Stress does not alter the conformation of a domain of the myosin cross-bridge in rigor muscle fibres

Nanomolar ATP binding to single myosin cross-bridges in rigor: a molecular approach to studying myosin ATP kinetics using single human cardiomyocytes

Our knowledge in the field of cardiac muscle and associated cardiomyopathies has been evolving incrementally over the past 60 years and all was possible due to the parallel progress in techniques and methods allowing to take a fresh glimpse at an old problem. Here, we describe an exciting tool used to examine the various states of the human cardiac myosin at the single molecule level. By imaging single Alexa647-ATP binding to permeabilised cardiomyocytes using total internal reflection fluorescence (TIRF) microscopy, we are able to acquire large populations of events in a short timeframe (~ 5000 sites in ~ 10 min) and measure each binding event with high spatio-temporal resolution. The applied algorithm decomposes the point pattern of single molecule binding events into individually distinct binding sites that enables us to recover kinetic parameters, such as bound or free time per site. This single molecule binding approach is a useful tool used to examine muscle contractility. Of particular importance is its application to probing the dynamic lifetimes and proportion of myosins in the super-relaxed state in human cardiomyopathies.

Cross-bridge movement in muscle and the conformation of the myosin hinge

The force-generating mechanism in muscle is discussed and it is shown that a helix-coil transition in the S-2 link of the cycling cross-bridge is compatible with the physical and chemical properties of this region of the myosin molecule. Thermal melting and temperature-jump experiments are described demonstrating that the light meromyosin-heavy meromyosin (LMM-HMM) hinge domain of S-2 is a segment of low thermal stability. This region can undergo alpha-helix-random coil transitions on a time-scale comparable to the quick-recovery tension transient observed when isometrically contracting muscle is abruptly shortened or stretched. Cross-linking and enzyme probe studies of glycerinated muscle fibres and myofibrils in resting, rigor and activating solvents suggest that the polypeptide chains within the hinge region of S-2 undergo a conformational transition to a more open, proteolytically sensitive structure when the S-2 link is released from the thick filament surface.

Actin-Induced Changes in the Dynamics of Myosin Subfragment-1 Detected by Nuclear Magnetic Resonance

Analysis of high resolution 1H NMR spectra for myosin and myosin subfragment-1 (S-1) indicates that S-1 has an unusual structure, about 20% of which is mobile. The rest of the myosin molecule and F-actin are rigid by comparison. A wide variety of perturbations do not affect the S-1 internal mobility and suggest that the mobile structure is located in the interior of S-1. Actin binding uniquely quenches the internal motions entirely. The F and G forms have a similar effect. Nucleotide binding restores the internal motions under conditions known to cause dissociation of the acto-S-1 complex. A model of force generation by the actomyosin-nucleotide system, which incorporates this striking actin-induced change in S-1 structural dynamics, is proposed and discussed.

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.

The conformation of myosin head domains in rigor muscle determined by X-ray interference

In the absence of adenosine triphosphate, the head domains of myosin cross-bridges in muscle bind to actin filaments in a rigor conformation that is expected to mimic that following the working stroke during active contraction. We used x-ray interference between the two head arrays in opposite halves of each myosin filament to determine the rigor head conformation in single fibers from frog skeletal muscle. During isometric contraction (force T(0)), the interference effect splits the M3 x-ray reflection from the axial repeat of the heads into two peaks with relative intensity (higher angle/lower angle peak) 0.76. In demembranated fibers in rigor at low force (<0.05 T(0)), the relative intensity was 4.0, showing that the center of mass of the heads had moved 4.5 nm closer to the midpoint of the myosin filament. When rigor fibers were stretched, increasing the force to 0.55 T(0), the heads' center of mass moved back by 1.1-1.6 nm. These motions can be explained by tilting of the light chain domain of the head so that the mean angle between the Cys(707)-Lys(843) vector and the filament axis increases by approximately 36 degrees between isometric contraction and low-force rigor, and decreases by 7-10 degrees when the rigor fiber is stretched to 0.55 T(0).

Polarized fluorescence depletion reports orientation distribution and rotational dynamics of muscle cross-bridges

The method of polarized fluorescence depletion (PFD) has been applied to enhance the resolution of orientational distributions and dynamics obtained from fluorescence polarization (FP) experiments on ordered systems, particularly in muscle fibers. Previous FP data from single fluorescent probes were limited to the 2(nd)- and 4(th)-rank order parameters, <P(2)(cos beta)> and <P(4)(cos beta)>, of the probe angular distribution (beta) relative to the fiber axis and <P(2d)>, a coefficient describing the extent of rapid probe motions. We applied intense 12-micros polarized photoselection pulses to transiently populate the triplet state of rhodamine probes and measured the polarization of the ground-state depletion using a weak interrogation beam. PFD provides dynamic information describing the extent of motions on the time scale between the fluorescence lifetime (e.g., 4 ns) and the duration of the photoselection pulse and it potentially supplies information about the probe angular distribution corresponding to order parameters above rank 4. Gizzard myosin regulatory light chain (RLC) was labeled with the 6-isomer of iodoacetamidotetramethylrhodamine and exchanged into rabbit psoas muscle fibers. In active contraction, dynamic motions of the RLC on the PFD time scale were intermediate between those observed in relaxation and rigor. The results indicate that previously observed disorder of the light chain region in contraction can be ascribed principally to dynamic motions on the microsecond time scale.

Orientation changes of the myosin light chain domain during filament sliding in active and rigor muscle

Structural changes in myosin power many types of cell motility including muscle contraction. Tilting of the myosin light chain domain (LCD) seems to be the final step in transducing the energy of ATP hydrolysis, amplifying small structural changes near the ATP binding site into nanometer-scale motions of the filaments. Here we used polarized fluorescence measurements from bifunctional rhodamine probes attached at known orientations in the LCD to describe the distribution of orientations of the LCD in active contraction and rigor. We applied rapid length steps to perturb the orientations of the population of myosin heads that are attached to actin, and thereby characterized the motions of these force-bearing myosin heads. During active contraction, this population is a small fraction of the total. When the filaments slide in the shortening direction in active contraction, the long axis of LCD tilts towards its nucleotide-free orientation with no significant twisting around this axis. In contrast, filament sliding in rigor produces coordinated tilting and twisting motions.

Holding two heads together: stability of the myosin II rod measured by resonance energy transfer between the heads

Myosin, similar to many molecular motors, is a two-headed dimer held together by a coiled-coiled rod. The stability of the coiled coil has implications for head-head interactions, force generation, and possibly regulation. Here we used two different resonance energy transfer techniques to measure the distances between probes placed in the regulatory light chain of each head of a skeletal heavy meromyosin, near the head-rod junction (positions 2, 73, and 94). Our results indicate that the rod largely does not uncoil when myosin is free in solution, and at least beyond the first heptad, the subfragment 2 rod remains relatively intact even under the relatively large strain of two-headed myosin (rigor) binding to actin. We infer that uncoiling of the rod likely does not play a role in myosin II motility. To keep the head-rod junction intact, a distortion must occur within the myosin heads. This distortion may lead to different orientations of the light-chain domains within the myosin dimer when both heads are attached to actin, which would explain previously puzzling observations and require reinterpretation of others. In addition, by comparing resonance energy transfer techniques sensitive to different dynamical time scales, we find that the N terminus of the regulatory light chain is highly flexible, with possible implications for regulation. An intact rod may be a general property of molecular motors, because a similar conclusion has been reached recently for kinesin, although whether the rod remains intact will depend on the relative stiffness of the coiled coil and the head in different motors.

Backward movements of cross-bridges by application of stretch and by binding of MgADP to skeletal muscle fibers in the rigor state as studied by x-ray diffraction

The effects of the applied stretch and MgADP binding on the structure of the actomyosin cross-bridges in rabbit and/or frog skeletal muscle fibers in the rigor state have been investigated with improved resolution by x-ray diffraction using synchrotron radiation. The results showed a remarkable structural similarity between cross-bridge states induced by stretch and MgADP binding. The intensities of the 14.4- and 7.2-nm meridional reflections increased by approximately 23 and 47%, respectively, when 1 mM MgADP was added to the rigor rabbit muscle fibers in the presence of ATP-depletion backup system and an inhibitor for muscle adenylate kinase or by approximately 33 and 17%, respectively, when rigor frog muscle was stretched by approximately 4.5% of the initial muscle length. In addition, both MgADP binding and stretch induced a small but genuine intensity decrease in the region close to the meridian of the 5.9-nm layer line while retaining the intensity profile of its outer portion. No appreciable influence was observed in the intensities of the higher order meridional reflections of the 14.4-nm repeat and the other actin-based reflections as well as the equatorial reflections, indicating a lack of detachment of cross-bridges in both cases. The changes in the axial spacings of the actin-based and the 14.4-nm-based reflections were observed and associated with the tension change. These results indicate that stretch and ADP binding mediate similar structural changes, being in the correct direction to those expected for that the conformational changes are induced in the outer portion distant from the catalytic domain of attached cross-bridges. Modeling of conformational changes of the attached myosin head suggested a small but significant movement (about 10-20 degrees) in the light chain-binding domain of the head toward the M-line of the sarcomere. Both chemical (ADP binding) and mechanical (stretch) intervensions can reverse the contractile cycle by causing a backward movement of this domain of attached myosin heads in the rigor state.

Three-dimensional structure of Acanthamoeba castellanii myosin-IB (MIB) determined by cryoelectron microscopy of decorated actin filaments

The Acanthamoeba castellanii myosin-Is were the first unconventional myosins to be discovered, and the myosin-I class has since been found to be one of the more diverse and abundant classes of the myosin superfamily. We used two-dimensional (2D) crystallization on phospholipid monolayers and negative stain electron microscopy to calculate a projection map of a "classical" myosin-I, Acanthamoeba myosin-IB (MIB), at approximately 18 A resolution. Interpretation of the projection map suggests that the MIB molecules sit upright on the membrane. We also used cryoelectron microscopy and helical image analysis to determine the three-dimensional structure of actin filaments decorated with unphosphorylated (inactive) MIB. The catalytic domain is similar to that of other myosins, whereas the large carboxy-terminal tail domain differs greatly from brush border myosin-I (BBM-I), another member of the myosin-I class. These differences may be relevant to the distinct cellular functions of these two types of myosin-I. The catalytic domain of MIB also attaches to F-actin at a significantly different angle, approximately 10 degrees, than BBM-I. Finally, there is evidence that the tails of adjacent MIB molecules interact in both the 2D crystal and in the decorated actin filaments.

Myosin head orientation and mobility during isometric contraction: effects of osmotic compression

We have correlated the mobility and the generation of force of myosin heads by applying radial compression to isometrically contracting muscle fibers. Osmotic pressure was produced by dextran T-500, and its effect on the orientation and mobility of myosin heads labeled with N-(1-oxy-2,2,5,5-tetramethyl-4-pyperidinyl)maleimide was observed by conventional and saturation-transfer electron paramagnetic resonance methods. A biphasic behavior is spectral changes coinciding with the tension dependence was observed as the fibers were compressed. At diameters above the equilibrium spacing, the large myosin head disorder characteristic during contraction in the absence of compression was largely maintained, whereas the mobility decreased threefold, from tauR approximately 25 microseconds to approximately 80-90 microseconds. The inhibition of fast microsecond motions was not accompanied by tension loss, implying that these motions are not necessary for force generation. At diameters below the equilibrium spacing, both the disorder and the mobility decreased dramatically in parallel with the tension inhibition, suggesting that slower microsecond motions and the disorder of the myosin head are necessary for muscle function.

Method for the determination of myosin head orientation from EPR spectra

The determination of the iodoacetamide spin label orientation in myosin heads (Fajer, 1994) allows us for the first time to determine directly protein orientation from EPR spectra. Computational simulations have been used to determine the sensitivity of EPR to both torsional and tilting motions of myosin heads. For rigor heads (no nucleotide), we can detect 0.2 degree changes in the tilt angle and 4 degrees in the torsion of the head. Sensitivity decreases with increasing head disorder, but even in the presence of +/- 30 degrees disorder as expected for detached heads, 10 degree changes in the center of the orientational distribution can be detected. We have combined these numerical simulations with a Simplex optimization to compare the orientation of intrinsic heads, with the orientation of labeled extrinsic heads that have been infused into unlabeled muscle fibers. The near identity (within 2 degrees) of the orientational distribution in the two instances can be attributed to myosin elasticity taking up the mechanical strain induced by the mismatch of myosin and actin filament periodicity. A similar analysis of the spectra of fibers with ADP bound to myosin revealed a small (approximately 5 degrees-10 degrees) torsional reorientation, without a substantial change of the tilt angle (< 2 degrees).

Crossbridge rotation in EDC-crosslinked striated muscle fibers

The rotatability of the strong- and weak-binding myosin heads was tested by stretching glycerinated rabbit psoas fibers after crosslinking the heads to actin by using a carbodiimide EDC. The equatorial 1,1 reflection intensity (I1,1) decreased by approximately 10% upon 1% stretch in the presence of various ligands (ATP, ATP-gamma-S, pyrophosphate and AMPPNP). As the action of ligands to dissociate actomyosin increased, the relaxation of tension response to stretch and the I1,1 decrease were accelerated. This result is best explained if the ligand converts the crosslinked head to a weak-binding state, in which the head is rotatable because of its acquired elasticity. Conversely, the weak-to-strong transition was induced in the crosslinked system by removing a ligand (ATP-gamma-S) from myosin. Force was produced upon weak-to-strong transition and was accounted for by the increased stiffness of each crosslinked myosin head. However, the comparison of stress-strain curves for the weak- and strong-binding myosin showed that the equilibrium angle of myosin attachment was unchanged, making it unlikely that the weak-to-strong transition is the sole mechanism for active contraction. The calcium-activated force of the same crosslinked fibers showed several features in marked contrast to the force produced by the weak-to-strong transition. This leads to a possibility that the active force is supported by a third class of intermediate which is distinct not only from the weak-binding but also from the strong-binding intermediates in a classical sense.

Efficiency of muscle contraction. The chemimechanic equilibrium

Although muscle contraction is one of the principal themes of biological research, the exact mechanism whereby the chemical free energy of ATP hydrolysis is converted into mechanical work remains elusive. The high thermodynamic efficiency of the process, above all, is difficult to explain on the basis of present theories. A model of the elementary effect in muscle contraction is proposed which aims at high thermodynamic efficiency based on an approximate equilibrium between chemical and mechanical forces throughout the transfer of free energy. The experimental results described in the literature support the assumption that chemimechanic equilibrium is approximated by a free energy transfer system based on the binding of divalent metal ions to the myosin light chains. Muscle contraction demonstrated without light chains is expected to proceed with a considerably lower efficiency. Free energy transfer systems based on the binding of ions to proteins seem to be widespread in the cell. By establishing an approximate chemimechanic equilibrium, they could facilitate biological reactions considerably and save large amounts of free energy. The concept of chemimechanic equilibrium is seen as a supplementation to the concept of chemiosmotic equilibrium introduced for the membrane transport by P. Mitchell.

Orientation of spin-labeled light chain-2 exchanged onto myosin cross-bridges in glycerinated muscle fibers

Electron paramagnetic resonance (EPR) spectroscopy has been used to study the angular distribution of a spin label attached to rabbit skeletal muscle myosin light chain 2. A cysteine reactive spin label, 3-(5-fluoro-2,4-dinitroanilino)-2,2,5,5- tetramethyl-1-pyrrolidinyloxy (FDNA-SL) was bound to purified LC2. The labeled LC2 was exchanged into glycerinated muscle fibers and into myosin and its subfragments. Analysis of the spectra of labeled fibers in rigor showed that the probe was oriented with respect to the fiber axis, but that it was also undergoing restricted rotations. The motion of the probe could be modeled assuming rapid rotational diffusion (rotational correlation time faster than 5 ns) within a "cone" whose full width was 70 degrees. Very different spectra of rigor fibers were obtained with the fiber oriented parallel and perpendicular to the magnetic field, showing that the centroid of each cone had the same orientation for all myosin heads, making an angle of approximately 74 degrees to the fiber axis. Binding of light chains or labeled myosin subfragment-1 to ion exchange heads immobilized the probes, showing that most of the motion of the probe arose from protein mobility and not from mobility of the probe relative to the protein. Relaxed labeled fibers produced EPR spectra with a highly disordered angular distribution, consistent with myosin heads being detached from the thin filament and undergoing large angular motions. Addition of pyrophosphate, ADP, or an ATP analogue (AMPPNP), in low ionic strength buffer where these ligands do not dissociate cross-bridges from actin, failed to perturb the rigor spectrum. Applying static strains as high as 0.16 N/mm2 to the labeled rigor fibers also failed to change the orientation of the spin label. Labeled light chain was exchanged into myosin subfragment-1 (S1) and the labeled S1 was diffused into fibers. EPR spectra of these fibers had a component similar to that seen in the spectra of fibers into which labeled LC2 had been exchanged directly. However, the fraction of disordered probes was greater than seen in fibers. In summary, the above data indicate that the region of the myosin head proximal to the thick filament is ordered in rigor, and disordered in relaxation.

Sarcomere dynamics during isotonic velocity transients in single frog muscle fibers

If the load on a tetanized fiber is abruptly changed to a new steady value, the ensuing fiber length change shows the well-known "isotonic velocity transient," in which the velocity oscillates before settling at some steady value. We studied sarcomere dynamics during these transients using two methods: optical diffraction and a segment-length method. Our principal aim was to determine whether these transients might be a reflection of the fact that sarcomere shortening is often found to be stepwise. We found that pauses in sarcomere shortening occurred during the low-velocity phases of the transient and that steps of sarcomere shortening occurred during the high-velocity phases. Thus the isotonic transient appears to arise from the steps. In addition to the isotonic transient, we studied the well-known isometric transient, in which fiber length is abruptly changed, and ensuing tension response is measured. Again, we found that the transient may be a reflection of the stepwise shortening pattern.

Three-dimensional image reconstruction of insect flight muscle. II. The rigor actin layer

The averaged structure of rigor cross-bridges in insect flight muscle is further revealed by three-dimensional reconstruction from 25-nm sections containing a single layer of thin filaments. These exhibit two thin filament orientations that differ by 60 degrees from each other and from myac layer filaments. Data from multiple tilt views (to +/- 60 degrees) was supplemented by data from thick sections (equivalent to 90 degrees tilts). In combination with the reconstruction from the myac layer (Taylor et al., 1989), the entire unit cell is reconstructed, giving the most complete view of in situ cross-bridges yet obtained. All our reconstructions show two classes of averaged rigor cross-bridges. Lead bridges have a triangular shape with leading edge angled at approximately 45 degrees and trailing edge angled at approximately 90 degrees to the filament axis. We propose that the lead bridge contains two myosin heads of differing conformation bound along one strand of F-actin. The lead bridge is associated with a region of the thin filament that is apparently untwisted. We suggest that the untwisting may reflect the distribution of strain between myosin and actin resulting from two-headed, single filament binding in the lead bridge. Rear bridges are oriented at approximately 90 degrees to the filament axis, and are smaller and more cylindrical, suggesting that they consist of single myosin heads. The rear bridge is associated with a region of apparently normal thin filament twist. We propose that differing myosin head angles and conformations consistently observed in rigor embody different stages of the power stroke which have been trapped by a temporal sequence of rigor cross-bridge formation under the constraints of the intact filament lattice.

Orientation of spin-labeled nucleotides bound to myosin in glycerinated muscle fibers

Electron paramagnetic resonance (EPR) spectroscopy of paramagnetic derivatives of ATP has been used to probe the angular distribution of myosin in glycerinated muscle fibers. Three nucleotide spin labels have been prepared with the nitroxide free radical moiety attached, via an ester linkage to either: the 2' or 3' positions of the ribose unit of ATP (SL-ATP), the 2' position of 3' deoxy ATP (2'SL-dATP), or the 3' position of 2' deoxy ATP (3'SL-dATP). In muscle fibers, these nucleotides are quickly hydrolyzed to their diphosphate forms. All three diphosphate analogues bind to the nucleotide site of myosin with similar affinities: rabbit psoas fibers, 7 X 10(3)/M; insect flight muscle, 5 X 10(3)/M; and rabbit soleus muscle, 2 X 10(4)/M. Analysis of the spectra showed that the principal z-axis of the nitroxide attached to bound nucleotides was oriented with respect to the filament axis. The principal axes of 3'SL-dADP and 2'SL-dADP appeared to be preferentially aligned at mean angles of 67 degrees +/- 4 degrees and 55 degrees +/- 5 degrees, respectively. The distribution of probes about these angles can be described by Gaussians with widths of 16 degrees +/- 4 degrees and 13 degrees +/- 5 degrees, respectively. The spectrum of bound SL-ADP was a linear combination of the spectra of the two deoxy analogues. These orientations were the same in the three muscle types examined, indicating a high degree of homology in the nucleotide binding site. Applying static strains as high as 0.2 N/mm2 to muscle fibers caused no change in the orientation of myosin-bound, spin-labeled nucleotides. When muscle fibers were stretched to decrease actin and myosin filament overlap, bound SL-ADP produced EPR spectra indicative of probes with a highly disordered angular distribution. Sodium vanadate and SL-ATP caused fiber stiffness to decrease, and the EPR spectrum of the bound analogue indicated an increase in the fraction of disoriented probes with a concomitant decrease in the fraction of oriented probes. These findings indicate that when myosin is bound to actin its nucleotide site is highly oriented relative to the fiber axis, and when this interaction is removed the orientation of the nucleotide site becomes highly disordered.

The role of tropomyosin-troponin in the regulation of skeletal muscle contraction

Steric blocking of actin-myosin interaction by tropomyosin has been a working hypothesis in the study of the regulation of skeletal muscle contraction, yet the simple movement of actin-associated tropomyosin from a myosin-blocking position (relaxation) to a nonblocking position (contraction) cannot adequately account for all of the biophysical and biochemical observations which have been made to date. Ambiguous assignment of tropomyosin positions on actin during contraction, due in part to the limited resolution of reconstruction techniques, may also hint at a real lack of clearcut 'on' and 'off' positioning of tropomyosin and tropomyosin-troponin complex. Recent biochemical evidence suggests processes relatively independent of tropomyosin-troponin may have a governing effect on contraction, involving kinetic constraints on actin-myosin interaction influenced by the binding of ATP and the intermediates of ATP hydrolysis. Based on our current understanding put forth in this review, it is clear that regulatory interactions in muscle contraction do not consist solely of steric effects but involve kinetic factors as well. Where the latter are being defined in systems reconstituted from purified proteins and their fragments, the steric components of regulation are most clearly observed in studies of structurally more intact physiologic systems (e.g. intact or skinned whole muscle fibres). The fine detail of the processes and their interplay remains an intriguing question. Likewise, the precise physical relationship of myosin with actin in the crossbridge cycle continues to elude definition. Refinement of several methodologies (X-ray crystallography, three-dimensional reconstruction, time-resolved X-ray diffraction) will increase the potential for detailing the molecular basis of the regulation of muscle contraction.

Stiffness of carbodiimide-crosslinked glycerinated muscle fibres in rigor and relaxing solutions at high salt concentrations

In this article, we have applied a crosslinking technique with a water-soluble carbodiimide to single glycerol-extracted muscle fibres from the rabbit. We have measured the stiffness of the fibres in a relaxing solution at high salt concentration. These fibres were crosslinked to varying extents in the rigor state. The relaxing solution caused uncrosslinked crossbridge heads (S1) to detach. High salt concentrations were used because the fibres were not activated by the crosslinked crossbridges under these conditions, although they were at physiological ionic strength. We found a linear correlation between the extent of S1 crosslinking to thin filaments and the stiffness and that the stiffness in the relaxing solution of muscle fibres with all the S1 heads crosslinked to thin filaments was the same as the rigor stiffness of the fibres before crosslinking. We conclude that the sarcomere compliance is mostly a property of the crossbridges (with more than 65% of the crossbridge compliance in the S1 portions and less than 35% in the S2 portion) and little of other sarcomere structures. In an earlier paper [Kimura & Tawada, Biophys. J. 45, 603-10 (1984)], we demonstrated that the S2 portion of the crossbridge was stiff. It then follows that the crossbridge compliance, and thus the sarcomere compliance, is a property of the S1 heads. Assuming that the S1 portion of the crossbridges in rigor strained muscle fibres is bent, we calculated the Young's modulus of the S1 portion and found that it is about 10(2) MN m-2. Because this order of magnitude is reasonable in terms of globular protein elasticity, bending is likely to be the nature of the S1 compliance in rigor muscle fibres.

Saturation transfer electron paramagnetic resonance study of the mobility of myosin heads in myofibrils under conditions of partial dissociation

The rotational motion of rigidly spin-labeled myosin heads of glycerinated myofibrils as reflected in saturation-transfer EPR spectra behaves to a first approximation as though the heads consist of two populations with different rotational motions. An immobilized fraction has a correlation time (tau 2) of approximately 0.5 ms, comparable to that of spin-labeled subfragment-1 (S1) bound to thin filaments, while a mobile fraction has a tau 2 of 10 microseconds, comparable to that of the heads of purified myosin filaments. The effects of nonhydrolyzable ATP analogues, potassium pyrophosphate (PPi), or adenylyl imidodiphosphate, Ca2+, temperature, or ionic strength on the spectra can be analyzed in terms of the fraction of myosin heads immobilized by attachment to thin filaments, without requiring changes in the motion of either attached or detached heads.

The thermoelastic effect in rigor muscle of the frog

Small length changes were imposed on pairs of sartorius muscles from Rana temporaria and Rana pipiens in rigor and the mechanical and thermal responses studied. Rigor was induced by soaking the muscles overnight at 0 degrees C in a physiological salt solution containing 1.5 mM sodium azide and 0.4 mM sodium iodoacetate. Tension was measured at both the tibial and the pelvic ends of the preparation. Muscles were held at a steady tension of 20 to 76 kN m-2 and stretches or releases of 0.02 to 0.6 mm applied in pairs, with the initial change reversed several hundred milliseconds later. Single stretches resulted in heat absorption and releases in heat production by the preparation. Net heat production resulted from complete cycles of length changes larger than 0.1 mm, whether the initial change was a stretch or a release. The heat produced by the complete cycle was attributed to the movement of the muscles over the thermopile. It was proportional to the difference in tension between the tibial and pelvic ends of the preparation and increased with the size and speed of the length change. Half the heat produced by a complete cycle of length changes was subtracted from the thermal response recorded in the first half-cycle to obtain the reversible component of the response. The reversible component was linearly related to the tension change for all sizes and speeds of length change which were studied, with the heat:tension ratio ranging from -0.0093 to -0.0179 in eleven muscles (mean -0.0128 +/- 0.0009). The constancy of the heat:tension ratio in rigor muscles over a wide range of mechanical conditions indicates that the source of the thermal changes is the normal elasticity of the preparation. Since the size of the ratio is approximately the same as that measured in active muscles, the tension-dependent component of the thermal response to length changes applied to active muscles is probably also of elastic origin.

The mechanism of muscle contraction

Knowledge of the mechanism of contraction has been obtained from studies of the interaction of actin and myosin in solution, from an elucidation of the structure of muscle fibers, and from measurements of the mechanics and energetics of fiber contraction. Many of the states and the transition rates between them have been established for the hydrolysis of ATP by actin and myosin subfragments in solution. A major goal is to now understand how the kinetics of this interaction are altered when it occurs in the organized array of the myofibril. Early work on the structure of muscle suggested that changes in the orientation of myosin cross-bridges were responsible for the generation of force. More recently, fluorescent and paramagnetic probes attached to the cross-bridges have suggested that at least some domains of the cross-bridges do not change orientation during force generation. A number of properties of active cross-bridges have been defined by measurements of steady state contractions of fibers and by the transients which follow step changes in fiber length or tension. Taken together these studies have provided firm evidence that force is generated by a cyclic interaction in which a myosin cross-bridge attaches to actin, exerts force through a "powerstroke" of 12 nm, and is then released by the binding of ATP. The mechanism of this interaction at the molecular level remains unknown.

The active cross-bridge motions of isolated thick filaments from myosin-regulated muscles detected by quasi-elastic light scattering

Intensity fluctuation spectroscopy has been used successfully as a probe that can detect an increase in high-frequency internal motions of isolated thick filaments of Limulus muscle upon the addition of calcium ions. We have attributed such motions to cross-bridge motion instead of to an increase in the flexibility of the filament backbone. Here we show that after cleavage of the S-1 and then the S-2 moieties with papain, cross-linking the myosin heads to the filament backbone, or heat denaturation (42 degrees C, 10 min), the increase in the high frequency internal motions in the thick filaments no longer occurs. Congo Red, which has been shown to induce shortening of isolated myofibrils, also increases the high-frequency motions of the isolated filaments. Furthermore, the increase is suppressed by treating the filaments with a myosin ATPase inhibitor such as vanadate ions (10 mM) or by replacing ATP with either an equimolar CrADP or the nonhydrolyzable ATP analogue beta, gamma-imido-adenine-5'-triphosphate (AMP-PNP). Calcium ions have a similar effect on isolated thick filaments from scallop muscle, where the myosin is known to be regulatory. Calcium ions have no such effect on thick filaments isolated from frog muscle, which is believed not to be regulated by calcium binding to myosin. These results confirm our earlier supposition that the additional high frequency internal motions of the thick filaments isolated from striated muscle of Limulus are related to the energy dependent, active cross-bridge motions.

ADP binds similarly to rigor muscle myofibrils and to actomyosin-subfragment one

The binding of Mg2+ ADP to both rabbit skeletal and bovine cardiac myofibrils has been studied at two different temperatures. In each case a single class of binding sites was observed with a binding constant very close to that reported for the analogous actomyosin-subfragment one but much weaker than that seen with the analogous myosin subfragment one alone. These findings are discussed in terms of the constraints on the myosin cross-bridges imposed by the regular array of thick and thin filaments found in myofibrils.

Fluorescence energy transfer between probes on actin and probes on myosin

The structural relationship between F-actin filaments and the biologically active fragments of myosin (either as myosin subfragment-1 or heavy meromyosin) has been investigated using the technique of fluorescence energy transfer. Donor and acceptor probes were used to obtain the following inter- and intramolecular distances. Energy transfer was measured: (1) from the SH1 groups of the myosin 'heads' to the nucleotide sites of F-actin (in the absence of free nucleotide); (2) from the SH1 groups of myosin to multiple probes on the surface of the actin filament; (3) from the nucleotide-binding sites of F-actin to the ATPase sites of myosin; (4) from the ATPase sites of myosin to the nucleotide-binding sites of F-actin; (5) from the SH1 sites of myosin to the nucleotide-binding sites of F-actin; and (6) from the Cys-373 residues of F-actin to the nucleotide binding sites of F-actin. We observed very little energy transfer between the probes on actin and the probes on myosin (10% or less) and we observed a large transfer between the actin Cys-373 and the actin nucleotide. These data strongly suggest that both the SH1 moiety and the ATPase site of myosin are located more than 6 nm from the actin sites. When these distances are combined with similar measurements by other authors and inserted into the most recent three-dimensional reconstruction of electron micrographs of the acto-subfragment-1 complex, it is apparent that the SH1 and the ATPase sites on myosin are not located adjacent to actin and are most probably located in the half of the myosin head that is distal from actin in the actomyosin complex.

Is the SII portion of the cross-bridge in glycerinated rabbit psoas fibers compliant in the rigor state?

To see whether the SII portion of the cross-bridge in rigor fibers is longitudinally compliant, we chemically cross-linked with dimethyl suberimidate the entire rod portion (including the SII portion) of myosin onto the surface of thick filaments in glycerinated rabbit psoas fibers, and studied the effect of the SII fixation on the stiffness of the rigor fibers. The cross-linking of fiber segments with full filament overlap increased the rigor stiffness by approximately 25%. Almost the same absolute amount of the stiffness increase was also observed in rigor fibers with half- or no filament overlap after the cross-linking, and a similar but somewhat larger increment of stiffness was observed in fiber segments cross-linked in relaxing solution. These results indicate that the stiffness increase is not produced by the fixation of the SII portion onto the thick filament surface, but is caused instead by the cross-linking of some parallel elastic elements in muscle, and therefore indicate that the SII portion of the cross-bridge is hardly longitudinally compliant in rigor fibers.

Stiffness of glycerinated rabbit psoas fibers in the rigor state. Filament-overlap relation

The stiffness of glycerinated rabbit psoas fibers in the rigor state was measured at various sarcomere lengths in order to determine the distribution of the sarcomere compliance between the cross-bridge and other structures. The stiffness was determined by measuring the tension increment at one end of a fiber segment while stretching the other end of the fiber. The contribution of the end compliance to the rigor segments was checked both by laser diffractometry of the sarcomere length change and by measuring the length dependence of the Young's modulus; the contribution was found to be small. The stiffness in the rigor state was constant at sarcomere lengths of 2.4 microns or less; at greater sarcomere lengths the stiffness, when corrected for the contribution of resting stiffness, scaled with the amount of overlap between the thick and thin filaments. These results suggest that the source of the sarcomere compliance of the rigor fiber at the full overlapping of filaments is mostly the cross-bridge compliance.

Cross-linking studies related to the location of the rigor compliance in glycerinated rabbit psoas fibers: is the SII portion of the cross-bridge compliant?

The muscle tension generation model of Huxley and Simmons (1971) postulates an independent elastic element in the cross-bridge. This elastic structure was tentatively placed in the SII portion of the cross-bridge in the model. To check this assumption, we fixed the SII portion onto the surface of the thick filament in glycerinated rabbit psoas fibers in rigor by chemically cross-linking with dimethyl suberimidate, and compared the stiffness of the cross-linked fibers with that of the fibers before cross-linking. The stiffness was determined by measuring the tension increment upon stretching a fiber segment in rigor. The contribution of the end compliance was found to be small. Cross-linking increased the rigor stiffness by 20 to 30%. Almost the same amount of the stiffness increase was also observed at a sarcomere length where there was no overlap between the thin and thick filaments, and in a fiber segment cross-linked in relaxing solution. Therefore, the 20 to 30% increase of the stiffness is not caused by the fixation of the SII portion onto the thick filament but caused by the cross-linking of some parallel elastic components. Since the rigor stiffness before cross-linking is almost proportional to the overlap between thick and thin filaments, we conclude that the muscle stiffness in rigor does not originate in the SII portion but reflects some compliance of the head portion of the cross-bridge.

Angles of fluorescently labelled myosin heads and actin monomers in contracting and rigor stained muscle fiber

The measurement of polarized fluorescence from a fluorescent ATP or ADP analog, epsilon-ATP or epsilon-ADP (1, N6-Etheno-ATP or ADP) bound to myosin heads in a glycerinated muscle fiber revealed that during isometric contraction at low concentrations of Mg-epsilon-ATP the bound nucleotides are highly oriented with respect to the fiber axis, and their mean angle is almost the same as that in rigor. Furthermore, the polarization of tryptophan fluorescence did not change when the fiber was transferred from a rigor state to an active state at low ATP concentrations. Thus, if a rotation of myosin heads occurs during contraction, it seems to be very limited. The angle of bound epsilon-ADP is not changed by passive stretching of the fiber in the presence of epsilon-ADP. By using the same technique, it was found that orientation of a phalloidin-FITC complex (Ph-FITC) specifically bound to F-actin in a glycerinated muscle fiber is significantly changed when the fiber is activated from relaxation or rigor to contraction. No change in orientation of Ph-FITC bound to F-actin is induced by simple addition of Mg-ADP or by passive stretching of the fiber in the absence of ATP. These results suggest that a rotation or a distortion of actin monomers occurs during contraction, which is involved in the process of active tension development.

Muscle cross-bridges: do they rotate?

We have used electron paramagnetic resonance (EPR) spectroscopy to monitor the orientation of spin labels attached specifically to a reactive sulfhydryl on the myosin heads in glycerinated rabbit psoas skeletal muscle. Previous work has shown that the paramagnetic probes are highly ordered in rigor muscle and display a random angular distribution in relaxed muscle (Thomas and Cooke , 1980). Addition of ADP to rigor fibers caused no spectral changes, while addition of AMPPNP or PPi increased the fraction of disordered probes. We show here that the application of stress to fibers in the presence of ADP, AMPPNP or PPi causes no change in their spectra. During the generation of isometric tension approximately 80% of the probes display a random angular distribution as in relaxed muscle while the remaining 20% are highly oriented at the same angle as found in rigor muscle. In each of the above cases the spectrum consists of two components, one highly ordered as in rigor and one highly disordered. Saturation transfer EPR has shown that the ordered component is rigid while the disordered component is mobile on the microsecond time scale (Thomas, Ishiwata , Seidel and Gergely , 1980). These data lead to the conclusion that the disordered spectral component arises from myosin heads that are detached from actin while the ordered component comes from heads that are attached to actin. The observation that the ordered component displays an identical angular distribution under all conditions indicates that its orientation is not linked to force generation.

Fluorescence energy transfer between the myosin subfragment-1 isoenzymes and F-actin in the absence and presence of nucleotides

The unique fast-reacting cysteine residue (SH1) of myosin subfragment 1 (S1), prepared by chymotryptic digestion, and cysteine 373 of actin have been labelled selectively with the fluorescent probes, N-(bromoacetyl)-N'-(1-sulpho-5-naphthyl)ethylenediamine (1,5-BrAEDANS) and 5-(iodoacetamido)fluorescein (5-IAF), whose spectral properties render them a particularly effective donor-acceptor pair in fluorescence energy transfer studies. The transfer efficiency of 40-45% represented a spatial separation of the chromophores of about 5 nm, which is in reasonable agreement with the value of 6 nm reported earlier for similarly labelled S1, prepared by papain digestion, and actin [Takashi, R. (1979) Biochemistry, 18, 5164-5169]. This transfer efficiency did not change when the doubly-labelled binary complex was formed: (1) with acto-S1(A1) or acto-S1(A2) at 10-200 mM KCl, pH 7-8 and different buffer conditions; (2) with either S1 isoenzyme and regulated actin (i.e. actin with tropomyosin and troponin) both in the presence and absence of Ca2+ or when the donor and acceptor attachment sites were reversed. Analysis of donor and acceptor polarized fluorescence showed that the chromophores are not randomly orientated (i.e. chi 2 not equal to 2/3), but they do have some motion relative to either protein. From a knowledge of the limiting values for chi 2, the intersite distance for donor and acceptor chromophores was calculated to be in the range 3.9-6.7 nm. Addition of MgATP to the doubly-labelled acto-S1 complex eliminated energy transfer but this was recovered when ATP hydrolysis was completed. By utilizing the known binding constants between S1, actin and either MgADP or MgAdoPP[NH]P (magnesium adenosine 5'-[beta, gamma-imido]triphosphate) [Konrad, M. and Goody, K. (1982) Eur. J. Biochem. 128, 547-555; Greene, L. E. and Eisenberg, E. (1980) J. Biol. Chem. 255, 543-548], the concentrations of all species present at equilibrium were determined. Experimental conditions were chosen to maximise the amount of ternary acto-S1-nucleotide complex (approximately equal to 50%) and minimise the amount of binary complex (less than or equal to 2%). The spatial separation of the chromophore interaction sites in the ternary complex was found to be the same with both nucleotides and indistinguishable from that found with the binary complex. A similar strategy was employed to compare the conformations of the binary and ternary complexes by 1H-NMR spectroscopy. In these experiments about 90% of the S1 was in the form of the ternary complex. There was no noticeable change in the acto-S1 spectra upon addition of either MgAdoPP[NH]P or MgADP. These observations support the conclusion that there is no large change in structure in the 'rigor' binary acto-S1 complex when it binds either ADP or AdoPP[NH]P.

Extensibility of the myofilaments in vertebrate skeletal muscle as revealed by stretching rigor muscle fibers

The extensibility of the myofilaments in vertebrate skeletal muscle was studied by stretching glycerinated rabbit psoas muscle fibers in rigor state and examining the resulting extension of sarcomere structures under an electron microscope. Although stretches applied to rigor fibers produced a successive yielding of the weakest sarcomeres, the length of the remaining intact sarcomeres in many myofibrils was fairly uniform, being definitely longer than the sarcomeres in the control, nonstretched part of rigor fibers. The stretch-induced increase in sarcomere length was found to be taken up by the extension of the H zone and the I band, whereas the amount of overlap between the thick and thin filaments did not change appreciably with stretches of 10-20%. The thick filament extension in the H zone was localized in the bare regions, whereas the thin filament extension in the I band appeared to take place uniformly along the filament length. No marked increase in the Z-line width was observed even with stretches of 20-30%. These results clearly demonstrate the extensibility of the thick and thin filaments. The possible contribution of the myofilament compliance to the series elastic component (SEC) in vertebrate skeletal muscle fibers is discussed on the basis of the electron microscopic data and the force-extension curve of the SEC in rigor fibers.

Relaxation of muscle fibres by photolysis of caged ATP

A novel method has been developed for studying the reaction kinetics of the force-generating mechanism in muscle. Inert photolabile precursors of ATP or ADP are incorporated into muscle fibres having their surface membrane barrier removed. The nucleotide is then rapidly liberated by laser pulse photolysis. This circumvents the limitation in time resolution set by diffusion of nucleotide from the medium bathing the fibre. This laser photolysis method may be applicable to studies of the dynamic properties of many biological systems.

Orientation of spin labels attached to cross-bridges in contracting muscle fibres

Electron micrographs showing different cross-bridge orientations in different states of muscle fibres, and X-ray diffraction patterns indicating axial cross-bridge disorder in contracting muscle first suggested that force generation in the contracting muscle involved a change in orientation of the myosin heads that form cross-bridges between thick and thin filaments. This has been supported by subsequent work; the myosin molecule has the required flexibility for changes in orientation. The orientation of muscle tryptophans and of probes attached to the myosin heads of permeable muscle fibres depends on the state of the muscle. Recently, fluorescence polarization fluctuations and time-resolved X-ray diffraction patterns have suggested that cross-bridges of a contracting muscle can rotate. We have used electron paramagnetic resonance (EPR) spectroscopy to monitor the orientation of spin labels attached specifically to a reactive sulphydryl on the myosin heads in glycerinated rabbit psoas skeletal muscle. Previously, it has been shown that the paramagnetic probes are highly ordered in rigor muscle, with a nearly random angular distribution in relaxed muscle. We show here that during the generation of isometric tension, approximately 80% of the probes display a random angular distribution as in relaxed muscle while the remaining 20% are highly oriented at the same angle as found in rigor muscle. These findings indicate that a domain of the myosin head does not change orientation during the power stroke of the contractile interaction.

Three-dimensional disorder of dipolar probes in a helical array. Application to muscle cross-bridges

Fluorescence polarization and EPR experiments on azimuthally randomized helices bearing extrinsic (dipolar) probes yield information about the axial orientation and order of the probes. If the orientation of the probe on the structure bearing it is known and disorder is absent, the orientation of the structure may be ascertained. For cases where less probe orientation information is available and/or disorder is present, the available structural information is correspondingly reduced. Here we examine the available data on probes attached to cross-bridges in muscle fibers: four plausible cases of three-dimensional cross-bridge disorders are numerically modeled muscle in states of rigor and relaxation. In rigor, where the reported probe disorder is small (Thomas and Cooke, 1980), it was found that the cross-bridge disorder was also small. On the other hand, for the relaxed state where the probes are found to be completely disordered, the cross-bridges may have a considerable amount of order. This possibility is in concert with the results of x-ray diffraction, in which the presence of well-developed myosin-based layer lines indicates considerable order in relaxed muscle.

Tonicity effects on intact single muscle fibers: relation between force and cell volume

Contraction of isolated, intact frog muscle fibers under increasing tonicity of the external solution was studied by adding (i) effectively impermeant sodium chloride and sucrose and (ii) permeant potassium chloride. Force of isometric contraction decreased as a function of tonicity, independent of the permeability of the solute. In contrast, cell volume changed with tonicity in impermeant solutes and was constant with potassium chloride. The results are evidence that ionic strength in the sarcoplasm directly influences the contraction mechanism. Also, the findings show that force development is unaffected by changes in fiber volume, suggesting that the force per cross-bridge is constant at different distances between the thin and myofilaments. Finally, in light of the length-force relation, the results support the idea that cross-bridges are independent force generators.