Dynamic behaviour of the head-tail junction of myosin

Double-headed binding of myosin II to F-actin shows the effect of strain on head structure

Force production in muscle is achieved through the interaction of myosin and actin. Strong binding states in active muscle are associated with Mg·ADP bound to the active site; release of Mg·ADP allows rebinding of ATP and dissociation from actin. Thus, Mg·ADP binding is positioned for adaptation as a force sensor. Mechanical loads on the lever arm can affect the ability of myosin to release Mg·ADP but exactly how this is done is poorly defined. Here we use F-actin decorated with double-headed smooth muscle myosin fragments in the presence of Mg·ADP to visualize the effect of internally supplied tension on the paired lever arms using cryoEM. The interaction of the paired heads with two adjacent actin subunits is predicted to place one lever arm under positive and the other under negative strain. The converter domain is believed to be the most flexible domain within myosin head. Our results, instead, point to the segment of heavy chain between the essential and regulatory light chains as the location of the largest structural change. Moreover, our results suggest no large changes in the myosin coiled coil tail as the locus of strain relief when both heads bind F-actin. The method would be adaptable to double-headed members of the myosin family. We anticipate that the study of actin-myosin interaction using double-headed fragments enables visualization of domains that are typically noisy in decoration with single-headed fragments.

The myosin II coiled-coil domain atomic structure in its native environment

The atomic structure of the complete myosin tail within thick filaments isolated from Lethocerus indicus flight muscle is described and compared to crystal structures of recombinant, human cardiac myosin tail segments. Overall, the agreement is good with three exceptions: the proximal S2, in which the filament has heads attached but the crystal structure doesn't, and skip regions 2 and 4. At the head-tail junction, the tail α-helices are asymmetrically structured encompassing well-defined unfolding of 12 residues for one myosin tail, ∼4 residues of the other, and different degrees of α-helix unwinding for both tail α-helices, thereby providing an atomic resolution description of coiled-coil "uncoiling" at the head-tail junction. Asymmetry is observed in the nonhelical C termini; one C-terminal segment is intercalated between ribbons of myosin tails, the other apparently terminating at Skip 4 of another myosin tail. Between skip residues, crystal and filament structures agree well. Skips 1 and 3 also agree well and show the expected α-helix unwinding and coiled-coil untwisting in response to skip residue insertion. Skips 2 and 4 are different. Skip 2 is accommodated in an unusual manner through an increase in α-helix radius and corresponding reduction in rise/residue. Skip 4 remains helical in one chain, with the other chain unfolded, apparently influenced by the acidic myosin C terminus. The atomic model may shed some light on thick filament mechanosensing and is a step in understanding the complex roles that thick filaments of all species undergo during muscle contraction.

A conformational transition in the myosin VI converter contributes to the variable step size

Myosin VI (MVI) is a dimeric molecular motor that translocates backwards on actin filaments with a surprisingly large and variable step size, given its short lever arm. A recent x-ray structure of MVI indicates that the large step size can be explained in part by a novel conformation of the converter subdomain in the prepowerstroke state, in which a 53-residue insert, unique to MVI, reorients the lever arm nearly parallel to the actin filament. To determine whether the existence of the novel converter conformation could contribute to the step-size variability, we used a path-based free-energy simulation tool, the string method, to show that there is a small free-energy difference between the novel converter conformation and the conventional conformation found in other myosins. This result suggests that MVI can bind to actin with the converter in either conformation. Models of MVI/MV chimeric dimers show that the variability in the tilting angle of the lever arm that results from the two converter conformations can lead to step-size variations of ∼12 nm. These variations, in combination with other proposed mechanisms, could explain the experimentally determined step-size variability of ∼25 nm for wild-type MVI. Mutations to test the findings by experiment are suggested.

Head-head interaction characterizes the relaxed state of Limulus muscle myosin filaments

Regulation of muscle contraction via the myosin filaments occurs in vertebrate smooth and many invertebrate striated muscles. Studies of unphosphorylated vertebrate smooth muscle myosin suggest that activity is switched off through an intramolecular interaction between the actin-binding region of one head and the converter and essential light chains of the other, inhibiting ATPase activity and actin interaction. The same interaction (and additional interaction with the tail) is seen in three-dimensional reconstructions of relaxed, native myosin filaments from tarantula striated muscle, suggesting that such interactions are likely to underlie the off-state of myosin across a wide spectrum of the animal kingdom. We have tested this hypothesis by carrying out cryo-electron microscopy and three-dimensional image reconstruction of myosin filaments from horseshoe crab (Limulus) muscle. The same head-head and head-tail interactions seen in tarantula are also seen in Limulus, supporting the hypothesis. Other data suggest that this motif may underlie the relaxed state of myosin II in all species (including myosin II in nonmuscle cells), with the possible exception of insect flight muscle. The molecular organization of the myosin tails in the backbone of muscle thick filaments is unknown and may differ between species. X-ray diffraction data support a general model for crustaceans in which tails associate together to form 4-nm-diameter subfilaments, with these subfilaments assembling together to form the backbone. This model is supported by direct observation of 4-nm-diameter elongated strands in the tarantula reconstruction, suggesting that it might be a general structure across the arthropods. We observe a similar backbone organization in the Limulus reconstruction, supporting the general existence of such subfilaments.

Towards a unified theory of muscle contraction. I: foundations

Molecular models of contractility in striated muscle require an integrated description of the action of myosin motors, firstly in the filament lattice of the half-sarcomere. Existing models do not adequately reflect the biochemistry of the myosin motor and its sarcomeric environment. The biochemical actin-myosin-ATP cycle is reviewed, and we propose a model cycle with two 4- to 5-nm working strokes, where phosphate is released slowly after the first stroke. A smaller third stroke is associated with ATP-induced detachment from actin. A comprehensive model is defined by applying such a cycle to all myosin-S1 heads in the half-sarcomere, subject to generic constraints as follows: (a) all strain-dependent kinetics required for actin-myosin interactions are derived from reaction-energy landscapes and applied to dimeric myosin, (b) actin-myosin interactions in the half-sarcomere are controlled by matching rules derived from the structure of the filaments, so that each dimer may be associated with a target zone of three actin sites, and (c) the myosin and actin filaments are treated as elastically extensible. Numerical predictions for such a model are presented in the following paper.

Myosin V passing over Arp2/3 junctions: branching ratio calculated from the elastic lever arm model

Myosin V is a two-headed processive motor protein that walks in a hand-over-hand fashion along actin filaments. When it encounters a filament branch, formed by the Arp2/3 complex, it can either stay on the straight mother filament, or switch to the daughter filament. We study both probabilities using the elastic lever arm model for myosin V. We calculate the shapes and bending energies of all relevant configurations in which the trail head is bound to the actin filament before Arp2/3 and the lead head is bound either to the mother or to the daughter filament. Based on the assumption that the probability for a head to bind to a certain actin subunit is proportional to the Boltzmann factor obtained from the elastic energy, we calculate the mother/daughter filament branching ratio. Our model predicts a value of 27% for the daughter and 73% for the mother filament. This result is in good agreement with recent experimental data.

Structures of smooth muscle myosin and heavy meromyosin in the folded, shutdown state

Remodelling the contractile apparatus within smooth muscle cells allows effective contractile activity over a wide range of cell lengths. Thick filaments may be redistributed via depolymerisation into inactive myosin monomers that have been detected in vitro, in which the long tail has a folded conformation. Using negative stain electron microscopy of individual folded myosin molecules from turkey gizzard smooth muscle, we show that they are more compact than previously described, with heads and the three segments of the folded tail closely packed. Heavy meromyosin (HMM), which lacks two-thirds of the tail, closely resembles the equivalent parts of whole myosin. Image processing reveals a characteristic head region morphology for both HMM and myosin, with features identifiable by comparison with less compact molecules. The two heads associate asymmetrically: the tip of one motor domain touches the base of the other, resembling the blocked and free heads of this HMM when it forms 2D crystals on lipid monolayers. The tail of HMM lies between the heads, contacting the blocked motor domain, unlike in the 2D crystal. The tail of whole myosin is bent sharply and consistently close to residues 1175 and 1535. The first bend position correlates with a skip in the coiled coil sequence, the second does not. Tail segments 2 and 3 associate only with the blocked head, such that the second bend is near the C-lobe of the blocked head regulatory light chain. Quantitative analysis of tail flexibility shows that the single coiled coil of HMM has an apparent Young's modulus of about 0.5 GPa. The folded tail of the whole myosin is less flexible, indicating interactions between the segments. The folded tail does not modify the compact head arrangement but stabilises it, indicating a structural mechanism for the very low ATPase activity of the folded molecule.

Binding of myosin binding protein-C to myosin subfragment S2 affects contractility independent of a tether mechanism

Mutations in the cardiac myosin binding protein-C gene (cMyBP-C) are among the most prevalent causes of inherited hypertrophic cardiomyopathy. Although most cMyBP-C mutations cause reading frameshifts that are predicted to encode truncated peptides, it is not known if or how expression of these peptides causes disease. One possibility is that because the N-terminus contains a unique binding site for the S2 subfragment of myosin, shortened cMyBP-C peptides could directly affect myosin contraction by binding to S2. To test this hypothesis, we compared the effects of a C1C2 protein containing the myosin S2 binding site on contractile properties in permeabilized myocytes from wild-type and cMyBP-C knockout mice. In wild-type myocytes, the C1C2 protein reversibly increased myofilament Ca2+ sensitivity of tension, but had no effect on resting tension. Identical results were observed in cMyBP-C knockout myocytes where C1C2 increased Ca2+ sensitivity of tension with the half-maximal response elicited at approximately 5 micromol/L C1C2. Maximum force was not affected by C1C2. However, phosphorylation of C1C2 by cAMP-dependent protein kinase reduced its ability to increase Ca2+ sensitivity. These results demonstrate that binding of the C1C2 peptide to S2 alone is sufficient to affect myosin contractile function and suggest that regulated binding of cMyBP-C to myosin S2 by phosphorylation directly influences myofilament Ca2+ sensitivity.

MgATP-induced conformational changes in a single myosin molecule observed by atomic force microscopy: periodicity of substructures in myosin rods

This paper discusses the conformational changes in a single myosin molecule directly observed using atomic force microscopy (AFM). The myosin molecules were pretreated in rigor solutions without MgATP or in relaxed solutions with various concentrations of MgATP. The images of these molecules were obtained using a tapping mode AFM. The results indicate that the orientation of the myosin's heads and tail strongly depend on the MgATP concentration. Without using MgATP, almost all of the myosin molecules are in the extended form; however, when MgATP is used, the molecules bend according to the level of MgATP concentration. The mean-square end-to-end distance of the myosin molecules is significantly shorter with p[MgATP] = 4 than with p[MgATP] = 6. The rod region did not show the same level of intensity along their length in the extended form. The rods exhibited clusters of discontinuity, which were identified as substructures. The size of these substructures change at intervals that are multiples of 14.3-14.5 nm, which reflects the periodicity of the alpha-helical coiled coils. The substructure clusters also correspond to the myosin crossbridge spacing in muscles (14.3 or 43 nm). These results suggest that the myosin's head bends in conjunction with the bending or tilting in the helical substructures. Conformational changes of the myosin molecule induced by MgATP seem to mimic the molecular motions in a muscle's force generation process.

Visualization of an unstable coiled coil from the scallop myosin rod

Alpha-helical coiled coils in muscle exemplify simplicity and economy of protein design: small variations in sequence lead to remarkable diversity in cellular functions. Myosin II is the key protein in muscle contraction, and the molecule's two-chain alpha-helical coiled-coil rod region--towards the carboxy terminus of the heavy chain--has unusual structural and dynamic features. The amino-terminal subfragment-2 (S2) domains of the rods can swing out from the thick filament backbone at a hinge in the coiled coil, allowing the two myosin 'heads' and their motor domains to interact with actin and generate tension. Most of the S2 rod appears to be a flexible coiled coil, but studies suggest that the structure at the N-terminal region is unstable, and unwinding or bending of the alpha-helices near the head-rod junction seems necessary for many of myosin's functional properties. Here we show the physical basis of a particularly weak coiled-coil segment by determining the 2.5-A-resolution crystal structure of a leucine-zipper-stabilized fragment of the scallop striated-muscle myosin rod adjacent to the head-rod junction. The N-terminal 14 residues are poorly ordered; the rest of the S2 segment forms a flexible coiled coil with poorly packed core residues. The unusual absence of interhelical salt bridges here exposes apolar core atoms to solvent.

Solution structure of heavy meromyosin by small-angle scattering

Elucidation of x-ray crystal structures for the S1 subfragment of myosin afforded atomic resolution of the nucleotide and actin binding sites of the enzyme. The structures have led to more detailed hypotheses regarding the mechanisms by which force generation is coupled to ATP hydrolysis. However, the three-dimensional structure of double-headed myosin consisting of two S1 subfragments has not yet been solved. Therefore, to investigate the overall shape and relative orientations of the two heads of myosin, we performed small-angle x-ray and neutron scattering measurements of heavy meromyosin containing all three light chains (LC(1-3)) in solution. The resulting small-angle scattering intensity profiles were best fit by models of the heavy meromyosin head-tail junction in which the angular separation between heads was less than 180 degrees. The S1 heads of the best fit models are not related by an axis of symmetry, and one of the two S1 heads is bent back along the rod. These results provide new information on the structure of the head-tail junction of myosin and indicate that combining scattering measurements with high resolution structural modeling is a feasible approach for investigating myosin head-head interactions in solution.

Temperature and ligand dependence of conformation and helical order in myosin filaments

Mammalian myosin filaments are helically ordered only at higher temperatures (>20 degrees C) and become progressively more disordered as the temperature is decreased. It had previously been suggested that this was a consequence of the dependence of the hydrolytic step of myosin ATPase on temperature and the requirement that hydrolysis products (e.g., ADP.P(i)) be bound at the active site. An alternative hypothesis is that temperature directly affects the conformation of the myosin heads and that they need to be in a particular conformation for helical order in the filament. To discriminate between these two hypotheses, we have studied the effect of temperature on the helical order of myosin heads in rabbit psoas muscle in the presence of nonhydrolyzable ligands. The muscle fibers were overstretched to nonoverlap such that myosin affinity for nucleotides was not influenced by the interaction of myosin with the thin filament. We show that with bound ADP.vanadate, which mimics the transition state between ATP and hydrolysis products, or with the ATP analogues AMP-PNP or ADP.BeF(x)() the myosin filaments are substantially ordered at higher temperatures but are reversibly disordered by cooling. These results reinforce recent studies in solution showing that temperature as well as ligand influence the equilibrium between multiple myosin conformations [Málnási-Csizmadia, A., Pearson, D. S., Kovács, M., Woolley, R. J., Geeves, M. A., and Bagshaw, C. R. (2001) Biochemistry 40, 12727-12737; Málnási-Csizmadia, A., Woolley, R. J., and Bagshaw, C. R. (2000) Biochemistry 39, 16135-16146; Urbanke, C., and Wray, J. (2001) Biochem. J. 358, 165-173] and indicate that helical order requires the myosin heads to be in the closed conformation. Our results suggest that most of the heads in the closed conformation are ordered, and that order is not produced in a separate step. Hence, helical order can be used as a signature of the closed conformation in relaxed muscle. Analysis of the dependence on temperature of helical order and myosin conformation shows that in the presence of these analogues one ordered (closed) conformation and two disordered conformations with distinct thermodynamic properties coexist. Low temperatures favor one disordered conformation, while high temperatures favor the ordered (closed) conformation together with a second disordered conformation.

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.

Molecular modeling of averaged rigor crossbridges from tomograms of insect flight muscle

Electron tomography, correspondence analysis, molecular model building, and real-space refinement provide detailed 3-D structures for in situ myosin crossbridges in the nucleotide-free state (rigor), thought to represent the end of the power stroke. Unaveraged tomograms from a 25-nm longitudinal section of insect flight muscle preserved native structural variation. Recurring crossbridge motifs that repeat every 38.7 nm along the actin filament were extracted from the tomogram and classified by correspondence analysis into 25 class averages, which improved the signal to noise ratio. Models based on the atomic structures of actin and of myosin subfragment 1 were rebuilt to fit 11 class averages. A real-space refinement procedure was applied to quantitatively fit the reconstructions and to minimize steric clashes between domains introduced during the fitting. These combined procedures show that no single myosin head structure can fit all the in situ crossbridges. The validity of the approach is supported by agreement of these atomic models with fluorescent probe data from vertebrate muscle as well as with data from regulatory light chain crosslinking between heads of smooth muscle heavy meromyosin when bound to actin.

Coiled-coil unwinding at the smooth muscle myosin head-rod junction is required for optimal mechanical performance

Myosin II has two heads that are joined together by an alpha-helical coiled-coil rod, which can separate in the region adjacent to the head-rod junction (Trybus, K. M. 1994. J. Biol. Chem. 269:20819-20822). To test whether this flexibility at the head-rod junction is important for the mechanical performance of myosin, we used the optical trap to measure the unitary displacements of heavy meromyosin constructs in which a stable coiled-coil sequence derived from the leucine zipper was introduced into the myosin rod. The zipper was positioned either immediately after the heads (0-hep zip) or following 15 heptads of native sequence (15-hep zip). The unitary displacement (d) decreased from d = 9.7 +/- 0.6 nm for wild-type heavy meromyosin (WT HMM) to d = 0.1 +/- 0.3 nm for the 0-hep zip construct (mean +/- SE). Native values were restored in the 15-hep zip construct (d = 7.5 +/- 0.7 nm). We conclude that flexibility at the myosin head-rod junction, which is provided by an unstable coiled-coil region, is essential for optimal mechanical performance.

Truncation of vertebrate striated muscle myosin light chains disturbs calcium-induced structural transitions in synthetic myosin filaments

Electron microscopy and negative staining techniques have been used to show that the proteolytic removal of 13 amino acids from the N-terminus of essential light chain 1 and 19 amino acids from the N-terminus of the regulatory light chain of rabbit skeletal and cardiac muscle myosins destroys Ca(2+)-induced reversible movement of subfragment-2 (S2) with heads (S1) away from the backbone of synthetic myosin filaments observed for control assemblies of the myosin under near physiological conditions. This is the direct demonstration of the contribution of the S2 movement to the Ca(2+)-sensitive structural behavior of rabbit cardiac and skeletal myosin filaments and of the necessity of intact light chains for this movement. In muscle, such a mobility might play an important role in proper functioning of the myosin filaments. The impairment of the Ca(2+)-dependent structural behavior of S2 with S1 on the surface of the synthetic myosin filaments observed by us may be of direct relevance to some cardiomyopathies, which are accompanied by proteolytic breakdown or dissociation of myosin light chains.

Functional diversity between orthologous myosins with minimal sequence diversity

To define the structural differences that are responsible for the functional diversity between orthologous sarcomeric myosins, we compared the rat and human beta/slow myosins. Functional comparison showed that rat beta/slow myosin has higher ATPase activity and moves actin filaments at higher speed in in vitro motility assay than human beta/slow myosin. Sequence analysis shows that the loop regions at the junctions of the 25 and 50 kDa domains (loop 1) and the 50 and 20 kDa domains (loop 2), which have been implicated in determining functional diversity of myosin heavy chains, are essentially identical in the two orthologs. There are only 14 non-conservative substitutions in the two myosin heavy chains, three of which are located in the secondary actin-binding loop and flanking regions and others correspond to residues so far not assigned a functional role, including two residues in the proximal S2 domain. Interestingly, in some of these positions the rat beta/slow myosin heavy chain has the same residues found in human cardiac alpha myosin, a fast-type myosin, and fast skeletal myosins. These observations indicate that functional and structural analysis of myosin orthologs with limited sequence diversity can provide useful clues to identify amino acid residues involved in modulating myosin function.

Myosin binding protein C, a phosphorylation-dependent force regulator in muscle that controls the attachment of myosin heads by its interaction with myosin S2

Myosin binding protein C (MyBP-C) is one of the major sarcomeric proteins involved in the pathophysiology of familial hypertrophic cardiomyopathy (FHC). The cardiac isoform is tris-phosphorylated by cAMP-dependent protein kinase (cAPK) on beta-adrenergic stimulation at a conserved N-terminal domain (MyBP-C motif), suggesting a role in regulating positive inotropy mediated by cAPK. Recent data show that the MyBP-C motif binds to a conserved segment of sarcomeric myosin S2 in a phosphorylation-regulated way. Given that most MyBP-C mutations that cause FHC are predicted to result in N-terminal fragments of the protein, we investigated the specific effects of the MyBP-C motif on contractility and its modulation by cAPK phosphorylation. The diffusion of proteins into skinned fibers allows the investigation of effects of defined molecular regions of MyBP-C, because the endogenous MyBP-C is associated with few myosin heads. Furthermore, the effect of phosphorylation of cardiac MyBP-C can be studied in a defined unphosphorylated background in skeletal muscle fibers only. Triton skinned fibers were tested for maximal isometric force, Ca(2+)/force relation, rigor force, and stiffness in the absence and presence of the recombinant cardiac MyBP-C motif. The presence of unphosphorylated MyBP-C motif resulted in a significant (1) depression of Ca(2+)-activated maximal force with no effect on dynamic stiffness, (2) increase of the Ca(2+) sensitivity of active force (leftward shift of the Ca(2+)/force relation), (3) increase of maximal rigor force, and (4) an acceleration of rigor force and rigor stiffness development. Tris-phosphorylation of the MyBP-C motif by cAPK abolished these effects. This is the first demonstration that the S2 binding domain of MyBP-C is a modulator of contractility. The anchorage of the MyBP-C motif to the myosin filament is not needed for the observed effects, arguing that the mechanism of MyBP-C regulation is at least partly independent of a "tether," in agreement with a modulation of the head-tail mobility. Soluble fragments occurring in FHC, lacking the spatial specificity, might therefore lead to altered contraction regulation without affecting sarcomere structure directly.

Induced potential model of muscular contraction mechanism and myosin molecular structure

The proposed model is characterized by the constant r (Eq. 2-1), the induced potential (Fig. 1), two attached states of a myosin head (Fig. 1), the nonlinear elastic property of the crossbridge (Eq. 2-7), and the expression of U* (Eqs. 3-8 and 3-9), which led us to the following conclusions. 1. The following various magnitudes of myosin head motion are compatible with each other: about 2 nm of the quantity called power stroke by Irving (27), which is the mean moving distance of myosin head in the isometric tension in our model, 4-5 nm of the displacement of a single myosin head during one ATP hydrolysis cycle (Molloy et al. (20)) or a few tens of nm when the actin and myosin filaments are set parallel (Tanaka et al. (21) and Kitamura et al. (42)), and more than 200 nm of the myosin head displacement in a multi-myosin head system below 22 degrees C (Harada et al. (19)). 2. There is one-to-one coupling between the ATP hydrolysis cycle and the attachment-detachment cycle of a myosin head in accordance with the generally accepted concept of chemical reactions, since the head is trapped in the spatially shifting wide potential well (Fig. 1) until epsilon ATP is exhausted. Here, an actin filament interacts with a myosin head like a single molecule. 3. The calculated tension dependence of muscle stiffness agrees well with the observations by Ford et al. (12), as shown in Fig. 9. 4. The calculated shortening velocity V of muscle as a function of P/P0 agreed very well with experimental results as shown in Fig. 13. The deviation from the Hill equation (34) observed by Edman (32) is related with U* being effectively infinite for f1 < kappa b yc0 (Fig. 10). 5. Calculated energy liberation rate W + H as a function of P/P0 has characteristics almost the same as the Hill equation (33), and agrees well with the experimental results as shown in Fig. 14. 6. The time course of tension recovery after a quick length change is determined by four parameters: kappa f, kappa b, a, and Z0. Among them, kappa f, kappa b (Eq. 2-22) and a (Eq. 4-21) are readily determined by analysis of the steady filament sliding and p0. Calculations of T1/T0 and T2/T0 with these three parameters are in very good agreement with experimental data (Fig. 21). Calculated tension variations by assigning the value in Eq. 4-23 to Z0 agree with the observation (Fig. 17). 7. The model suggests that large fluctuations exist in relative positions between the actin and myosin filaments even when the load on a muscle is kept constant (Fig. 23). Taking this fluctuation into account, the time course of the isotonic velocity transient shown in Fig. 22 becomes understandable referring to Fig. 24. 8. The experimental data of the delta yhs vs. delta P/P0 relationship (Fig. 25) is explained. The delta yhs value at delta P/P0 = 0 (about 5 nm) supports the two-attached-state model and thus indicates that the incremental unit step of a myosin head motion along an actin filament is close to L (5.46 nm).

Calcium-induced structural changes in synthetic myosin filaments of vertebrate striated muscles

Using negative staining, freeze-drying, and shadowing techniques in electron microscopy we have for the first time demonstrated Ca-induced reversible structural transitions in the synthetic filaments of dephosphorylated column-purified rabbit skeletal and cardiac muscle myosins formed by dialysis against solutions containing 120 mM KCl, 1 mM MgCl(2), 10 mM imidazole-HCl buffer (pH 7.0), and either 0.1 mM CaCl(2) or 1 mM EGTA. It has been revealed that the compact ordered structure of the filaments with myosin heads and subfragments-2 (S2) disposed close to the filament backbone with an axial periodicity of about 14.5 nm in the absence of Ca(2+) transforms into a spread disordered structure due to the movement of the heads and S2 away from the filament surface in the presence of Ca(2+). Increasing the pH from neutrality to pH 7.8 leads to a spread, disordered structure while decreasing the pH value to 6.5 returns the filaments to their compact, rather ordered state independent of the Ca(2+) concentrations used. The fact that the reversible structural transitions in synthetic filaments of myosin are observed in the absence of actin and actin- and myosin-associated proteins suggests that Ca(2+)-induced S2 movement is an intrinsic property of myosin itself. Ca(2+)-induced S2 mobility may reflect the existence of functionally significant communications between the myosin head domains and the tails of myosin molecules in thick filaments, and its disappearance can be an indicator of the impairment of these communications, for example, in acute ischemia and myocardial infarction.

The effect of Ca2+ on the structure of synthetic filaments of smooth muscle myosin

Using electron microscopy and negative staining we have studied the effect of Ca2+ on the structure of synthetic filaments of chicken gizzard smooth muscle myosin under conditions applied by Frado and Craig (1989) for demonstration of the influence of Ca2+ on the structure of synthetic filaments of scallop striated muscle myosin. The results show that Ca2+ induces the transition of compact, ordered structure of filaments with a 14.5 nm axial repeat of the myosin heads close to the filament backbone (characteristic of the relaxing conditions) to a disordered structure with randomly arranged myosin heads together with subfragments-2 (S-2) seen at a distance of up to 50 nm from the filament backbone. This order/disorder transition is much more pronounced in filaments formed of unphosphorylated myosin, since a substantial fraction of phosphorylated filaments in the relaxing solution is already disordered due to phosphorylation. Under rigor conditions some of the filaments of unphosphorylated and phosphorylated myosin retain a certain degree of order resembling those under relaxing conditions, while most of them have a substantially disordered appearance. The results indicate that Ca2+-induced movement of myosin heads away from the filament backbone is an inherent property of smooth muscle myosin, like molluscan muscle myosin regulated exclusively by Ca2+ binding, and can play a modulatory role in smooth muscle contraction.

cAPK-phosphorylation controls the interaction of the regulatory domain of cardiac myosin binding protein C with myosin-S2 in an on-off fashion

Myosin binding protein C is a protein of the myosin filaments of striated muscle which is expressed in isoforms specific for cardiac and skeletal muscle. The cardiac isoform is phosphorylated rapidly upon adrenergic stimulation of myocardium by cAMP-dependent protein kinase, and together with the phosphorylation of troponin-I and phospholamban contributes to the positive inotropy that results from adrenergic stimulation of the heart. Cardiac myosin binding protein C is phosphorylated by cAMP-dependent protein kinase on three sites in a myosin binding protein C specific N-terminal domain which binds to myosin-S2. This interaction with myosin close to the motor domain is likely to mediate the regulatory function of the protein. Cardiac myosin binding protein C is a common target gene of familial hypertrophic cardiomyopathy and most mutations encode N-terminal subfragments of myosin binding protein C. The understanding of the signalling interactions of the N-terminal region is therefore important for understanding the pathophysiology of myosin binding protein C associated cardiomyopathy. We demonstrate here by cosedimentation assays and isothermal titration calorimetry that the myosin-S2 binding properties of the myosin binding protein C motif are abolished by cAMP-dependent protein kinase-mediated tris-phosphorylation, decreasing the S2 affinity from a Kd of approximately 5 microM to undetectable levels. We show that the slow and fast skeletal muscle isoforms are no cAMP-dependent protein kinase substrates and that the S2 interaction of these myosin binding protein C isoforms is therefore constitutively on. The regulation of cardiac contractility by myosin binding protein C therefore appears to be a 'brake-off' mechanism that will free a specific subset of myosin heads from sterical constraints imposed by the binding to the myosin binding protein C motif.

Two heads of myosin are better than one for generating force and motion

Several classes of the myosin superfamily are distinguished by their "double-headed" structure, where each head is a molecular motor capable of hydrolyzing ATP and interacting with actin to generate force and motion. The functional significance of this dimeric structure, however, has eluded investigators since its discovery in the late 1960s. Using an optical-trap transducer, we have measured the unitary displacement and force produced by double-headed and single-headed smooth- and skeletal-muscle myosins. Single-headed myosin produces approximately half the displacement and force (approximately 6 nm; 0.7 pN) of double-headed myosin (approximately 10 nm; 1.4 pN) during a unitary interaction with actin. These data suggest that muscle myosins require both heads to generate maximal force and motion.

Mutations in beta-myosin S2 that cause familial hypertrophic cardiomyopathy (FHC) abolish the interaction with the regulatory domain of myosin-binding protein-C

The myosin filaments of striated muscle contain a family of enigmatic myosin-binding proteins (MyBP), MyBP-C and MyBP-H. These modular proteins of the intracellular immunoglobulin superfamily contain unique domains near their N termini. The N-terminal domain of cardiac MyBP-C, the MyBP-C motif, contains additional phosphorylation sites and may regulate contraction in a phosphorylation dependent way. In contrast to the C terminus, which binds to the light meromyosin portion of the myosin rod, the interactions of this domain are unknown. We demonstrate that fragments of MyBP-C containing the MyBP-C motif localise to the sarcomeric A-band in cardiomyocytes and isolated myofibrils, without affecting sarcomere structure. The binding site for the MyBP-C motif resides in the N-terminal 126 residues of the S2 segment of the myosin rod. In this region, several mutations in beta-myosin are associated with FHC; however, their molecular implications remained unclear. We show that two representative FHC mutations in beta-myosin S2, R870H and E924K, drastically reduce MyBP-C binding (Kd approximately 60 microM for R870H compared with a Kd of approximately 5 microM for the wild-type) down to undetectable levels (E924K). These mutations do not affect the coiled-coil structure of myosin. We suggest that the regulatory function of MyBP-C is mediated by the interaction with S2, and that mutations in beta-myosin S2 may act by altering the interactions with MyBP-C.

Dimerization of the head-rod junction of scallop myosin

We have compared the dimerization properties and coiled-coil stability of various recombinant fragments of scallop myosin around the head-rod junction. The heavy-chain peptide of the regulatory domain and its various extensions toward the alpha-helical rod region were expressed in Escherichia coli, purified, and reconstituted with the light chains. Rod fragments of the same length but without the light-chain binding domain were also expressed. Electron micrographs show that the regulatory domain complex containing 340 residues of the rod forms dimers with two knobs (two regulatory domains) at one end attached to an approximately 50-nm coiled coil. These parallel dimers are in equilibrium with monomers (Kd = 10.6 microM). By contrast, complexes with shorter rod extensions remain predominantly monomeric. Dimers are present, accounting for ca. 5% of the molecules containing a rod fragment of 87 residues and ca. 30% of those with a 180-residue peptide. These dimers appear to be antiparallel coiled coils, as judged by their length and the knobs observed at the two ends. The rod fragments alone do not dimerize and form a coiled-coil structure unless covalently linked by disulfide bridges. Our results suggest that the N-terminal end of the coiled-coil rod is stabilized by interactions with the regulatory domain, most likely with residues of the regulatory light chain. This labile nature of the coiled coil at the head-rod junction might be a structural prerequisite for regulation of scallop myosin by Ca2+-ions.

Structure and dynamics of molecular motors

The structures of the oppositely directed microtubule motors kinesin and ncd have been solved to atomic resolution. The two structures are very similar and are also homologous to myosin. Myosins and kinesins differ kinetically but, tantalizingly, cryoelectron microscopy has recently revealed that both structures may tilt during ADP release. Such evidence suggests that the two motor families use common structural mechanisms.

Cryo-atomic force microscopy of smooth muscle myosin

The motor and regulatory domains of the head and the 14-nm pitch of the alpha-helical coiled-coil of the tail of extended (6S) smooth-muscle myosin molecules were imaged with cryo atomic force microscopy at 80-85 K, and the effects of thiophosphorylation of the regulatory light chain were examined. The tail was 4 nm shorter in thiophosphorylated than in nonphosphorylated myosin. The first major bend was invariant, at approximately 51 nm from the head-tail junction (H-T), coincident with low probability in the paircoil score. The second major bend was 100 nm from the H-T junction in nonphosphorylated and closer to a skip residue than the bend (at 95 nm) in thiophosphorylated molecules. The shorter tail and distance between the two major bends induced by thiophosphorylation are interpreted to result from melting of the coiled-coil. An additional bend not previously reported occurred, with a lower frequency, approximately 24 nm from the H-T. The range of separation between the two heads was greater in thiophosphorylated molecules. Occasional high-resolution images showed slight unwinding of the coiled-coil of the base of the heads. We suggest that phosphorylation of MLC20 can affect the structure of extended, 6S myosin.

Kinetics of folding of the myosin rod

The kinetics of the unfolding and refolding of the myosin rod have been studied by fluorescence and circular dichroism techniques, at different concentrations of protein and guanidine hydrochloride. The unfolding of the myosin rod was fast and at least biphasic in 2-3 M denaturant, with an initial immediate phase followed by a slower low-amplitude first-order phase. The refolding of the rod in 0.4-2 M guanidine hydrochloride was also at least biphasic; an initial immediate phase preceded a slow second-order phase. At the final denaturant concentration of 0.8 M, the amplitude of the burst phase was weakly dependent on the protein concentration and the rate constant of the refolding slow phase was optimal. These data are incorporated into a folding mechanism with at least three states. The high rates of the first steps of unfolding and refolding may be relevant for the functioning of the native myosin molecule by allowing a transient separation of the two strands of the myosin tail.