Catalysis-Enhancement via Rotary Fluctuation of F1-ATPase

Protein conformational fluctuations modulate the catalytic powers of enzymes. The frequency of conformational fluctuations may modulate the catalytic rate at individual reaction steps. In this study, we modulated the rotary fluctuation frequency of F₁-ATPase (F₁) by attaching probes with different viscous drag coefficients at the rotary shaft of F₁. Individual rotation pauses of F₁ between rotary steps correspond to the waiting state of a certain elementary reaction step of ATP hydrolysis. This allows us to investigate the impact of the frequency modulation of the rotary fluctuation on the rate of the individual reaction steps by measuring the duration of rotation pauses. Although phosphate release was significantly decelerated, the ATP-binding and hydrolysis steps were less sensitive or insensitive to the viscous drag coefficient of the probe. Brownian dynamics simulation based on a model similar to the Sumi-Marcus theory reproduced the experimental results, providing a theoretical framework for the role of rotational fluctuation in F₁ rate enhancement.     

Catalysis-Enhancement via Rotary Fluctuation of F1-ATPase

Protein conformational fluctuations modulate the catalytic powers of enzymes. The frequency of conformational fluctuations may modulate the catalytic rate at individual reaction steps. In this study, we modulated the rotary fluctuation frequency of F₁-ATPase (F₁) by attaching probes with different viscous drag coefficients at the rotary shaft of F₁. Individual rotation pauses of F₁ between rotary steps correspond to the waiting state of a certain elementary reaction step of ATP hydrolysis. This allows us to investigate the impact of the frequency modulation of the rotary fluctuation on the rate of the individual reaction steps by measuring the duration of rotation pauses. Although phosphate release was significantly decelerated, the ATP-binding and hydrolysis steps were less sensitive or insensitive to the viscous drag coefficient of the probe. Brownian dynamics simulation based on a model similar to the Sumi-Marcus theory reproduced the experimental results, providing a theoretical framework for the role of rotational fluctuation in F₁ rate enhancement.     

Single-Molecule Analysis of the Rotation of F1-ATPase under High Hydrostatic Pressure

F₁-ATPase is the water-soluble part of ATP synthase and is an ATP-driven rotary molecular motor that rotates the rotary shaft against the surrounding stator ring, hydrolyzing ATP. Although the mechanochemical coupling mechanism of F₁-ATPase has been well studied, the molecular details of individual reaction steps remain unclear. In this study, we conducted a single-molecule rotation assay of F₁ from thermophilic bacteria under various pressures from 0.1 to 140 MPa. Even at 140 MPa, F₁ actively rotated with regular 120° steps in a counterclockwise direction, showing high conformational stability and retention of native properties. Rotational torque was also not affected. However, high hydrostatic pressure induced a distinct intervening pause at the ATP-binding angles during continuous rotation. The pause was observed under both ATP-limiting and ATP-saturating conditions, suggesting that F₁ has two pressure-sensitive reactions, one of which is evidently ATP binding. The rotation assay using a mutant F₁(βE190D) suggested that the other pressure-sensitive reaction occurs at the same angle at which ATP binding occurs. The activation volumes were determined from the pressure dependence of the rate constants to be +100 Å³ and +88 Å³ for ATP binding and the other pressure-sensitive reaction, respectively. These results are discussed in relation to recent single-molecule studies of F₁ and pressure-induced protein unfolding.     

Direct identification of the rotary angle of ATP cleavage in F1-ATPase from Bacillus PS3

F₁-ATPase is the world’s smallest biological rotary motor driven by ATP hydrolysis at three catalytic β subunits. The 120° rotational step of the central shaft γ consists of 80° substep driven by ATP binding and a subsequent 40° substep. In order to correlate timing of ATP cleavage at a specific catalytic site with a rotary angle, we designed a new F₁-ATPase (F₁) from thermophilic Bacillus PS3 carrying β(E190D/F414E/F420E) mutations, which cause extremely slow rates of both ATP cleavage and ATP binding. We produced an F₁ molecule that consists of one mutant β and two wild-type βs (hybrid F₁). As a result, the new hybrid F₁ showed two pausing angles that are separated by 200°. They are attributable to two slowed reaction steps in the mutated β, thus providing the direct evidence that ATP cleavage occurs at 200° rather than 80° subsequent to ATP binding at 0°. This scenario resolves the long-standing unclarified issue in the chemomechanical coupling scheme and gives insights into the mechanism of driving unidirectional rotation.     

Mechanical Modulation of ATP-binding Affinity of V1-ATPase

V₁-ATPase is a rotary motor protein that rotates the central shaft in a counterclockwise direction hydrolyzing ATP. Although the ATP-binding process is suggested to be the most critical reaction step for torque generation in F₁-ATPase (the closest relative of V₁-ATPase evolutionarily), the role of ATP binding for V₁-ATPase in torque generation has remained unclear. In the present study, we performed single-molecule manipulation experiments on V₁-ATPase from Thermus thermophilus to investigate how the ATP-binding process is modulated upon rotation of the rotary shaft. When V₁-ATPase showed an ATP-waiting pause, it was stalled at a target angle and then released. Based on the response of the V₁-ATPase released, the ATP-binding probability was determined at individual stall angles. It was observed that the rate constant of ATP binding (k_on) was exponentially accelerated with forward rotation, whereas the rate constant of ATP release (k_off) was exponentially reduced. The angle dependence of the k_off of V₁-ATPase was significantly smaller than that of F₁-ATPase, suggesting that the ATP-binding process is not the major torque-generating step in V₁-ATPase. When V₁-ATPase was stalled at the mean binding angle to restrict rotary Brownian motion, k_on was evidently slower than that determined from free rotation, showing the reaction rate enhancement by conformational fluctuation. It was also suggested that shaft of V₁-ATPase should be rotated at least 277° in a clockwise direction for efficient release of ATP under ATP-synthesis conditions.     

Single-Molecule Analysis of the Rotation of F1-ATPase under High Hydrostatic Pressure

F₁-ATPase is the water-soluble part of ATP synthase and is an ATP-driven rotary molecular motor that rotates the rotary shaft against the surrounding stator ring, hydrolyzing ATP. Although the mechanochemical coupling mechanism of F₁-ATPase has been well studied, the molecular details of individual reaction steps remain unclear. In this study, we conducted a single-molecule rotation assay of F₁ from thermophilic bacteria under various pressures from 0.1 to 140 MPa. Even at 140 MPa, F₁ actively rotated with regular 120° steps in a counterclockwise direction, showing high conformational stability and retention of native properties. Rotational torque was also not affected. However, high hydrostatic pressure induced a distinct intervening pause at the ATP-binding angles during continuous rotation. The pause was observed under both ATP-limiting and ATP-saturating conditions, suggesting that F₁ has two pressure-sensitive reactions, one of which is evidently ATP binding. The rotation assay using a mutant F₁(βE190D) suggested that the other pressure-sensitive reaction occurs at the same angle at which ATP binding occurs. The activation volumes were determined from the pressure dependence of the rate constants to be +100 Å³ and +88 Å³ for ATP binding and the other pressure-sensitive reaction, respectively. These results are discussed in relation to recent single-molecule studies of F₁ and pressure-induced protein unfolding.     

The nonlinear chemo-mechanic coupled dynamics of the F 1 -ATPase molecular motor

The ATP synthase consists of two opposing rotary motors, F₀ and F₁, coupled to each other. When the F₁ motor is not coupled to the F₀ motor, it can work in the direction hydrolyzing ATP, as a nanomotor called F₁-ATPase. It has been reported that the stiffness of the protein varies nonlinearly with increasing load. The nonlinearity has an important effect on the rotating rate of the F₁-ATPase. Here, considering the nonlinearity of the γ shaft stiffness for the F₁-ATPase, a nonlinear chemo-mechanical coupled dynamic model of F₁ motor is proposed. Nonlinear vibration frequencies of the γ shaft and their changes along with the system parameters are investigated. The nonlinear stochastic response of the elastic γ shaft to thermal excitation is analyzed. The results show that the stiffness nonlinearity of the γ shaft causes an increase of the vibration frequency for the F₁ motor, which increases the motor’s rotation rate. When the concentration of ATP is relatively high and the load torque is small, the effects of the stiffness nonlinearity on the rotating rates of the F₁ motor are obvious and should be considered. These results are useful for improving calculation of the rotating rate for the F₁ motor and provide insight about the stochastic wave mechanics of F₁-ATPase.     

Effect of external torque on the ATP-driven rotation of F1-ATPase

F₁-ATPase is a rotary molecular motor powered by the torque generated by another rotary motor F₀ to synthesize ATP in vivo. Therefore elucidation of the behavior of F₁ under external torque is very important. Here, we applied controlled external torque by electrorotation and investigated the ATP-driven rotation for the first time. The rotation was accelerated by assisting torque and decelerated by hindering torque, but F₁ rarely showed rotations in the ATP synthesis direction. This is consistent with the prediction by models based on the assumption that the rotation is tightly coupled to ATP hydrolysis and synthesis. At low ATP concentrations (2 and 5 μM), 120° stepwise rotation was observed. Due to the temperature rise during experiment, quantitative interpretation of the data is difficult, but we found that the apparent rate constant of ATP binding clearly decreased by hindering torque and increased by assisting torque.     

Coupling Proton Movement to ATP Synthesis in the Chloroplast ATP Synthase

The chloroplast F₀F₁-ATP synthase-ATPase is a tiny rotary motor responsible for coupling ATP synthesis and hydrolysis to the light-driven electrochemical proton gradient. Reversible oxidation/reduction of a dithiol, located within a special regulatory domain of the γ subunit of the chloroplast F₁ enzyme, switches the enzyme between an inactive and an active state. This regulatory mechanism is unique to the ATP synthases of higher plants and its physiological significance lies in preventing nonproductive depletion of essential ATP pools in the dark. The three-dimensional structure of the chloroplast F₁ gamma subunit has not yet been solved. To examine the mechanism of dithiol regulation, a model of the chloroplast gamma subunit was obtained through segmental homology modeling based on the known structures of the mitochondrial and bacterial γ subunits, together with de novo construction of the unknown regulatory domain. The model has provided considerable insight into how the dithiol might modulate catalytic function. This has, in turn, suggested a mechanism by which rotation of subunits in F₀, the transmembrane proton channel portion of the enzyme, can be coupled, via the ε subunit, to rotation of the γ subunit of F₁ to achieve the 120° (or 90°+30°) stepping action that is characteristic of F₁ γ subunit rotation.     

Reversible control of F1-ATPase rotational motion using a photochromic ATP analog at the single molecule level

Motor enzymes such as F₁-ATPase and kinesin utilize energy from ATP for their motion. Molecular motions of these enzymes are critical to their catalytic mechanisms and were analyzed thoroughly using a single molecule observation technique. As a tool to analyze and control the ATP-driven motor enzyme motion, we recently synthesized a photoresponsive ATP analog with a p-tert-butylazobenzene tethered to the 2′ position of the ribose ring. Using cis/trans isomerization of the azobenzene moiety, we achieved a successful reversible photochromic control over a kinesin-microtubule system in an in vitro motility assay. Here we succeeded to control the hydrolytic activity and rotation of the rotary motor enzyme, F₁-ATPase, using this photosensitive ATP analog. Subsequent single molecule observations indicated a unique pause occurring at the ATP binding angle position in the presence of cis form of the analog.     

A unique mechanism of curcumin inhibition on F1 ATPase

ATP synthase (F-ATPase) function depends upon catalytic and rotation cycles of the F₁ sector. Previously, we found that F₁ ATPase activity is inhibited by the dietary polyphenols, curcumin, quercetin, and piceatannol, but that the inhibitory kinetics of curcumin differs from that of the other two polyphenols (Sekiya et al., 2012, 2014). In the present study, we analyzed Escherichia coli F₁ ATPase rotational catalysis to identify differences in the inhibitory mechanism of curcumin versus quercetin and piceatannol. These compounds did not affect the 120° rotation step for ATP binding and ADP release, though they significantly increased the catalytic dwell duration for ATP hydrolysis. Analysis of wild-type F₁ and a mutant lacking part of the piceatannol binding site (γΔ277–286) indicates that curcumin binds to F₁ differently from piceatannol and quercetin. The unique inhibitory mechanism of curcumin is also suggested from its effect on F₁ mutants with defective β–γ subunit interactions (γMet23 to Lys) or β conformational changes (βSer174 to Phe). These results confirm that smooth interaction between each β subunit and entire γ subunit in F₁ is pertinent for rotational catalysis.     

Basic Properties of Rotary Dynamics of the Molecular Motor Enterococcus hirae V1-ATPase

V-ATPases are rotary molecular motors that generally function as proton pumps. We recently solved the crystal structures of the V₁ moiety of Enterococcus hirae V-ATPase (EhV₁) and proposed a model for its rotation mechanism. Here, we characterized the rotary dynamics of EhV₁ using single-molecule analysis employing a load-free probe. EhV₁ rotated in a counterclockwise direction, exhibiting two distinct rotational states, namely clear and unclear, suggesting unstable interactions between the rotor and stator. The clear state was analyzed in detail to obtain kinetic parameters. The rotation rates obeyed Michaelis-Menten kinetics with a maximal rotation rate (V_max) of 107 revolutions/s and a Michaelis constant (K_m) of 154 μm at 26 °C. At all ATP concentrations tested, EhV₁ showed only three pauses separated by 120°/turn, and no substeps were resolved, as was the case with Thermus thermophilus V₁-ATPase (TtV₁). At 10 μm ATP (⪡K_m), the distribution of the durations of the ATP-waiting pause fit well with a single-exponential decay function. The second-order binding rate constant for ATP was 2.3 × 10⁶ m⁻¹ s⁻¹. At 40 mm ATP (⪢K_m), the distribution of the durations of the catalytic pause was reproduced by a consecutive reaction with two time constants of 2.6 and 0.5 ms. These kinetic parameters were similar to those of TtV₁. Our results identify the common properties of rotary catalysis of V₁-ATPases that are distinct from those of F₁-ATPases and will further our understanding of the general mechanisms of rotary molecular motors.     

Thermodynamic analysis of F1‐ATPase rotary catalysis using high‐speed imaging

F₁-ATPase (F₁) is a rotary motor protein fueled by ATP hydrolysis. Although the mechanism for coupling rotation and catalysis has been well studied, the molecular details of individual reaction steps remain elusive. In this study, we performed high-speed imaging of F₁ rotation at various temperatures using the total internal reflection dark-field (TIRDF) illumination system, which allows resolution of the F₁ catalytic reaction into elementary reaction steps with a high temporal resolution of 72 µs. At a high concentration of ATP, F₁ rotation comprised distinct 80° and 40° substeps. The 80° substep, which exhibited significant temperature dependence, is triggered by the temperature-sensitive reaction, whereas the 40° substep is triggered by ATP hydrolysis and the release of inorganic phosphate (P_i). Then, we conducted Arrhenius analysis of the reaction rates to obtain the thermodynamic parameters for individual reaction steps, that is, ATP binding, ATP hydrolysis, P_i release, and TS reaction. Although all reaction steps exhibited similar activation free energy values, ΔG^‡ = 53–56 kJ mol⁻¹, the contributions of the enthalpy (ΔH^‡), and entropy (ΔS^‡) terms were significantly different; the reaction steps that induce tight subunit packing, for example, ATP binding and TS reaction, showed high positive values of both ΔH^‡ and ΔS^‡. The results may reflect modulation of the excluded volume as a function of subunit packing tightness at individual reaction steps, leading to a gain or loss in water entropy.     

Resonance phenomenon of the ATP motor as an ultrasensitive biosensor

We designed a rotary biosensor as a damping effector, with the rotation of the F₀F₁-ATPase driven by Adenosine Triphosphate (ATP) synthesis being indicated by the fluorescence intensity and a damping effect force being induced by the binding of an RNA molecule to its probe on the rotary biosensor. We found that the damping effect could contribute to the resonance phenomenon and energy transfer process of our rotary biosensor in the liquid phase. This result indicates that the ability of the rotary motor to operate in the vibration harmonic mode depends on the environmental conditions and mechanism in that a few molecules of the rotary biosensor could induce all of the sensor molecules to fluoresce together. These findings contribute to the theory study of the ATPase motor and future development of biosensors for ultrasensitive detection.     

Met23Lys mutation in subunit gamma of FOF1-ATP synthase from Rhodobacter capsulatus impairs the activation of ATP hydrolysis by protonmotive force

H⁺-F_OF₁-ATP synthase couples proton flow through its membrane portion, F_O, to the synthesis of ATP in its headpiece, F₁. Upon reversal of the reaction the enzyme functions as a proton pumping ATPase. Even in the simplest bacterial enzyme the ATPase activity is regulated by several mechanisms, involving inhibition by MgADP, conformational transitions of the ε subunit, and activation by protonmotive force. Here we report that the Met23Lys mutation in the γ subunit of the Rhodobacter capsulatus ATP synthase significantly impaired the activation of ATP hydrolysis by protonmotive force. The impairment in the mutant was due to faster enzyme deactivation that was particularly evident at low ATP/ADP ratio. We suggest that the electrostatic interaction of the introduced γLys23 with the DELSEED region of subunit β stabilized the ADP-inhibited state of the enzyme by hindering the rotation of subunit γ rotation which is necessary for the activation.     

Torque Generation Mechanism of F1-ATPase upon NTP Binding

Molecular machines fueled by NTP play pivotal roles in a wide range of cellular activities. One common feature among NTP-driven molecular machines is that NTP binding is a major force-generating step among the elementary reaction steps comprising NTP hydrolysis. To understand the mechanism in detail,in this study, we conducted a single-molecule rotation assay of the ATP-driven rotary motor protein F₁-ATPase using uridine triphosphate (UTP) and a base-free nucleotide (ribose triphosphate) to investigate the impact of a pyrimidine base or base depletion on kinetics and force generation. Although the binding rates of UTP and ribose triphosphate were 10³ and 10⁶ times, respectively, slower than that of ATP, they supported rotation, generating torque comparable to that generated by ATP. Affinity change of F₁ to UTP coupled with rotation was determined, and the results again were comparable to those for ATP, suggesting that F₁ exerts torque upon the affinity change to UTP via rotation similar to ATP-driven rotation. Thus, the adenine-ring significantly enhances the binding rate, although it is not directly involved in force generation. Taking into account the findings from another study on F₁ with mutated phosphate-binding residues, it was proposed that progressive bond formation between the phosphate region and catalytic residues is responsible for the rotation-coupled change in affinity.     

Torque Generation Mechanism of F1-ATPase upon NTP Binding

Molecular machines fueled by NTP play pivotal roles in a wide range of cellular activities. One common feature among NTP-driven molecular machines is that NTP binding is a major force-generating step among the elementary reaction steps comprising NTP hydrolysis. To understand the mechanism in detail,in this study, we conducted a single-molecule rotation assay of the ATP-driven rotary motor protein F₁-ATPase using uridine triphosphate (UTP) and a base-free nucleotide (ribose triphosphate) to investigate the impact of a pyrimidine base or base depletion on kinetics and force generation. Although the binding rates of UTP and ribose triphosphate were 10³ and 10⁶ times, respectively, slower than that of ATP, they supported rotation, generating torque comparable to that generated by ATP. Affinity change of F₁ to UTP coupled with rotation was determined, and the results again were comparable to those for ATP, suggesting that F₁ exerts torque upon the affinity change to UTP via rotation similar to ATP-driven rotation. Thus, the adenine-ring significantly enhances the binding rate, although it is not directly involved in force generation. Taking into account the findings from another study on F₁ with mutated phosphate-binding residues, it was proposed that progressive bond formation between the phosphate region and catalytic residues is responsible for the rotation-coupled change in affinity.     

One rotary mechanism for F1-ATPase over ATP concentrations from millimolar down to nanomolar

F₁-ATPase is a rotary molecular motor in which the central γ-subunit rotates inside a cylinder made of α₃β₃-subunits. The rotation is driven by ATP hydrolysis in three catalytic sites on the β-subunits. How many of the three catalytic sites are filled with a nucleotide during the course of rotation is an important yet unsettled question. Here we inquire whether F₁ rotates at extremely low ATP concentrations where the site occupancy is expected to be low. We observed under an optical microscope rotation of individual F₁ molecules that carried a bead duplex on the γ-subunit. Time-averaged rotation rate was proportional to the ATP concentration down to 200 pM, giving an apparent rate constant for ATP binding of 2 × 10⁷ M⁻¹s⁻¹. A similar rate constant characterized bulk ATP hydrolysis in solution, which obeyed a simple Michaelis-Menten scheme between 6 mM and 60 nM ATP. F₁ produced the same torque of ~40 pN·nm at 2 mM, 60 nM, and 2 nM ATP. These results point to one rotary mechanism governing the entire range of nanomolar to millimolar ATP, although a switchover between two mechanisms cannot be dismissed. Below 1 nM ATP, we observed less regular rotations, indicative of the appearance of another reaction scheme.     

Single-molecule Study on the Temperature-sensitive Reaction of F1-ATPase with a Hybrid F1 Carrying a Single ��(E190D)

F₁-ATPase is a rotary molecular motor in which the γ-subunit rotates against the α₃β₃ cylinder. The unitary γ-rotation is a 120° step comprising 80 and 40° substeps, each of these initiated by ATP binding and ADP release and by ATP hydrolysis and inorganic phosphate release, respectively. In our previous study on γ-rotation at low temperatures, a highly temperature-sensitive (TS) reaction step of F₁-ATPase from thermophilic Bacillus PS3 was found below 9 °C as an intervening pause before the 80° substep at the same angle for ATP binding and ADP release. However, it remains unclear as to which reaction step the TS reaction corresponds. In this study, we found that the mutant F₁(βE190D) from thermophilic Bacillus PS3 showed a clear pause of the TS reaction below 18 °C. In an attempt to identify the catalytic state of the TS reaction, the rotation of the hybrid F₁, carrying a single copy of βE190D, was observed at 18 °C. The hybrid F₁ showed a pause of the TS reaction at the same angle as for the ATP binding of the incorporated βE190D, although kinetic analysis revealed that the TS reaction is not the ATP binding step. These findings suggest that the TS reaction is a structural rearrangement of β before or after ATP binding.F₁-ATPase (F₁)² is an ATP-driven rotary motor protein. The subunit composition of the bacterial F₁-ATPase is α₃β₃γδϵ, and the minimum complex of F₁-ATPase as a rotary motor is α₃β₃γ subcomplex. This motor protein forms the F_oF₁-ATP synthase complex by binding to another rotary motor, namely, F_o, which is driven by the proton flux resulting from the proton motive force across the membranes (1–4). Under physiological conditions, where the proton motive force is sufficiently large, F_o forcibly rotates F₁-ATPase in the reverse direction of F₁-ATPase, leading the reverse reaction of ATP hydrolysis, i.e. ATP synthesis from ADP and inorganic phosphate (P_i). When the proton motive force diminishes or F₁ is isolated from F_o, F₁-ATPase hydrolyzes ATP to rotate the γ-subunit against the α₃β₃ stator ring in the counterclockwise direction as viewed from the F_o side (5). The catalytic sites are located at the interface of the α- and β-subunits, predominantly on the β-subunit (6). Each β-subunit carries out a single turnover of ATP hydrolysis during the γ-rotation of 360° following the common catalytic reaction pathway, whereas they are 120° different in the catalytic phase. In this manner, the three β-subunits undergo different reaction steps of ATP hydrolysis upon each rotational step. The rotary motion of the γ-subunit has been demonstrated by biochemical (7) and spectroscopic methods (8) and directly proved in single-molecule observation studies (5).Since the establishment of the single-molecule rotation assay, the chemomechanical coupling scheme of F₁ has been studied extensively by resolving the rotation into discrete steps. The stepping rotation was first observed under an ATP-limiting condition where F₁ makes discrete 120° steps upon ATP binding (9). Then, high speed imaging of the rotation with a small probe of low friction was performed, which revealed that the 120° step comprises 80 and 40° substeps, each initiated by ATP binding, and two unknown consecutive reactions, respectively (10). This finding necessitated the identification of the two reactions that trigger the 40° substep. Hence, the rotation assay was performed using a mutant, namely F₁(βE190D), and a slowly hydrolyzed ATP analog, namely ATPγS (11). Glutamate 190 of the β-subunit of F₁, derived from thermophilic Bacillus PS3 and the corresponding glutamates from other F₁-ATPases (Glu-181 of F₁ from Escherichia coli and Glu-188 of F₁ from bovine mitochondria), has been identified as one of the most critical catalytic residues for ATP hydrolysis (6, 12–15). When this glutamate was substituted with aspartic acid, which has a shorter side chain than that of glutamate, the ATP cleavage step of F₁ was drastically slowed. In the rotation assay, this mutant showed a distinct long pause before the 40° substep. ATPγS also caused a long pause before the 40° substep. These observations established that the 40° substep is initiated by hydrolysis. Accordingly, the pause angles before the 80 and 40° substeps are referred to as to the binding angle and the catalytic angle, respectively. Then, the rotation assay was performed in the presence of a high amount of P_i in the solution. It was shown that P_i rebinding caused the long pause at the catalytic angle, suggesting that P_i is released before the 40° substep (16).However, the reaction scheme of F₁ cannot be established by simply assigning each reaction step to either the binding angle or the catalytic angle, because each reaction step must be assigned to one of the three binding or catalytic angles when considering the 360° cyclic reaction scheme of each β-subunit. Direct information about the timing of ADP release was obtained by simultaneous imaging of fluorescently labeled nucleotides and γ rotation, which showed that each β retains ADP until the γ rotates 240° after binding of the nucleotide as ATP and releases ADP between 240 and 320° (16, 17). Another powerful approach is the use of a hybrid F₁ carrying a mutant β that causes a characteristic pause during the rotation. In a previous study, the hybrid F₁ carrying a single copy of β(E190D), α₃β₂β(E190D)γ, showed a distinct pause caused by the slow hydrolysis of β(E190D) at +200° from the ATP binding angle of the mutant β (18). From this observation, it was confirmed that each β executes the chemical cleavage of the bound ATP at +200° from the angle where the ATP binds to β. The asymmetric feature of the pause of the hybrid F₁ was also utilized in other experiments as a marker in the rotational trajectory to correlate the rotational angle and the conformational state of β (19) or to determine the state of F₁ in the crystal structures as the pausing state at catalytic angle (20).Recently, we have found a new reaction intermediate of F₁ rotation as a clear intervening pause before the 80° substep in the rotation assay below 9 °C (21). Furuike et al. (22) also observed the TS reaction in a high speed imaging experiment. The rate constant of this reaction was remarkably sensitive to temperature, giving a Q₁₀ factor around 19. When ADP was added to solution, the pause before the 80° substep was prolonged, whereas the solution P_i caused a longer pause before the 40° substep (21). Although this result can be explained by assuming that the temperature-sensitive (TS) reaction is ADP release, it was not decisive for the identification of the TS reaction.In this study, we found that the mutant F₁(βE190D) also exhibits the distinct pause of the TS reaction but at a higher temperature than for the wild-type F₁, i.e. at 18 °C. This feature was advantageous in identifying the angle position of the TS reaction in the catalytic cycle for each β-subunit coupled with the 360° rotation. Taking advantage of the feature of the hybrid F₁, we analyzed the rotational behavior of the hybrid F₁ at 18 °C in order to assign the angle position of the TS reaction in the catalytic cycle of the 360° rotation, and we have shown that the TS reaction is not directly involved in the ADP release but in some conformational rearrangement before or after ATP binding step.     

A change in the radius of rotation of F1-ATPase indicates a tilting motion of the central shaft

F₁-ATPase is a water-soluble portion of F_oF₁-ATP synthase and rotary molecular motor that exhibits reversibility in chemical reactions. The rotational motion of the shaft subunit γ has been carefully scrutinized in previous studies, but a tilting motion of the shaft has never been explicitly postulated. Here we found a change in the radius of rotation of the probe attached to the shaft subunit γ between two different intermediate states in ATP hydrolysis: one waiting for ATP binding, and the other waiting for ATP hydrolysis and/or subsequent product release. Analysis of this radial difference indicates a ∼4° outward tilting of the γ-subunit induced by ATP binding. The tilt angle is a new parameter, to our knowledge, representing the motion of the γ-subunit and provides a new constraint condition of the ATP-waiting conformation of F₁-ATPase, which has not been determined as an atomic structure from x-ray crystallography.