Mechanical and structural properties underlying contraction of skeletal muscle fibers after partial 1-ethyl-3-[3-dimethylamino)propyl]carbodiimide cross-linking.

We show prolonged contraction of permeabilized muscle fibers of the frog during which structural order, as judged from low-angle x-ray diffraction, was preserved by means of partial cross-linking of the fibers using the zero-length cross-linker 1-ethyl-3-[3-dimethylamino)propyl]carbodiimide. Ten to twenty percent of the myosin cross-bridges were cross-linked, allowing the remaining 80-90% to cycle and generate force. These fibers displayed a well-preserved sarcomeric order and mechanical characteristics similar to those of intact muscle fibers. The intensity of the brightest meridional reflection at 14.5 nm, resulting from the projection of cross-bridges evenly spaced along the myofilament length, decreased by 60% as a relaxed fiber was deprived of ATP and entered the rigor state. Upon activation of a rigorized fiber by the addition of ATP, the intensity of this reflection returned to 97% of the relaxed value, suggesting that the overall orientation of cross-bridges in the active muscle was more perpendicular to the filament axis than in rigor. Following a small-amplitude length step applied to the active fibers, the reflection intensity decreased for both releases and stretches. In rigor, however, a small stretch increased the amplitude of the reflection by 35%. These findings show the close link between cross-bridge orientation and tension changes.     

The Temperature Dependence of the Mechanical Characteristics of Demembranized Rabbit Slow Muscle Fibers

Biophysics - The temperature dependences of the tension and stiffness of actively contracting single fibers of the rabbit slow muscle (m. soleus) were studied using the Joule temperature jump....     

Investigations of Molecular Mechanisms of Actin–Myosin Interactions in Cardiac Muscle

The functional characteristics of cardiac muscle depend on the composition of protein isoforms in the cardiomyocyte contractile machinery. In the ventricular myocardium of mammals, several isoforms of contractile and regulatory proteins are expressed–two isoforms of myosin (V1 and V3) and three isoforms of tropomyosin chains (α, β, and κ). Expression of protein isoforms depends on the animal species, its age and hormonal status, and this can change with pathologies of the myocardium. Mutations in these proteins can lead to cardiomyopathies. The functional significance of the protein isoform composition has been studied mainly on intact hearts or on isolated preparations of myocardium, which could not provide a clear comprehension of the role of each particular isoform. Present-day experimental techniques such as an optical trap and in vitro motility assay make it possible to investigate the phenomena of interactions of contractile and regulatory proteins on the molecular level, thus avoiding effects associated with properties of a whole muscle or muscle tissue. These methods enable free combining of the isoforms to test the molecular mechanisms of their participation in the actin–myosin interaction. Using the optical trap and the in vitro motility assay, we have studied functional characteristics of the cardiac myosin isoforms, molecular mechanisms of the calcium-dependent regulation of actin–myosin interaction, and the role of myosin and tropomyosin isoforms in the cooperativity mechanisms in myocardium. The knowledge of molecular mechanisms underlying myocardial contractility and its regulation is necessary for comprehension of cardiac muscle functioning, its disorders in pathologies, and for development of approaches for their correction.     

Stabilizing the Central Part of Tropomyosin Increases the Bending Stiffness of the Thin Filament

A two-beam optical trap was used to measure the bending stiffness of F-actin and reconstructed thin filaments. A dumbbell was formed by a filament segment attached to two beads that were held in the two optical traps. One trap was static and held a bead used as a force transducer, whereas an acoustooptical deflector moved the beam holding the second bead, causing stretch of the dumbbell. The distance between the beads was measured using image analysis of micrographs. An exact solution to the problem of bending of an elastic filament attached to two beads and subjected to a stretch was used for data analysis. Substitution of noncanonical residues in the central part of tropomyosin with canonical ones, G126R and D137L, and especially their combination, caused an increase in the bending stiffness of the thin filaments. The data confirm that the effect of these mutations on the regulation of actin-myosin interactions may be caused by an increase in tropomyosin stiffness.     

Strong binding of myosin heads stretches and twists the actin helix

Calculation of the size of the power stroke of the myosin motor in contracting muscle requires knowledge of the compliance of the myofilaments. Current estimates of actin compliance vary significantly introducing uncertainty in the mechanical parameters of the motor. Using x-ray diffraction on small bundles of permeabilized fibers from rabbit muscle we show that strong binding of myosin heads changes directly the actin helix. The spacing of the 2.73-nm meridional x-ray reflection increased by 0.22% when relaxed fibers were put into low-tension rigor (<10 kN/m(2)) demonstrating that strongly bound myosin heads elongate the actin filaments even in the absence of external tension. The pitch of the 5.9-nm actin layer line increased by approximately 0.62% and that of the 5.1-nm layer line decreased by approximately 0.26%, suggesting that the elongation is accompanied by a decrease in its helical angle (approximately 166 degrees) by approximately 0.8 degrees. This effect explains the difference between actin compliance revealed from mechanical experiments with single fibers and from x-ray diffraction on whole muscles. Our measurement of actin compliance obtained by applying tension to fibers in rigor is consistent with the results of mechanical measurements.     

Application of in vitro motility assay to studying the calcium-mechanical relationship in skeletal and cardiac muscles

In a set of experiments on regulated contractile systems (i.e., in vitro motility assay with a reconstructed thin filament), the velocity of a thin filament on the surface coated with rabbit skeletal or rat cardiac myosin was estimated at various calcium ion concentrations in solution (pCa 4–8). The velocity versus pCa curve proved to be sigmoid. The velocity of a regulated thin filament at a saturating calcium concentration (pCa 4) exceeded that of a nonregulated thin filament by 65 and 87% for skeletal and cardiac myosin, respectively. The Hill coefficient was 1.95 and 2.5 for skeletal and cardiac muscles, respectively; this difference was discussed in terms of the different contributions of cooperativity mechanisms of contractile and regulatory proteins to the regulation of contraction in these types of muscle.     

Direct modeling of X-ray diffraction pattern from contracting skeletal muscle

A direct modeling approach was used to quantitatively interpret the two-dimensional x-ray diffraction patterns obtained from contracting mammalian skeletal muscle. The dependence of the calculated layer line intensities on the number of myosin heads bound to the thin filaments, on the conformation of these heads and on their mode of attachment to actin, was studied systematically. Results of modeling are compared to experimental data collected from permeabilized fibers from rabbit skeletal muscle contracting at 5°C and 30°C and developing low and high isometric tension, respectively. The results of the modeling show that: i), the intensity of the first actin layer line is independent of the tilt of the light chain domains of myosin heads and can be used as a measure of the fraction of myosin heads stereospecifically attached to actin; ii), during isometric contraction at near physiological temperature, the fraction of these heads is ∼40% and the light chain domains of the majority of them are more perpendicular to the filament axis than in rigor; and iii), at low temperature, when isometric tension is low, a majority of the attached myosin heads are bound to actin nonstereospecifically whereas at high temperature and tension they are bound stereospecifically.     

The Effect of Experimental Hyperthyroidism on Characteristics of Actin–Myosin Interaction in Fast and Slow Skeletal Muscles

The molecular mechanism of the failure of contractile function of skeletal muscles caused by oxidative damage to myosin in hyperthyroidism is not fully understood. Using an in vitro motility assay, we studied the effect of myosin damage caused by oxidative stress in experimental hyperthyroidism on the actin–myosin interaction and its regulation by calcium. We found that hyperthyroidism-induced oxidation of myosin is accompanied by a decrease in the sliding velocity of the regulated thin filaments in the in vitro motility assay, and this effect is increased with the duration of the pathological process.     

A mathematical model of mechanical responses of contracting muscle fibers to temperature jumps

A structural and kinetic model of actomyosin interaction in a contracting muscle fiber has been proposed, based on the assumption that the myosin molecular motor generates force in two steps. Initially, a nonstereospecifically attached myosin head rolls on the actin surface and stereospecifically locks on actin. Then its α-helical lever arm (neck domain) tilts about its catalytic domain. The model also includes the modern scheme of ATP hydrolysis by actomyosin. The results of modeling presented here quantitatively reproduce all experimentally observed characteristics of the responses of tension and stiffness of muscle fibers to T-jumps of different amplitudes.     

The Effect of Stabilizing Mutations in the Central Part of α-Chain of Tropomyosin on the Bending Stiffness of Reconstructed Thin Filaments that Contain Its αβ-Heterodimers

We studied the effect of the replacement of two highly conserved noncanonical residues in the α-chain of tropomyosin, that is, Asp137 and Gly126, with the canonical residues, Leu and Arg, on the mechanical properties of reconstructed thin filaments that contain αβ-heterodimers of tropomyosin. For this purpose, the reconstructed thin filaments that contain fibrillar actin, tropomyosin, and troponin were stretched with an optical trap. The resulting strain–force diagrams were analyzed using a mathematical model proposed previously in order to estimate the bending stiffness. It was shown that the thin filaments that contain αβ-heterodimers of tropomyosin with α-chains of the pseudo-wild type, i.e., that contain the C190A substitution, have approximately the same bending stiffness as the filament with αα-homodimers of tropomyosin. The stabilizing substitution D137L in the α-chain of tropomyosin did not cause a statistically significant change in the bending stiffness of the filaments that contain αβ-heterodimers of tropomyosin, whereas the G126R and G126R/D137L substitutions led to a moderate increase in this stiffness. This increase in stiffness was, however, much less pronounced than that for the filaments that contain αα-homodimers of tropomyosin with these substitutions in both α-chains. The relationship between the results obtained in this study and the previously published data on the effects of these stabilizing substitutions in the α-chain of tropomyosin on the structural and functional properties of thin filaments with αβ-heterodimers of tropomyosin is discussed.