A minimal delay-feedback model for root gravitropism predicts oscillations when delay is sufficiently long relative to growth speed, with a robust fourfold delay-to-period relation supported by Arabidopsis data.
Complete devil’s staircase, fractal dimension, and universality of mode-locking structure in the circle map
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Delayed control driven oscillations in plant roots
A minimal delay-feedback model for root gravitropism predicts oscillations when delay is sufficiently long relative to growth speed, with a robust fourfold delay-to-period relation supported by Arabidopsis data.