Tuning of Proportional-Resonant Controllers Combined with Phase-Lead Compensators Based on the Frequency Response

1. The two main types of lateral line organs of lower vertebrates are the superficial neuromasts (SN), with a cupula that protrudes in the surrounding water, and the canal neuromasts (CN), located in the lateral line canal. The scales of the trunk lateral line canal of fish contain SNs as well as CNs. In this study, we examine whether there exist two functional classes of afferent fibers in the trunk lateral line nerve of the rainbow trout that can be attributed to the SNs and CNs. 2. The response properties of the afferent fibers in the trunk lateral line nerve have been determined during stimulation with sinusoidally varying water motion generated by a small vibrating sphere. Linear frequency response analysis revealed the presence of two distinct populations of afferent fibers in the lateral line nerve. The fibers belonging to the two populations showed significant differences in the frequency at which the sensitivity was maximal, the low-frequency response slope and the low-frequency asymptotic phase angle. 3. One population of fibers has a maximum sensitivity at 36 +/- 13 (SD) Hz (n = 22) and responds up to this frequency to water velocity. The low-frequency slope of the frequency response of these fibers was 20 +/- 3 (SD) dB/decade and the low-frequency phase lead was 121 +/- 11 degrees (mean +/- SD), both with respect to sphere displacement. The fibers of the other population have a maximum sensitivity at 93 +/- 14 (SD) Hz (n = 12) and respond up to this frequency to water acceleration. The low-frequency slope of these fibers was 35 +/- 5 (SD) dB/decade, and the low-frequency phase lead was 188 +/- 13 degrees (mean +/- SD). 4. Analysis of the stochastic properties of the spontaneous activity of both types of fibers revealed that the mean firing rate of the fibers responding to water velocity (26 +/- 12 spikes/s, mean +/- SD; n = 22) was significantly higher than that of the fibers responding to acceleration (36 +/- 11 spikes/s, mean +/- SD; n = 12). The other statistical properties of the spontaneous activity were found to be indistinguishable. 5. From comparison of the results with the available quantitative data on frequency responses of lateral line organs in other species, it has been concluded that the fibers responding (< or = 40 Hz) to water velocity innervate SNs and that the fibers responding (< or = 90 Hz) to water acceleration innervate CNs.(ABSTRACT TRUNCATED AT 400 WORDS)

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Analysis of response properties of deefferented mammalian spindle receptors based on frequency response

Journal of Neurophysiology ◽

10.1152/jn.1975.38.3.663 ◽

1975 ◽

Vol 38 (3) ◽

pp. 663-672 ◽

Cited By ~ 34

Author(s):

Z. Hasan ◽

J. C. Houk

Keyword(s):

Frequency Response ◽

Early Stage ◽

Low Frequency ◽

Dynamic Responses ◽

Apparent Difference ◽

Average Sensitivity ◽

Response Data ◽

Phase Lead ◽

Sensory Process ◽

Lower Frequencies

Sinusoidal responses of primary and secondary endings in deefferented spindles of anesthetized cats were studied over the low-frequency range 0.001-0.1 Hz. Stretch amplitudes were chosen conservatively small (25-100 mum peak-to-peak) so as to lie within the linear region. 1. At 0.1 Hz average sensitivity was 350 pps/mm for primary endings and 80 pps/mm for secondary endings. Sensitivity fell to lower values at lower frequencies, but even at 0.001 Hz, corresponding to 17 min/cycle, sensitivity remained elevated above static values determined with large stretches. Phase lead varied from 5 to 50 degrees and, in the case of primary endings, tended to be greater at lower frequencies. 2. Except for the different scaling factors, the only apparent difference between the frequency responses of primary and secondary endings was a tendency for primary endings to show a greater phase lead over the range 0.001-0.01 Hz. 3. Dynamic responsiveness was assessed theoretically from frequency-response data by calculating responses to ramps at various velocities. Over most of the velocity range dynamic responses were not proportional to velocity. The greater dynamic responsiveness of primary endings during large (6 mm) ramp stretches might be related to frequency response below 0.01 Hz. 4. Certain aspects of dynamic responsiveness to large ramps (6 mm) were accounted for by assuming all phases of responses were attenuated by 25 dB in the case of primary endings and 20 dB in the case of secondary endings. The nonlinearity responsible for attenuation appears to occur at an early stage in the sensory process. 5. Comparison of individual responses to slow ramps with predictions based on linear theory indicated the presence of abrupt departures from linearity for both primary and secondary endings.

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