Cooperativity in the motor activities of the ATP-fueled molecular motors

Kinesin, myosin and F1-ATPase are multi-domain molecular motors with multiple catalytic subunits. The motor mechanochemics are achieved via the conversion of ATP hydrolysis energy into forces and motions. We find that the catalysis of these molecular motors do not follow the simple Michaelis-Menten mechanism. The motor activities, such as the hydrolysis or processive rates, of kinesin, myosin and F1-ATPase have a complex ATP-dependent cooperativity. To understand this complexity in kinetics and mechanochemics, we develop a conformation correlation theory of cooperativity for the ATP-fueled motor proteins. The quantitative analysis and simulations indicate that cooperativity is induced by the conformational coupling of binding states of different subunits and prevails in the motor activities.     

Mechanical modulation of catalytic power on F1-ATPase

The conformational fluctuation of enzymes has a crucial role in reaction acceleration. However, the contribution to catalysis enhancement of individual substates with conformations far from the average conformation remains unclear. We studied the catalytic power of the rotary molecular motor F(1)-ATPase from thermophilic Bacillus PS3 as it was stalled in transient conformations far from a stable pausing angle. The rate constants of ATP binding and hydrolysis were determined as functions of the rotary angle. Both rates exponentially increase with rotation, revealing the molecular basis of positive cooperativity among three catalytic sites: elementary reaction steps are accelerated via the mechanical rotation driven by other reactions on neighboring catalytic sites. The rate enhancement induced by ATP binding upon rotation was greater than that brought about by hydrolysis, suggesting that the ATP binding step contributes more to torque generation than does the hydrolysis step. Additionally, 9% of the ATP-driven rotary step was supported by thermal diffusion, suggesting that acceleration of the ATP docking process occurs via thermally agitated conformational fluctuations.     

The defective proton-ATPase of uncD mutants of Escherichia coli. Two mutations which affect the catalytic mechanism

The catalytic characteristics of F1-ATPases from uncD412 and uncD484 mutant strains of Escherichia coli were studied in order to understand how these beta-subunit mutations cause defective catalysis. Both mutant enzymes showed reduced affinity for ATP at the first catalytic site. While uncD412 F1 was similar to normal in other aspects of single site catalysis, uncD484 F1 showed a Keq of bound reactants greatly biased toward bound substrate ATP and an abnormally fast rate of Pi release. Impairment of productive catalytic cooperativity was the major cause of the reduced steady state ("multisite") catalytic rate in both mutant enzymes. Addition of excess ATP to saturate second and/or third catalytic sites did promote ATP hydrolysis and product release at the first catalytic site of uncD412 F1, but the multisite turnover rate was significantly slower than normal. In contrast, with uncD484 F1, addition of excess ATP induced rapid release of ATP from the first catalytic site and so productive catalytic cooperativity was almost completely absent. The results show that both mutations affect properties of the catalytic site and catalytic site cooperativity and further that the relatively more severe uncD484 mutation affects a residue which acts as a determinant of the fate of bound substrate ATP during promotion of catalysis. Taken together with previous studies of uncA mutant F1-ATPases (Wise, J. G., Latchney, L. R., Ferguson, A. M., and Senior, A. E. (1984) Biochemistry 23, 1426-1432) the results indicate that catalytic site cooperativity in F1-ATPases involves concerted beta-alpha-beta intersubunit communication between catalytic sites on the beta-subunits.     

Complex cooperativity of ATP hydrolysis in the F(1)-ATPase molecular motor

F(1)-ATPase catalyses ATP hydrolysis and converts the cellular chemical energy into mechanical rotation. The hydrolysis reaction in F(1)-ATPase does not follow the widely believed Michaelis-Menten mechanism. Instead, the hydrolysis mechanism behaves in an ATP-dependent manner. We develop a model for enzyme kinetics and hydrolysis cooperativity of F(1)-ATPase which involves the binding-state changes to the coupling catalytic reactions. The quantitative analysis and modeling suggest the existence of complex cooperative hydrolysis between three different catalysis sites of F(1)-ATPase. This complexity may be taken into account to resolve the arguments on the binding change mechanism in F(1)-ATPase.     

The properties of hybrid F1-ATPase enzymes suggest that a cyclical catalytic mechanism involving three catalytic sites occurs

Maximal rates of ATP hydrolysis catalyzed by F1-ATPase enzymes are known to involve strong positive catalytic site cooperativity. There are three potential catalytic nucleotide-binding sites on F1. Two important and unanswered questions are (i) whether all three potential catalytic sites must interact cooperatively to yield maximal rates of ATP hydrolysis and (ii) whether a cyclical three-site mechanism operates as suggested by several authors. We have studied these two questions here by measuring the ATPase activities of hybrid enzymes containing normal beta-, gamma-, delta-, and epsilon-subunits together with different combinations of mutant and normal alpha-subunits. The mutant alpha-subunits were derived from uncA401, uncA447, and uncA453 mutant E. coli F1-ATPase, in which positive cooperativity between catalytic sites is strongly attenuated by defined mis-sense mutations. Our data show that three normal catalytic sites are required to interact in order to achieve maximal ATPase rates and suggest that a cyclical mechanism does operate. Hybrid enzyme containing one-third mutant alpha-subunit and two-thirds normal alpha-subunits had substantial but submaximal activity, showing that cooperativity between three sites in a noncyclical fashion, or between pairs of sites, can achieve effective catalysis.     

PcrA helicase, a prototype ATP-driven molecular motor

Despite extensive studies, the mechanisms underlying molecular motor function are still poorly understood. Key to the mechanisms is the coupling of ATP hydrolysis to conformational changes of the motor protein. To investigate this coupling, we have conducted combined quantum mechanical/molecular mechanical simulations of PcrA helicase, a strikingly simple motor that translocates unidirectionally along single-stranded DNA (ssDNA). Our results reveal a close similarity in catalytic site structure and reaction pathway to those of F1-ATPase, and these similarities include a proton relay mechanism important for efficient ATP hydrolysis and an "arginine finger" residue that is key to the coupling of the chemical reaction to protein conformational changes. By means of in silico mutation studies, we identified the residue Q254 as being crucial for the coupling of ssDNA translocation to the actual catalytic event. Based on the present result for PcrA helicase and previous findings for F1-ATPase, we propose a general mechanism of ATP-driven molecular motor function.     

Nanoseconds molecular dynamics simulation of primary mechanical energy transfer steps in F1-ATP synthase

The mitochondrial membrane protein FoF1-ATP synthase synthesizes adenosine triphosphate (ATP), the universal currency of energy in the cell. This process involves mechanochemical energy transfer from a rotating asymmetric gamma-'stalk' to the three active sites of the F1 unit, which drives the bound ATP out of the binding pocket. Here, the primary structural changes associated with this energy transfer in F1-ATP synthase were studied with multi-nanosecond molecular dynamics simulations. By forced rotation of the gamma-stalk that mimics the effect of proton motive Fo-rotation during ATP synthesis, a time-resolved atomic model for the structural changes in the F1 part in terms of propagating conformational motions is obtained. For these, different time scales are found, which allows the separation of nanosecond from microsecond conformational motions. In the simulations, rotation of the gamma-stalk lowers the ATP affinity of the betaTP binding pocket and triggers fast, spontaneous closure of the empty betaE subunit. The simulations explain several mutation studies and the reduced hydrolysis rate of gamma-depleted F1-ATPase.     

Chemomechanical coupling in F1-ATPase revealed by simultaneous observation of nucleotide kinetics and rotation

F(1)-ATPase is a rotary molecular motor in which unidirectional rotation of the central gamma subunit is powered by ATP hydrolysis in three catalytic sites arranged 120 degrees apart around gamma. To study how hydrolysis reactions produce mechanical rotation, we observed rotation under an optical microscope to see which of the three sites bound and released a fluorescent ATP analog. Assuming that the analog mimics authentic ATP, the following scheme emerges: (i) in the ATP-waiting state, one site, dictated by the orientation of gamma, is empty, whereas the other two bind a nucleotide; (ii) ATP binding to the empty site drives an approximately 80 degrees rotation of gamma; (iii) this triggers a reaction(s), hydrolysis and/or phosphate release, but not ADP release in the site that bound ATP one step earlier; (iv) completion of this reaction induces further approximately 40 degrees rotation.     

The concerted nature between three catalytic subunits driving the F1 rotary motor

F(1), a rotational molecular motor, shows strong cooperativity during ATP catalysis when driving the rotation of the central gamma subunit surrounded by the alpha(3)beta(3) subunits. To understand how the three catalytic beta subunits cooperate to drive rotation, we made a hybrid F(1) containing one or two mutant beta subunits with altered catalytic kinetics and observed its rotations. Analysis of the asymmetric stepwise rotations elucidated a concerted nature inside the F(1) complex where all three beta subunits participate to rotate the gamma subunit with a 120 degrees phase. In addition, observing hybrid F(1) rotations at various solution conditions, such as ADP, P(i) and the ATPase inhibitor 2,3-butanedione 2-monoxime (BDM) provides additional information for each elementary event. This novel experimental system, which combines single molecule observations and biochemical methods, enables us to dynamically visualize the catalytic coordination inside active enzymes and shed light on how biological machines provide unidirectional functions and rectify information from stochastic reactions.     

The Escherichia coli F1F0 ATP synthase displays biphasic synthesis kinetics

The F1F0 proton-translocating ATPase/synthase is the primary generator of ATP in most organisms growing aerobically. Kinetic assays of ATP synthesis have been conducted using enzymes from mitochondria and chloroplasts. However, limited data on ATP synthesis by the model Escherichia coli enzyme are available, mostly because of the lack of an efficient and reproducible assay. We have developed an optimized assay and have collected synthase kinetic data over a substrate concentration range of 2 orders of magnitude for both ADP and Pi from the synthase enzyme of E. coli. Negative and positive cooperativity of substrate binding and positive catalytic cooperativity were all observed. ATP synthesis displayed biphasic kinetics for ADP indicating that 1) the enzyme is capable of catalyzing efficient ATP synthesis when only two of three catalytic sites are occupied by ADP; and 2) occupation of the third site further activates the rate of catalysis.     

Promotion and inhibition of catalytic cooperativity of the Ca2+-dependent ATPase activity of spinach chloroplast coupling factor 1 (CF1)

ATP- and ITP-stimulation of the Ca2+-dependent hydrolysis of low concentrations of [gamma-32P]ATP was used as a direct demonstration of catalytic cooperativity in CF1. CF1 activated by epsilon-subunit removal or dithiothreitol, or by the presence of ethanol in the ATPase assay medium, shows pronounced catalytic cooperativity, with maximal stimulation of [gamma-32P]ATP hydrolysis at about 20 microM CaATP. Catalytic cooperativity is diminished by the presence of the epsilon-subunit or by pretreatment of either untreated or epsilon-depleted CF1 with azide (C1/2=30 microM). Both activated and untreated forms of CF1 also exhibit hydrolysis of CaATP by a high-affinity, low-capacity mode of turnover, which is unaffected by any of the preceding treatments and shows normal Michaelis-Menten behaviour. We propose that this high-affinity mode represents unisite catalysis, and that the endogenous inhibitor, epsilon, and the exogenous inhibitor, azide, both act exclusively on cooperative interactions between the catalytic sites.     

Escherichia coli ATP synthase alpha subunit Arg-376: the catalytic site arginine does not participate in the hydrolysis/synthesis reaction but is required for promotion to the steady state

The three catalytic sites of the F(O)F(1) ATP synthase interact through a cooperative mechanism that is required for the promotion of catalysis. Replacement of the conserved alpha subunit Arg-376 in the Escherichia coli F(1) catalytic site with Ala or Lys resulted in turnover rates of ATP hydrolysis that were 2 x 10(3)-fold lower than that of the wild type. Mutant enzymes catalyzed hydrolysis at a single site with kinetics similar to that of the wild type; however, addition of excess ATP did not chase bound ATP, ADP, or Pi from the catalytic site, indicating that binding of ATP to the second and third sites failed to promote release of products from the first site. Direct monitoring of nucleotide binding in the alphaR376A and alphaR376K mutant F(1) by a tryptophan in place of betaTyr-331 (Weber et al. (1993) J. Biol. Chem. 268, 20126-20133) showed that the catalytic sites of the mutant enzymes, like the wild type, have different affinities and therefore, are structurally asymmetric. These results indicate that alphaArg-376, which is close to the beta- or gamma-phosphate group of bound ADP or ATP, respectively, does not make a significant contribution to the catalytic reaction, but coordination of the arginine to nucleotide filling the low-affinity sites is essential for promotion of rotational catalysis to steady-state turnover.     

Evidence for catalytic cooperativity during ATP hydrolysis by beef heart F1-ATPase. Kinetics and binding studies with the photoaffinity label BzATP

The photoaffinity analog of ATP, 3'-O-(4-benzoyl) benzoyl ATP (BzATP), was used to covalently modify the catalytic sites on the beef heart mitochondrial F1-ATPase. In the absence of actinic illumination, BzATP was a slow substrate for the enzyme (Vmax = 0.19 mumol min-1 mg-1; kcat/Km = 2.2 X 10(6) M-1s-1) and behaved as a classical competitive inhibitor versus ATP (Ki = 0.85 microM). Under photolytic conditions, BzATP inactivated F1 with pseudo first-order kinetics, and the photoinactivation reaction showed rate saturation suggesting specific, reversible binding of BzATP to F1 prior to covalent bond formation. ATP protected against F1 photoinactivation (Kprotect = 0.3 microM) and partially covalently modified F1 yielded the same Km for ATP as unmodified enzyme. These results strongly suggested that BzATP was bound to catalytic sites on the enzyme. In the absence of photolysis, BzATP saturated two binding sites on the F1 (KD = 1.6 microM), and under photolytic conditions, 1 mol of BzATP was shown to be covalently liganded to the beta subunit of the enzyme coincident with 100% loss in ATPase activity. Previous studies with the mitochondrial F1-ATPase have suggested a mechanism involving catalytic cooperativity during ATP hydrolysis. Our demonstration of a molar stoichiometry of 1 for photoinactivation is in accord with this mechanism. It is suggested that either F1 is unable to hydrolyze covalently bound BzATP, or that subsequent to hydrolysis, the BzADP product can not be released from the catalytic site. It is therefore inferred that F1 hydrolytic activity requires cooperativity between multiple, viable catalytic sites and that covalent modification of a single catalytic site is sufficient for complete enzyme inactivation.     

Complete kinetic and thermodynamic characterization of the unisite catalytic pathway of Escherichia coli F1-ATPase. Comparison with mitochondrial F1-ATPase and application to the study of mutant enzymes

A complete analysis is presented of the component rate constants of the "unisite" reaction pathway in normal Escherichia coli F1-ATPase. Gibbs free energy profiles of the unisite reaction pathway were constructed for both normal E. coli F1 and bovine-heart mitochondrial F1, and comparison indicated that E. coli F1 is an ancestral form of the mitochondrial enzyme. Similar kinetic and thermodynamic analyses of the unisite reaction pathway were done for mutant beta-Asn-242 and beta-Val-242 E. coli F1-ATPases. Both mutations affected unisite binding and hydrolysis of MgATP but had little effect on release of products or binding of MgADP. It was apparent that a primary effect of the mutations was on the interaction between the catalytic nucleotide-binding domain and the substrate MgATP. The catalytic transition state [F1-ATP]++ was the most destabilized step in the reaction sequence. Measurements of delta delta G[F1.ATP]++ and linear free energy plots for the catalytic step were consistent with the view that, in normal enzyme, residue beta-Asp-242 accepts an H-bond from the transition-state substrate in order to facilitate catalysis. Both mutations impaired positive catalytic cooperativity. This was caused by energetic destabilization of the catalytic transition state and was an indirect effect, not a direct effect on signal transmission per se between catalytic nucleotide-binding domains on beta-subunits. Therefore, impairment of unisite catalysis and of positive catalytic cooperativity appeared to be linked. This may provide a unifying explanation as to why a series of other, widely separated mis-sense mutations within the catalytic nucleotide-binding domain on F1-beta-subunit, which have been reported to affect unisite catalysis, also impair positive catalytic cooperativity. Linear free energy plots for the ATP-binding step of unisite catalysis demonstrated that beta-Asn-242 and beta-Val-242 mutant enzymes did not suffer any gross disruptive change in structure of the catalytic nucleotide-binding domain, reinforcing the view that impairment of catalysis was due to a localized effect. Such analyses confirmed that six other F1-beta-subunit mutants, previously generated and characterized in this laboratory and thought to have inhibitory side-chain substitutions in the catalytic nucleotide-binding domain, are also devoid of gross structural disruption.     

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.     

Subunit interaction during catalysis. Alternating site cooperativity of mitochondrial adenosine triphosphatase.

ATP concentration modulates oxygen exchange catalyzed by purified, soluble mitochondrial ATPase during ATP hydrolysis so that water oxygen incorporation into each Pi formed increases markedly as ATP concentration is lowered. This behavior is readily explained by catalytic cooperativity between subunits of the ATPase. However, other reasonable explanations also need consideration. A new approach for assessing these various explanations is used, based on measurement of the [18O]Pi species formed by hydrolysis of ATP highly labeled with 18O in the gamma-phosphoryl group. The results and other supporting data give what appears to be the most compelling evidence yet attained for alternating site catalytic cooperativity in an enzymic catalysis.     

Uni-site catalysis by Escherichia coli F1-ATPase with different numbers of bound nucleotides

We prepared two types of E. coli F1 by slightly different gel filtration procedures of the purified F1: F1(II) contained about 2 mol, and F1(V) about 5 mol of bound adenine nucleotides per mol of the enzyme. Thus F1(II) had more than 2, possibly 3, vacant catalytic sites, while F1(V) had less than one vacant catalytic site. The rate of ATP hydrolysis in uni-site catalysis (in the presence of inorganic phosphate) was about 3-fold higher with F1(II) than with F1(V), suggesting that ADP and inorganic phosphate bound at the catalytic sites of F1(V) changed the kinetics of uni-site catalysis significantly.     

The use of 8-azido-ATP and 8-azido-ADP as photoaffinity labels of the ATP synthase in submitochondrial particles: evidence for a mechanism of ATP hydrolysis involving two independent catalytic sites?

8-Azido-ATP is a substrate for the ATP synthase in submitochondrial particles with a Vmax equal to 6% of the Vmax with ATP. The Km values for 8-azido-ATP are similar to those for ATP. ATP synthase in submitochondrial particles can bind maximally 2 mol 8-N-ATP or 8-N-ADP per mole and the inhibition of ATP hydrolysis by covalently bound N-ATP or N-ADP is proportional to the saturation of the enzyme with inhibitor, similar to the results obtained with isolated F1. Both 8-N-ATP and 8-N-ADP are bound mainly to the beta subunits and at all levels of saturation the distribution of the label is 77% to the beta and 23% to the alpha subunits. It is proposed that the binding of 8-azido-AXP itself is mainly to the beta subunit, but that part of the nitreno radicals formed during excitation with light reacts with an amino acid of the alpha subunit, due to the location of the binding site at an interface between a beta and an alpha subunit. Partial saturation with 8-N-ATP, under conditions that the concentration of 8-azido-ATP during the incubation is intermediate between the low and high Km values, does not abolish the apparent negative cooperativity of ATP hydrolysis. It is concluded that this apparent cooperativity is not due to the presence of two different catalytic sites, nor to a cooperativity between the two catalytic sites, but to interaction between the catalytic sites and regulatory sites.     

Insights into the chemomechanical coupling of the myosin motor from simulation of its ATP hydrolysis mechanism

The molecular motor myosin converts chemical energy from ATP hydrolysis into mechanical work, thus driving a variety of essential motility processes. Although myosin function has been studied extensively, the catalytic mechanism of ATP hydrolysis and its chemomechanical coupling to the motor cycle are not completely understood. Here, the catalysis mechanism in myosin II is examined using quantum mechanical/molecular mechanical reaction path calculations. The resulting reaction pathways, found in the catalytically competent closed/closed conformation of the Switch-1/Switch-2 loops of myosin, are all associative with a pentavalent bipyramidal oxyphosphorane transition state but can vary in the activation mechanism of the attacking water molecule and in the way the hydrogens are transferred between the heavy atoms. The coordination bond between the Mg2+ metal cofactor and Ser237 in the Switch-1 loop is broken in the product state, thereby facilitating the opening of the Switch-1 loop after hydrolysis is completed, which is required for subsequent strong rebinding to actin. This reveals a key element of the chemomechanical coupling that underlies the motor cycle, namely, the modulation of actin unbinding or binding in response to the ATP or ADP x P(i) state of nucleotide-bound myosin.