Binding of phosphate to F-ADP-actin and role of F-ADP-Pi-actin in ATP-actin polymerization

Our previous work (Carlier, M.-F., and Pantaloni, D. (1986) Biochemistry 25, 7789-7792) had shown that F-ADP-Pi-actin is a major intermediate in ATP-actin polymerization, due to the slow rate of Pi release following ATP cleavage on filaments. To understand the mechanism of ATP-actin polymerization, we have prepared F-ADP-Pi-actin and characterized its kinetic parameters. 32Pi binds to F-ADP-actin with a stoichiometry of 1 mol/mol of F-actin subunit and an equilibrium dissociation constant Kpi of 1.5 mM at pH 7.0 Kpi increases with pH, indicating that the H2PO-4 species binds to F-actin. ADP-Pi-actin subunits dissociate much more slowly from filament ends than ADP-actin subunits; therefore, the stability of filaments in ATP is due to terminal ADP-Pi subunits. The slow rate of dissociation of ADP-Pi-actin also explains the decrease in critical concentration of ADP-actin in the presence of Pi reported by Rickard and Sheterline (Richard, J. E., and Sheterline, P. (1986) J. Mol. Biol. 191, 273-280). The effect of Pi on the rate of actin dissociation from filaments is much more pronounced at the barbed end than at the pointed end. Using gelsolin to block the barbed end, we have shown that the two ends are energetically different in the presence of ATP and saturating Pi, but less different than in the absence of Pi. The results are interpreted within a new model for actin polymerization. It is possible that phosphate binding to F-actin can regulate motile events in muscle and nonmuscle cells.     

Rate of phosphate release after photoliberation of adenosine 5'-triphosphate in slow and fast skeletal muscle fibers.

Inorganic phosphate (Pi) release was determined by means of a fluorescent Pi-probe in single permeabilized rabbit soleus and psoas muscle fibers. Measurements of Pi release followed photoliberation of approximately 1.5 mM ATP by flash photolysis of NPE-caged ATP in the absence and presence of Ca2+ at 15 degrees C. In the absence of Ca2+, Pi release occurred with a slow rate of 11 +/- 3 microM . s-1 (n = 3) in soleus fibers and 23 +/- 1 microM . s-1 (n = 10) in psoas fibers. At saturating Ca2+ concentrations (pCa 4.5), photoliberation of ATP was followed by rapid force development. The initial rate of Pi release was 0.57 +/- 0.05 mM . s-1 in soleus (n = 13) and 4.7 +/- 0.2 mM . s-1 in psoas (n = 23), corresponding to a rate of Pi release per myosin head of 3.8 s-1 in soleus and 31.5 s-1 in psoas. Pi release declined at a rate of 0.48 s-1 in soleus and of 5.2 s-1 in psoas. Pi release in soleus was slightly faster in the presence of an ATP regenerating system but slower when 0.5 mM ADP was added. The reduction in the rate of Pi release results from an initial redistribution of cross-bridges over different states and a subsequent ADP-sensitive slowing of cross-bridge detachment.     

Preparation and polymerization of skeletal muscle ADP-actin

Skeletal muscle ADP-G-actin was prepared from ADP-F-actin, which had been freed of residual ATP by repeated sonication, by depolymerization in 5 mM Tris-HCl, 0.2 mM ADP, 0.2 mM dithiothreitol, 0.1 mM CaCl2, 0.1 mM MgCl2, and 0.01% NaN3, pH 8.0. The ADP had been freed of traces of ATP by DEAE-chromatography, and 5 microM diadenosine pentaphosphate was added to inhibit myokinase activity. The kinetics of the spontaneous polymerization of ADP-actin in 1 mM MgCl2 + 0.1 M KCl were compatible with the simple nucleation-elongation model previously used to explain the polymerization of ATP-actin. The critical concentrations of ADP-actin were 8.0 and 2.0 microM in 1 mM MgCl2 and 1 mM MgCl2 + 0.1 M KCl, respectively. These values are 20-30-fold higher than the corresponding values in ATP. Using cross-linked actin trimers to nucleate polymerization, the association rate constants were found to be 0.8 and 0.9 microM-1 S-1 in MgCl2 and MgCl2 + KCl, respectively, which are 0.4 and 0.2 times the values for ATP-actin. The dissociation rate constants, calculated from the critical concentrations and the association rate constants, were 6.4 and 1.8 S-1, respectively, which are 10 and 5 times the corresponding values for ATP-actin.     

Sarcoplasmic reticulum ATPase phosphorylation from inorganic phosphate in the absence of a calcium gradient. Steady state and kinetic fluorescence studies

The intrinsic fluorescence of sarcoplasmic reticulum vesicles was measured under conditions allowing ATPase phosphorylation from inorganic phosphate. Significant fluorescence enhancement of up to 4% resulted from gradient-independent enzyme phosphorylation at pH 6, in the absence of KCl. The equilibrium fluorescence data obtained at various magnesium and phosphate concentrations agree with a reaction scheme in which Mg2+, as direct activator, and free phosphate, as the true substrate, bind to the enzyme in random order to give a noncovalent ternary complex (Mg.*E.Pi), in equilibrium with the covalent phosphoenzyme (Mg.*E-P). The transient kinetics of the fluorescence rise was also studied, and the resulting data were generally consistent with the above scheme, assuming that binding reactions are fast compared to covalent phosphoenzyme formation. This, however, might be valid only as a first approximation. At 20 degrees C and pH 6, the phosphate concentration for half-maximum phosphorylation rate constant, at 20 mM magnesium, was higher than 20 mM. Similarly, the magnesium concentration for half-maximum phosphorylation rate constant, at 20 mM phosphate, was also higher than 20 mM. The maximum phosphorylation rate was faster than 25 s-1, and the phosphoenzyme hydrolysis rate constant was 1.5-2 s-1 under these conditions, so that the equilibrium constant between Mg.*E.Pi and Mg.*E-P largely favors the phosphoenzyme.     

Kinetics of ATP and inorganic phosphate release during hydrolysis of ATP by rabbit skeletal actomyosin subfragment 1. Oxygen exchange between water and ATP or phosphate

We have used the technique of phosphate: water oxygen exchange to measure the rate of ATP and Pi release and Pi binding to myosin subfragment 1 and actomyosin subfragment 1 from rabbit skeletal muscle. The oxygen exchange distributions for ATP and Pi release fit a simple kinetic model with a single set of rate constants for each step. For actomyosin subfragment 1 (20 degrees C, pH 7.0, I = 50 mM), the rate constant governing ATP release is approximately 8 s-1, Pi release is at approximately 60 s-1 and Pi rebinds to an ADP state at greater than 120 M-1 s-1. These rate constants are similar to those that may occur for undistorted cross-bridges within glycerinated rabbit psoas fibers (Bowater, R., Webb, M. R., and Ferenczi, M. A. (1989) J. Biol. Chem. 264, 7193-7201.     

Rate constants for the reactions of ATP- and ADP-actin with the ends of actin filaments

I measured the rate of elongation at the barbed and pointed ends of actin filaments by electron microscopy with Limulus sperm acrosomal processes as nuclei. With improvements in the mechanics of the assay, it was possible to measure growth rates from 0.05 to 280 s-1. At 22 degrees C in 1 mM MgCl2, 10 mM imidazole (pH 7), 0.2 mM ATP with 1 mM EGTA or 50 microM CaCl2 or with EGTA and 50 mM KCl, the elongation rates at both ends have a linear dependence on the ATP-actin concentration from the critical concentration to 20 microM. Consequently, over a wide range of subunit addition rates, the rate constants for association and dissociation of ATP-actin are constant. This shows that the nucleotide composition at or near the end of the growing filament is either the same over this range of growth rates or has no detectable effect on the rate constants. Under conditions where polymerization is fastest (MgCl2 + KCl + EGTA) the rate constants have these values: (table; see text) Compared with ATP-actin, ADP-actin associates slower at both ends, dissociates faster from the barbed end, but dissociates slower from the pointed end. Taking into account the events at both ends, these constants and a simple Oosawa-type model account for the complex three-phase dependence of the rate of polymerization in bulk samples on the concentration of ATP-actin monomers observed by Carlier, M.-F., D. Pantaloni, and E. D. Korn (1985, J. Biol. Chem., 260:6565-6571). These constants can also be used to predict the reactions at steady state in ATP. There will be slow subunit flux from the barbed end to the pointed end. There will also be minor fluctuations in length at the barbed end due to occasional rapid dissociation of strings of ADP subunits but the pointed end will be relatively stable.     

Rapid release of 45Ca from an occluded state of the Na,K-pump

45Ca is bound to the occluded state of the Na,K-pump, apparently at K+ sites. Only one 45Ca ion is bound in place of two K+ ions, with an affinity approximately 0.08 mM; K+ competes with an apparent affinity approximately 0.04 mM. 45Ca is released rapidly from Na,K-ATPase in the presence of ATP or ADP, presumably to the intracellular medium. The rate constant of 45Ca release with ATP is greater than 100 s-1 at 20 degrees C, more than twice as fast as the rate of release of 42K from the occluded state. Phosphorylation of Na,K-ATPase with MgPi, which would lead to release of occluded K+ or Rb+ to the extracellular face of the membrane, stabilizes occluded 45Ca. 45Ca release is slower immediately after exposure to MgPi than after a rinse in the absence of Pi indicating that in the former circumstance the rate of 45Ca release is limited by dephosphorylation; 45Ca release is even slower after exposure to Mg2+ arsenate, consistent with dearsenylation being slower than dephosphorylation. When limited by dephosphorylation, the rate of 45Ca release is dependent on the species of monovalent cation present, increasing in the order N-methylglucamine less than Cs+ less than Li+ less than Na+ less than Rb+ less than K+. When the 45Ca occluded state is exposed to K + Mg + Pi and then to Na+ + Mg2+ + ATP, the exposure to K+ is "remembered," indicating simultaneous occlusion of 45Ca and K+. The apparent affinity for K+ in formation of this state is 10-50 mM, and the rate of release of K+ is approximately 2 s-1. Ca2+ has effects on the release of 86Rb from the occluded state: With ATP, Ca2+ acts like Mg2+ by stimulating 86Rb release at low concentrations and inhibiting at high concentrations; with MgPi, Ca2+ inhibits 86Rb release, presumably by preventing phosphorylation. Thus, Ca2+ has two actions on the Na,K-pump as studied here: one as a Mg2+ congener, and another as a K+ congener at transport sites. In the latter role Ca2+ is unusual in that it appears to be able to bind to the transport sites from the intracellular face of the pump and to become occluded, but unable to be released from extracellular sites.     

Calcium release from intact calmodulin and calmodulin fragment 78-148 measured by stopped-flow fluorescence with 2-p-toluidinylnaphthalene sulfonate. Effect of calmodulin fragments on cardiac sarcoplasmic reticulum

Calcium release from high and low-affinity calcium-binding sites of intact bovine brain calmodulin (CaM) and from the tryptic fragment 78-148, purified by high-pressure liquid chromatography, containing only the high-affinity calcium-binding sites, was determined by fluorescence stopped-flow with 2-p-toluidinylnaphthalene sulfonate (TNS). The tryptic fragments 1-77 and 78-148 each contain a calcium-dependent TNS-binding site, as shown by the calcium-dependent increase in TNS fluorescence. The rate of the monophasic fluorescence decrease in endogenous tyrosine on calcium dissociation from intact calcium-saturated calmodulin (kobs 10.8 s-1 and 3.2 s-1 at 25 degrees C and 10 degrees C respectively) as well as the rate of equivalent slow phase of the biphasic decrease in TNS fluorescence (kobsslow 10.6 s-1 and 3.0 s-1 at 25 degrees C and 10 degrees C respectively) and the rate of the solely monophasic decrease in TNS fluorescence, obtained with fragment 78-148 (kobs 10.7 s-1 and 3.5 s-1 at 25 degrees C and 10 degrees C respectively), were identical, indicating that the rate of the conformational change associated with calcium release from the high-affinity calcium-binding sites on the C-terminal half of calmodulin is not influenced by the N-terminal half of the molecule. The fast phase of the biphasic decrease of TNS fluorescence, observed by the N-terminal half of the molecule. The fast phase of the biphasic decrease of TNS fluorescence, observed with intact calmodulin only (kobsfast 280 s-1 at 10 degrees C) but not with fragment 78-148, is most probably due to the conformational change associated with calcium release from low-affinity sites on the N-terminal half. The calmodulin fragments 1-77 and 78-148 neither activated calcium/calmodulin-dependent protein kinase of cardiac sarcoplasmic reticulum nor inhibited calmodulin-dependent activation at a concentration approximately 1000-fold greater (5 microM) than that of the calmodulin required for half-maximum activation (5.9 nM at 0.8 mM Ca2+ and 5 mM Mg2+) of calmodulin-dependent phosphoester formation.     

Kinetics of rapid Ca2+ release by sarcoplasmic reticulum. Effects of Ca2+, Mg2+, and adenine nucleotides

A radioisotope flux-rapid-quench-Millipore filtration method is described for determining the effects of Ca2+, adenine nucleotides, and Mg2+ on the Ca2+ release behaviour of "heavy" sarcoplasmic reticulum (SR) vesicles. Rapid 45Ca2+ efflux from passively loaded vesicles was blocked by the addition of Mg2+ and ruthenium red. At pH 7 and 10(-9) M Ca2+, vesicles released 45Ca2+ with a low rate (k = 0.1 s-1). An increase in external Ca2+ concentration to 4 microM or the addition of 5 mM ATP or the ATP analogue adenosine 5'-(beta,gamma-methylenetriphosphate) (AMP-PCP) resulted in intermediate 45Ca2+ release rates. The maximal release rate was observed in media containing 4 microM Ca2+ and 5 mM AMP-PCP and had a first-order rate constant of 30-100 s-1. Mg2+ partially inhibited Ca2+- and nucleotide-induced 45Ca2+ efflux. In the absence of AMP-PCP, 45Ca2+ release was fully inhibited at 5 mM Mg2+ or 5 mM Ca2+. The composition of the release media was systematically varied, and the flux data were expressed in the form of Hill equations. The apparent n values of activation of Ca2+ release by ATP and AMP-PCP were 1.6-1.9. The Hill coefficient of Ca2+ activation (n = 0.8-2.1) was dependent on nucleotide and Mg2+ concentrations, whereas the one of Mg2+ inhibition (n = 1.1-1.6) varied with external Ca2+ concentration. These results suggest that heavy SR vesicles contain a "Ca2+ release channel" which is capable of conducting Ca2+ at rates comparable with those found in intact muscle. Ca2+, AMP-PCP (ATP), and Mg2+ appear to act at noninteracting or interacting sites of the channel.     

Energy interconversion in sarcoplasmic reticulum vesicles in the presence of Ca2+ and Sr2+ gradients

Sarcoplasmic reticulum vesicles of rabbit skeletal muscle are able to accumulate Ca2+ or Sr2+ at the expense of ATP hydrolysis. Depending on the conditions used, vesicles loaded with Ca2+ can catalyze either an ATP in equilibrium Pi exchange or the synthesis of ATP from ADP and Pi. Both reactions are impaired in vesicles loaded with Sr2+. The Sr2+ concentration required for half-maximal ATPase activity increases from 2 microM to 60-70 microM when the Mg2+ concentration is raised from 0.5 to 50 mM. The enzyme is phosphorylated by ATP in the presence of Sr2+. The steady state level of phosphoenzyme varies depending on both the Sr2+ and Mg2+ concentrations in the medium. Phosphorylation of the enzyme by Pi is inhibited by both Ca2+ and Sr2+. In the presence of 2 and 20 mM Mg2+, half-maximal inhibition is attained in the presence of 4 and 8 microM Ca2+ or in the presence of 0.24 mM and more than 2 mM Sr2+, respectively. After the addition of Sr2+, the phosphoenzyme is cleaved with two different rate constants, 0.5-1.5 s-1 and 10-18 s-1. The fraction of phosphoenzyme cleaved at a slow rate is smaller the higher the Sr2+ concentration in the medium. Ca2+ inhibition of enzyme phosphorylation by Pi is overcome by the addition of ITP. This is not observed when Ca2+ is replaced by Sr2+.     

Polymerization of ADP-actin

Using hexokinase, glucose, and ATP to vary reversibly the concentrations of ADP and ATP in solution and bound to Acanthamoeba actin, I measured the relative critical concentrations and elongation rate constants for ATP-actin and ADP-actin in 50 mM KCl, 1 mM MgCl2, 1 mM EGTA, 0.1 mM nucleotide, 0.1 mM CaCl2, 10 mM imidazole, pH 7. By both steady-state and elongation rate methods, the critical concentrations are 0.1 microM for ATP-actin and 5 microM for ADP-actin. Consequently, a 5 microM solution of actin can be polymerized, depolymerized, and repolymerized by simply cycling from ATP to ADP and back to ATP. The critical concentrations differ, because the association rate constant is 10 times higher and the dissociation rate constant is five times lower for ATP-actin than ADP-actin. These results show that ATP-actin occupies both ends of actin filaments growing in ATP. The bound ATP must be split on internal subunits and the number of terminal subunits with bound ATP probably depends on the rate of growth.     

Sarcoplasmic reticulum adenosinetriphosphatase phosphorylation from inorganic phosphate. Theoretical and experimental reinvestigation

Pi phosphorylation of sarcoplasmic reticulum (SR) vesicles in the absence of Ca was reinvestigated. Theoretical analysis shows that, for various substrate concentrations, the time dependence of phosphoenzyme formation does not allow determination of an unambiguous reaction scheme or estimation of the stoichiometry of the reaction. To overcome this difficulty, we measured medium Pi oxygen exchange, [32P]-phosphoenzyme formation, and intrinsic fluorescence. We found that contrarily to the usual assumption the substrate binding step in the phosphorylation direction at pH 6.0, KCl = 0, and 23 degrees C is a slow process whose bimolecular rate constant is around 5 X 10(3) M-1 s-1 for both Mg and Pi binding. We confirm [Lacapère, J. J., Gingold, M. P., Champeil, P., & Guillain, F. (1981) J. Biol. Chem. 256, 2302-2306] that, in a second step, the establishment of a covalent bond between the bound Pi and the enzyme is formed with a rate constant greater than or equal to 20 s-1 whereas the dephosphorylation rate constant is 2-3 s-1. These results imply that under optimal conditions for phosphorylation, the enzyme is almost entirely phosphorylated at concentrations of 20 mM MgCl2 and 20 mM Pi. Study of the phosphorylation reaction under various experimental conditions shows that reduction of the phosphoenzyme level upon KCl addition is mainly due to the augmentation of the hydrolysis rate constant. In addition we propose that the strong inhibition by large amounts of MgCl2 is due to the formation of an E? . Mg complex unfit for phosphorylation by Pi.(ABSTRACT TRUNCATED AT 250 WORDS)     

Polymerization of ADP-actin and ATP-actin under sonication and characteristics of the ATP-actin equilibrium polymer

Polymerization under sonication has been developed as a new method to study the rapid polymerization of actin with a large number of elongating sites. The theory proposed assumes that filaments under sonication are maintained at a constant length by the constant input of energy. The data obtained for the reversible polymerization of ADP-actin under sonication have been successfully analyzed according to the proposed model and, therefore, validate the model. The results obtained for the polymerization of ATP-actin under sonication demonstrate the involvement of ATP hydrolysis in the polymerization process. At high actin concentration, polymerization was fast enough, as compared to ATP hydrolysis on the F-actin, to obtain completion of the reversible polymerization of ATP-actin before significant hydrolysis of ATP occurred. A critical concentration of 3 microM was determined as the ratio of the dissociation and association rate constants for the interaction of ATP-actin with the ATP filament ends in 1 mM MgCl2, 0.2 mM ATP. The plot of the rate of elongation of filaments versus actin monomer concentration exhibited an upward deviation at high actin concentration that is consistent with this result. The fact that F-actin at steady state is more stable than the ATP-F-actin polymer at equilibrium suggests that the interaction between ADP-actin and ATP-actin subunits at the end of the ATP-capped filament is much stronger than the interaction between two ATP-actin subunits.     

On the interaction between xanthine oxidase and actin

Xanthine oxidase increases the rate of actin polymerization. This occurs at oxidase concentrations as low as 40 nM provided the concentration of the polymerizing agent is low (0.5 mM MgCl2). In the presence of 0.1 M KCl plus 1 mM MgCl2 as the polymerizing agents, xanthine oxidase does not affect the rate of the polymerization but increases significantly the rate of the conversion of F(ATP)actin into F(ADP.Pi)actin and probably also the rate of the orthophosphate release.     

Rapid release of 42K and 86Rb from an occluded state of the Na,K-pump in the presence of ATP or ADP

We have measured the time course of release of 42K and 86Rb from an occluded state of the Na,K-pump using a rapid filtration apparatus. We have found that at 20 degrees C and in the presence of ATP, 42K is released with a rate constant of approximately 45 s-1 and 86Rb with a rate constant of approximately 20 s-1; both ATP and ADP are effective at a low affinity site (Kd approximately 0.3 and 1 mM, respectively) with the rate of deocclusion being only half as great in ADP as in ATP. Mg2+ stimulates 2-fold at low concentrations probably by forming MgATP, and free Mg2+ is strongly inhibitory at high concentrations (Kd approximately 10 mM). Mg2+ also decreases the affinity for ATP, and the data are consistent with mixed type inhibition; from the analysis the dissociation constant is approximately 1 mM for the inhibitory Mg2+ and the Rb+-occluded form without ATP. The rate of 42K or 86Rb release increases monotonically with pH while ATPase activity decreases above pH 8, so that deocclusion is not rate-limiting in the overall cycle at high pH. This is reflected by a convergence of the rate of Na,K-ATPase and Na,Rb-ATPase activities at high pH and by a decrease in the observed steady-state level of the occluded 86Rb intermediate at high pH. K+, Rb+, Na+, and Cs+, but not Li+, increase the rate of 42K and 86Rb release at constant ionic strength, presumably at sites other than the transport sites. The spontaneous rate of deocclusion is only approximately 0.1 s-1 at low ionic strength in the absence of nucleotides, and it is increased markedly by all cations tested except Li+. Overall the data are consistent with deocclusion as a rate-limiting step in the Na,K-pump cycle.     

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.     

Effects of Ca2+ on the kinetics of phosphate release in skeletal muscle.

The process of phosphate dissociation during the muscle cross-bridge cycle has been investigated by photoliberation of inorganic phosphate (Pi) within skinned fibers of rabbit psoas muscle. This permitted a test of the idea that Ca2+ controls muscle contraction by regulating the Pi release step of the cycle. Photoliberation of Pi from structurally distinct "caged" Pi precursors initiated a rapid tension decline of up to 12% of active tension, and this was followed by a slower tension decline. The apparent rate constant of the fast phase, kPi, depended on both [Pi] and [Ca2+], whereas the slow phase generally occurred at 2-4 s-1. At maximal Ca2+, kPi increased in a nonlinear manner from 43 +/- 2 s-1 to 118 +/- 7 s-1, as Pi was raised from 0.9 to 12 mM. This was analyzed in terms of a three-state kinetic model in which a force-generating transition is coupled to Pi dissociation from the cross-bridge. As Ca(2+)-activated tension was reduced from maximal (Pmax) to 0.1 Pmax, (i) kPi decreased by up to 2.5-fold, (ii) the relative amplitude of the rapid phase increased 2-fold, and (iii) the relative amplitude of the slow phase increased about 6-fold. Changes in the rapid phase are compatible with Ca2+ influencing an apparent equilibrium constant for the force-generating transition. By comparison, kPi was faster than the rate constant of tension redevelopment, ktr, and was influenced less by Ca2+. Ca2+ effects on the caged Pi transient cannot account for the large effects of Ca2+ on actomyosin ATPase rates or cross-bridge cycling kinetics but may be a manifestation of reciprocal interactions between the thin filament and force-generating cross-bridges, and may represent Ca2+ regulation of the distribution of cross-bridges between non-force-and force-generating states.     

Uni-site catalysis in thylakoids. The influence of membrane energization on ATP hydrolysis and ATP-Pi exchange

ATP-hydrolysis was measured with thylakoid membranes during continuous illumination. The concentrations of free and enzyme-bound ATP, ADP and Pi were measured using either cold ATP, [gamma-32P]ATP or [14C]ATP. The concentration of free ATP was constant, free ADP and enzyme-bound ATP were below the detection limit. Nevertheless, [gamma-32P]ATP was bound, hydrolyzed and 32Pi was released. The ADP was not released from the enzyme but cold Pi was bound from the medium, cold ATP was resynthesized and released. A quantitative analysis gave the following rate constants: ATP-binding kATP = 2 . 10(5) M-1 s-1, ADP-release: kADP less than 10(-2)s-1, Pi-release: kPi = 0.1 s-1. These rate constants are considerably smaller than under deenergized conditions. The rate constant for the release of ATP can be estimated to be at least 0.2 s-1 under energized conditions. Obviously, energization of the membrane, i.e. protonation of the enzyme leads mainly to a decrease of the rate of ATP-binding, to an increase of the rate of ATP release and to a decrease of the rate of ADP-release.     

Impact of profilin on actin-bound nucleotide exchange and actin polymerization dynamics

We have investigated the effects of profilin on nucleotide binding to actin and on steady state actin polymerization. The rate constants for the dissociation of ATP and ADP from monomeric Mg-actin at physiological conditions are 0.003 and 0.009 s-1, respectively. Profilin increases these dissociation rate constants to 0.08 s-1 for MgATP-actin and 1.4 s-1 for MgADP-actin. Thus, profilin can increase the rate of exchange of actin-bound ADP for ATP by 140-fold. The affinity of profilin for monomeric actin is found to be similar for MgATP-actin and MgADP-actin. Continuous sonication was used to allow study of solutions having sustained high filament end concentrations. During sonication at steady state, F-actin depolymerizes toward the critical concentration of ADP-actin [Pantaloni, D., et al. (1984)J. Biol. Chem. 259, 6274-6283], our analysis indicates that under these conditions a significant number of filaments contain terminal ADP-actin subunits. Addition of profilin to this system increases the polymer concentration and increases the steady state ATPase activity during sonication. These data are explained by the fast exchange of ATP for ADP on the profilin-ADP-actin complex, resulting in rapid ATP-actin regeneration. An important function of profilin may be to provide the growing ends of filaments with ATP-actin during periods when the monomer cycling rate exceeds the intrinsic nucleotide exchange rate of monomeric actin.     

The effect of phosphate and calcium on force generation in glycerinated rabbit skeletal muscle fibers. A steady-state and transient kinetic study

The effect of varying concentrations of Pi and Ca2+ on isometric force and on the rate of force development in skinned rabbit psoas muscle fibers has been investigated. Steady-state results show that the three parameters that define the force-pCa relation (Po, pK, and n) all vary linearly with log [Pi]. As [Pi] increases, Po and pK decrease while n increases. The kinetics of force generation in isometrically contracting fibers were studied by laser flash photolysis of caged phosphate. The observed rate of the resulting tension transient, kPi, is 23.5 +/- 1.7 s-1 at 10 degrees C, 0.7 mM Pi, and is independent of [Ca2+] over the range pCa 4.5-7.2. By contrast, kTR, the rate of tension redevelopment following a period of isotonic shortening, is sensitive to [Ca2+] and is slower than kPi (kTR = 13.6 +/- 0.2 s-1 at pCa 4.5, 0.7 mM Pi). The results show that [Ca2+] does not directly affect the Pi release or force-generating steps of the cross-bridge cycle and show that the observed rate of force development depends on how the measurement is made. The data can be interpreted in terms of a model in which strong cross-bridges activate the thin filament, this activation being modulated by Ca2+ binding to troponin.