Emergence of chiral multi-armed spirals in an open system of migrating cells under continuous cell supply

Supporting data for Emergence of chiral multi-armed spirals in an open system of migrating cells under continuous cell supply Masayuki Hayakawa, Biplab Bhattacherjee, Hidekazu Kuwayama, Tatsuo Shibata Corresponding author: Tatsuo Shibata ([e-mail]) Experimental Data The following datasets (EXP-01–EXP-21) correspond to the experimental results presented in the main text and supplementary figures. EXP-01_spiral — Multi-armed spiral formation without image processing (Fig. 1a) EXP-02_band_velocity_distribution — Spatial distribution of velocity of traveling bands (Fig. 1d) EXP-03_band_speed_vs_distance — Dependence of speed of the traveling bands on the distance from the center (Fig. 1e) EXP-04_density_profile_x — Cell density profile along the x axis (Fig. S8b) EXP-05_density_profile_y — Cell density profile along the y axis (Fig. S8c) EXP-06_radial_PIV_vectorfield — Vector field obtained by PIV along the radial direction (Fig. 1f) EXP-07_core_PIV_vectorfield — Vector field within rotating core obtained by PIV (Fig. S1a) EXP-08_core_speed_estimation — Estimation of cell speeds within the core from the PIV (Fig. S9b) EXP-09_polar_order_timeseries — Time series of the polar order parameter (Fig. S1b) EXP-10_band_shape_theta_vs_ra — Shape analysis of the traveling band (θ vs r/a) (Fig. 2b) EXP-11_band_shape_theta_vs_r — Shape analysis of the traveling band (θ vs r) (Fig. S1c) EXP-12_density_intensity_map — Intensity map of the cell density (Fig. S2b) EXP-13_a_and_VOmega — Time evolution of the slope parameter a by fitting and V/Ω (Fig. 2c) EXP-14_band_speed_and_angular_speed — Time evolution of the band speed V and the angular speed Ω (Fig. 2e) EXP-15_cell_distance_upon_collision — Distance between two cells before and after collision (Fig. 3c) EXP-16_collision_angle_in_out — Incoming and outgoing angle upon two-cell collision (Fig. 3d) EXP-17_cluster_size_distribution — Distribution of cell cluster size in the cell chirality assay (Fig. S3a) EXP-18_angular_change_sample1 — Distribution of angular change (sample 1) (Fig. 3e) EXP-19_angular_change_sample2 — Distribution of angular change (sample 2) (Fig. S3b) EXP-20_angular_change_sample3 — Distribution of angular change (sample 3) (Fig. S3b) EXP-21_angular_velocity_3samples — Angular velocity of the KI cells (3 samples) (Fig. 3f) --- Simulation Data The following datasets (SIM-01–SIM-20) correspond to the simulation results presented in the main text and supplementary figures. SIM-01_spiral_particle_coordinates — Coordinates of each particle: Multi-armed spiral (Fig. 4a) SIM-02_local_phi_t3000 — Spatial distribution of local polar order parameter (t=3000) (Fig. S4a) SIM-03_local_phi_t5000 — Spatial distribution of local polar order parameter (t=5000) (Fig. S4a) SIM-04_local_phi_t7000 — Spatial distribution of local polar order parameter (t=7000) (Fig. S4a) SIM-05_local_phi_t9000 — Spatial distribution of local polar order parameter (t=9000) (Fig. S4a) SIM-06_concentric_particle_coordinates — Coordinates of each particle: Concentric pattern (Fig. 4a) SIM-07_spot_particle_coordinates — Coordinates of each particle: Spot (Fig. 4a) SIM-08_density_and_orientation — Density profile and cell orientation along the radial direction (Fig. 4a) SIM-09_phase_diagram — Phase diagram (Fig. 4b) SIM-10_band_shape — Temporal dynamics of the spiral shape (constant supply rate) (Fig. S4b) SIM-11_a_vs_time — Time evolution of the slope parameter a (constant supply rate) (Fig. S4b inset) SIM-12_band_shape_constant_supply_theta_vs_ra — Shape analysis of the traveling band (constant supply rate, θ vs r/a) (Fig. 4c) SIM-13_band_shape_constant_supply_theta_vs_r — Shape analysis of the traveling band (constant supply rate, θ vs r) (Fig. S4c) SIM-14_a_vs_supply_rate — Slope parameter as a function of supply rate (Fig. 4c inset) SIM-15_band_shape_decaying_supply_theta_vs_ra — Shape analysis of the traveling band (decaying supply rate, θ vs r/a) (Fig. 4d) SIM-16_band_shape_decaying_supply_theta_vs_r — Temporal dynamics of the spiral shape (decaying supply rate, θ vs r) (Fig. S4d) SIM-17_density_intensity_map — Intensity map of the cell density (Fig. S2d) SIM-18_a_and_VOmega — Time evolution of the slope parameter a by fitting and V/Ω (decaying supply rate) (Fig. 4e) SIM-19_band_speed_and_angular_speed — Time evolution of the band speed V and the angular speed Ω (decaying supply rate) (Fig. 4f) SIM-20_polar_order_density_gradient — Dependence of polar order direction on the density gradient (Fig. S6) --- Movies Movie 1.mov — Movie S1 Movie 2.mov — Movie S2 Movie 3.mov — Movie S3 Movie 4.mp4 — Movie S4 Movie 5.mp4 — Movie S5 Movie 6.mp4 — Movie S6 Movie 7.mp4 — Movie S7