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Fig. 5. Validation of Fourier-based kymograph analysis by simulation. (A-D) Left, Simulated kymograph; middle, power spectrum of Fourier transform and ring sector; right, angular distribution plots (corresponding to speeds) in the kymograph (blue, input; red, output as measured inside the ring sector). (A) Simulation of unidirectional growth with narrow distribution of growth speeds. (B) Simulation of bidirectional growth with symmetrical distribution of growth speeds. (C) Simulation of bidirectional growth with asymmetrical distribution of growth speeds; input frequencies differ by a factor of 10. (D) Simulation of unidirectional growth with broad distribution of growth speeds. (E) Measured versus theoretical minor peak position in simulation C, where the major peak remained fixed and the minor peak varied from 10 to 70 degrees. Vertical bars represent standard deviation of 10 independent simulations. (F) Theoretical peak width of measured velocities (FWHM) in simulation D; input peak width varied from 2 to 30 degrees. Vertical bars represent standard deviation of 10 independent simulations.