DOI: 10.5281/zenodo.17531038
title: Emergence of chiral multi-armed spirals in an open system of migrating cells under continuous cell supply

description: 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 (tatsuo.shibata@riken.jp)

 

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)


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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)


 

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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