The reversibility of adenosine triphosphate cleavage by myosin

For the simplest kinetic model the reverse rate constants (k₋₁ and k₋₂) associated with ATP binding and cleavage on purified heavy meromyosin and heavy meromyosin subfragment 1 from rabbit skeletal muscle in the presence of 5mm-MgCl₂, 50mm-KCl and 20mm-Tris–HCl buffer at pH8.0 and 22°C are: k₋₁<0.02s⁻¹ and k₋₁=16s⁻¹. Apparently, higher values of k₋₁ and k₋₂ are found with less-purified protein preparations. The values of k₋₁ and k₋₂ satisfy conditions required by previous ¹⁸O-incorporation studies of H₂¹⁸O into the P_i moiety on ATP hydrolysis and suggest that the cleavage step does involve hydrolysis of ATP or formation of an adduct between ATP and water. The equilibrium constant for the cleavage step at the myosin active site is 9. If the cycle of events during muscle contraction is described by the model proposed by Lymn & Taylor (1971), the fact that there is only a small negative standard free-energy change for the cleavage step is advantageous for efficient chemical to mechanical energy exchange during muscle contraction.     

Mechanism of oxygen exchange in actin-activated hydrolysis of adenosine triphosphate by myosin subfragment 1.

The gamma-phosphoryl groups of two intermediates (M-ATP and M-ADP-P1) in the pathway of MgATP hydrolysis by myosin undergo extensive oxygen exchange with water. Actin activates the overall rate of hydrolysis at a rate-limiting step which follows these exchange reactions. Thus, actin, by decreasing the turnover time of hydrolysis, would be expected to proportionately decrease the time available for oxygen exchange. Using subfragment 1 of myosin, the turnover time of hydrolysis can be varied over a wide range by changing the concentration of actin. An estimate for the rate constant of exchange can then be obtained by relating these turnover times to measured values for oxygen exchange (incorporation of 18O from H218O into the inorganic phosphate (Pi) released by hydrolysis). The results of such an experiment, with turnover times between 0.2 and 25 s, indicate that, for each gamma-phosphoryl group, one oxygen from the medium is added rapidly (to cleave the phosphoryl group or form a pentacoordinate phosphroyl complex); two more oxygens exchange with a rate constant, kc, of about 1 s-1; and a fourth oxygen exchanges slowly with ke about 0.2 s-1. The higher value is about 18 times smaller than the rate constant, 5-3, for the reverse cleavage step of the myosin pathway, which is postulated to be responsible for oxygen exchange. The data, then, indicate that the rate-limiting step for oxygen exchange is not k-3, but may be the rate of rotation of oxygens around the phosphorus atom, with one oxygen severely restricted by its binding to the active site. The finding that kc differs for the four oxygens in each phosphate group is related to past observations on myosin-catalyzed oxygen exchange.     

The magnesium ion-dependent adenosine triphosphatase of myosin. Two-step processes of adenosine triphosphate association and adenosine diphosphate dissociation

The kinetics of protein-fluorescence change when rabbit skeletal myosin subfragment 1 is mixed with ATP or adenosine 5'-(3-thiotriphosphate) in the presence of Mg(2+) are incompatible with a simple bimolecular association process. A substrate-induced conformation change with DeltaG(0)<-24kJ.mol(-1) (i.e. DeltaG(0) could be more negative) at pH8 and 21 degrees C is proposed as the additional step in the binding of ATP. The postulated binding mechanism is M+ATPright harpoon over left harpoonM.ATPright harpoon over left harpoonM*.ATP, where the association constant for the first step, K(1), is 4.5x10(3)m(-1) at I 0.14m and the rate of isomerization is 400s(-1). In the presence of Mg(2+), ADP binds in a similar fashion to ATP, the rate of the conformation change also being 400s(-1), but with DeltaG(0) for that process being -14kJ.mol(-1). The effect of increasing ionic strength is to decrease K(1), the kinetics of the conformation change being essentially unaltered. Alternative schemes involving a two-step binding process for ATP to subfragment 1 are possible. These are not excluded by the experimental results, although they are perhaps less likely because they imply uncharacteristically slow bimolecular association rate constants.     

Transient phase of adenosine triphosphate hydrolysis by myosin, heavy meromyosin, and subfragment 1.

The transient phase of adenosine triphosphate (ATP) hydrolysis (early burst) was investigated for myosin, heavy meromyosin (HMM), and subfragment 1 (S-1) over a range of temperatures and pH's. The burst size at pH 8,20 degrees C, is 0.8-0.85, based on steady-state and transient measurements. The equilibrium constant for the enzyme-substrate to enzyme-product transition is 0.85 +/- 0.05. It is concluded that both myosin heads undergo the rapid hydrolysis step and that there are no significant differences for S-1 vs. HMM or myosin. The transient data are fitted reasonably well by a single rate process, but available evidence is consistent with some heterogeneity and a range of rate constants differing by a factor of two. At pH 6.9 and 3 degrees C, the burst size is 0.5 and the hydrolysis is slower than the configuration change measured by fluorescence. The results are consistent with the kinetic scheme (see article). The lower burst at low temperature and pH can be partly explained by a reduction in the equilibrium constant, K3, and ATP can be synthesized on the enzyme by a pH-temperature jump.     

Structural changes in synthetic myosin minifilaments and their dissociation by adenosine triphosphate and pyrophosphate

Morphologically similar short myosin and rod filaments (minifilaments) have been prepared in 10 mM Tris--citrate buffer, pH 8.0, in the absence of other myosin or rod forms. Both minifilament systems are dissociated in the same manner in the presence of ATP or pyrophosphate. Identical binding of these ligands to myosin and rod minifilaments suggests that myosin heads play no role in substrate-induced destabilization of the minifilaments. The effects of ATP and pyrophosphate on minifilaments are similar to their dissociating effect on synthetic filaments [Harrington, W. F., & Himmelfarb, S. (1972) Biochemistry 11, 2945--2952], thus justifying their use in conformational studies in lieu of filaments. In view of their small size and homogeneity, the minifilaments constitute an appropriate material for such studies. The binding of pyrophosphate to myosin and rod minifilaments decreases their alpha-helical content, as measured by circular dichroism. No change in the secondary structure of subfragment 1 and light meromyosin is observed upon binding of pyrophosphate, but substantial changes (10%) are detected in subfragment 2. The structural changes in myosin, possibly relevant to contraction, are localized in the subfragment 2 region of the molecule. These results emphasize the importance of charge interactions in the functional behavior of thick filaments.     

Substructure of the myosin molecule: IV. Interactions of myosin and its subfragments with adenosine triphosphate and F-actin

The enzymic activity of several single-headed subfragments of myosin (HMM S-1 and single-headed HMM) has been compared to the double-headed derivative of myosin (HMM) both in the presence and absence of aetin. Under the assay conditions of our experiments, we find that HMM hydrolyses ATP at approximately twice the rate of any single-headed species. These results suggest a relatively independent functional role for each of the two heads of the myosin molecule.An attempt has been made to determine the stoichiometry of association between subfragments and actin, either in the absence of nucleotide or during the hydrolysis of ATP. It was originally thought that a comparison of the maximum turnover rate of HMM at infinite concentrations of actin with the maximum rate at infinite concentrations of enzyme (but with a fixed amount of actin) would yield the combining ratio of actin to HMM. However, the considerable variation of ATP turnover rates with the conditions of the experiment has made it impossible to reach any firm conclusions regarding stoichiometry. A more direct approach to the question of stoichiometry is possible in the absence of ATP. By reacting varying amounts of F-actin with a given concentration of subfragment and centrifuging the resulting complex, it is possible to determine the unbound concentration of subfragment in the supernatant. These data provide sufficient information to construct a Scatchard plot and show that twice as many moles of actin are bound by HMM as by HMM S-1. Furthermore, the association constant of actin for HMM is several orders of magnitude higher than that for the single-headed species.In connection with the question of why myosin has two “heads”, we have examined the ability of single-headed molecules to undergo the phenomenon of “superprecipitation”. We find that single-headed myosin (the preparation of which was discussed in the preceding paper) is able to superprecipitate in much the same manner as native myosin.We conclude from these studies that each head of the myosin molecule is able to function in a relatively independent fashion. These studies do not, of course, exclude the possibility of more subtle interactions between the heads of myosin which our techniques are not able to detect.