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The Journal of Neuroscience, March 15, 1999, 19(6):2273-2287
Coding of Sound Envelopes by Inhibitory Rebound in Neurons of the
Superior Olivary Complex in the Unanesthetized Rabbit
Shigeyuki
Kuwada and
Ranjan
Batra
University of Connecticut Health Center, Department of Anatomy,
Farmington, Connecticut 06030-3405
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ABSTRACT |
Most natural sounds (e.g., speech) are complex and have amplitude
envelopes that fluctuate rapidly. A number of studies have examined the
neural coding of envelopes, but little attention has been paid to
the superior olivary complex (SOC), a constellation of nuclei that
receive information from the cochlear nucleus. We studied two
classes of predominantly monaural neurons: those that displayed a
sustained response to tone bursts and those that gave only a response
to the tone offset. Our results demonstrate that the off neurons in the
SOC can encode the pattern of amplitude-modulated sounds with high
synchrony that is superior to sustained neurons. The upper cutoff
frequency and highest modulation frequency at which significant
synchrony was present were, on average, slightly higher for off neurons
compared with sustained neurons. Finally, most sustained and off
neurons encoded the level of pure tones over a wider range of
intensities than those reported for auditory nerve fibers and cochlear
nucleus neurons. A traditional view of inhibition is that it attenuates
or terminates neural activity. Although this holds true for off
neurons, the robust discharge when inhibition is released adds a new
dimension. For simple sounds (i.e., pure tones), the off response can
code a wide range of sound levels. For complex sounds, the off response
becomes entrained to each modulation, resulting in a precise temporal
coding of the envelope.
Key words:
auditory system; amplitude modulation; single unit
recording; monaural signal processing; envelope coding; intensity
coding
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INTRODUCTION |
Most natural sounds (e.g., speech)
have envelopes that over time fluctuate in both frequency and
amplitude. Consequently, considerable attention has been devoted to the
neural processing of envelopes. Studies of envelope coding of monaural
sounds have concentrated on the auditory nerve (Palmer, 1982 ; Joris and
Yin, 1992 ), cochlear nucleus (CN) (Moller, 1974 , 1976 ; Frisina et al., 1990 ; Kim et al., 1990 ; Rhode, 1994 ; Rhode and Greenberg, 1994a ), inferior colliculus (Rees and Moller, 1987 ; Langner and Schreiner, 1988 ; Batra et al., 1989 ; Rees and Palmer, 1989 ; Heil et al., 1995 ),
auditory thalamus (Creutzfeldt et al., 1980 ; Rouiller et al., 1981 ),
and auditory cortex (Creutzfeldt et al., 1980 ; Schreiner and Urbas,
1986 , 1988 ; Eggermont, 1993 ). However, little attention has been paid
to envelope coding in monaural neurons of the superior olivary complex
(SOC), a constellation of nuclei that receives information from the
ventral CN and projects this information to higher structures
(Schwartz, 1992 ; Warr, 1992 ; Helfert and Aschoff, 1997 ) as well as
provides feedback to the CN and the cochlea (Liberman and Brown, 1986 ).
The few studies of envelope coding in the SOC either focused on
structures involved in binaural processing [lateral superior olive
(LSO) and medial superior olive (MSO)] (Grothe et al., 1997 ;
Batra et al., 1997b ; Joris and Yin, 1998 ) or were conducted in the
mustached bat, which has a system specialized for echolocation (Grothe,
1994 ). However, the SOC does contain many neurons dedicated to monaural
processing. Most of these neurons are located in periolivary regions
that lie outside the primary binaural nuclei, i.e., the LSO and MSO
(Guinan et al., 1972a ,b ; Tsuchitani, 1977 ). In this study, we
investigated the ability of neurons in the SOC of the unanesthetized
rabbit to code the envelopes of monaural signals.
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MATERIALS AND METHODS |
Experimental preparation. Almost all previous studies
of envelope coding have used an anesthetized preparation. We used
unanesthetized Dutch-Belted rabbits (n = 9) because
anesthetics are known to alter auditory responses (Evans and Nelson,
1973 ; Young and Brownell, 1976 ; Brownell et al., 1979 ; Ritz and
Brownell, 1982 ; Kuwada et al., 1989 ). We chose the rabbit because it
adapts well to the restraint required when an unanesthetized
preparation is used. With light restraint and little previous training,
most rabbits will remain still for a period of 2 or more hours.
Additionally, the rabbit has a well-developed SOC (Ramón y Cajal,
1909 ) and auditory structures with sizes that lie in the middle
of the range of all mammals studied (Glendenning and Masterton,
1995 ).
Surgery and recording procedures. Our surgical procedures
have been described previously (Batra et al., 1997a ) and conformed to
the National Institutes of Health guidelines and protocols approved by
the Animal Care Committee of the University of Connecticut Health
Center. Aseptic surgery was performed in three stages. For each stage,
rabbits were anesthetized with a mixture of ketamine (35 mg/kg) and
xylazine (5 mg/kg) delivered intramuscularly. In the first stage, skin
and muscle were retracted to expose a dorsal region of the skull.
Dental acrylic and screws threaded into the skull were used to affix a
brass rod, parallel to the sagittal suture, and slightly to its left.
The right side of the skull was left exposed between bregma and lambda.
The rabbit was then allowed several days to recover. In the second
stage, the rabbit was fitted with custom ear molds for sound delivery.
An ear mold was made by first inserting a metal tube into the ear canal
and then pressing ear impression compound (Audalin; Esschem, Essington, PA) around it. Once the mold had been removed from the ear, the metal
tube was extracted and replaced with a sound delivery tube made from
electrical shrink tubing. The tip of the sound delivery tube reached to
within 2 cm of the tympanum. After a 1-2 d recovery period, the rabbit
was placed in a soundproof booth and acclimated to head and body
restraint and to the ear molds. The rabbit's body was restrained by a
snug-fitting body stocking and placed in a Plexiglass couch with nylon
safety straps. The head was held stationary by clamping the brass rod.
Ear molds were inserted and tightly coupled to earphones (Beyer DT-48).
Daily sessions were gradually increased to 2 hr. The acclimation period
lasted 1-2 weeks. After this period, the third stage of surgery was
performed. A small hole (2-4 mm) was made in the skull, just rostral
to lambda. The exposed dura was rinsed with sterile saline, treated
with a topical antibiotic (Bacitracin), and covered with sterilized elastopolymer.
During the recording session the animal was restrained as described
above. The elastopolymer cap was removed, and the exposed dura was
desensitized with a topical anesthetic (Lidocaine). The dura was
pierced with a thin-wall hypodermic needle (23xx gauge) inside
which rode the microelectrode (glass-coated platinum-iridium or
platinum-tungsten). A Burleigh microdrive advanced the
microelectrode. Electrode advancement, acoustic stimulation, and data
collection were controlled from outside the soundproof booth. Neural
recordings were filtered between 300 and 3000 Hz and amplified
5,000-10,000 times. Action potentials were timed with an accuracy of
10 µsec.
Typically, a rabbit participated in daily recording sessions over a
period of ~2-3 months. Each session lasted ~2 hr. Although we did
not measure the rabbit's exact behavioral state (e.g., asleep, awake,
drowsy), it was monitored with a video camera, and the session was
terminated if the rabbit fidgeted. The rabbit's comfort was a priority
for ethical as well as for practical reasons, because any movement
would disrupt neural recordings.
Acoustic stimulation and calibration. Stimuli were generated
by dual digital stimulators (Rhode, 1976 ). All stimuli were gated with
linear rise-fall times of 4.0 msec. Intensity levels were initially
referenced to a standard calibration and later corrected using the
actual calibration for that animal. In earlier experiments, acoustic
calibration was performed after the animal was killed. In later
experiments, the calibrations were performed under deep anesthesia. The
calibration procedure is described in detail in Batra et al. (1997a) .
Acoustic cross talk between the ears was measured by delivering tones
to one ear while recording the acoustic signal in the other ear. The
level in the unstimulated ear was ~55-60 dB below that in the
stimulated ear from 0.1-3 kHz. Above 3 kHz, the cross talk was smaller
than the noise level (i.e., not measurable).
Testing procedure. A neuron's best frequency was assessed
by collecting the responses to short (50 msec), monaural tone bursts between 0.2 and 35 kHz in 0.5 octave steps at a suprathreshold level
[typically 50-70 dB sound pressure level (SPL)]. For sustained neurons, the best frequency was defined as the frequency at which the
sustained response was maximal, whereas for off neurons it was the
frequency at which the off response was maximal. The rate versus level
function and discharge pattern were then determined using short,
best-frequency tone bursts (100-125 msec repetition interval, 50-100
repetitions, typically 20-70 dB SPL).
We usually determined whether a neuron was binaural by delivering
best-frequency tone bursts to the preferred ear while varying the level
to the other ear. Another way was to separately test each ear over a
range of frequencies. If the binaural response resembled the monaural
response to the preferred ear, or if it could be attributed to the
effects of acoustic cross talk, then the neuron was classified as
monaural. Conversely, if the binaural response differed systematically
from the monaural response to the preferred ear, or if its response to
the other ear could not be attributed to cross talk (e.g., responses to
the preferred ear were excitatory and the responses to the other ear
were inhibitory), then the neuron was classified as binaural. Neurons
were also tested for binaural inputs by examining their sensitivity to
interaural time difference using the binaural beat stimulus, i.e., a
small frequency difference between the carrier or envelope frequencies between the two ears (Kuwada et al., 1979 ; Batra et al., 1989 ). The
responses of SOC neurons sensitive to interaural time differences were
published previously (Batra et al., 1997a ,b ) and are not included in
this study.
Sinusoidally amplitude-modulated (SAM) tones were 1-1.1 sec in
duration, with a repetition interval of 1.2 or 1.3 sec. At each
modulation frequency, two to three repetitions of the SAM tone were
presented. The carrier was held at the neuron's best frequency, and
modulation depth was initially set at 80%. Modulation frequencies
between 25 and 800 Hz were routinely tested, and higher frequencies
were tested if necessary. Conditions permitting, we tested the response
to SAM tones over a range of levels and modulation depths.
Data analysis. The regularity of the discharge pattern to
short tone bursts for sustained neurons was assessed by using the coefficient of variation (CV). We determined the average CV by dividing
the mean of the interspike intervals (ISIs) over the tone bursts by the SD.
The dynamic range of a neuron to tones, i.e., the range of intensities
over which the response increased monotonically, was estimated from its
rate-level function. The analysis window was the stimulus duration for
sustained neurons and was the off interval for off neurons. The
lower limit of the dynamic range (i.e., threshold) was neural
threshold, i.e., the lowest intensity that evoked a significant
response. Threshold was determined using the "repetition interval
synchronization coefficient" (Batra et al., 1997a ). This coefficient
was calculated by treating the repetition interval of the tone as the
period of a cyclic stimulus. A synchronization coefficient that was
significant (Rayleigh test of uniformity; p < 0.025)
(Mardia, 1972 ) denoted a response that followed the stimulus. The upper
limit of the dynamic range was the intensity at which the response
ceased to increase systematically with intensity, i.e., saturation.
This limit was assessed visually. The dynamic range was the difference
between the two limits. For many neurons, the range of intensities that
was used did not encompass the lower or upper limit or both, so the
dynamic range for many neurons was likely underestimated.
Phase-locking (i.e., synchrony) to the modulation frequency was
assessed both visually and quantitatively. Visual assessment was
performed using period histograms, which depict the average response
over a cycle of the modulation period. The first 100 msec of the
response was excluded from the analysis to avoid onset effects.
Strength of synchrony (R) was determined by
calculating the vector strength of the response (Goldberg and Brown,
1969 ; Kuwada et al., 1987 ). A value of R = 1 indicates
perfect synchrony, and a value of R = 0 indicates no
synchrony. The phase of the modulation at which the neuron discharged
was estimated using the mean phase of the response. Only responses that
were significantly synchronized are displayed (Rayleigh test of
uniformity; p < 0.001) (Mardia, 1972 ), except where noted.
Localization of recording sites. For each electrode
penetration, the electrode was positioned relative to a reference mark on the skull. The depth at which each neuron was studied was noted. During the last recording session, electrolytic lesions were made at
selected sites (10 µA for 10-20 sec). Four to six days after lesion,
the animals was deeply anesthetized with sodium pentobarbital, and most
were perfused with a 10% solution of formol saline. In some animals,
the brain was fixed by immersion in a 10% formol-saline solution. The
brains were frozen and sectioned (30 or 60 µm) in the plane of the
electrode penetrations and then stained with cresyl violet or thionin
(Kuwada et al., 1987 ).
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RESULTS |
Our results are based on the responses of 65 neurons in the SOC.
We classified these neurons into sustained (n = 42) or
off (n = 23) on the basis of their discharge pattern
(see Materials and Methods). Onset responses constituted a small part
of our sample and were not considered further. The best frequencies of sustained and off neurons were similar and ranged from 0.75 to 35 kHz,
with a mode between 8 and 9 kHz.
Of the 35 sustained neurons tested for binaural influences, most were
monaural (29/35; 83%). Of the monaural neurons, approximately half
(15/29) responded to contralateral stimulation, and the remainder responded to ipsilateral stimulation. The remaining six sustained neurons exhibited binaural influences (see Materials and Methods). Two
of these respond more strongly to contralateral stimulation. To
ipsilateral stimulation, one showed a sustained suppression of
spontaneous activity, and the other showed a transient excitation. The
other four preferred ipsilateral stimulation. To contralateral stimulation, two showed a sustained excitation, and two displayed a
transient suppression. Most off neurons tested for binaural influences
were monaural (13/18; 72%), and all responded to contralateral stimulation. The five binaural off neurons (28%) all preferred contralateral stimulation. To ipsilateral stimulation, two responded with sustained excitation, another responded with a transient excitation, another with a transient excitation followed by a sustained
suppression, and yet another with a sustained suppression of
spontaneous activity.
Location of recording sites
Our procedure for estimating the location of a neuron was subject
to considerable error because recordings made over the course of months
were referenced to electrolytic marking lesions made at the end of this
period. Thus brain movements and any slight day-to-day variations in
electrode positioning could influence the estimated location of a
neuron. Another factor was the large distance (~14-18 mm) the
electrode traversed to reach the SOC. Slight deviations in straightness
of the electrode or the guide tube in which it rode could lead to large
errors in the intended location (Batra et al., 1997a ). With these
limitations in mind, we found that all but two of the off neurons were
located medial to the LSO. The off neurons were scattered in the
dorsal-ventral plane that extended above and below the MSO. Sustained
neurons that responded preferentially to stimulation of the
contralateral ear were primarily located medial and ventral to the LSO.
In contrast, the sustained neurons that preferred ipsilateral
stimulation were located almost exclusively near the ventral border of
the LSO.
The sustained and off neurons were likely not located in the principal
binaural nuclei, i.e., LSO and MSO. Previously, we reported on neurons
in the SOC that were sensitive to interaural time differences. Most of
these were presumed to be located in the LSO and MSO (Batra et al.,
1997a ). These neurons were excluded from the present sample. The
neurons sensitive to interaural time differences were recorded in 86 electrode penetrations. The sustained and off neurons in the present
sample were recorded in 53 electrode penetrations. There were only five
electrode penetrations that were common to the present sample and those
in which neurons sensitive to interaural time differences were
encountered. Moreover, in these common penetrations, sustained and off
neurons were encountered ventral to the neurons sensitive to interaural
time differences.
Responses to tones
Sustained neurons displayed various discharge patterns in response
to short tone bursts (Fig.
1A-D) that were
similar to those reported previously in the CN (for review, see Rhode
and Greenberg, 1992 ). Some neurons displayed a tightly locked onset
response followed by peaks throughout the stimulus that were separated by regular intervals, i.e., a chopping pattern (Fig.
1A). In other neurons, the onset was followed by a
pause and then a chopping response that persisted for only a short time
(Fig. 1B). Some neurons displayed a pauser pattern,
i.e., a tightly locked onset, followed by a pause that was then
followed by a sustained discharge for the duration of the tone burst
(Fig. 1C). Finally, there were neurons with primary-like
discharge patterns consisting of a prominent onset that smoothly
decayed to a steady-state level (Fig. 1D).

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Figure 1.
Examples of discharge patterns of sustained
(A-D) and off neurons
(E-H). In all cases, responses are to 50 msec tone bursts at the frequency and intensity indicated.
A, Repetition interval and number of repetitions, 125 msec × 100; B, 125 msec × 75;
C, 100 msec × 100; D, 100 msec × 100; E, 125 msec × 50; F, 200 msec × 50; G, 125 msec × 50;
H, 125 msec × 50. The CV is indicated for
sustained neurons (see Materials and Methods). Bin width is 0.5 msec.
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A common feature of many sustained neurons was the regularity of their
discharge. Regularity was assessed by examining the CV (see Materials
and Methods) at the intensity that elicited the strongest discharge.
The neurons of Figure 1, A and B, had CVs <0.5,
which was consistent with their sustained or transient chopping
pattern. The pauser neuron (Fig. 1C) had an intermediate CV
(0.50), whereas the primary-like neuron (Fig. 1C) had an
irregular firing pattern (CV = 0.81). Most sustained neurons
(31/42; 74%) had a regular firing pattern.
The off discharge pattern has rarely been reported in the CN but was
encountered routinely in the SOC. Off neurons displayed a complete or
almost complete absence of activity during the tone burst but
discharged at the tone offset (Fig. 1E-H).
Spontaneous activity was almost always suppressed during the tone (Fig.
1E,G,H). The magnitude of the off response
differed among neurons. Some neurons had relatively weak responses
(Fig. 1E), whereas others had relatively strong
responses (Fig. 1H). Off neurons also differed in the pattern of their responses. Some responded with a single peak
that decayed to spontaneous levels by ~50 msec after tone offset
(Fig. 1F,G), whereas others responded with two peaks
separated by a pause (Fig. 1E,H). For both
types of off responses, each peak in the poststimulus time histogram
(PST) consisted of multiple action potentials.
Sustained neurons had dynamic ranges that were larger than those of
auditory nerve fibers and neurons in the CN. For auditory nerve fibers
and neurons in the CN, the dynamic range is typically 10-40 dB SPL
(Rhode and Greenberg, 1994b ). Rate-intensity functions illustrating the
dynamic range of neurons in the SOC are shown in Figure
2 (same neurons as Fig. 1). The responses
of the majority of sustained neurons (27/31; 87%) increased
monotonically with stimulus level, but the dynamic range of these
neurons varied considerably (Fig. 2A). Some had
relatively small dynamic ranges (Fig. 2A; neuron
D, ~30 dB), whereas others had much larger dynamic ranges
(Fig. 2A; neurons A and B, >50
dB). The average dynamic range of sustained neurons was 37 ± 11 dB (mean ± SD; n = 31), with most of the neurons
(55%) having a dynamic range 40 dB. Approximately 19% had dynamic
ranges >50 dB. For many neurons, their dynamic range was probably
underestimated (see Materials and Methods).

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Figure 2.
Sustained and off neurons can display a wide
dynamic range. A, Discharge rate versus stimulus level
for the four sustained neurons in Figure 1. B, Same for
the four off neurons in Figure 1. Dynamic ranges for neurons
A-H were 60, 50, 40, 30, 50, 50, 50, and 65 dB.
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Off neurons also had dynamic ranges that were larger than auditory
nerve fibers or CN neurons (Fig. 2B). As with
sustained neurons, some off neurons had relatively small dynamic ranges (data not illustrated), whereas others had much larger dynamic ranges
(Fig. 2B; all >50 dB). The average dynamic range for
off neurons was 42 ± 12 dB. Almost all off neurons (16/17; 94%)
showed a monotonic increase in discharge rate with stimulus level and most (12/17; 71%) had a dynamic range 40 dB SPL. About half (8/17; 47%) had dynamic ranges >50 dB.
Responses to SAM tones: modulation transfer functions
To determine the ability of sustained and off neurons to encode
the envelopes of complex sounds, we measured their discharge rate and
response synchrony to SAM tones over a range of modulation frequencies. Although the activity of off neurons was suppressed during
a tone burst, they discharged continuously to SAM tones at lower
modulation frequencies. Figure 3 depicts
PSTs of the responses of a sustained and an off neuron to SAM tones.
The sustained neuron gave a sustained response at all modulation
frequencies (Fig. 3A-E), similar to its response to
tone bursts. The off neuron produced an off discharge at all modulation
frequencies (Fig. 3F-J), but at lower frequencies
there was also a sustained discharge during the SAM tone (Fig.
3G-J).

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Figure 3.
Sustained neurons and off neurons responded during
a SAM tone. A-E, Discharge pattern for a sustained
neuron to SAM tones at the modulation frequencies indicated;
F-J, same for an off neuron. For both neurons,
modulation depth (80%) and stimulus duration (1100 msec), repetition
interval (1300 msec), and number of repetitions (3) were the same.
Sustained neuron carrier frequency and intensity: 14 kHz, 22 dB SPL.
Off neuron: 6 kHz, 42 dB SPL. Bin width is 10 msec.
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Off neurons were strongly synchronized to the envelope at all
modulation frequencies at which they responded to SAM tones, whereas
the synchrony of sustained neurons varied with modulation frequency.
Figure 4 shows the responses of the same
neurons as in Figure 3 plotted as a function of modulation phase. The
sustained neuron synchronized well at intermediate modulation
frequencies (Fig. 4C-E), but at higher and lower modulation
frequencies the strength of synchrony declined (Fig.
4A,B,F). In contrast, the off neuron
synchronized strongly at all (Fig. 4H-L) but the
highest modulation frequency (Fig. 4G), although the
discharge declined at higher frequencies (Fig.
4G,H).

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Figure 4.
Synchrony of off neurons was generally higher and
more constant across modulation frequencies than sustained neurons.
A-F, Cycle histograms of a sustained neuron at
different modulation frequencies (derived from the responses in Fig.
3A-E). G-L, Same for an off neuron
(derived from the responses in Fig. 3F-J). Cycle
histograms were created by averaging the responses at the same stimulus
modulation phase. All responses showed significant synchrony except
A. Bin width is 0.033 cycles.
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The contrasting responses of sustained and off neurons to SAM tones
resulted in their having different modulation transfer functions (MTFs)
(Fig. 5). For the sustained neuron of
Figures 3 and 4, the discharge rate as a function of modulation
frequency (rate MTF) was relatively flat (Fig. 5A, ),
whereas for the off neuron it was low-pass (Fig. 5A, ).
The synchrony as a function of modulation frequency (synchrony MTF) was
bandpass for the sustained neuron (Fig. 5B, ) but was
low-pass for the off neuron (Fig. 5B, ). At each
modulation frequency, the off neuron synchronized to the envelope more
strongly than the sustained neuron.

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Figure 5.
Summary plot of the rate MTFs and synchrony MTFs
for the sustained neurons and the off neuron illustrated in Figure 4.
A, Plots of discharge rate versus modulation frequency
(rate MTFs) for the sustained ( ) and off ( ) responses.
B, Plots of synchrony versus modulation frequency
(synchrony MTFs) for the same two neurons. All discharge rates tested
are plotted in A, but only responses that showed
significant synchrony are displayed in B. Spontaneous
rates for sustained and off neuron were 94.7 and 56.6 spikes/sec,
respectively.
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In general, the MTF patterns of the neurons illustrated in Figures 3-5
reflected the responses of our entire sample of sustained and off
neurons. Figure 6A
shows the synchrony and rate MTFs for about half of our sustained
neurons (n = 20). The remainder (n = 22) were not plotted for the sake of visual clarity. In general, the
synchrony MTFs of sustained neurons were bandpass (Fig.
6A). Averaging across all neurons yielded a
population MTF that was mildly bandpass (Fig. 6B).
The bandpass nature of most MTFs was more clearly visible when the MTFs
in Figure 6A were normalized to each neuron's best
modulation frequency (BMF) and its maximum synchrony (Fig.
6C). Averaging across the normalized MTFs of all the neurons
yielded a population MTF based on synchrony that was clearly bandpass
(Fig. 6D). In contrast the rate MTFs were relatively flat (Fig. 6E), and the corresponding population MTF
was relatively flat as well (Fig. 6F). Most off
neurons had synchrony and rate MTFs that were low-pass (Fig.
7, A and C,
respectively). The synchrony was usually very high (>0.8) within the
pass-band. The low-pass shapes of the MTFs resulted in population MTFs
that were also low-pass (Fig. 7B,D).

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Figure 6.
In general, the synchrony MTFs of sustained
neurons were bandpass in shape, whereas their rate MTFs were flat. For
visual clarity, only the responses of half (20/42) the sustained
neurons are shown. A, Synchrony MTFs. B,
Mean synchrony MTF derived by averaging the synchrony MTFs of all
(n = 42) the sustained neurons. C,
Normalized synchrony MTFs of responses in A. Both
synchrony and each neuron's BMF were normalized. D,
Mean normalized synchrony MTF of all sustained neurons.
E, Rate MTFs of the neurons in A.
F, Mean rate MTF of all sustained neurons. Error bars
represent SE.
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Figure 7.
In general, synchrony and rate MTFs of off neurons
were low-pass. A, Synchrony MTFs of all off neurons
(n = 23). B, Mean synchrony MTF
derived by averaging the synchrony MTFs in A.
C, Rate MTFs of all off neurons. D, Mean
rate MTF of all off neurons. Error bars represent SE.
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Off neurons encoded a slightly higher range of modulation frequencies
than sustained neurons. Figure 8 compares
the upper cutoff modulation frequency and the highest modulation
frequency at which significant synchrony was present for these two
groups. Figure 8A displays the BMFs of sustained
neurons. Because most off neurons had MTFs that were low-pass, it was
inappropriate to measure their BMFs. For this reason, we estimated (by
interpolation) the high modulation frequency cutoff at which the
synchrony was 20% lower than the maximum (Fig. 8B).
This level was chosen because at high modulation frequencies synchrony
of off neurons declined abruptly to where synchrony was no longer
significant. The steep decline made interpolating the cutoff frequency
at a conventional level (e.g., 6 dB below maximum) impossible in most
neurons. The same measure was made on sustained neurons. Based on this
measure, off neurons synchronized, on average, to modulation
frequencies ~140 Hz higher than sustained neurons (t = 2.39; df = 53; p < 0.02). We also measured the
highest modulation frequency at which significant synchrony was present
(Fig. 8C). The highest modulation frequency was ~80 Hz
higher for off neurons, but this difference was not significant
(p > 0.05).

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Figure 8.
Off neurons encoded a slightly higher range of
modulation frequencies than sustained neurons. A,
Distribution of BMF for sustained (n = 42) neurons.
B, Distribution of upper cutoff frequencies for
sustained (n = 40) and off (n = 15) neurons. The upper cutoff was the modulation frequency above the
neuron's BMF at which the synchrony was 20% lower than the maximum.
C, Distribution of highest modulation frequency where
significant synchrony was still present for sustained
(n = 42) and off (n = 23)
neurons. D, Off neurons synchronized more strongly than
sustained neurons. For each neuron, the highest synchrony across
modulation frequency, modulation depth, and sound intensity was
selected. Shown is the distribution of this synchrony for sustained
(n = 42) and off (n = 23)
neurons. For A-C, bin width is 0.5 octaves; for
D it is 0.1 cycles. Solid lines
(sustained neurons) were centered on each bin, and dashed
lines (off neurons) have been shifted slightly rightward for
visual clarity. For each distribution, the mean and SD for sustained
and off neurons is indicated.
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Off neurons also displayed higher synchrony than sustained neurons. We
compared the highest synchrony exhibited by neurons of each type (Fig.
8D). The highest synchrony of sustained neurons covered a wide range (0.21-0.95), with an average of 0.70. In contrast, the highest synchrony of off neurons clustered tightly between 0.83 and 0.99 with an average of 0.94. This difference in
synchrony between sustained and off neurons was highly significant (t = 6.78; df = 71; p < 0.001).
In a linear system, the phase of the synchronized response changes
linearly with modulation frequency. The slope of the linear fit to this
plot is an estimate of the delay between the acoustic stimulus and the
responses of the neuron (Anderson et al., 1971 ; Joris and Yin, 1992 ).
The intercept of the fit is an estimate of which phase of the signal
reaching the neuron evokes a response. Figure
9A illustrates the linear
change in response phase with modulation frequency for a sustained and
an off neuron. The slopes of the fits indicate delays of 5.0 and 4.7 msec for the sustained and off neurons, respectively. The phase
intercept of the sustained neuron is 0.11 cycles, and that of the off
neuron is 0.71 cycles. The modulation was presented in sine
phase, meaning that the peak of the envelope occurred at a phase
of 0.25 cycles, and the trough at 0.75 cycles. Thus, the sustained
neuron discharged just before the peak, whereas the off neuron
discharged just before the trough of the incoming signal.

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Figure 9.
Sustained and off neurons had similar delays but
different phase intercepts. A, Phase versus frequency
plots for a sustained ( ) and an off ( ) neuron. The plot for each
neuron is fit with a straight line using a least-squares criterion. The
slope of this line is an estimate of the delay between the sound source
and the neural response. Slope (delay) and phase intercept for the two
neurons are as indicated. B, Distribution of delays for
sustained and off neurons. Bin width is 1 msec. Mean delay and SD are
as indicated. C, Distribution of phase intercepts for
sustained and off neurons. Bin width is 0.1 cycles. Vector mean phase
( ) and synchrony (R) are as indicated. In both
B and C, solid lines
(sustained neurons) reflect the center of each bin and dashed
lines (off neurons) have been shifted slightly rightward for
visual clarity. Distributions are based on 41 sustained and 23 off
neurons.
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On average, sustained and off neurons responded with similar delays
(sustained, 5.1 ± 1.2 msec; off, 4.9 ± 0.3 msec) (Fig. 9B). However, the delays of sustained neurons were
distributed over a wider range than those of off neurons.
In the auditory nerve and CN, delay decreases with characteristic
frequency of the neuron. This relationship reflects the travel time
along the basilar membrane. In our SOC neurons there was little if any
relationship between a neuron's delay and its best frequency.
The phase intercepts of the phase-frequency plots were consistent with
the notion that the response of sustained neurons is via excitation and
the response of off neurons is via a rebound from inhibition (Fig.
9C). The phase intercepts of all but three of the sustained
neurons were grouped slightly below 0.25 cycles, and those of off
neurons were all grouped slightly below 0.75 cycles. The difference
between the means was 0.57 cycles. Thus, sustained neurons responded
just before the maximum amplitude of the incoming signal was reached
(0.25 cycles), and off neurons responded just before the minimum
amplitude was reached (0.75 cycles).
Effects of modulation depth
Both sustained and off neurons synchronized to a wide
range of modulation depths but differed in how the response changed with modulation depth. Figure 10 plots
the discharge rate and synchrony as a function of modulation depth for
four sustained and four off neurons. For comparison, we also include
the minimum and maximum of rate and synchrony functions (Fig. 10,
dashed lines) in a small number of auditory nerve fibers in
the cat (Joris and Yin, 1992 , their Fig. 2). Sustained neurons
responded with about the same discharge rate at all modulation
depths, much like auditory nerve fibers (Fig. 10A,
dashed lines). In contrast, the discharge rate of off
neurons increased with modulation depth (Fig.
10B).

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Figure 10.
Effects of changing modulation depth on the
responses of sustained and off neurons to SAM tones. A,
B, Discharge rate as a function of modulation depth for four
sustained neurons (A) and four off neurons
(B). For comparison, the responses of auditory
nerve fibers (dashed line) (from Joris and Yin, 1992 ,
their Fig. 2) are provided in all panels. C, D,
Synchrony as a function of modulation depth for the same four sustained
and off neurons as in A and B,
respectively. E, F, Gain as a function of modulation
depth for the same four sustained and off neurons. The modulation
frequency was set at each neuron's BMF.
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Sustained and off neurons also differed in how their synchrony changed
with modulation depth. Sustained neurons showed a gradual increase in
synchrony with modulation depth that was similar to that of auditory
nerve fibers (Fig. 10C, dashed line). The
absolute synchrony could be similar or greater than that of auditory
nerve fibers. In contrast, the synchrony of off neurons increased
rapidly to a high value and then remained constant with modulation
depth (Fig. 10D). The synchrony of off neurons was
noticeably higher than even the maximum seen in the sample of auditory
nerve fibers.
The constancy of the synchrony of off neurons across a wide range of
modulation depths implies that the amplification (gain) by these
neurons of the modulation in the stimulus changes with increasing
depth. This was demonstrated by calculating the modulation gain
according to the formula 20 log 2R/modulation depth
(Joris and Yin, 1992 ), where R = synchrony. At low
modulation depths, the gain of off neurons (Fig. 10F)
was greater than that of sustained neurons (Fig.
10E), and that of auditory nerve fibers (dashed
lines). As the depth was increased, the gain of both sustained and
off neurons declined, but the gain of off neurons declined more
steeply. At 100% modulation, the gain of sustained and off neurons was similar and resembled the maximum gain seen in the sample of auditory nerve fibers.
Figure 11 plots the rate and synchrony
MTFs at several modulation depths for a sustained (Fig.
11A,B) and an off neuron (Fig. 11E,F). The rate MTFs of the sustained neuron
remained relatively flat and constant at all modulation depths (Fig.
11B). In contrast, the rate MTFs of the off neuron
changed with modulation depth (Fig. 11F). At lower
modulation depths (<30%), the functions were flat, and the discharge
rate was lower than the spontaneous activity (arrows). This
presumably occurred because at lower modulation depths the SAM tones
resemble pure tones that suppress neural activity during the
stimulation period (e.g., Fig. 1E-H). At
higher modulation depths, the discharge rate of off neurons rose above the spontaneous level, and the rate MTFs were low-pass. Note that even
at these modulation depths, the response falls below the spontaneous
level at high modulation frequencies. However, at lower modulation
frequencies, the periodic inhibition to each modulation is completely
or nearly completely released, evoking a rebound discharge to each
modulation. This results in a discharge rate higher than the
spontaneous activity. In contrast, at low modulation depths or high
modulation frequencies, the periodic inhibition is never released and
consequently there is no rebound response. The inhibition now serves to
only attenuate and modulate the spontaneous activity.

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Figure 11.
Synchrony and rate MTFs for a sustained and off
neuron as a function of modulation depth (A, B and
E, F) and stimulus level (C, D and
G, H). The shape of the synchrony and rate MTFs
of sustained (A, B) and off (E, F)
neurons remained relatively constant across modulation depths, but the
synchrony MTF of sustained neurons could change with level. Carrier
frequency was at the neuron's best frequency. Intensity of the SAM
tone for the sustained neuron (A, B) was 29 dB SPL, and
for the off neuron (E, F) it was 28 dB SPL. Depth
of modulation of the SAM tone for C, D, G, and
H was 80%. Horizontal arrows indicate
spontaneous activity (9.7 and 39.1 spikes/sec for spontaneous and off
neuron, respectively).
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The synchrony MTFs of the sustained neuron at different modulation
depths resembled a bandpass function (Fig. 11A), and
synchrony increased with modulation depth. Although the BMF could shift slightly with modulation depth, in general the function remained bandpass. In comparison, the synchrony MTFs of the off neuron (Fig.
11E) were low-pass and uniformly high, except at the
lowest modulation depths (5%). The lower synchrony at these low
modulation depths is likely to be a consequence of the periodic
modulation of the spontaneous activity as discussed above.
Effects of stimulus level
We have already described the dynamic range of neurons in the SOC
to short tone bursts (Fig. 2). Here we examine their dynamic range to SAM tones. Figure 12
plots the rate and synchrony of the response as a function of stimulus
level for seven sustained and seven off neurons at their BMF. The
discharge rate of sustained neurons increased monotonically with a
dynamic range typically >40 dB SPL (Fig. 12A). Off
neurons usually had a nonmonotonic rate level function (Fig.
12B). The two off neurons in the sample that displayed a monotonic rate-level function (Fig. 12B;
neurons 13 and 14) also had a high threshold for synchrony. If we had
tested higher stimulus levels on these neurons, the rate-level function might have been nonmonotonic. The monotonic rate-level functions to
tones and nonmonotonic functions to SAM tones displayed by off neurons
have also been observed in the MSO of the free-tailed bat (Grothe et
al., 1997 ). A possible explanation for the nonmonotonic behavior
may involve the relationship between the latency of the off response
and the period of the modulation envelope. As the intensity of a pure
tone was increased, the off discharge increased (Fig. 2), as well as
its latency (data not shown). For low and intermediate intensity SAM
tones, the off response to one cycle of modulation may not interact
with the suppression produced by the next cycle. However, at higher
intensities where the latency is longer, the off response to one cycle
may be attenuated by the suppression evoked by the next cycle. In this
way, the SAM tone behavior becomes nonmonotonic.

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Figure 12.
Discharge rate and synchrony of sustained
and off neurons as a function of the intensity of a SAM tone. A,
B, Discharge rate as a function of stimulus level for seven
sustained neurons (A, neurons
1-7) and for seven off neurons
(B, neurons 8-14). C,
D, Synchrony as a function of stimulus level for the same seven
sustained (C) and off (D)
neurons. In all cases, modulation depth was 80%, and modulation
frequency was at or near the neuron's BMF.
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In contrast to the rate-level function, the synchrony-level function of
sustained neurons took many forms. Synchrony could remain relatively
constant (Fig. 12C, neuron 6), increase
(neuron 2), decrease (neurons 1, 3,
7), or be nonmonotonic (neurons 4, 5) with stimulus level. In comparison, the synchrony of most
off neurons increased rapidly with stimulus level (Fig.
12D), saturating at a value of ~0.9 by ~20 dB SPL.
The shape of the synchrony MTFs of a sustained neuron could change when
the stimulus intensity level was changed (Figs. 11C), whereas that of an off neuron remained relatively constant (Fig. 11G). At the lowest intensity, the synchrony MTFs of the
sustained neuron were low-pass (Fig. 11C). However, they
became more and more bandpass with increasing stimulus levels. In
comparison, the synchrony MTFs of the off neuron were low-pass at all
stimulus levels (Fig. 11G). The lower synchrony at low
stimulus levels reflect a modulation of spontaneous activity, where an
off response was not present.
The rate MTFs for the sustained neuron remained relatively flat with
increasing stimulus levels (Fig. 11D). Where the rate was above spontaneous, the rate MTFs of off neurons were low-pass or
mildly bandpass (Fig. 11H).
 |
DISCUSSION |
Our results demonstrate that sustained and off neurons
differ in their ability to follow the pattern of sounds. Somewhat
surprisingly, off neurons were better at this than sustained neurons.
This indicates that an inhibitory rebound mechanism by itself is
sufficient to encode, with high fidelity, ongoing envelopes in complex sounds.
Location of sustained and off neurons
The locations of sustained and off neurons in the SOC of
the rabbit, as shown here, are consistent with those reported in the
cat by Guinan et al. (1972a ,b ), who found that monaural,
con-tralaterally excited neurons (their class 4) were located
ventromedial to a line approximately through the center of the MSO.
Monaural, ipsilaterally excited neurons (their class 3) were most often
located dorsolateral to the MSO. Tsuchitani (1977) also reported that
ipsilaterally excited neurons were all located lateral to the MSO.
These locations are consistent with the locations of our sustained
neurons. Guinan et al. (1972a ,b ) found that contralaterally evoked off
responses (their class 2) were located in the medial nucleus
of the trapezoid body (MNTB), ventral nucleus of the trapezoid body,
and dorsal medial periolivary nucleus (DMPO). These locations are
consistent with Tsuchitani (1977) , who found that there were
no off responses in cells located lateral to the MSO, and with the
present results. Off neurons are also present in the SOC of the
mustached bat but are located in the MSO (Grothe, 1994 ). The MSO of
this bat appears specialized for monaural processing related to
echolocation (Covey and Casseday, 1991 ). Perhaps off neurons reflect a
general class of neurons that are represented in different structures
depending on the specializations of the species.
Response to tones
The short delays of our sustained and off neurons suggest that
their inputs are from CN neurons or from other SOC neurons. Their large
dynamic ranges suggest that they receive inputs from many CN neurons,
or from a select population of cells in the CN [e.g., onset choppers
(Rhode and Greenberg, 1994b ); neurons in the small cell cap
(Ghoshal and Kim, 1996 )]. The dynamic range of off neurons in the SOC
has not been studied previously. Tsuchitani (1977) reported that the
dynamic range of monaural sustained neurons in the lateral cell group
was ~12-80 dB, a range similar to that found here.
Our off neurons probably correspond to three different categories of
neurons described by Guinan et al. (1972a) . Their off category (class
2) has disparities with ours. They included in their off category only
neurons that had a short-latency, tightly locked response. Other
neurons that had a long-lasting, long-latency off response were
assigned to different categories (classes 9 and 10). Our off neurons
had short latencies (as measured by the phase delay), like those in
their class 2, but also had a long-lasting response, like those in
their classes 9 and 10. They used a barbiturate-anesthetized preparation, whereas our preparation was anesthetic-free. Because barbiturates are known to potentiate GABA-mediated inhibition (Barker
and Ransom, 1978 ) and GABAergic terminals and neurons are present in
the SOC (Wenthold, 1991 ), it is possible that their classes 2, 9, and
10 represent a single class of off neurons. Consistent with this idea,
the locations of their classes 9 and 10 neurons overlapped with that of
their class 2 neurons.
Responses to SAM tones
The responses of sustained neurons in the SOC to SAM tones could
simply be a reflection of the input from the ventral CN. Most of the
MTFs of our regular, sustained neurons (Fig. 6A)
resembled those of regular, sustained neurons in the CN. There,
sustained neurons have synchrony MTFs with a bandpass shape that
becomes more low-pass at lower stimulus intensities (Frisina et al.,
1990 ; Rhode and Greenberg, 1992 ). We have also shown that some
sustained neurons may have a higher modulation gain than the auditory
nerve. Some neurons of CN appear to have a similar increase in gain
(Frisina et al., 1990 ). Thus, there appears to be no substantial
increase in gain between the CN and the sustained neurons of the SOC.
In contrast to sustained neurons, the responses of off neurons to SAM
tones did not appear to be a mere reflection of CN input. The gain of
off neurons was much higher than that of most neurons in the CN,
particularly at shallow modulation depths. Similar results have been
reported for off neurons in the MSO of the mustached bat (Grothe,
1994 ). As in the rabbit, off neurons in the bat MSO synchronized
strongly to envelopes and had synchrony and rate MTFs that were
low-pass.
The MTFs of binaural neurons in the LSO have also been examined (Batra
et al., 1997b ; Joris and Yin, 1998 ). Like the off neurons, the
sustained neurons of the LSO displayed high synchrony and synchrony and
rate MTFs that were low-pass. Moreover, in general their synchrony was
higher than the sustained neurons of this study. The high synchrony of
LSO neurons may be a consequence of an ipsilateral inhibitory input
(Brownell et al., 1979 ; Kuwabara and Zook, 1992 ) that would serve to
increase synchrony (Grothe, 1994 ).
Neural mechanisms of off neurons
The off response is most likely a rebound from inhibition, rather
than an excitatory response that has been partially occluded by
inhibition during the stimulus. Off neurons in the MSO of the bat are
monaural and receive excitatory and inhibitory inputs from the
contralateral side (Grothe, 1994 ). Inactivating the inhibitory input
pharmacologically revealed that the off response was separate from the
excitatory response during the stimulus. Our finding that the off
neurons discharge near the trough of the modulation cycle (Figs.
9A,D) is also consistent with an inhibitory rebound mechanism.
The source of the inhibitory input to off neurons is probably not the
ventral CN because it has very few glycinergic or GABAergic neurons
(Peyret et al., 1986 , 1987 ). The short delay of the off response
suggests that the source is within the SOC itself. One possible source
for this inhibitory input is the principal neurons of the MNTB. These
neurons give off collaterals within the MNTB itself, as well as in the
DMPO (Morest, 1968 ; Banks and Smith, 1992 ; Kuwabara and Zook, 1992 ).
Stellate cells in the MNTB are thought to be one of the sources of off
responses as are the neurons in the DMPO (Guinan et al., 1972b ). The
observation that the principal neurons of the MNTB, like our off
neurons, have low-pass synchrony MTFs is also consistent with the
notion that these neurons are the source of inhibition for off neurons
(Joris and Yin, 1998 ).
Inhibitory rebound by itself appears sufficient to explain the strong
off responses we encountered, but in other neurons in the CNS it
usually evokes only an action potential or two. Recently, Wu and Kelly
(1995) reported that neurons in the dorsal nucleus of the lateral
lemniscus produced a long-lasting depolarization in response to the
release of hyperpolarization. This depolarization could elicit a burst
of action potentials. Perhaps this membrane characteristic is also
present in the off neurons in the SOC.
Why is synchrony of off neurons so high? Grothe (1994) suggested that
the rebound response to the release of inhibition attributable to the
falling slope of the modulation envelope is sharpened by the increasing
inhibition created by the rising slope of the next envelope. The upper
cutoff frequency of off neurons is probably related to the time course
of the release from inhibition. At low modulation frequencies, the
magnitude of the rebound response is only marginally reduced by the
next modulation envelope because the modulation period is long.
However, at high modulation frequencies, the rebound response is
markedly reduced by the subsequent envelope because the period is
short. Synchrony would remain high or even increase. Ultimately, there
would be no rebound response because the time course of the release
from inhibition would overlap with the rising inhibition to the next
modulation envelope.
Functional considerations
In general, the rate MTFs of sustained and off neurons were flat
and low-pass, respectively. Thus, there is little, if any, information
about modulation frequency conveyed in the discharge rate. However, the
discharge rate of sustained neurons displayed a monotonic increase with
intensity to SAM tones, suggesting a role in intensity coding of
complex signals and pure tones.
The synchrony of sustained neurons often peaked at a particular
modulation frequency, suggesting that such neurons could optimally convey information about that modulation frequency using a temporal code. However, the BMF often changed as a function of level.
Furthermore, at low levels the synchrony MTFs were low-pass, and a BMF
was not present. In contrast, the synchrony of off neurons was high and
constant across a wide range of modulation frequencies and levels.
Because off neurons can discharge to each cycle of the modulation,
independent of stimulus level, they are ideal candidates to transmit
precise temporal information about envelopes to higher centers. Whether
their influence on neurons in higher centers is excitatory or
inhibitory is unknown, but in either case they could serve to shape the
way that information about envelopes is encoded by the system.
 |
FOOTNOTES |
Received Sept. 16, 1998; revised Dec. 29, 1998; accepted Dec. 31, 1998.
This work was supported by National Institutes of Health Grants DC02178
and NS18027. We thank Lisa Seman for technical assistance and Douglas
C. Fitzpatrick and Bill D'Angelo for helpful comments.
Correspondence should be addressed to Dr. Shigeyuki Kuwada, Department
of Anatomy, University of Connecticut Health Center, Farmington, CT
06030-3405.
 |
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