Supporting Information for “Homeostatic Enhancement of Sensory Transduction”

SI Appendix 1: Experimental Localization of a Hopf Bifurcation Hartigans’ dip statistic was employed to experimentally identify the stiffness value at which a supercritical Hopf bifurcation occurred in an actual hair bundle (1-3). The position distribution for a quiescent bundle is unimodal, whereas a spontaneously oscillating bundle yields a multimodal distribution. Larger values of the dip statistic arise from multimodal distributions; unimodal distributions possess smaller values. The transition from unimodal to multimodal, which occurs when the dip statistic reaches a statistically significant value, signals a bifurcation. Setting the p-value threshold at 0.01 yielded statistically significant dip values, and thus indicated spontaneous oscillations, for stiffnesses less than 710 μN·m -1 (Figure S1).