Cross-bridge Force Research Articles

Myofilament Lattice Spacing Affects Tension in Striated Muscle

Myofilament lattice spacing influences the mechanism of force generation in intact muscle fibers. There is an optimum spacing above and below which the force generated by an individual cross bridge is reduced. The cross-bridge force has a radial component that compresses the lattice during activation.

State‐dependent radial elasticity of attached cross‐bridges in single skinned fibres of rabbit psoas muscle.

1. In a single skinned fibre of rabbit psoas muscle, upon attachment of cross bridges to actin in the presence of ADP or pyrophosphate (PPi), the separation between the contractile filaments, as determined by equatorial X-ray diffraction, is found to decrease, suggesting that force is generated in the radial direction. 2. The single muscle fibres were subjected to compression by 0-8% of dextran T500. The changes in lattice spacings by dextran compression were compared with changes induced by cross-bridge attachment to actin. Based on this comparison, the magnitude and the direction of the radial force generated by the attached cross-bridges were estimated. The radial cross-bridge force varied with filament separation, and the magnitude of the radial cross-bridge force reached as high as the maximal axial force produced during isometric contraction. 3. One key parameter of the radial elasticity, i.e. the equilibrium spacing where the radial force is zero, was found to depend on the ligand bound to the myosin head. In the presence of ADP, the equilibrium spacing was 36 nm. In the presence of MgPPi the equilibrium spacing shifted to 35 nm and Ca2+ had little effect on the equilibrium spacing. 4. The equilibrium spacing was independent of the fraction of cross-bridges attached to actin. The fraction of cross-bridges attached in rigor was modulated from 100% to close to 0% by adding up to 10 mM of ATP gamma S in the rigor solution. The lattice spacing remained at 38 nm, the equilibrium spacing for nucleotide-free cross-bridges at mu = 170 mM. 5. Radial force generated by cross-bridges in rigor at large lattice spacings (38 nm < or = d10 < or = 46 nm) appeared to vary linearly with lattice spacing. 6. The titration of ATP gamma S to fibres in rigor provided a correlation between the radial stiffness of the nucleotide-free cross-bridges and the equatorial intensities. The relation between the equatorial intensity ratio I11/I10 and radial stiffness appeared to be approximately linear. 7. The fibres under different conditions showed a wide range of radial stiffness, which was not proportional to the apparent axial stiffness of the fibre. If the apparent axial stiffness is a measure of the fraction of cross-bridges bound to actin, it follows that the radial elastic constant is state dependent; or vice versa.(ABSTRACT TRUNCATED AT 400 WORDS)

State‐dependent radial elasticity of attached cross‐bridges in single skinned fibres of rabbit psoas muscle

1. In a single skinned fibre of rabbit psoas muscle, upon attachment of cross-bridges to actin in the presence of ADP or pyrophosphate (PP(i)), the separation between the contractile filaments, as determined by equatorial X-ray diffraction, is found to decrease, suggesting that force is generated in the radial direction.2. The single muscle fibres were subjected to compression by 0-8% of dextran T(500). The changes in lattice spacings by dextran compression were compared with changes induced by cross-bridge attachment to actin. Based on this comparison, the magnitude and the direction of the radial force generated by the attached cross-bridges were estimated. The radial cross-bridge force varied with filament separation, and the magnitude of the radial cross-bridge force reached as high as the maximal axial force produced during isometric contraction.3. One key parameter of the radial elasticity, i.e. the equilibrium spacing where the radial force is zero, was found to depend on the ligand bound to the myosin head. In the presence of ADP, the equilibrium spacing was 36 nm. In the presence of MgPP(i) the equilibrium spacing shifted to 35 nm and Ca(2+) had little effect on the equilibrium spacing.4. The equilibrium spacing was independent of the fraction of cross-bridges attached to actin. The fraction of cross-bridges attached in rigor was modulated from 100% to close to 0% by adding up to 10 mM of ATPgammaS in the rigor solution. The lattice spacing remained at 38 nm, the equilibrium spacing for nucleotide-free cross-bridges at mu = 170 mM.5. Radial force generated by cross-bridges in rigor at large lattice spacings (38 nm </= d(10) </= 46 nm) appeared to vary linearly with lattice spacing.6. The titration of ATPgammaS to fibres in rigor provided a correlation between the radial stiffness of the nucleotide-free cross-bridges and the equatorial intensities. The relation between the equatorial intensity ratio I(11)/I(10) and radial stiffness appeared to be approximately linear.7. The fibres under different conditions showed a wide range of radial stiffness, which was not proportional to the apparent axial stiffness of the fibre. If the apparent axial stiffness is a measure of the fraction of cross-bridges bound to actin, it follows that the radial elastic constant is state dependent; or vice versa.8. Differences in equilibrium lattice spacing and in radial elastic constant, most probably reflect differences in the molecular structure of the acto-myosin complex and there is more than one single conformation of the various strongly bound cross-bridge states.9. Determining equilibrium spacings of the radial elasticity appears to be an effective new approach in detecting structural differences among the attached cross-bridges, since this approach is independent of the fraction of cross-bridges attached, a factor that frequently encumbers the interpretation of structural studies of attached cross-bridge states.

Muscle fatigue in the frog semitendinosus: role of the high-energy phosphates and Pi.

The purpose of this study was to determine the concentration of ATP, phosphocreatine (PC), Pi, lactate, and glycogen in single frog skeletal muscle fibers and assess their role in the etiology of muscle fatigue. The frog semitendinosus (ST) muscle was fatigued, quick frozen at selected time points of recovery, and freeze-dried, and single fibers were dissected, weighed, and assayed for ATP, PC, lactate, Pi, and glycogen. The fatigue protocol reduced peak tetanic force (Po) to 8.5% of initial, while ATP and PC decreased from 45.18 to 33.16 and 128.90 to 28.76 mmol/kg dry wt, respectively. Lactate and Pi increased from 29.36 to 100.84 and 33.04 to 142.50 mmol/kg dry wt, respectively. It is doubtful that the small decline in ATP limited cross-bridge force production. Although a significant correlation between the recovery of PC and Po was demonstrated (r = 0.994), the time period showing the fastest rate of force recovery coincided with little change in PC. A significant correlation was demonstrated between the recovery of both total and the H2PO4- form of Pi and Po. In conclusion, the results of this study are incompatible with the hypothesis that the high-energy phosphates (ATP and PC) mediate muscle fatigue. The large increase in Pi with stimulation and the high correlation between the recovery of both total and the H2PO4- form of Pi and Po support a role for Pi in the production of skeletal muscle fatigue.

Cellular basis of negative inotropic effect of 2,3-butanedione monoxime in human myocardium

2,3-Butanedione monoxime (BDM) exerts a marked negative inotropic effect and has been shown to have protective actions on human myocardial force production that may be of clinical use. To determine the underlying mechanisms, we studied the effects of BDM on chemically skinned and aequorin-loaded myopathic human myocardium from transplant recipients. Eighteen muscles were chemically skinned with saponin (250 micrograms/ml) and then subjected to activation-relaxation cycles, with and without 5 mM BDM. Contracture force vs. Ca2+ data were fitted to a modified Hill equation, and values for 50% maximal activation (pCa50) and maximal Ca(2+)-activated force (Fmax) were obtained. pCa50 was decreased by 0.2 pCa units, indicating myofilament Ca2+ desensitization, and Fmax was reduced by 48% in 5 mM BDM. A second group of intact muscles (n = 8) was loaded with aequorin to monitor intracellular calcium (Cai2+) transients (peak light) and twitch force in the presence of BDM (1-30 mM). Over a range of 1-20 mM, BDM depressed peak light by 3-49% while force was depressed by 10-82%. This was accompanied by an abbreviation of the duration of the twitch but not of the Cai2+ transient. At a concentration of 30 mM, BDM completely inhibited force generation, but an Cai2+ transient was still present. We conclude that in human myocardium, 5 mM BDM predominantly affects cross-bridge force production and Ca2+ sensitivity and has a less pronounced effect on Cai2+.

Selectivity of 5 mM 2,3-butanedione monoxime (BDM) on cross-bridge force inhibition in twitches of human myopathic myocardium

Selectivity of 5 mM 2,3-butanedione monoxime (BDM) on cross-bridge force inhibition in twitches of human myopathic myocardium

An analysis of inotropic intervention in terms of the crossbridge force time integral, calcium cycling and calcium sensitivity

An analysis of inotropic intervention in terms of the crossbridge force time integral, calcium cycling and calcium sensitivity

Increase in myofilament separation in the “stunned” myocardium

This study explores the effects of ischemic reperfusion injury on the radial separation distance between thick and thin myofilaments. The left anterior descending coronary artery was occluded for 5 mins and reperfused for 10 mins twelve times repetitively in 6 dogs. At the end of a final 90 min reperfusion period, the hearts were fixed by perfusion with glutaraldehyde, and subepicardial and subendocardial tissue from both normal and ischemic areas were prepared for transmission electron microscopy. Quantitative analysis of inter-filament distance (IFD) was performed on micrographs of transverse sections. The center-to-center IFD was calculated from the numerical density of thick filaments at the A band level using a hexagonal array conversion formula. Sarcomere length was measured on micrographs of longitudinal sections. The results showed that center-to-center thick IFD in the stunned subendocardium was 43.9 ± 0.8 nm which was significantly greater than the control distance of 40.6 ± 0.4 nm ( P<0.001) from normal zone tissue. Thick IFD in the subepicardium was also significantly different: 43.4 ± 0.6 nm in the stunned tissue as compared with 39.0 ± 0.7 nm in the non-ischemic tissue ( P<0.001). Sarcomere length in the normally perfused subendocardium was 2.01 ± 0.07 μm and was increased to 2.20 ± 0.08 μm in the stunned subendocardium ( P<0.005). Sarcomere length in the normal and the stunned subepicardium was also different: 2.02 ± 0.04 vs. 2.10 ± 0.09 μm ( P<0.005). The significant increase in spatial separation between the contractile filaments may affect optimal cross-bridge force generation at the molecular level. Myocardial performance in stunned myocardium is likely to be affected by these geometric alterations. The longer “unstressed” sarcomere lengths in stunned myocardium are suggestive of cytoskeletal abnormalities in the post-ischemic myocardium.

Detection of Radial Crossbridge Force by Lattice Spacing Changes in Intact Single Muscle Fibers

Time-resolved lattice spacing changes were measured (10-millisecond time resolution) by x-ray diffraction of synchrotron radiation in single intact muscle fibers of the frog Rana temporaria undergoing electrically stimulated tension development during application of stretches and releases. Ramp releases, which decreased fiber length at constant speed, caused a lattice expansion. After the ramp, increasing tension during recovery was accompanied by lattice compression. Ramp stretches caused a compression of the lattice. While the fiber was held at a constant length after the stretch, tension decreased and lattice spacing increased. These observations demonstrate the existence of a previously undetected radial component of the force generated by a cycling crossbridge. At sarcomere lengths of 2.05 to 2.2 micrometers, the radial force compresses the myofilament lattice. Hence, the myofilament lattice does not maintain a constant volume during changes in force.

How actin filament polarity affects crossbridge force in doubly-overlapped insect muscle.

We wished to find out why the internal resistance to shortening, which is negligible above rest length, becomes progressively more important with shortening below rest length. For this reason the movement of detached actin filaments in isometric sarcomeres treated with activating solution has been studied in insect flight muscle after breaking the filaments from the Z lines by stretching fibres in rigor. Evidence of sliding motion of such filaments has been produced by experimentally inducing double overlap zones in activating solution. It was deduced that the forces generated by individual crossbridges are comparable to the internal resistance to relative filament motion. Furthermore the final position of broken actin filaments indicated that wrongly polarized actin slides freely past activated crossbridges, but prevents these same bridges from exerting force on adjacent correctly polarized actin. Apparently only those bridges which are located in the normal overlap zones can generate effective force. It is therefore probable that the isometric tension is directly proportional to the number of bridges overlapped in the normal overlap zones for any sarcomere length equal to or greater than the thick filament length.

Radial forces within muscle fibers in rigor.

Considering the widely accepted cross-bridge model of muscle contraction (Huxley. 1969. Science [Wash. D. C.]. 164:1356-1366), one would expect that attachment of angled cross-bridges would give rise to radial as well as longitudinal forces in the muscle fiber. These forces would tend, in most instances, to draw the myofilaments together and to cause the fiber to decrease in width. Using optical techniques, we have observed significant changes in the width of mechanically skinned frog muscle fibers when the fibers are put into rigor by deleting ATP from the bathing medium. Using a high molecular weight polymer polyvinylpyrrolidone (PVP-40; number average mol. wt. (Mn) = 40,000) in the bathing solution, we were able to estimate the magnitude of the radial forces by shrinking the relaxed fiber to the width observed with rigor induction. With rigor, fiber widths decreased up to approximately 10%, with shrinking being greater at shorter sarcomere spacing and at lower PVP concentrations. At higher PVP concentrations, some fibers actually swelled slightly. Radial pressures seen with rigor in 2 and 4% PVP ranged up to 8.9 x 10(3) N/m2. Upon rigor induction, fibers exerted a longitudinal force of approximately 1 x 10(5) N/m2 that was inhibited by high PVP concentrations (greater than or equal to 13%). In very high PVP concentrations (greater than or equal to 20%), fibers exerted an anomalous force, independent of ATP, which ranged up to 6 x 10(4) N/m2 at 60% PVP. Assuming that all the radial force is the result of cross-bridge attachment, we calculated that rigor cross-bridges exert a radial force of 0.2 x 1.2 x 10(-9) N per thick filament in sarcomeres near rest length. This force is of roughly the same order of magnitude as the longitudinal force per thick filament in rigor contraction or in maximal (calcium-activated) contraction of skinned fibers in ATP-containing solutions. Inasmuch as widths of fibers stretched well beyond overlap of thick and thin filaments decreased with rigor, other radially directed forces may be operating in parallel with cross-bridge forces.

Geometrical factors influencing muscle force development. II. Radial forces

If the subfragment-2 (S2) portion of the myosin cross-bridge to actin does not lie parallel to the myofilament axes then when a muscle fiber contracts, there will be a radial component to the cross-bridge force. When the subfragment-1 (S1) portion of the cross-bridge attaches to actin with its long axis projecting through the filament axis, the magnitude of the radial force depends upon the azimuthal location of the actin site, but when the attachment of the S1 to actin is slewed, as in the reconstruction of Moore et al. (J. Mol. Biol., 1970, 50:279-294), then for a single cross-bridge the radial component of the cross-bridge force is not quite so sensitive to actin site location and is approximately 0.1 the axial component. In both cases, the ratio of the radial to axial force decreases with decreasing filament separation. If the radial-axial force ratio for each cross-bridge is approximately 0.1, then at full overlap in a frog skeletal muscle fiber the radial component of the cross-bridge force accompanying full activation will exert a compressive pressure of approximately 5 X 10(-3) atm. This would have little effect upon an intact muscle fiber where the volume constraints are likely osmotic, but it might produce a 1-2% change in filament spacing in a "skinned" muscle fiber from which the sarcolemma had been removed. These computations assume that the S2 link between the S1 head and the myosin filament does not support a bending moment of shear. If it does, then the radial component of the cross-bridge will be either greater or less, depending on the specific cross-bridge geometry.

Geometrical factors influencing muscle force development. I. The effect of filament spacing upon axial forces

The influence of geometry on the force and stiffness measured during muscle contraction at different sarcomere lengths is examined by using three specific models of muscle cross-bridge geometry which are based upon the double-hinge model of H. E. Huxley (Science [Wash. D.C.]. 1969, 164:1356-1366) extended to three dimensions. The force generated during muscle contraction depends upon the orientation of the individual cross-bridge force vectors and the distribution of the cross-bridges between various states. For the simplest models, in which filament separation has no effect upon cross-bridge distribution, it is shown that changes in force vectors accompanying changes in myofilament separation between sarcomere lengths 2.0 and 3.65 microgram in an intact frog skeletal muscle fiber have only a small effect upon axial force. The simplest models, therefore, produce a total axial force proportional to the overlap between the actin and myosin filaments and independent of filament separation. However, the analysis shows that it is possible to find assumptions that produce a cross-bridge model in which the axial force is not independent of filament spacing. It is also shown that for some modes of attachment of subfragment-1 (S1) to actin the azimuthal location of the actin site is important in determining the axial force. A mode of S1 attachment to actin similar to that deduced by Moore et al. (J. Mol. Biol., 1970, 50:279-294), however, exhibits rather constant cross-bridge behavior over a wide range of actin site location.

A Model for Muscle Contraction in Which Cross-Bridge Attachment and Force Generation Are Distinct

A Model for Muscle Contraction in Which Cross-Bridge Attachment and Force Generation Are Distinct

Tissue temperatures and whole-animal oxygen consumption after exercise.

Tissue temperatures and whole-animal oxygen consumption after exercise.

Distributed Representations for Actin-Myosin Interaction in the Oscillatory Contraction of Muscle

In this paper we suggest and test a specific hypothesis relating the attachment-detachment cycle of cross bridges between actin (I) and myosin (A) filaments to the measured length-tension dynamics of active insect fibrillar flight muscle. It is first shown that if local A-filament strain perturbs the rate constants in the cross-bridge cycle appropriately, then exponentially delayed tension changes can follow imposed changes of length; the latter phenomenon is sufficient for the work-producing property of fibrillar muscle, as measured with small-signal forcing of length and at low Ca(2+) concentration, and possibly for related effects described recently in frog striated muscle. It is not clear a priori that the above explanation of work production by fibrillar muscle will remain tenable when the viscoelastic complexity of the heterogeneous sarcomere is taken into account. However, White's (1967) recent mechanical and electron microscope study of the passive dynamics of glycerinated fibrillar muscle has produced a model of the distributed viscoeleastic structure sufficiently explicit that alternative schemes for cross-bridge force generation in this muscle can now be tested more critically than previously. Therefore, we derive and solve third-order partial-differential equations which relate local interfilament shear forces associated with the perturbed cross-bridge cycles to the over-all length-tension dynamics of an idealized sarcomere. We then show (a) that the starting hypothesis can account approximately for the small-signal dynamics of glycerinated muscle in the work-producing state over two decades of frequency and (b) that the rate constants for cross-bridge formation and breakage, restricted solely by fitting of the model to the mechanical data, determine a cycling rate of cross bridges in the model compatible with recent measurements of ATP hydrolysis rate vs. stretch in this muscle. Finally, the formulation is extended tentatively to the large-signal nonlinear case, and shown to compare favorably with previous suggestions for the origin of the work-producing dynamics of fibrillar flight muscle.