Chiral and nematic phases of flexible active filaments

The emergence of large-scale order in self-organized systems relies on local interactions between individual components. During bacterial cell division, the tubulin-homolog FtsZ polymerizes into treadmilling filaments that further assemble into a cytoskeletal ring. Although minimal in vitro assays have shown the striking self-organization capacity of FtsZ filaments, such as dynamic chiral assemblies, how these large-scale structures emerge and relate to individual filament properties remains poorly understood. To understand this quantitatively, we combined minimal chiral active matter simulations with biochemical reconstitution experiments. Using STED and TIRF microscopy as well as high-speed AFM, we imaged the behavior of FtsZ filaments on different spatial scales. Simulations and experiments revealed that filament density and flexibility define the local and global order of the system: At intermediate densities, flexible filaments organize into chiral rings and polar bands, while an effectively nematic organization dominates for high filament densities and for mutant filaments with increased rigidity. Our predicted phase diagram captured these features quantitatively, demonstrating how filament flexibility, density and chirality cooperate with activity to give rise to a large repertoire of collective behaviors. These properties are likely important for the dynamic organization of soft chiral matter, including that of treadmilling FtsZ filaments during bacterial cell division. ### Competing Interest Statement The authors have declared no competing interest.