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J Neurophysiol 90: 2818-2826, 2003. First published July 30, 2003; doi:10.1152/jn.00268.2003
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Effects of Amplitude Modulation on the Coding of Interaural Time Differences of Low-Frequency Sounds in the Inferior Colliculus. I. Response Properties

S. J. Sterbing, W. R. D'Angelo, E.-M. Ostapoff and S. Kuwada

Department of Neuroscience, University of Connecticut Health Center, Farmington, Connecticut 06030

Submitted 20 March 2003; accepted in final form 25 July 2003


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
Most sounds in the natural environment are amplitude-modulated (AM). To determine if AM alters the neuronal sensitivity to interaural time differences (ITDs) in low-frequency sounds, we tested neuronal responses to a binaural beat stimulus with and without modulation. We recorded from single units in the inferior colliculus of the unanesthetized rabbit. We primarily used low frequency (~25 Hz) modulation that was identical at both ears. We found that modulation could enhance, suppress, or not affect the discharge rate. In extreme cases, a neuron that showed no response to the unmodulated binaural beat did so when modulation was added to both ears. At the other extreme, a neuron that showed sensitivity to the unmodulated binaural beat ceased firing with modulation. Modulation could also affect the frequency range of ITD sensitivity, best ITD, and ITD tuning width. Despite these changes in individual neurons, averaging across all neurons, the peak and width of the population ITD function remained unchanged. Because ITD-sensitive neurons also time-locked to the modulation frequency, the location and sound attributes are processed simultaneously by these neurons.


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
A major cue for determining the location of low-frequency sounds is the interaural time difference (ITD) created by the unequal path lengths that a sound must travel to reach each ear. The ITD responses of inferior colliculus (IC) neurons to tonal stimulation have been extensively studied (Fitzpatrick et al. 1997Go; Kuwada et al. 1984Go; McAlpine et al. 1998Go; Rose et al. 1966Go; Stanford et al. 1992Go; Yin and Kuwada 1983Go). However, natural sounds possess attributes, e.g., the fluctuations in intensity present in animal vocalizations and human speech, that are independent of the spatial position. AM is commonly used to study neural sensitivity to intensity fluctuations, and this sensitivity has been well described at many levels of the auditory pathway (for recent reviews, see Eggermont 2001Go; Frisina 2001Go).

How modulation of a low-frequency sound influences spatial information is poorly understood but has been explored most thoroughly in frogs and toads (Gooler et al. 1993Go; White et al. 1992Go; Xu et al. 1996Go). Van Stokkum and Melssen (1991Go) found that a large number of midbrain neurons were selective to both ITD and AM, whereas only few were selective for unmodulated tones.

To determine if comparable neurons were present in mammals, we studied the ITD sensitivity of IC neurons to low-frequency tones that did or did not have intensity fluctuations in the unanesthetized rabbit. We found that neurons could simultaneously code the ITD and the AM and that modulation could have a graded effect from extreme enhancement to extreme suppression. The present paper describes these responses in detail, and discusses the possible functional significance. In a companion paper, we investigate the neural mechanisms behind the effects reported here (D'Angelo et al. 2003Go). Preliminary results were reported in abstract form (D'Angelo et al. 2001Go).


    METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
Animals

Single-unit recordings were made from adult, female Dutch-belted rabbits (1.5–2.5 kg) with healthy external ears. All animal procedures were approved by the Committee for Animal Care and Use at the University of Connecticut Health Center and conformed to the guidelines for laboratory animal care and use published by the National Institutes for Health. As surgical and experimental procedures have been fully described elsewhere (e.g., Fitzpatrick et al. 2000Go; Kuwada et al. 1987Go), they will be only briefly recounted.

Surgical procedures

All surgery was performed under aseptic conditions. Under anesthesia [ketamine (44 mg/kg) and xylazine (6 mg/kg) im], a square brass rod was anchored to the skull using screws and dental acrylic. About a week later, the animal was again anesthetized to make custom-fitted ear molds. This was done by filling the external meatus and the concha with dental impression material (Reprosil, Dentsply International, Milford, DE). In a separate procedure, a craniotomy (~8 x 4 mm) was performed under anesthesia to allow a dorsal approach to the IC. After each experimental session, the craniotomy was covered with sterilized medical elastopolymer (Sammons-Preston Rolyan, Germantown, IL).

Recording procedures and data collection

All recordings were conducted in a double-walled, sound-insulated chamber. The unanesthetized rabbit was placed in a spandex sleeve and seated in a padded cradle, and its head was secured to the stereotaxic frame by clamping to the head bar. The elastopolymer was removed, and the topical anesthetic Marcaine was applied to the exposed dura so that penetration by the electrode was painless. Our recording sessions were limited to ~2 h for practical and ethical reasons and could be terminated at any time if the rabbit showed signs of discomfort. Each rabbit participated in daily recording sessions over a period of 3–6 mo. Extracellular recordings were made with glass-coated, tungsten or platinum-tungsten microelectrodes (0.7–1.3 µm tip diameter, 3–15 M{Omega} impedance). The location of each electrode penetration was determined stereotaxically. The action potentials of single neurons were isolated with the aid of a time/amplitude window discriminator (BAK Electronics, Germantown, MD) and timed relative to the stimulus onset with an accuracy of 10 µs.

Acoustic stimulation

Stimuli were generated using a digital stimulation system (Rhode 1976Go) and delivered to the two ears through Beyer DT-48 earphones coupled to the ear molds to form a sealed system. The ear molds were fitted with a sound-delivery tube that extended to within ~2.5 cm of the tympanum. The system was calibrated for amplitude and phase from 60 Hz to 40 kHz in 20-Hz steps by means of a probe tube that extended ~1 mm from the end of the sound-delivery tube.

Sensitivity to ITDs was assessed by recording the response to a binaural beat stimulus. The first type of binaural beat stimulus was created by delivering tones to each ear that differed by 1 Hz and is schematically illustrated in Fig. 1, A and B. The actual binaural beat is created by the interactions of the neural representations of the signals to the right and left ear (Fig. 1C). This stimulus results in a complete cycle of interaural phase change every second. The second type of binaural beat stimulus was created by adding identical sinusoidal AM to the two ears (Fig. 1, D–F). This resulted in a signal with a continuously varying ITD in the carrier frequency while the envelope ITD remained constant. Natural signals would create a shift in both the carrier and envelope. However, the modulations we typically used have large periods compared with the period of the carrier. So even if we imposed the same ITD shift in the envelope and carrier, the shift in the envelope would be miniscule compared with its period. The peak intensity of the tones and modulated tones were the same (typically 70 dB SPL). Thus the modulated tones had less energy (4.24 dB) than the unmodulated tones.



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FIG. 1. Schematic of the binaural beat stimulus without and with identical sinusoidal AM to the 2 ears. Left: unmodulated waveforms for the left (A) and right ear (B) and the resulting binaural beat (C); modulated waveforms for the left (D) and right ear (E) and the modulated binaural beat (F). Note: the actual binaural beat (schematized in C and F) is created by the interactions of the neural representations of the signals to the right and left ear. Right: frequency spectra of the corresponding waveforms. Note that with equal peak amplitudes, the amplitude of the carrier frequency is reduced by 6 dB compared with the unmodulated signal. The amplitude of each sideband is further reduced by 6 dB. The overall energy is 4.24 dB higher for the unmodulated stimulus.

 

In the experiments, the two types of binaural beat stimuli were both 5,100 ms long, presented every 6,100 ms (i.e., 5 cycles of the beat frequency). We explored the ITD sensitivity to a range of carrier (200–2,000 Hz) and modulation frequencies (12–400 Hz).

Data analysis

Analyses of neural responses to binaural beat stimuli have been described previously (Fitzpatrick et al. 2000Go; Yin and Kuwada 1983Go). We found no significant differences among peak-, trough-, and intermediate-type neurons for the measures described in the following text. Therefore we divided our sample into peak-type and trough-type neurons. Peak-type neurons had characteristic phases between 0.00 and 0.25 cycles or between 0.75 and 1.00 cycles, whereas trough-type neurons had characteristic phases between 0.25 and 0.75 cycles. This analysis was performed only on neurons that displayed significant ITD sensitivity (P < 0.001) over at least four frequencies. In the cases where the ITD sensitivity to the unmodulated binaural beat was weak, this classification was based on the response to the modulated binaural beat. Composite ITD curves were obtained by averaging the ITD functions across the responsive frequency range for each neuron using the limitation that the frequencies were matched for the modulated and unmodulated condition. Three measures were extracted from the composite ITD curve: the best ITD, the peak rate, and the ITD tuning width. For each of these measures, a parabolic fit was made to the peak and trough of the composite ITD curve. The best ITD was the center of the parabolic fit to the peak and the peak rate was the rate at the center of the parabola. The peak and trough width of the ITD tuning curve was the width measured 50% between the maximum and minimum response.

If adding modulation to the binaural beat increased the response relative to the unmodulated binaural beat, the neuron was classified as enhanced (positive percent change) and suppressed if modulation decreased the response (negative percent change). This division does not recognize neurons that were relatively unaffected by modulation. However, rather than setting an arbitrary criterion for enhancement and suppression, we simply let the dividing line be zero. Thus our conclusions based on differences between neurons that show enhancement and those that display suppression are highly conservative because both groups contain responses that were not affected by modulation.

To calculate the percent change, the denominator was always the largest response, rather than the response to either the modulated or unmodulated binaural beat. We did so to limit the maximum percent change to +100% and –100% for enhanced and suppressed neurons, respectively. Dividing by the modulated or unmodulated response would create an asymmetrical axis of percent change. More details of our calculation with examples are provided in RESULTS.

Localization of recording sites

During the last several recording sessions, electrolytic lesions (10 µA, 10 s) were made at selected sites where ITD sensitivity was present. Under deep anesthesia [ketamine (44 mg/kg) and xylazine (6 mg/kg) im; pentobarbital sodium (Nembutal; 37.5 mg/kg) iv], the animals were perfused with a 2.5% solution of formol saline. The brains were sectioned and stained with cresyl violet. All of our lesions were located in the IC.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
Simultaneous coding of ITD and SAM

We examined the ITD responses to low frequency tones using a 1-Hz binaural beat stimulus with and without sinusoidal AM (SAM) in 272 single neurons from the IC of five unanesthetized rabbits. For a subset of our sample, we examined synchrony (i.e., phase-locking) to different modulation frequencies when added to the binaural beat stimulus (Fig. 2A). This synchrony modulation transfer function (MTF) is lowpass. Because low modulation frequencies produced the highest synchrony and because their sidebands fell within the estimated critical band for our carrier frequencies (300–1,500 Hz), we at least tested the effect of a low modulation frequency (23–25 Hz) on the ITD responses for all neurons.



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FIG. 2. A: averaged synchrony (R, Raleigh coefficient) across neurons to different modulation frequencies (n = 32). B: an example of a neuron's response to the 1-Hz binaural beat viewed as an interaural phase histogram. C: the same response in B now synchronized to the modulation frequency. D: the distribution of synchrony of our sample (n = 224) to low modulation frequencies (23 or 25 Hz). {square}, nonsignificant synchrony.

 

Almost all neurons synchronized to both the 1-Hz beat and the low modulation frequency. An example of the responses from such a neuron is shown in Fig. 2, B and C. Synchrony is displayed via cycle histograms over a period of the 1-Hz beat frequency (Fig. 2B: contra: 900 Hz, ipsi: 901 Hz, R = 0.74) and the modulation frequency (Fig. 2C: 23 Hz, R = 0.86). Both responses were significantly synchronized (P < 0.001). Note that synchronization to the modulation frequency is also seen as responses at equal intervals within the period of the binaural beat (Fig. 2B). Synchrony to low modulation frequencies (23 and 25 Hz) for our population is plotted in Fig. 2D. Although a few neurons did not synchronize to these modulation frequencies (Fig. 2D, open bar), the vast majority did so (93%) with a modal synchrony near 0.8.

Effect of AM on firing rate

Modulation could enhance or suppress or not affect the discharge rate to the binaural beat. Figure 3 shows the poststimulus time histograms (PSTs) to the binaural beat without (left) and with modulation (right) for five example neurons (Fig. 3, A–E). In the extreme cases, neurons that showed no response to the unmodulated binaural beat displayed robust ITD sensitivity when modulation was added (e.g., Fig. 3A) or conversely, neurons that displayed a robust response to the unmodulated binaural beat could cease firing when modulation was added (e.g., Fig. 3E). More commonly, neurons responded to the unmodulated binaural beat and the addition of modulation either enhanced (e.g., Fig. 3B) or suppressed (e.g., Fig. 3D) the discharge rate. For other neurons, modulation did not appreciably affect the discharge rate (e.g., Fig. 3C).



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FIG. 3. Poststimulus time histograms of the responses to the unmodulated (left) and modulated (right) binaural beat for 5 example neurons. In all cases, the stimulus duration was 5,100 ms, and the peak SPL was 70 dB. The examples reflect the responses at frequencies that evoked the maximal peak discharge rate. The effects of modulation followed a continuum (A–E) of extreme enhancement to extreme suppression.

 

We analyzed the effects of modulation in two ways. The first way was based on the difference between the peak discharge rate to the unmodulated and modulated binaural beat. The second way was based on the difference of the discharge rates at unfavorable and favorable ITDs to the unmodulated and modulated binaural beat. These analyses are illustrated for a neuron that showed enhancement (Fig. 4A) and one that showed suppression (Fig. 4B) with modulation. Each measure is expressed as a percent change with positive percentages reflecting increased rates under SAM. With modulation, the unit in Fig. 4A showed a 36% increase in peak rate but only a 29% increase in maximum-minimum measure. Note that the denominator is different for enhanced and suppressed neurons. This was done to equalize the range of change between the unmodulated and the modulated condition from –100% (suppression) to +100% (enhancement). The difference in the two measures becomes apparent because for this neuron, modulation elevated the response to both favorable and unfavorable ITDs. The unit in Fig. 4B showed the same substantial decrease (–92%) for the peak rate and maximum-minimum measures. The result is similar for both measures because for this neuron, the response to unfavorable ITDs remained unchanged while the response to favorable ITDs was suppressed under modulation.



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FIG. 4. Examples for the 2 measurements based on discharge rate (spikes/s) to assess the effect of modulation. The differences in peak rate and the differences in maximum minus minimum rate, both expressed as a percent. The peak rate and minimum rate are as indicated. A: an enhanced neuron. Difference in peak rate: 36% = [(144–92)/144]*100, difference in maximum minus minimum rate: 29% = [(127–90)/127)]*100. B: suppressed response. Both measures yielded a change of –92%. The calculations were the same except the denominator was the peak rate for the unmodulated condition. For both enhanced and suppressed neurons, the maximum amount of change was limited to 100%.

 

The distributions of change in peak rate and maximum-minimum measures were similar and occurred for both peak and trough type neurons. Figure 5 shows the changes in peak rate (A) and maximum-minimum (B) measures based on each neuron's composite ITD curve. We grouped the neurons as enhanced if the change in peak rate was positive and suppressed if the change was negative (Fig. 5A). Clearly, this division does not recognize neurons that were relatively unaffected by modulation. However, rather than setting an arbitrary criterion for enhancement and suppression, we simply let the dividing line be zero. For the peak rate and maximum-minimum measures, 62 and 57% of the neurons, respectively, were classified as enhanced and 38 and 43%, respectively, as suppressed. Although there were more peak- than trough-type neurons, both types were similarly distributed across the enhanced and suppressed groups. Not included in this distribution are the neurons that only responded to the modulated binaural beat (n = 22) and those that only responded to the unmodulated binaural beat (n = 14). More neurons were enhanced for the modulated signal even though it contained less energy.



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FIG. 5. The distribution of the peak rate (A) and maximum-minimum (B) measures described in Fig. 4. The stacked histograms are separated for trough-type ({square}) and peak-type ({blacksquare}) neurons. Those with a positive average rate change were called enhanced neurons, and those with a negative change suppressed neurons. Sample size for both distributions was 236. Note that neurons that responded only to the modulated signal (n = 22) or only to the unmodulated signal (n = 14) were not included.

 

The frequency tuning of enhanced and suppressed neurons appeared to be similar. We measured the best frequency for 40 enhanced and 42 suppressed neurons. Both types showed a similar distribution (~0.3–16 kHz) with a median best frequency of 2.8 kHz.

To examine the ITD functions of peak- and trough-type neurons that displayed enhancement or suppression, we averaged the ITD functions derived from the unmodulated and modulated binaural beat for the neurons in each category (Fig. 6). As expected, the population ITD functions for peak-type neurons that were classified as enhanced had a higher discharge rate to a modulated versus an unmodulated binaural beat (Fig. 6A, left). Conversely, the population ITD function for suppressed peak-type neurons had a lower discharge rate to a modulated binaural beat (Fig. 6A, right). Interestingly, enhanced neurons displayed about half the peak discharge rate to an unmodulated signal compared with suppressed neurons. This is in agreement with the observation that the response of IC neurons to low modulation frequencies is greatest when the mean discharge rate of the neuron is relatively low (Rees and Palmer 1989Go). Moreover, the peak rate for the enhanced neurons to the modulated condition was less than that for the suppressed neurons to the unmodulated condition. On the other hand, the peak rate for the suppressed neurons to the modulated condition was higher than the response of the enhanced neurons to the unmodulated condition. When normalized, both enhanced and suppressed neurons displayed highly similar population ITD functions to the unmodulated and modulated signals. The population ITD functions of trough-type neurons paralleled the pattern seen for peak-type neurons (Fig. 6B) except that the degree of enhancement and suppression was less for trough-type neurons (53%) compared with peak-type neurons (75%). Furthermore, to an unmodulated signal, enhanced trough-type neurons displayed only a 31% lower discharge rate than suppressed trough-type neurons, whereas peak-type neurons showed a 57% difference. Finally, the population ITD functions for trough-type neurons (Fig. 6B) did not align as precisely as those for peak-type neurons (Fig. 6A).



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FIG. 6. The averaged interaural time difference (ITD) functions, i.e., the population ITD function, for peak-type (A) and trough-type (B) neurons further separated for enhanced (left) and suppressed (right) neurons. Top: discharge rate plotted as a function of ITD. Bottom: top normalized to maximal rate.

 

The lower discharge rate of the ITD functions to the unmodulated binaural beat in enhanced compared with suppressed neurons was also seen in the distribution of their peak discharge rate (Fig. 7). The median peak rate for enhanced neurons (Fig. 7, {blacksquare}: 41.2 spikes/s) was about half that for the suppressed neurons ({square}: 89.9 spikes/s). With modulation (not shown), the situation reversed with the enhanced neurons having a median peak rate (81.4 spikes/s) substantially greater than that for the suppressed units (52.0 spikes/s).



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FIG. 7. The distribution of peak firing rate to the unmodulated binaural beat separated for enhanced ({blacksquare}) and suppressed ({square}) neurons.

 

Another effect of modulation was to change the frequency range of ITD sensitivity. The ITD frequency range could often be expanded or compressed compared with the unmodulated condition. Figure 8 illustrates these changes and plots the locked discharge rate (synchrony to the binaural beat multiplied by firing rate) versus frequency. A neuron for which the range was expanded (Fig. 8A) displayed ITD sensitivity only at 500 and 700 Hz for the unmodulated condition. With the addition of 25 Hz SAM, the upper range of ITD sensitivity expanded to 1,500 Hz. In contrast, a neuron (Fig. 8B) that showed ITD sensitivity from 500 to 1,500 Hz in the unmodulated condition had a compressed frequency range between 900 and 1,100 Hz for modulation. Finally, we provide an example of a neuron that did not change its range of ITD sensitivity under modulation (Fig. 8C).



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FIG. 8. Three examples of the effect of modulation on a neuron's frequency range for interaural time difference sensitivity. The response is plotted as the product of synchrony and discharge rate. Depicted are neurons that expanded (A), compressed (B), or did not change (C) their frequency range under modulation. {square}, and {circ} indicate nonsignificant synchronization.

 

For a majority of the units for which the ITD-sensitive frequency range was tested (n = 165), the range was either expanded (35%) or compressed (40%) and only 25% remained unchanged (Fig. 9A). The expansion or compression of the ITD frequency range was related to whether a neuron's rate was enhanced or suppressed. With modulation, neurons that showed an enhanced response tended to have their frequency range expanded, while suppressed neurons tended to have their frequency range compressed. For enhancers, the overall expansion was 65% and for suppressors, the overall compression was 57% (Fig. 9B). A smaller number of enhanced and suppressed neurons showed the opposite effect, i.e., compression and expansion, respectively. The magnitude of this compression for enhanced units and expansion for suppressed units was small: 35 and 27%, respectively.



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FIG. 9. A: distribution of the percent of enhanced and suppressed neurons subdivided into those that expanded, compressed, or did not change the frequency range of their interaural time difference sensitivity. B: mean percent change in expansion and compression for enhanced and suppressed neurons.

 

Effect of AM on ITD coding and ITD tuning width

While modulation could induce large changes in firing rate, its effect on a neuron's ITD coding and tuning width was small. To examine changes in ITD coding, we measured the peak ITD of peak-type and the trough ITD of trough-type neurons. In all cases, the measures made under modulation were subtracted from those made without modulation. Figure 10A shows the distribution of the shifts of the peak or trough ITD. The distribution is centered near zero with 68% of the peaks/troughs shifting <100 µs, either way (mean = 30 µs). The distributions for the enhanced and suppressed types were not different when considered alone.



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FIG. 10. Distributions of changes in ITD for peak- and trough-type neurons. A: shifts in the peak ITD of peak-type neurons ({blacksquare}) and in the trough ITD of trough-type neurons ({square}) when modulation was added. A negative shift is a shift of the modulated response in the direction of delays at or toward the contralateral ear. One outlier was removed from the distribution of trough-type neurons. B: distribution of the change in the width of the ITD function measured at 50% of the maximum discharge rate. Negative percentages indicate an increase of width with modulation. Two outliers were removed from the distribution of trough-type neurons.

 

To measure changes in ITD tuning width, we measured the width of the peak or trough at 50% between the maximum and minimum of each neuron's composite ITD curve with and without modulation. The width estimated from the modulated composite curve was subtracted from that made from the unmodulated composite curve. Negative width changes indicate wider curves under the modulated stimulus condition. The distribution of the change in the width of the ITD tuning curve, separated for peak- and trough-type neurons, is illustrated in Fig. 10B. Similar to the change in ITD distribution (Fig. 10A), 63% of the units showed <100 µs width change either way. The mean width change for peak-type units was 19 µs and for the trough of the trough-type neurons –62 µs.

While individual neurons may show large changes under modulation in the ITD of the peak or trough and/or the width of their ITD functions (Fig. 10), these changes were not apparent in the population ITD functions. Figure 11 plots the population ITD function for all neurons (Fig. 11A) and for peak-type (Fig. 11B) and trough-type (Fig. 11C) units considered separately. The population function based on all neurons (i.e., peak- and trough-type, suppressed and enhanced) indicates that the overall effect of modulation is to increase discharge rate, especially in the region of the peak ITD (Fig. 11A, left). Thus one effect of modulation was to increase the signal-to-noise ratio of the ITD function. The coding of ITD remains relatively intact under modulation since the peak ITD remains unchanged (Fig. 11A, right) and the peak width is only slightly narrower (Fig. 11A, right). A Kolmogorov-Smirnov (K-S) Z test of the cumulative distributions revealed no significant difference (Z = 0.92, P = 0.37) between the modulated and unmodulated population ITD functions.



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FIG. 11. The population interaural time difference functions plotted for all neurons (A), peak-type neurons (B), and trough-type neurons (C). Left: discharge rate plotted as a function of ITD. Right: left normalized to maximal rate.

 

The population ITD function of peak-type neurons (Fig. 11B) mirrored that of the whole population (Fig. 11A). Under modulation, the increase in discharge rate occurred mostly in the peak ITD region (Fig. 11B, left), while the peak ITD and peak width remained unchanged (Fig. 11B, right). The population ITD function of trough-type neurons (Fig. 11C) differed from that of peak-type neurons in several ways. First, in contrast to peak-type neurons, the peak discharge rate did not change appreciably under modulation (Fig. 11C, left). This indicates that the enhancing and suppressing effects of modulation compensate each other. However, modulation selectively increased the discharge rate in the trough region. In contrast to peak-type neurons, this increase has the effect of decreasing the signal-to-noise ratio in the ITD function. The trough ITD did not change appreciably under modulation, but the trough width became narrower. For both the peak- and trough-type neurons, a K-S Z test showed that the distributions were not significantly different for the two conditions (peak-type: Z = 1.1, P = 0.22; trough-type: Z = 0.56, P = 0.91).


    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
We have shown that almost all neurons sensitive to ITDs synchronize to the modulation envelope. AM can enhance, suppress, or have a minimal effect on the discharge rate of ITD responses. A third effect of modulation was to expand the ITD frequency range of enhanced neurons and compress this range for the suppressed neurons. We also found that, whether viewed neuron by neuron or as a population, the overall effect of modulation on ITD coding and ITD tuning width was negligible. Finally, whether collapsing across enhanced and suppressed neurons or collapsing across peak- and trough-type neurons, modulation increased the overall discharge rate. We will discuss each of these effects of modulation in turn.

Coding of envelopes

Although neurons could follow modulations as high as ~400 Hz, synchrony declined with modulation frequency (Fig. 2A). Our choice of ~25-Hz modulation frequency is within the passband of reported MTFs for monaural (Krishna and Semple 2000Go; Rees and Møller 1983Go) and binaural stimulation (Batra et al. 1989Go). Consistent with these previous reports, almost all of our neurons synchronized to this low modulation frequency. However, previous studies focused on envelope coding of high-frequency neurons or on sensitivity to ITDs in envelopes. In contrast, the present study focused on envelope coding in neurons sensitive to ITDs in low-frequency carriers. Our results indicate that envelope coding need not be separately processed from ITD coding of the fine structure. This is not unexpected given the properties of the inputs to the IC. Peak- and trough-type sensitivity to low-frequency ITDs is first created in the medial and lateral superior olivary nuclei (MSO and LSO), respectively. The inputs to these nuclei derive from bushy cells that can synchronize to low frequency tones and to modulation envelopes (Joris and Yin 1998Go). Because the MSO and LSO project to the IC, it is not surprising that IC neurons display concurrent ITD and envelope sensitivity.

Effects of modulation on ITD coding

DISCHARGE RATE. When we divided our peak-type population into those that enhanced or suppressed their response to modulation, an unexpected property emerged: suppressed neurons had a markedly higher discharge rate to the unmodulated stimulus than enhanced neurons (Fig. 6). However, when the stimulus was modulated, this difference in discharge rate of enhanced and suppressed neurons was diminished. Because under natural conditions most sounds are amplitude modulated, this diminished difference has the net effect of making the ITD processing of these two classes of neurons more uniform.

Like the peak-type neurons, suppressed trough-type neurons had a higher discharge rate than enhanced neurons to the unmodulated stimulus. However, this difference was much smaller than in peak-type neurons. Thus for trough-type neurons the addition of modulation does not diminish the rate disparity between enhanced and suppressed neurons. Also unlike the peak-type neurons, the ITD function flattens under modulation for both enhanced and suppressed neurons. The functional effect of this finding is questionable since the peak ITD of trough-type neurons is almost always outside the estimated physiological range of the rabbit (approximately ±300 µs). If a plausible function for trough-type neurons is to code properties of spaciousness (Fitzpatrick et al. 2000Go), then this function would be unaffected because the peaks are relatively unaffected.

FREQUENCY RANGE OF ITD SENSITIVITY. Another feature of enhanced neurons was that they expanded their ITD frequency range, whereas suppressed neurons compressed their frequency range under modulation (Fig. 9). This is expected because increasing the discharge rate should have the effect of recruiting frequencies at the borders of ITD sensitivity, i.e., expansion, and conversely, decreasing the discharge rate should have the opposite effect, i.e., compression. Specifically, at the edges synchrony to the binaural beat is low and an increase in firing rate in this region would move the response toward statistically significant ITD-sensitivity (see METHODS). It is important to note that these changes are specific to the ITD frequency range that we measured and do not simply reflect an overall increase or decrease in spike rate. It was commonly observed that the neural discharge increased over a much larger range than the range of ITD sensitivity.

The function of the changes in ITD frequency range with modulation is unclear. The enhanced neurons could be viewed as generalists because they would respond to spectrally complex sounds and suppressed neurons could be viewed as specialists because they respond to more spectrally restricted sounds. Because in both cases, the neurons show a robust code for ITD, the change in frequency range is therefore related more to stimulus identification than localization. Cells specific to stimulus features and those that integrate across stimulus features are ubiquitous to all sensory systems. An unexpected result was the finding that many enhanced neurons had a compressed ITD frequency range under modulation. This often occurred when the modulation increased firing rate and created a flattened ITD function. On the other hand, the explanation is unclear for the small number of suppressed neurons that expanded their ITD frequency range under modulation. The magnitude of this expansion was small (27%) and may reflect, in part, physiological variability.

Effects of modulation on ITD coding and ITD tuning width

Some neurons showed large shifts in peak/trough ITD and peak/trough width with modulation (Fig. 10). These changes may, in part, be due to difficulties in estimating these parameters when the response rate is low or the response is highly synchronized to the envelope. For example, in enhanced neurons, the discharge rate could be low to the unmodulated signal. In such cases, estimating the peak/trough ITD and width may be less reliable than for the condition that elicits the higher rate. This explanation is consistent with the observation that the shifts could occur in either direction and the distribution did not change if the data were parceled into enhanced and suppressed neurons. Furthermore, the mean changes in peak/trough ITD and width were small for both peak- and trough-type neurons.

When the ITD functions were viewed as a population, for peak-type, trough-type or both types together, the changes in peak width (peak-type, peak- and trough-type) or trough width (trough-type) were negligible under modulation (Fig. 11). Similarly, for peak ITD, the changes under modulation were also negligible for peak-type and both types combined. However, the trough ITD changed by ~100 µs under modulation, but because of the smaller proportion of trough-type units, this change had little if any effect when all neurons were considered.

In summary, the negligible changes in peak/trough ITD and width suggest that modulation, which commonly occurs in natural sounds, does not change the ITD coding of IC neurons. In a sense, this is expected because we did not vary the ITD of the envelope. It could be argued that in natural sounds, the fine structure as well as the envelope is delayed. However, it has been shown with human listeners that delaying the envelope in low-frequency sounds has negligible effects on ITD discrimination or lateralization (Henning 1980Go; Schiano et al. 1986Go). However, it should be noted that although ITD coding remains relatively unchanged, the neuron is able to simultaneously encode the temporal features of the modulation.

Effects of modulation on ITD coding: population output

Whether we consider all neurons or focus on peak-type neurons (which are usually tuned to small ITDs within the physiological range), the peak discharge rate is increased under modulation. This occurred despite the fact that, in our experiments, the modulated stimulus contained less energy. Although the functional import of this increased response is not clear, one possibility is that it may be related to the percept created by ITDs. In tones, ITDs create a diffuse intracranial image. When the bandwidth of the sound is increased, the image becomes more compact. This compact image is so salient compared with that produced by a tone that this stimulus is commonly used in psychophysical studies exploring the lateralization of ITDs (Bernstein and Trahiotis 1985Go). Even though the image is more compact, for a given ITD, both tones and narrowband noise signals are lateralized to the same intracranial position. This is consistent with our observation that the ITD functions to unmodulated and modulated signals were similar in shape and peak position.

The present paper has described the responses of IC neurons to unmodulated and modulated signals and possible functional significance. In the companion paper (D'Angelo et al. 2003Go), we will investigate the neural mechanisms that underlie the creation of enhanced and suppressed responses under the modulated condition.


    DISCLOSURES
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
This study was sponsored by National Institute on Deafness and Other Communications Disorders Grants R01 DC-02178-18 and T32 DC-00025.


    ACKNOWLEDGMENTS
 TOP
 ABSTRACT
 INTRODUCTION
 METHODS
 RESULTS
 DISCUSSION
 DISCLOSURES
 ACKNOWLEDGMENTS
 REFERENCES
 
The authors thank J. Trettel, who participated in the early phase of this study.


    FOOTNOTES
 
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Address for reprint requests and other correspondence: S. Kuwada, Dept. of Neuroscience, University of Connecticut Health Center, 263 Farmington Ave., Farmington, CT 06030 (E-mail: shig{at}neuron.uchc.edu).


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 ACKNOWLEDGMENTS
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W. R. D'Angelo, S. J. Sterbing, E.-M. Ostapoff, and S. Kuwada
Effects of Amplitude Modulation on the Coding of Interaural Time Differences of Low-Frequency Sounds in the Inferior Colliculus. II. Neural Mechanisms
J Neurophysiol, November 1, 2003; 90(5): 2827 - 2836.
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