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Muscle contraction is due to cyclical ATP-driven working strokes in the myosin motors while attached to the actin filament. Each working stroke is accompanied by the release of the hydrolysis products, orthophosphate and ADP. The rate of myosin-actin interactions increases with the increase in shortening velocity. We used fast half-sarcomere mechanics on skinned muscle fibres to determine the relation between shortening velocity and the number and strain of myosin motors and the effect of orthophosphate concentration. A model simulation of the myosin-actin reaction explains the results assuming that orthophosphate and then ADP are released with rates that increase as the motor progresses through the working stroke. The ADP release rate further increases by one order of magnitude with the rise of negative strain in the final motor conformation. These results provide the molecular explanation of the relation between the rate of energy liberation and shortening velocity during muscle contraction. The chemo-mechanical cycle of the myosin II--actin reaction in situ has been investigated in Ca(2+)-activated skinned fibres from rabbit psoas, by determining the number and strain (s) of myosin motors interacting during steady shortening at different velocities (V) and the effect of raising inorganic phosphate (Pi) concentration. It was found that in control conditions (no added Pi ), shortening at V ≤ 350 nm s(-1) per half-sarcomere, corresponding to force (T) greater than half the isometric force (T0 ), decreases the number of myosin motors in proportion to the reduction of T, so that s remains practically constant and similar to the T0 value independent of V. At higher V the number of motors decreases less than in proportion to T, so that s progressively decreases. Raising Pi concentration by 10 mM, which reduces T0 and the number of motors by 40-50%, does not influence the dependence on V of number and strain. A model simulation of the myosin-actin reaction in which the structural transitions responsible for the myosin working stroke and the release of the hydrolysis products are orthogonal explains the results assuming that Pi and then ADP are released with rates that increase as the motor progresses through the working stroke. The rate of ADP release from the conformation at the end of the working stroke is also strain-sensitive, further increasing by one order of magnitude within a few nanometres of negative strain. These results provide the molecular explanation of the relation between the rate of energy liberation and the load during muscle contraction.

Nonmuscle myosin 2 (NM-2) powers cell motility and tissue morphogenesis by assembling into bipolar filaments that interact with actin. Although the enzymatic properties of purified NM-2 motor fragments have been determined, the emergent properties of filament ensembles are unknown. Using single myosin filament in vitro motility assays, we report fundamental differences in filaments formed of different NM-2 motors. Filaments consisting of NM2-B moved processively along actin, while under identical conditions, NM2-A filaments did not. By more closely mimicking the physiological milieu, either by increasing solution viscosity or by copolymerization with NM2-B, NM2-A containing filaments moved processively. Our data demonstrate that both the kinetic and mechanical properties of these two myosins, in addition to the stochiometry of NM-2 subunits, can tune filament mechanical output. We propose altering NM-2 filament composition is a general cellular strategy for tailoring force production of filaments to specific functions such as maintaining tension or remodeling actin.

Force generation in the muscle sarcomere is driven by the head domain of the myosin molecule extending from the thick filament to form cross-bridges with the actin-containing thin filament. Following attachment, a structural working stroke in the head pulls the thin filament towards the centre of the sarcomere, producing, under unloaded conditions, a filament sliding of ∼ 11 nm. The mechanism of force generation by the myosin head depends on the relationship between cross-bridge force and movement, which is determined by compliances of the cross-bridge (C(cb)) and filaments. By measuring the force dependence of the spacing of the high-order myosin- and actin-based X-ray reflections from sartorius muscles of Rana esculenta we find a combined filament compliance (Cf) of 13.1 ± 1.2 nm MPa(-1), close to recent estimates from single fibre mechanics (12.8 ± 0.5 nm MPa(-1)). C(cb) calculated using these estimates is 0.37 ± 0.12 nm pN(-1), a value fully accounted for by the compliance of the myosin head domain, 0.38 ± 0.06 nm pN(-1), obtained from the intensity changes of the 14.5 nm myosin-based X-ray reflection in response to 3 kHz oscillations imposed on single muscle fibres in rigor. Thus, a significant contribution to C(cb) from the myosin tail that joins the head to the thick filament is excluded. The low C(cb) value indicates that the myosin head generates isometric force by a small sub-step of the 11 nm stroke that drives filament sliding at low load. The implications of these results for the mechanism of force generation by myosins have general relevance for cardiac and non-muscle myosins as well as for skeletal muscle.

Skeletal muscle shortens faster against a lower load. This force-velocity relationship is the fundamental determinant of muscle performance in vivo and is due to ATP-driven working strokes of myosin II motors, during their cyclic interactions with the actin filament in each half-sarcomere. Crystallographic studies suggest that the working stroke is associated with the release of phosphate (Pi) and consists of 70 deg tilting of a light-chain domain that connects the catalytic domain of the myosin motor to the myosin tail and filament. However, the coupling of the working stroke with Pi release is still an unsolved question. Using nanometre-microsecond mechanics on skinned muscle fibres, we impose stepwise drops in force on an otherwise isometric contraction and record the isotonic velocity transient, to measure the mechanical manifestation of the working stroke of myosin motors and the rate of its regeneration in relation to the half-sarcomere load and [Pi]. We show that the rate constant of the working stroke is unaffected by [Pi], while the subsequent transition to steady velocity shortening is accelerated. We propose a new chemo-mechanical model that reproduces the transient and steady state responses by assuming that: (i) the release of Pi from the catalytic site of a myosin motor can occur at any stage of the working stroke, and (ii) a myosin motor, in an intermediate state of the working stroke, can slip to the next actin monomer during filament sliding. This model explains the efficient action of muscle molecular motors working as an ensemble in the half-sarcomere.

Key points • Force and shortening in muscle are due to the ATP-powered motor protein myosin II, polymerized in two bipolar arrays of motors that pull the two overlapping actin filaments toward the centre of the sarcomere. • The parameters of the myosin motor in situ have been best characterized for the skeletal muscle of the frog, from which single intact cells can be isolated allowing fast sarcomere level mechanics to be applied. • Up to now no reliable methods have been developed for the study of frog myosin with single molecule techniques. • In this work a new protocol for extraction and conservation of frog muscle myosin allows us to estimate the sliding velocity of actin on myosin (VF) and its modulation by pH, myosin density, temperature and substrate concentration. • By integrating in vitro and in situ parameters of frog muscle myosin we can relate kinetic and mechanical steps of the acto-myosin ATPase.

The function as a collective motor of skeletal muscle myosin II is studied in vitro with a synthetic bio-machine, consisting of an ensemble of myosin motors interacting with a single actin filament attached with the correct polarity to a bead trapped in the focus of a Dual Laser Optical Tweezers (DLOT, Bianco et al. Biophys. J.101:866-874, 2011). The motor ensemble provides the condition for cyclic interactions with the actin filament, allowing the development of steady force and filament sliding. The mechanical outputs of the machine are measured by means of the DLOT, which acts as a force transducer (range 0.5-200 pN and resolution ∼0.3 pN), and a piezoelectric nano-positioner carrying the support for the myosin motors, which acts as a length transducer (range 1-75.000 nm and resolution ∼1 nm). Here is reported the performance of a first version of the machine, consisting of an ensemble of myosin motors purified from frog skeletal muscle randomly adsorbed on the surface of a chemically etched single-mode optical fibre with diameter 4 µm. Isometric and isotonic contractions are reproduced by the motor ensemble in solution with physiological [ATP] (2 mM) and temperature 21 °C. Following a drop in force from the maximum isometric value (F0) to a lower value (F), the actin filament slides at a constant velocity (V) which is larger the smaller the force, as expected from the in vivo force-velocity relation. Up to five F-V points for each interaction can be determined, allowing the definition of the maximum power at F ∼0.3 F0 (V ∼2 µm/s) and demonstrating the unequalled ability of the synthetic machine to define the power of native and engineered myosin II motors from striated muscle. Supported by IIT-SEED, Genova and ECRF, 2015 (Italy).

We report the progress toward the realization of a synthetic sarcomere-like machine consisting of an array of motor proteins, regularly distributed on an inorganic nano-structured surface, interacting with a single actin filament. The mechanical output of the bio-machine is measured by means of a Dual Laser Optical Tweezers system (DLOT, range 0.5-200 pN force and 1-10,000 nm displacement) under either nano-positioner control or force control (Bianco et al. Biophys. J. 101:866-874, 2011). The correct polarity of the actin filament (5-15 μm long) is controlled by attaching its barbed end to a trapped bead via gelsolin (Suzuki et al.

The coupling between chemical and mechanical steps of actomyosin ATPase cycle was studied in situ by using fast mechanical protocols in Ca2+-activated demembranated fibres from rabbit psoas under sarcomere length control (sarcomere length 2.4 μm, temperature 12°C). We determined the effects of the concentration of inorganic phosphate (Pi) on the force-velocity relation (T-V), on the stiffness-velocity relation (e-V) and on the isotonic velocity transient following a stepwise drop in force from the isometric plateau force (T0) (Piazzesi et al. J Physiol 545:145, 2002). With respect to control (no added Pi), the increase of [Pi] to 10 mM, i) reduced T0 by 50-60%, decreased the curvature of the T-V relation by 30% and increased the unloaded shortening velocity (V0) by 19%; ii) decreased the relative half-sarcomere stiffness at each shortening velocity by an extent that indicates that Pi has little effect on the force per attached myosin motor; iii) did not change the rate of early rapid shortening (phase 2) following the stepwise drop in force, while reduced its size and made the subsequent pause of shortening (phase 3) briefer. Steady state and transient mechanical responses and the known related energetics (Potma and Stienen J Physiol 496:1, 1996) are simulated with a kinetic-mechanical model of the actomyosin ATPase cycle that incorporates Huxley and Simmons mechanism of force generation. Muscle power and efficiency during isotonic shortening at high and intermediate loads can be predicted only if myosin motors at an intermediate stage of both the working stroke and product release can slip to the next Z-ward actin monomer.Supported by MIUR, Ministero della Salute and Ente Cassa di Risparmio di Firenze (Italy).