Evidence for expansive power functions in the generation of the discharges of 'low- and medium-spontaneous' auditory-nerve fibers

Re-analysis of data from Geisler et al. [J. Acoust. Soc. Am. 77, 1102-1109, 1985] indicates that the slopes of the intensity versus discharge-rate curves of auditory nerve (AN) fibers decrease systematically with increasing spontaneous discharge rate. For 'high-spontaneous' fibers, the slope is usually less than 0.5 dB/dB, while for 'low-spontaneous' fibers the slopes reach values greater than 4.0 dB/dB. A two-stage model accounts for this behavior. The first stage is a static non-linearity based on the measured intensity-voltage characteristic of inner hair cells. The second stage, representing action-potential generation, is linear for high-spontaneous fibers, but a squaring function for low- and medium-spontaneous fibers. The output of the model displays realistic slopes for its various intensity-rate curves. There are suggestions that a nonlinearity of still higher power is needed to simulate accurately the behavior of AN fibers having the lowest spontaneous rates (less than 0.1/s). The model also accounts for other observed differences between the discharge patterns of the different fiber classes.