Unisite catalysis without rotation of the gamma-epsilon domain in Escherichia coli F1-ATPase

Elucidating Events within the Black Box of Enzyme Catalysis in Energy Metabolism: Insights into the Molecular Mechanism of ATP Hydrolysis by F1-ATPase

Oxygen exchange reactions occurring at β-catalytic sites of the FOF1-ATP synthase/F1-ATPase imprint a unique record of molecular events during the catalytic cycle of ATP synthesis/hydrolysis. This work presents a new theory of oxygen exchange and tests it on oxygen exchange data recorded on ATP hydrolysis by mitochondrial F1-ATPase (MF1). The apparent rate constant of oxygen exchange governing the intermediate Pi-HOH exchange accompanying ATP hydrolysis is determined by kinetic analysis over a ~50,000-fold range of substrate ATP concentration (0.1-5000 μM) and a corresponding ~200-fold range of reaction velocity (3.5-650 [moles of Pi/{moles of F1-ATPase}-1 s-1]). Isotopomer distributions of [18O]Pi species containing 0, 1, 2, and 3 labeled oxygen atoms predicted by the theory have been quantified and shown to be in perfect agreement with the experimental distributions over the entire range of medium ATP concentrations without employing adjustable parameters. A novel molecular mechanism of steady-state multisite ATP hydrolysis by the F1-ATPase has been proposed. Our results show that steady-state ATP hydrolysis by F1-ATPase occurs with all three sites occupied by Mg-nucleotide. The various implications arising from models of energy coupling in ATP synthesis/hydrolysis by the ATP synthase/F1-ATPase have been discussed. Current models of ATP hydrolysis by F1-ATPase, including those postulated from single-molecule data, are shown to be effectively bisite models that contradict the data. The trisite catalysis formulated by Nath's torsional mechanism of energy transduction and ATP synthesis/hydrolysis since its first appearance 25 years ago is shown to be in better accord with the experimental record. The total biochemical information on ATP hydrolysis is integrated into a consistent model by the torsional mechanism of ATP synthesis/hydrolysis and shown to elucidate the elementary chemical and mechanical events within the black box of enzyme catalysis in energy metabolism by F1-ATPase.

Beyond binding change: the molecular mechanism of ATP hydrolysis by F1-ATPase and its biochemical consequences

F1-ATPase is a universal multisubunit enzyme and the smallest-known motor that, fueled by the process of ATP hydrolysis, rotates in 120o steps. A central question is how the elementary chemical steps occurring in the three catalytic sites are coupled to the mechanical rotation. Here, we performed cold chase promotion experiments and measured the rates and extents of hydrolysis of preloaded bound ATP and promoter ATP bound in the catalytic sites. We found that rotation was caused by the electrostatic free energy change associated with the ATP cleavage reaction followed by Pi release. The combination of these two processes occurs sequentially in two different catalytic sites on the enzyme, thereby driving the two rotational sub-steps of the 120o rotation. The mechanistic implications of this finding are discussed based on the overall energy balance of the system. General principles of free energy transduction are formulated, and their important physical and biochemical consequences are analyzed. In particular, how exactly ATP performs useful external work in biomolecular systems is discussed. A molecular mechanism of steady-state, trisite ATP hydrolysis by F1-ATPase, consistent with physical laws and principles and the consolidated body of available biochemical information, is developed. Taken together with previous results, this mechanism essentially completes the coupling scheme. Discrete snapshots seen in high-resolution X-ray structures are assigned to specific intermediate stages in the 120o hydrolysis cycle, and reasons for the necessity of these conformations are readily understood. The major roles played by the "minor" subunits of ATP synthase in enabling physiological energy coupling and catalysis, first predicted by Nath's torsional mechanism of energy transduction and ATP synthesis 25 years ago, are now revealed with great clarity. The working of nine-stepped (bMF1, hMF1), six-stepped (TF1, EF1), and three-stepped (PdF1) F1 motors and of the α3β3γ subcomplex of F1 is explained by the same unified mechanism without invoking additional assumptions or postulating different mechanochemical coupling schemes. Some novel predictions of the unified theory on the mode of action of F1 inhibitors, such as sodium azide, of great pharmaceutical importance, and on more exotic artificial or hybrid/chimera F1 motors have been made and analyzed mathematically. The detailed ATP hydrolysis cycle for the enzyme as a whole is shown to provide a biochemical basis for a theory of "unisite" and steady-state multisite catalysis by F1-ATPase that had remained elusive for a very long time. The theory is supported by a probability-based calculation of enzyme species distributions and analysis of catalytic site occupancies by Mg-nucleotides and the activity of F1-ATPase. A new concept of energy coupling in ATP synthesis/hydrolysis based on fundamental ligand substitution chemistry has been advanced, which offers a deeper understanding, elucidates enzyme activation and catalysis in a better way, and provides a unified molecular explanation of elementary chemical events occurring at enzyme catalytic sites. As such, these developments take us beyond binding change mechanisms of ATP synthesis/hydrolysis proposed for oxidative phosphorylation and photophosphorylation in bioenergetics.

Modulation of the H+/ATP coupling ratio by ADP and ATP as a possible regulatory feature in the F-type ATP synthases

F-type ATP synthases are transmembrane enzymes, which play a central role in the metabolism of all aerobic and photosynthetic cells and organisms, being the major source of their ATP synthesis. Catalysis occurs via a rotary mechanism, in which the free energy of a transmembrane electrochemical ion gradient is converted into the free energy of ATP phosphorylation from ADP and Pi, and vice versa. An ADP, tightly bound to one of the three catalytic sites on the stator head, is associated with catalysis inhibition, which is relieved by the transmembrane proton gradient and by ATP. By preventing wasteful ATP hydrolysis in times of low osmotic energy and low ATP/ADP ratio, such inhibition constitutes a classical regulatory feedback effect, likely to be an integral component of in vivo regulation. The present miniview focuses on an additional putative regulatory phenomenon, which has drawn so far little attention, consisting in a substrate-induced tuning of the H+/ATP coupling ratio during catalysis, which might represent an additional key to energy homeostasis in the cell. Experimental pieces of evidence in support of such a phenomenon are reviewed.

Structural basis of unisite catalysis of bacterial F0F1-ATPase

Adenosine triphosphate (ATP) synthases (F₀F₁-ATPases) are crucial for all aerobic organisms. F₁, a water-soluble domain, can catalyze both the synthesis and hydrolysis of ATP with the rotation of the central γε rotor inside a cylinder made of α ₃ β ₃ in three different conformations (referred to as β _E, β _TP, and β _DP). In this study, we determined multiple cryo-electron microscopy structures of bacterial F₀F₁ exposed to different reaction conditions. The structures of nucleotide-depleted F₀F₁ indicate that the ε subunit directly forces β _TP to adopt a closed form independent of the nucleotide binding to β _TP. The structure of F₀F₁ under conditions that permit only a single catalytic β subunit per enzyme to bind ATP is referred to as unisite catalysis and reveals that ATP hydrolysis unexpectedly occurs on β _TP instead of β _DP, where ATP hydrolysis proceeds in the steady-state catalysis of F₀F₁. This indicates that the unisite catalysis of bacterial F₀F₁ significantly differs from the kinetics of steady-state turnover with continuous rotation of the shaft.

The 3 × 120° rotary mechanism of Paracoccus denitrificans F1-ATPase is different from that of the bacterial and mitochondrial F1-ATPases

The rotation of Paracoccus denitrificans F₁-ATPase (PdF₁) was studied using single-molecule microscopy. At all concentrations of adenosine triphosphate (ATP) or a slowly hydrolyzable ATP analog (ATPγS), above or below K _m, PdF₁ showed three dwells per turn, each separated by 120°. Analysis of dwell time between steps showed that PdF₁ executes binding, hydrolysis, and probably product release at the same dwell. The comparison of ATP binding and catalytic pauses in single PdF₁ molecules suggested that PdF₁ executes both elementary events at the same rotary position. This point was confirmed in an inhibition experiment with a nonhydrolyzable ATP analog (AMP-PNP). Rotation assays in the presence of adenosine diphosphate (ADP) or inorganic phosphate at physiological concentrations did not reveal any obvious substeps. Although the possibility of the existence of substeps remains, all of the datasets show that PdF₁ is principally a three-stepping motor similar to bacterial vacuolar (V₁)-ATPase from Thermus thermophilus This contrasts with all other known F₁-ATPases that show six or nine dwells per turn, conducting ATP binding and hydrolysis at different dwells. Pauses by persistent Mg-ADP inhibition or the inhibitory ζ-subunit were also found at the same angular position of the rotation dwell, supporting the simplified chemomechanical scheme of PdF₁ Comprehensive analysis of rotary catalysis of F₁ from different species, including PdF₁, suggests a clear trend in the correlation between the numbers of rotary steps of F₁ and F_o domains of F-ATP synthase. F₁ motors with more distinctive steps are coupled with proton-conducting F_o rings with fewer proteolipid subunits, giving insight into the design principle the F₁F_o of ATP synthase.

Unidirectional regulation of the F1FO-ATP synthase nanomotor by the ζ pawl-ratchet inhibitor protein of Paracoccus denitrificans and related α-proteobacteria

The ATP synthase is a reversible nanomotor that gyrates its central rotor clockwise (CW) to synthesize ATP and in counter clockwise (CCW) direction to hydrolyse it. In bacteria and mitochondria, two natural inhibitor proteins, namely the ε and IF1 subunits, prevent the wasteful CCW F1FO-ATPase activity by blocking γ rotation at the αDP/βDP/γ interface of the F1 portion. In Paracoccus denitrificans and related α-proteobacteria, we discovered a different natural F1-ATPase inhibitor named ζ. Here we revise the functional and structural data showing that this novel ζ subunit, although being different to ε and IF1, it also binds to the αDP/βDP/γ interface of the F1 of P. denitrificans. ζ shifts its N-terminal inhibitory domain from an intrinsically disordered protein region (IDPr) to an α-helix when inserted in the αDP/βDP/γ interface. We showed for the first time the key role of a natural ATP synthase inhibitor by the distinctive phenotype of a Δζ knockout mutant in P. denitrificans. ζ blocks exclusively the CCW F1FO-ATPase rotation without affecting the CW-F1FO-ATP synthase turnover, confirming that ζ is important for respiratory bacterial growth by working as a unidirectional pawl-ratchet PdF1FO-ATPase inhibitor, thus preventing the wasteful consumption of cellular ATP. In summary, ζ is a useful model that mimics mitochondrial IF1 but in α-proteobacteria. The structural, functional, and endosymbiotic evolutionary implications of this ζ inhibitor are discussed to shed light on the natural control mechanisms of the three natural inhibitor proteins (ε, ζ, and IF1) of this unique ATP synthase nanomotor, essential for life.

The Inhibitory Mechanism of the ζ Subunit of the F1FO-ATPase Nanomotor of Paracoccus denitrificans and Related α-Proteobacteria

The ζ subunit is a novel inhibitor of the F1FO-ATPase of Paracoccus denitrificans and related α-proteobacteria. It is different from the bacterial (ϵ) and mitochondrial (IF1) inhibitors. The N terminus of ζ blocks rotation of the γ subunit of the F1-ATPase of P. denitrificans (Zarco-Zavala, M., Morales-Ríos, E., Mendoza-Hernández, G., Ramírez-Silva, L., Pérez-Hernández, G., and García-Trejo, J. J. (2014) FASEB J. 24, 599-608) by a hitherto unknown quaternary structure that was first modeled here by structural homology and protein docking. The F1-ATPase and F1-ζ models of P. denitrificans were supported by cross-linking, limited proteolysis, mass spectrometry, and functional data. The final models show that ζ enters into F1-ATPase at the open catalytic αE/βE interface, and two partial γ rotations lock the N terminus of ζ in an "inhibition-general core region," blocking further γ rotation, while the ζ globular domain anchors it to the closed αDP/βDP interface. Heterologous inhibition of the F1-ATPase of P. denitrificans by the mitochondrial IF1 supported both the modeled ζ binding site at the αDP/βDP/γ interface and the endosymbiotic α-proteobacterial origin of mitochondria. In summary, the ζ subunit blocks the intrinsic rotation of the nanomotor by inserting its N-terminal inhibitory domain at the same rotor/stator interface where the mitochondrial IF1 or the bacterial ϵ binds. The proposed pawl mechanism is coupled to the rotation of the central γ subunit working as a ratchet but with structural differences that make it a unique control mechanism of the nanomotor to favor the ATP synthase activity over the ATPase turnover in the α-proteobacteria.

Rotary catalysis of the stator ring of F(1)-ATPase

F(1)-ATPase is a rotary motor protein in which 3 catalytic β-subunits in a stator α(3)β(3) ring undergo unidirectional and cooperative conformational changes to rotate the rotor γ-subunit upon adenosine triphosphate hydrolysis. The prevailing view of the mechanism behind this rotary catalysis elevated the γ-subunit as a "dictator" completely controlling the chemical and conformational states of the 3 catalytic β-subunits. However, our recent observations using high-speed atomic force microscopy clearly revealed that the 3 β-subunits undergo cyclic conformational changes even in the absence of the rotor γ-subunit, thus dethroning it from its dictatorial position. Here, we introduce our results in detail and discuss the possible operating principle behind the F(1)-ATPase, along with structurally related hexameric ATPases, also mentioning the possibility of generating hybrid nanomotors. This article is part of a Special Issue entitled: 17th European Bioenergetics Conference (EBEC 2012).

High-speed atomic force microscopy reveals rotary catalysis of rotorless F₁-ATPase

F(1) is an adenosine triphosphate (ATP)-driven motor in which three torque-generating β subunits in the α(3)β(3) stator ring sequentially undergo conformational changes upon ATP hydrolysis to rotate the central shaft γ unidirectionally. Although extensive experimental and theoretical work has been done, the structural basis of cooperative torque generation to realize the unidirectional rotation remains elusive. We used high-speed atomic force microscopy to show that the rotorless F(1) still "rotates"; in the isolated α(3)β(3) stator ring, the three β subunits cyclically propagate conformational states in the counterclockwise direction, similar to the rotary shaft rotation in F(1). The structural basis of unidirectionality is programmed in the stator ring. These findings have implications for cooperative interplay between subunits in other hexameric ATPases.

A novel 11-kDa inhibitory subunit in the F1FO ATP synthase of Paracoccus denitrificans and related alpha-proteobacteria

The F(1)F(O) and F(1)-ATPase complexes of Paracoccus denitrificans were isolated for the first time by ion exchange, gel filtration, and density gradient centrifugation into functional native preparations. The liposome-reconstituted holoenzyme preserves its tight coupling between F(1) and F(O) sectors, as evidenced by its high sensitivity to the F(O) inhibitors venturicidin and diciclohexylcarbodiimide. Comparison and N-terminal sequencing of the band profile in SDS-PAGE of the F(1) and F(1)F(O) preparations showed a novel 11-kDa protein in addition to the 5 canonical alpha, beta, gamma, delta, and epsilon subunits present in all known F(1)-ATPase complexes. BN-PAGE followed by 2D-SDS-PAGE confirmed the presence of this 11-kDa protein bound to the native F(1)F(O)-ATP synthase of P. denitrificans, as it was observed after being isolated. The recombinant 11 kDa and epsilon subunits of P. denitrificans were cloned, overexpressed, isolated, and reconstituted in particulate F(1)F(O) and soluble F(1)-ATPase complexes. The 11-kDa protein, but not the epsilon subunit, inhibited the F(1)F(O) and F(1)-ATPase activities of P. denitrificans. The 11-kDa protein was also found in Rhodobacter sphaeroides associated to its native F(1)F(O)-ATPase. Taken together, the data unveil a novel inhibitory mechanism exerted by this 11-kDa protein on the F(1)F(O)-ATPase nanomotor of P. denitrificans and closely related alpha-proteobacteria.

The alpha/beta interfaces of alpha(1)beta(1), alpha(3)beta(3), and F1: domain motions and elastic energy stored during gamma rotation

ATP synthase (F(o)F(1)) consists of F(1) (ATP-driven motor) and F(o) (H(+)-driven motor). F(1) is a complex of alpha(3)beta(3)gammadeltaepsilon subunits, and gamma is the rotating cam in alpha(3)beta(3). Thermophilic F(1) (TF(1)) is exceptional in that it can be crystallized as a beta monomer and an alpha(3)beta(3) oligomer, and it is sufficiently stable to allow alphabeta refolding and reassembly of hybrid complexes containing 1, 2, and 3 modified alpha or beta. The nucleotide-dependent open-close conversion of conformation is an inherent property of an isolated beta and energy and signals are transferred through alpha/beta interfaces. The catalytic and noncatalytic interfaces of both mitochondrial F(1) (MF(1)) and TF(1) were analyzed by an atom search within the limits of 0.40 nm across the alphabeta interfaces. Seven (plus thermophilic loop in TF(1)) contact areas are located at both the catalytic and noncatalytic interfaces on the open beta form. The number of contact areas on closed beta increased to 11 and 9, respectively, in the catalytic and noncatalytic interfaces. The interfaces in the barrel domain are immobile. The torsional elastic strain applied through the mobile areas is concentrated in hinge residues and the P-loop in beta. The notion of elastic energy in F(o)F(1) has been revised. X-ray crystallography of F(1) is a static snap shot of one state and the elastic hypotheses are still inconsistent with the structure, dyamics, and kinetics of F(o)F(1). The domain motion and elastic energy in F(o)F(1) will be elucidated by time-resolved crystallography.

The catalytic transition state in ATP synthase

The catalytic transition state of ATP synthase has been characterized and modeled by combined use of (1) Mg-ADP-fluoroaluminate, Mg-ADP-fluoroscandium, and corresponding Mg-IDP-fluorometals as transition-state analogs; (2) fluorescence signals of beta-Trp331 and beta-Trp148 as optical probes to assess formation of the transition state; (3) mutations of critical catalytic residues to determine side-chain ligands required to stabilize the transition state. Rate acceleration by positive catalytic site cooperativity is explained as due to mobility of alpha-Arg376, acting as an "arginine finger" residue, which interacts with nucleotide specifically at the transition state step of catalysis, not with Mg-ATP- or Mg-ADP-bound ground states. We speculate that formation and collapse of the transition state may engender catalytic site alpha/beta subunit-interface conformational movement, which is linked to gamma-subunit rotation.

Regulation of the F1F0-ATP synthase rotary nanomotor in its monomeric-bacterial and dimeric-mitochondrial forms

The F(1)F(0)-adenosine triphosphate (ATP) synthase rotational motor synthesizes most of the ATP required for living from adenosine diphosphate, Pi, and a proton electrochemical gradient across energy-transducing membranes of bacteria, chloroplasts, and mitochondria. However, as a reversible nanomotor, it also hydrolyzes ATP during de-energized conditions in all energy-transducing systems. Thus, different subunits and mechanisms have emerged in nature to control the intrinsic rotation of the enzyme to favor the ATP synthase activity over its opposite and commonly wasteful ATPase turnover. Recent advances in the structural analysis of the bacterial and mitochondrial ATP synthases are summarized to review the distribution and mechanism of the subunits that are part of the central rotor and regulate its gyration. In eubacteria, the epsilon subunit works as a ratchet to favor the rotation of the central stalk in the ATP synthase direction by extending and contracting two alpha-helixes of its C-terminal side and also by binding ATP with low affinity in thermophilic bacteria. On the other hand, in bovine heart mitochondria, the so-called inhibitor protein (IF(1)) interferes with the intrinsic rotational mechanism of the central gamma subunit and with the opening and closing of the catalytic beta-subunits to inhibit its ATPase activity. Besides its inhibitory role, the IF(1) protein also promotes the dimerization of the bovine and rat mitochondrial enzymes, albeit it is not essential for dimerization of the yeast F(1)F(0) mitochondrial complex. High-resolution electron microscopy of the dimeric enzyme in its bovine and yeast forms shows a conical shape that is compatible with the role of the ATP synthase dimer in the formation of tubular the cristae membrane of mitochondria after further oligomerization. Dimerization of the mitochondrial ATP synthase diminishes the rotational drag of the central rotor that would decrease the coupling efficiency between rotation of the central stalk and ATP synthesis taking place at the F(1) portion. In addition, F(1)F(0) dimerization and its further oligomerization also increase the stability of the enzyme to natural or experimentally induced destabilizing conditions.

A rotor-stator cross-link in the F1-ATPase blocks the rate-limiting step of rotational catalysis

The F(0)F(1)-ATP synthase couples the functions of H(+) transport and ATP synthesis/hydrolysis through the efficient transmission of energy mediated by rotation of the centrally located gamma, epsilon, and c subunits. To understand the gamma subunit role in the catalytic mechanism, we previously determined the partial rate constants and devised a minimal kinetic model for the rotational hydrolytic mode of the F(1)-ATPase enzyme that uniquely fits the pre-steady state and steady state data ( Baylis Scanlon, J. A., Al-Shawi, M. K., Le, N. P., and Nakamoto, R. K. (2007) Biochemistry 46, 8785-8797 ). Here we directly test the model using two single cysteine mutants, betaD380C and betaE381C, which can be used to reversibly inhibit rotation upon formation of a cross-link with the conserved gammaCys-87. In the pre-steady state, the gamma-beta cross-linked enzyme at high Mg.ATP conditions retained the burst of hydrolysis but was not able to release P(i). These data show that the rate-limiting rotation step, k(gamma), occurs after hydrolysis and before P(i) release. This analysis provides additional insights into how the enzyme achieves efficient coupling and implicates the betaGlu-381 residue for proper formation of the rate-limiting transition state involving gamma subunit rotation.

The rotary mechanism of the ATP synthase

The F0F1 ATP synthase is a large complex of at least 22 subunits, more than half of which are in the membranous F0 sector. This nearly ubiquitous transporter is responsible for the majority of ATP synthesis in oxidative and photo-phosphorylation, and its overall structure and mechanism have remained conserved throughout evolution. Most examples utilize the proton motive force to drive ATP synthesis except for a few bacteria, which use a sodium motive force. A remarkable feature of the complex is the rotary movement of an assembly of subunits that plays essential roles in both transport and catalytic mechanisms. This review addresses the role of rotation in catalysis of ATP synthesis/hydrolysis and the transport of protons or sodium.

Regulatory mechanisms of proton-translocating F(O)F (1)-ATP synthase

H(+)-F(O)F(1)-ATP synthase catalyzes synthesis of ATP from ADP and inorganic phosphate using the energy of transmembrane electrochemical potential difference of proton (deltamu(H)(+). The enzyme can also generate this potential difference by working as an ATP-driven proton pump. Several regulatory mechanisms are known to suppress the ATPase activity of F(O)F(1): 1. Non-competitive inhibition by MgADP, a feature shared by F(O)F(1) from bacteria, chloroplasts and mitochondria 2. Inhibition by subunit epsilon in chloroplast and bacterial enzyme 3. Inhibition upon oxidation of two cysteines in subunit gamma in chloroplast F(O)F(1) 4. Inhibition by an additional regulatory protein (IF(1)) in mitochondrial enzyme In this review we summarize the information available on these regulatory mechanisms and discuss possible interplay between them.

The role of subunit epsilon in the catalysis and regulation of FOF1-ATP synthase

The regulation of ATP synthase activity is complex and involves several distinct mechanisms. In bacteria and chloroplasts, subunit epsilon plays an important role in this regulation, (i) affecting the efficiency of coupling, (ii) influencing the catalytic pathway, and (iii) selectively inhibiting ATP hydrolysis activity. Several experimental studies indicate that the regulation is achieved through large conformational transitions of the alpha-helical C-terminal domain of subunit epsilon that occur in response to membrane energization, change in ATP/ADP ratio or addition of inhibitors. This review summarizes the experimental data obtained on different organisms that clarify some basic features as well as some molecular details of this regulatory mechanism. Multiple functions of subunit epsilon, its role in the difference between the catalytic pathways of ATP synthesis and hydrolysis and its influence on the inhibition of ATP hydrolysis by ADP are also discussed.

Effect of denaturants on multisite and unisite ATP hydrolysis by bovine heart submitochondrial particles with and without inhibitor protein

The effect of guanidinium hydrochloride (GdnHCl) on multisite and unisite ATPase activity by F0F1 of submitochondrial particles from bovine hearts was studied. In particles without control by the inhibitor protein, 50 mM GdnHCl inhibited multisite hydrolysis by about 85%; full inhibition required around 500 mM. In the range of 500-650 mM, GdnHCl enhanced the rate of unisite catalysis by promoting product release; it also increased the rate of hydrolysis of ATP bound to the catalytic site without GdnHCl. GdnHCl diminished the affinity of the enzyme for aurovertin. The effects of GdnHCl were irreversible. The results suggest that disruption of intersubunit contacts in F0F1 abolishes multisite hydrolysis and stimulates of unisite hydrolysis. Particles under control by the inhibitor protein were insensitive to concentrations of GdnHCl that induce the aforementioned alterations of F0F1 free of inhibitor protein, indicating that the protein stabilizes the global structure of particulate F1.

Rotation of F1-ATPase: how an ATP-driven molecular machine may work

F1-ATPase is a rotary motor made of a single protein molecule. Its rotation is driven by free energy obtained by ATP hydrolysis. In vivo, another motor, Fo, presumably rotates the F1 motor in the reverse direction, reversing also the chemical reaction in F1 to let it synthesize ATP. Here we attempt to answer two related questions, How is free energy obtained by ATP hydrolysis converted to the mechanical work of rotation, and how is mechanical work done on F1 converted to free energy to produce ATP? After summarizing single-molecule observations of F1 rotation, we introduce a toy model and discuss its free-energy diagrams to possibly answer the above questions. We also discuss the efficiency of molecular motors in general.

Origin of apparent negative cooperativity of F(1)-ATPase

In order to get insight into the origin of apparent negative cooperativity observed for F(1)-ATPase, we compared ATPase activity and ATPMg binding of mutant subcomplexes of thermophilic F(1)-ATPase, alpha((W463F)3)beta((Y341W)3)gamma and alpha((K175A/T176A/W463F)3)beta((Y341W)3)gamma. For alpha((W463F)3)beta((Y341W)3)gamma, apparent K(m)'s of ATPase kinetics (4.0 and 233 microM) did not agree with apparent K(m)'s deduced from fluorescence quenching of the introduced tryptophan residue (on the order of nM, 0.016 and 13 microM). On the other hand, in case of alpha((K175A/T176A/W463F)3)beta((Y341W)3)gamma, which lacks noncatalytic nucleotide binding sites, the apparent K(m) of ATPase activity (10 microM) roughly agreed with the highest K(m) of fluorescence measurements (27 microM). The results indicate that in case of alpha((W463F)3)beta((Y341W)3)gamma, the activating effect of ATP binding to noncatalytic sites dominates overall ATPase kinetics and the highest apparent K(m) of ATPase activity does not represent the ATP binding to a catalytic site. In case of alpha((K175A/T176A/W463F)3)beta((Y341W)3)gamma, the K(m) of ATPase activity reflects the ATP binding to a catalytic site due to the lack of noncatalytic sites. The Eadie-Hofstee plot of ATPase reaction by alpha((K175A/T176A/W463F)3)beta((Y341W)3)gamma was rather linear compared with that of alpha((W463F)3)beta((Y341W)3)gamma, if not perfectly straight, indicating that the apparent negative cooperativity observed for wild-type F(1)-ATPase is due to the ATP binding to catalytic sites and noncatalytic sites. Thus, the frequently observed K(m)'s of 100-300 microM and 1-30 microM range for wild-type F(1)-ATPase correspond to ATP binding to a noncatalytic site and catalytic site, respectively.

Sulfite inhibits the F1F0-ATP synthase and activates the F1F0-ATPase of Paracoccus denitrificans

The F1F0 complex of Paracoccus denitrificans (PdF1F0) is the fastest ATP synthase but the slowest ATPase. Sulfite exerts maximal activation of the PdF1F0-ATPase (Pacheco-Moisés, F., García, J. J., Rodríguez-Zavala, J. S., and Moreno-Sánchez, R. (2000). Eur J. Biochem. 267, 993-1000) but its effect on the PdF1F0-ATP synthase activity remains unknown. Therefore, we studied the effect of sulfite on ATP synthesis and 32Pi <--> ATP exchange reactions of inside-out membrane vesicles of P. denitrificans. Sulfite inhibited both reactions under conditions of maximal delta pH and normal sensitivity to dicyclohexylcarbodiimide. Sulfite increased by 10- and 5-fold the K0.5 for Mg2+-ADP and Pi during ATP synthesis, respectively, and by 4-fold the IC50 of Mg2+-ADP for inhibition of the PdF1F0-ATPase activity. Thus, sulfite exerts opposite effects on the forward and reverse functioning of the PdF1F0 complex. These effects are not due to membrane or PdF1F0 uncoupling. Kinetic and structural modifications that could account for these results are discussed.

The molecular mechanism of ATP synthesis by F1F0-ATP synthase: a scrutiny of the major possibilities

A critical goal of metabolism in living cells is the synthesis of adenosine triphosphate (ATP). ATP is synthesized by the enzyme F1F0-ATP synthase. This enzyme, the smallest-known molecular machine, couples proton translocation through its membrane-embedded, hydrophobic domain, F0, to the synthesis of ATP from adenosine diphosphate (ADP) and inorganic phosphate (Pi) in its soluble, hydrophilic headpiece, F1. Animals, plants and microorganisms all capture and utilize energy by this important chemical reaction. How does it occur? The binding change mechanism and the torsional mechanism of energy transduction and ATP synthesis are two mechanisms that have been proposed in the literature. According to the binding change mechanism (which considers reversible catalysis and site-site cooperativity), energy is required primarily for release of synthesized ATP, but not for its synthesis. On the other hand, according to the torsional mechanism (which considers an irreversible mode of catalysis and absence of cooperativity), all the elementary steps require energy, and the ion-protein interaction energy obtained from the ion gradients is used to synthesize ATP, for Pi binding, and for straining the beta-epsilon bond in order to enable ADP to bind. The energy to release preformed ATP from the tight catalytic site (betaDP) is provided by the formation of the beta-epsilon ester linkage. First, the central features of these mechanisms are clearly delineated. Then, a critical scrutiny of these mechanisms is undertaken. The predictions of the torsional mechanism are listed. In particular, how the torsional mechanism deals with the specific difficulties associated with other mechanisms, and how it seeks to explain a wealth of structural, spectroscopic, and biochemical data is discussed in detail. Recent experimental data in support of the mechanism are presented. Finally, in view of the molecular machine nature of energy transduction, the indispensability of applying engineering tools at the molecular level is highlighted. This paves the way for the development of a new field: Molecular Physiological Engineering.

The molecular mechanism of ATP synthesis by F1F0-ATP synthase

ATP synthesis by oxidative phosphorylation and photophosphorylation, catalyzed by F1F0-ATP synthase, is the fundamental means of cell energy production. Earlier mutagenesis studies had gone some way to describing the mechanism. More recently, several X-ray structures at atomic resolution have pictured the catalytic sites, and real-time video recordings of subunit rotation have left no doubt of the nature of energy coupling between the transmembrane proton gradient and the catalytic sites in this extraordinary molecular motor. Nonetheless, the molecular events that are required to accomplish the chemical synthesis of ATP remain undefined. In this review we summarize current state of knowledge and present a hypothesis for the molecular mechanism of ATP synthesis.

Bi-site catalysis in F1-ATPase: does it exist?

The mechanism of action of F(1)F(0)-ATP synthase is controversial. Some favor a tri-site mechanism, where substrate must fill all three catalytic sites for activity, others a bi-site mechanism, where one of the three sites is always unoccupied. New approaches were applied to examine this question. First, ITP was used as hydrolysis substrate; lower binding affinities of ITP versus ATP enable more accurate assessment of sites occupancy. Second, distributions of all eight possible enzyme species (with zero, one, two or three sites filled) as fraction of total enzyme population at each ITP concentration were calculated, and compared with measured ITPase activity. Confirming data were obtained with ATP as substrate. Third, we performed a theoretical analysis of possible bi-site mechanisms. The results argue convincingly that bi-site hydrolysis activity is negligible, and may not even exist. Effectively, tri-site hydrolysis is the only mechanism. We argue that only tri-site hydrolysis drives subunit rotation. Theoretical analyses of possible bi-site mechanisms reveal serious flaws, not previously recognized. One is that, in bi-site catalysis, the predicted direction of subunit rotation is the same for both ATP synthesis and hydrolysis; a second is that infrequently occurring enzyme species are required.

Covalent modification of the non-catalytic sites of the H(+)-ATPase from chloroplasts with 2-azido-[alpha-(32)P]ATP and its effect on ATP synthesis and ATP hydrolysis

Incubation of the isolated H(+)-ATPase from chloroplasts, CF(0)F(1), with 2-azido-[alpha-(32)P]ATP leads to the binding of this nucleotide to different sites. These sites were identified after removal of free nucleotides, UV-irradiation and trypsin treatment by separation of the tryptic peptides by ion exchange chromatography. The nitreno-AMP, nitreno-ADP and nitreno-ATP peptides were further separated on a reversed phase column, the main fractions were subjected to amino acid sequence analysis and the derivatized tyrosines were used to distinguish between catalytic (beta-Tyr362) and non-catalytic (beta-Tyr385) sites. Several incubation procedures were developed which allow a selective occupation of each of the three non-catalytic sites. The non-catalytic site with the highest dissociation constant (site 6) becomes half maximally filled at 50 microM 2-azido-[alpha-(32)P]ATP, that with the intermediate dissociation constant (site 5) at 2 microM. The ATP at the site with the lowest dissociation constant had to be hydrolyzed first to ADP before a replacement by 2-azido-[alpha-(32)P]ATP was possible. CF(0)F(1) with non-covalently bound 2-azido-[alpha-(32)P]ATP and after covalent derivatization was reconstituted into liposomes and the rates of ATP synthesis as well as ATP hydrolysis were measured after energization of the proteoliposomes by Delta pH/Delta phi. Non-covalent binding of 2-azido-ATP to any of the three non-catalytic sites does not influence ATP synthesis and ATP hydrolysis, whereas covalent derivatization of any of the three sites inhibits both, the degree being proportional to the degree of derivatization. Extrapolation to complete inhibition indicates that derivatization of one site (either 4 or 5 or 6) is sufficient to block completely multi-site catalysis. The rates of ATP synthesis and ATP hydrolysis were measured as a function of the ADP and ATP concentration from uni-site to multi-site conditions with covalently derivatized and non-derivatized CF(0)F(1). Uni-site ATP synthesis and ATP hydrolysis were not inhibited by covalent derivatization of any of the non-catalytic sites, whereas multi-site catalysis is inhibited. These results indicate that multi-site catalysis requires some flexibility between beta- and alpha-subunits which is abolished by covalent derivatization of beta-Tyr385 with a 2-nitreno-adenine nucleotide. Conformational changes connected with energy transduction between the F(0)-part and the F(1)-part are either not required for uni-site ATP synthesis or they are not impaired by the derivatization of any of the three beta-Tyr385.

Second stalk of ATP synthase. Cross-linking of gamma subunit in F1 to truncated Fob subunit prevents ATP hydrolysis

ATP synthase consists of two portions, F(1) and F(o), connected by two stalks: a central rotor stalk containing gamma and epsilon subunits and a peripheral, second stalk formed by delta and two copies of F(o)b subunits. The second stalk is expected to keep the stator subunits from spinning along with the rotor. We isolated a TF(1)-b'(2) complex (alpha(3)beta(3)gammadeltaepsilonb'(2)) of a thermophilic Bacillus PS3, in which b' was a truncated cytoplasmic fragment of F(o)b subunit, and introduced a cysteine at its N terminus (bc'). Association of b'(2) or bc'(2) with TF(1) did not have significant effect on ATPase activity. A disulfide bond between the introduced cysteine of bc' and cysteine 109 of gamma subunit was readily formed, and this cross-link caused inactivation of ATPase. This implies that F(o)b subunit bound to stator subunits of F(1) with enough strength to resist rotation of gamma subunit and to prevent catalysis. Contrary to this apparent tight binding, some detergents such as lauryldodecylamine oxide tend to cause release of b'(2) from TF(1).

ATP-driven rotation of the gamma subunit in F(1)-ATPase

We present a mechanism for F(1)-ATPase in which hydrolysis of MgATP in the high-affinity catalytic site at the alpha/beta interface drives rotation of the gamma subunit via conformational changes in the alpha subunit. During hydrolysis, transition state formation and separation of P(i) from MgADP causes movement of portions of alpha, transmitted via two Arg residues which are hydrogen-bonded to the gamma-phosphate of MgATP, alphaArg376 and betaArg182; the latter is also hydrogen-bonded to interfacial alpha residues between alpha346 and alpha349. Changes in alpha conformation then push on gamma, resulting in rotation. Supporting evidence from the literature and from new data is discussed.

Structural changes during ATP hydrolysis activity of the ATP synthase from Escherichia coli as revealed by fluorescent probes

F1F0-ATPase complexes undergo several changes in their tertiary and quaternary structure during their functioning. As a possible way to detect some of these different conformations during their activity, an environment-sensitive fluorescence probe was bound to cysteine residues, introduced by site-directed mutagenesis, in the gamma subunit of the Escherichia coli enzyme. Fluorescence changes and ATP hydrolysis rates were compared under various conditions in F1 and in reconstituted F1F0. The results are discussed in terms of possible modes of operation of the ATP synthases.

The a subunit ala-217 --> arg substitution affects catalytic activity of F(1)F(0) ATP synthase

A large number of mutations affecting the F(0) sector of Escherichia coli F(1)F(0) ATP synthase have been constructed and characterized. A subset of the missense mutations resulted in fully assembled enzyme complexes blocked in proton translocation and displaying marked decreases in ATP hydrolysis activity. The catalytic activities of one such mutant enzyme, a(ala-217-->arg), have been determined using both multisite and unisite catalysis conditions. As expected, the V(max) of the a(ala-217-->arg) enzyme was reduced under conditions of saturating substrate concentration. However, the F(0) sector amino acid substitution did not affect nucleotide occupancy of the noncatalytic sites. Moreover, the microscopic rate constants measured using unisite methods yielded no significant differences between the intact wild type F(1)F(0) ATP synthase and the a(ala-217-->arg) mutant enzyme. In general, the values for unisite activities in both preparations were very similar to numbers reported in the literature for E. coli F(1)-ATPase. The results suggest that the a(ala-217-->arg) substitution resulted in a defect in catalytic cooperativity and most likely altered the enzyme by inhibiting the rotational mechanism of F(1)F(0) ATP synthase.

Mutagenic analysis of the F0 stator subunits

The a and b subunits constitute the stator elements in the F0 sector of F1F0-ATP synthase. Both subunits have been difficult to study by physical means, so most of the information on structure and function relationships in the a and b subunits has been obtained using mutagenesis in combination with biochemical methods. These approaches were used to demonstrate that the a subunit in association with the ring of c subunits houses the proton channel through F1F0-ATP synthase. The map of the amino acids contributing to the proton channel is probably complete. The two b subunits dimerize, forming an extended flexible unit in the peripheral stalk linking the F1 and F0 sectors. The unique characteristics of specific amino acid substitutions affecting the a and b subunits suggested differential effects on rotation during F1F0-ATPase activity.

Kinetic modeling of ATP synthesis by ATP synthase and its mechanistic implications

Based on the torsional mechanism of ATP synthesis by ATP synthase, a kinetic scheme has been developed in this work. The scheme considers adenine nucleotide transport, binding of substrates ADP and P(i), unbinding of product ATP, and ATP synthesis. This kinetic scheme has been analyzed mathematically, and a kinetic model has been obtained to explain the experimentally observed hyperbolic Michaellian dependence of the rate of ATP synthesis on the ADP concentration by ATP synthase under physiological steady-state operating conditions. The principal results of the kinetic model have been compared with the experimental data and an estimate of the enzymological kinetic parameters V(max), K(M), and K(I) has been determined. Mechanistic implications arising from further analysis of the kinetic model have been discussed. These biological implications provide deep insight into the sequence of events leading to ATP synthesis.

Molecular mechanisms of rotational catalysis in the F(0)F(1) ATP synthase

Rotation of the F(0)F(1) ATP synthase gamma subunit drives each of the three catalytic sites through their reaction pathways. The enzyme completes three cycles and synthesizes or hydrolyzes three ATP for each 360 degrees rotation of the gamma subunit. Mutagenesis studies have yielded considerable information on the roles of interactions between the rotor gamma subunit and the catalytic beta subunits. Amino acid substitutions, such as replacement of the conserved gammaMet-23 by Lys, cause altered interactions between gamma and beta subunits that have dramatic effects on the transition state of the steady state ATP synthesis and hydrolysis reactions. The mutations also perturb transmission of specific conformational information between subunits which is important for efficient conversion of energy between rotation and catalysis, and render the coupling between catalysis and transport inefficient. Amino acid replacements in the transport domain also affect the steady state catalytic transition state indicating that rotation is involved in coupling to transport.

Covalent modification of the catalytic sites of the H(+)-ATPase from chloroplasts, CF(0)F(1), with 2-azido-[alpha-(32)P]ADP: modification of the catalytic site 2 (loose) and the catalytic site 3 (open) impairs multi-site, but not uni-site catalysis of both ATP synthesis and ATP hydrolysis

The H(+)-ATPase from chloroplasts, CF(0)F(1), was isolated and purified. The enzyme contained one endogenous ADP at a catalytic site, and two endogenous ATP at non-catalytic sites. Incubation with 2-azido-[alpha-(32)P]AD(T)P leads to a tight binding of the azido-nucleotides. Free nucleotides were removed by three consecutive passages through centrifugation columns, and after UV-irradiation, the label was covalently bound. The labelled enzyme was digested by trypsin, the peptides were separated by ion exchange chromatography into nitreno-AMP, nitreno-ADP and nitreno-ATP labelled peptides, and these were then separated by reversed phase chromatography. Amino acid sequence analysis was used to identify the type of the nucleotide binding site. After incubation with 2-azido-[alpha-(32)P]ADP, the covalently bound label was found exclusively at beta-Tyr-362, i.e. binding occurs only to catalytic sites. Incubation conditions with 2-azido-[alpha-(32)P]ADP were varied, and conditions were found which allow selective binding of the label to different catalytic sites, either to catalytic site 2 or to catalytic site 3. For measurements of the degree of inhibition by covalent modification, CF(0)F(1) was reconstituted into phosphatidylcholine liposomes, and the membranes were energised by an acid-base transition in the presence of a K(+)/valinomycin diffusion potential. The rate of ATP synthesis was 120 s(-1), and the rate of ATP hydrolysis was 20 s(-1), both measured under multi-site conditions. Covalent modification of either catalytic site 2 or catalytic site 3 inhibited both ATP synthesis and ATP hydrolysis, the degree of inhibition being proportional to the degree of modification. Extrapolation to complete inhibition indicates that modification of one catalytic site, either site 2 or site 3, is sufficient to completely block multi-site ATP synthesis and ATP hydrolysis. The rate of ATP synthesis and the rate of ATP hydrolysis were measured as a function of the substrate concentration from multi-site to uni-site conditions with covalently modified CF(0)F(1) and with non-modified CF(0)F(1). The result was that uni-site ATP synthesis and ATP hydrolysis were not inhibited by covalent modification of either catalytic site 2 or site 3. The results indicate cooperative interactions between catalytic nucleotide binding sites during multi-site catalysis, whereas neither uni-site ATP synthesis nor uni-site ATP hydrolysis require interaction with other sites.

Synthesis and hydrolysis of ATP and the phosphate-ATP exchange reaction in soluble mitochondrial F1 in the presence of dimethylsulfoxide

In medium containing 40% dimethylsulfoxide, soluble F1 catalyzes the hydrolysis of ATP introduced at concentrations lower than that of the enzyme [Al-Shawi, M.K. & Senior, A.E. (1992), Biochemistry 31, 886-891]. At this concentration of dimethylsulfoxide, soluble F1 also catalyzes the spontaneous synthesis of a tightly bound ATP to a level of approximately 0.15 mol per mol F1 [Gómez-Puyou, A., Tuena de Gómez-Puyou, M. & de Meis, L. (1986) Eur. J. Biochem. 159, 133-140]. The mechanisms that allow soluble F1 to carry out these apparently opposing reactions were studied. The rate of hydrolysis of ATP bound to F1 under uni-site conditions and that of synthesis of ATP were markedly similar, indicating that the two ATP molecules lie in equivalent high affinity catalytic sites. The number of enzyme molecules that have ATP at the high affinity catalytic site under conditions of synthesis or uni-site hydrolysis is less than the total number of enzyme molecules. Therefore, it was hypothesized that when the enzyme was treated with dimethylsulfoxide, a fraction of the F1 population carried out synthesis and another hydrolysis. Indeed, measurements of the two reactions under identical conditions showed that different fractions of the F1 population carried out simultaneously synthesis and hydrolysis of ATP. The reactions continued until an equilibrium level between F1.ADP + Pi <--> F1.ATP was established. At equilibrium, about 15% of the enzyme population was in the form F1.ATP. The DeltaG degrees of the reaction with 0.54 microM F1, 2 mM Pi and 10 mM Mg2+ at pH 6.8 was -2.7 kcal.mol-1 in favor of F1.ATP. The DeltaG degrees of the reaction did not exhibit important variations with Pi concentration; thus, the reaction was in thermodynamic equilibrium. In contrast, DeltaG degrees became significantly less negative as the concentration of dimethylsulfoxide was decreased. In water, the reaction was far to the left. The equilibrium constant of the reaction diminished linearly with an increase in water activity. The effect of solvent is fully reversible. In comparison to other enzymes, F1 seems unique in that solvent controls the equilibrium that exists within an enzyme population. This results from the effect of solvent on the partition of Pi between the catalytic site and the medium, and the large energetic barrier that prevents release of ATP from the catalytic site. In the presence of dimethylsulfoxide and Pi, ATP is continuously hydrolyzed and synthesized with formation and uptake of Pi from the medium. This process is essentially an exchange reaction analogous to the phosphate-ATP exchange reaction that is catalyzed by the ATP synthase in coupled energy transducing membranes.

Biophysical studies on ATP synthase

The isolation of ATP synthase (F0F1) (82) and F0 (83) 34 years ago finally revealed that F0F1 is a motor composed of F0 (ion-motor, abc subunits) and F1 (ATP-motor, alpha 3 beta 3 gamma delta epsilon subunits) (Fig. 1). The single molecule videotape (4, 5, 65, 66) revealed that gamma epsilon axis of F1 rotates counterclockwise, proceeds by each 2 pi/3 step, and is driven by torque of 42 pN.nm (12) with nearly 100% efficiency (5) (Fig. 4). The motor is composed of a rotor (gamma epsilon-F0-c) and a stator (alpha 3 beta 3 delta-F0-ab), and the rotor is connected to a shaft (gamma epsilon). Since F0F1 is driven by delta microH+ (9, 10, 84), biophysical studies on stable TF0F1 (1, 7) are essential to elucidate the mechanism. These include nanomechanics (4, 5) (Fig. 4), crystallography (2, 3) (Figs. 2 and 3), NMR (51, 52), ESR (56), synchrotron analysis (3, 28), and electrophysiology (10, 25). The KmATP value of rotation is 0.8 microM, with the Vmax of 3.9 rps (5). This corresponds to the bi-site catalysis in proton transport by F0F1 (10, 70, 84). X-ray crystallography of MF1 (2) and the alpha 3 beta 3 oligomer of TF1 (3) (Fig. 2) together with mutation analyses revealed the role of residues in the rotation. The idea of elastic energy store is proposed in alpha 3 beta 3 gamma during the stepping time (up to a few sec) after the ATP binding. Biological studies have partially clarified the genetic and kinetic regulation of the rotation in MF1. Both theories (6, 7, 62, 64, 85) and the biological significance (17) of the intramolecular rotation of F0F1 await further studies, especially those of F0 and minor subunits.

Kinetic modeling of rotary CF0F1-ATP synthase: storage of elastic energy during energy transduction

F0F1-ATP synthase uses proton-motive force to produce ATP from ADP and Pi. With regard to its rotary mechanics, this energy transducing molecular machine assumes a unique position among all enzymes. In the work presented here we put forward a detailed functional model which is based on experimental results obtained with ATP synthase from spinach chloroplasts. We focus on the role of the elastic element, realized by the stalk-like subunit gamma, whose function is energy transduction between F0 and F1 taking into account the H+/ATP coupling ratio of four. Fitting parameters are the rate constants and the torsional rigidity of gamma, which have been adjusted according to the experimental results where the influence of transmembrane DeltapH on the rates of ATP synthesis/hydrolysis is put to the test. We show that the input and output of torsional energy are regulated by purely statistical principles, giving rise to the amount of transiently stored energy to be sliding, depending on DeltapH. During conditions of maximal turnover gamma turns out to be wound up towards 102 degrees which corresponds to a torque of 5.3. 10-20 N.m.

Cross-linking of two beta subunits in the closed conformation in F1-ATPase

In the crystal structure of mitochondrial F1-ATPase, two beta subunits with a bound Mg-nucleotide are in "closed" conformations, whereas the third beta subunit without bound nucleotide is in an "open" conformation. In this "CCO" (beta-closed beta-closed beta-open) conformational state, Ile-390s of the two closed beta subunits, even though they are separated by an intervening alpha subunit, have a direct contact. We replaced the equivalent Ile of the alpha3beta3gamma subcomplex of thermophilic F1-ATPase with Cys and observed the formation of the beta-beta cross-link through a disulfide bond. The analysis of conditions required for the cross-link formation indicates that: (i) F1-ATPase takes the CCO conformation when two catalytic sites are filled with Mg-nucleotide, (ii) intermediate(s) with the CCO conformation are generated during catalytic cycle, (iii) the Mg-ADP inhibited form is in the CCO conformation, and (iv) F1-ATPase dwells in conformational state(s) other than CCO when only one (or none) of catalytic sites is filled by Mg-nucleotide or when catalytic sites are filled by Mg2+-free nucleotide. The alpha3beta3gamma subcomplex containing the beta-beta cross-link retained the activity of uni-site catalysis but lost that of multiple catalytic turnover, suggesting that open-closed transition of beta subunits is required for the rotation of gamma subunit but not for hydrolysis of a single ATP.