Dynamic and elastic properties of F-actin: a normal-modes analysis.

We examine the dynamic, elastic, and mechanical consequences of the proposed atomic models of F-actin, using a normal mode analysis. This initial analysis is done in vacuo and assumes that all monomers are rigid and equivalent. Our computation proceeds from the atomic level and, relying on a single fitting parameter, reproduces various experimental results, including persistence lengths, elastic moduli, and contact energies. The computations reveal modes of motion characteristic to all polymers, such as longitudinal pressure waves, torsional waves, and bending, as well as motions unique to F-actin. Motions typical to actin include a "groove-swinging" motion of the two long-pitch helices, as well as an axial slipping motion of the two strands. We prepare snapshots of thermally activated filaments and quantify the accumulation of azimuthal angular "disorder," variations in cross-over lengths, and various other fluctuations. We find that the orientation of a small number of select residues has a surprisingly large effect on the filament flexibility and elasticity characteristics.

Normal modes as refinement parameters for the F-actin model.

The slow normal modes of G-actin were used as structural parameters to refine the F-actin model against 8-A resolution x-ray fiber diffraction data. The slowest frequency normal modes of G-actin pertain to collective rearrangements of domains, motions that are characterized by correlation lengths on the order of the resolution of the fiber diffraction data. Using a small number of normal mode degrees of freedom (< or = 12) improved the fit to the data significantly. The refined model of F-actin shows that the nucleotide binding cleft has narrowed and that the DNase I binding loop has twisted to a lower radius, consistent with other refinement techniques and electron microscopy data. The methodology of a normal mode refinement is described, and the results, as applied to actin, are detailed.

Normal mode analysis of G-actin.

We undertook a normal mode analysis of the G-actin monomer bound with ADP and Ca2+, in order to better understand the internal modes of this protein. The internal co-ordinates consisted of 1373 single bond torsions, plus an additional 11 torsions to parameterize the motion of the nucleotide and cation with respect to the protein. A generalized eigenvalue problem was solved to yield a complete description of the motion in the 0.1 to 17.0 picosecond time range. The modes were visualized using an interactive graphics routine. The softest, slowest modes include a propeller-like twisting of the large and small domain about the phosphate binding loops, a rolling of subdomain 4 about an alpha-helix axis and a scissor-type opening and closing of the ADP-binding cleft. The computed temperature factors agree well with experimental ones. A comparable analysis done on G-actin-ATP shows that the softest modes are almost identical.