Extended Data Fig. 9: Coupled phase oscillator-based phenomenological model.
a, Sample full-annihilation interaction between two spirals of opposite rotational directions. The black streamlines represent the phase flows of the simulated phase field. The red and blue circles denote the anticlockwise and clockwise rotating spirals, respectively. b, Same as a, but showcasing the repulsive interaction between two anticlockwise spirals. c, The reversal of rotational directions in selected spirals reorganizes large-scale activity flow. 1st column, the phase flows (white streamlines) immediately before the reversal of two selected spirals at the end of original simulation (t = 150), overlayed with the colourmap representing the absolute angle differences between the phase flows before and after the reversal (the region of coordination, or ROC, where phase flows are reversed is highlighted in red); 2nd column, the phase flows (white streamlines) 150 iterations (time steps) following the reversal, also overlayed with the same colourmap of angle differences as in the first column; 3rd column, the original phase flows immediately before the reversal. The red circles mark the two spirals to be reversed. 4th column, the phase flows immediately following the reversal; 5th column, the phase flows 10 iterations following the reversal; 6th column, the phase flows 150 iterations following the reversal. d, Same as c, but all spirals within the phase field have their rotational directions reversed. e, Same as d, but selected spirals to be reversed are spread across the entire phase field.
