a, Toy simulations studying the polarity-sorting kinetics of filaments with varying intrinsic curvatures, lengths and bending rigidities—snapshot of the initial (left) and final (right) configuration of FtsZ L169R filaments at a high density of ϕ = 0.88. The properties of the mutant substantially slow down the polar alignment of filaments in all the studied packing fractions. Only bonds of the filaments (without the full diameter of beads) are presented for clarity. Filaments are colour coded according to the orientation of the bond vectors between beads. b, Fraction of the parallel (polar) alignment of filaments as a function of simulation time. The FtsZ L169R was simulated with two times higher persistence and length than WT, no intrinsic curvature and eight times lower v0 (parameters v0 = 3.625 d/τ, Pe = 300, ℱ = 20, LfL169R = 16d, dθ = 0 rad, ϕ = 0.22–0.88). Although FtsZ WT prefers to align in a parallel orientation, FtsZ L169R stays aligned in a nematic fashion until the end of simulations. c, Representative TIRF micrographs of Alexa488-FtsZ L169R at increasing FtsZ L169R and constant FtsA concentration. We observe very static thread-like self-organization of filaments with no concentration-dependent transitions. The micrographs are representatives of at least four independent experiments (n = 6, 10, 6, 8 and 4 for [FtsZ] = 0.625, 1.15, 1.25, 1.5 and 3 µM). d, Snapshots of large-scale FtsZ L169R simulations with increasing density. The FtsZ L169R filaments were modelled with altered properties according to the HS-AFM analysis: filaments were two times longer and more rigid, had no intrinsic curvature and v0 was eight times lower, resulting in three times lower Peclet number and two times lower flexure number than FtsZ WT (parameters v0= 3.625 d/τ, Pe = 300, ℱ = 20, dθ = 0 rad, LfL169R = 16d). FtsZ L169R exhibits a static thread-like pattern in all the densities, as in the experiment. The filaments are colour coded according to the orientation of the bond vectors between beads.
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