Proposed modification of the Huxley-Simmons model for myosin head motion along an actin filament

Contractile performance of striated muscle

The single muscle fiber preparation provides an excellent tool for studying the mechanical behaviour of the contractile system at sarcomere level. The present article gives an overview of studies based on intact single fibers from frog and mouse skeletal muscle. The following aspects of muscle function are treated: (1) The length-tension relationship. (2) The biphasic force-velocity relationship. (3) The maximum speed of shortening, its independence of sarcomere length and degree of activation. (4) Force enhancement during stretch, its relation to sarcomere length and myofilament lattice width. (5) Residual force enhancement after stretch. (6) Force reduction after loaded shortening. (7) Deactivation by active shortening. (8) Differences in kinetic properties along individual muscle fibers.

Remarks on muscle contraction mechanism

Muscle contraction mechanism is discussed by reforming the model described in an article by Mitsui (Adv. Biophys. 1999, 36, 107-158). A simple thermodynamic relationship is presented, which indicates that there is an inconsistency in the power stroke model or the swinging lever model. To avoid this difficulty, a new model is proposed. It is assumed that a myosin head forms a polaron-like complex with about three actin molecules when it attaches to an actin filament and the complex translates along the actin filament producing force. Various experimental data on the muscle contraction are well explained based upon the model.

Contractile properties of mouse single muscle fibers, a comparison with amphibian muscle fibers

Single fibers, 25-40 μm wide and 0.5-0.7 mm long, were isolated from the flexor digitorum brevis muscle of the mouse. Force and movement were recorded(21-27°C) from the fiber as a whole and, in certain experiments, from a short marked segment that was held at constant length by feedback control. The maximum tetanic force, 368±57 kN/m2 (N=10), was not significantly different from that recorded in frog muscle fibers at equal temperature. However, the rising phase of the tetanus was considerably slower in the mammalian fibers, 202±20 ms (N=17) being required to reach 90% of maximum tetanic force as compared with 59±4 ms(N=20) in the frog muscle fibers. Similar to the situation in frog muscle fibers, the force-velocity relation exhibited two distinct curvatures located on either side of a breakpoint near 80% of the isometric force. Maximum speed of shortening was 4.0±0.3 fiber lengths s-1(N=6). The relationship between tetanic force and sarcomere length was studied between 1.5 and 4.0 μm sarcomere spacings, based on length-clamp recordings that were free of `tension creep'. There was a flat maximum (plateau) of the length-tension relation between approximately 2.0 and 2.4 μm sarcomere lengths. The descending limb of the length-tension relation (linear regression) intersected the length axis (zero force) at 3.88μm and reached maximum force at 2.40 μm sarcomere length. The slope of the descending limb is compatible with a thick filament length of 1.63 μm and an average thin filament length of 1.10 μm. These values accord well with recent electron microscope measurements of myofilament length in mammalian muscle.

Induced potential model of muscular contraction mechanism and myosin molecular structure

The proposed model is characterized by the constant r (Eq. 2-1), the induced potential (Fig. 1), two attached states of a myosin head (Fig. 1), the nonlinear elastic property of the crossbridge (Eq. 2-7), and the expression of U* (Eqs. 3-8 and 3-9), which led us to the following conclusions. 1. The following various magnitudes of myosin head motion are compatible with each other: about 2 nm of the quantity called power stroke by Irving (27), which is the mean moving distance of myosin head in the isometric tension in our model, 4-5 nm of the displacement of a single myosin head during one ATP hydrolysis cycle (Molloy et al. (20)) or a few tens of nm when the actin and myosin filaments are set parallel (Tanaka et al. (21) and Kitamura et al. (42)), and more than 200 nm of the myosin head displacement in a multi-myosin head system below 22 degrees C (Harada et al. (19)). 2. There is one-to-one coupling between the ATP hydrolysis cycle and the attachment-detachment cycle of a myosin head in accordance with the generally accepted concept of chemical reactions, since the head is trapped in the spatially shifting wide potential well (Fig. 1) until epsilon ATP is exhausted. Here, an actin filament interacts with a myosin head like a single molecule. 3. The calculated tension dependence of muscle stiffness agrees well with the observations by Ford et al. (12), as shown in Fig. 9. 4. The calculated shortening velocity V of muscle as a function of P/P0 agreed very well with experimental results as shown in Fig. 13. The deviation from the Hill equation (34) observed by Edman (32) is related with U* being effectively infinite for f1 < kappa b yc0 (Fig. 10). 5. Calculated energy liberation rate W + H as a function of P/P0 has characteristics almost the same as the Hill equation (33), and agrees well with the experimental results as shown in Fig. 14. 6. The time course of tension recovery after a quick length change is determined by four parameters: kappa f, kappa b, a, and Z0. Among them, kappa f, kappa b (Eq. 2-22) and a (Eq. 4-21) are readily determined by analysis of the steady filament sliding and p0. Calculations of T1/T0 and T2/T0 with these three parameters are in very good agreement with experimental data (Fig. 21). Calculated tension variations by assigning the value in Eq. 4-23 to Z0 agree with the observation (Fig. 17). 7. The model suggests that large fluctuations exist in relative positions between the actin and myosin filaments even when the load on a muscle is kept constant (Fig. 23). Taking this fluctuation into account, the time course of the isotonic velocity transient shown in Fig. 22 becomes understandable referring to Fig. 24. 8. The experimental data of the delta yhs vs. delta P/P0 relationship (Fig. 25) is explained. The delta yhs value at delta P/P0 = 0 (about 5 nm) supports the two-attached-state model and thus indicates that the incremental unit step of a myosin head motion along an actin filament is close to L (5.46 nm).