The bacterial cytoskeletal protein FtsZ is a GTPase that is thought to provide mechanical constriction force via an unidentified mechanism. Purified FtsZ polymerizes into filaments with varying structures in vitro: while GTP-bound FtsZ assembles into straight or gently curved filaments, GDP-bound FtsZ forms highly curved filaments, prompting the hypothesis that a difference in the inherent curvature of FtsZ filaments provides mechanical force. However, no nucleotide-dependent structural transition of FtsZ monomers has been observed to support this force generation model. Here, we present a series of all-atom molecular dynamics simulations probing the effects of nucleotide binding on the structure of an FtsZ dimer. We found that the FtsZ-dimer structure is dependent on nucleotidebinding state. While a GTP-bound FtsZ dimer retained a firm monomer-monomer contact, a GDP-bound FtsZ dimer lost some of the monomer-monomer association, leading to a "hinge-opening" event that resulted in a more bent dimer, while leaving each monomer structure largely unaffected. We constructed models of FtsZ filaments and found that a GDP-FtsZ filament is much more curved than a GTP-FtsZ filament, with the degree of curvature matching prior experimental data. FtsZ dynamics were used to estimate the amount of force an FtsZ filament could exert when hydrolysis occurs (20-30 pN per monomer). This magnitude of force is sufficient to direct inward cell-wall growth during division, and to produce the observed degree of membrane pinching in liposomes. Taken together, our data provide molecular-scale insight on the origin of FtsZ-based constriction force, and the mechanism underlying prokaryotic cell division.bacterial cell division | bacterial cytoskeleton | GTP hydrolysis T he bacterial cell-division protein FtsZ, a tubulin homolog and a GTPase, polymerizes into filaments situated underneath the cytoplasmic membrane at the division site (1-3). The ftsz gene is essential and depletion of FtsZ protein leads to cells unable to divide that instead take on a filamentous morphology (4). During division, rod-shaped bacteria such as Escherichia coli synthesize new hemispherical membrane and cell wall, requiring inward forces. While an array of proteins are needed for division to occur (5, 6), FtsZ alone has been demonstrated to be sufficient for generating inward pinching forces on liposomes in vitro (7-10), and is thought to be the source of the constriction force needed for division.How FtsZ generates mechanical force is still unclear, but several models have been proposed (11), one of which is based on the intrinsic nucleotide-dependent bending of FtsZ filaments (12, 13). In the presence of GTP, purified FtsZ assembles into either straight or gently curved filaments with a radius of curvature of approximately 100 nm, while in the presence of GDP, highly curved filaments form with a radius of curvature of approximately 10 nm (12,14,15). Subsequent theoretical modeling demonstrated that the rapid transition between straight and curved FtsZ filaments...