Probing Muscle Myosin Motor Action: X-Ray (M3 and M6) Interference Measurements Report Motor Domain Not Lever Arm Movement

The key question in understanding how force and movement are produced in muscle concerns the nature of the cyclic interaction of myosin molecules with actin filaments. The lever arm of the globular head of each myosin molecule is thought in some way to swing axially on the actin-attached motor domain, thus propelling the actin filament past the myosin filament. Recent X-ray diffraction studies of vertebrate muscle, especially those involving the analysis of interference effects between myosin head arrays in the two halves of the thick filaments, have been claimed to prove that the lever arm moves at the same time as the sliding of actin and myosin filaments in response to muscle length or force steps. It was suggested that the sliding of myosin and actin filaments, the level of force produced and the lever arm angle are all directly coupled and that other models of lever arm movement will not fit the X-ray data. Here, we show that, in addition to interference across the A-band, which must be occurring, the observed meridional M3 and M6 X-ray intensity changes can all be explained very well by the changing diffraction effects during filament sliding caused by heads stereospecifically attached to actin moving axially relative to a population of detached or non-stereospecifically attached heads that remain fixed in position relative to the myosin filament backbone. Crucially, and contrary to previous interpretations, the X-ray interference results provide little direct information about the position of the myosin head lever arm; they are, in fact, reporting relative motor domain movements. The implications of the new interpretation are briefly assessed.     

Crossbridge and tropomyosin positions observed in native, interacting thick and thin filaments

Tropomyosin movements on thin filaments are thought to sterically regulate muscle contraction, but have not been visualized during active filament sliding. In addition, although 3-D visualization of myosin crossbridges has been possible in rigor, it has been difficult for thick filaments actively interacting with thin filaments. In the current study, using three-dimensional reconstruction of electron micrographs of interacting filaments, we have been able to resolve not only tropomyosin, but also the docking sites for weak and strongly bound crossbridges on thin filaments. In relaxing conditions, tropomyosin was observed on the outer domain of actin, and thin filament interactions with thick filaments were rare. In contracting conditions, tropomyosin had moved to the inner domain of actin, and extra density, reflecting weakly bound, cycling myosin heads, was also detected, on the extreme periphery of actin. In rigor conditions, tropomyosin had moved further on to the inner domain of actin, and strongly bound myosin heads were now observed over the junction of the inner and outer domains. We conclude (1) that tropomyosin movements consistent with the steric model of muscle contraction occur in interacting thick and thin filaments, (2) that myosin-induced movement of tropomyosin in activated filaments requires strongly bound crossbridges, and (3) that crossbridges are bound to the periphery of actin, at a site distinct from the strong myosin binding site, at an early stage of the crossbridge cycle.     

Electron Tomography of Cryofixed,Isometrically Contracting Insect Flight Muscle Reveals Novel Actin-Myosin Interactions

Background

Isometric muscle contraction, where force is generated without muscle shortening, is a molecular traffic jam in which the number of actin-attached motors is maximized and all states of motor action are trapped with consequently high heterogeneity. This heterogeneity is a major limitation to deciphering myosin conformational changes in situ.

Methodology

We used multivariate data analysis to group repeat segments in electron tomograms of isometrically contracting insect flight muscle, mechanically monitored, rapidly frozen, freeze substituted, and thin sectioned. Improved resolution reveals the helical arrangement of F-actin subunits in the thin filament enabling an atomic model to be built into the thin filament density independent of the myosin. Actin-myosin attachments can now be assigned as weak or strong by their motor domain orientation relative to actin. Myosin attachments were quantified everywhere along the thin filament including troponin. Strong binding myosin attachments are found on only four F-actin subunits, the “target zone”, situated exactly midway between successive troponin complexes. They show an axial lever arm range of 77°/12.9 nm. The lever arm azimuthal range of strong binding attachments has a highly skewed, 127° range compared with X-ray crystallographic structures. Two types of weak actin attachments are described. One type, found exclusively in the target zone, appears to represent pre-working-stroke intermediates. The other, which contacts tropomyosin rather than actin, is positioned M-ward of the target zone, i.e. the position toward which thin filaments slide during shortening.

Conclusion

We present a model for the weak to strong transition in the myosin ATPase cycle that incorporates azimuthal movements of the motor domain on actin. Stress/strain in the S2 domain may explain azimuthal lever arm changes in the strong binding attachments. The results support previous conclusions that the weak attachments preceding force generation are very different from strong binding attachments.     

Direct modeling of x-ray diffraction pattern from skeletal muscle in rigor

Available high-resolution structures of F-actin, myosin subfragment 1 (S1), and their complex, actin-S1, were used to calculate a 2D x-ray diffraction pattern from skeletal muscle in rigor. Actin sites occupied by myosin heads were chosen using a "principle of minimal elastic distortion energy" so that the 3D actin labeling pattern in the A-band of a sarcomere was determined by a single parameter. Computer calculations demonstrate that the total off-meridional intensity of a layer line does not depend on disorder of the filament lattice. The intensity of the first actin layer A1 line is independent of tilting of the "lever arm" region of the myosin heads. Myosin-based modulation of actin labeling pattern leads not only to the appearance of the myosin and "beating" actin-myosin layer lines in rigor diffraction patterns, but also to changes in the intensities of some actin layer lines compared to random labeling. Results of the modeling were compared to experimental data obtained from small bundles of rabbit muscle fibers. A good fit of the data was obtained without recourse to global parameter search. The approach developed here provides a background for quantitative interpretation of the x-ray diffraction data from contracting muscle and understanding structural changes underlying muscle contraction.     

Structure of insect fibrillar flight muscle in the presence and absence of ATP

Low-angle X-ray diffraction pictures were taken of Lethocerus flight muscle in one or other of its two inactive states, relaxation and rigor. They showed more detail than previous pictures and the parameters of the actin and myosin helices could be deduced from the spacings of the observed layer lines. Subunits consisting of actin monomers and of myosin heads were arranged on helices so as to conform to these parameters, and the diffraction patterns from these models were calculated. When these model systems resembled the structures observed in the electron microscope, the calculated diffraction patterns had layer Unes similar in radial distribution and relative intensity to those observed, with certain exceptions. The fit was quite critical, in that variation of the size and orientation of the subunits affected it considerably. The results support the idea that in rigor (i.e. without ATP) all of the myosin heads attach to actin monomers in a regular angled configuration. In contrast, on relaxation (i.e. on addition of ATP but no Ca²⁺) most or all of the myosin heads detach from the actin and are arranged with a specific symmetry around the myosin filament. It is not necessary, however, to assume that they change shape or move far from the actin filament in this process. Features of the X-ray diffraction pattern which remained unaccounted for by this model can be explained on the basis of an arrangement of actin helices on a further helix around a thick filament. Types of extended lattices containing actin helices in statistical axial or azimuthal positions are discussed.     

A model to account for the elastic element in muscle crossbridges in terms of a bending myosin rod

We advance a structural model to account for the rapid elastic element seen in mechanical transient experiments on vertebrate skeletal muscle (A.F. Huxley & Simmons 1971 Nature, Lond. 233, 533-538). In contrast to other crossbridge models, ours does not envisage a myosin rod made up of two rigid portions connected by a hinge, but rather a gradually bending rod portion connecting the heads to the thick filament shaft. We propose that, in relaxed muscle, the subfragment 2 (S2) portion of the myosin rod is bound to the thick filament shaft by ionic interactions analogous to those between the light meromyosin (LMM) portions of the rod that constitute the body of the shaft. These interactions probably involve the alternating zones of positive and negative charge seen in myosin rod amino acid sequences. As the crossbridge cycle that generates tension begins, we propose that part of S2 detaches from the thick filament shaft and bends to enable the myosin head to attach to actin. When tension develops in the crossbridge, the S2 is straightened and more of it becomes detached from the shaft so that the junction between S2 and the myosin heads moves 3-4 nm axially. As tension declines at the end of the crossbridge stroke, we propose that S2 rebinds to the thick filament shaft and that this provides the restoring force to return the junction of the heads and S2 to its original axial position. Thus this movement would have the characteristics of an elastic element; detailed calculations indicate that it would have properties similar to those observed experimentally. Furthermore, this model can account for the radial attractive force seen in rigor and in contracting muscle, the decrease in stiffness when interfilament spacing is increased in skinned muscle, and the increased rate of proteolysis observed at the S2-LMM junction in contracting muscle.     

Myosin head configuration in relaxed insect flight muscle: x-ray modeled resting cross-bridges in a pre-powerstroke state are poised for actin binding

Low-angle x-ray diffraction patterns from relaxed insect flight muscle recorded on the BioCAT beamline at the Argonne APS have been modeled to 6.5 nm resolution (R-factor 9.7%, 65 reflections) using the known myosin head atomic coordinates, a hinge between the motor (catalytic) domain and the light chain-binding (neck) region (lever arm), together with a simulated annealing procedure. The best head conformation angles around the hinge gave a head shape that was close to that typical of relaxed M*ADP*Pi heads, a head shape never before demonstrated in intact muscle. The best packing constrained the eight heads per crown within a compact crown shelf projecting at approximately 90 degrees to the filament axis. The two heads of each myosin molecule assume nonequivalent positions, one head projecting outward while the other curves round the thick filament surface to nose against the proximal neck of the projecting head of the neighboring molecule. The projecting heads immediately suggest a possible cross-bridge cycle. The relaxed projecting head, oriented almost as needed for actin attachment, will attach, then release Pi followed by ADP, as the lever arm with a purely axial change in tilt drives approximately 10 nm of actin filament sliding on the way to the nucleotide-free limit of its working stroke. The overall arrangement appears well designed to support precision cycling for the myogenic oscillatory mode of contraction with its enhanced stretch-activation response used in flight by insects equipped with asynchronous fibrillar flight muscles.     

High flexibility of the actomyosin crossbridge resides in skeletal muscle myosin subfragment-2 as demonstrated by a new single molecule assay

Popular views of force generation in muscle indicate that a lever arm in the myosin head initiates displacement of the thin filament. However, this lever arm is attached to the thick filament backbone by a flexible combination of coiled coils and hinges in the myosin subfragment-2 (S2); therefore, efficient force generation depends on tension development in this linking structure. Herein, a single molecule assay is developed to examine the flexibility of the intact S2 relative to that of the myosin head. Fluorescently labeled myosin rod is polymerized onto a single myosin molecule that is bound to actin, and the resulting Brownian motion of the rod is analyzed at video rates by digital image processing. Complete rotations of the rod suggest significant amounts of random coil in the linking structure. The close similarity of twist rates for double-headed and single-headed myosin indicates that most of the flexibility originates at or beyond the first pitch of coiled coil in S2 and most likely at the hinge connecting S2 and the light meromyosin. The myosin head has a smaller but still detectable impact on this flexibility, since the addition of ADP to the rigor crossbridge produces differential effects on the torsional characteristics of double-headed versus single-headed myosin.     

Cross-bridge action: present views, prospects, and unknowns

When the sliding filament hypothesis was proposed in 1953-1954, existing evidence showed that (1) contributions to tension were given by active sites uniformly distributed within each zone of filament overlap and (2) each site functioned cyclically. These sites were identified by electron microscopy as cross-bridges between the two filaments, formed of the heads of myosin molecules projecting from a thick filament and attaching to a thin filament. The angle of these cross-bridges was found to be different at rest and in rigor, suggesting that the event causing relative motion of the filaments was a change of the angle of the cross-bridges. At first, it seemed likely that the whole cross-bridge rotated about its attachment to actin, but when the atomic structures of actin and myosin were obtained by X-ray crystallography, a possible hinge was found between the "catalytic domain" which attaches to the actin filament and the "light-chain domain" which appears to act as a lever arm. Two attitudes of the lever arm are now well established, the transition between them being driven by a conformational change coupled to some step in the hydrolysis of ATP, but several recent observations suggest that this is not the whole story: a third attitude has been shown by X-ray crystallography; a non-muscle myosin has been shown to produce its working stroke in two steps; and there are suggestions that an additional displacement of the filaments is produced by a change in the attitude of the catalytic domain on the thin filament.     

Structure of the cross-striated adductor muscle of the scallop

The structure of the cross-striated adductor muscle of the scallop has been studied by electron microscopy and X-ray diffraction using living relaxed, glycerol-extracted (rigor), fixed and dried muscles. The thick filaments are arranged in a hexagonal lattice whose size varies with sarcomere length so as to maintain a constant lattice volume. In the overlap region there are approximately 12 thin filaments about each thick filament and these are arranged in a partially disordered lattice similar to that found in other invertebrate muscles, giving a thin-to-thick filament ratio in this region of 6:1.The thin filaments, which contain actin and tropomyosin, are about 1 μm long and the actin subunits are arranged on a helix of pitch 2 × 38.5 nm. The thick filaments, which contain myosin and paramyosin, are about 1.76 μm long and have a backbone diameter of about 21 nm. We propose that these filaments have a core of paramyosin about 6 nm in diameter, around which the myosin molecules pack. In living relaxed muscle, the projecting myosin heads are symmetrically arranged. The data are consistent with a six-stranded helix, each strand having a pitch of 290 nm. The projections along the strands each correspond to the heads of one or two myosin molecules and occur at alternating intervals of 13 and 16 nm. In rigor muscle these projections move away from the backbone and attach to the thin filaments.In both living and dried muscle, alternate planes of thick filaments are staggered longitudinally relative to each other by about 7.2 nm. This gives rise to a body-centred orthorhombic lattice with a unit cell twice the volume of the basic filament lattice.     

S2 domain gives myosin filaments some flexibility

JGP microscopy study supports the idea that the region linking myosin head and tail domains can be peeled away from filament backbone to prevent actin-attached heads from impeding filament movement.

Myosin II motors move along actin filaments by coupling cycles of ATP binding and hydrolysis to a repetitive process in which the myosin head domains attach to actin, undergo a conformational shift/powerstroke, and then detach. In muscle cells, myosin II molecules assemble into thick filaments containing hundreds of head domains, and any heads that remain attached to actin after completing their power stroke may impede the ability of other heads to move the filament and drive muscle contraction. In this issue of JGP, Brizendine et al. provide direct evidence that this potential drag on filament movement is limited by the flexibility of myosin II’s S2 subdomain (1).(Left to right) Richard Brizendine, Christine Cremo, and Murali Anuganti provide direct evidence that the S2 domain of myosin II is a flexible structure, which would allow it to prevent actin-attached heads from impeding the movement of myosin filaments. Quantum dots labeling a head domain (black) and the filament backbone (red) mostly follow the same trajectory as a filament moves in vitro. But, in rare instances (insets), an actin-attached head briefly lags the backbone’s trajectory before catching up, an event facilitated by the flexibility of the S2 region that connects the motor protein’s head and tail domains.For the past few years, Christine Cremo and colleagues at the University of Nevada, Reno, have been studying the kinetics of filament movement using fluorescently labeled myosin and actin filaments in vitro (2). Based on their data, Cremo’s team, in collaboration with Josh Baker, developed a mixed kinetic model that predicted a key mechanical function for the S2 subdomain of myosin II, which links the motor protein’s head domains to the C-terminal light meromyosin (LMM) domains that mediate filament assembly (3,4). According to the model, the flexibility of the S2 subdomain, and its ability to be peeled away from the filament backbone, provides some slack to actin-attached heads as the filament moves forward, giving them more time to detach before they impede the filament’s progress.“So now we wanted to see if we could directly observe this flexibility,” Cremo explains. To do this, two postdocs in Cremo’s laboratory, Richard Brizendine and Murali Anuganti, assembled smooth muscle myosin filaments labeled with two differently colored quantum dots, one attached to the LMM domain and the other attached to the head domain. Most of the time, these two labels should follow the same trajectory along actin filaments in vitro. If the S2 domain is flexible, however, it should be possible to occasionally observe an actin-attached head remain in place while the LMM domain continues moving forward. This brief “dwell” should then be followed by a “jump” as the head domain detaches from actin and catches up with the trajectory of the filament backbone.“We were looking for rare events in a sea of noise,” Cremo says, yet the researchers were able to identify dwells and jumps in the quantum dot trajectories consistent with the predicted flexibility of the S2 domain. The frequency and duration of these events fit the known kinetics of actomyosin motility.Based on their data, Brizendine et al. (1) estimate that, in smooth muscle, a myosin filament can move up to ∼52 nm without being impeded by an actin-attached head, a figure close to that predicted by the mixed kinetic model. To provide this flexibility, the researchers calculate that as much as 26 nm of the S2 domain can be unzipped from the filament backbone. Intriguingly, this matches the maximum length that S2 can be seen to project from thick filaments in tomograms of Drosophila flight muscle (5), and the forces generated by working myosin heads should be more than sufficient to achieve this unzipping.Many cardiomyopathy-associated mutations are located in the S2 region of myosin II. However, the mixed kinetic model predicts that, compared with smooth muscle, myosin filaments in cardiac and skeletal muscle cannot move quite as far without being impeded by actin-attached heads. “What leads to these differences?” Cremo wonders. “Are there differences in the biophysical behavior of the S2 domain in different muscle types?”     

Three-dimensional image reconstruction of insect flight muscle. I. The rigor myac layer

We have obtained detailed three-dimensional images of in situ cross-bridge structure in insect flight muscle by electron microscopy of multiple tilt views of single filament layers in ultrathin sections, supplemented with data from thick sections. In this report, we describe the images obtained of the myac layer, a 25-nm longitudinal section containing a single layer of alternating myosin and actin filaments. The reconstruction reveals averaged rigor cross-bridges that clearly separate into two classes constituting lead and rear chevrons within each 38.7-nm axial repeat. These two classes differ in tilt angle, size and shape, density, and slew. This new reconstruction confirms our earlier interpretation of the lead bridge as a two-headed cross-bridge and the rear bridge as a single-headed cross-bridge. The importance of complementing tilt series with additional projections outside the goniometer tilt range is demonstrated by comparison with our earlier myac layer reconstruction. Incorporation of this additional data reveals new details of rigor cross-bridge structure in situ which include clear delineation of (a) a triangular shape for the lead bridge, (b) a smaller size for the rear bridge, and (c) density continuity across the thin filament in the lead bridge. Within actin's regular 38.7-nm helical repeat, local twist variations in the thin filament that correlate with the two cross-bridge classes persist in this new reconstruction. These observations show that in situ rigor cross-bridges are not uniform, and suggest three different myosin head conformations in rigor.     

Electron tomography of fast frozen, stretched rigor fibers reveals elastic distortions in the myosin crossbridges

As a first step toward freeze-trapping and 3-D modeling of the very rapid load-induced structural responses of active myosin heads, we explored the conformational range of longer lasting force-dependent changes in rigor crossbridges of insect flight muscle (IFM). Rigor IFM fibers were slam-frozen after ramp stretch (1000 ms) of 1-2% and freeze-substituted. Tomograms were calculated from tilt series of 30 nm longitudinal sections of Araldite-embedded fibers. Modified procedures of alignment and correspondence analysis grouped self-similar crossbridge forms into 16 class averages with 4.5 nm resolution, revealing actin protomers and myosin S2 segments of some crossbridges for the first time in muscle thin sections. Acto-S1 atomic models manually fitted to crossbridge density required a range of lever arm adjustments to match variably distorted rigor crossbridges. Some lever arms were unchanged compared with low tension rigor, while others were bent and displaced M-ward by up to 4.5 nm. The average displacement was 1.6 +/- 1.0 nm. "Map back" images that replaced each unaveraged 39 nm crossbridge motif by its class average showed an ordered mix of distorted and unaltered crossbridges distributed along the 116 nm repeat that reflects differences in rigor myosin head loading even before stretch.     

Tomographic 3D reconstruction of quick-frozen, Ca2+-activated contracting insect flight muscle

Motor actions of myosin were directly visualized by electron tomography of insect flight muscle quick-frozen during contraction. In 3D images, active cross-bridges are usually single myosin heads, bound preferentially to actin target zones sited midway between troponins. Active attached bridges (approximately 30% of all heads) depart markedly in axial and azimuthal angles from Rayment's rigor acto-S1 model, one-third requiring motor domain (MD) tilting on actin, and two-thirds keeping rigor contact with actin while the light chain domain (LCD) tilts axially from approximately 105 degrees to approximately 70 degrees. The results suggest the MD tilts and slews on actin from weak to strong binding, followed by swinging of the LCD through an approximately 35 degrees axial angle, giving an approximately 13 nm interaction distance and an approximately 4-6 nm working stroke.     

Direct modeling of X-ray diffraction pattern from contracting skeletal muscle

A direct modeling approach was used to quantitatively interpret the two-dimensional x-ray diffraction patterns obtained from contracting mammalian skeletal muscle. The dependence of the calculated layer line intensities on the number of myosin heads bound to the thin filaments, on the conformation of these heads and on their mode of attachment to actin, was studied systematically. Results of modeling are compared to experimental data collected from permeabilized fibers from rabbit skeletal muscle contracting at 5°C and 30°C and developing low and high isometric tension, respectively. The results of the modeling show that: i), the intensity of the first actin layer line is independent of the tilt of the light chain domains of myosin heads and can be used as a measure of the fraction of myosin heads stereospecifically attached to actin; ii), during isometric contraction at near physiological temperature, the fraction of these heads is ∼40% and the light chain domains of the majority of them are more perpendicular to the filament axis than in rigor; and iii), at low temperature, when isometric tension is low, a majority of the attached myosin heads are bound to actin nonstereospecifically whereas at high temperature and tension they are bound stereospecifically.     

Electron tomography of swollen rigor fibers of insect flight muscle reveals a short and variably angled S2 domain

Subfragment 2 (S2), the segment that links the two myosin heads to the thick filament backbone, may serve as a swing-out adapter allowing crossbridge access to actin, as the elastic component of crossbridges and as part of a phosphorylation-regulated on-off switch for crossbridges in smooth muscle. Low-salt expansion increases interfilament spacing (from 52 nm to 67 nm) of rigor insect flight muscle fibers and exposes a tethering segment of S2 in many crossbridges. Docking an actoS1 atomic model into EM tomograms of swollen rigor fibers identifies in situ for the first time the location, length and angle assignable to a segment of S2. Correspondence analysis of 1831 38.7 nm crossbridge repeats grouped self-similar forms from which class averages could be computed. The full range of the variability in angles and lengths of exposed S2 was displayed by using class averages for atomic fittings of acto-S1, while S2 was modeled by fitting a length of coiled-coil to unaveraged individual repeats. This hybrid modeling shows that the average length of S2 tethers along the thick filament (except near the tapered ends) is approximately 10 nm, or 16% of S2's total length, with an angular range encompassing 90 degrees axially and 120 degrees azimuthally. The large range of S2 angles indicates that some rigor bridges produce positive force that must be balanced by others producing drag force. The short tethering segment clarifies constraints on the function of S2 in accommodating variable myosin head access to actin. We suggest that the short length of S2 may also favor intermolecular head-head interactions in IFM relaxed thick filaments.     

Tomographic Three-dimensional Reconstruction of Insect Flight Muscle Partially Relaxed by AMPPNP and Ethylene Glycol

Rigor insect flight muscle (IFM) can be relaxed without ATP by increasing ethylene glycol concentration in the presence of adenosine 5′-[β′γ- imido]triphosphate (AMPPNP). Fibers poised at a critical glycol concentration retain rigor stiffness but support no sustained tension (“glycol-stiff state”). This suggests that many crossbridges are weakly attached to actin, possibly at the beginning of the power stroke. Unaveraged three-dimensional tomograms of “glycol-stiff” sarcomeres show crossbridges large enough to contain only a single myosin head, originating from dense collars every 14.5 nm. Crossbridges with an average 90° axial angle contact actin midway between troponin subunits, which identifies the actin azimuth in each 38.7-nm period, in the same region as the actin target zone of the 45° angled rigor lead bridges. These 90° “target zone” bridges originate from the thick filament and approach actin at azimuthal angles similar to rigor lead bridges. Another class of glycol-PNP crossbridge binds outside the rigor actin target zone. These “nontarget zone” bridges display irregular forms and vary widely in axial and azimuthal attachment angles. Fitting the acto-myosin subfragment 1 atomic structure into the tomogram reveals that 90° target zone bridges share with rigor a similar contact interface with actin, while nontarget crossbridges have variable contact interfaces. This suggests that target zone bridges interact specifically with actin, while nontarget zone bridges may not. Target zone bridges constitute only ∼25% of the myosin heads, implying that both specific and nonspecific attachments contribute to the high stiffness. The 90° target zone bridges may represent a preforce attachment that produces force by rotation of the motor domain over actin, possibly independent of the regulatory domain movements. Force production by myosin heads during muscle contraction has long been modeled as a transition of attached crossbridges from a 90° to a 45° axial angle. Efforts to image crossbridge forms and angles intermediate between 90° heads in ATP-relaxed insect flight muscle (IFM)¹ and the 45° angled bridges in rigor have used nucleotide analogs such as adenosine 5′-[β′γ-imido] triphosphate (AMPPNP) in stable equilibrium states to drive the crossbridges backwards from the 45° angle in rigor to an attached 90° preforce form, otherwise similar to myosin heads in ATP-relaxed fibers (Reedy et al., 1988; Tregear et al., 1990). However, AMPPNP alone will not fully relax IFM, and crossbridges binding AMPPNP retain many rigor-like features (Schmitz et al., 1996; Winkler et al., 1996). On the other hand, AMPPNP in combination with ethylene glycol will relax IFM. When poised at a critical glycol concentration, muscle stiffness is as high as rigor, suggesting crossbridge attachment, but fibers will not bear sustained tension (Clarke et al., 1984; Tregear et al., 1984). Two-dimensional (2-D) analysis of electron micrographs showed that this stiff glycol-PNP state resembled ATP-relaxed fibers in having dense collars every 14.5 nm along the thick filament and thin crossbridges originating from these collars at various axial angles around 90°. However, unlike relaxed muscle, stiff glycol-PNP fibers showed both 90° angled bridges that were regularly spaced every 38.7 nm and more intensity on the 19.3-nm layer line in optical and x-ray diffraction patterns (Reedy et al., 1988; Tregear et al., 1990). Crossbridges in this partially relaxed, glycol-PNP state are important because they may represent the form of the initial attachment of myosin with bound nucleotide preceding force generation (Marston and Tregear, 1984; Tregear et al., 1984; Reedy et al., 1988). This putative preforce 90° crossbridge could not be characterized in 3-D because its variable form and lattice arrangement precluded imaging by averaging methods of 3-D reconstruction. Recently, nonaveraging tomographic methods have been developed and successfully applied to rigor and aqueous-PNP, facilitating characterization of variable crossbridge forms that occur in situ (Taylor and Winkler, 1995, 1996; Schmitz et al., 1996; Winkler and Taylor, 1996). IFM is superb for structural study because the symmetry and spatial arrangement of filaments results in paired crossbridges on opposite sides of the actin filament. This in turn has given rise to a unique shorthand terminology. The individual crossbridge forms are not unique to IFM, only their symmetrical placement about the thin filament. The filament arrangement also facilitates the microtomy of a type of thin section with coplanar filaments that provide views of the entire crossbridge. The best of these, the myac layer, is a 25-nm-thick longitudinal section containing alternating myosin and actin filaments. In rigor, the maximum number of myosin heads attach to actin, forming doublet pairs every 38.7 nm, the “double chevrons” (Reedy, 1968). “Lead bridges,” which form the pair proximal to the M-band, consist of both heads of a myosin molecule and show an overall axial angle of 45° (Taylor et al., 1984). “Rear bridges,” which form the pair proximal to the Z-disk, consist of a single myosin head angled closer to 90°. Crossbridges originate from the thick filament along helical tracks so the azimuths of their origins follow a regular pattern. Relative to the thin filament in the myac layer, the lead bridges originate from the left-front and back-right of the adjacent thick filaments, while rear bridges originate from the left-back and right-front. At their actin ends, the crossbridge attachments follow the changing rotation of the actin protomers along the actin helix. The combination of the azimuth of the origin and the azimuth of the crossbridge contact to actin define the azimuthal angle of the crossbridge.Target zone is the name given to the region of the thin filament where crossbridges bind (Reedy, 1968); by implication this is the region of the thin filament where actin monomers are most favorably placed for actomyosin interaction. In our previous 3-D reconstructions of rigor and aqueous-PNP (Schmitz et al., 1996; Winkler et al., 1996), it was recognized that troponin maintained a constant position with respect to the most regularly positioned crossbridges, the lead bridges, and could thus be used as a landmark to determine the actin dyad orientation in the lead bridge target zone. The most sterically favorable actin position for crossbridge binding in the IFM lattice is midway between troponin densities, where lead bridges bind. The strained structure of the rigor rear bridges suggests that they bind at the very edge of the target zone (Schmitz et al., 1996; Winkler et al., 1996). The target zone defined by lead bridges alone is narrower than target zones previously considered for rigor muscle (Reedy, 1968) because it does not include rear bridge targets. When aqueous AMPPNP was added to rigor IFM, the tension dropped by two thirds, but the stiffness remained as high as rigor. This initially suggested a reversal of the power stroke, but 3-D reconstructions revealed that the lead bridges remained attached, midway between troponin densities, at axial and azimuthal angles close to rigor. The drop in tension without a large change in axial angle seemed to contradict the lever arm hypothesis for motion producing force. However, a cause for the loss of tension was found in tomograms, which showed that rear bridges detached and were replaced by nonrigor bridges bound to actins outside of the rigor target zone, to sites not selected by crossbridges even under the high-affinity conditions of rigor. These nontarget bridges in aqueous-PNP had variable axial and azimuthal angles and appeared to bind actin with variable contact interfaces. This suggested that they were nonspecifically bound to actin. Moreover, their variable structure did not suggest how a simple axial angle change could convert them to a familiar form, such as an angled rigor bridge. However, an intriguing doublet crossbridge group with a consistent structure was recognized in aqueous-PNP. Immediately M-ward of the “lead” rigor-like bridge was a “nonrigor” bridge bound at a 90° or antirigor angle. In this doublet, called a mask motif, both lead and M-ward nonrigor bridge pairs had similar azimuths and contact interfaces with actin and bound within the lead bridge target zone. A simple angle change could convert the M-ward, nonrigor bridge in a mask motif to a single headed lead bridge. Thus, in the mask motif, the lead bridge could be at the end of the power stroke, with the M-ward, nonrigor bridge near the beginning. The pairing of rigor and antirigor angled crossbridges bound to the same target zone suggests that crossbridges might act as a relay during muscle contraction (Schmitz et al., 1996). The affinity of myosin for actin in aqueous-PNP is high compared with weak binding intermediates thought to represent the beginning of the power stroke (Green and Eisenberg, 1980; Biosca et al., 1990). Therefore, the M-ward crossbridge in the mask motif may not represent the best candidate for a preforce crossbridge. Thus, it is important to characterize crossbridge structure in a state with lower actomyosin affinity, such as the stiff glycol-PNP state, where earlier 2-D analysis indicated that weakly attached 90° bridges are prevalent (Reedy et al., 1988). In this work, we have used two spatially invariant features, troponin position and lead crossbridge origins, to identify distinct classes of crossbridges. The invariant position of troponin recognized in 3-D reconstructions allows us to identify the lead bridge target zone and the actin dyad orientation relative to the bound crossbridges. In addition, the “front-back” rule for the azimuth of the origins of the lead target zone bridges distinguishes crossbridges that bind actin with the correct azimuth for specific binding from those that bind nonspecifically. By fitting the myosin subfragment 1 (S1) atomic structure to the in situ bridges, we can compare the positions of the motor and regulatory domains. Previous results and models have introduced the idea that during a power stroke, the crossbridge rotates over the actin binding site while acting as a long, relatively rigid lever arm (Huxley and Simmons, 1971), while others propose that the motor domain position remains constant and light chain domain movements provide a shorter lever arm (Rayment et al., 1993b ; Whittaker et al., 1995). Our previous results (Reedy et al., 1987, 1988; Schmitz et al., 1996; Winkler et al., 1996) and the present work show (a) that regulatory domain position can vary significantly while motor domain position remains constant and (b) that the motor domain can bind actin with varying orientations. This work supports the possibility that both rotation of the motor domain on actin and movements of the regulatory domain could contribute to the power stroke.     

Orientation of the myosin light chain region by single molecule total internal reflection fluorescence polarization microscopy

To study the orientation and dynamics of myosin, we measured fluorescence polarization of single molecules and ensembles of myosin decorating actin filaments. Engineered chicken gizzard regulatory light chain (RLC), labeled with bisiodoacetamidorhodamine at cysteine residues 100 and 108 or 104 and 115, was exchanged for endogenous RLC in rabbit skeletal muscle HMM or S1. AEDANS-labeled actin, fully decorated with labeled myosin fragment or a ratio of approximately 1:1000 labeled:unlabeled myosin fragment, was adhered to a quartz slide. Eight polarized fluorescence intensities were combined with the actin orientation from the AEDANS fluorescence to determine the axial angle (relative to actin), the azimuthal angle (around actin), and RLC mobility on the <10 ms timescale. Order parameters of the orientation distributions from heavily labeled filaments agree well with comparable measurements in muscle fibers, verifying the technique. Experiments with HMM provide sufficient angular resolution to detect two orientations corresponding to the two heads in rigor. Experiments with S1 show a single orientation intermediate to the two seen for HMM. The angles measured for HMM are consistent with heads bound on adjacent actin monomers of a filament, under strain, similar to predictions based on ensemble measurements made on muscle fibers with electron microscopy and spectroscopic experiments.     

The "roll and lock" mechanism of force generation in muscle

Muscle force results from the interaction of the globular heads of myosin-II with actin filaments. We studied the structure-function relationship in the myosin motor in contracting muscle fibers by using temperature jumps or length steps combined with time-resolved, low-angle X-ray diffraction. Both perturbations induced simultaneous changes in the active muscle force and in the extent of labeling of the actin helix by stereo-specifically bound myosin heads at a constant total number of attached heads. The generally accepted hypothesis assumes that muscle force is generated solely by tilting of the lever arm, or the light chain domain of the myosin head, about its catalytic domain firmly bound to actin. Data obtained suggest an additional force-generating step: the "roll and lock" transition of catalytic domains of non-stereo-specifically attached heads to a stereo-specifically bound state. A model based on this scheme is described to quantitatively explain the data.     

Non-specific termination of simian virus 40 DNA replication.

Axial X-ray diffraction patterns have been studied from relaxed, contracted and rigor vertebrate striated muscles at different sarcomere lengths to determine which features of the patterns depend on the interaction of actin and myosin. The intensity of the myosin layer lines in a live, relaxed muscle is sometimes less in a stretched muscle than in the muscle at rest-length; the intensity depends not only on the sarcomere length but on the time that has elapsed since dissection of the muscle. The movement of cross-bridges giving rise to these intensity changes are not caused solely by the withdrawal of actin from the A-band.When a muscle contracts or passes into rigor many changes occur that are independent of the sarcomere length: the myosin layer lines decrease in intensity to about 30% of their initial value when the muscle contracts, and disappear completely when the muscle passes into rigor. Both in contracting and rigor muscles at all sarcomere lengths the spacings of the meridional reflections at 143 Å and 72 Å are 1% greater than from a live relaxed muscle at rest-length. It is deduced that the initial movement of cross-bridges from their positions in resting muscle does not depend on the interaction of each cross-bridge with actin, but on a conformational change in the backbone of the myosin filament: occurring as a result of activation. The possibility is discussed that the conformational change occurs because the myosin filament, like the actin filament, has an activation control mechanism. Finally, all the X-ray diffraction patterns are interpreted on a model in which the myosin filament can exist in one of two possible states: a relaxed state which gives a diffraction pattern with strong myosin layer lines and an axial spacing of 143.4 Å, and an activated state which gives no layer lines but a meridional spacing of 144.8 Å.