By the early 1990s, most biophysicists and cell biologists agreed that polymerization of actin filaments at the leading edge of a motile cell pushes the plasma membrane forward, creating a protrusion that extends the border of the cell (Fig. 1). For cells on a flat substrate, like a microscope slide, this leading edge is a relatively flat lamella less than 1 mm thick. To balance protrusion at the front end, contractility of the cytoplasm was believed to pull the rear of the cell forward toward attachments that form continuously behind the leading edge.Multiple lines of evidence supported the idea that actin polymerization drives cellular movements. Early electron micrographs of thin sections showed microfilaments (subsequently confirmed to be actin) in the cytoplasm next to the leading edge (1). Even better, electron micrographs of negatively stained specimens showed dense arrays of filaments at angles to the plasma membrane (2). Drugs that interfere with actin polymerization stop the protrusion of the leading edge (3), and two elegant fluorescence microscopy experiments established that actin polymerizes near the leading edge. First, Yu-Li Wang injected live cells with fluorescent actin, which incorporated into cellular actin structures (4). When he bleached a spot in the fluorescent leading lamella of the stationary cell, the spot moved away from the leading edge as new fluorescent actin was incorporated next to the plasma membrane. Over time, the fluorescence recovered, showing that the filaments turned over. Julie Theriot and Tim Mitchison used photoactivation to learn more (5). They injected motile cells with actin coupled to a ''caged'' fluorescent dye. After the tagged actin molecules incorporated into cellular actin structures, they uncaged the fluorescent dye with a light pulse near the leading edge. As the cell moved forward, the spot of fluorescent actin was stationary relative to the substrate and turned over on a time scale of tens of seconds. Electron microscopy (2) showed that these leading edge actin filaments are mostly oriented with their faster growing ''barbed ends'' (6) toward the leading edge of motile cells.Many of these ideas were reinforced by parallel experiments on the movements of certain bacteria through the cytoplasm of host animal cells (7). Actin polymerization next to the bacterium assembles a comet tail of actin filaments that propels the bacterium through the cytoplasm (8,9). This work culminated in reconstitution of bacterial motility from purified actin and a few other proteins (10).Knowing the equilibrium constant for subunit addition to actin filaments, Hill and Kirschner made solid thermodynamic arguments for how polymerization might produce the force to push the membrane forward (11). However, Peskin, Odell, and Oster (12) pointed out ''such arguments provide no mechanistic explanation of how the free energy of polymerization is actually transduced into directed mechanical force.'' A series of three classic papers in Biophysical Journal by George Oster with Charles Peskin...