Relaxation from rigor of skinned trabeculae of the guinea pig induced by laser photolysis of caged ATP.

The kinetics of ATP-induced rigor cross-bridge detachment were studied by initiating relaxation in chemically skinned trabeculae of the guinea pig heart using photolytic release of ATP in the absence of calcium ions (pCa > 8). The time course of the fall in tension exhibited either an initial plateau phase of variable duration with little change in tension or a rise in tension, followed by a decrease to relaxed levels. The in-phase component of tissue stiffness initially decreased. The rate then slowed near the end of the tension plateau, indicating transient cross-bridge rebinding, before falling to relaxed levels. Estimates of the apparent second-order rate constant for ATP-induced detachment of rigor cross-bridges based on the half-time for relaxation or on the half-time to the convergence of tension records to a common time course were similar at 3 x 10(3) M-1 s-1. Because the characteristics of the mechanical transients observed during relaxation from rigor were markedly similar to those reported from studies of rabbit psoas fibers in the presence of MgADP (Dantzig, J. A., M. G. Hibberd, D. R. Trentham, and Y. E. Goldman. 1991. Cross-bridge kinetics in the presence of MgADP investigated by photolysis of caged ATP in rabbit psoas muscle fibres. J. Physiol. 432:639-680), direct measurements of MgADP using [3H]ATP in cardiac tissue in rigor were made. Results indicated that during rigor, nearly 18% of the cross-bridges in skinned trabeculae had [3H]MgADP bound. Incubation of the tissue during rigor with apyrase, an enzyme with both ADPase and ATPase activity, reduced the level of [3H]MgADP to that measured following a 2-min chase in a solution containing 5 mM unlabeled MgATP. Apyrase incubation also significantly reduced the tension and stiffness transients, so that both time courses became monotonic and could be fit with a simple model for cross-bridge detachment. The apparent second-order rate constant for ATP-induced rigor cross-bridge detachment measured in the apyrase treated tissue at 4 x 10(4) M-1 s-1 was faster than that measured in untreated tissue. Nevertheless, this rate was still over an order of magnitude slower than the analogous rate measured in previous studies of isolated cardiac actomyosin-S1. These results are consistent with the hypothesis that the presence of MgADP bound cross-bridges suppresses the inhibition normally imposed by the thin filament regulatory system in the absence of calcium ions and allows cross-bridge rebinding and force production during relaxation from rigor.     

Phosphate burst in permeable muscle fibers of the rabbit.

The transient kinetics of ATP hydrolysis in chemically skinned psoas muscle fibers of the rabbit have been measured. Muscles fibers in the rigor state (absence of nucleotide) were relaxed rapidly by the photochemical release of [2-3H]ATP from caged-ATP (P3-1-(2-nitro)phenylethyl[2-3H]adenosine 5'-triphosphate) in the absence of calcium ions. Rapid freezing of the fiber to stop hydrolysis, followed by analysis of the tritiated nucleotide content allowed the course of the hydrolysis to be determined. The timecourse of ATP hydrolysis was biphasic, with an initial rapid phase occurring at a rate of approximately 60 s-1 at 12 degrees C for fibers exposed to greater than 0.7 mM ATP. The amplitude of the rapid phase was as previously reported (Ferenczi, M. A., E. Homsher, and D. R. Trentham, 1984, J. Physiol. (Lond.)., 352:575-599).     

Acetyl phosphate as a substrate for the calcium ATPase of sarcoplasmic reticulum

Acetyl phosphate is hydrolyzed by the calcium ATPase of leaky sarcoplasmic reticulum vesicles from rabbit skeletal muscle with Km = 6.5 mM and kcat = 7.9 s-1 in the presence of 100 microM calcium (180 mM K+, 5 mM MgSO4, pH 7.0, 25 degrees C). In the absence of calcium, hydrolysis is 6% of the calcium-dependent rate at low and 24% at saturating concentrations of acetyl phosphate. Values of K0.5 for calcium are 3.5 and 2.2 microM (n = 1.6) in the presence of 1 and 50 mM acetyl phosphate, respectively; inhibition by calcium follows K0.5 = 1.6 mM (n approximately 1.1) with 50 mM acetyl phosphate and K0.5 = 0.5 mM (n approximately 1.3) with 1.5 mM ATP. The calcium-dependent rate of phosphoenzyme formation from acetyl phosphate is consistent with Km = 43 mM and kf = 32 s-1 at saturation; decomposition of the phosphoenzyme occurs with kt = 16 s-1. The maximum fraction of phosphoenzyme formed in the steady state at saturating acetyl phosphate concentrations is 43-46%. These results are consistent with kc congruent to 30 s-1 for binding of Ca2+ to E at saturating [Ca2+], to give cE.Ca2, in the absence of activation by ATP. Phosphoenzyme formed from ATP and from acetyl phosphate shows the same biphasic reaction with ADP, rate constants for decomposition that are the same within experimental error, and similar or identical activation of decomposition by ATP. It is concluded that the reaction pathways for acetyl phosphate and ATP in the presence of Ca2+ are the same, with the exception of calcium binding and phosphorylation; an alternative, faster route that avoids the kc step is available in the presence of ATP. The existence of three different regions of dependence on ATP concentration for steady state turnover is confirmed; activation of hydrolysis at high ATP concentrations involves an ATP-induced increase in kt.     

The dependence of isometric tension, isometric ATPase activity, and shortening velocity of limulus muscle on the MgATP concentration.

The dependence of the isometric tension, the velocity of unloaded shortening, and the steady-state rate of MgATP hydrolysis on the MgATP concentration (range 0.01-5 mM MgATP) was studied in Ca-activated skinned Limulus muscle fibers. With increasing MgATP concentration the isometric tension increased to a peak at approximately 0.1 mM, and slightly decreased in the range up to 5 mM MgATP. The velocity of unloaded shortening depended on the MgATP concentration roughly according to the Michaelis-Menten law of saturation kinetics with a Michaelis-Menten constant Kv = 95 microM and a maximum shortening velocity of 0.07 muscle lengths s-1; the detachment rate of the cross-bridges during unloaded shortening was 24 s-1. The rate of MgATP splitting also depended hyperbolically on the MgATP concentration with a Michaelis-Menten constant Ka = 129 microM and a maximum turnover frequency of 0.5-1 s-1. The results are discussed in terms of a cross-bridge model based on a biochemical scheme of ATP hydrolysis by actin and myosin in solution.     

ATP consumption and efficiency of human single muscle fibers with different myosin isoform composition

Chemomechanical transduction was studied in single fibers isolated from human skeletal muscle containing different myosin isoforms. Permeabilized fibers were activated by laser-pulse photolytic release of 1.5 mM ATP from p(3)-1-(2-nitrophenyl)ethylester of ATP. The ATP hydrolysis rate in the muscle fibers was determined with a fluorescently labeled phosphate-binding protein. The effects of varying load and shortening velocity during contraction were investigated. The myosin isoform composition was determined in each fiber by sodium dodecyl sulfate-polyacrylamide gel electrophoresis. At 12 degrees C large variations (three- to fourfold) were found between slow and fast (2A and 2A-2B) fibers in their maximum shortening velocity, peak power output, velocity at which peak power is produced, isometric ATPase activity, and tension cost. Isometric tension was similar in all fiber groups. The ATP consumption rate increased during shortening in proportion to shortening velocity. At 12 degrees C the maximum efficiency was similar (0.21-0.27) for all fiber types and was reached at a higher speed of shortening for the faster fibers. In all fibers, peak efficiency increased to approximately 0.4 when the temperature was raised from 12 degrees C to 20 degrees C. The results were simulated with a kinetic scheme describing the ATPase cycle, in which the rate constant controlling ADP release is sensitive to the load on the muscle. The main difference between slow and fast fibers was reproduced by increasing the rate constant for the hydrolysis step, which was rate limiting at low loads. Simulation of the effect of increasing temperature required an increase in the force per cross-bridge and an acceleration of the rate constants in the reaction pathway.     

The effect of sarcomere length and stretching on the rate of ATP splitting in glycerinated rabbit psoas muscle fibers.

The effect of sarcomere length and stretching on the tension and the rate of ATP splitting was studied using small fiber bundles from glycerinated rabbit psoas muscle. The rate of ATP slitting was determined by measuring ADP production, while the tension development in response to a contracting solution (at pCa 5.3) was recorded in the same preparation. The isometric tension developed by the preparation decreased when the sarcomere length was increased. The decrease of tension development was accompanied by a decrease in the rate of ATP splitting. If a preparation exerting steady isometric tension was stretched by 5--10% at a velocity of 0.1 mm/s, the rate of ATP splitting was increased after stretching, while the steady isometric tension attained after stretching was also higher than the initial value. The extent of the excess ATP splitting caused by stretching decreased with increasing sarcomere length. These results suggest that the rate of the interaction cycle between actin and myosin molecules may increase as a result of stretching.     

Open-Loop Control of Oxidative Phosphorylation in Skeletal and Cardiac Muscle Mitochondria by Ca2+

In cardiac muscle, mitochondrial ATP synthesis is driven by demand for ATP through feedback from the products of ATP hydrolysis. However, in skeletal muscle at higher workloads there is an apparent contribution of open-loop stimulation of ATP synthesis. Open-loop control is defined as modulation of flux through a biochemical pathway by a moiety, which is not a reactant or a product of the biochemical reactions in the pathway. The role of calcium, which is known to stimulate the activity of mitochondrial dehydrogenases, as an open-loop controller, was investigated in isolated cardiac and skeletal muscle mitochondria. The kinetics of NADH synthesis and respiration, feedback from ATP hydrolysis products, and stimulation by calcium were characterized in isolated mitochondria to test the hypothesis that calcium has a stimulatory role in skeletal muscle mitochondria not apparent in cardiac mitochondria. A range of respiratory states were obtained in cardiac and skeletal muscle mitochondria utilizing physiologically relevant concentrations of pyruvate and malate, and flux of respiration, NAD(P)H fluorescence, and rhodamine 123 fluorescence were measured over a range of extra mitochondrial calcium concentrations. We found that under these conditions calcium stimulates NADH synthesis in skeletal muscle mitochondria but not in cardiac mitochondria.     

Strain-dependent cross-bridge cycle for muscle. II. Steady-state behavior.

Quantitative predictions of steady-state muscle properties from the strain-dependent cross-bridge for muscle are presented. With a stiffness of 5.4 x 10(-4) N/m per head, a throw distance of 11 nm, and three allowed actin sites/head, isometric properties and their dependence on phosphate and nucleotide levels are well described if the tension-generating step occurs before phosphate release. At very low ATP levels, rigorlike states with negative strain are predicted. The rate-limiting step for cycling and ATP consumption is strain-blocked ADP release for isometric and slowly shortening muscle. Under rapid shortening, ATP hydrolysis on detached heads is the rate-limiting step, and the ratio of bound ATP to bound ADP.Pi increases by a factor of 7. At large positive strains, bound heads must be forcibly detached from actin to account for tension in rapid extension, but forced detachment in shortening has no effect without destroying isometric attached states. Strain-blocked phosphate release as proposed produces modest inhibition of the ATPase rate under rapid shortening, sufficient to give a maximum for one actin site per helix turn. Alternative cross-bridge models are discussed in the light of these predictions.     

Mechanical transients of single toad stomach smooth muscle cells. Effects of lowering temperature and extracellular calcium

Smooth muscle's slow, economical contractions may relate to the kinetics of the crossbridge cycle. We characterized the crossbridge cycle in smooth muscle by studying tension recovery in response to a small, rapid length change (i.e., tension transients) in single smooth muscle cells from the toad stomach (Bufo marinus). To confirm that these tension transients reflect crossbridge kinetics, we examined the effect of lowering cell temperature on the tension transient time course. Once this was confirmed, cells were exposed to low extracellular calcium [( Ca2+]o) to determine whether modulation of the cell's shortening velocity by changes in [Ca2+]o reflected the calcium sensitivity of one or more steps in the crossbridge cycle. Single smooth muscle cells were tied between an ultrasensitive force transducer and length displacement device after equilibration in temperature-controlled physiological saline having either a low (0.18 mM) or normal (1.8 mM) calcium concentration. At the peak of isometric force, after electrical stimulation, small, rapid (less than or equal to 1.8% cell length in 3.6 ms) step stretches and releases were imposed. At room temperature (20 degrees C) in normal [Ca2+]o, tension recovery after the length step was described by the sum of two exponentials with rates of 40-90 s-1 for the fast phase and 2-4 s-1 for the slow phase. In normal [Ca2+]o but at low temperature (10 degrees C), the fast tension recovery phase slowed (apparent Q10 = 1.9) for both stretches and releases whereas the slow tension recovery phase for a release was only moderately affected (apparent Q10 = 1.4) while unaffected for a stretch. Dynamic stiffness was determined throughout the time course of the tension transient to help correlate the tension transient phases with specific step(s) in the crossbridge cycle. The dissociation of tension and stiffness, during the fast tension recovery phase after a release, was interpreted as evidence that this recovery phase resulted from both the transition of crossbridges from a low- to high-force producing state as well as a transient detachment of crossbridges. From the temperature studies and dynamic stiffness measurements, the slow tension recovery phase most likely reflects the overall rate of crossbridge cycling. From the tension transient studies, it appears that crossbridges cycle slower and have a longer duty cycle in smooth muscle. In low [Ca2+]o at 20 degrees C, little effect was observed on the form or time course of the tension transients.(ABSTRACT TRUNCATED AT 400 WORDS)     

Cross-bridge kinetics, cooperativity, and negatively strained cross- bridges in vertebrate smooth muscle. A laser-flash photolysis study

The effects of laser-flash photolytic release of ATP from caged ATP [P3-1(2-nitrophenyl)ethyladenosine-5'-triphosphate] on stiffness and tension transients were studied in permeabilized guinea pig protal vein smooth muscle. During rigor, induced by removing ATP from the relaxed or contracting muscles, stiffness was greater than in relaxed muscle, and electron microscopy showed cross-bridges attached to actin filaments at an approximately 45 degree angle. In the absence of Ca2+, liberation of ATP (0.1-1 mM) into muscles in rigor caused relaxation, with kinetics indicating cooperative reattachment of some cross-bridges. Inorganic phosphate (Pi; 20 mM) accelerated relaxation. A rapid phase of force development, accompanied by a decline in stiffness and unaffected by 20 mM Pi, was observed upon liberation of ATP in muscles that were released by 0.5-1.0% just before the laser pulse. This force increment observed upon detachment suggests that the cross-bridges can bear a negative tension. The second-order rate constant for detachment of rigor cross-bridges by ATP, in the absence of Ca2+, was estimated to be 0.1-2.5 X 10(5) M-1s-1, which indicates that this reaction is too fast to limit the rate of ATP hydrolysis during physiological contractions. In the presence of Ca2+, force development occurred at a rate (0.4 s-1) similar to that of intact, electrically stimulated tissue. The rate of force development was an order of magnitude faster in muscles that had been thiophosphorylated with ATP gamma S before the photochemical liberation of ATP, which indicates that under physiological conditions, in non-thiophosphorylated muscles, light-chain phosphorylation, rather than intrinsic properties of the actomyosin cross-bridges, limits the rate of force development. The release of micromolar ATP or CTP from caged ATP or caged CTP caused force development of up to 40% of maximal active tension in the absence of Ca2+, consistent with cooperative attachment of cross-bridges. Cooperative reattachment of dephosphorylated cross-bridges may contribute to force maintenance at low energy cost and low cross-bridge cycling rates in smooth muscle.     

Kinetics of tryptophan fluorescence enhancement in myofibrils during ATP hydrolysis

The mechanism of ATP hydrolysis in myofibrils can be studied by following the time course of tryptophan fluorescence. Stoichiometric quantities of ATP produce an enhancement of the tryptophan fluorescence in stirred suspensions of rabbit psoas myofibrils at pCa greater than 7. Approximately 1 mol of ATP/myosin head is required to obtain the maximum fluorescence enhancement of 4-6%. Upon the addition of quantities of ATP greater than 1 mol/mol of myosin head, the fluorescence rapidly increases to a steady state, which lasts for a period that is proportional to the amount of ATP added. The fluorescence then decays to the initial level with a half-time of approximately 40 s at 20 degrees C. Hydrolysis of [gamma-32P]ATP at pCa greater than 7 in myofibrils has an initial burst of approximately 0.7 mol/mol of myosin head that is followed by a constant rate of hydrolysis. The duration of the steady state hydrolysis is identical to the duration of the enhancement of tryptophan fluorescence. A lower limit of 5 X 10(5) M-1 S-1 was obtained for the second order rate constant of the fluorescence enhancement by ATP. At pCa of 4, the duration of the fluorescence enhancement is one-tenth to one-twentieth as long as at pCa greater than 7; this is consistent with the increased steady state rate of ATP hydrolysis at higher calcium concentrations. The time course of the fluorescence enhancement observed in myofibrils during ATP hydrolysis is qualitatively and quantitatively similar to that observed with actomyosin-S1 in solution. These results suggest that the kinetic mechanism of ATP hydrolysis that has been well established by studies of actomyosin-S1 in solution also occurs in myofibrils.     

The variation of isometric energy rates with muscle length: a distribution-moment model analysis.

The Distribution-Moment Model of skeletal muscle, which has been enhanced recently to make possible the calculation of chemical energy release (E) and heat production (H) rates [1], is applied to isometric muscle. Under steady-state isometric conditions the model predicts a simple relation between the energy rates and the muscle length, namely (E/Emax) = (H/Hmax) = [1 + B alpha(symbol see text)]/[1 + B], where (symbol see text) is the ratio of muscle length to the "optimal" length at which maximal isometric tension is produced, and alpha (symbol see text) is a function numerically equal to the ratio of the tetanic isometric force to its maximum value. The single dimensionless constant in this relation, B, can be calculated from model parameters characterizing muscle dynamics at the optimum length, and has a value near unity for frog sartorius at 0 degrees C. The predicted behavior is shown to agree reasonably well with experimental measurements of heat production and phosphocreatine (PCr) hydrolysis. The model relates the isometric energy rates to PCr hydrolysis in (1) cross-bridge interactions, and (2) calcium pumping into the sarcoplasmic reticulum.     

Activation of skinned trabeculae of the guinea pig induced by laser photolysis of caged ATP.

The kinetics of force production in chemically skinned trabeculae from the guinea pig were studied by laser photolysis of caged ATP in the presence of Ca2+. Preincubation of the tissue during rigor with the enzyme apyrase was used to reduce the population of MgADP-bound cross-bridges (Martin and Barsotti, 1994). In untreated tissue, tension remained constant or dipped slightly below the rigor level immediately after ATP release, before increasing to the maximum measured in pCa 4.5 and 5 mM MgATP. The in-phase component stiffness, which is a measure of cross-bridge attachment, exhibited a large decrease before increasing to 55% of that measured in rigor. Neither the rate of the decline nor of the rise in tension was sensitive to the concentration of photolytically released ATP. The rate of the decline in stiffness was found to be dependent on [ATP]: 1.8 x 10(4) M-1/s-1, a value more than four times higher than that previously measured in similar experiments in the absence of Ca2+. The rate of tension development averaged 14.9 +/- 2.5 s-1. Preincubation with apyrase altered the mechanical characteristics of the early phase of the contraction. The rate and amplitude of the initial drop in both tension and stiffness after caged ATP photolysis increased and became dependent on [ATP]. The second-order rate constants measured for the initial drop in tension and stiffness were 8.4 x 10(4) M-1 s-1 and 1.5 x 10(5) M-1 s-1. These rates are more than two times faster than those previously measured in the absence of Ca2+. The effects of apyrase incubation on the time course of tension and stiffness were consistent with the hypothesis that during rigor, skinned trabeculae retain a significant population of MgADP-bound cross-bridges. These in turn act to attenuate the initial drop in tension after caged ATP photolysis and slow the apparent rate of rigor cross-bridge detachment. The results also show that Ca2+ increases the rate of cross-bridge detachment in both untreated and apyrase-treated tissue, but the effect is larger in untreated tissue. This suggests that in cardiac muscle Ca2+ modulates the rate of cross-bridge detachment.     

Characterization of cross-bridge elasticity and kinetics of cross-bridge cycling during force development in single smooth muscle cells

Force development in smooth muscle, as in skeletal muscle, is believed to reflect recruitment of force-generating myosin cross-bridges. However, little is known about the events underlying cross-bridge recruitment as the muscle cell approaches peak isometric force and then enters a period of tension maintenance. In the present studies on single smooth muscle cells isolated from the toad (Bufo marinus) stomach muscularis, active muscle stiffness, calculated from the force response to small sinusoidal length changes (0.5% cell length, 250 Hz), was utilized to estimate the relative number of attached cross-bridges. By comparing stiffness during initial force development to stiffness during force redevelopment immediately after a quick release imposed at peak force, we propose that the instantaneous active stiffness of the cell reflects both a linearly elastic cross-bridge element having 1.5 times the compliance of the cross-bridge in frog skeletal muscle and a series elastic component having an exponential length-force relationship. At the onset of force development, the ratio of stiffness to force was 2.5 times greater than at peak isometric force. These data suggest that, upon activation, cross-bridges attach in at least two states (i.e., low-force-producing and high-force-producing) and redistribute to a steady state distribution at peak isometric force. The possibility that the cross-bridge cycling rate was modulated with time was also investigated by analyzing the time course of tension recovery to small, rapid step length changes (0.5% cell length in 2.5 ms) imposed during initial force development, at peak force, and after 15 s of tension maintenance. The rate of tension recovery slowed continuously throughout force development following activation and slowed further as force was maintained. Our results suggest that the kinetics of force production in smooth muscle may involve a redistribution of cross-bridge populations between two attached states and that the average cycling rate of these cross-bridges becomes slower with time during contraction.     

Zinc-induced alterations in contractile properties of rat diaphragm muscle in vitro

The effect of zinc ions on the isometric contraction of rat diaphragm muscles in the presence and in the absence of external calcium was studied. Using a transducer, the isometric force was measured as a function of supramaximal electrical stimulation, either directly or indirectly applied to the muscle. The following parameters were measured: peak twitch tension, PT, twitch contraction time, CT, relaxation half-time, RT-1/2, and peak rates of tension increase and decrease, +dP/dt and -dP/dt. The following zinc-induced alterations were observed: an increase of the PT; a decrease of the RT-1/2; an increase in the +dP/dt and -dP/dt. The CT was not changed significantly. Our results suggest that zinc ions have a positive inotropic effect on isolated diaphragm muscle. The increase in PT may be explained by a zinc-activated Ca²⁺ uptake by sarcoplasmic reticulum. This was followed by an increase in the rate of rise of tension development, which was secondary to increased -dP/dt. The mechanism(s) by which extracellular Ca²⁺ contributes to this action of zinc is not known.     

Nucleotide-free kinesin hydrolyzes ATP with burst kinetics

Bovine brain kinesin binds ADP tightly and contains a stoichiometric amount of ADP at its active site when isolated in the presence of free Mg2+ (Hackney, D. D. (1988) Proc. Natl. Acad. Sci. U.S.A. 85, 6314-6318). EDTA in excess of Mg2+ weakens ADP binding and nucleotide-free kinesin can be prepared by gel filtration with excess EDTA. On addition of ATP, this nucleotide-free enzyme catalyzes the rapid hydrolysis of a stoichiometric amount of ATP in a burst phase followed by much slower continued ATP hydrolysis limited by the release of ADP from the active site. This burst reaction is evident both by formation of [32P]Pi from [gamma-32P]ATP and by formation of [alpha-32P]ADP from [alpha-32P]ATP. At 1.1 nM kinesin active sites, the observed rate of the burst phase increases linearly with ATP over the 1-20 nM range yielding a bimolecular rate of net ATP binding and hydrolysis of 2.5 microM-1 s-1. The intercept at zero ATP is 0.008 s-1 which equals the ADP release rate at 0.008-0.009 s-1. This predicts a Km for ATP of approximately 3.5 nM and measurements of the dependence on ATP concentration of the steady state rate and amount of bound ADP are consistent with a Km of this magnitude.     

Rapid relaxation of single frog skeletal muscle fibres following laser flash photolysis of the caged calcium chelator, diazo-2

Diazo-2 is a calcium chelator based on BAPTA [(1989) J. Biol. Chem., in press], whose electron withdrawing diazoacetyl group may be rapidly (2000 s-1) converted photochemically to an electron donating carboxymethyl group by exposure to near ultraviolet light, producing an increase in its calcium affinity (Kd changes from 2.2 microM to 0.073 microM) without steric modification of the metal binding site. Photolysis of a 2 mM solution of this compound with a brief flash of light from a frequency-doubled ruby laser (347 nm) caused single skinned muscle fibres from the semitendinosus muscle of the frog Rana temporaria to relax with a mean half-time of 60.4 +/- 5 ms (range 30-100 ms, n = 15) at 12 degrees C, which is faster than the relaxation observed in intact muscles (half-time 133 ms at 14 degrees C [(1986) J. Mol. Biol. 188, 325-342]) and similar to the rate of the fast phase of tension decay in intact single fibres (20 s-1 at 10 degrees C [(1982) J. Physiol. 329, 1-20]).     

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.     

An ATP-linked structural change in protein kinase A precedes phosphoryl transfer under physiological magnesium concentrations

The kinetic mechanism for the catalytic subunit of protein kinase A was evaluated using physiological concentrations of free magnesium (0.5 mM) and a rapid quench flow technique. When the enzyme is pre-equilibrated with ATP, the peptide substrate, LRRASLG (Kemptide), is phosphorylated in a biphasic manner with a rapid, exponential "burst" phase (kb) followed by a slower, linear phase (kL) that corresponds to the steady-state kinetic rate. Both the amplitude and the substrate-rate dependence of the initial, burst phase indicate that the rate of phosphoryl transfer is fast (approximately 500 s-1) and does not limit turnover (45 s-1). Viscosity studies indicate that, while Kemptide is in rapid equilibrium, ATP does not exchange rapidly with the active site and kcat/KATP is limited by the rate constant for nucleotide encounter. When the pre-steady-state kinetic experiments are initiated with ATP, a lag phase is observed at low ATP concentrations consistent with rate-limiting association. At high ATP concentrations (>1 mM), a burst phase is observed but the rate and amplitude are low on the basis of the bimolecular rate constant for ATP association and the rate constant for phosphoryl transfer. The kinetic data indicate that the phosphoryl transfer step is fast at physiological magnesium concentrations, but an ATP-linked conformational change precedes this step, limiting the burst phase rate constant. Simulations of the pre-steady-state kinetic transients indicate that turnover (45 s-1) is limited both by net product release (70 s-1) and by this structural change (170 s-1). This structural change may also occur at high free magnesium concentrations, but it must be significantly faster than 170 s-1 and, consequently, not rate-limiting for turnover (kcat = 20 s-1 at 10 mM free Mg2+). We propose that this conformational event is an obligatory component of the kinetic pathway and includes a movement of the catalytic residues necessary for supporting phosphoryl group donation.     

Phosphorylation of the calcium-transporting adenosinetriphosphatase by lanthanum ATP: rapid phosphoryl transfer following a rate-limiting conformational change

The calcium-transport ATPase (CaATPase) of rabbit sarcoplasmic reticulum preincubated with 0.02 mM Ca2+ (cE.Ca2) is phosphorylated upon the addition of 0.25 mM LaCl3 and 0.3 mM [gamma-32P]ATP with an observed rate constant of 6.5 s-1 (40 mM MOPS, pH 7.0, 100 mM KCl, 25 degrees C). La.ATP binds to cE.Ca2 with a rate constant of 5 X 10(6) M-1 s-1, while ATP, Ca2+, and La3+ dissociate from cE.Ca2.La.ATP at less than or equal to 1 s-1. The reaction of ADP with phosphoenzyme (EP) formed from La.ATP is biphasic. An initial rapid loss of EP is followed by a slower first-order disappearance, which proceeds to an equilibrium mixture of EP.ADP and nonphosphorylated enzyme with bound ATP. The fraction of EP that reacts in the burst (alpha) and the first-order rate constant for the slow phase (kb) increase proportionally with increasing concentrations of ADP to give maximum values of 0.34 and 65 s-1, respectively, at saturating ADP (KADPS = 0.22 mM). The burst represents rapid phosphoryl transfer and demonstrates that ATP synthesis and hydrolysis on the enzyme are fast. The phosphorylation of cE.Ca2 by La.ATP at 6.5 s-1 and the kinetics for the reaction of EP with ADP are consistent with a rate-limiting conformational change in both directions. The conformational change converts cE.Ca2.La.ATP to the form of the enzyme that is activated for phosphoryl transfer, aE.Ca2.La.ATP, at 6.5 s-1; this is much slower than the analogous conformational change at 220 s-1 with Mg2+ as the catalytic ion [Petithory & Jencks (1986) Biochemistry 25, 4493]. The rate constant for the conversion of aE.Ca2.La.ATP to cE.Ca2.La.ATP is 170 s-1. ATP does not dissociate measurably from aE.Ca2.La.ATP. Labeled EP formed from cE.Ca2 and La.ATP with leaky vesicles undergoes hydrolysis at 0.06 s-1. It is concluded that the reaction mechanism of the CaATPase is remarkably similar with Mg.ATP and La.ATP; however, the strong binding of La.ATP slows both the conformational change that is rate limiting for EP formation and the dissociation of La.ATP. An interaction between La3+ at the catalytic site and the calcium transport sites decreases the rate of calcium dissociation by greater than 60-fold. When cE-Ca2 is mixed with 0.3 mM ATP and 1.0 mM Cacl2, the phosphoenzyme is formed with an observed rate constant of 3 s-1. The phosphoenzyme formed from Ca.ATP reacts with 2.0 mM ADP and labeled ATP with a rate constant of 30 s-1; there may be a small burst (alpha less than or equal to 0.05).