The model robustly predicts wave dynamics preceded by a turbulence regime. (A) The major reactions described by the model (see text and Materials and methods for details). F, F-actin; RD, inactive Rho; RT, active Rho. Bold arrow indicates the direction of wave propagation. (B) Diagram of the model behavior. Waves are predicted in the domains of wave instability (blue) and oscillations (green); zone 1 is the higher and zone 2 is the lower uniform state. (C and C′) Modeling (C) vs. in vivo (C′) data of normalized active Rho wave amplitude over changing [RGA-3/4^WT]. (D and D′) Modeling (D) vs. in vivo (D′) data of normalized Rho wave temporal width over changing [RGA-3/4^WT]. In C′ and D′, each dot represents a single oocyte; group mean ± 95% confidence interval; 0 ng/μl, n = 10; 66 ng/μl, n = 18; 166 ng/μl, n = 28; 333 ng/μl, n = 18; 1,000 ng/μl, n = 9; seven experiments. One-way ANOVA with Tukey post hoc test for multiple comparisons; data distribution was assumed to be normal but this was not formally tested; **, P < 0.01; ***, P < 0.001; ****, P < 0.0001. (E) Spiral turbulence induced by noise on the boundary between the higher uniform state and the wave instability domain in the model. Active Rho amplitude is color-coded (left). Still-frame (top) and kymograph (bottom); kymograph computed from the central white line. Scale bar = 20 µm. (F) The computationally reconstructed phase of the wave dynamics in E. Turbulent behavior is induced by formation and motion of pairs of phase defects with the opposite charge. A representative pair of defects is shown in insets. Phase increases clockwise in one (charge +1), while counterclockwise in two (−1). Scale bar = 20 µm. (G–I) Still-frames of color-coded Rho activity (top) and resulting kymographs (bottom). (G) Rho flickers at 0 ng/μl. (H) Pulse-mediated turbulence at 33 ng/μl. (I) Fully developed spiral turbulence at 66 ng/μl.