The nonlinear increase of the elongation rate of actin filaments above the critical monomer concentration was investigated by nucleated polymerization of actin. Significant deviations from linearity were observed when actin was polymerized in the presence of magnesium ions. When magnesium ions were replaced by potassium or calcium ions, no deviations from linearity could be detected. The nonlinearity was analyzed by two simple assembly mechanisms. In the first model, if the ATP hydrolysis by polymeric actin is approximately as fast as the incorporation of monomers into filaments, terminal subunits of lengthening filaments are expected to carry to some extent ADP. As ADP-containing subunits dissociate from the ends of actin filaments faster than ATP-containing subunits, the rate of elongation of actin filaments would be nonlinearly correlated with the monomer concentration. In the second model (conformational change model), actin monomers and filament subunits were assumed to occur in two conformations. The association and dissociation rates of actin molecules in the two conformations were thought to be different. The equilibrium distribution between the two conformations was assumed to be different for monomers and filament subunits. The ATP hydrolysis was thought to lag behind polymerization and conformational change. As under the experimental conditions the rate of ATP hydrolysis by polymeric actin was independent of the concentration of filament ends, the observed nonlinear increase of the rate of elongation with the monomer concentration above the critical monomer concentration was unlikely to be caused by ATP hydrolysis at the terminal subunits. The conformational change model turned out to be the simplest assembly mechanism by which all available experimental data could be explained.

Depolymerization of treadmilling actin filaments by a capping protein isolated from bovine brain was used for determination of the equilibrium constant for binding of the capping protein to the barbed ends of actin filaments. When the capping protein blocks monomer consumption at the lengthening barbed ends, monomers continue to be produced at the shortening pointed ends until a new steady state is reached in which monomer production at the pointed ends is balanced by monomer consumption at the uncapped barbed ends. In this way the ratio of capped to uncapped filaments could be determined as a function of the capping protein concentration. Under the experimental conditions (100 mM KCl and 2 mM MgCl2, pH 7.5, 37 degrees C) the binding constant was found to be about 2 X 10(9) M-1. Capping proteins effect the actin monomer concentration only at capping protein concentrations far above the reciprocal of their binding constant. Half-maximal increase of the monomer concentration requires capping of about 99% of the actin filaments. A low proportion of uncapped filaments has a great weight in determining the monomer concentration because association and dissociation reactions occur at the dynamic barbed ends with higher frequencies than at the pointed ends.

Tropomyosin was isolated from bovine brain using mild conditions thereby avoiding heat precipitation. Separation by DEAE ion exchange chromatography yielded a 33 kDa tropomyosin and a mixture of 30 and 32 kDa tropomyosin. Binding of the tropomyosins to actin filaments was measured by a newly developed method. The binding was assayed by the retarding effect of tropomyosin on actin polymerization. The 33 kDa tropomyosin was found to bind to actin filaments with considerably higher affinity than the 30 and 32 kDa tropomyosin.

Actin filaments can assemble at the barbed end and disassemble simultaneously at the pointed end. A higher monomer concentration is required to balance the association of actin monomers and the dissociation of filament subunits at the pointed end than at the barbed end. This treadmilling reaction or disparity of the apparent affinity of the two ends for monomers is caused by a continuous hydrolysis of adenosine triphosphate occurring during the association of a monomer with a filament end. In this article, in vitro investigations on treadmilling are reviewed and emerging physiological implications are discussed.