Slowly adapting stretch-receptor organs: Periodic stimulation with and without perturbations

The length of isolated slowly adapting stretch-receptor organs (SAO) from crayfish was submitted to approximately sinusoidal modulations of 0.030---0.800 mm at frequencies of about 0.2, 1.0 or 3.0 cps. Sines were imposed either by themselves ("clean") or mixed with ("perturbed by") fast irregular length fluctuations or "jitter". The amplitude of the latter remained within a specified fraction of the modulation, usually two-thirds (or x0.66), though from one twentieth to twice (or x0.05---2.00) were explored. The afferent impulse discharge was recorded: rate over bins of about 1/10 of the period was plotted as function of ongoing time. Within stationary epochs, average cycles were analyzed primarily in terms of lengths and discharge intensities. Each point in the displays corresponded to a particular bin along the average cycle, the abscissa and the ordinate being the length and the corresponding discharge rate, respectively; points were numbered in the order of their generation. Similar displays were constructed for rate vs velocity, rate vs acceleration, and rate-change vs velocity. Experiments without jitter. The non-perturbed state. With 0.2 and 1.0 cps, the rate vs length display had a "clockwise loop with a flat extension to the left". The SAO at its shortest did not discharge and remained silent for some time. As length augmented, it eventually started firing, reaching maximum rate while being stretched (lead) or at maximum length. While length decayed, the organ fired less, slowing down, stopping at a length greater than where it had started, and then remaining silent until the end of the cycle. With 3.0 cps, the display had a "counterclockwise loop with a flat extension on the left". The SAO did not discharge at its shortest, and fired more during relaxation than during stretching, peaking when relaxing (lag) and stopping at a length greater than where it had started. Artificial introduction of time separations between length and rate converted displays into acceptably straight lines only in a few, usually 0.2 cps, cases. The rate vs length relation exhibited consistent departures from monotonic increase and from linearity: departures were large fractions of the overall swings involving flat extensions, leads, lags, saturation effects, asymmetric rate sensitivities, and "locking" (which was frequent with 1.0 or 3.0 cps and could conceivably be more common with faster modulations). Other experimental paradigms have demonstrated multivaiued steady-state-rate-length relations. The variability from cycle to cycle of the rate in a particular bin was high or low for bins with low or high rates, respectively. "Rate vs velocity" plots were counter-clockwise loops with a base upon the abscissae, higher rates when velocity was decaying than when augmenting, and maxima at non-negative velocities. "Rate-change vs velocity" plots showed shortening associated with either discharge, decreases or small changes, and lengthenings associated with discharge increases, greater when augmenting if at 0.2 cps or when decaying if at 3.0 cps. "Rate vs stimulus acceleration" plots were, for the three tested frequencies, counterclockwise loops with a base upon the abscissae and higher rates when acceleration was decaying than when augmenting, suggesting a particular role in sensing accelerations. The sensitivity to length was evaluated by comparing the rate-swings at each frequency using identical bin-widths and depths. This procedure is considered to be most meaningful physiologically. Sensitivity was contingent upon the bin-width: with small bins (30 and 120 ms) it was highest for 3.0 cps, with intermediate bins (160 ms) it was highest for 1.0 cps, and with larger bins it was practically uniform. Differences involved factors of under x1.7. Experiments with jitter. The perturbed state. Jitter changed radically the "rate vs length" displays, converting all of them into clockwise folium-like loops, which implied a shift from lag to lead at 3.0 cps. Introduction of appropriate lags brought points acceptably close to straight, positively sloped segments: this occurred often at 0.2 cps, sometimes at 1.0 cps, and exceptionally at 3.0 cps. Jitter altered the variability profile along the cycle, decreasing peak variability and not affecting or increasing the minimum; variability along the cycle was thus reduced and uniformed and identification of stimuli on the basis of discharges was improved. Jitter amplitude was an important issue. The larger ones, about the modulation size, increased the lowest bin-rates, particularly at 0.2 and 1.0 cps, and increased the peaks at 0.2 cps, decreasing them at 1.0 and 3.0 cps. The smaller jitter, about 1/10 of the modulation, affected the lowest rates little, but increased the peak rate at 0.2 cps, decreasing it at 1.0 and 3.0 cps; display shapes changed little. A qualitative model of the SAO involves subsystems with linear features, as well as rectification, stiction-like and saturation-like properties. Depending upon back-ground length, modulation depth, jitter and several other issues, the organ can perform frankly nonlinearly, piece-wise linearly or linearly. Within each context, a particular stimulus is of interest and can be referred to as the "signal"; others are not, and can be referred to as "noise", acting as "perturbations". Small, erratic perturbations influence strongly transduction of large steps or sines, simplifying and making it more proportionate. Large regular perturbations act upon small signals too, but their influence has been explored less extensively.