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MUSCLE CELL BIOLOGY AND CELL MOTILITY
Department of Molecular Physiology and Biophysics, University of Vermont, Burlington, Vermont
Submitted 25 March 2008 ; accepted in final form 9 May 2008
| ABSTRACT |
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d/ton), a slowed rate of ADP release and the presence of nonproductive actomyosin interactions could account for the acidosis-induced decrease in Vactin, suggesting a molecular explanation for this component of muscular fatigue. acidosis; fatigue; velocity; laser trap
In the present study, actin filament velocity (Vactin) was slowed at low pH. Based on a detachment limited model (15), Vactin is dependent on the step size of myosin (d) and the duration of the strongly bound state following the powerstroke (ton), i.e., Vactin
d/ton. By characterizing the molecular mechanics of skeletal muscle myosin in the laser trap assay, lowering pH from 7.4 to 6.4 does not appear to affect myosin's inherent step size. However, low pH does alter the kinetics of the cross-bridge cycle by prolonging ton. This prolongation of ton appears to result from a threefold slower rate of ADP release from myosin. Additionally, low pH may increase the probability of a rigor-like, nonproductive interaction between actin and myosin that may act as an internal load to motion generation in an ATP-dependent manner, serving to further slow Vactin at low pH.
| METHODS |
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Solutions Isolated myosin was diluted in myosin buffer (0.3 M KCl, 25 mM imidazole, 1 mM EGTA, 4 mM MgCl2, and 10 mM dithiothreitol, pH 7.4). The final laser trap buffer contained 25 mM KCl, 25 mM imidazole, 1 mM EGTA, 4 mM MgCl2, 10 mM dithiothreitol, and oxygen scavengers (0.1 mg/ml glucose oxidase, 0.018 mg/ml catalase, and 2.3 mg/ml glucose) and was adjusted to either pH 7.4 or 6.4 (with the addition of HCl). The final motility buffer had the same composition as the final trapping buffer but also contained methylcellulose to help keep the actin filaments in contact with the myosin-coated surface. The MgATP concentration in the trapping and motility buffers was varied from 0.5 µM to 10 mM. To maintain a constant ionic strength and a 3 mM free Mg2+ concentration, the KCl and MgCl2 concentrations were adjusted according to the constants contained within the MaxChelator (Version 2.50) software program (32).
In Vitro Motility and Single Molecule Laser Trap Assays
The in vitro motility assay was performed at 30°C, and data were analyzed as previously described (43). The three-bead laser trap assay was performed as described by Guilford et al. (12) using the instrumentation detailed in Kad et al. (17). Briefly, manipulating the microscope stage allowed two 1-µm silica beads to be captured in separate laser traps, and a single actin filament was then attached to the NEM-myosin/NAV-coated beads (the combination of NEM-myosin/NAV coating allowed for a strong bead-actin-bead assembly at mM ATP concentrations). Pretension was then imposed on the bead-actin-bead assembly (
4 pN), and the stiffness (
0.02 pN/nm) of the combined assembly was determined using the equipartition method (12). The bead-actin-bead assembly was then lowered onto a third microsphere (3-µm diameter) sparsely coated with myosin. The laser trap experiments were performed at room temperature (20°C).
Analysis of Single Molecule Data Records The raw displacement of the actin-attached bead was obtained from the output of a quadrant photodiode in the laser trap assay and was acquired and processed as previously described (12). Each recording consisted of roughly 2 min of data, containing hundreds of events. Myosin's unitary step size (d) and duration of strong actin binding (ton) were determined using mean-variance analysis as previously described (12). A Student's t-test for independent samples was used to determine pH-induced differences in d with significance set at P < 0.05. An ANOVA was used to analyze ton values as a function of [ATP] in the single molecule data with a Tukey-HSD post hoc test used to locate significant differences (P < 0.05).
| RESULTS |
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10 µM) to enhance the detection of myosin binding to actin by prolonging the attached lifetime following the powerstroke.
Step size.
At pH 7.4 and low ATP (
10 µM), binding events (Fig. 2) were characterized by an average step size of 10 nm (Table 1), as determined by mean-variance (MV) analysis, consistent with previous estimates from whole chicken skeletal muscle myosin (12). In contrast, at pH 6.4 and low ATP, binding events were broadly distributed and centered near 0 nm, which drastically altered the profile of the MV histogram (Fig. 2). The average d, at pH 6.4 and 10 µM ATP, was reduced by 40% to 6 ± 5 nm and by 80% at 0.5 and 1 µM ATP to 2 ± 1 nm (Table 1).
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Attached lifetime, ton.
Although the apparent reduction in d at
10 µM ATP, pH 6.4, may contribute to the slowed Vactin at these ATP concentrations, the inability of Vactin to recover at elevated ATP (see Fig. 1) even though d was restored to normal at 1 mM ATP, suggests that one or more biochemical transitions in the actomyosin ATPase cycle might be slowed by low pH. This is further emphasized by the large shift in Km (Fig. 1). Therefore, we examined the effects of low pH on myosin's attached lifetime (ton) since ton is determined by the time waiting for ADP release (1/k–ADP) and subsequent ATP binding [1/(k+ATP·[ATP])] to the active site {i.e., ton = (1/k–ADP)+[1/(k+ATP·[ATP])] (29), where k–ADP is the rate of ADP release and k+ATP is the second-order ATP binding rate}. By measuring ton as a function of ATP concentration, we can determine whether k–ADP and/or k+ATP are altered by lowering pH.
As expected, ton was ATP dependent at both high and low pH levels (Table 1). At 1 µM ATP, low pH did not significantly affect ton but at 10 µM ATP, ton was prolonged threefold at pH 6.4 (Table 1). Additionally at 1 mM ATP, under acidic conditions the observed ton value of 31 ± 9 ms (Table 1) is once again threefold longer than an extrapolated estimate of ton at saturating ATP and pH 7.4, based on our previous work (3). A comparison to an extrapolated estimate of ton was necessary since binding events at 1 mM ATP and pH 7.4 are typically below our detection limit (Fig. 2, bottom left). We fit the myosin detachment rate [1/ton (see above)] at pH 6.4 as a function of ATP concentration (Fig. 3) to the following equation to estimate k–ADP and k+ATP:
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| DISCUSSION |
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d/ton) (15). In addition, at the ensemble level we have shown that Vactin is also governed by the mechanical interactions between myosin molecules that simultaneously interact with the actin filament (43). Here we propose that lowering pH at physiological ATP does not alter skeletal myosin's inherent motion-generating capacity, d, but rather the reduced Vactin results from slowed kinetics associated with ton and that the emergence of a population of nonproductive actomyosin interactions may act as an internal load in the motility assay. Low pH Increases Nonproductive Actomyosin Interactions At limiting concentrations of ATP (<10 µM), the step size decreased as much as 80% at pH 6.4 (Table 1). The step size of myosin is due to a rotation of the light chain binding domain, acting as a lever arm to amplify small conformational changes in the myosin head (34, 44). Therefore, low pH could induce a structural alteration in myosin to reduce its lever arm rotation (21) and/or stiffness (37) to account for the diminished step size. We do not favor this explanation and propose that the inherent step size of myosin is unchanged by low pH and that the presence of a broadly distributed population of binding events centered at 0 nm displacement biases the estimate of d to lower values. In support of this, at pH 7.4 and 1 µM ATP, the step size for a given myosin molecule is clearly defined by a distinct 10-nm population (see Fig. 2). In contrast at pH 6.4, the event population becomes broadly distributed about a mean of 2 nm. Based on a model simulation (see Fig. 4 for details), the apparently shorter step size at pH 6.4 could arise from myosin generating a normal 10-nm displacement but more often binds to actin without generating a powerstroke. This nonproductive interaction would randomly capture the actin filament during its Brownian excursion in the laser trap, resulting in a broadly distributed event population near 0 nm (40). Additionally, these nonproductive binding events are seemingly ATP dependent given that at pH 6.4 and 1 mM ATP, step sizes are no longer broadly distributed and are restored to the well-defined 10-nm population.
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10 µM) and not at 1 mM ATP offers additional support that these binding events involve rigor-like actomyosin complexes that are sensitive to ATP. Based on a second-order ATP-binding rate of 5 x 106 M–1·s–1, at 1 mM ATP the nonproductive events would be extremely short-lived (<1 ms) and therefore not detected in the laser trap. In fact, additional simulations (as described above and presented in Fig. 4) demonstrate that the contribution of the broadly distributed nonproductive events to the overall event population observed at 1 µM ATP is reduced as the ATP concentration is increased to 1 mM. As the duration of nonproductive events is decreased with increasing ATP concentrations, the productive events once again predominate, restoring the step size to its normal 10-nm value. Therefore, we propose that lowering pH does not directly affect the inherent motion generation of myosin but rather its kinetics so that slowing of the transition out of the ATP-bound postpowerstroke state or hydrolysis itself (Fig. 5) would thus favor myosin rebinding to actin in a nonmotion generating strongly bound state. The presence of nonproductive actomyosin interactions could serve as an internal load to slow Vactin at all ATP concentrations studied, even physiological ATP concentrations. We have shown previously in the motility assay that chemically modified myosins that trap myosin in a weak- (pPDM-modified) or strong-binding (NEM-modified) state impede the motion generated by normally cycling myosins (43). With the duration of these putative nonproductive binding events at pH 6.4 being sensitive to ATP, the effective load presented by these events would be greater at lower ATP concentrations. This internal load might explain the rightward shift in the Vactin/[ATP] relationship and therefore the apparent change in Km, supporting the hypothesis that acidosis slows Vmax in muscle fibers by imposing an increased resistive drag (36).
Low pH Prolongs ton At 1 mM ATP, which is near physiological (18), Vactin at pH 6.4 was reduced 65% compared with that at pH 7.4 (Fig. 1). Although the resistive load created by nonproductive binding events may contribute to this slowing, the prolonged ton at 1 mM ATP is the most likely determinant of Vactin. To demonstrate this directly, we took advantage of the slower kinetics associated with smooth muscle myosin (23) so that the effect of low pH on ton at 1 mM ATP could be determined without relying on an assumed value of ton for skeletal myosin at pH 7.4 (3). At 1 mM ATP and pH 6.4, smooth muscle binding events were characterized by a step size of 9 nm, as at pH 7.4, but as predicted for skeletal myosin, ton was approximately threefold longer than at pH 7.4 (Fig. 6), providing direct support that low pH does prolong ton at normal physiological ATP concentrations.
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It is unclear how low pH affects the kinetics of the cross-bridge cycle at a structural level. However, one or more amino acids within the active site that are crucial to nucleotide-dependent transitions in the cross-bridge cycle may be protonated at low pH. This might alter the ability of myosin to cleave the gamma phosphate of ATP and increase its affinity for ADP both of which are suggested by the data presented. Histidine residues could play a role in these effects because they have a pKa (6.0) closest to the range of pH values used in the present investigation. Interestingly, the depressive effects of low pH have been shown to be dependent on the isoform of myosin heavy chain (MHC) expressed in a muscle fiber (26), thus a comparison of the sequences of the MHC could provide information regarding the residues crucial to low pH-induced decreases in Vactin.
Implications for Fatigue Intracellular acidosis has been a primary suspect in muscular fatigue and reduced muscle force generation since the nineteenth century (10). Edman and Mattiazzi (6) were among the first to attribute the decline in Vmax to increased myoplasmic H+ in isolated muscle preparations. Whereas the depressive effect of acidosis on maximal isometric force appears to be minimal near physiological temperatures (20, 31), the effect on unloaded shortening appears to be temperature independent over the range between 15 and 30°C (20). The large acidosis-induced decrease in velocity, observed in single fibers, was also evident under loaded shortening and suggests that acidosis can reduce the peak power-generating capacity of muscle (9, 20).
The motility assay and single molecule experiments can provide insight into the molecular mechanism underlying pH-dependent muscular fatigue. Even at or slightly below normal physiologically ATP concentrations (18), the 10-fold increase in Km for ATP caused by low pH (Fig. 1) could lead to a significant reduction in Vmax in fibers. The reduction in ATP may be even more important than previously thought because there is evidence that reductions in intracellular ATP can be as great as 80% following short bouts of intense exercise (18). This effect is fiber-type dependent with a greater reduction in intracellular ATP in fast type II versus slow type I fibers (18). Thus combining this observation with an increased acid production and Km for ATP may help explain the greater rate of fatigue of fast type II versus slow type I muscle (8).
The present findings may not apply entirely to the situation in both skinned and intact muscle for several reasons. For example, Metzger and Moss (25) suggests that acidosis may decrease filament lattice spacing (1), which can slow unloaded Vmax in muscle fibers (41). Such an effect would of course be dependent on the highly ordered structure of muscle, which is not present in the assays employed in the present investigation. In addition, actin filaments used in the present experiments do not include the regulatory proteins tropomyosin and troponin, which are known to modulate actomyosin kinetics (14) and also mediate the pH effect on the force-calcium relationship in muscle fibers (27). Thus future studies that incorporate fully regulated thin filaments in the laser trap assay (16) could partition the effect of low pH between the direct effects on actomyosin performance from the effects mediated through regulatory proteins. Regardless, this study does provide direct evidence that low pH profoundly affects the ability of myosin to translocate actin, whereby Vactin is slowed by both a reduced rate of ADP release from myosin and the appearance of an increased proportion of nonproductive actomyosin interactions, both of which at the ensemble level would create an effective internal load to movement.
| GRANTS |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
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