Kinetics and thermodynamics of the assembly of the parallel- and antiparallel-packed sections of synthetic thick filaments of skeletal myosin: a pressure-jump study

Earlier work on the length regulation mechanism of synthetic myosin filaments generated at pH 8.2 showed the process to be mediated through the dissociation rate constant which had an increasing and apparently monophasic exponential dependence on filament length and an association rate constant that was length independent, filament growth ceasing at the point of equilibrium [Davis, J.S. (1981) Biochem. J. 197, 309-314]. In this work, the exponential dependence of the dissociation rate constant on thick filament length was shown to be more complex than originally thought. Two phases were resolved, one of which correlated with the dissociation of parallel-packed myosin and the other with that of antiparallel-packed material. The pressure dependence of the dissociation reaction for the parallel-packed material showed that the activation volume decreased linearly with length while the Gibbs energy increased. This was interpreted as indicating that the weakening of the interaction between dimer and filament with length was accompanied by a decrease in the extent of ionic bonding. The case in the antiparallel-packed region was quite different, with the activation volume and the Gibbs energy both increasing linearly. The contribution from ionic bonding thus rises counter to the change in Gibbs energy, presumably at the expense of other noncovalent interactions. The relationship between the synthetic thick filaments and their in vivo counterparts is also considered in some detail.     

Substructure and accessory proteins in scallop myosin filaments

Native myosin filaments from scallop striated muscle fray into subfilaments of approximately 100-A diameter when exposed to solutions of low ionic strength. The number of subfilaments appears to be five to seven (close to the sevenfold rotational symmetry of the native filament), and the subfilaments probably coil around one another. Synthetic filaments assembled from purified scallop myosin at roughly physiological ionic strength have diameters similar to those of native filaments, but are much longer. They too can be frayed into subfilaments at low ionic strength. Synthetic filaments share what may be an important regulatory property with native filaments: an order-disorder transition in the helical arrangement of myosin cross-bridges that is induced on activation by calcium, removal of nucleotide, or modification of a myosin head sulfhydryl. Some native filaments from scallop striated muscle carry short "end filaments" protruding from their tips, comparable to the structures associated with vertebrate striated muscle myosin filaments. Gell electrophoresis of scallop muscle homogenates reveals the presence of high molecular weight proteins that may include the invertebrate counterpart of titin, a component of the vertebrate end filament. Although the myosin molecule itself may contain much of the information required to direct its assembly, other factors acting in vivo, including interactions with accessory proteins, probably contribute to the assembly of a precisely defined thick filament during myofibrillogenesis.     

Tryptophan pyrrolase in haem regulation. The mechanism of the opposite effects of tryptophan on rat liver 5-aminolaevulinate synthase activity and the haem saturation of tryptophan pyrrolase.

The self-assembly of myosin monomer into thick filament occurs via a two-step mechanism. At first a pair of myosin monomers reacts to form a parallel dimer; the dimer in turn adds to the filament ends at a rate that is independent of filament length. The rate of the dissociation reaction on the other hand is length-dependent. The 'off' rate constant has been shown to increase exponentially by a factor of 500 as the filament grows from the bare-zone out to its full length. The length of the filament is thus kinetically controlled; myosin is added to the filament at a fixed rate, whereas the dissociation rate increases to a point where equilibrium is established and the filament ceases to grow. The structural implications implicit in the mechanism are discussed.     

Invertebrate myosin filament: subfilament arrangement in the wall of tubular filaments of insect flight muscles

Transverse sections (100 to 140 nm thick) of the flight muscles of the fleshfly Phormia terrae-novae and the housefly Musca domestica were studied. The images of 56 tubular myosin filaments of the fleshfly and 62 filaments of the housefly were digitized and computer processed by rotational averaging. The rotational power spectra of more than 80% of the filaments showed peaks for 6-fold rotational frequency. The average of these images for each species showed a characteristic pattern consisting of 12 subunits arranged in six pairs around the wall of the filament. This pattern was enhanced by rotationally filtering the average images using the 6-fold components of the rotational power spectrum. On tilting individual images, the subunits behaved like rods perpendicular to the plane of the transverse section and they were therefore considered to be subfilaments essentially parallel to the long axis of the filament. The center-to-center spacing between the subfilaments of a pair is 2.8 nm, and the center-to-center spacing between the adjacent subfilaments of neighboring pairs is 4.0 nm. The observation of 12 subfilaments is consistent with a four-stranded helical arrangement of myosin cross-bridges on the surface of the filaments.     

The myosin filament XIV backbone structure.

The substructure of the thick filaments of chemically skinned chicken pectoralis muscle was investigated by electron microscopy. Images of transverse sections of the myosin filaments were determined to have threefold symmetry by cross-correlation analysis, which gives an unbiased determination of the rotational symmetry of the images. Resolution, using the phase residual test (Frank et al. 1981. Science [Wash. DC]. 214:1353-1355), was found to be between 3.2 and 3.6 nm. Three arrangements of nine subfilaments in the backbone were found in all regions of the filament at ionic strengths of 20 and 200 mM. In the average images of two of these, there were three dense central subfilaments and three pairs of subfilaments on the surface of the thick filament. In the average image of the third arrangement, all of the protein mass of the nine subfilaments was on the surface of the filament with three of them showing less variation in position than the others. A fourth arrangement appearing to be transitional between two of these was seen often at 200 mM ionic strength and only rarely at 20 mM. On average, the myosin subfilaments were parallel to the long axis of the filament. The different arrangements of subfilaments appear to be randomly distributed among the filaments in a transverse section of the A-band. Relative rotational orientations with respect to the hexagonal filament lattice, using the three densest subfilaments as reference showed a major clustering (32%) of filaments within one 10 degrees spread, a lesser clustering (15%) at 90 degrees to the first, and the remainder scattered thinly over the rest of the 120 degrees range. There was no obvious pattern of distribution of the two predominant orientations that could define a superlattice in the filament lattice.     

The myosin filament. X. Observation of nine subfilaments in transverse sections

The molecular packing of the subfilaments in muscle thick filaments has been investigated by electron microscopy. Thin (80-100 nm) transverse sections of vertebrate skeletal muscle were cut, and 129 electron microscope images of thick filaments from 15 different areas including seven to ten images in each area were analyzed by computer image processing. The transverse sections were limited to the portion of the filaments between the bare zone and the C-protein bearing region. Of the 129 images, six were discarded because they were structurally disrupted, 17 did not show evidence for the presence of subfilaments from the autocorrelation function, and four did not show evidence for three-fold rotational symmetry from the power spectrum. The remaining 102 filaments all showed evidence for three-fold rotational symmetry, consistent with other available evidence (Pepe, 1982). From the analysis of these images by rotational filtering, we have found that the vertebrate skeletal myosin filament is made up of nine subfilaments and that the image appears to have trigonal symmetry. Of these subfilaments, six are arranged with a center-to-center spacing of about 4 nm and the other three on the surface of the filament are distorted from this arrangement. Three additional densities, which together with the other nine, correspond to the pattern of 12 densities previously observed in more highly selected images (Stewart et al., 1981; Pepe and Drucker, 1972) were observed in 5% of the images. Another pattern of nine subfilaments peripherally arranged around the circumference of the filament was observed occasionally. This latter image may represent the organization of the subfilaments in the bare zone region of the filament, resulting from sampling of individual filaments displaced longitudinally relative to the other filaments in the A-band.     

Substructures in the core of thick filaments: arrangement and number in relation to the paramyosin content of insect flight muscles

Transverse sections (100-140 nm thick) of solid myosin filaments of the flight muscles of the honeybee, Apis mellifica, the fleshfly, Phormia terrae-novae and the waterbug, Lethocerus uhleri, were photographed in a JEM-200 electron microscope at 200 kV. The images were digitized and computer processed by rotational filtering. The power spectra of the images of each of these filaments showed six-fold symmetry for the outer wall region and three-fold symmetry for the inner wall region. Images of the honeybee additionally showed three-fold symmetry for the center of the filament. Considering both paramyosin content of the myosin filaments and the results of the rotational filtering, we suggest the existence of 3 paramyosin strands in the myosin filaments of the fleshfly, 6 paramyosin strands in the honeybee filaments and 5 strands in the myosin filaments of the waterbug. In the case of the honeybee, the 3 paramyosin strands of the inner wall are positioned directly opposite the myosin subfilaments, while the 3 strands of the center seem to be arranged opposite the gaps between the myosin subfilaments. The paramyosin filaments of the fleshfly wobble between 2 myosin subfilaments, without loosing their three-fold symmetry arrangement in the inner wall. The 3 paramyosin strands in the inner wall of the waterbug myosin filaments are either arranged opposite the myosin subfilaments or opposite the gaps between the subfilaments. Finally, we were able to generate a 3-dimensional reconstruction of the myosin filament of the honeybee, showing the parallel arrangement of both, myosin subfilaments and paramyosin strands, relative to the long filament axis.     

Invertebrate myosin filament: Parallel subfilament arrangement in the wall of solid filaments from the honeybee, Apis mellifica

Transverse serial sections (100-140 nm thick) of solid myosin filaments of the honeybee, Apis mellifica, were photographed in a JEM-200 electron microscope at 200 kV. The images were digitized and computer processed by rotational filtering. 87% of the myosin filaments showed 6-fold symmetry in their power spectra, confirming the results of earlier works (Beinbrech et al., 1988, 1991). To determine if the subfilaments were arranged parallel to the filament backbone, two methods were used. First, the three images of each myosin filament in the three serial sections were superimposed. 85% of the resulting images showed a strong peak for 6-fold symmetry and the averaged images showed 6 pairs of subfilaments, which gives evidence for parallel arrangement of the subfilaments relative to the filament axis. This result was confirmed by the second method in which a 3-dimensional reconstruction was made. An average image was made from the images of the same 17 myosin filaments from each of the three sections. The data for the 3-dimensional reconstruction were collected by tracing the outlines of the structures in the three successive sections. The resulting stereo image shows a parallel arrangement of the subfilaments.     

Subfilament organization in myosin filaments of the fast abdominal muscles of the lobster, Homarus americanus

The myosin filaments of the fast abdominal muscle of the lobster are about 2.7 microns long with a diameter of about 20 nm. They have a low density core in transverse sections except for a short portion in the middle of the filaments about 140 nm in length which is solid. In the solid region the diameter of the filaments is 25 nm. The wall of the filaments is made up of 12 subfilaments arranged in six pairs in a single layer around the wall. The spacing between the subfilaments of a pair is 3.4 nm and the spacing between successive pairs is 8.4 nm. An extra density is present on the inner surface of the wall of the filament along the entire length of the tubular portion of the filament. This density is always adherent to the wall and in serial transverse sections of the same filament its position changes from section to section without any apparent pattern to the change. No structural organization could be detected in this extra density.     

Myosin and paramyosin are organized about a newly identified core structure

Myosin isoforms A and B are differentially localized to the central and polar regions, respectively, of thick filaments in body wall muscle cells of Caenorhabditis elegans (Miller, D. M. III, I. Ortiz, G. C. Berliner, and H. F. Epstein, 1983, Cell, 34:477-490). Biochemical and electron microscope studies of KCl-dissociated filaments show that the myosin isoforms occupy a surface domain, paramyosin constitutes an intermediate domain, and a newly identified core structure exists. The diameters of the thick filaments vary significantly from 33.4 nm centrally to 14.0 nm near the ends. The latter value is comparable to the 15.2 nm diameter of the core structures. The internal density of the filament core appears solid medially and hollow at the poles. The differentiation of thick filament structure into supramolecular domains possessing specific substructures of characteristic stabilities suggests a sequential mode for thick filament assembly. In this model, the two myosin isoforms have distinct roles in assembly. The behavior of the myosins, including nucleation of assembly and determination of filament length, depend upon paramyosin and the core structure as well as their intrinsic molecular properties.     

The influence of pressure on the self-assembly of the thick filament from the myosin of vertebrate skeletal muscle.

The thick-filament-monomeric-myosin equilibrium was prepared from pure myosin at pH 8.1. The application of hydrostatic pressure to the self-assembly equilibrium resulted in a biphasic dissociation curve in which a linear decrease in turbidity (a measure of weight added to or lost from the filament) was followed by a transition to a second pressure-insensitive phase. The first phase represents the effect of hydrostatic pressure on the growth or propagation phase of filament assembly. Here is was shown that hydrostatic pressure served to shorten the filaments in concert towards the bare zone whilst maintaining the narrow length distribution seen at atmospheric pressure; the filament concentration remained constant during the experiment. A more precise definition of the delta-v for the assembly of monomer into filament was obtained than had hitherto been possible. The positioning of the bare zone at the centre of the filament seems to be one of the more obvious functions of the length-regulation mechanism. It also appears that all the basic structural elements of the native thick filament are potentially present in the pH 8.1 homopolymer; its length can be increased by physiological concentrations of MgCl2 and decreased by pressure. The monodisperse native filament could then be formed by a fine tuning of the basic length-regulation mechanism of the homopolymer by the co-polymerization of the other thick-filament proteins.     

Myosin thick filaments from adult rabbit skeletal muscles

Myosin subfragment 1 (S1) forms dimers in the presence of Mg(2+) or MgADP or MgATP. The entire myosin molecule forms head-head dimers in the presence of MgATP. The angle between the two subunits in the S1 dimer is 95 degrees. Assuming that the length of the globular part of S1 is approximately 12 nm and that the S1/S2 joint (lever arm approximately 7 nm) is clearly bent, the cylinder tangent to this dimer should have a diameter of approximately 18 nm, close to the approximately 16-20 nm suggested by many studies for the diameter of thick filaments in situ. These conclusions led us to re-examine our previous model, according to which two heads from two opposite myosin molecules are inserted into the filament core and interact as dimers. We studied synthetic filaments by electron microscopy, enzyme activity assays, controlled digestion and filament-filament interaction analysis. Synthetic filaments formed by rapid dilution in the presence of 1 mM EDTA at room temperature ( approximately 22 degrees C) had all their myosin heads outside the backbone. These filaments are called superfilaments (SF). Synthetic filaments formed by slow dilution, in the presence of either 2 mM Mg(2+) or 0.5 mM MgATP and at low temperature ( approximately 0 degrees C) had one myosin head outside the backbone and one head inside. These filaments are called filaments (F). Synthetic filaments formed by slow dilution, in the presence of 4 mM MgATP at low temperature ( approximately 0 degrees C) had most of their heads inserted in the filament core. These filaments are called antifilaments (AF). These experimental results provide important new information about myosin synthetic filaments. In particular, we found that myosin heads were involved in filament assembly and that filament-filament interactions can occur via the external heads. Native filaments (NF) from rabbit psoas muscle were also studied by enzyme assays. Their structure depended on the age of the rabbit. NF from 4-month-old rabbits were three-stranded, i.e. six myosin heads per crown, two of which were inside the core and four outside. NF from 18-month-old rabbits were two-stranded (similar to F).     

The myofilament lattice: studies on isolated fibers. IV. Lattice equilibria in striated muscle.

Accounts of similarities between the thick filament lattice of striated muscle and smectic liquid-crystalline structures have focused upon an equilibrium between electrostatic (repulsive) and van der Waal's (attractive) forces. In living, intact muscle the fiber volume constitutes an additional important parameter which influences the amount of interaxial separation between the filaments. This is demonstrable by comparison of the lattice behavior of living fibers with that of fibers from which the sarcolemma has either been removed or made leaky by glycerination. These comparisons were made mainly by low-angle X-ray diffraction under conditions of changes in sarcomere length, ionic strength or osmolarity, and pH. Single fibers with the sarcolemma removed and glycerinated muscle have lattices which behave in accord with equilibrium liquid-crystalline systems in which the thick filament spacing is determined by the balance between electrostatic and van der Waal's forces. Conversely, osmotic and shortening studies demonstrate that the living, intact muscle has a lattice which behaves in accord with the so-called non-equilibrium (volume-constrained) liquid-crystalline condition in which the interaxial separation between the thick filaments is solely due to the amount of volume available as determined by the Donnan steady-state across the sarcolemma.     

Effects of C-protein on synthetic myosin filament structure.

In the absence of C-protein, synthetic filaments prepared from column-purified myosin exhibit the following features: individual filament diameters are uniform over a long length, but a wide distribution of diameters is apparent over the population; approximately 25% of the filaments have a frayed appearance and take up stain poorly, whereas the remaining 75% are well-stained; optical diffraction of well-stained filaments reveals a 14.3-nm subunit period and a 43-nm axial period (Koretz, 1978; Koretz, 1979). Addition of C-protein to myosin before filament formation affects all of these features in a manner related to C-protein concentration. At the physiological ratio of C-protein to myosin in the banded region of the natural thick filament, synthetic aggregates are uniform in diameter over the population and show less than 10% frays. Whereas the subunit period remains unchanged, the axial period has increased to 114.4 nm, or eight times the subunit repeat. Above and below the physiological ratio, disorder of a specific nature is apparent. Addition of C-protein after filament formation appears to coat the aggregates so that elements of backbone ultrastructure are obscured, and some evidence of axial period change is visible in diffraction patterns. A model is presented for the binding of C-protein to myosin, and its observed effects on filament structure are explained in terms of this model.     

Assembly of thick filaments and myofibrils occurs in the absence of the myosin head

We investigated the importance of the myosin head in thick filament formation and myofibrillogenesis by generating transgenic Drosophila lines expressing either an embryonic or an adult isoform of the myosin rod in their indirect flight muscles. The headless myosin molecules retain the regulatory light-chain binding site, the alpha-helical rod and the C-terminal tailpiece. Both isoforms of headless myosin co-assemble with endogenous full-length myosin in wild-type muscle cells. However, rod polypeptides interfere with muscle function and cause a flightless phenotype. Electron microscopy demonstrates that this results from an antimorphic effect upon myofibril assembly. Thick filaments assemble when the myosin rod is expressed in mutant indirect flight muscles where no full-length myosin heavy chain is produced. These filaments show the characteristic hollow cross-section observed in wild type. The headless thick filaments can assemble with thin filaments into hexagonally packed arrays resembling normal myofibrils. However, thick filament length as well as sarcomere length and myofibril shape are abnormal. Therefore, thick filament assembly and many aspects of myofibrillogenesis are independent of the myosin head and these processes are regulated by the myosin rod and tailpiece. However, interaction of the myosin head with other myofibrillar components is necessary for defining filament length and myofibril dimensions.     

The myosin filament: VII. Changes in internal structure along the length of the filament

Improved fixation procedures have enabled substructure to be observed by electron microscopy in transverse sections of vertebrate skeletal muscle thick filaments as thin as 140 nm. Optical diffraction combined with digital autocorrelation analysis, focal series and tilting experiments have confirmed the presence of a regular substructure having a repeat near 4 nm and shown that it is highly unlikely to be an artifact associated with the electron microscope imaging system. The results obtained strongly suggest that the thick filament is constructed from a bundle of rod-like subfilaments arranged parallel to the thick filament axis to within less than a degree. This cannot easily be reconciled with the general theory of thick filament structure proposed by Squire (1973), but it is consistent with the model proposed by Pepe, 1966, Pepe, 1967. Optical diffraction of 140 nm thick serial transverse sections has also suggested a structural change along the length of the filament that is manifest by a variation in the proportion of filaments showing strong diffraction maxima in one, two or three directions.     

Actin filament severing by cofilin

Cofilin is essential for cell viability and for actin-based motility. Cofilin severs actin filaments, which enhances the dynamics of filament assembly. We investigated the mechanism of filament severing by cofilin with direct fluorescence microscopy observation of single actin filaments in real time. In cells, actin filaments are likely to be attached at multiple points along their length, and we found that attaching filaments in such a manner greatly increased the efficiency of filament severing by cofilin. Cofilin severing increased and then decreased with increasing concentration of cofilin. Together, these results indicate that cofilin severs the actin filament by a mechanism of allosteric and cooperative destabilization. Severing is more efficient when relaxation of this cofilin-induced instability of the actin filament is inhibited by restricting the flexibility of the filament. These conclusions have particular relevance to cofilin function during actin-based motility in cells and in synthetic systems.     

Periodically arranged interactions within the myosin filament backbone revealed by mechanical unzipping

Numerous types of biological motion are driven by myosin thick filaments. Although the exact structure of the filament backbone is not known, it has long been hypothesized that periodically arranged charged regions along the myosin tail are the main contributors to filament stability. Here we provide a direct experimental test of this model by mechanically pulling apart synthetic myosin thick filaments. We find that unzipping is accompanied by broad force peaks periodically spaced at 4-, 14- and 43-nm intervals. This spacing correlates with the repeat distance of highly charged regions along the myosin tail. Lowering ionic strength does not change force-peak periodicity but increases the forces necessary for unzipping. The force peaks are partially reversible, indicating that the interactions are rapidly re-established upon mechanical relaxation. Thus, the zipping together of myosin tails via consecutive formation of periodically spaced bonds may be the underlying mechanism of spontaneous thick filament formation.     

Titin and the sarcomere symmetry paradox

Titin is thought to play a major role in myofibril assembly, elasticity and stability. A single molecule spans half the sarcomere and makes interactions with both a thick filament and the Z-line. In the unit cell structure of each half sarcomere there is one thick filament with 3-fold symmetry and two thin filaments with approximately 2-fold symmetry. The minimum number of titin molecules that could satisfy both these symmetries is 12. We determined the actual number of titin molecules in a unit cell from scanning transmission electron microscopy mass measurements of end-filaments. One of these emerges from each tip of the thick filament and is thought to be the in-register aggregate of the titin molecules associated with the filament. The mass per unit length of the end-filament (17.1 kDa/nm) is consistent with six titin molecules not 12. Thus the number of titin molecules present is insufficient to satisfy both symmetries. We suggest a novel solution to this paradox in which four of the six titin molecules interact with the two thin filaments in the unit cell, while the remaining two interact with the two thin filaments that enter the unit cell from the adjacent sarcomere. This arrangement would augment mechanical stability in the sarcomere.     

Dynamic light scattering study of the effect of Mg2+ and ATP on synthetic myosin filaments.

The dynamic light scattering (DLS) method provides us with information about the apparent diffusion coefficient, Dapp, as well as the static scattering intensity, Is, of particles in solution. For long but thin rods with length L and diameter d, the dependence on L and d of Dapp is quite different from that of Is. By means of DLS we studied synthetic myosin filaments of rabbit skeletal muscle in solution at pH 8.3 and 10 degrees C. It appeared that Mg2+ ions induced thickening and lengthening of the filaments, whereas ATP (and ADP) induced thinning and shortening (depolymerization) of the filaments. When ATP was added to the filament preparation in the presence of Mg2+ ions, it was clearly observed that thinning of the filament (or splitting into subfilaments) occurred before shortening (or depolymerization).