respectively.