A kinetic mechanism for the fast movement of Chara myosin

Endoplasmic streaming of characean cells of Nitella or Chara is known to be in the range 30-100 microm/second. The Chara myosin extracted from the cells and fixed onto a glass surface was found to move muscle actin filaments at a velocity of 60 microm/second. This is ten times faster than that of skeletal muscle myosin (myosin II). In this study, the displacement caused by single Chara myosin molecules was measured using optical trapping nanometry. The step size of Chara myosin was approximately 19nm. This step size is longer than that of skeletal muscle myosin but shorter than that of myosin V. The dwell time of the steps was relatively long, and this most likely resulted from two rate-limiting steps, the dissociation of ADP and the binding of ATP. The rate of ADP release from Chara myosin after the completion of the force-generation step was similar to that of myosin V, but was considerably slower than that of skeletal muscle myosin. The 19nm step size and the dwell time obtained could not explain the fast movement. The fast movement could be explained by the load-dependent release of ADP. As the load imposed on the myosin decreased, the rate of ADP release increased. We propose that the interaction of Chara myosin with an actin filament resulted in a negative load being imposed on other myosin molecules interacting with the same actin filament. This resulted in an accelerated release of ADP and the fast sliding movement.     

Human myosin Vc is a low duty ratio nonprocessive motor

There are three distinct members of the myosin V family in vertebrates, and each isoform is involved in different membrane trafficking pathways. Both myosin Va and Vb have demonstrated that they are high duty ratio motors that are consistent with the processive nature of these motors. Here we report that the ATPase cycle mechanism of the single-headed construct of myosin Vc is quite different from those of other vertebrate myosin V isoforms. K(ATPase) of the actin-activated ATPase was 62 microm, which is much higher than that of myosin Va ( approximately 1 mum). The rate of ADP release from actomyosin Vc was 12.7 s(-1), which was 2 times greater than the entire ATPase cycle rate, 6.5 s(-1). P(i) burst size was 0.31, indicating that the equilibrium of the ATP hydrolysis step is shifted to the prehydrolysis form. Our kinetic model, based on all kinetic data we determined in this study, suggests that myosin Vc spends the majority of the ATPase cycle time in the weak actin binding state in contrast to myosin Va and Vb. Consistently, the two-headed myosin Vc construct did not show processive movement in total internal reflection fluorescence microscope analysis, demonstrating that myosin Vc is a nonprocessive motor. Our findings suggest that myosin Vc fulfills its function as a cargo transporter by different mechanisms from other myosin V isoforms.     

Mechanism of inhibition of skeletal muscle actomyosin by N-benzyl-p-toluenesulfonamide

N-Benzyl-p-toluenesulfonamide (BTS) is a small organic molecule that specifically inhibits the contraction of fast skeletal muscle fibers. To determine the mechanism of inhibition by BTS, we performed a kinetic analysis of its effects on the elementary steps of the actomyosin subfragment-1 ATPase cycle. BTS decreases the steady-state acto-S1 ATPase rate approximately 10-fold and increases the actin concentration for half-maximal activation. BTS primarily affects three of the elementary steps of the reaction pathway. It decreases the rate of P(i) release >20-fold in the absence of actin and >100-fold in the presence of actin. It decreases the rate of S1.ADP dissociation from 3.9 to 0.8 s(-)(1) while decreasing the S1.ADP dissociation constant from 2.3 to 0.8 microM. BTS weakens the apparent affinity of S1.ADP for actin, increasing the K(d) from 7.0 to 29.5 microM. ATP binding to S1, hydrolysis, and the affinity of nucleotide-free S1 for actin are unaffected by BTS. Kinetic modeling indicates that the binding of BTS to myosin depends on actin association/dissociation and on nucleotide state. Our results suggest that the reduction of the acto-S1 ATPase rate is due to the inhibition of P(i) release, and the suppression of tension is due to inhibition of P(i) release in conjunction with the decreased apparent affinity of S1.ADP.P(i) and S1.ADP for actin.     

Kinetic mechanism and regulation of myosin VI.

Myosin VI is the only pointed end-directed myosin identified and is likely regulated by heavy chain phosphorylation (HCP) at the actin-binding site in vivo. We undertook a detailed kinetic analysis of the actomyosin VI ATPase cycle to determine whether there are unique adaptations to support reverse directionality and to determine the molecular basis of regulation by HCP. ADP release is the rate-limiting step in the cycle. ATP binds slowly and with low affinity. At physiological nucleotide concentrations, myosin VI is strongly bound to actin and populates the nucleotide-free (rigor) and ADP-bound states. Therefore, myosin VI is a high duty ratio motor adapted for maintaining tension and has potential to be processive. A mutant mimicking HCP increases the rate of P(i) release, which lowers the K(ATPase) but does not affect ADP release. These measurements are the first to directly measure the steps regulated by HCP for any myosin. Measurements with double-headed myosin VI demonstrate that the heads are not independent, and the native dimer hydrolyzes multiple ATPs per diffusional encounter with an actin filament. We propose an alternating site model for the stepping and processivity of two-headed high duty ratio myosins.     

Phosphate enhances myosin-powered actin filament velocity under acidic conditions in a motility assay

Elevated levels of inorganic phosphate (P(i)) are believed to inhibit muscular force by reversing myosin's force-generating step. These same levels of P(i) can also affect muscle velocity, but the molecular basis underlying these effects remains unclear. We directly examined the effect of P(i) (30 mM) on skeletal muscle myosin's ability to translocate actin (V(actin)) in an in vitro motility assay. Manipulation of the pH enabled us to probe rebinding of P(i) to myosin's ADP-bound state, while changing the ATP concentration probed rebinding to the rigor state. Surprisingly, the addition of P(i) significantly increased V(actin) at both pH 6.8 and 6.5, causing a doubling of V(actin) at pH 6.5. To probe the mechanisms underlying this increase in speed, we repeated these experiments while varying the ATP concentration. At pH 7.4, the effects of P(i) were highly ATP dependent, with P(i) slowing V(actin) at low ATP (<500 μM), but with a minor increase at 2 mM ATP. The P(i)-induced slowing of V(actin), evident at low ATP (pH 7.4), was minimized at pH 6.8 and completely reversed at pH 6.5. These data were accurately fit with a simple detachment-limited kinetic model of motility that incorporated a P(i)-induced prolongation of the rigor state, which accounted for the slowing of V(actin) at low ATP, and a P(i)-induced detachment from a strongly bound post-power-stroke state, which accounted for the increase in V(actin) at high ATP. These findings suggest that P(i) differentially affects myosin function: enhancing velocity, if it rebinds to the ADP-bound state, while slowing velocity, if it binds to the rigor state.     

Load-dependent kinetics of myosin-V can explain its high processivity

Recent studies provide strong evidence that single myosin class V molecules transport vesicles and organelles processively along F-actin, taking several 36-nm steps, 'hand over hand', for each diffusional encounter. The mechanisms regulating myosin-V's processivity remain unknown. Here, we have used an optical-tweezers-based transducer to measure the effect of load on the mechanical interactions between rabbit skeletal F-actin and a single head of mouse brain myosin-V, which produces its working stroke in two phases. We found that the lifetimes of the first phase of the working stroke changed exponentially and about 10-fold over a range of pushing and pulling forces of +/- 1.5 pN. Stiffness measurements suggest that intramolecular forces could approach 3.6 pN when both heads are bound to F-actin, in which case extrapolation would predict the detachment kinetics of the front head to slow down 50-fold and the kinetics of the rear head to accelerate respectively. This synchronizing effect on the chemo-mechanical cycles of the heads increases the probability of the trail head detaching first and causes a strong increase in the number of forward steps per diffusional encounter over a system with no strain dependence.     

Kinetic mechanism of blebbistatin inhibition of nonmuscle myosin IIb

We examined the effect of blebbistatin on the kinetic properties of nonmuscle myosin IIB subfragment 1 (NMIIB S1). Blebbistatin is a small molecule that affects cell blebbing during the process of cell division, which has been shown to decrease the myosin ATPase activity of a number of myosins [Straight et al. (2003) Science 299, 1743-1747]. The steady-state actin-activated ATPase activity of NMIIB S1 was decreased approximately 90% at 40 microM actin in the presence of blebbistatin. Stopped-flow techniques were employed to elucidate the effect of blebbistatin on the various steps of the NMIIB S1 cross-bridge cycle. Blebbistatin did not affect ATP binding and hydrolysis. Binding to actin in the presence of ADP (0.57 +/-0.08 microM(-1) s(-1)) was reduced slightly in the presence of blebbistatin (0.38 +/- 0.03 microM(-1) s(-1)), while mantADP dissociation from acto-NMIIB S1 was reduced (approximately 30%). P(i) release was blocked in the presence of blebbistatin. Accordingly, the apparent affinity of NMIIB S1 for actin in the presence of ATP was greatly reduced. Based on the above data, we surmise that blebbistatin inhibits the ATPase activity of NMIIB S1 primarily by blocking entry into the strong binding state; secondarily, it reduces the rate of ADP release. These effects are likely mediated by binding of blebbistatin within the myosin cleft that progressively closes in forming the acto-myosin rigor state.     

A kinetic model that explains the effect of inorganic phosphate on the mechanics and energetics of isometric contraction of fast skeletal muscle

A conventional five-step chemo-mechanical cycle of the myosin–actin ATPase reaction, which implies myosin detachment from actin upon release of hydrolysis products (ADP and phosphate, Pi) and binding of a new ATP molecule, is able to fit the [Pi] dependence of the force and number of myosin motors during isometric contraction of skeletal muscle. However, this scheme is not able to explain why the isometric ATPase rate of fast skeletal muscle is decreased by an increase in [Pi] much less than the number of motors. The question can be solved assuming the presence of a branch in the cycle: in isometric contraction, when the force generation process by the myosin motor is biased at the start of the working stroke, the motor can detach at an early stage of the ATPase cycle, with Pi still bound to its catalytic site, and then rapidly release the hydrolysis products and bind another ATP. In this way, the model predicts that in fast skeletal muscle the energetic cost of isometric contraction increases with [Pi]. The large dissociation constant of the product release in the branched pathway allows the isometric myosin–actin reaction to fit the equilibrium constant of the ATPase.     

Myosin Va becomes a low duty ratio motor in the inhibited form

Vertebrate myosin Va is a typical processive motor with high duty ratio. Recent studies have revealed that the actin-activated ATPase activity of the full-length myosin Va (M5aFull) is inhibited at a low [Ca(2+)], which is due to the formation of a folded conformation of M5aFull. To clarify the underlying inhibitory mechanism, we analyzed the actin-activated ATP hydrolysis mechanism of the M5aFull at the inhibited and the activated states, respectively. Marked differences were found in the hydrolysis, P(i) release, and ADP release steps between the activated and the inhibited states. The kinetic constants of these steps of the activated state were similar to those of the unregulated S1 construct, in which the rate-limiting step was the ADP release step. On the other hand, the P(i) release rate from acto-M5aFull was decreased in EGTA by >1,000-fold, which makes this step the rate-limiting step for the actin-activated ATP hydrolysis cycle of M5aFull. The ADP off rate from acto-M5aFull was decreased by approximately 10-fold, and the equilibrium between the prehydrolysis state and the post hydrolysis state was shifted toward the former state in the inhibited state of M5aFull. Because of these changes, M5aFull spends a majority of the ATP hydrolysis cycling time in the weak actin binding state. The present results indicate that M5aFull molecules at a low [Ca(2+)] is inhibited as a cargo transporter not only due to the decrease in the cross-bridge cycling rate but also due to the decrease in the duty ratio thus being dissociated from actin.     

Evidence for a novel,strongly bound acto-S1 complex carrying ADP and phosphate stabilized in the G680V mutant of Dictyostelium myosin II

Gly 680 of Dictyostelium myosin II sits at a critical position within the reactive thiol helices. We have previously shown that G680V mutant subfragment 1 largely remains in strongly actin-bound states in the presence of ATP. We speculated that acto-G680V subfragment 1 complexes accumulate in the A.M.ADP.P(i) state on the basis of the biochemical phenotypes conferred by mutations which suppress the G680V mutation in vivo [Wu, Y., et al. (1999) Genetics 153, 107-116]. Here, we report further characterization of the interaction between actin and G680V subfragment 1. Light scattering data demonstrate that the majority of G680V subfragment 1 is bound to actin in the presence of ATP. These acto-G680V subfragment 1 complexes in the presence of ATP do not efficiently quench the fluorescence of pyrene-actin, unlike those in rigor complexes or in the presence of ADP alone. Kinetic analyses demonstrated that phosphate release, but not ATP hydrolysis or ADP release, is very slow and rate limiting in the acto-G680V subfragment 1 ATPase cycle. Single turnover kinetic analysis demonstrates that, during ATP hydrolysis by the acto-G680V subfragment 1 complex, quenching of pyrene fluorescence significantly lags the increase of light scattering. This is unlike the situation with wild-type subfragment 1, where the two signals have similar rate constants. These data support the hypothesis that the main intermediate during ATP hydrolysis by acto-G680V subfragment 1 is an acto-subfragment 1 complex carrying ADP and P(i), which scatters light but does not quench the pyrene fluorescence and so has a different conformation from the rigor complex.     

Mutation of a conserved glycine in the SH1-SH2 helix affects the load-dependent kinetics of myosin

The ATP hydrolysis rate and shortening velocity of muscle are load-dependent. At the molecular level, myosin generates force and motion by coupling ATP hydrolysis to lever arm rotation. When a laser trap was used to apply load to single heads of expressed smooth muscle myosin (S1), the ADP release kinetics accelerated with an assistive load and slowed with a resistive load; however, ATP binding was mostly unaffected. To investigate how load is communicated within the motor, a glycine located at the putative fulcrum of the lever arm was mutated to valine (G709V). In the absence of load, stopped-flow and laser trap studies showed that the mutation significantly slowed the rates of ADP release and ATP binding, accounting for the ~270-fold decrease in actin sliding velocity. The load dependence of the mutant's ADP release rate was the same as that of wild-type S1 (WT) despite the slower rate. In contrast, load accelerated ATP binding by ~20-fold, irrespective of loading direction. Imparting mechanical energy to the mutant motor partially reversed the slowed ATP binding by overcoming the elevated activation energy barrier. These results imply that conformational changes near the conserved G709 are critical for the transmission of mechanochemical information between myosin's active site and lever arm.     

Magnesium regulates ADP dissociation from myosin V

Processivity in myosin V is mediated through the mechanical strain that results when both heads bind strongly to an actin filament, and this strain regulates the timing of ADP release. However, what is not known is which steps that lead to ADP release are affected by this mechanical strain. Answering this question will require determining which of the several potential pathways myosin V takes in the process of ADP release and how actin influences the kinetics of these pathways. We have addressed this issue by examining how magnesium regulates the kinetics of ADP release from myosin V and actomyosin V. Our data support a model in which actin accelerates the release of ADP from myosin V by reducing the magnesium affinity of a myosin V-MgADP intermediate. This is likely a consequence of the structural changes that actin induces in myosin to release phosphate. This effect on magnesium affinity provides a plausible explanation for how mechanical strain can alter this actin-induced acceleration. For actomyosin V, magnesium release follows phosphate release and precedes ADP release. Increasing magnesium concentration to within the physiological range would thus slow both the ATPase activity and the velocity of movement of this motor.     

Effect of low pH on single skeletal muscle myosin mechanics and kinetics

Acidosis (low pH) is the oldest putative agent of muscular fatigue, but the molecular mechanism underlying its depressive effect on muscular performance remains unresolved. Therefore, the effect of low pH on the molecular mechanics and kinetics of chicken skeletal muscle myosin was studied using in vitro motility (IVM) and single molecule laser trap assays. Decreasing pH from 7.4 to 6.4 at saturating ATP slowed actin filament velocity (V(actin)) in the IVM by 36%. Single molecule experiments, at 1 microM ATP, decreased the average unitary step size of myosin (d) from 10 +/- 2 nm (pH 7.4) to 2 +/- 1 nm (pH 6.4). Individual binding events at low pH were consistent with the presence of a population of both productive (average d = 10 nm) and nonproductive (average d = 0 nm) actomyosin interactions. Raising the ATP concentration from 1 microM to 1 mM at pH 6.4 restored d (9 +/- 3 nm), suggesting that the lifetime of the nonproductive interactions is solely dependent on the [ATP]. V(actin), however, was not restored by raising the [ATP] (1-10 mM) in the IVM assay, suggesting that low pH also prolongs actin strong binding (t(on)). Measurement of t(on) as a function of the [ATP] in the single molecule assay suggested that acidosis prolongs t(on) by slowing the rate of ADP release. Thus, in a detachment limited model of motility (i.e., V(actin) approximately d/t(on)), a slowed rate of ADP release and the presence of nonproductive actomyosin interactions could account for the acidosis-induced decrease in V(actin), suggesting a molecular explanation for this component of muscular fatigue.     

A branched kinetic scheme describes the mechanochemical coupling of Myosin va processivity in response to substrate

Myosin Va is a double-headed cargo-carrying molecular motor that moves processively along cellular actin filaments. Long processive runs are achieved through mechanical coordination between the two heads of myosin Va, which keeps their ATPase cycles out of phase, preventing both heads detaching from actin simultaneously. The biochemical kinetics underlying processivity are still uncertain. Here we attempt to define the biochemical pathways populated by myosin Va by examining the velocity, processive run-length, and individual steps of a Qdot-labeled myosin Va in various substrate conditions (i.e., changes in ATP, ADP, and P(i)) under zero load in the single-molecule total internal reflection fluorescence microscopy assay. These data were used to globally constrain a branched kinetic scheme that was necessary to fit the dependences of velocity and run-length on substrate conditions. Based on this model, myosin Va can be biased along a given pathway by changes in substrate concentrations. This has uncovered states not normally sampled by the motor, and suggests that every transition involving substrate binding and release may be strain-dependent.     

Cardiomyopathy mutations impact the actin-activated power stroke of human cardiac myosin

Cardiac muscle contraction is driven by the molecular motor myosin, which uses the energy from ATP hydrolysis to generate a power stroke when interacting with actin filaments, although it is unclear how this mechanism is impaired by mutations in myosin that can lead to heart failure. We have applied a fluorescence resonance energy transfer (FRET) strategy to investigate structural changes in the lever arm domain of human β-cardiac myosin subfragment 1 (M2β-S1). We exchanged the human ventricular regulatory light chain labeled at a single cysteine (V105C) with Alexa 488 onto M2β-S1, which served as a donor for Cy3ATP bound to the active site. We monitored the FRET signal during the actin-activated product release steps using transient kinetic measurements. We propose that the fast phase measured with our FRET probes represents the macroscopic rate constant associated with actin-activated rotation of the lever arm during the power stroke in M2β-S1. Our results demonstrated M2β-S1 has a slower actin-activated power stroke compared with fast skeletal muscle myosin and myosin V. Measurements at different temperatures comparing the rate constants of the actin-activated power stroke and phosphate release are consistent with a model in which the power stroke occurs before phosphate release and the two steps are tightly coupled. We suggest that the actin-activated power stroke is highly reversible but followed by a highly irreversible phosphate release step in the absence of load and free phosphate. We demonstrated that hypertrophic cardiomyopathy (R723G)- and dilated cardiomyopathy (F764L)-associated mutations both reduced actin activation of the power stroke in M2β-S1. We also demonstrate that both mutations alter in vitro actin gliding in the presence and absence of load. Thus, examining the structural kinetics of the power stroke in M2β-S1 has revealed critical mutation-associated defects in the myosin ATPase pathway, suggesting these measurements will be extremely important for establishing structure-based mechanisms of contractile dysfunction.     

Functional role of loop 2 in myosin V

Myosin V is molecular motor that is capable of moving processively along actin filaments. The kinetics of monomeric myosin V containing a single IQ domain (MV 1IQ) differ from nonprocessive myosin II in that actin affinity is higher, phosphate release is extremely rapid, and ADP release is rate-limiting. We generated two mutants of myosin V by altering loop 2, a surface loop in the actin-binding region thought to alter actin affinity and phosphate release in myosin II, to determine the role that this loop plays in the kinetic tuning of myosin V. The loop 2 mutants altered the apparent affinity for actin (K(ATPase)) without altering the maximum ATPase rate (V(MAX)). Transient kinetic analysis determined that the rate of binding to actin, as well as the affinity for actin, was dependent on the net positive charge of loop 2, while other steps in the ATPase cycle were unchanged. The maximum rate of phosphate release was unchanged, but the affinity for actin in the M.ADP.Pi-state was dramatically altered by the mutations in loop 2. Thus, loop 2 is important for allowing myosin V to bind to actin with a relatively high affinity in the weak binding states but does not play a direct role in the product release steps. The ability to maintain a high affinity for actin in the weak binding states may prevent diffusion away from the actin filament and increase the degree of processive motion of myosin V.     

The structural basis of myosin V processive movement as revealed by electron cryomicroscopy

The processive motor myosin V has a relatively high affinity for actin in the presence of ATP and, thus, offers the unique opportunity to visualize some of the weaker, hitherto inaccessible, actin bound states of the ATPase cycle. Here, electron cryomicroscopy together with computer-based docking of crystal structures into three-dimensional (3D) reconstructions provide the atomic models of myosin V in both weak and strong actin bound states. One structure shows that ATP binding opens the long cleft dividing the actin binding region of the motor domain, thus destroying the strong binding actomyosin interface while rearranging loop 2 as a tether. Nucleotide analogs showed a second new state in which the lever arm points upward, in a prepower-stroke configuration (lever arm up) bound to actin before phosphate release. Our findings reveal how the structural elements of myosin V work together to allow myosin V to step along actin for multiple ATPase cycles without dissociating.     

Actin and light chain isoform dependence of myosin V kinetics

Recent studies on myosin V report a number of kinetic differences that may be attributed to the different heavy chain (chicken vs mouse) and light chain (essential light chains vs calmodulin) isoforms used. Understanding the extent to which individual light chain isoforms contribute to the kinetic behavior of myosin V is of critical importance, since it is unclear which light chains are bound to myosin V in cells. In addition, all studies to date have used alpha-skeletal muscle actin, whereas myosin V is in nonmuscle cells expressing beta- and gamma-actin. Therefore, we characterized the actin and light chain dependence of single-headed myosin V kinetics. The maximum actin-activated steady-state ATPase rate (V(max)) of a myosin V construct consisting of the motor domain and first light chain binding domain is the same when either of two essential light chain isoforms or calmodulin is bound. However, with bound calmodulin, the K(ATPase) is significantly higher and there is a reduction in the rate and equilibrium constants for ATP hydrolysis, indicating that the essential light chain favors formation of the M. ADP.P(i) state. No kinetic parameters of myosin V are strongly influenced by the actin isoform. ADP release from the actin-myosin complex is the rate-limiting step in the ATPase cycle with all actin and light chain isoforms. We postulate that although there are significant light-chain-dependent alterations in the kinetics that could affect myosin V processivity in in vitro assays, these differences likely are minimized under physiological conditions.     

Dictyostelium myosin II G680V suppressors exhibit overlapping spectra of biochemical phenotypes including facilitated phosphate release.

We have biochemically characterized 13 intragenic suppressors of the G680V mutation of Dictyostelium myosin II. In the absence of the G680V mutation, the suppressors result in a number of deviant behaviors, most commonly an increase in the basal (actin-independent) ATPase of the motor. This phenotype is complementary to that of the G680V mutant and supports our proposal that the latter impairs phosphate release. Different subsets of the mutants also suffer from poor ATPase enhancement by 1 mg/ml actin, failure to release from actin in the presence of ATPgammaS (or ADP and salt), and excessive release from actin in the presence of ADP. The patterns of suppressor behaviors suggest that, in general, they are facilitating P(i)-releasing state(s) of the motor, but that different individual suppressors may secondarily perturb other states or actions of the motor.     

The rate-limiting step in the actomyosin adenosinetriphosphatase cycle

We have previously shown that myosin does not have to detach from actin during each cycle of ATP hydrolysis. In the present study, using the A-1 isoenzyme of myosin subfragment 1, we have investigated the nature of the rate-limiting steps in the ATPase cycle. Our results show that, at 15 degrees C, at very low ionic strength, KATPase determined from the double-reciprocal plot of ATPase activity vs. actin concentration is more than 6-fold stronger than KBINDING determined by directly measuring the binding of A-1 myosin subfragment 1 to actin during steady-state ATP hydrolysis. Computer modeling shows that this large difference between KATPase and KBINDING is not compatible with Pi release being the rate-limiting step in the ATPase cycle. If Pi release is not rate limiting, it is possible that the ATP hydrolysis step, itself, is rate limiting. However, this predicts that, at high actin concentration, the value of the initial Pi burst should be close to zero. Therefore, we measured the magnitude of the initial Pi burst in the presence of actin, using both direct measurement and measurement of relative fluorescence magnitude. Our results suggest that the magnitude of the initial Pi burst in the presence of actin is considerably higher than would be expected if the ATP hydrolysis step were the rate-limiting step in the ATPase cycle.(ABSTRACT TRUNCATED AT 250 WORDS)