Is a four-state model sufficient to describe actomyosin ATPase?

Why choose myofibrils to study muscle myosin ATPase?

Our objective is to propose an overview of the usefulness of skeletal myofibril as an experimental system for studying mechanochemical coupling of skeletal muscles and myosin ATPase activity. The myofibril is a true functional mini-muscle that is able to contract in the presence of ATP. It also contains the machinery necessary for the calcium sensitivity of the contraction. In the absence of calcium, myofibrillar ATPase activity is basal, no shortening occurs and no active force is developed. In the presence of calcium, myofibrillar ATPase is activated and myofibrils either shorten with no external load (native myofibrils) or contract isometrically (cross-linked myofibrils). With this organised system, both chemical and mechanical studies can be carried out. For a decade, our laboratory has been using rabbit psoas myofibrils for exploring myosin ATPase activity. The first challenge was to successfully apply rapid kinetic approaches, such as rapid-flow-quench, to this organised system. Another challenge was to work with myofibrils in cryoenzymic conditions, i.e. in the presence of organic solvents and at sub-zero temperatures. In this overview, we highlight differences between the myosin ATPase in organised systems (myofibrils or fibres) and that of contractile proteins in solution (S1 or actoS1) that we observed using these approaches. We discuss the importance of these differences in terms of mechanochemical coupling. It is concluded that great care should be taken when extrapolating mechanochemical properties of the contractile proteins in solution to the whole muscle.

Kinetics of the initial steps of rabbit psoas myofibrillar ATPases studied by tryptophan and pyrene fluorescence stopped-flow and rapid flow-quench. Evidence that cross-bridge detachment is slower than ATP binding

The kinetics of the tryptophan fluorescence enhancement that occurs when myofibrils (rabbit psoas) are mixed with Mg-ATP were studied by stopped-flow in different solvents (water, 40% ethylene glycol, 20% methanol) at 4 degrees C. Under relaxing conditions (low Ca(2+)) in water (mu = 0.16 M, pH 7.4) and at high ATP concentrations, the transient was biphasic, giving a k(fast)(max) of 230 s(-)(1) and a k(slow)(max) of 15 s(-)(1). The kinetics of the two phases were compared with those obtained by chemical sampling using [gamma-(32)P]ATP and quenching in acid (P(i) burst experiments: these give unambiguously the ATP cleavage kinetics), or cold Mg-ATP (cold ATP chase: ATP binding kinetics). k(slow) is due to ATP cleavage, as with S1. Interestingly, k(fast) is slower than the ATP binding kinetics. Instead, this constant appears to report ATP-induced cross-bridge detachment from actin because (1) it was identical to the fluorescence transient obtained on addition of ATP to pyrene-labeled myofibrils; (2) when the initial filament overlap in the myofibrils was decreased, the amplitude of the fast phase decreased; (3) there was no fluorescent enhancement upon the addition of ADP to myofibrils. This is different from the situation with S1 or actoS1 where there was also a fast fluorescent ATP-induced transient but whose kinetics were identical to those of the tight ATP binding. To increase the time resolution and to confirm our results, we also carried out transient kinetics in ethylene glycol and methanol. We interpret our results by a scheme in which a rapid equilibrium between attached (AM.ATP) and detached (M.ATP) states is modulated by the fraction of myosin heads in rigor (AM) during the time of experiment.

Cooperativity between the two heads of rabbit skeletal muscle heavy meromyosin in binding to actin

An extensive series of experiments in this laboratory has shown that the binding of actin to rabbit skeletal muscle myosin subfragment-1 (a single-headed subfragment) can be described by a two-step model, with formation of a weakly bound complex, the A-state, followed by an isomerization to a more tightly bound complex, the R-state. In this paper, we report on additional experiments comparing the subfragment-1 with heavy meromyosin (a two-headed subfragment). Using a modeling approach, we have quantitated the two-step binding for each of the two heads. This indicates that the binding is cooperative and leads to a more complex view of the acto-myosin interaction than has previously been acknowledged. Implications for the dynamic behavior of the two heads during muscle contraction are discussed.

Time resolved measurements show that phosphate release is the rate limiting step on myofibrillar ATPases

The myofibril is a good model to study the ATPase of the muscle fibre. When myofibrillar ATPase reaction mixtures are quenched in acid, there is a burst of Pi formation, due to AM.ADP.Pi or Pi, as shown in the scheme: AM+ATP<-->A.M.ATP<-->AM.ADP.Pi<-->AM.ADP+Pi<-->AM+ADP. Therefore, in the steady state, either AM.ADP.Pi or AM.ADP or both predominate. To determine which, we studied the reaction using a Pi binding protein (from E. coli) labeled with a fluorophore such that it is specific and sensitive to free Pi [Brune, M. et al. (1994) Biochemistry 33, 8262-8271]. We show that the Pi bursts with myofibrillar ATPases (calcium-activated or not, or crosslinked) are due entirely to protein bound Pi. Thus, with myofibrillar ATPases the AM.ADP.Pi state predominates.

The "steric blocking model," the "six-state model," and the ATPase activity of regulated actomyosin

There has been a great deal of interest in the regulation of muscle contraction. Prior biochemical studies have demonstrated that the binding of regulated actin to S-1-ATP is unchanged at low Ca2+, even though the ATPase activity of regulated actomyosin is inhibited under these conditions. Prior structural studies using X-ray diffraction techniques have suggested that the tropomyosin-troponin complex may move and inhibit the actomyosin interaction at low Ca2+ (i.e., steric blocking). In physiologic fiber experiments, "weak" binding crossbridges have been found to bind to the actin filament at low Ca2+, especially at low ionic strength, and other experiments have suggested that Pi release is not directly regulated by calcium. In biochemical studies in the absence of ATP, inhibition of the binding of strong binding states have been reported in both equilibrium and transient kinetic studies. The current work suggests that all of these observations can be explained in terms of a six-state model in which regulation affects one particular actomyosin state that contains both strongly bound ADP and Pi. This further implies that regulation affects both a kinetic transition as well as a weak binding constant.

Correlation of ActoS1, myofibrillar, and muscle fiber ATPases

Our objective was to determine a good in vitro model for muscle fiber ATPase, and we compared the kinetics of Ca(2+)-activated myofibrils and cross-linked actoS1 in a buffer of physiological ionic strength. The myofibrils were cross-linked chemically to mimic the isometric condition of fibers or were un-cross-linked (the isotonic condition), and temperature perturbation was used to probe their ATPase mechanisms. At 4 degrees C, we have already shown that the kinetics of cross-linked actoS1 and myofibrils (cross-linked or not) are similar: there were large P(i) bursts and kcat values of about 1 s-1, close to that obtained with fibers [Herrmann, C., Sleep, J., Chaussepied, P., Travers, F. & Barman, T. (1993) Biochemistry 32, 7255-7263]. So, at 4 degrees C cross-linked actoS1 and myofibrils are equally good as models for fiber ATPase. At 20 degrees C, this similarity vanishes: progress curves with the myofibrils (cross-linked or not) had large P(i) bursts, but with cross-linked actoS1, bursts could not be discerned. This shows that at 20 degrees C the predominant steady-state intermediates are ATP complexes with actoS1 but are products complexes with the myofibrils, as with fibers [Ferenczi, M.A. (1986) Biophys. J. 50, 471-477]. Further, the kcat values were different: 15.5 s-1 with cross-linked actoS1, 8.3 s-1 for myofibrils, and 3.5 s-1 for cross-linked myofibrils. With fibers, kcat = 3.3 s-1. These results show that cross-linked myofibrillar ATPase is a good model for muscle fibers contracting isometrically.(ABSTRACT TRUNCATED AT 250 WORDS)

Early steps of the Mg(2+)-ATPase of relaxed myofibrils. A comparison with Ca(2+)-activated myofibrils and myosin subfragment 1

The early steps of the Mg(2+)-ATPase activity of relaxed rabbit psoas myofibrils were studied in a buffer of near-physiological ionic strength at 4 degrees C by the rapid flow quench technique. The initial ATP binding steps were studied by the ATP chase, and the cleavage and release of product steps by the Pi burst method. The data obtained were interpreted by [formula: see text] where M represents the myosin heads with or without actin interaction. This work is a continuation of our study on Ca(2+)-activated myofibrils [Houadjeto, M., Travers, F., & Barman, T. (1992) Biochemistry 31, 1564-1569]. Here the constants obtained with relaxed myofibrils were compared with those with activated myofibrils and myosin subfragment 1 (S1). We find that whereas Ca2+ increases 80X the release of products (k4), it has little effect upon the kinetics of the initial binding and cleavage steps. As with activated myofibrils and S1, the second-order binding constant for ATP (k2/K1) was about 1 microM-1 s-1 and the ATP was bound very tightly. With activated myofibrils, it was difficult to obtain an estimate for the koff for ATP(k-2) but it is much less than kcat. Here with relaxed myofibrils we estimate k-2 less than 8 x 10(-4) s-1, which is considerably smaller than kcat (0.019 s-1) and also previous estimates for this constant. The overall Kd for ATP to relaxed myofibrils is less than 8 x 10(-10) M. With S1 this Kd is about 10(-11) M.(ABSTRACT TRUNCATED AT 250 WORDS)

Ca(2+)-activated myofibrillar ATPase: transient kinetics and the titration of its active sites

The transient kinetics of rabbit psoas Ca(2+)-activated myofibrillar Mg(2+)-ATPase were studied in a buffer of near physiological ionic strength at 4 degrees C by the rapid flow quench technique. The initial ATP binding steps were studied by the ATP chase and the cleavage and release of products steps were studied by the Pi burst method. The data obtained were interpreted by the simple scheme [formula; see text] represents the myosin heads with or without actin interaction. The constants obtained with myofibrils (where the molecules are highly organized) were compared with those with myosin subfragment 1 (S1) and cross-linked acto-S1 (where the molecules are dispersed in solution). Myofibrils appear to bind ATP as tightly as do S1 and cross-linked acto-S1. This suggests that with them k-2 less than kcat much less than k2, and it is proposed that the ATP chase method can be used to titrate the ATPase sites in myofibrils. The results of titration and single-turnover experiments revealed that myofibrils may contain partially active myosin heads. It is proposed that these heads bind ATP loosely without hydrolysis, as found with S1 [Tesi, C., N. Bachouchi, N., Barman, T., & Travers, F. (1989) Biochimie 71, 363-372]. There were large Pi bursts with the three preparations, showing that with all of them the release of products step (k4) is rate limiting.(ABSTRACT TRUNCATED AT 250 WORDS)

Actin mediated regulation of muscle contraction

Striated and smooth muscles have different mechanisms of regulation of contraction which can be the basis for selective pharmacological alteration of the contractility of these muscle types. The progression in our understanding of the tropomyosin-troponin regulatory system of striated muscle from the early 1970s through the early 1990s is described along with key concepts required for understanding this complex system. This review also examines the recent history of the putative contractile regulatory proteins of smooth muscle, caldesmon and calponin. A contrast is made between the actin linked regulatory systems of striated and smooth muscle.

Cryoenzymic studies on actomyosin ATPase: kinetic evidence for communication between the actin and ATP sites on myosin

The post-ATP binding steps of myosin subfragment 1 (S1) and actomyosin subfragment 1 (actoS1) ATPases were studied at -15 degrees C with 40% ethylene glycol as antifreeze. The cleavage and release of Pi steps were studied by the rapid-flow quench method and the interaction of actin with S1 plus ATP by light scattering in a stopped-flow apparatus. At -15 degrees C, the interaction of actin with S1 remains tight, and the Km for the activation of S1 ATPase is very small (0.3 microM). The chemical data were interpreted by E + ATP----E*.ATP----E**.ADP.Pi----E*.ADP----products, where E is S1 or actoS1. In Pi burst experiments with S1, there was a large Pi burst of free Pi, but E**.ADP.Pi could not be detected. Here the predominant complex in the seconds time range is E*.ATP and in the steady-state E*.ADP. With actoS1, there was a small Pi burst of E**.ADP.Pi, evidence that the cleavage steps for S1 and actoS1 are different. From the stopped-flow experiments, the dissociation of actoS1 by ATP was complete, even at actin concentrations 60X its Km. Further, no interaction of actin with the key intermediate M*.ATP could be detected. Therefore, at -15 degrees C, actoS1 ATPase occurs by a dissociative pathway; in particular, the cleavage step appears to occur in the absence of actin.(ABSTRACT TRUNCATED AT 250 WORDS)

Kinetics of the actomyosin ATPase. Four or six states?

Tesi et al. [(1990) FEBS Lett. 260, 229-232] use a misinterpretation of the four-state controversy as a springboard to this paper. The authors give no data to characterize the proteins, making it impossible to compare the proteins with those from other laboratories. The analysis is flawed by the authors' failure to verify that the steady state rates obtained compare reasonably well with published rates. Although a four-state model may be a satisfactory approximation for certain limited purposes, it is not a sufficient basis for a complete analysis of the actomyosin system.