Does thin filament compliance diminish the cross-bridge kinetics? A study in rabbit psoas fibers

The effect of thin filament compliance on our ability to detect the cross-bridge kinetics was examined. Our experiment is based on the facts that in rabbit psoas the thin filament (1.12 micrometer) is longer than half the thick filament length (0.82 micrometer) and that the thick filament has a central bare zone (0.16 micrometer). Consequently, when sarcomere length is increased from 2.1 to 2.4 micrometer, the same number of cross-bridges is involved in force generation but extra series compliance is introduced in the I-band. Three apparent rate constants (2pia, 2pib, and 2pic) were characterized by sinusoidal analysis at pCa 4.66. Our results demonstrate that 2pia and 2pib increased 13-16% when sarcomere length was increased from 2.0 to 2.5 micrometer, and 2pic decreased slightly (9%). This slight decrease can be explained by compression of the lattice spacing. These observations are at variance with the expectation based on increased series compliance, which predicts that the rate constants will decrease. We also determined compliance of the I-band during rigor. I-band compliance during rigor induction was 35% of sarcomere compliance at sarcomere length 2.4 micrometer, and 24% at sarcomere length 2.1 micrometer. We conclude that the presence of thin filament compliance does not seriously interfere with our ability to detect cross-bridge kinetics using sinusoidal analysis.     

Length-dependence of actin-myosin interaction in skinned cardiac muscle fibers in rigor

It has been suggested that the length dependence of myofilament Ca2+ sensitivity and of Ca2+ binding to troponin C, observed over the ascending limb of the cardiac force-length curve, is based on variation in the number of interacting cross-bridges. This interaction would be reduced at short sarcomere length as a consequence of double overlap of oppositely polarized actin filaments and increased lateral separation of actin and myosin filaments. Based on current evidence, it is not clear to what extent the actin-myosin interaction is hindered at sarcomere lengths where Ca2+ sensitivity is reduced. We have used two biochemical assays to assess cross-bridge attachment in rigor muscle at sarcomere lengths corresponding to the ascending limb of the cardiac force-length curve. These are based on (1) the inhibition of K+-activated myosin ATPase by the complexation of actin with myosin, and (2) the enhancement of Ca2+ binding to troponin C by rigor bridge attachment to actin. Measurements were made with skinned fibers from bovine ventricle. As a check on our method, measurements were also made with skinned rabbit psoas muscle fibers. With both muscle types, a reduction in sarcomere length along the ascending limb of the force-length curve was associated with an increase in K+-activated ATPase activity and a reduction in Ca2+ binding to the regulatory sites of troponin C. These results indicate that actin-myosin interaction is significantly reduced at short sarcomere length.     

Elastic bending and active tilting of myosin heads during muscle contraction

Muscle contraction is driven by a change in shape of the myosin head region that links the actin and myosin filaments. Tilting of the light-chain domain of the head with respect to its actin-bound catalytic domain is thought to be coupled to the ATPase cycle. Here, using X-ray diffraction and mechanical data from isolated muscle fibres, we characterize an elastic bending of the heads that is independent of the presence of ATP. Together, the tilting and bending motions can explain force generation in isometric muscle, when filament sliding is prevented. The elastic strain in the head is 2.0-2.7 nm under these conditions, contributing 40-50% of the compliance of the muscle sarcomere. We present an atomic model for changes in head conformation that accurately reproduces the changes in the X-ray diffraction pattern seen when rapid length changes are applied to muscle fibres both in active contraction and in the absence of ATP. The model predictions are relatively independent of which parts of the head are assumed to bend or tilt, but depend critically on the measured values of filament sliding and elastic strain.     

Smooth and skeletal muscle myosin both exhibit low duty cycles at zero load in vitro

Smooth muscle's stress equals that of skeletal muscle with less myosin. Thus, under isometric conditions, smooth muscle myosin may spend a greater fraction of its cycle time attached to actin in a high force state (i.e. higher duty cycle). If so, then smooth muscle myosin may also have a higher duty cycle under unloaded conditions. To test this, we used an in vitro motility assay in which fluorescently labeled actin filaments move freely over a sparsely coated (5-100 micrograms/ml) myosin surface. Actin filament velocity (V) was a function of the number of cross-bridges capable of interacting with an actin filament (N) and the duty cycle (f), V = (a x Vmax) x (1-(1-f)N) (Uyeda et al., 1990; Harada et al., 1990). N was estimated from the myosin density on the motility surface and the actin filament length. Data for V versus N were fit to the above equation to predict f. The duty cycle of smooth muscle myosin (4.0 +/- 0.7%) was not significantly different from that of skeletal muscle myosin (3.8 +/- 0.5%) in agreement with values estimated by Uyeda et al. (1990) for skeletal muscle myosin under unloaded conditions. The duty cycles of smooth and skeletal muscle myosin may still differ under isometric conditions.     

Cross-bridge movement in rat slow skeletal muscle as a function of calcium concentration

A single fibre bundle from rat soleus muscle was chemically skinned with saponin and the transfer of myosin heads from the thick filaments to the thin filaments at a sarcomere length of 2.4 microm was measured as a function of Ca2+ concentration using an x-ray diffraction method at 4-7 degrees C. In the relaxed state, the 1,0 spacing was 42.08 nm. The spacing showed no significant decrease when the Ca2+ concentration was below the threshold (-log10 [Ca2+] or pCa 5.8). No significant transfer of the myosin heads occurred when the Ca2+concentration was below the threshold (pCa 5.8). When the muscle was maximally activated at pCa 4.4, the spacing decreased to 40.35 nm. During the maximum isometric contraction at pCa 4.4, 54. 9 +/- 6.5% (+/-SE of the mean) of the myosin heads were transferred to the thin filaments. The transfer of the myosin heads was approximately proportional to relative tension. These results suggest that myosin heads of both fast-twitch and slow-twitch skeletal muscles transferred on the common movement as a function of Ca2+ concentration.     

Phase transition in force during ramp stretches of skeletal muscle

Active glycerinated rabbit psoas fibers were stretched at constant velocity (0.1-3.0 lengths/s) under sarcomere length control. As observed by previous investigators, force rose in two phases: an initial rapid increase over a small stretch (phase I), and a slower, more modest rise over the remainder of the stretch (phase II). The transition between the two phases occurred at a critical stretch (LC) of 7.7 +/- 0.1 nm/half-sarcomere that is independent of velocity. The force at critical stretch (PC) increased with velocity up to 1 length/s, then was constant at 3.26 +/- 0.06 times isometric force. The decay of the force response to a small step stretch was much faster during stretch than in isometric fibers. The addition of 3 mM vanadate reduced isometric tension to 0.08 +/- 0.01 times control isometric tension (P0), but only reduced PC to 0.82 +/- 0.06 times P0, demonstrating that prepowerstroke states contribute to force rise during stretch. The data can be explained by a model in which actin-attached cross-bridges in a prepowerstroke state are stretched into regions of high force and detach very rapidly when stretched beyond this region. The prepowerstroke state acts as a mechanical rectifier, producing large forces during stretch but small forces during shortening.     

Single myosin molecule mechanics: piconewton forces and nanometre steps

A new in vitro assay using a feedback enhanced laser trap system allows direct measurement of force and displacement that results from the interaction of a single myosin molecule with a single suspended actin filament. Discrete stepwise movements averaging 11 nm were seen under conditions of low load, and single force transients averaging 3-4 pN were measured under isometric conditions. The magnitudes of the single forces and displacements are consistent with predictions of the conventional swinging-crossbridge model of muscle contraction.     

Muscle proteins--their actions and interactions

Muscle contracts by the myosin cross-bridges "rowing' the actin filaments past the myosin filaments. In the past year many structural details of this mechanism have become clear. Structural studies indicate distinct states for myosin S1 in the rigor, ATP or "down' conformation and in the products complex (ADP.Pi) or "up' to state. Crystallographic studies substantiate this classification and yield details of the transformation. The isomerization "up' to "down' is the power stroke of muscle. This consists in the main of large changes of angle of the "lever arm' (at the distal part of the myosin head) which can account for an 11 nm power stroke.     

Three-dimensional structure of nucleotide-bearing crossbridges in situ: oblique section reconstruction of insect flight muscle in AMPPNP at 23 degrees C

We have explored the three-dimensional structure of myosin crossbridges in situ in order to define the structural changes that occur when nucleotide binds to the myosin motor. When AMPPNP binds to rigor insect flight muscle, each half sarcomere lengthens by approximately 2.0 nm and tension is reduced by approximately 70% without a reduction in stiffness, suggesting partial reversal of the power stroke. We have obtained averaged oblique section three-dimensional reconstructions of mechanically monitored insect flight muscle in AMPPNP that permit simultaneous examination of all myosin crossbridges within the unit cell and direct comparison of calculated transforms with X-ray diagrams of the native fibers. Transforms calculated from the oblique section reconstruction of AMPPNP insect flight muscle at 23 degrees C show good agreement with native X-ray diagrams, suggesting that the average crossbridge forms in the reconstruction reflect the native structure. In contrast to the rigor lead and rear crossbridges in the double chevrons, the averaged reconstruction of AMPPNP fibers show only one crossbridge class, in the position of the rigor lead bridge. The portion of the crossbridge close to the thick filament appears broader than in rigor, and shows a small 0.5 to 1.0 nm M-ward shift of the regulatory domain region of myosin. In transverse view, AMPPNP "lead" crossbridges are less azimuthally bent than rigor. Fitting the atomic model of actomyosin subfragment 1 to the averaged crossbridges shows that the detectable differences between rigor bridges and between rigor and AMPPNP bridges occur in the alignment and angles of the regulatory domains and suggests that rear bridges are more strained than lead crossbridges. The apparent absence of rear bridges in AMPPNP in averaged reconstructions indicates detachment of a number of force-bearing bridges, which conflicts with the maintained stiffness of the fibers used for the reconstruction. This conflict may be explained if rigor rear bridges become distributed irregularly over more actin sites in AMPPNP, so that their average density is too low to appear in the averaged reconstructions. The reconstructions indicate that in insect flight muscle the response of in situ rigor crossbridges to AMPPNP binding is not uniform. Lead bridges persist but have altered structure in the light chain domain, whereas rear bridges detach and possibly redistribute. Shape changes in attached myosin heads within the myofibrillar lattice are in the appropriate direction and of the appropriate magnitude needed to explain the sarcomere lengthening. This could be a direct response to nucleotide binding, a passive response to rear bridge detachment, or a combination of both.     

Temperature-induced structural changes in the myosin thick filament of skinned rabbit psoas muscle

By using synchrotron radiation and an imaging plate for recording diffraction patterns, we have obtained high-resolution x-ray patterns from relaxed rabbit psoas muscle at temperatures ranging from 1 degree C to 30 degrees C. This allowed us to obtain intensity profiles of the first six myosin layer lines and apply a model-building approach for structural analysis. At temperatures 20 degrees C and higher, the layer lines are sharp with clearly defined maxima. Modeling based on the data obtained at 20 degrees C reveals that the average center of the cross-bridges is at 135 A from the center of the thick filament and both of the myosin heads appear to wrap around the backbone. At 10 degrees C and lower, the layer lines become very weak and diffuse scattering increases considerably. At 4 degrees C, the peak of the first layer line shifts toward the meridian from 0.0047 to 0.0038 A(-1) and decreases in intensity approximately by a factor of four compared to that at 20 degrees C, although the intensities of higher-order layer lines remain approximately 10-15% of the first layer line. Our modeling suggests that as the temperature is lowered from 20 degrees C to 4 degrees C the center of cross-bridges extends radially away from the center of the filament (135 A to 175 A). Furthermore, the fraction of helically ordered cross-bridges decreases at least by a factor of two, while the isotropic disorder (the temperature factor) remains approximately unchanged. Our results on the order/disordering effects of temperature are in general agreement with earlier results of Wray [Wray, J. 1987. Structure of relaxed myosin filaments in relation to nucleotide state in vertebrate skeletal muscle. J. Muscle Res. Cell Motil. 8:62a (Abstr.)] and Lowy et al. (Lowy, J., D. Popp, and A. A. Stewart. 1991. X-ray studies of order-disorder transitions in the myosin heads of skinned rabbit psoas muscles. Biophys. J. 60:812-824). and support Poulsen and Lowy's hypothesis of coexistence of ordered and disordered cross-bridge populations in muscle (Poulsen, F. R., and J. Lowy. 1983. Small angle scattering from myosin heads in relaxed and rigor frog skeletal muscle. Nature (Lond.). 303:146-152.). However, our results added new insights into the disordered population. Present modeling together with data analysis (Xu, S., S. Malinchik, Th. Kraft, B. Brenner, and L. C. Yu. 1997. X-ray diffraction studies of cross-bridges weakly bound to actin in relaxed skinned fibers of rabbit psoas muscle. Biophys. J. 73:000-000) indicate that in a relaxed muscle, cross-bridges are distributed in three populations: those that are ordered on the thick filament helix and those that are disordered; and within the disordered population, some cross-bridges are detached and some are weakly attached to actin. One critical conclusion of the present study is that the apparent order <--> disorder transition as a function of temperature is not due to an increase/decrease in thermal motion (temperature factor) for the entire population, but a redistribution of cross-bridges among the three populations. Changing the temperature leads to a change in the fraction of cross-bridges located on the helix, while changing the ionic strength at a given temperature affects the disordered population leading to a change in the relative fraction of cross-bridges detached from and weakly attached to actin. Since the redistribution is reversible, we suggest that there is an equilibrium among the three populations of cross-bridges.     

How do skinned skeletal muscle fibers relax?

When free calcium is rapidly removed from skinned fibres using the photolabile Ca2+ chelator diazo-2, they relax without an appreciable change in sarcomere length (相似文献   

Disproportionate loss of thin filaments in human soleus muscle after 17-day bed rest

Previously we reported that, after 17-day bed rest unloading of 8 humans, soleus slow fibers atrophied and exhibited increased velocity of shortening without fast myosin expression. The present ultrastructural study examined fibers from the same muscle biopsies to determine whether decreased myofilament packing density accounted for the observed speeding. Quantitation was by computer-assisted morphometry of electron micrographs. Filament densities were normalized for sarcomere length, because density depends directly on length. Thick filament density was unchanged by bed rest. Thin filaments/microm2 decreased 16-23%. Glycogen filled the I band sites vacated by filaments. The percentage decrease in thin filaments (Y) correlated significantly (P < 0.05) with the percentage increase in velocity (X), (Y = 0.1X + 20%, R2 = 0.62). An interpretation is that fewer filaments increases thick to thin filament spacing and causes earlier cross-bridge detachment and faster cycling. Increased velocity helps maintain power (force x velocity) as atrophy lowers force. Atrophic muscles may be prone to sarcomere reloading damage because force/microm2 was near normal, and force per thin filament increased an estimated 30%.     

Compliant realignment of binding sites in muscle: transient behavior and mechanical tuning

The presence of compliance in the lattice of filaments in muscle raises a number of concerns about how one accounts for force generation in the context of the cross-bridge cycle--binding site motions and coupling between cross-bridges confound more traditional analyses. To explore these issues, we developed a spatially explicit, mechanochemical model of skeletal muscle contraction. With a simple three-state model of the cross-bridge cycle, we used a Monte Carlo simulation to compute the instantaneous balance of forces throughout the filament lattice, accounting for both thin and thick filament distortions in response to cross-bridge forces. This approach is compared to more traditional mass action kinetic models (in the form of coupled partial differential equations) that assume filament inextensibility. We also monitored instantaneous force generation, ATP utilization, and the dynamics of the cross-bridge cycle in simulations of step changes in length and variations in shortening velocity. Three critical results emerge from our analyses: 1) there is a significant realignment of actin-binding sites in response to cross-bridge forces, 2) this realignment recruits additional cross-bridge binding, and 3) we predict mechanical behaviors that are consistent with experimental results for velocity and length transients. Binding site realignment depends on the relative compliance of the filament lattice and cross-bridges, and within the measured range of these parameters, gives rise to a sharply tuned peak for force generation. Such mechanical tuning at the molecular level is the result of mechanical coupling between individual cross-bridges, mediated by thick filament deformations, and the resultant realignment of binding sites on the thin filament.     

Orientation dependence of displacements by a single one-headed myosin relative to the actin filament

Displacements of single one-headed myosin molecules in a sparse myosin-rod cofilament were measured from bead displacements at various angles relative to an actin filament by dual optical trapping nanometry. The sparse myosin-rod cofilaments, 5-8 micron long, were synthesized by slowly mixing one-headed myosin prepared by papain digestion with myosin rods at molar ratios of 1:400 to 1:1500, so that one to four one-headed myosin molecules were on average scattered along the cofilament. The bead displacement was approximately 10 nm at low loads ( approximately 0.5 pN) and at angles of 5-10 degrees between the actin and myosin filaments (near physiologically correct orientation). The bead displacement decreased with an increase in the angle. The bead displacement at nearly 90 degrees was approximately 0 nm. When the angle was increased to approximately 150 degrees-170 degrees, the bead displacements increased to 5 nm. A native two-headed myosin showed similar size and orientation dependence of bead displacements as a one-headed myosin.     

Z/I and A-band lattice spacings in frog skeletal muscle: effects of contraction and osmolarity

A-band and Z-line/I-band lattice spacings were measured by small-angle X-ray diffraction from relaxed and isometrically-contracting whole frog sartorius muscles with lattice spacings reduced or swollen by changing the osmolarity of the bathing solution. A-band spacing increased by approximately 3% upon isometric contraction at reduced lattice spacings (245-356 mOsm) and decreased by approximately 1% at swollen spacings (172 mOsm), similarly to the behaviour of skinned muscles upon changing from the relaxed state to rigor. The Z/I lattice underwent a significant lattice expansion (3-8%) upon isometric contraction at all osmolarities, in qualitative agreement (but quantitative disagreement) with results from electron microscopy on mammalian skeletal muscle. Lattice areas calculated for the Z/I and A-band lattices indicate a barrel-shaped sarcomere in the resting state, which may provide a partial explanation for how longitudinal forces produced in the A-band can produce a radial expansive force in the Z-line during contraction. The radial component of cross-bridge stiffness was calculated from the A-band data for contracting muscle, using a lattice stability model incorporating structural, osmotic and electrostatic forces. The calculations gave a radial cross-bridge stiffness during contraction of about 9 x 10(5) N m-2, and outward radial force per thick filament in normal Ringer's solution of 6 x 10(-9) N, corresponding to a radial force per cross-bridge of 10(-11) N.     

Distribution of attachment events relative to actin binding sites as evidenced in a bidirectional actomyosin interaction model

Optical trapping is one of the most evolving technologies that measures biophysical quantities and provides insights into some of the fundamental questions in the study of molecular motor proteins such as myosin. Several laboratories have successfully used this technique to observe and score nanometre-size displacements produced by myosin on interacting with actin. We have studied the distribution of attachment events for two myosin molecules with different orientations interacting with an actin filament within the framework of a Langevin-type bidirectional mathematical model. When myosin is detached from actin, our model predicts Brownian displacements centred at 0 +/- 8 nm (mean +/- SD, n = 251,058). When attached, the time-averaged displacements of the actin filament system produced step sizes with peaks of 8 +/- 6 nm (mean +/- SD, n = 22,174) (forward displacements) and -8 +/- 6 nm (mean +/- SD, n = 26,769) (reverse displacements). We infer from our results that the population distribution of attachment events is strongly dependent on (i) the magnitude of the Brownian displacements, (ii) the location of the actin binding sites relative to the myosin molecules, (iii) the orientation of the myosin molecules, and (iv) the relative kinetics (rate constants) for the forward and reverse displacement events.     

The performance of CA-125 measurement in the detection of endometriosis: a meta-analysis

The effects resulting from the removal of the N-terminus of heavy meromyosin (HMM) A1 light chain by papain digestion are investigated. The fluorometry of TRITC-phalloidin labelled actin in ghost fibers is used as a tool for sensing conformational changes of rigor complex of phosphorylated and dephosphorylated HMM with actin filament. The experiments were performed both under conditions assuring saturation of RLC with magnesium cation (4 mM EGTA) or calcium cation (0.1 mM CaCl2), and in constant presence of 1 mM magnesium chloride. HMM native and with A1 shortened from the N-terminus is used. As it was observed previously rigor complex of actin filament and native HMM shows sensitivity to the kind of cation saturating RLC and to the phosphorylation status of RLC. In particular, the sin2 theta parameter of actin bound rhodamine-phalloidin fluorescence polarization representing roughly the flexibility of actin filament HMM complex changes significantly with the changes of RLC phosphorylation and cation saturation. Removal of the N-terminus of A1 reduces this sensitivity to cation and phosphorylation both in the case of dephosphorylated and phosphorylated HMM. Our results suggest that the N-terminus of A1 plays significant role in the rigor interaction of myosin heads with actin and is involved in modulatory function of RLC in this interaction.     

Study of molecular mechanisms of muscle contraction using polarization fluorometry

The review summarizes results of studies on the conformational changes in contractile proteins during muscle contraction. The studies were carried out by polarized fluorescence technique in the UV and visible light. The revealed were alterations of actin and myosin in muscle fiber, taking place at various stages of contractile cycle. Transition from a weak binding state of actomyosin to a strong one was accompanied by F-actin subunit rearrangements, with C- and N-terminals moving relative to the core of thin filament. Myosin light chains and 20-kDa domain of myosin head moved in the same direction as C- and N-terminal regions of actin. The flexibility of actin filaments increased, whereas that of C- and N-terminal regions decreased sharply. Actin-myosin interaction changed dramatically tropomyosin flexibility and caused displacement of the protein relative to C- and N-terminals of actin. Actin structure "freezing" by glutaraldehyde or phalloidin, actin cleavage by subtilisin, as well as actin alteration in denervational atrophy inhibited markedly the intramolecular movement and isometric tension of muscle contraction. Besides, troponin-, caldesmon-, calponin-, and myosin-systems, regulating muscle contraction, modified actomyosin rearrangements in a Ca(2+)-dependent manner. The role of the movement of polypeptide chains in contractile proteins during muscle contraction is discussed.     

In vivo measurement of human wrist extensor muscle sarcomere length changes

1. Human extensor carpi radialis brevis (ECRB) sarcomere length was measured intraoperatively in five subjects using laser diffraction. 2. In a separate cadaveric study, ECRB tendons were loaded to the muscle's predicted maximum tetanic tension, and tendon strain was measured to estimate active sarcomere shortening at the expense of tendon lengthening. 3. As the wrist joint was passively flexed from full extension to full flexion, ECRB sarcomere length increased from 2.6 to 3.4 microns at a rate of 7.6 nm/deg joint angle rotation. Correcting for tendon elongation during muscle activation yielded an active sarcomere length range of 2.44 to 3.33 microns. Maximal predicted sarcomere shortening accompanying muscle activation was dependent on initial sarcomere length and was always < 0.15 microns, suggesting a minimal effect of tendon compliance. 4. Thin filament lengths measured from electron micrographs of muscle biopsies obtained from the same region of the ECRB muscles were 1.30 +/- .027 (SE) microns whereas thick filaments were 1.66 +/- .027 microns long, suggesting an optimal sarcomere length of 2.80 microns and a maximum sarcomere length for active force generation of 4.26 microns. 5. These experiments demonstrate that human skeletal muscles can function on the descending limb of their sarcomere length-tension relationship under physiological conditions. Thus, muscle force changes during joint rotation are an important component of the motor control system.