Stretch induced formation of ATP-32P in glycerinated fibres of insect flight muscle

Phosphate rebinding induces force reversal via slow backward cycling of cross-bridges

Objective

Previous studies on muscle fibers, myofibrils, and myosin revealed that the release of inorganic phosphate (Pi) and the force-generating step(s) are reversible, with cross-bridges also cycling backward through these steps by reversing force-generating steps and rebinding Pi. The aim was to explore the significance of force redevelopment kinetics (rate constant k TR) in cardiac myofibrils for the coupling between the Pi binding induced force reversal and the rate-limiting transition f - for backward cycling of cross-bridges from force-generating to non-force-generating states.

Methods

k TR and force generation of cardiac myofibrils from guinea pigs were investigated at 0.015-20 mM Pi. The observed force-[Pi], force-log [Pi], k TR-[Pi], and k TR-force relations were assessed with various single-pathway models of the cross-bridge cycle that differed in sequence and kinetics of reversible Pi release, reversible force-generating step and reversible rate-limiting transition. Based on the interpretation that k TR reflects the sum of rate-limiting transitions in the cross-bridge cycle, an indicator, the coupling strength, was defined to quantify the contribution of Pi binding induced force reversal to the rate-limiting transition f - from the [Pi]-modulated k TR-force relation.

Results

Increasing [Pi] decreased force by a bi-linear force-log [Pi] relation, increased k TR in a slightly downward curved dependence with [Pi], and altered k TR almost reciprocally to force reflected by the k TR-force relation. Force-[Pi] and force-log [Pi] relations provided less selectivity for the exclusion of models than the k TR-[Pi] and k TR-force relations. The k TR-force relation observed in experiments with cardiac myofibrils yielded the coupling strength +0.84 ± 0.08 close to 1, the maximum coupling strength expected for the reciprocal k TR-force relationship. Single pathway models consisting of fast reversible force generation before or after rapid reversible Pi release failed to describe the observed k TR-force relation. Single pathway models consistent with the observed k TR-force relation had either slow Pi binding or slow force reversal, i.e., in the consistent single pathway models, f - was assigned to the rate of either Pi binding or force reversal.

Conclusion

Backward flux of cross-bridges from force-generating to non-force-generating states is limited by the rates of Pi binding or force reversal ruling out other rate-limiting steps uncoupled from Pi binding induced force reversal.

Phosphate has dual roles in cross-bridge kinetics in rabbit psoas single myofibrils

In this study, we aimed to study the role of inorganic phosphate (P_i) in the production of oscillatory work and cross-bridge (CB) kinetics of striated muscle. We applied small-amplitude sinusoidal length oscillations to rabbit psoas single myofibrils and muscle fibers, and the resulting force responses were analyzed during maximal Ca²⁺ activation (pCa 4.65) at 15°C. Three exponential processes, A, B, and C, were identified from the tension transients, which were studied as functions of P_i concentration ([P_i]). In myofibrils, we found that process C, corresponding to phase 2 of step analysis during isometric contraction, is almost a perfect single exponential function compared with skinned fibers, which exhibit distributed rate constants, as described previously. The [P_i] dependence of the apparent rate constants 2πb and 2πc, and that of isometric tension, was studied to characterize the force generation and P_i release steps in the CB cycle, as well as the inhibitory effect of P_i. In contrast to skinned fibers, P_i does not accumulate in the core of myofibrils, allowing sinusoidal analysis to be performed nearly at [P_i] = 0. Process B disappeared as [P_i] approached 0 mM in myofibrils, indicating the significance of the role of P_i rebinding to CBs in the production of oscillatory work (process B). Our results also suggest that P_i competitively inhibits ATP binding to CBs, with an inhibitory dissociation constant of ∼2.6 mM. Finally, we found that the sinusoidal waveform of tension is mostly distorted by second harmonics and that this distortion is closely correlated with production of oscillatory work, indicating that the mechanism of generating force is intrinsically nonlinear. A nonlinear force generation mechanism suggests that the length-dependent intrinsic rate constant is asymmetric upon stretch and release and that there may be a ratchet mechanism involved in the CB cycle.

Invertebrate muscles: thin and thick filament structure; molecular basis of contraction and its regulation, catch and asynchronous muscle

This is the second in a series of canonical reviews on invertebrate muscle. We cover here thin and thick filament structure, the molecular basis of force generation and its regulation, and two special properties of some invertebrate muscle, catch and asynchronous muscle. Invertebrate thin filaments resemble vertebrate thin filaments, although helix structure and tropomyosin arrangement show small differences. Invertebrate thick filaments, alternatively, are very different from vertebrate striated thick filaments and show great variation within invertebrates. Part of this diversity stems from variation in paramyosin content, which is greatly increased in very large diameter invertebrate thick filaments. Other of it arises from relatively small changes in filament backbone structure, which results in filaments with grossly similar myosin head placements (rotating crowns of heads every 14.5 nm) but large changes in detail (distances between heads in azimuthal registration varying from three to thousands of crowns). The lever arm basis of force generation is common to both vertebrates and invertebrates, and in some invertebrates this process is understood on the near atomic level. Invertebrate actomyosin is both thin (tropomyosin:troponin) and thick (primarily via direct Ca(++) binding to myosin) filament regulated, and most invertebrate muscles are dually regulated. These mechanisms are well understood on the molecular level, but the behavioral utility of dual regulation is less so. The phosphorylation state of the thick filament associated giant protein, twitchin, has been recently shown to be the molecular basis of catch. The molecular basis of the stretch activation underlying asynchronous muscle activity, however, remains unresolved.

Force generation and phosphate release steps in skinned rabbit soleus slow-twitch muscle fibers

The force-generation and phosphate-release steps of the cross-bridge cycle in rabbit soleus slow-twitch muscle fibers (STF) were investigated using sinusoidal analysis, and the results were compared with those of rabbit psoas fast-twitch fibers (FTF). Single fiber preparations were activated at pCa 4.40 and ionic strength 180 mM at 20 degrees C. The effects of inorganic phosphate (Pi) concentrations on three exponential processes, B, C, and D, were studied. Results are consistent with the following cross-bridge scheme: [formula: see text] where A is actin, M is myosin, D is MgADP, and P is inorganic phosphate. The values determined are k4 = 5.7 +/- 0.5 s-1 (rate constant of isomerization step, N = 9, mean +/- SE), k-4 = 4.5 +/- 0.5 s-1 (rate constant of reverse isomerization), K4 = 1.37 +/- 0.13 (equilibrium constant of the isomerization), and K5 = 0.18 +/- 0.01 mM-1 (Pi association constant). The isomerization step (k4) in soleus STF is 20 times slower, and its reversal (k-4) is 20 times slower than psoas fibers. Consequently, the equilibrium constant of the isomerization step (K4) is the same in these two types of fibers. The Pi association constant (K5) is slightly higher in STF than in FTF, indicating that Pi binds to cross-bridges slightly more tightly in STF than FTF. By correlating the cross-bridge distribution with isometric tension, it was confirmed that force is generated during the isomerization (step 4) of the AMDP state and before Pi release in soleus STF.

Cross-bridge scheme and force per cross-bridge state in skinned rabbit psoas muscle fibers

The rate and association constants (kinetic constants) which comprise a seven state cross-bridge scheme were deduced by sinusoidal analysis in chemically skinned rabbit psoas muscle fibers at 20 degrees C, 200 mM ionic strength, and during maximal Ca2+ activation (pCa 4.54-4.82). The kinetic constants were then used to calculate the steady state probability of cross-bridges in each state as the function of MgATP, MgADP, and phosphate (Pi) concentrations. This calculation showed that 72% of available cross-bridges were (strongly) attached during our control activation (5 mM MgATP, 8 mM Pi), which agreed approximately with the stiffness ratio (active:rigor, 69 +/- 3%); active stiffness was measured during the control activation, and rigor stiffness after an induction of the rigor state. By assuming that isometric tension is a linear combination of probabilities of cross-bridges in each state, and by measuring tension as the function of MgATP, MgADP, and Pi concentrations, we deduced the force associated with each cross-bridge state. Data from the osmotic compression of muscle fibers by dextran T500 were used to deduce the force associated with one of the cross-bridge states. Our results show that force is highest in the AM*ADP.Pi state (A = actin, M = myosin). Since the state which leads into the AM*ADP.Pi state is the weakly attached AM.ADP.Pi state, we confirm that the force development occurs on Pi isomerization (AM.ADP.Pi --> AM*ADP.Pi). Our results also show that a minimal force change occurs with the release of Pi or MgADP, and that force declines gradually with ADP isomerization (AM*ADP -->AM.ADP), ATP isomerization (AM+ATP-->AM*ATP), and with cross-bridge detachment. Force of the AM state agreed well with force measured after induction of the rigor state, indicating that the AM state is a close approximation of the rigor state. The stiffness results obtained as functions of MgATP, MgADP, and Pi concentrations were generally consistent with the cross-bridge scheme.

Two step mechanism of phosphate release and the mechanism of force generation in chemically skinned fibers of rabbit psoas muscle

The elementary steps of contraction in rabbit fast twitch muscle fibers were investigated with particular emphasis on the mechanism of phosphate (Pi) binding/release, the mechanism of force generation, and the relation between them. We monitor the rate constant 2 pi b of a macroscopic exponential process (B) by imposing sinusoidal length oscillations. We find that the plot of 2 pi b vs. Pi concentration is curved. From this observation we infer that Pi released is a two step phenomenon: an isomerization followed by the actual Pi release. Our results fit well to the kinetic scheme: [formula: see text] where A = actin, M = myosin, S = MgATP (substrate), D = MgADP, P = phosphate, and Det is a composite of all the detached and weakly attached states. For our data to be consistent with this scheme, it is also necessary that step 4 (isomerization) is observed in process (B). By fitting this scheme to our data, we obtained the following kinetic constants: k4 = 56 s-1, k-4 = 129 s-1, and K5 = 0.069 mM-1, assuming that K2 = 4.9. Experiments were performed at pCa 4.82, pH 7.00, MgATP 5 mM, free ATP 5 mM, ionic strength 200 mM in K propionate medium, and at 20 degrees C. Based on these kinetic constants, we calculated the probability of each cross-bridge state as a function of Pi, and correlated this with the isometric tension. Our results indicate that all attached cross-bridges support equal amount of tension. From this, we infer that the force is generated at step 4. Detailed balance indicates that 50-65% of the free energy available from ATP hydrolysis is transformed to work at this step. For our data to be consistent with the above scheme, step 6 must be the slowest step of the cross-bridge cycle (the rate limiting step). Further, AM*D is a distinctly different state from the AMD state that is formed by adding D to the bathing solution. From our earlier ATP hydrolysis data, we estimated k6 to be 9 s-1.

Inorganic phosphate inhibits contractility and ATPase activity in skinned fibers from human myocardium

During hypoxic heart failure, inorganic phosphate (Pi) accumulates. We report the effects of Pi on force development and on myofibrillar ATPase-activity of human skinned atrial fibers, both at normal and at reduced levels of Mg-ATP. Pi (10 mM) depressed force production at maximal calcium activation (pCa 4.3) by about 40%. At higher pCa values (pCa 5.6), force inhibition was even more pronounced, but at low concentrations of Mg-ATP (10 microM), Pi was less effective. In contrast to contractile force, myofibrillar ATPase was only inhibited by about 10% at pCa 4.3, whereas it could be inhibited by 40-50% at submaximal calcium activation (pCa 5.6). As Pi inhibited contractile force more than ATPase activity, the ratio of ATPase-activity to force (tension cost) was increased by inorganic phosphate. ATPase-activity and tension cost were significantly reduced by lowering Mg-ATP concentration to 10 microM, whereas contractile force was less affected. Pi did not affect ATPase under these conditions at 10 mM Mg-ATP. Pi also shifted the calcium-force relationship towards higher Ca++ concentrations, that is, it decreased calcium sensitivity. In contrast, the calcium sensitivity of myofibrillar ATPase was less affected. These findings suggest that inorganic phosphate may affect the myocardium by altering crossbridge kinetics rather than the calcium affinity of troponin-C. Because of its inhibitory effect on myofibrillar ATPase, inorganic phosphate may be partly cardioprotective in the hypoxic myocardium. However, this "energy sparing' effect is probably offset by the greater "tension cost' that decreases the "efficiency' of tension maintenance in the presence of inorganic phosphate.

The effect of inorganic phosphate on the ATP hydrolysis rate and the tension transients in chemically skinned rabbit psoas fibers

The role of orthophosphate ions (Pi) in crossbridge kinetics was investigated by parallel measurements of the ATP hydrolysis rate and tension transients in maximally activated, chemically skinned rabbit psoas fibers. The hydrolysis rate of the standard activation at 20 degrees C was measured at 1.25 nmole X s-1 X m-1 X fiber-1, which corresponds to the hydrolysis of 3 moles ATP per mole of myosin head per second. The isometric tension, stiffness extrapolated to the infinite frequency, and the ATPase rate progressively decreased when increasing concentrations of Pi (0-16 mM) were added to the activating saline. The decrease was greatest with tension, followed by stiffness and the ATPase rate. Both the apparent rate constant and the magnitude parameters of exponential process (B) increased with Pi concentration resulting in a significant increase in the oscillatory power output. The effects of Pi on processes (A) and (C) were only marginal. When fibers were oscillated at 1 Hz [close to the characteristic frequency of process (A)], no significant increase in the ATP hydrolysis rate was observed. However, a small increase was noticed at 10 Hz [1%, process (B)], and at 100 Hz [6%, process (C)]. We interpret these results in terms of a crossbridge scheme which adds a branch pathway to the conventional hydrolysis cycle. In the proposed scheme, the number of crossbridges entering the branch pathway increases at higher Pi concentrations and in the presence of imposed oscillations at the proper frequency.

The role of orthophosphate in crossbridge kinetics in chemically skinned rabbit psoas fibres as detected with sinusoidal and step length alterations

The role of orthophosphate (Pi) ions in crossbridge kinetics was investigated in chemically skinned rabbit psoas fibres in the presence of saturating Ca2+. The muscle length was altered sinusoidally, and the resulting tension time courses were analysed in terms of three exponential processes (A), (B) and (C). Experiments were also performed with step length changes, and the resulting tension transients were correlated with the results of sinusoidal analysis. It was shown that addition of a low millimolar concentration of Pi increased both the rate constant and magnitude of process (B), which resulted in a dramatic increase in the oscillatory power output. The Pi effect was greater at higher oscillation amplitude and at higher MgATP concentration. At 5 mM MgATP, the amplitude effect became saturated at a 6 nm length change per crossbridge, whereas the Pi effect did not become saturated in the concentration range tested (0-16 mM). An introduction of MgADP to the activating saline resulted in a decrease of all rate constants, and these effects were opposite to MgATP. The effect of Pi resembled neither MgADP nor MgATP. Based on these observations, all the crossbridge reactions except for one (ADP desorption reaction) were eliminated as the possible site of action of Pi ions, supposing that Pi affects only one specific site in the crossbridge cycle. Other mechanisms, which might account for the Pi effects, are the presence of parallel hydrolysis pathways and the presence of multiple sites of action of the Pi ions.

Is the chemomechanical energy transformation reversible?

In glycerol-extracted insect fibrillar muscle suspended in ATP salt solution the incorporation of 32Pi into ATP was studied during the performance of positive or negative oscillatory work and under a variety of mechanical and ionic conditions. An increase in calcium ion concentration from 10(-8)--10(-5) M increased the incorporation rate in proportion to the increase in ATPase activity, mean tension and immediate stiffness, which is a measure of the extent of actin-myosin interaction. Sinusoidal stretches (at 1% Lo) performed at 5 Hz induced the fibres to perform optimal positive oscillatory work and it caused a doubling of the incorporation rate (ant ATPase activity). A decrease or increase of the frequency below or above the optimum of 5 Hz always decreased the power output as well as the incorporation rate which, however, was still noticeable even under conditions where work was done on the fibres. A similar frequency dependence was found when square-wave rather than sinusoidal stretches were applied and this effect could be related to the finding that the rate of stretch-induced incorporation was highest shortly after stretching and then declined to low values (after about 100 ms). These results suggest the formation of an energy-rich intermediate (actomyosin-ADP?) during the contraction process induced by stretching and this intermediate must be assumed to accumulate transiently after stretching.

(32P) phosphate incorporation into ATP during ATP hydrolysis and its dependence on the interaction of actin and myosin

The incorporation of 32Pi into ATP has been found to be catalyzed by myosin only when and if it interacts with actin. This exchange reaction is inhibited in natural but not in desensitized actomyosin after removing of trace Ca2+ with ethyleneglycol bis(2-aminoethyl)-N,N'-tetraacetic acid (EGTA). In desensitized as well as in synthetic actomyosin the exchange reaction can be fully inhibited by the addition of troponin I (0.5 mg troponin I/mg actomyosin results in a 50% inhibition) or after replacing the Mg activator by CaCl2. The exchange rate is about 1:500 of the ATPase rate in presence of 2 mM phosphate. These results suggest the existence of an 'energy-rich' actin -- myosin -- nucleoside-diphosphate intermediate during the cross-bridge cycle.

Intermediate complex of ATP hydrolysis and synthesis by muscle proteins

Myosin catalyzed exchange between 32Pi and ATP in reaction medium during its enzymatic hydrolysis of ATP only by a very small amount. Addition of actin increased to a great extent the rate of incorporation of 32Pi in the presence of Mg. Glycerinated smooth muscle fibers also exhibited the ability to exchange 32Pi and ATP upon the application of external force (repeated stretching and releasing). A schematic mechanism of the action of actin and external force on acceleration of 32Pi incorporation is proposed and the importance of the M-ADP complex for force generation is suggested.

Individual states in the cycle of muscle contraction

By using appropriate analogs of ATP, isometrically-held glycerol-extracted psoas fibers from rabbits are forced successively into states corresponding to molecular species in the contractile cycle. In each state measurements are made of P[unk], a fluorescence polarization parameter thought to relate to attitude of S-1 moieties of the myosin molecules. Also, the value of P[unk] is measured during active tension development. It is suggested that this value is a time-average of the P[unk] as S-1 moieties move through the various states of the cycle. Proposals are made concerning the sequence of states in the cycle.