Tension fluctuations in contracting myofibrils and their interpretation

Measuring Rotations of a Few Cross-Bridges in Skeletal Muscle

The ability to measure properties of a single cross-bridge in working muscle is important because it avoids averaging the signal from a large number of molecules and because it probes cross-bridges in their native crowded environment. Because the concentration of myosin in muscle is large, observing the kinetics of a single myosin molecule requires that the signal be collected from small volumes. The introduction of small observational volumes defined by diffraction-limited laser beams and confocal detection has made it possible to limit the observational volume to a femtoliter (10 15 liter). By restraining labeling to 1 fluorophore per 100 myosin molecules, we were able to follow the kinetics of approximately 400 cross-bridges. To reduce this number further, we used two-photon (2P) microscopy. The focal plane in which the laser power density was high enough to produce 2P absorption was thinner than in confocal microscopy. Using 2P microscopy, we were able to observe approximately 200 cross-bridges during contraction. The novel method of confocal total internal reflection (CTIR) provides a method to reduce the observational volume even further, to approximately 1 attoliter (10 18 liter), and to measure fluorescence with a high signal-to-noise (S/N) ratio. In this method, the observational volume is made shallow by illuminating the sample with an evanescent field produced by total internal reflection (TIR) of the incident laser beam. To guarantee the small lateral dimensions of the observational volume, a confocal aperture is inserted in the conjugate-image plane of the objective. With a 3.5-μm confocal aperture, we achieved a volume of 1.5 attoliter. Association-dissociation of the myosin head was probed with rhodamine attached at cys707 of the heavy chain of myosin. Signal was contributed by one to five fluorescent myosin molecules. Fluorescence decayed in a series of discrete steps, corresponding to bleaching of individual molecules of rhodamine. The S/N ratio was sufficiently large to make statistically significant comparisons from rigor and contracting myofibrils.

Probes bound to myosin Cys-707 rotate during length transients in contraction

It is widely conjectured that muscle shortens because portions of myosin molecules (the "cross-bridges") impel the actin filament to which they transiently attach and that the impulses result from rotation of the cross-bridges. Crystallography indicates that a cross-bridge is articulated-consisting of a globular catalytic/actin-binding domain and a long lever arm that may rotate. Conveniently, a rhodamine probe with detectable attitude can be attached between the globular domain and the lever arm, enabling the observer to tell whether the anchoring region rotates. Well-established signature effects observed in shortening are tension changes resulting from the sudden release or quick stretch of active muscle fibers. In this investigation we found that closely correlated with such tension changes are changes in the attitude of the rhodamine probes. This correlation strongly supports the conjecture about how shortening is achieved.

A theory of tension fluctuations due to muscle cross-bridges

We present an analytical theory for the spectrum of tension fluctuations due to muscle cross-bridges. The theory is based upon the Langevin theory of brownian motion, and is illustrated using a simplified three-state model for the cross-bridge cycle, which is intended to model cross-bridges in fibrillar insect flight muscle. Langevin white-noise sources, representing fluctuations in the net transition rates for each step in the cycle, are introduced into the rate equations, and their strengths are adjusted to give the correct mean-square fluctuations in the occupation probabilities. The Langevin theory shows that the noise is closely related to the elastic properties of cross-bridges, and it also shows in detail how each step in the cross-bridge cycle contributes differently to the noise spectrum. We find that the total noise increases with filament displacement. For small filament displacements, the noise is dominated by the power stroke and by dissociation at the end of the cycle. These contributions increase in the region of stretch activation, whilst at larger displacements, where the cross-bridge becomes locked in the strong-binding state, the noise is much larger and is dominated by attachment and detachment at the beginning of the cycle. The cross-bridge properties in this regime are strongly affected by free inorganic phosphate. Finally, we show how the noise spectrum is modified by the inclusion of a series compliance representing a practical force transducer.

An electrostatic mechanism of muscular contraction

The electrostatic mechanism proposed in the theory of muscular contraction propounded by Iwazumi is the force produced between an electric dipole and induced dipoles on a high dielectric rod. This force is similar to one between a short bar magnet and an iron rod. The force is always attractive and unidirectional and the rod orients itself to the direction pointing to the centre of the magnet. In muscle, the active cross-projection of myosin is analogous to the bar magnet, but an electric field is created by the dipole properties of myosin which are amplified during activation by the action of calcium ions and adenosine triphosphate. The filaments of actin are analogous to the iron rod. Detailed mathematical application of this principle to the array of filaments found in muscle, with incorporation of the troponin/tropomyosin complex, yields a complete theory of muscular contraction which provides explanations for many as yet unexplained phenomena, and provides a set of specific predictions for test.

The rate of MgADP binding to and dissociation from acto-S1

The rate of binding and dissociation of MgADP from its ternary complex with actin and S1 was measured by following the extent to which fixed concentrations of MgADP slow down MgATP-induced dissociation of acto-S1. The solution of the equations describing this process shows that at any MgADP concentration the apparent rate of acto-S1 dissociation should be proportional to a square root of the equilibrium constant for MgADP dissociation and to MgATP concentration. By measuring the apparent rate of acto-S1 dissociation as a function of MgATP concentration, the rate of MgADP binding and dissociation were determined as 5 X 10(6) M-1 X s-1 and 1400 s-1, respectively. These rates were unchanged by modification of SH1 thiol of S1 by a variety of fluorescence and spin-labels, but dissociation rate was drastically reduced when SH1 was labelled with 5-iodoacetamidofluorescein.