Contraction of glycerinated rabbit slow-twitch muscle fibers as a function of MgATP concentration

Creatine Kinase Equilibration and ΔGATP over an Extended Range of Physiological Conditions: Implications for Cellular Energetics, Signaling, and Muscle Performance

In this report, we establish a straightforward method for estimating the equilibrium constant for the creatine kinase reaction (CK Keq″) over wide but physiologically and experimentally relevant ranges of pH, Mg2+ and temperature. Our empirical formula for CK Keq″ is based on experimental measurements. It can be used to estimate [ADP] when [ADP] is below the resolution of experimental measurements, a typical situation because [ADP] is on the order of micromolar concentrations in living cells and may be much lower in many in vitro experiments. Accurate prediction of [ADP] is essential for in vivo studies of cellular energetics and metabolism and for in vitro studies of ATP-dependent enzyme function under near-physiological conditions. With [ADP], we were able to obtain improved estimates of ΔGATP, necessitating the reinvestigation of previously reported ADP- and ΔGATP-dependent processes. Application to actomyosin force generation in muscle provides support for the hypothesis that, when [Pi] varies and pH is not altered, the maximum Ca2+-activated isometric force depends on ΔGATP in both living and permeabilized muscle preparations. Further analysis of the pH studies introduces a novel hypothesis around the role of submicromolar ADP in force generation.

Actomyosin kinetics of pure fast and slow rat myosin isoforms studied by in vitro motility assay approach

An in vitro motility assay approach was used to investigate the mechanisms of the functional differences between myosin isoforms, by studying the effect of MgATP and MgADP on actin sliding velocity (V(f)) of pure slow and fast rat skeletal myosin at different temperatures. The value of V(f) depended on [MgATP] according to Michaelis-Menten kinetics, with an apparent constant (K(m)) of 54.2, 64.4 and 200 μm for the fast isoform and 18.6, 36.5 and 45.5 μM for the slow isoform at 20, 25 and 35°C, respectively. The presence of 2 mM MgADP decreased V(f) and yielded an inhibition constant (K(i)) of 377, 463 and 533 μM for the fast isoform at 20, 25 and 35°C, respectively, and 120 and 355 μM for the slow isoform at 25 and 35°C, respectively. The analysis of K(m) and K(i) suggested that slow and fast isoforms differ in the kinetics limiting V(f). Moreover, the higher sensitivity of the fast myosin isoform to a drop in [MgATP] is consistent with the higher fatigability of fast fibres than slow fibres. From the Michaelis-Menten relation in the absence of MgADP, we calculated the rate of actomyosin dissociation by MgATP (k(+ATP)) and the rate of MgADP release (k(-ADP)). We found values of k(+ATP) of 4.8 × 10(6), 6.5 × 10(6) and 6.6 × 10(6) M(-1) s(-1) for the fast isoform and 3.3 × 10(6), 2.9 × 10(6) and 6.7 × 10(6) M(-1) s(-1) for the slow isoform and values of k(-ADP) of 263, 420 and 1320 s(-1) for the fast isoform and 62, 107 and 306 s(-1) for the slow isoform at 20, 25 and 35°C, respectively. The results suggest that k(-ADP) could be the major determinant of functional differences between the fast and slow myosin isoforms at physiological temperatures.

Micromechanical thermal assays of Ca2+-regulated thin-filament function and modulation by hypertrophic cardiomyopathy mutants of human cardiac troponin

Microfabricated thermoelectric controllers can be employed to investigate mechanisms underlying myosin-driven sliding of Ca(2+)-regulated actin and disease-associated mutations in myofilament proteins. Specifically, we examined actin filament sliding-with or without human cardiac troponin (Tn) and α-tropomyosin (Tm)-propelled by rabbit skeletal heavy meromyosin, when temperature was varied continuously over a wide range (~20-63°C). At the upper end of this temperature range, reversible dysregulation of thin filaments occurred at pCa 9 and 5; actomyosin function was unaffected. Tn-Tm enhanced sliding speed at pCa 5 and increased a transition temperature (T(t)) between a high activation energy (E(a)) but low temperature regime and a low E(a) but high temperature regime. This was modulated by factors that alter cross-bridge number and kinetics. Three familial hypertrophic cardiomyopathy (FHC) mutations, cTnI R145G, cTnI K206Q, and cTnT R278C, cause dysregulation at temperatures ~5-8°C lower; the latter two increased speed at pCa 5 at all temperatures.

Inhibition of shortening velocity of skinned skeletal muscle fibers in conditions that mimic fatigue

The mechanisms responsible for the inhibition of shortening velocity that occurs during muscle fatigue have not been completely elucidated. Phosphorylation of the myosin regulatory light chain (RLC) occurs during heavy use; however, previous reports on its role in affecting velocity have been equivocal. To further understand the process of fatigue, we varied the levels of myosin RLC phosphorylation (from 10 to >50%) and the concentrations of protons (from pH 7 to 6.2) and phosphate (from 5 to 30 mM), all of which change during fatigue. We measured the mechanics of permeable rabbit psoas fibers at a temperature closer to physiological (30 degrees C), using a temperature jump protocol to briefly activate the fibers at the higher temperature to preserve sarcomere homogeneity. Although lowered pH alone had an effect on velocity, it was the three factors together, i.e., high phosphorylation, low pH, and high phosphate, that acted synergistically to inhibit fiber velocity by approximately 40%. Our data demonstrate that in conditions that simulate physiological muscle fatigue, myosin phosphorylation does contribute to the inhibition of contraction velocity of fully activated fast muscle fibers.

Myosin light chain phosphorylation inhibits muscle fiber shortening velocity in the presence of vanadate

We have shown that myosin light chain phosphorylation inhibits fiber shortening velocity at high temperatures, 30 degrees C, in the presence of the phosphate analog vanadate. Vanadate inhibits tension by reversing the transition to force-generating states, thus mimicking a prepower stroke state. We have previously shown that at low temperatures vanadate also inhibits velocity, but at high temperatures it does not, with an abrupt transition in inhibition occurring near 25 degrees C (E. Pate, G. Wilson, M. Bhimani, and R. Cooke. Biophys J 66: 1554-1562, 1994). Here we show that for fibers activated in the presence of 0.5 mM vanadate, at 30 degrees C, shortening velocity is not inhibited in dephosphorylated fibers but is inhibited by 37 +/- 10% in fibers with phosphorylated myosin light chains. There is no effect of phosphorylation on fiber velocity in the presence of vanadate at 10 degrees C. The K(m) for ATP, defined by the maximum velocity of fibers partially inhibited by vanadate at 30 degrees C, is 20 +/- 4 microM for phosphorylated fibers and 192 +/- 40 microM for dephosphorylated fibers, showing that phosphorylation also affects the binding of ATP. Fiber stiffness is not affected by phosphorylation. Inhibition of velocity by phosphorylation at 30 degrees C depends on the phosphate analog, with approximately 12% inhibition in fibers activated in the presence of 5 mM BeF(3) and no inhibition in the presence of 0.25 mM AlF(4). Our results show that myosin phosphorylation can inhibit shortening velocity in fibers with large populations of myosin heads trapped in prepower stroke states, such as occurs during muscle fatigue.

At physiological temperatures the ATPase rates of shortening soleus and psoas myofibrils are similar

We obtained the temperature dependences of the adenosine triphosphatase (ATPase) activities (calcium-activated and relaxed) of myofibrils from a slow muscle, which we compared with those from a fast muscle. We chose rabbit soleus and psoas because their myosin heavy chains are almost pure: isoforms I and IIX, respectively. The Arrhenius plots of the ATPases are linear (4-35 degrees C) with energies of activation for soleus myofibrils 155 kJ mol(-1) (activated) and 78 kJ mol(-1) (relaxed). With psoas myofibrils, the energies of activation were 71 kJ mol(-1) (activated) and 60 kJ mol(-1) (relaxed). When extrapolated to 42 degrees C the ATPase rates of the two types of myofibril were identical: 50 s(-1) (activated) and 0.23 s(-1) (relaxed). Whereas with psoas myofibrils the K(m) for adenosine triphosphate (activated ATPase) is relatively insensitive to temperature, that for soleus myofibrils increased from 0.3 microM at 4 degrees C to 66.5 microM at 35 degrees C. Our results illustrate the importance of temperature when comparing the mechanochemical coupling in different types of muscle. We discuss the problem of how to reconcile the similarity of the myofibrillar ATPase rates at physiological temperatures with their different mechanical properties.

Differing ADP release rates from myosin heavy chain isoforms define the shortening velocity of skeletal muscle fibers

To understand mammalian skeletal myosin isoform diversity, pure myosin isoforms of the four major skeletal muscle myosin types (myosin heavy chains I, IIA, IIX, and IIB) were extracted from single rat muscle fibers. The extracted myosin (1-2 microg/15-mm length) was sufficient to define the actomyosin dissociation reaction in flash photolysis using caged-ATP (Weiss, S., Chizhov, I., and Geeves, M. A. (2000) J. Muscle Res. Cell Motil. 21, 423-432). The ADP inhibition of the dissociation reaction was also studied to give the ADP affinity for actomyosin (K(AD)). The apparent second order rate constant of actomyosin dissociation gets faster (K(1)k(+2) = 0.17 -0.26 microm(-1) x s(-1)), whereas the affinity for ADP is weakened (250-930 microm) in the isoform order I, IIA, IIX, IIB. Both sets of values correlate well with the measured maximum shortening velocity (V(0)) of the parent fibers. If the value of K(AD) is controlled largely by the rate constant of ADP release (k(-AD)), then the estimated value of k(-AD) is sufficiently low to limit V(0). In contrast, [ATP]K(1)k(+2) at a physiological concentration of 5 mm ATP would be 2.5-6 times faster than k(-AD).

Substrate and product dependence of force and shortening in fast and slow smooth muscle

To explore the molecular mechanisms responsible for the variation in smooth muscle contractile kinetics, the influence of MgATP, MgADP, and inorganic phosphate (P(i)) on force and shortening velocity in thiophosphorylated "fast" (taenia coli: maximal shortening velocity Vmax = 0.11 ML/s) and "slow" (aorta: Vmax = 0.015 ML/s) smooth muscle from the guinea pig were compared. P(i) inhibited active force with minor effects on the V(max). In the taenia coli, 20 mM P(i) inhibited force by 25%. In the aorta, the effect was markedly less (< 10%), suggesting differences between fast and slow smooth muscles in the binding of P(i) or in the relative population of P(i) binding states during cycling. Lowering of MgATP reduced force and V(max). The aorta was less sensitive to reduction in MgATP (Km for Vmax: 80 microM) than the taenia coli (Km for Vmax: 350 microM). Thus, velocity is controlled by steps preceding the ATP binding and cross-bridge dissociation, and a weaker binding of ATP is not responsible for the lower V(max) in the slow muscle. MgADP inhibited force and V(max). Saturating concentrations of ADP did not completely inhibit maximal shortening velocity. The effect of ADP on Vmax was observed at lower concentrations in the aorta compared with the taenia coli, suggesting that the ADP binding to phosphorylated and cycling cross-bridges is stronger in slow compared with fast smooth muscle.

Peak power output is maintained in rabbit psoas and rat soleus single muscle fibers when CTP replaces ATP

The chemomechanical coupling mechanism in striated muscle contraction was examined by changing the nucleotide substrate from ATP to CTP. Maximum shortening velocity [extrapolation to zero force from force-velocity relation (Vmax) and slope of slack test plots (V0)], maximum isometric force (Po), power, and the curvature of the force-velocity curve [a/Po (dimensionless parameter inversely related to the curvature)] were determined during maximum Ca2+-activated isotonic contractions of fibers from fast rabbit psoas and slow rat soleus muscles by using 0.2 mM MgATP, 4 mM MgATP, 4 mM MgCTP, or 10 mM MgCTP as the nucleotide substrate. In addition to a decrease in the maximum Ca2+-activated force in both fiber types, a change from 4 mM ATP to 10 mM CTP resulted in a decrease in Vmax in psoas fibers from 3.26 to 1.87 muscle length/s. In soleus fibers, Vmax was reduced from 1.94 to 0.90 muscle length/s by this change in nucleotide. Surprisingly, peak power was unaffected in either fiber type by the change in nucleotide as the result of a three- to fourfold decrease in the curvature of the force-velocity relationship. The results are interpreted in terms of the Huxley model of muscle contraction as an increase in f1 and g1 coupled to a decrease in g2 (where f1 is the rate of cross-bridge attachment and g1 and g2 are rates of detachment) when CTP replaces ATP. This adequately accounts for the observed changes in Po, a/Po, and Vmax. However, the two-state Huxley model does not explicitly reveal the cross-bridge transitions that determine curvature of the force-velocity relationship. We hypothesize that a nucleotide-sensitive transition among strong-binding cross-bridge states following Pi release, but before the release of the nucleotide diphosphate, underlies the alterations in a/Po reported here.

Nucleotide-dependent contractile properties of Ca(2+)-activated fast and slow skeletal muscle fibers

The relation between single skinned skeletal fiber contractile mechanics and the myosin mechanoenzyme was examined by perturbing the actomyosin interaction with the ATP analog CTP in fibers from both rabbit psoas and rat soleus. Tension, instantaneous stiffness, and the rate of tension redevelopment (ktr), under software-based sarcomere length control, were examined at 15 degrees C for a range of Ca2+ concentrations in both fiber types. CTP produced 94% of the maximum ATP-generated tension in psoas fibers and 77% in soleus fibers. In psoas, CTP also increased stiffness to 106% of the ATP stiffness, whereas in soleus stiffness decreased to 92%. Thus, part of the greater difference between maximum ATP- and CTP-generated tension in soleus fibers appears to be due to a decrease in strongly bound cross-bridge number. Interestingly, although the nucleotide exchange produced substantial increases in the steepness (nH) of the tension- and stiffness-pCa relationships in soleus fibers, only minor changes were seen in psoas fibers. At maximum Ca2+ and nominal P(i) levels, ktr in psoas fibers increased from 11.7 s-1 with ATP to 16.6 s-1 with CTP and in soleus fibers from 4.9 to 8.4 s-1. Increased P(i) levels decreased the maximum Ca(2+)-activated tension in both fiber types and increased the ktr of psoas fibers, but the ktr of soleus fibers was not significantly altered. Thus, although the nucleotide exchange generally produced similar changes in the mechanics, there were significant muscle lineage differences in the tension- and stiffness-pCa relations and in the effects of P(i) on ktr, such that differences in contractile mechanics were lessened in the presence of CTP.

Effects of MgATP and MgADP on the cross-bridge kinetics of rabbit soleus slow-twitch muscle fibers

The elementary steps surrounding the nucleotide binding step in the cross-bridge cycle were investigated with sinusoidal analysis in rabbit soleus slow-twitch muscle fibers. The single-fiber preparations were activated at pCa 4.40, ionic strength 180 mM, 20 degrees C, and the effects of MgATP (S) and MgADP (D) concentrations on three exponential processes B, C, and D were studied. Our results demonstrate that all apparent (measured) rate constants increased and saturated hyperbolically as the MgATP concentration was increased. These results are consistent with the following cross-bridge scheme: [cross-bridge scheme: see text] where A = actin, M = myosin, S = MgATP, and D = MgADP. AM+S is a collision complex, and AM*S is its isomerized form. From our studies, we obtained K0 = 18 +/- 4 mM-1 (MgADP association constant, N = 7, average +/- sem), K1a = 1.2 +/- 0.3 mM-1 (MgATP association constant, N = 8 hereafter), k1b = 90 +/- 20 s-1 (rate constant of ATP isomerization), k-1b = 100 +/- 9 s-1 (rate constant of reverse isomerization), K1b = 1.0 +/- 0.2 (equilibrium constant of isomerization), k2 = 21 +/- 3 s-1 (rate constant of cross-bridge detachment), k-2 = 14.1 +/- 1.0 s-1 (rate constant of reversal of detachment), and K2 = 1.6 +/- 0.3 (equilibrium constant of detachment). K0 is 8 times and K1a is 2.2 times those in rabbit psoas, indicating that nucleotides bind to cross-bridges more tightly in soleus slow-twitch muscle fibers than in psoas fast-twitch muscle fibers. These results indicate that cross-bridges of slow-twitch fibers are more resistant to ATP depletion than those of fast-twitch fibers. The rate constants of ATP isomerization and cross-bridge detachment steps are, in general, one-tenth to one-thirtieth of those in psoas.

Effects of pH on myofibrillar ATPase activity in fast and slow skeletal muscle fibers of the rabbit

In permeabilized single fibers of fast (psoas) and slow (soleus) muscle from the rabbit, the effect of pH on isometric myofibrillar ATPase activity and force was studied at 15 degrees C, in the pH range 6.4-7.9. ATPase activity was measured photometrically by enzymatic coupling of the regeneration of ATP to the oxidation of NADH, present in the bathing solution. NADH absorbance at 340 nm was determined inside a measuring chamber. To measure ATP turnover in single soleus fibers accurately, a new measuring chamber (volume 4 microliters) was developed that produced a sensitivity approximately 8 times higher than the system previously used. Under control conditions (pH 7.3), the isometric force was 136 and 115 kN/m2 and the ATP turnover was 0.43 and 0.056 mmol per liter fiber volume per second in psoas and soleus fibers, respectively. Over the pH range studied, isometric force increased monotonically by a factor 1.7 for psoas and 1.2 for soleus fibers. In psoas the isometric ATPase activity remained constant, whereas in soleus it slightly decreased with increasing pH. The pH dependency of relative tension cost (isometric ATPase activity divided by force) was practically identical for psoas and soleus fibers. In both cases it decreased by about a factor 0.57 as pH increased from 6.4 to 7.9. The implications of these findings are discussed in terms of cross-bridge kinetics. For both fiber types, estimates of the reaction rates and the distribution of cross-bridges and of their pH dependencies were obtained. A remarkable similarity was found between fast- and slow-twitch fibers in the effects of pH on the reaction rate constants.

Determination of the myosin step size from mechanical and kinetic data

During muscle contraction, work is generated when a myosin cross-bridge attaches to an actin filament and exerts a force on it through some power-stroke distance, h. At the end of this power stroke, attached myosin heads are carried into regions where they exert a negative force on the actin filament (the drag stroke) and where they are released rapidly from actin by ATP binding. Although the length of the power stroke remains controversial, average distance traversed in the drag-stroke region can be determined when one knows both rate of cross-bridge dissociation and filament-sliding velocity. At maximum contraction velocity, the average force exerted in the drag stroke must balance that exerted in the power stroke. We discuss here a simple model of cross-bridge interaction that allows one to calculate the force exerted in the drag stroke and to relate this to the power-stroke distance h traversed by cross-bridges in the positive-force region. Both the rate at which myosin can be dissociated from actin and the velocity at which an actin filament can be translated have been measured for a series of myosin isozymes and for different substrates, producing a wide range of values for each. Nonetheless, we show here that the rate of myosin dissociation from actin correlates well with the velocity of filament sliding, providing support for the simple model presented and suggesting that the power stroke is approximately 10 nm in length.