Abstract
Previous investigations have shown that a subset of inferior colliculus neurons, which have been designated type O units, respond selectively to isolated features of the cat’s head-related transfer functions (HRTFs: the directional transformation of a free-field sound as it propagates from the head to the eardrum). Based on those results, it was hypothesized that type O units would show enhanced spatial tuning in a virtual sound field that conveyed the full complement of HRTF-based localization cues. As anticipated, a number of neurons produced representations of virtual sound source locations that were spatially tuned, level tolerant, and effective under monaural conditions. Preferred locations were associated with spectral cues that complemented the highly individualized broadband inhibitory patterns of tuned neurons. That is, higher response magnitudes were achieved when spectral peaks coincided with excitatory influences at best frequency (BF: the most sensitive frequency) and spectral notches fell within flanking inhibitory regions. The directionally dependent modulation of narrowband ON-BF excitation by broadband OFF-BF inhibition was not a unique property of type O units.
Keywords: head-related transfer function, spatial tuning, spectral integration, level tolerance, monaural hearing
1. Introduction
The neural representation of sensory information undergoes a series of fundamental transformations as it ascends the central nervous system (Eggermont, 2001; Somjen, 1967). At the early stages of auditory processing, populations of neurons in the auditory nerve and ventral cochlear nucleus encode elemental properties of sound such as the amplitude or timing of frequency components (Kiang, 1980; Kim and Molnar, 1979; Sachs and Young, 1979; Young and Sachs, 1979). This initial Fourier-like analysis is largely linear and a great deal may be learned about the information content of the neural response by parametric manipulations of simple auditory stimuli (Le Prell et al., 1996; May and Huang, 1997; Sachs and Young, 1980).
When the distributed representation of the sound’s physical characteristics reaches higher levels of processing, unique patterns of convergence establish neural receptive fields that are tuned to discrete acoustic features (Bullock, 1986; Kolomiets et al., 2001; Majorossy and Kiss, 1994; Oliver, 1987). For example, bilateral projections from the ventral cochlear nuclei merge in the superior olive to endow local neurons with a sensitivity for interaural level or time disparities (ILDs and ITDs)(Glendenning et al., 1985; Oliver et al., 2003; Tsuchitani, 1988). These binaural pathways are critical for the accurate localization of sound sources in the horizontal plane (Casseday and Neff, 1975; Furst et al., 2000; Neff, 1977).
Parallel pathways linking the dorsal cochlear nuclei and inferior colliculus play an equally important role in vertical localization in cats (Davis et al., 2003; May, 2000; Sutherland et al., 1998). The elevation of a sound source is conveyed by monaural spectral cues that are superimposed on complex sounds by directional filtering properties of the head and outer ear (Butler and Belendiuk, 1977; Hebrank and Wright, 1974; Middlebrooks and Green, 1991). Figure 1 summarizes the general acoustic features of the domestic cat’s head-related transfer functions (HRTFs) (Phillips et al., 1982; Rice et al., 1992; Xu and Middlebrooks, 2000). The measures were made by implanting a probe tube microphone in the ear canal and recording the spectrum that propagated to the tympanic membrane from fixed locations in the frontal field. A relative gain of 0 dB indicates no change between the remote spectrum and sound levels in the ear canal.
The HRTFs in Figure 1A show how spectral energy in the ear canal is altered when the source of a broadband sound moves in the median vertical and interaural horizontal planes. A prominent feature of the HRTFs is a spectral notch at frequencies between 8 to 16 kHz. Localization deficits are observed if these directional cues are removed from broadband sounds (Huang and May, 1996a; Huang and May, 1996b; Middlebrooks and Green, 1991).
As originally noted by Rice et al. (1992), general properties of the cat’s HRTF suggest three domains of localization cues. These directional characteristics are revealed by superimposing a large collection of HRTFs in Figure 1B. The measures represent a sampling grid that stretches across azimuths of ±75 degrees and elevations of −30 to +90 degrees. Frequencies below 5 kHz display a broad resonance that varies in level with sound source azimuth. This azimuth dependence is only seen for the lateralized sound source in Figure 1A (dashed line) because it is created by the sound shadow of the head at locations outside the median plane. Frequencies between 5 and 20 kHz exhibit directionally dependent notches that are systematically related to the elevation and azimuth of the sound source. These mid-frequency localization cues are a dominant feature of the HRTFs in Figure 1A. Frequencies above 20 kHz reveal complex patterns of peaks and notches that are communicated with low relative gains. The high-frequency spectrum does not support accurate localization when presented in isolation (Huang and May, 1996a; Huang and May, 1996b).
Unlike the auditory nerve and ventral cochlear nucleus, the spectral integration properties of the dorsal cochlear nucleus (DCN) and inferior colliculus are highly nonlinear (Nelken et al., 1997; Young et al., 2005; Yu and Young, 2000). This complexity makes it impossible to extrapolate the neural representations of HRTF-based spectral features from responses to narrowband tones or unshaped noise. More sophisticated analyses have attempted to define the neural tuning of auditory neurons with reverse correlation (Carney and Friedman, 1998; Eggermont et al., 1983a), spectral temporal receptive fields (Aertsen and Johannesma, 1981; Eggermont et al., 1983b; Kim and Young, 1994), and weighting function models (Young et al., 2005). In particular, estimates of spectral weights based on responses to random spectral shapes (RSS) have proven useful in defining the receptive field properties of DCN neurons (Kim and Young, 1994; Reiss et al., 2007; Yu and Young, 2000). The predictive power of these models is improved by incorporating higher-order weights that describe the interactions between frequency terms. Despite these enhancements, weighting models fail to predict the coding properties of nonlinear neurons in the spectral processing pathway with consistent accuracy. A potential limitation of any parametric approach to sensory coding is the need to sample an adequate range of deterministic stimulus conditions. The present study avoided the pitfalls of parameter estimation by measuring the responses of inferior colliculus neurons to naturally occurring HRTF spectra.
Results from our previous studies (Davis et al., 1999; Ramachandran et al., 1999) suggest that single-unit responses in the inferior colliculus of decerebrate cats can be classified according to the frequency distribution of their inhibitory inputs, which are revealed by frequency response maps (FRMs: 3-dimensional plots of tone-driven activity in coordinates of frequency and level). In particular, type O responses show highly nonlinear spectral integration properties that enhance their ability to encode sharp spectral features (Davis, 2005; Davis et al., 2003). Based on those observations, it was hypothesized that type O neurons would provide the most sensitive representation of HRTF-based localization cues. As predicted, our tests of that hypothesis revealed neurons with receptive fields that matched spatially tuned HRTF shapes. This spectral selectivity persisted across a wide range of sound levels and under monaural testing conditions. The patterns of bandband inhibition that direct these localization processes were not a unique property of type O neurons. Consequently, the following descriptions relate our findings to a number of alternative classification systems that have been applied to the inferior colliculus.
2. Methods
2.1. Subjects
Single-unit responses were recorded in the inferior colliculus of 16 adult male cats (3 – 4 kg). The cats were procured from Liberty Labs (Liberty Corners, NJ) and housed in institutional facilities for approximately one week. Prior to experimentation, otoscopic examinations confirmed that all subjects had clean external ears and clear tympanic membranes. The cats participated in acute recording sessions that were terminated by barbiturate overdose (sodium pentobarbital, 100 mg/kg i.v.) after approximately 24 hours. All procedures were performed under the guidelines of the Institutional Animal Care and Use Committee of Johns Hopkins University.
2.2. Surgical procedures
Surgical procedures for single-unit recording in the inferior colliculus of decerebrate cats are routine in our laboratory and have been described in detail in previous publications (Davis et al., 1999; Ramachandran et al., 1999). Prior to recording, the animal was anesthetized with xylazine (0.1 mg, i.m.) and ketamine (initial dose 40 mg/kg, i.m.; supplemental doses 15 mg/kg, i.v.). The skull over the left parietal cortex was opened and a transverse section of brainstem was aspirated between the superior colliculus and thalamus to eliminate motor control and pain reception from the cerebral cortex (Flecknell and Silverman, 2000). Anesthesia was discontinued at the conclusion of decerebration.
Preparation for single-unit recording included catheterization of the cephalic vein to allow intravenous injections of anesthetic agents that were required by initial surgical procedures. A tracheotomy was performed to facilitate quiet breathing. The tympanic bullae were ventilated to equalize middle ear pressure. The head was secured in a stereotaxic apparatus by inserting hollow ear bars into both ear canals, which were transected near the ear drum. The ear bars served as specula for delivering acoustic stimuli in closed field. The left inferior colliculus was exposed by aspirating occipital cortex and partial removal of the overlying tentorium.
2.3. Recording procedures
Platinum-iridium microelectrodes were advanced through the inferior colliculus with a hydraulic micromanipulator. The electrode signal was amplified (10,000–30,000×) and low-pass filtered at 5 kHz. A Schmitt trigger was used to record the timing of action potentials that were well isolated from background activity. The BF and threshold of auditory units were determined by manually sweeping the frequency and level of tone bursts in the contralateral ear. Rate-level functions for BF tones and noise bursts were collected to characterize the dynamic range of rate representations under narrowband and broadband conditions.
Results are initially presented using the type I – V response classes of Evans and Nelson (Evans and Nelson, 1973). They are later related to our own type V/I/O classification system (Davis et al., 1999; Ramachandran et al., 1999). Although the type I – V nomenclature was originally defined in the context of frequency response maps (FRMs), these designations have been extended to refer to the degree of non-monotonicity for pure-tone rate-level functions under monaural conditions (Young et al., 1988). Because rate-level functions also may be obtained with complex binaural sounds, these descriptions are a useful metric for investigating the effects of stimulus bandwidth and binaurality on HRTF-based discharge rates. Details of the type V/I/O nomenclatures, and how these classifications relate to the type I – V system, are presented later. In essence, type IV and V responses are associated with the type O neurons upon which our hypothesis is based.
Type I and III units show exclusively excitatory responses at BF. The rate-level functions of type I units are monotonic, while type III units are non-monotonic. Type IV and V units are inhibited at high BF levels. Type IV units are excited at low BF levels, while type V units are exclusively inhibited. The latter classification is rarely encountered in the inferior colliculus. Type II units lack spontaneous activity and do not respond to noise. This unit type is associated with inhibitory interneurons found in the DCN (Young and Voigt, 1982). It is not observed in the inferior colliculus.
Descriptions of group classifications combine type I and III neurons (type III/I) and type IV and V units (type IV/V) to distinguish the strength of ON-BF inhibition and putative sources of input. The less inhibited type III/I response patterns in the inferior colliculus are assumed to arise from ascending projections from the ventral cochlear nucleus, while the more inhibited type IV/V responses have been linked to the dorsal cochlear nucleus (Young et al., 1988).
Spectral selectivity was assessed by presenting 99 HRTF-shaped noise bursts at multiple presentation levels, and under binaural and monaural conditions. Spatial tuning was evaluated by plotting discharge rates in coordinates that reflected the free-field locations of the HRTFs. Non-directional components of the neural responses were removed from each test result by subtracting the average rate for all 99 HRTFs from responses to individual stimuli. The distribution of ‘directional rates’ identified preferred locations without changing relative response magnitudes. A similar analysis has been used to describe directional acoustic properties of the HRTF (Middlebrooks, 1992; Middlebrooks and Green, 1990).
2.4. Acoustic stimuli
HRTF-shaped noise bursts were 330 ms in duration with 10 ms rise/fall times and a 1-s repetition period. The directional properties of the cat’s outer ear were previously recorded by surgically implanting a probe microphone near the ear drum of anesthetized cats and recording the sound energy that propagated to the ear canal from fixed locations in the frontal sound field (Rice et al., 1992). The 99 HRTFs represented a region of space from −60 to 60° azimuth (increments of 15°) and −30 to 45° elevation (increments of 7.5°). Gaussian noise was filtered through the HRTF spectra and digitally recorded at a 100-kHz sampling rate. Virtual space (VS) was simulated by simultaneous playback of paired HRTF stimuli. For example, a sound localization of 45° azimuth (AZ), 0° elevation (EL) was produced by presenting the 45° AZ, 0° EL HRTF to the right (contralateral) ear and the −45° AZ, 0° EL HRTF to the left (ipsilateral) ear. In addition to monaural spectral cues, the VS stimuli also conveyed veridical interaural level differences (ILDs) and interaural time differences (ITDs).
The frequency response of the closed-field sound system was measured at the beginning of each experiment by inserting a probe tube microphone into calibration bores on the ear bars. Once positioned, the tip of the probe tube was approximately 3 mm from the eardrum. Microphone voltages were measured with a lock-in amplifier while sweeping tones across frequencies from 0.04 to 40 kHz. Voltages were converted to dB SPL based on microphone sensitivity. These calibrations varied less than ±5 dB across the range of unit BFs in the current study.
3. Results
Physiological measures were performed on 231 neurons in the central nucleus of the inferior colliculus. Although BFs and thresholds of this sample spanned most of the audible frequency range of the domestic cat (0.3 – 39 kHz), electrode penetrations were intentionally biased toward regions of the central nucleus where BFs fell between 5 and 20 kHz (N = 144) because monaural spectral cues in this frequency range dictate the accuracy of directional hearing in the median plane (Huang and May, 1996a; Huang and May, 1996b). Rate-level classifications were completed with tones versus noise, or monaural versus binaural stimulation on 183 neurons. HRTF sensitivity was measured in 169 neurons.
3.1. Limitations of physiological classification systems
Inferior colliculus neurons have been classified by patterns of inhibition in rate-level functions and frequency response maps (Davis et al., 1999; Ramachandran et al., 1999). These measures are typically collected by presenting pure tones to the contralateral ear. The rate-level functions in Fig. 2 illustrate the effects of stimulus bandwidth and presentation mode on the inhibitory patterns of two common response types. The type I unit showed a strong monotonic excitation for monaural tones but was largely inhibited by binaural noise. Conversely, the type IV neuron was inhibited by tones but strongly driven by noise. This dissociation of response relationships for narrowband versus broadband stimuli is a well known property of the highly nonlinear integration properties of central auditory neurons (Escabi and Schreiner, 2002; Mayer-Kress, 1998; Young et al., 2005). This nonlinearity severely limits that ability of a pure-tone classification system to predict tuning in the context of sound localization where bandwidth, binaurality, and spectral shape are defining characteristics of natural stimuli.
The lack of correlation across bandwidth and presentation mode is evident for the contralateral tone versus binaural responses of a broad sampling of physiologically classified units in the lower panels of Fig. 2. Responses are compared at a fixed 50-dB attenuation, which has been selected to emphasize the non-linearity of spectral integration at levels within the dynamic range of most neurons in the sample. Neurons with type III/I designations were strictly excited by contralateral BF tones. The majority of the units showed similar discharge rates when tested with binaural tones (unfilled symbols near the unity line in the scatterplot). The effects of presentation mode were not statistically significant (paired sign test, P > 0.05). The binaural noise responses of type I and III units were poorly predicted by contralateral tone discharge rates (filled symbols). An approximately equal number of units showed higher and lower noise rates than tone rates; consequently, the combined effects of bandwidth and presentation mode failed to attain statistical significance. The effects of presentation mode on the tone-driven activity of type IV/V units also were not statistically significant. These units, however, showed significantly less inhibition when tested with binaural noise (P < 0.001).
3.2. Rate-level correlations
The bandwidth effects in Figure 2 suggest that the discharge rates of inferior colliculus neurons may be modulated by spectral energy that is remote to unit BF. Under normal free-field listening conditions, the spectral characteristics of broadband sounds are strongly shaped by directional properties of the HRTF. As a result, acoustic energy in the inhibitory or excitatory receptive field of an auditory neuron may be augmented or diminished depending on source location.
Figure 3A illustrates the effects of spectral shape on the discharge rates of a representative type III neuron. The unit’s driven rates for the 99 HRTF-shaped noise bursts are plotted in relation to ON-BF spectrum level (BF = 13.6 kHz). Replications at four attenuation settings are indicated by symbol type. Level variations within the same attenuation reflect the directional filtering effects in Figure 1. Driven rates were calculated by subtracting spontaneous activity in stimulus-off periods from discharge rates in stimulus-on periods. Positive rates mean the unit was excited by the stimulus; negative rates indicate inhibition. Rate variations at the same ON-BF level reflect the unit’s sensitivity to differences in OFF-BF energy.
Figure 3B extends the rate-level analysis to all IC neurons that were tested with binaural HRTF-shaped noise bursts (N = 160 units). A striking aspect of the scatterplot is the diversity of responses at the same ON-BF level. Although the lack of a systematic rate versus level relationship suggests poor spectral representation, the responses were highly reproducible across repetitions at the same presentation level and often showed the same relative magnitudes across presentation levels. ON-BF rate-level relationships inadequately describe the responses of certain inferior colliculus neurons because they are performing a broad bandwidth integration of the HRTF shape.
The spectral features that modulate HRTF-driven responses can be identified by correlating discharge rates to the acoustic variation at any frequency component of the complex stimulus. This process is introduced in Figure 4A, using the ON-BF rate-level functions from Figure 3A. The unit’s discharge rates have been sorted by the spectrum level at BF and presentation level. Piece-wise correlation coefficients (r) were obtained by applying multiple linear fits to continuous, overlapping segments of the rate-level functions. Each fit was applied to 33 contiguous points, starting with the lower limit of the first fit at the lowest ON-BF level and shifting by one point until the upper limit of the final fit reached the highest ON-BF level. Thus, a total of 67 fits were performed on each data set.
The strongest stimulus effect was defined by the highest absolute correlation coefficient among the 67 fits. Positive correlations indicate an excitatory relationship between spectrum level and discharge rates, while negative correlations reveal inhibition. In Figure 4A, the 33 data points with the highest correlation are indicated for each presentation level by their corresponding linear fits. The positive slope of the line segments indicates that the most powerful effect of ON-BF energy was excitatory.
Additional sets of correlation coefficients were obtained to determine the effects of additional spectral components on discharge rates. OFF-BF fits were calculated by shuffling the rates in Figure 4A according to the spectrum level in 100-Hz frequency bins that ranged from ±2 octaves relative to BF. Figure 4B plots the maximum absolute correlation coefficient for each bin at the three presentation levels. A prominent feature of these frequency maps is the expression of strong negative correlations that suggest the presence of lower and upper inhibitory sidebands (LIS and UIS).
A concern with the correlation method is the lack of independence between the frequency components of HRTFs. When a sound source changes in horizontal location, the effective attenuation of the head’s sound shadow is simultaneously altered across a wide frequency range. For example, in Figure 1, the lateralized HRTF at 75° AZ, 0° EL shows higher than average gains at all but a few frequency bins. These universal shifts generate large positive correlations between ON-BF and OFF-BF gains. Consequently, discharge rates correlated to changes in ON-BF spectral energy will also show indirect, purely stimulus-bound correlations at OFF-BF frequencies.
The stimulus-bound correlations between spectral components were quantified with the same linear fitting algorithm that was applied to HRTF rate-level functions. Each HRTF produced an ON-BF level and a comparison level for the OFF-BF frequency bin. The data were sorted by ON-BF level and linear fits were applied to overlapping segments of the resulting level-level functions. The maximum absolute stimulus-bound correlation for each frequency bin is shown in Figure 4B (red line).
Paradoxically, the illusion of broadband sensitivity is exacerbated by the narrow tuning of most neurons near threshold because responses are dictated by a single frequency component. In this example, notice how stimulus-bound correlations dominate those derived from spectral effects at the 60-dB attenuation. At higher presentation levels, the stimulus correlations are offset by OFF-BF inhibitory effects.
The surface plots in Figure 4C combine the correlation frequency maps across level to illustrate the dynamic range of the LIS and UIS. Positive correlations (excitatory rate-level relationships) are indicated in red. Negative correlations (inhibitory relationships) are indicated in blue. This unit exhibited ON-BF excitation at low presentation levels, but was largely influenced by OFF-BF inhibition at high levels.
The effects of inhibitory sidebands on the spatial tuning of the neuron are summarized in Figure 5. Figure 5A re-plots the unit’s discharge rates at 40-dB attenuation in spatial coordinates that refer to the original free-field location of the HRTF shapes. Maximum rates demarcate a well-defined spatial receptive field that falls in elevation as the VS stimulus ‘moves’ toward contralateral azimuths (bold line). This tuning is not predicted by the more diffuse directionality of highest ON-BF gain in Figure 5B (red area).
The spatial distribution of energy at the LIS and UIS is shown in Figures 5C and D. The tight coupling of maximum directional rates (bold line) to locations with low spectral energy (blue areas) suggests that the unit’s spatial tuning was derived by matching a subset HRTF templates to the frequency distribution of excitatory and inhibitory inputs. The unit was made responsive by ON-BF excitatory influences, but it was made directional by OFF-BF inhibition.
3.3. Spectral pattern matching
A post hoc analysis of the optimal spectral template for the representative unit is presented in Figure 6. The line segment in Figure 6A is fit to the 40-dB attenuation rate-level function. The segment indicates the 21 contiguous points with maximum rate variation. The 5 highest (lowest) rates within this constrained range of levels are indicated by filled symbols above (below) the line segment.
The similarities between the HRTFs that produced either high or low driven rates are striking. The five high-rate HRTFs in Figure 6B maximize energy within the unit’s excitatory ON-BF receptive field (vertical solid line) and minimize energy in the LIS and UIS (vertical dashed lines). Conversely, in Figure 6C, the five low-rate HRTFs share spectral notches at BF and energy peaks at the inhibitory sidebands. Thus, the two groups of spectral shapes display diametrically opposed energy distributions within the unit’s inhibitory bandwidth.
The unit’s optimal stimulus was estimated by computing the difference spectrum for the average shape of high versus low rate HRTFs. This template is shown in Figure 6D. The preferred distribution of spectral energy corresponds well with the excitatory and inhibitory features of the rate-level correlations that are shown in Figure 4.
3.4. Level tolerance of broadband inhibition
Neural mechanisms for spectral pattern matching must persist over a wide range of stimulus conditions to support natural sound localization. The effect of sound level on optimal spectral shapes was investigated by calculating continuous overlapping difference spectra across all of the ON-BF levels in Figure 6A. The surface plots in Figure 7 represent the 78 difference spectra at one of three presentation levels. Positive energy bands (red) reveal the sharp frequency tuning of the unit’s excitatory inputs. Negative energy bands (blue) highlight the broadly distributed areas of inhibition that dominated the receptive field at higher ON-BF levels. Frequencies of the LIS and UIS are indicated to emphasize the similarity of inhibitory tuning for correlation and difference measures. These basic patterns of local excitation and global inhibition changed little across presentation level.
The stability of inhibitory tuning across presentation level, as noted with two independent methods of analyses, predicts that HRTF selectivity should also persist across presentation level. Figure 6 compares the spatial receptive fields of the representative unit at attenuations from 60 to 20 dB. Spatial tuning is well defined at the 60-dB attenuation because responses were evoked only by HRTFs with sufficient ON-BF gain to surpass the unit’s threshold for excitation. More importantly, the unit’s selectivity increased at higher levels because broadband inhibition suppressed responses to ON-BF energy in sub-optimal spectral contexts.
A more complete statistical description of level tolerance is presented in the lower panels of Figure 8. Each histogram describes the effect of attenuation on best azimuth or elevation, which is defined as the location producing the maximum directional rate. For most neurons, a 20-dB change in presentation level altered spatial tuning by less than 30 degrees.
3.5. Monaural versus binaural processing
It may be inferred from the close correspondence between spectrum-based localization cues and directional rates that spatial tuning in the inferior colliculus is derived from monaural processing. This interpretation is partially supported by the effects of lesions on the brainstem’s monaural localization pathways (May, 2000; Sutherland et al., 1998). The importance of presentation mode was examined in the present study by collecting HRTF-driven rates with binaural versus monaural (contralateral) stimuli. Figure 9 shows the results of these measures for a representative type IV neuron (BF = 11.0 kHz). The unit’s preferred sound locations were virtually identical for binaural and monaural presentations.
The histograms in Figure 9 describe the statistical distribution of the effects of presentation mode. The stability of best azimuth and elevation under monaural conditions was most evident at low levels (middle panels). Effects on elevation tuning also were minor at high levels (lower panels). Large changes in azimuth tuning, however, confirmed the importance of binaural processing for localization in the horizontal plane.
4. Discussion
The major finding of the present study was the essential role that OFF-BF inhibition played in the spectral selectivity, and therefore the spatial tuning, of inferior colliculus neurons. When characterized with rate-level correlations or template matching procedures, these inhibitory influences tailored spatial receptive fields in a manner that was well tuned and tolerant of changes in level. In most instances, spectral selectivity did not change when neurons were tested with monaural versus binaural stimuli.
4.1. Importance of nonlinearity
A longstanding obstacle for theoretical interpretations of auditory coding is the ‘dynamic range problem’ (Viemeister, 1988). At the heart of this controversy is the apparent mismatch between the limited dynamic range of neural discharge rates and the exceptional range of human hearing. The issue has been vigorously pursued in the context of level coding (Costalupes et al., 1984; Palmer and Evans, 1982) or the representation of complex spectral shapes such as human speech (Delgutte and Kiang, 1984; Kiang, 1980; Sachs and Young, 1979; Sinex, 1993; Young and Sachs, 1979). The product of that research has led to the advocacy of coding mechanisms that are based on the ability of auditory neurons to fire in a time-locked manner to the fine structure or temporal envelope of the stimulus (Batra et al., 1989; Eggermont, 1991; Joris, 1996; Rhode and Greenberg, 1994; Rose et al., 1967).
Alternatively, statistical descriptions of discharge rates in the auditory nerve and cochlear nucleus suggest that the dynamic range of rate-level coding is more robust than previously assumed (Dean et al., 2005; Smith, 1988). For simple sounds, operating characteristics are enhanced by onset effects, a diversity of absolute thresholds, and sensitivity to stimulus context. For complex sounds, particularly those with shaped spectra, they are also influenced by two-tone suppression (Sachs and Kiang, 1968). This potent nonlinearity was once considered a detriment to rate representation (Sachs and Young, 1980), but it is now clear that suppression can preserve vowel coding at high levels (Le Prell et al., 1996). The dynamic range of the neural response is extended because auditory-nerve fibers exhibit high saturation rates at spectral peaks, where suppression is weak, and low saturation rates at spectral troughs, where suppression is strong. Unlike the generalized nonlinearities that give rise to suppression effects in the auditory periphery (Hall, 1977; Le Page and Johnstone, 1980), our present results indicate that central inhibitory mechanisms vary greatly in frequency, threshold, and complexity and thus have the capacity to tune neural representations to any acoustic feature that communicates biological information. Such a pattern recognition process has long been proposed for the auditory coding of HRTF stimuli (Irvine, 1986).
The HRTF-driven rates of a type IV neuron are presented in Figures 10 and 11 to illustrate how spatial tuning degrades in the absence of OFF-BF inhibition. Extreme rate variations at the same ON-BF level, a defining characteristic of broadband inhibition (Figure 3), are less evident on the neuron’s rate-level functions (Figure 10A). Instead, discharge rates show the strong non-monotonicities that characterize the narrowband ON-BF responses of type IV neurons (see Figure 2). Maximum correlations (indicated by line segments) shift from excitation near threshold to inhibition at higher levels. When linear fits are derived at surrounding frequencies (Figure 10B), an illusion of broad correlation is created because OFF-BF levels were linked to ON-BF levels by global directional properties of the HRTF (red line). Stimulus-bound correlations also are noted near the narrowly tuned excitation thresholds of wideband neurons (Figure 4C), but they pervade all frequencies and presentation levels of the receptive field producing a correlation map that is devoid of tuned responses (Figure 10C).
The spatial tuning and level tolerance characteristics of the narrowband type IV neuron are summarized in Figure 11. Directional gains at the unit’s BF favor the contralateral hemifield (Figure 11A). When the level of HRTF-shaped noise was near-threshold (Figure 11B), only a circumscribed area in this region of maximum gain delivered sufficient energy to elicit an excitatory response. This tuning was solely determined by energy at BF and it was very sensitive to changes in presentation level. A modest 20-dB increase drove contralateral responses into inhibition and shifted excitatory directional rates to the ipsilateral hemifield (Figure 11C). In cases where spectral tuning was narrow and rate-level functions were monotonic, spatial receptive fields expanded with increasing level eventually encompassing the entire sound field. Both outcomes provide an ambiguous representation of sound source location.
4.2. The spectral processing pathway
Our previous studies of the inferior colliculus (Davis et al., 1999; Ramachandran et al., 1999) have advanced a physiological classification system that is based on the inhibitory features of frequency response maps (FRMs). Type V units (pronounced as the English letter ‘v’) produce FRMs with a broad v-shaped excitatory area and no inhibition. Type I units (pronounced as the English letter ‘i’) have a narrowly tuned i-shaped excitatory area that is flanked by inhibition. Type O units (pronounced as the English letter ‘o’) show an o-shaped island of excitation at threshold but are inhibited by most other combinations of frequency and level.
Because they manifest common physiological properties of type IV projection neurons (Young et al., 1988), type O units are assumed to represent the inferior colliculus targets of monaural spectral representations ascending from the contralateral dorsal cochlear nucleus (DCN). In addition to sharing inhibitory FRMs, both neural populations are relatively insensitive to interaural level differences (Davis, 2005; Davis et al., 1999; but see Chase and Young, 2005) and interaural time differences (Ramachandran and May, 2002). They are silenced by blocking transmission in the output pathways of the DCN (Davis, 2002). By contrast, type V and I units display binaural responses that appear to reflect brainstem inputs from the medial and lateral superior olives (Chase and Young, 2005; Ramachandran and May, 2002).
The potential segregation of different forms of directional information within discrete neural populations has led to the conceptualization of a monaural sound localization pathway (Davis et al., 2003; May, 2007). The pathway is established by spectral processing non-linearities of the dorsal cochlear nucleus (Reiss et al., 2007; Young et al., 2005; Yu and Young, 2000) and then refined by the inhibitory properties of inferior colliculus type O units (Davis, 2002; Davis, 2005). The sensitivity of DCN projection neurons for directional properties of the HRTF has been simulated under closed-field conditions (Nelken et al., 1997; Reiss et al., 2007) and verified in free field (Imig et al., 2000).
Our present study was designed to extend functional validations of the hypothesized spectral pathway by confirming the predicted processing enhancements of type O units. Instead, our experimental results suggest that optimal representations of HRTF shapes are determined by broadband inhibitory interactions that are absent in many type O units (type IV/V units) and present in a high percentage of type I units (type III/I units). Figure 12 addresses this issue by comparing the excitatory/inhibitory features of the response types. Although our current classifications are based on rate-level functions, they capture ON-BF inhibitory patterns that are the essential defining properties of FRM classifications (Ramachandran et al., 1999). Type III/I and IV/V units in the present study (e.g.; Figures 4C and 10C) are unambiguously associated with type I and O designations, respectively.
The excitatory/inhibitory properties of inferior colliculus neurons are taken from maximum correlation functions that were derived from HRTF-driven responses. ON-BF excitation (OBE) is defined as a maximum ON-BF correlation that was greater than 0.5 at any presentation level. The type III unit in Figure 4A achieved this criterion at attenuations of 60 and 40 dB. The type IV unit in Figure 10A was similarly excited only at 60-dB attenuation. With few exceptions, inferior colliculus neurons are excited by BF tones near threshold. Nevertheless, OBE remains an informative response metric because excitation must meet the following conditions: it must be generated by HRTF stimuli, it must represent the maximum correlation for the ON-BF rate-level function, and it must be strongly excitatory. Almost all neurons (>83%) showed ON-BF excitation.
ON-BF inhibition (OBI) was defined as a negative ON-BF correlation of less than −0.5 at any presentation level. By convention, type III/I units are never inhibited by BF tones, so it is not surprising that the representative type III neuron failed to show OBI when tested with HRTF-shaped noise (Figure 4A). Type IV/V units are inhibited by supra-threshold tones. The representative type IV unit also exhibited OBI at higher HRTF levels (Figure 10A). These examples convey the impression that inhibitory relationships were consistent for narrowband tones and broadband HRTFs, but many inferior colliculus neurons displayed clear differences. The percentage of type IV/V units with OBI (45%) was only slightly higher than the percentage of type III/I units (29%). The units also showed less inhibition when tested with broadband noise (Figure 2).
Broadband inhibitory effects were most prevalent in type IV/V units (LIS = 58% and UIS = 65%). They were, however, frequently observed in type III/I units (LIS = 39% and UIS = 54%). Thus, there was a high probability for observing narrowband type IV/V units with broad spectral tuning for HRTF features (Figure 11) and broadband type III/I units with excellent selectivity (Figure 5). It is interesting that type III/I units tended to show less inhibition at frequencies below BF. These asymmetries are also evident in the inhibitory features of first-order weighting functions in the ventral cochlear nucleus (Yu and Young, 2000), which is further evidence for the assumed anatomical connections between the two neural populations.
The representation of localization cues by type V, I, and O units has been explored with an information theory approach (Chase and Young, 2005). This method isolates the quality of neural coding for ITD, ILD, and mid-frequency spectral notches by independently manipulating directional parameters under closed-field conditions. Rather than the segregation of localization cues by unit type, as predicted by Ramachandran et al. (1999), type I and O units were sensitive to all three acoustic variables and conveyed information that was of similar quality.
Despite similarities in the information content of type I and O responses, the results of Chase and Young (2005) support our observation that representations of HRTF spectra may be driven by different integration patterns. Their type I units exhibited narrowband behavior; that is, information was closely linked to the effects of the cue manipulation on spectrum levels at BF. The responses of their type O units were diverse. Some neurons mimicked the narrowband properties of type I units, while others produced discharge rates with no systematic relationship to the isolated parameter. In the context of information theory paradigms, these latter neurons may provide less information during parametric testing because they are not universally driven by the stimulus set. In the context of sound localization, however, HRTF-selective responses have the capacity to provide a spatially tuned and level tolerant representation of a preferred source location. It is clear from our results, and those of Chase and Young (2005), that the requisite broadband inhibitory interactions for these processes only loosely segregate within type O versus type I classifications.
Because our correlation measures examine the systematic relationships between discharge rates and HRTF spectra, they are most reliable at frequencies between 5 – 20 kHz where the acoustic differences between HRTFs can be related to the shape, depth, and frequency of a single prominent spectral notch. These differences are small in magnitude at frequencies below 5 kHz, and complex at frequencies about 20 kHz. Parametric information theoretic approaches, which are not constrained by natural patterns of variation, have shown that optimal representations of spectral notches are provided by IC neurons with higher BFs (Chase and Young, 2005; Young et al., 2005). These results suggest that the neurons may be physiologically tuned to extract spectral features where they are most likely to occur. This observation establishes the potential importance of individualized HRTFs in future studies of the spectral templates of IC neurons.
4.3. Sources of broadband inhibition
Type IV/V units were expected to show good selectivity for HRTF-shaped noise because they are known to receive inputs from DCN neurons with integration properties that are broadband (Nelken and Young, 1994; Spirou and Young, 1991) and non-linear (Nelken et al., 1997; Young et al., 2005; Yu and Young, 2000). A surprising observation was that a good percentage of type III/I units showed equivalent spectral selectivity. These results suggest that narrowband and linear inputs from the ventral cochlear nucleus (VCN) (May et al., 1998; Yu and Young, 2000) are altered by the convergence of broadband inhibitory sources at intermediate processing levels or within the inferior colliculus.
Quantitative immunocytochemical studies have confirmed the pervasive GABAergic innervation of the central nucleus of the inferior colliculus (Merchan et al., 2005). The effects of this inhibition on sound-driven activity have been evaluated in a number of species by delivering GABA to the recording site (Faingold et al., 1989) or blocking its action with bicuculline (Davis et al., 2003; LeBeau et al., 2001; Palombi and Caspary, 1996; Yang et al., 1992). Inhibitory blockade increases tone-driven activity and expands the excitatory receptive fields of neurons with non-V type FRMs (LeBeau et al., 2001; Yang et al., 1992). The majority of type O units are not affected by pharmacological manipulations, although a subpopulation of bicuculline sensitive type O units has been identified (Davis et al., 2003). These demonstrations suggest that broadband inhibition, a critical component of spectral representation in the inferior colliculus, is created remotely in the DCN, and locally by acting upon other ascending pathways.
The major sources of extrinsic inhibition have been determined by combining retrograde tracers with immunocytochemistry. Histological verification of double-labeled neurons reveals significant GABAergic input from the dorsal and ventral nuclei of the lateral lemniscus (Zhang et al., 1998) and the contralateral central nucleus via commissural connections (Gonzalez-Hernandez et al., 1996; Hernandez et al., 2006). The functional significance of these discrete sources of inhibition may be isolated by recording inferior colliculus activity during their reversible inactivation with kynurenic acid. Silencing any of these structures uncovers a mixture of excitatory and inhibitory inputs. Assuming the inactivation of a direct monosynaptic connection, the former is associated with decreases in the inferior colliculus, while the latter is indicated by rate increases.
Dense commissural projections from the opposite inferior colliculus modify the responsiveness of virtually all neurons in the central nucleus (Malmierca et al., 2005; Malmierca et al., 2003). Discharge rates elicited by monaural BF tones may either increase (48% of neurons) or decrease (35% of neurons). The effects are most pronounced within 15 dB of threshold. The discharge rates of binaurally sensitive neurons (7 out of 11 units) increase under ILD conditions without altering the slope of input-output relationships. These commissural influences appear to modulate the gain of the rate representation without improving directional sensitivity.
The OFF-BF inhibitory characteristics of commissural projections also have been investigated (Malmierca et al., 2003). Contraction or expansion of FRMs during application of kynurenic acid suggest a mixture of excitatory and inhibitory influences that are not segregated by unit type. Given the nonlinear spectral integration properties of the inferior colliculus, it is impossible to predict how these changes impact the representation of complex spectra. In lieu of the requisite HRTF measures, the strong bias of the influences of the pathway toward near-threshold excitation and ON-BF frequencies implies a limited role in the pattern recognition processes that are inferred by our observations.
The dorsal nucleus of the inferior colliculus (DNLL) is the principal source of bilateral GABAergic projections to the central nucleus (Adams and Mugnaini, 1984; Shneiderman et al., 1988). This inhibition has been most extensively examined in the context of binaural processing (Faingold et al., 1993; Li and Kelly, 1992). Pharmacological inactivation of the pathway reduces the ipsilateral inhibition of neurons with EI binaural sensitivity (i.e.; contralateral excitation, ipsilateral inhibition), which is an important component for the coding of ILD-based localization cues. Although ILD-sensitive neurons are first observed in the lateral superior olive (Tsuchitani, 1988), these higher-order inputs have the capacity to create EI responses de novo or to modify the balance and timing of existing inhibition. Such interactions may enhance echolocation, aid in the pursuit of moving sounds, or allow the listener to attend to multiple competing sources (Burger and Pollak, 2001).
The ipsilateral inhibition that defines EI neurons is a property of type I and O units in the inferior colliculus (Davis et al., 1999). Changes in the shape of these non-V-shaped FRMs are observed during temporary disruption of DNLL inputs (Thornton and Rees, 2001). As noted with direct application of bicuculline, sound-driven discharge rates increase and the bandwidth of excitatory receptive fields expand when kynurenic acid is injected into the ipsilateral DNLL. Inactivation of the contralateral DNLL usually produces expansion (release from inhibition) but contraction (loss of excitation) is also seen. The diversity of these effects suggests that DNLL influences are more complex than simple monosynaptic inhibition.
The major output pathway of the ventral nucleus of the lateral lemniscus (VNLL) is an inhibitory projection to the ipsilateral inferior colliculus (Adams, 1979). Although the majority of VNLL neurons are immunoreactive for glycine, this input source may also transmit GABAergic inhibition. Many of its glycinergic neurons appear to co-localize GABA (Saint Marie et al., 1997), while a small population of multipolar neurons appears to be strictly GABAergic (Winer et al., 1995).
In addition to having monaural output properties, the input properties of the VNLL are particularly interesting from the standpoint of monaural sound localization. The major source of ascending input to the VNLL is a direct projection from stellate cells in the contralateral cochlear nucleus (Cant, 1981). Chopper units, the physiological counterpart of stellate cells, exhibit high discharge rates and exceptional inter-spike regularity when responding to narrowband signals (Blackburn and Sachs, 1989) and thus are able to encode small perturbations of stimulus level with high resolution (Young et al., 1988). Although chopper units are narrowly tuned in frequency, the topography of their input to the VNLL suggests a discontinuous clustering of frequency bands that creates the opportunity for wideband cross-frequency integration (Malmierca et al., 1998). This circuitry been hypothesized to play a role in analyzing temporal acoustic features (Covey and Casseday, 1991) or recognizing temporal patterns in natural communication sounds (Oertel and Wickesberg, 2002). Our observations suggest that these properties also are ideal for pattern recognition in the spectral domain. To date, the effects of VNLL inactivation on spectral selectivity have not been measured. Given our previous findings in the DCN (May, 2000), it is intriguing to speculate that loss of these processes would impede the auditory processing of spectral cues for sound localization.
Acknowledgments
These findings were originally presented at the Satellite Meeting on The Auditory Brain – a Tribute to Dexter Irvine, IBRO 2007. The authors thank the organizers of that meeting and participants who have contributed to our current views of spectral integration in the inferior colliculus. We gratefully acknowledge Dexter Irvine’s lifetime of collegial support for students of the auditory neurosciences. This research was supported by NIDCD grant R01 DC00954.
Footnotes
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