Dark-field light microscopic study of the flexibility of F-actin complexes

The flexibility of F-actin complexed with saturating amounts of myosin subfragments has been measured by the use of a dark-field light microscope and a high-sensitivity television camera. When dilute solutions of F-actin complexes were observed in the microscope, single filaments in flexural thermal motion were visible to the eye. Images of the fluctuating filaments were recorded on videotapes using the high-sensitivity camera, and these records were used for the analysis of fluctuation to calculate flexibility in the framework of statistical mechanics of thermal fluctuation in semi-flexible rods. The analysis was carried out by two different methods. In method A, we selected many filaments (the entire length appeared near focus occasionally in the limited period of 10 to 100 seconds), measured the mean square end-to-end distance 〈R²〉 of each filament during the period and also its contour length L, and calculated a parameter λ representing flexibility by the equation given by Landau & Lifshitz (1958): $\text{〈R}{}^2\text{〉 =}\text{[2λL ? 1 +}\text{exp}\text{(?2λL)]}\text{2λ}{}^2$. Then, we obtained a value for λ = 0.040 ± 0.010 μm^?1 for the acto-heavy meromyosin filament at 24.0 °C ± 1.0 deg. C, and λ = 0.027 ± 0.005 μm^?1 for the acto-tropomyosin-heavy meromyosin filament at the same temperature.In method B, still photographs were taken of the video screen to collect a great number of filaments or parts of filaments which appeared just in focus over their length, and the contour length L of each filament and the angle θ(L) between the tangents at its two ends were measured, on the basis of the assumption that the whole length of each filament was in a plane perpendicular to the direction of view. The data were treated statistically and the results were approximated with 〈cosθ(L)〉 = exp(?λL), which holds for an ensemble of filaments with flexibility λ but in two-dimensional thermal motion (Landau & Lifshitz, 1958). The λ-values obtained by this method for acto-heavy meromyosin and acto-tropomyosin-heavy meromyosin filaments were both in good agreements with those obtained by method A, confirming the reliability of our measurement.F-actin complexed with a saturating amount of myosin subfragment-1 was examined by method B, and its flexibility was shown to be little different from that of acto-heavy meromyosin filaments.