Structural changes during activation of frog muscle studied by time-resolved X-ray diffraction

The pattern given by contracting frog muscle can be followed with high time resolution using synchrotron radiation as a high-intensity X-ray source. We have studied the behaviour of the second actin layer-line (axial spacing of approximately 179 A) at an off-meridional spacing of approximately 0.023 A-1, a region of the diagram that is sensitive to the position of tropomyosin in the thin filaments. In confirmation of earlier work, we find that there is a substantial increase in the intensity of this part of the pattern during contraction. We find that the reflection reaches half its final intensity about 17 milliseconds after the stimulus at 6 degrees C. The changes in the equatorial reflections, which arise from movement of crossbridges towards the thin filaments, occur with a delay of about 12 to 17 milliseconds relative to this change in the actin pattern. In over-stretched muscle, where thick and thin filaments no longer overlap, the changes in the actin second layer-line still take place upon stimulation with a time course and intensity similar to that observed at full overlap. This indicates that tropomyosin movement, in response to calcium binding to troponin, is the first structural step in muscular contraction, and is the prerequisite for myosin binding. A change in intensity similar to that found in contracting muscle is seen in rigor, where tropomyosin is probably locked in the active position. During relaxation the earlier stages in the decrease in intensity of the second actin layer-line take place significantly sooner after the last stimulus than tension decay. In over-stretched muscles the intensity decay is appreciably faster than in the same muscles at rest length, where attached crossbridges may interfere with the return of tropomyosin to its resting position.     

Rigor crossbridges are double-headed in fast muscle from crayfish

The structure of rigor crossbridges was examined by comparing rigor crossbridges in fast muscle fibers from glycerol-extracted abdominal flexor muscle of crayfish with those in "natively decorated" thin filaments from the same muscle. Natively decorated thin filaments were obtained by dissociating the backbone of the myosin filaments of rigor myofibrils in 0.6 M KCl. Intact fibers were freeze-fractured, deep-etched, and rotary shadowed; isolated filaments were either negatively stained or freeze dried and rotary shadowed. The crossbridges on the natively decorated actin maintain the original spacing and the disposition in chevrons and double chevrons for several hours, indicating that no rearrangement of the actomyosin interactions occurs. Thus the crossbridges of the natively decorated filaments were formed within the geometrical constraints of the intact myofibril. The majority of crossbridges in the intact muscle have a triangular shape indicative of double-headed crossbridge. The triangular shape is maintained in the isolated filaments and negative staining resolves two heads in a single crossbridge. In the isolated filaments, crossbridges are attached at uniform acute angles. Unlike those in insect flight muscle (Taylor et al., 1984), lead and rear elements of the double chevron may be both double-headed. Deep-etched images reveal a twisted arrangement of subfilaments in the backbone of the thick filament.     

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

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

Reciprocal coupling between troponin C and myosin crossbridge attachment

The attachment of cycling myosin crossbridges to actin and the resultant muscle contraction are regulated in skeletal muscle by the binding of Ca2+ to the amino-terminal, regulatory sites of the troponin C (TnC) subunit of the thin filament protein troponin. Conversely, the attachment of crossbridges to actin has been shown to alter the affinity of TnC for Ca2+. In this study, fluorescently labeled TnC incorporated into reconstituted thin filaments was used to investigate the relationship between crossbridge attachment to actin and structural changes in the amino-terminal region of TnC. Fluorescence intensity changes were measured under the following conditions: saturating [Ca2+] in the absence of crossbridges, rigor crossbridge attachment in the presence and absence of Ca2+, and cycling crossbridge attachment. The percent of heavy meromyosin crossbridges associated with the thin filaments under these conditions was also determined. The results show that, in addition to the binding of Ca2+ to TnC, the attachment of both rigor and cycling crossbridges to actin alters the structure of TnC near the regulatory, Ca2+-specific sites of the molecule. A differential coupling between weakly versus strongly bound crossbridge states and TnC structure was detected, suggesting a possible differential regulation of these states by conformational changes in TnC. These findings illustrate a reciprocal coupling, via thin filament protein interactions, between structural changes in TnC and the attachment of myosin crossbridges to actin, such that each can influence the other, and indicate that TnC is not simply an on-off switch but may exist in a number of different conformations.     

A fluorescence depolarization study of the orientational distribution of crossbridges in muscle fibres

A fluorescence depolarization study of the orientational distribution of crossbridges in dye-labelled muscle fibres is presented. The characterization of this distribution is important since the rotation of crossbridges is a key element in the theory of muscle contraction. In this study we exploited the advantages of angle-resolved experiments to characterize the principal features of the orientational distribution of the crossbridges in the muscle fibre. The directions of the transition dipole moments in the frame of the dye and the orientation and motion of the dye relative to the crossbridge determined previously were explicitly incorporated into the analysis of the experimental data. This afforded the unequivocal determination of all the second and fourth rank order parameters. Moreover, this additional information provided discrimination between different models for the orientational behaviour of the crossbridges. Our results indicate that no change of orientation takes place upon a transition from rigor to relaxation. The experiments, however, do no rule out a conformational change of the myosin S 1 during the transition. Correspondence to: Y. K. Levine     

X-ray diffraction studies on muscle regulation

Using the intensity of the outer part of the second actin layer line as an indicator of thin filament conformation in vertebrate muscle we were able to identify the four different states of rest, and the three states induced by the presence of Ca²⁺ ions, rigor bridge attachment and actively cycling bridges, respectively. These findings are in qualitative agreement with a number of biochemical studies by Eisenberg and Greene and others, indicating that activation of the thin filament depends both on Ca²⁺ ions and crossbridge binding. Yet quantitatively, the biochemical data and our structural data are contradictory. Whereas the biochemical studies suggest a strong coupling between structural changes of the thin filament and the ATPase activity, the structural studies indicate that this is not necessarily the case.Troponin molecules also change their conformation upon activation depending on both Ca²⁺ ions and crossbridge binding as demonstrated by the early part of the time course of the thin filament meridional reflections in contracting frog muscle.Low ionic strength which has been shown by Brenner and collaborators to increase weakly binding crossbridges in relaxed rabbit psoas muscle does not influence the intensity of the second actin layer line in this muscle. Yet in contracting frog muscle the increase of the second actin layer line increases very rapidly in one step, suggesting that weak binding bridges which are attached to actin prior to force production may indeed influence the thin filament conformation. It therefore appears that weakly bound bridges in the low ionic strength state do not have the same effect on the thin filament conformation as weakly bound bridges in an actively contracting muscle.Arthropod muscles like the thin filament regulated lobster muscles differ from vertebrate muscle in not showing an increase of the second layer line during contraction, which may have to do with differences in crossbridge attachment. The myosin-regulated molluscan muscle ABRM shows a large increase on the second actin layer line upon phasic contraction and a much smaller increase in catch or rigor, indicating that actively cycling bridges influence the thin filament conformation differently than catch or rigor bridges.Several pieces of evidence which we have briefly outlined in this paper suggest that the thin filament conformational changes we have observed do not arise solely from tropomyosin movements and that conformational changes of actin domains should be considered.     

Structure of the myosin filaments of relaxed and rigor vertebrate striated muscle studied by rapid freezing electron microscopy.

Rapid freezing followed by freeze-substitution has been used to study the ultrastructure of the myosin filaments of live and demembranated frog sartorius muscle in the states of relaxation and rigor. Electron microscopy of longitudinal sections of relaxed specimens showed greatly improved preservation of thick filament ultrastructure compared with conventional fixation. This was revealed by the appearance of a clear helical arrangement of myosin crossbridges along the filament surface and by a series of layer line reflections in computed Fourier transforms of sections, corresponding to the layer lines indexing on a 43 nm repeat in X-ray diffraction patterns of whole, living muscles. Filtered images of single myosin filaments were similar to those of negatively stained, isolated vertebrate filaments and consistent with a three-start helix. M-line and other non-myosin proteins were also very well preserved. Rigor specimens showed, in the region of overlapping myosin and actin filaments, periodicities corresponding to the 36, 24, 14.4 and 5.9 nm repeats detected in X-ray patterns of whole muscle in rigor; in the H-zone they showed a disordered array of crossbridges. Transverse sections, whose Fourier transforms extend to the (3, 0) reflection, supported the view, based on X-ray diffraction and conventional electron microscopy, that in the overlap zone of relaxed muscle most of the crossbridges are detached from the thin filaments while in rigor they are attached. We conclude that the rapid freezing technique preserves the molecular structure of the myofilaments closer to the in vivo state (as monitored by X-ray diffraction) than does normal fixation.     

Overrelaxation of muscle models in media with high concentrations of calcium ions and exposed to MgATP in "contraction-inducing" concentrations]

Cross-striation pattern and sarcomere length in isolated myofibrils (both glycerinated and fresh) as well as isometric tension of glycerinated fibers of rabbit m. psoas are unaffected by an evaluation in ionic strength of CaCl2 up to 0.2 in the absence of ATP. An addition of MgATP (1 to 3mM) to the Ca2+ media induces the changes which have been shown to be characteristic of overrelaxation [1, 2]: A band shortening occurs followed by a complete plastification of the fibres. A tentative mechanism of the process is discussed in terms of spontaneous rearrangement of calcium myosinate packing in thick filaments that follows disrupting of rigor crossbridges with thin filaments under the action of ATP. Released calcium myosinate heads fail to form "active" bridges with actin; thick filaments undergo a conformational change resulted in their shattening due to increase in the equilibrium region of LMM tail overlap. The effects do not depend on ionic strength only: on replacing CaCl2 by KCl at equal ionic strength 0.2, an addition of ATP induces normal contraction instead of overrelaxation. A possibility is discussed that in a living muscle overrelaxation could provide a siding to prevent damage in case of emergency.     

Models of contractile units and their assembly in smooth muscle

It is believed that the contractile filaments in smooth muscle are organized into arrays of contractile units (similar to the sarcomeric structure in striated muscle), and that such an organization is crucial for transforming the mechanical activities of actomyosin interaction into cell shortening and force generation. Details of the filament organization, however, are still poorly understood. Several models of contractile filament architecture are discussed here. To account for the linear relationship observed between the force generated by a smooth muscle and the muscle length at the plateau of an isotonic contraction, a model of contractile unit is proposed. The model consists of 2 dense bodies with actin (thin) filaments attached, and a myosin (thick) filament lying between the parallel thin filaments. In addition, the thick filament is assumed to span the whole contractile unit length, from dense body to dense body, so that when the contractile unit shortens, the amount of overlap between the thick and thin filaments (i.e., the distance between the dense bodies) decreases in exact proportion to the amount of shortening. Assembly of the contractile units into functional contractile apparatus is assumed to involve a group of cells that form a mechanical syncytium. The contractile apparatus is assumed malleable in that the number of contractile units in series and in parallel can be altered to accommodate strains on the muscle and to maintain the muscle's optimal mechanical function.     

电磁场对青蛙骨骼肌单根肌纤维效应的研究

电磁场对完整和去膜青蛙肌纤维作用的比较研究表明,交变电场通过改变膜电位引起肌肉收缩,在此过程中收缩蛋白质的空间位置而非自身构象发生变化,横桥尤其是S－2片段,在伴随横桥从弱耦合状态向强耦合状态过渡时远离粗肌丝而向细肌丝运动,使其与粗肌丝骨架的平均取向比松弛状态或静息状态时相对增大．一般强度恒定磁场对肌纤维膜电位状态及肌纤维内部蛋白质分子的运动及其相互作用影响极其微弱．     

A comparison of muscle thin filament models obtained from electron microscopy reconstructions and low-angle X-ray fibre diagrams from non-overlap muscle

The regulation of striated muscle contraction involves changes in the interactions of troponin and tropomyosin with actin thin filaments. In resting muscle, myosin-binding sites on actin are thought to be blocked by the coiled-coil protein tropomyosin. During muscle activation, Ca2+ binding to troponin alters the tropomyosin position on actin, resulting in cyclic actin-myosin interactions that accompany muscle contraction. Evidence for this steric regulation by troponin-tropomyosin comes from X-ray data [Haselgrove, J.C., 1972. X-ray evidence for a conformational change in the actin-containing filaments of verterbrate striated muscle. Cold Spring Habor Symp. Quant. Biol. 37, 341-352; Huxley, H.E., 1972. Structural changes in actin and myosin-containing filaments during contraction. Cold Spring Habor Symp. Quant. Biol. 37, 361-376; Parry, D.A., Squire, J.M., 1973. Structural role of tropomyosin in muscle regulation: analysis of the X-ray diffraction patterns from relaxed and contracting muscles. J. Mol. Biol. 75, 33-55] and electron microscope (EM) data [Spudich, J.A., Huxley, H.E., Finch, J., 1972. Regulation of skeletal muscle contraction. II. Structural studies of the interaction of the tropomyosin-troponin complex with actin. J. Mol. Biol. 72, 619-632; O'Brien, E.J., Gillis, J.M., Couch, J., 1975. Symmetry and molecular arrangement in paracrystals of reconstituted muscle thin filaments. J. Mol. Biol. 99, 461-475; Lehman, W., Craig, R., Vibert, P., 1994. Ca2+-induced tropomyosin movement in Limulus thin filaments revealed by three-dimensional reconstruction. Nature 368, 65-67] each with its own particular strengths and limitations. Here we bring together some of the latest information from EM analysis of single thin filaments from Pirani et al. [Pirani, A., Xu, C., Hatch, V., Craig, R., Tobacman, L.S., Lehman, W. (2005). Single particle analysis of relaxed and activated muscle thin filaments. J. Mol. Biol. 346, 761-772], with synchrotron X-ray data from non-overlapped muscle fibres to refine the models of the striated muscle thin filament. This was done by incorporating current atomic-resolution structures of actin, tropomyosin, troponin and myosin subfragment-1. Fitting these atomic coordinates to EM reconstructions, we present atomic models of the thin filament that are entirely consistent with a steric regulatory mechanism. Furthermore, fitting the atomic models against diffraction data from skinned muscle fibres, stretched to non-overlap to preclude crossbridge binding, produced very similar results, including a large Ca2+-induced shift in tropomyosin azimuthal location but little change in the actin structure or apparent alteration in troponin position.     

The sliding filament model of muscle contraction. II. The energetic and dynamical predictions of a quantum mechanical transducer model

A theoretical model of a molecular energy transducing unit designed for the production of mechanical work is constructed and its consequences examined and compared with the experimentally determined myothermal and dynamic properties of vertebrate striated muscle. The model rests on a number of independent assumptions which include: the almost instantaneous generation of mechanical force by the occurrence of a radiationless transition between vibronic states of the transducer (crossbridge) at a point of potential energy surface crossing; transmission of this force to the load via the active sites on the thin filament by means of non-bonding repulsive forces, no energy being required for detachment; “detachment” consists of a second radiationless transition at a lower energy point than the first force generating transition, the energy difference appearing largely as work. The method of force generation completely avoids problems such as the “force-rate dilemma” which occur repeatedly in any discussion where state populations are near-Boltzmann and also leads without further arbitrary assumptions to such concepts as “attached but non force-producing states” and strongly position dependent “attachment” and “detachment” rate constants since these can only be appreciable near potential energy surface crossings. The kinetics and energetics of a transducer of this type operating cyclically and converting ATP → ADP + P_i are considered and shown to lead to length-tension and energetic behaviour very similar to that exhibited by vertebrate striated muscle, both for contraction and stretching. The existence of a limiting tension for stretching is predicted by the model as is the decrease of the rate of enthalpy release rate below the isometric value. At the limiting tension the rate of enthalpy release by the transducers is virtually zero, as observed. However, the stretching only inhibits the ATP hydrolysis, the cyclic synthesis from ADP and work being impossible with this model. The response to rapid length step changes automatically contains the asymmetry observed experimentally (with respect to lengthening and shortening) and arbitrary assumptions over and above those giving adequate explanation of the steady-state properties are not required. The asymmetry arises mainly as a consequence of the non-bonded pushing action of the crossbridges. This same assumption predicts the occurrence of an asymmetric thermoelastic ratio for active muscle with respect to stretching and contraction. The quantitative aspects of the model are satisfactory as it simultaneously reconciles the numerical magnitudes of macroscopic quantities such as isometric tension, maximum contraction velocity, limiting tension sustainable on stretching, isometric heat rate and resting heat rate with molecular parameters such as the filament and crossbridge periodicities, molecular vibrational relaxation rates, recurrence times for the radiationless transitions occurring, etc. This is achieved without any parameter optimization and only a very much smaller number of unknown parameters than the number of observed results accounted for. Many of the entities occurring in the model cycle (vibronic states of crossbridges, ATP, etc.) appear to be in one-to-one correspondence with many of the kinetic entities postulated to account for the biochemical kinetic results obtained for the actomyosin ATPase system in vitro. Finally, the rigor state has to be viewed in a different way from the conventional one; on the basis that the present model states which are part of the contraction cycle but sparsely populated during the latter (and hence are of chemical kinetic but not dynamical importance) are heavily populated during the rigor state. The mechanical properties of the rigor state would then be determined by these molecular states which would be very short-lived during the contraction cycle. If this is correct the rigor state could yield much more information about inaccessible parts of the contraction cycle than is presently supposed. The model leads one to expect a rather different response to quick length step changes in the rigor state from that of the active state, in contrast to current interpretations in terms of a large number of attached crossbridges, unable to detach due to the absence of ATP.     

A model of muscle contraction based on the Langevin equation with actomyosin potentials

We propose a muscle contraction model that is essentially a model of the motion of myosin motors as described by a Langevin equation. This model involves one-dimensional numerical calculations wherein the total force is the sum of a viscous force proportional to the myosin head velocity, a white Gaussian noise produced by random forces and other potential forces originating from the actomyosin structure and intra-molecular charges. We calculate the velocity of a single myosin on an actin filament to be 4.9–49 μm/s, depending on the viscosity between the actomyosin molecules. A myosin filament with a hundred myosin heads is used to simulate the contractions of a half-sarcomere within the skeletal muscle. The force response due to a quick release in the isometric contraction is simulated using a process wherein crossbridges are changed forcibly from one state to another. In contrast, the force response to a quick stretch is simulated using purely mechanical characteristics. We simulate the force–velocity relation and energy efficiency in the isotonic contraction and adenosine triphosphate consumption. The simulation results are in good agreement with the experimental results. We show that the Langevin equation for the actomyosin potentials can be modified statistically to become an existing muscle model that uses Maxwell elements.     

On a simple way to verify the experimental agreement of any two-state mathematical model of muscle contraction

In the usual theories of muscular contraction, the crossbridges are considered to be the force generators leading to the sliding of the thick and the thin filaments past each other. The first mathematical treatment of such models was that of Huxley (1957) and since this date the formalism has been continuously improved. Here we have obtained a relation identifiable to the mathematical expression of the Fenn effect. This relation leads to a new expression of the tension P(V), which must be compared with that directly obtained from mechanical considerations. These two expressions do not fit in the currently accepted two-state models.     

A program for developing a comprehensive mathematical description of the crossbridge cycle of muscle.

We describe a computer modeling system for determining the changes of force, fraction of attached crossbridges, and crossbridge flux rate through a specifiable transition in response to length changes imposed on a crossbridge model of muscle. The crossbridge cycle is divided into multiple attached and detached states. The rates of transition from one state to another are defined by rate coefficients that can either be constant or vary with the position of the crossbridge relative to the thin-filament attachment site. This scheme leads to a system of differential equations defining the rates of change for the fractions of bridges in each state. Solutions for this system of equations are obtained at specified times during and after a length change using a method for systems with widely varying time constants (C. W. Gear, 1971, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ). Crossbridges are divided into discrete populations that differ both in their axial displacement with respect to thin filament attachment sites and with respect to the twist of the actin helix. Separate solutions are made for the individual populations and are then averaged to obtain the ensemble response. Force is determined as the sum of the product of the force associated with each state multiplied by the fraction of bridges in that state. A measure of metabolic rate is determined as the net flux through one of the crossbridge transitions. When the force-extension characteristics of the individual crossbridges are linear and the filaments are noncompliant the fraction of attached bridges is equivalent to sarcomere stiffness. To illustrate the operation of the program, we also describe here some results obtained with a simplified scheme.     

Alterations of crossbridge angle induced by beta, gamma-imido-adenosine-triphosphate. Electron microscope and optical diffraction studies on myofibrillar fragments of abdominal muscles of the crayfish Orconectes limosus.

The molecular basis of muscle contraction is thought to consist of cyclic movements of parts of the myosin molecules (crossbridges). Unitl now different states of the proposed crossbridge cycle could be stablilized and demonstrated by electron microscopy only in the case of highly specialized insect flight muscles. In this paper evidence is presented that it is also possible to induce crossbridge positions corresponding to the rigor [16] and the pseudorelaxed state [3] in non-insect muscles. Homogenization of myofibrils of the abdominal flexors of the crayfish Orconectes limosus in rigor or AMP.PNP-containing solutions brings about two different crossbridge patterns: The formation of crossbridges attached to the actin filaments in a mainly acute (rigor) or in a mainly perpendicular angle (pseudo-relaxed). Optical diffraction patterns taken from electron micrographs of sarcomere fragments are likewise compatible with those taken from sarcomeres of insect flight muscles fixed in comparable conditions [2,3].     

Behaviour of the crossbridges in stretched or compressed muscle fibres

The maximum chord of the myosin heads is comparable to the closest surface-to-surface spacing between the myofilaments in a muscle at the slack length. Therefore, when the sarcomere length increases or when the fibre is compressed, the surface-to-surface myofilament spacing becomes lower than the head long axis. We conclude that, in stretched or compressed fibres, some crossbridges cannot attach, owing to steric hindrance. When the amount of compression is limited, this hindrance may be overcome by a tilting of the heads in the plane perpendicular to the filament axes; in this case, there is no consequence as concerns the crossbridge properties. In highly compressed fibres, the crossbridges become progressively hindered and all the crossbridges are hindered for an axis-to-axis spacing representing about 60% of the spacing observed under zero external osmotic pressure. In this case, both the isometric tension and the ATPase activity of the fibre are zero. In fibres stretched up to 3.77 microns (sarcomere length corresponding to the disappearance of the overlap between the thick and the thin filaments), the ratio of hindered crossbridges over the functional crossbridges may be estimated at about 55%. In stretched fibres, a noticeable proportion of crossbridges are sterically hindered and the crossbridges performance (e.g. constants of attachment and detachment) depends on filament spacing, i.e. on sarcomere length. Therefore, we think it is probably impossible to consider the crossbridges as independent force converters, since this idea requires that the crossbridge properties are independent of sarcomere length. In this connection, all the experiments performed on osmotically compressed fibres are of major importance for the understanding of the true mechanisms of muscle contraction.     

Ca2+- and S1-induced conformational changes of reconstituted skeletal muscle thin filaments observed by fluorescence energy transfer spectroscopy: structural evidence for three States of thin filament

Rabbit skeletal muscle alpha-tropomyosin (Tm) and the deletion mutant (D234Tm) in which internal actin-binding pseudo-repeats 2, 3, and 4 are missing [Landis et al. (1997) J. Biol. Chem. 272, 14051-14056] were used to investigate the interaction between actin and tropomyosin or actin and troponin (Tn) by means of fluorescence resonance energy transfer (FRET). FRET between Cys-190 of D234Tm and Gln-41 or Cys-374 of actin did not cause any significant Ca2+-induced movement of D234Tm, as reported previously for native Tm [Miki et al. (1998) J. Biochem. 123, 1104-1111]. FRET did not show any significant S1-induced movement of Tm and D234Tm on thin filaments either. The distances between Cys-133 of TnI, and Gln-41 and Cys-374 of actin on thin filaments reconstituted with D234Tm (mutant thin filaments) were almost the same as those on thin filaments with native Tm (wild-type thin filaments) in the absence of Ca2+. Upon binding of Ca2+ to TnC, these distances on mutant thin filaments increased by approximately 10 A in the same way as on wild-type thin filaments, which corresponds to a Ca2+-induced conformational change of thin filaments [Miki et al. (1998) J. Biochem. 123, 324-331]. The rigor binding of myosin subfragment 1 (S1) further increased these distances by approximately 7 A on both wild-type and mutant thin filaments when the thin filaments were fully decorated with S1. This indicates that a further conformational change on thin filaments was induced by S1 rigor-binding (S1-induced or open state). Plots of the extent of S1-induced conformational change vs. molar ratio of S1 to actin showed that the curve for wild-type thin filaments is hyperbolic, whereas that for mutant thin filaments is sigmoidal. This suggests that the transition to the S1-induced state on mutant thin filaments is depressed with a low population of rigor S1. In the absence of Ca2+, the distance also increased on both wild-type and mutant thin filaments close to the level in the presence of Ca2+ as the molar ratio of S1 to actin increased up to 1. The curves are sigmoidal for both wild-type and mutant thin filaments. The addition of ATP completely reversed the changes in FRET induced by rigor S1 binding. For mutant thin filaments, the transition from the closed state to the open state in the presence of ATP is strongly depressed, which results in the inhibition of acto-myosin ATPase even in the presence of Ca2+. The present FRET measurements provide structural evidence for three states of thin filaments (relaxed, Ca2+-induced or closed, and S1-induced or open states) for the regulation mechanism of skeletal muscle contraction.     

Models in which many cross-bridges attach simultaneously can explain the filament movement per ATP split during muscle contraction

Contractile filaments in skeletal muscle are moved by less than 2 nm for each ATP used. If just one cross-bridge is attached to each thin filament at any instant then this distance represents the fundamental myosin cross-bridge step size (i.e. the distance one cross-bridge moves a thin filament in one ATP-splitting cycle). However, most contraction models assume many cross-bridges are attached at any instant along each thin filament. The purpose of this study was to establish whether the net filament sliding per ATP used could be explained quantitatively in terms of a cross-bridge model in which multiple cross-bridges are attached along each thin filament. It was found that the relationship between net filament sliding per ATP split and the load against which the muscle shortens is compatible with such a model and furthermore predicts that the cross-bridge step size is between 7.5 and 12.5 nm over most of the range of loads. These values were similar for different muscle fibre types.