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Department of Molecular Physiology & Biophysics, University of Vermont, Burlington, Vermont 05405
Correspondence: Address reprint requests to David M. Warshaw, Dept. of Molecular Physiology & Biophysics, University of Vermont, Burlington, VT 05405. Tel.: 802-656-2540; Fax: 802-656-0747; E-mail: warshaw{at}physiology.med.uvm.edu.
| ABSTRACT |
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270-fold decrease in actin sliding velocity. The load dependence of the mutant's ADP release rate was the same as that of wild-type S1 (WT) despite the slower rate. In contrast, load accelerated ATP binding by
20-fold, irrespective of loading direction. Imparting mechanical energy to the mutant motor partially reversed the slowed ATP binding by overcoming the elevated activation energy barrier. These results imply that conformational changes near the conserved G709 are critical for the transmission of mechanochemical information between myosin's active site and lever arm. | INTRODUCTION |
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-helical neck or lever arm. ADP is then released to form a "rigor" state. On ATP binding, myosin dissociates from actin, the power stroke is reprimed, and a new cycle begins. The focus of this study is to understand which of these transitions is modulated by load and the structural basis by which physical forces alter the kinetics of nucleotide transitions at the active site.
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The rates of ADP release, ATP binding, and actin translocation velocity are dramatically slowed for the G709V mutant compared with the wild type (WT). These results indicate that the mutant molecule, although functional, has severely impaired activities. To assess the role of this residue in coupling the active site to the lever arm, load was applied to single motor molecules using the laser trap. The kinetics of ADP release for both WT and mutant S1 were dependent on load, with resistive loads slowing and assistive loads accelerating ADP release. In the WT motor, the rate of ATP binding was minimally affected by load. In contrast, the mutant's slow ATP-binding rate was accelerated
20-fold by load regardless of the direction in which it was applied, resulting in a partial reversal of the mutant phenotype. The implications of these observations to our understanding of how molecular motions are linked to catalytic activity are discussed.
| MATERIALS AND METHODS |
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Recombinant baculoviruses encoding S1 fragments were prepared by conventional methods. Sf9 cells were coinfected with virus encoding the S1 heavy chain and a separate virus encoding for both the smooth muscle myosin essential and regulatory light chains (13
). Sf9 cell growth medium was supplemented with 0.2 mg/ml biotin. Sf9 cells were harvested 3 days after infection and sonicated in a buffer containing 0.3 M NaCl, 1 mM EGTA, 10 mM sodium phosphate (pH 7.4), 5 mM MgCl2, 7% sucrose, and 1 mM NaN3. The lysate was then clarified with 2 mM MgATP present and applied to an anti-FLAG affinity column (M2 Antibody, Sigma-Aldrich Chemical, St. Louis, MO). Once washed, the protein was eluted using a large molar excess of FLAG peptide (0.1 mg/ml), and peak fractions were pooled.
Transient kinetics
Kinetic experiments were performed in 10 mM HEPES, pH 7.0, 0.1 M NaCl, 5 mM MgCl2, 1 mM EGTA, 1 mM NaN3, and 1 mM DTT and at 20°C unless noted otherwise. Nucleotide stocks were prepared with an equimolar amount of magnesium. The rate of ADP release from actoS1 was measured by mixing an actoS1·ADP complex (0.8 µM actin, 0.6 µM S1, 100 µM MgADP) with 2 mM MgATP in a Kin-Tek SF-2002 stopped-flow spectrophotometer. The rate of dissociation of actoS1 (0.7 µM actin, 0.5 µM S1) by MgATP was measured by mixing actoS1 with varying concentrations of MgATP. For both experiments, excitation was at 295 nm (10-nm slit width), and emission was monitored using a 295-nm interference filter. Data from at least four independent mixings were averaged together for each condition before the data were fitted to an exponential, using Kin-Tek software.
Standard laser trap assay buffers
The assay buffer used contained 25 mM KCl; 1 mM EGTA; 10 mM DTT; 4 mM MgCl2; 0.25 µg ml1 glucose oxidase; 45 µg ml1 catalase; 5.75 µg ml1 glucose; and 25 mM imidazole, pH 7.4. The buffer was supplemented with ATP to the concentration stated in each experiment. All experiments were performed at
20°C.
Laser trap and actin velocity measurements
The laser trap assay was conducted using the experimental setup described previously (14
). To construct the three-bead assay, silica beads (1 µm diameter, Bangs Laboratories, Fishers, IN) were coated with N-ethylmaleimide (NEM)-myosin by incubating overnight at room temperature in 1.4 mg/ml NEM-myosin solution. Flow cells were constructed as outlined previously (14
,15
). Solutions were added to the flow cell in the following order: 1), 20 µl of 10 mg ml1 neutravidin (Invitrogen, Carlsbad, CA) for 1 min; 2), 20 µl S1-biotin-myosin (between 0.01 and 0.1µg ml1 to ensure that only a single myosin molecule interacts with the actin filament) for 1 min; 3), 100 µl 0.5 mg ml1 bovine serum albumin for >4 min; 4), 100 µl assay buffer; 5), 10 µl NEM-myosin-coated beads, tetramethylrhodamine isothiocyanate phalloidin-labeled actin in assay buffer. Two traps were created, and a single NEM-myosin coated silica bead was captured in each trap. With actin filaments floating in solution, the microscope stage was then maneuvered so that the free ends of the actin filament were attached to the beads within the traps. The actin was then pretensioned to at least 4 pN by adjusting the separation between traps. This bead-actin-bead assembly was lowered onto a bead that was fixed to the flow cell surface and sparsely coated with S1-biotin-myosin (Fig. 2 a).
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High-resolution actin filament velocity measurements were made in the laser trap using the three-bead assay described above but at saturating myosin surface density (100 µg ml1) (19
). In addition a load-clamp of 1 pN was applied to stabilize the feedback; this load was considered insignificant given its distribution over all of the attached myosin molecules (estimated to be
50 motors (20
)). Actin filament velocity measured for WT used the conventional in vitro motility assay (21
) at 1 mM ATP with 100 µg ml1 WT S1 applied to the same surface coatings as described above for the laser trap assay.
Load clamp
To apply a constant load (i.e., load clamp) to the attached myosin molecule, we took advantage of the laser trap's spring-like characteristics and thus set and maintained the bead-actin-bead assembly at a fixed position relative to the right laser trap center. This was achieved through computer control of an acoustooptic deflector that set the laser beam position with microsecond resolution. The algorithm that created the load clamp required calibration of the quadrant photodiode position detector (QD) and trap stiffnesses. These calibrations were performed once the bead-actin-bead assembly was formed and lowered to a depth within the flow cell at which the experimental measurements were to occur. First, we determined the response of the QD to bead displacement. We then measured the combined stiffness of both traps, ktrap (nm/pN), which were linked through the taut bead-actin-bead assembly. From the equipartition relation, ktrap can be related to the bead position variance,
2, as follows:
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b is Boltzmann's constant and T is temperature in Kelvin. Working within the predetermined linear range of the QD, we applied a desired load to the attached myosin molecule by imposing a displacement offset to the right trap position. The size of the offset was given by
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Rapid event detection and load-clamp application
To assess the effects of load on the kinetics of nucleotide release and binding, we developed a technique for imposing a load clamp after the rapid detection of myosin binding to the actin filament. Therefore, an
50-nm 1-kHz oscillation was applied to the left bead of a bead-actin-bead assembly. To achieve these oscillations it was necessary to oscillate the laser trap with an amplitude of
200 nm at 1 kHz because the corner frequency of a trapped bead in solution is
300 Hz. This oscillation is then transmitted to the right bead through the actin filament (Fig. 2 a). On myosin attachment to actin, the amplitude of the right bead's oscillations decreased because of myosin shunting the transmission of the oscillation (Fig. 2 b). The output from the right QD was split: one output was recorded directly, and the second was modified using a custom-designed circuit before being passed to the control computer. The custom circuit used a band-pass filter for frequencies at 1 kHz ± 50 Hz and then rectified the output at this frequency with an RMS filter, creating a DC voltage output corresponding directly to the amplitude of the signal at 1 kHz. This signal was passed to the control computer, and when the RMS amplitude at 1 kHz dropped below a tunable threshold for >10 ms, the oscillations were turned off, and then the left bead moved toward the myosin (<250 nm), slacking any tension in the actin to the left of the cross-bridge. At this time the load clamp (described above) was engaged for the right bead unless deliberately delayed by a user input for experimental purposes (see below). In addition, the position of the left trap was "slaved" to that of the right so that any movement of the right trap was matched by the left. This maintained a slackened actin filament to the left of the attached cross-bridge.
When the myosin molecule detaches, there is no resistance offered to the load clamp, sending the bead-actin-bead assembly off to a predetermined stop within the linear range of the QD. At this point the software waits 100 ms before disengaging the load clamp, repositioning the bead-actin-bead assembly, and resuming the 1-kHz left trap oscillation.
Load-dependent myosin kinetics: protocol and analytical analysis
Based on previous studies (15
,22
), only two attached myosin states can be probed in the laser trap, one in which ADP is bound to the active site (AMD) and the ATP-free rigor state (AM) (Fig. 1 a). At saturating ATP concentrations, the smooth muscle myosin attached lifetime, which is rate-limited by ADP release, is
3060 ms (see Results). Therefore, having the ability to apply a load within 10 ms of myosin's attachment to actin or to delay its application in a user-defined manner should allow us to probe the load-dependent kinetics of ADP release and ATP binding to the active site.
To characterize the effect of load on the ADP release rate, ideally one would work at saturating ATP concentrations to effectively eliminate the AM state. However, our actin-bead attachment strategy, using NEM-modified myosin, is labile at high ATP concentration and high forces. Therefore, we performed our studies at 10 µM ATP. However, at this ATP concentration both the AMD and AM states contribute almost equally to the attached lifetime (15
). Therefore, we devised the following experimental and analytical approach to extract the load dependence of both the ADP-release and ATP-binding rates.
For ATP binding, we performed experiments at 1 µM ATP to prolong the lifetime of the AM state. Then, when the load clamp was applied 200 ms after detection of a myosin-binding event, there was >95% probability that ADP had been released from the active site so that the load was being applied only to the AM state (assuming an ADP-bound lifetime of 60 ms). This protocol resulted in detachment rate data (see Fig. 7 a, squares).
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During these studies, load-clamp data were taken as pairs for each actin filament. Because of our experimental configuration, the force clamp was applied only to the bead in the right trap. Therefore, data were first collected with the actin filament in its initial orientation, and then the filament was lifted from the surface, rotated 180° about its center, and then reapplied to the same S1-myosin-coated bead or another bead on the surface. This resulted in loads being applied in both the assistive and resistive regimes relative to the direction of the myosin power stroke. We then assumed that the actin orientation that resulted in longer myosin attachment lifetimes represented an actin polarity for which the applied loads were resistive. To confirm the directionality of the applied load relative to the actin filament polarity, in a limited set of experiments we fluorescently labeled actin filaments at their minus-end with Alexa-660 (23
) and determined that longer attached lifetimes were associated with resistive loads (data not shown).
| RESULTS |
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d/ton, where d is the myosin power stroke displacement and 1/ton is myosin's detachment rate from actin after the power stroke. A reduction in d and/or 1/ton may account for the mutant's slow velocity. The unitary step size (d) measured in the laser trap was 4.4 ± 0.6 nm (n = 232 steps; Fig. 4 b), equal to that of WT (14
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![]() | (1) |
Based on the fit, we obtained estimates of kADP (0.16 ± 0.02 s1) and k+ATP (4.4 ± 2.5 x 103 M1s1),
100 times slower than WT heavy meromyosin (15
). Values for ADP release (
0.064 s1) and for ATP binding (6.3 ± 0.3 x 104 M1s1) for the mutant were also obtained in the stopped flow (Fig. 6). As with the laser trap data, these values are significantly slower than those obtained with WT S1 (ADP release
32 s1 and ATP binding = 1.27 ± 0.02 x 106 M1s1; Fig. 6). The values obtained by stopped-flow kinetics are not identical to those obtained in the laser trap, but they do follow the same trend. Discrepancies may be caused in part by the slight load imposed by the trap.
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When load was applied to the WT construct in the AM state (i.e., 1 µM ATP, 200-ms delay), the ATP-induced detachment rate was only slightly affected, varying 2.5-fold over the ±2.5 pN range of loads (Fig. 7 a, squares). By contrast, when load was applied 10 ms after the power stroke in 10 µM ATP so that both the ADP-release and ATP-binding rates were probed, a greater load dependence was observed (Fig. 7 a, triangles). This increased sensitivity reflects the 30-fold modulation of kADP by which assistive loads accelerate and resistive loads slow the ADP release rate (Fig. 7 b).
The load dependences for both the ADP-release and ATP-binding rates (Figs. 7, a and b) were fitted to a modified Arrhenius/Eyring equation (24
):
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t is the distance to the transition state, F is load,
B is the Boltzmann constant, and T is temperature in Kelvin. For the ATP-binding rate at 1 µM ATP (Fig. 7 a, squares), this relation yields a ko = 1.3 s1 and a
t = 0.9 nm. With this ko, a k+ATP of 1.3 x 106 M1s1 is estimated, which is nearly identical to that obtained in the stopped flow (see above). For the load dependence of kADP (Fig. 7 b), ko = 18 s1, and
t = 2.6 nm, confirming the results of a previous study (25
Load accelerates ATP binding to the G709V mutant S1
Because the G709V mutation significantly slows kADP and k+ATP, one might also anticipate potential changes to the load dependence for these kinetic processes. From Fig. 5 at 10 µM ATP, the mutant's unloaded detachment rate was 0.04 s1 (i.e., 1/ton = 1/(27 s)). At this ATP concentration, the mutant spends most of its lifetime (
23 s) in rigor waiting for ATP to bind (i.e., 1/(4.4 x 103 M1s1 x 10 µM ATP)). Therefore, the load dependence of the detachment rate should be dominated by the load dependence for ATP binding, as illustrated by the calculated data in Fig. 7 c (open squares). This relation was generated by assuming that the mutant possessed the same load dependencies as WT for kADP (
t = 2.6 nm) and k+ATP (
t = 0.9 nm) but that the unloaded ADP-release and ATP-binding rates were as measured for the mutant in the laser trap (Fig. 5; 0.16 s1 and 4.4 x 103 M1s1, respectively).
The actual experimental data (Fig. 7 c, triangles), however, resulted in detachment rates that were
10-fold faster than predicted and strongly load dependent. Interestingly, when fit to the Arrhenius/Eyring equation the 0.4 s1 detachment rate at zero load, ko, is similar to the unloaded kADP value of 0.16 s1 measured in the trap (Fig. 5). In addition, the sensitivity to load, characterized by the distance parameter,
t = 2.6 nm, is identical to that of WT kADP (see above). Thus, the mutant's load-dependent detachment rate may reflect the kinetics of ADP release rather than ATP binding. If this is true, then the applied load may have accelerated the ATP-binding rate of the mutant.
To confirm or refute this idea, we measured the detachment rate at 1 µM ATP, where the predicted detachment rate would be 0.004 s1, once again dominated by k+ATP. For this experiment only the laser trap position oscillation, used to detect myosin-binding events, was imposed. The load presented by the oscillation (<1.5 pN) was sufficient to increase the detachment rate to 0.09 s1 (Fig. 8), confirming that load accelerated the ATP-binding rate by
20-fold toward WT values.
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| DISCUSSION |
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The mutant G709V motor translocates actin (Vactin = 0.8 nm·s1) two orders of magnitude more slowly than WT. Because Vactin
d/ton and the measured d = 4.4 nm, similar to the WT, the detachment rate (1/ton) is estimated to be 0.18 s1. This value agrees quite well with the value of kADP obtained both in the stopped flow and laser trap (0.060.16 s1) and suggests that the slowed Vactin of the mutant is limited by a significantly slowed kADP. A similar conclusion was reached when the G709 residue was mutated to an Ala in both skeletal (7
) and Dictyostelium myosin II (29
). However, when the identical G709V mutation was introduced to the Dictyostelium myosin II, the slowed Vactin was assigned to a significantly slowed Pi release rate (9
). The differential effects of a Gly-to-Val versus a Gly-to-Ala substitution in Dictyostelium myosin suggest that small environmental changes around the SH helix can have dramatic effects, which may account for the rate-limiting steps for Vactin in the G709V smooth muscle myosin mutant being different from that in Dictyostelium.
The rate of ATP binding to G709V S1 was also slowed by two orders of magnitude compared to WT, as determined in both the stopped flow and laser trap under nearly unloaded conditions. By hypothesizing that G709 lies within the communication pathway between the lever arm and active site, we then investigated how the sensitivity of kADP and k+ATP to load might be altered by the mutation.
Load dependence of kADP and k+ATP for smooth muscle myosin S1
For the WT myosin S1 construct, kADP was more sensitive to load than k+ATP (Fig. 7, a and b), in agreement with a similar study by Veigel et al. (25
). kADP is accelerated when the applied load is in the direction of the myosin power stroke (i.e., assistive), whereas a resistive load slows this rate. This directional sensitivity can be interpreted as load affecting the height of the activation barrier for the transition between the AMD and AM states, with resistive loads increasing and assistive loads decreasing the height of the barrier. In addition, the fit of the load dependence for kADP to the modified Arrhenius/Eyring relation (Fig. 7 b; Eq. 2) defines a distance parameter
t of 2.6 nm, representing the distance myosin moves actin to reach the transition state during ADP release. Based on structural, biochemical, and biophysical measurements, ADP release in smooth muscle myosin is associated with an additional 23.5 nm displacement at the end of the lever arm (25
,30
,31
). Because this additional displacement is equal to the
t reported here, it appears that smooth muscle myosin's ADP release involves a concomitant structural change within the active site that is transmitted to the lever arm. Additionally, the rate of this transition is sensitive to both the amplitude and the direction of the applied load, a phenomenon also observed in smooth muscle tissue (32
).
The load dependence of kADP may provide both a molecular explanation for both the Fenn effect (1
) and the hyperbolic dependence of shortening velocity on load (33
). In both cases, resistive loads would slow myosin's ATPase rate and shortening velocity through the load-induced slowing of kADP. In addition, one of the earliest muscle models (34
) proposed that myosin detachment kinetics depend on strain, such that a negatively strained myosin cross-bridge (i.e., one experiencing assistive forces) would rapidly detach. This effectively reduces the "drag" on a moving actin filament by attached heads that have undergone their power stroke and are no longer generating motion. This may be explained by the increased kADP associated with assistive loads (Fig. 7 b).
The load dependence of kADP is similar to that recently observed for myosin V (35
), which may allow this processive double-headed motor to take multiple steps without diffusing away from its actin track. Intramolecular strain between the heads may keep them kinetically out of phase so that one head remains attached to the actin track at all times (35
42
). This coordination between heads could result from the effects of load on the lead and trailing heads, such that assistive and resistive loads gate the release of ADP differentially from each head.
Load dependence of kADP for the G709V mutant
Although the G709V mutation slows kADP by two orders of magnitude under unloaded conditions compared to the WT (Fig. 5), the load sensitivity of this transition is unaffected; i.e., the distance parameter,
t = 2.6 nm, is equal to WT (Fig. 7, b versus c, triangles). Therefore, this residue is unlikely to be a force sensor. In fact, one can question whether a load sensor exists per se, or is the active site effectively coupled directly to the lever arm such that the entire communication pathway functions as a sensor? The significantly slowed kADP does suggest that the mutation by itself raises the activation barrier for ADP release. A Gly-to-Val mutation introduces a small branched side chain into a region previously occupied by a hydrogen atom, so that the side chain may sterically block the conformational transition required for ADP release. Furthermore, because valine cannot occupy regions of Ramachandran space that glycine can, the motion of this residue may be restricted. At a minimum, the mutant data suggest that a conformational rearrangement involving G709 is directly coupled to ADP release.
Load-dependent acceleration of ATP binding and kinetics of the G709V mutant
As with kADP, the G709V mutation slows k+ATP by two orders of magnitude under unloaded conditions, and with such a significant slowing of the ATP-binding rate, the load dependence of the mutant should have been dominated by this kinetic step. However, over the range of applied loads, the mutant's detachment rate was faster than predicted with an observed load dependence (
t = 2.6 nm) and detachment rate at zero force (0.4 s1) reflecting the mutant's kADP (Fig. 7 c). To account for this acceleration, the ATP-binding rate must have been accelerated by at least 20-fold (Fig. 8). Thus, load partially reversed the mutant's phenotype associated with ATP binding but not ADP release. In a previous study, the Dictyostelium G709V mutant phenotype was found to be thermally reversible, such that a 17°C temperature increase partially restored the mutant's actin-activated ATPase toward WT (10
). The thermal energy corresponding to this temperature change (0.2 pN·nm) is far less than the mechanical energy imparted by the laser trap in our study (i.e., (2 pN x 2.6 nm) = 5.2 pN·nm). Therefore, the observation that load partially restored the WT kinetics for ATP binding should not have come as a surprise.
Because the binding of ATP to the AM state occurs after ADP release, the slowed ATP-binding rate for the mutant and its acceleration by load suggest that a second conformational transition around Gly709 must occur after ADP release so that the active site is competent to bind ATP. This AM* state may normally exist, but its transition to the AM state (AM*
AM) may be so rapid that AM* is only transiently populated in the WT. However, for the mutant this state may be populated, and with its inability to bind ATP, k+ATP is effectively slowed. Apparently, mechanical energy in the form of an applied load can depopulate this putative AM* state in the mutant and partially reverse the mutant phenotype.
| CONCLUSIONS |
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Through understanding such physical/structural processes that underlie biochemical transitions within a protein, it may be possible to physically manipulate and thus modulate the kinetic properties of any enzyme, even those not normally associated with mechanical function.
| ACKNOWLEDGEMENTS |
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This work was funded by grants from the National Institutes of Health HL38113 (K.M.T.), HL059408, HL085489 (D.M.W.), and AR47906 (K.M.T. and D.M.W.).
| FOOTNOTES |
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Submitted on September 19, 2006; accepted for publication November 14, 2006.
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