Abstract
Topographic maps are salient features of neuronal organization in sensory systems. Inhibitory components of neuronal circuitry are often embedded within this organization, making them difficult to isolate experimentally. The auditory system provides opportunities to study the topographic organization of inhibitory long-range projection nuclei, such as the superior olivary nucleus (SON). We analyzed the topographic organization of response features of neurons in the SON of chickens. Quantitative methods were developed to assess and communicate this organization. These analyses led to three main conclusions: 1) sound frequency is linearly arranged from dorsal (low frequencies) to ventral (high frequencies) in SON; 2) this tonotopic organization is less precise than the organization of the excitatory nuclei in the chicken auditory brainstem; and 3) neurons with different response patterns to pure tone stimuli are interspersed throughout the SON and show similar tonotopic organizations. This work provides a predictive model to determine the optimal stimulus frequency for a neuron from its spatial location in the SON.
Indexing Terms: auditory, inhibitory, superior olivary nucleus, three-dimensional tonotopic organization
Topographic organization is a robust and salient feature of sensory and motor areas in the vertebrate brain. Anatomic and physiologic topography is thought to provide a neuronal substrate critical for processing sensory information. For example, location of a visual stimulus is encoded at the retina and then represented in “retinotopically” organized structures throughout the visual pathways. Similarly, in the auditory system, sound frequency encoded along the sensory epithelium gives rise to “tonotopic” maps throughout the central auditory pathways. Descriptions of maps provide information to understand how an external stimulus is represented and processed in the nervous system. Moreover, quantitative maps provide predictive tools to determine the optimal stimulus for a particular neuron based on its location in the tissue. Using this information investigators can 1) relate anatomical, biophysical, and pharmacological characteristics of a neuron to sensory processing based on stimulus selectivity (Smith and Rubel, 1979; Kuba et al., 2005); and 2) compare the precision of processing across sensory areas or across species.
Inhibitory components of many neuronal circuits comprise interneurons residing alongside principal neurons (Huang et al., 2007). Thus, independent evaluation of the organizing features of these circuit components is difficult. However, in the auditory brainstem, inhibitory neurons often reside in nuclei that project to one or more targets, thus providing opportunities to study sensory mapping in inhibitory long-range projection nuclei (Tsuchitani and Boudreau, 1966; Sanes and Friauf, 2000; Kim and Kandler, 2003). In the current study we use a quantitative strategy to describe the 3D tonotopic organization of the superior olivary nucleus (SON) in chicken. The avian SON comprises inhibitory neurons that provide long-range γ-aminobutyric acid (GABA)ergic and possibly glycinergic inhibition to other auditory nuclei in the brainstem (Yang et al., 1999; Kuo et al., 2009; Coleman et al., 2011). Inhibition from the SON expands the dynamic range and sharpens temporal coding of auditory neurons to enable sound localization (Burger et al., 2005; Nishino and Ohmori, 2009; Fukui et al., 2010).
The goal of the current study is to analyze the topographic organization of 1) sound frequency and 2) physiologically identified cell types. Specifically, is the tonotopic organization of the brainstem auditory pathway preserved in the SON? Past studies in the owl (Moiseff and Konishi, 1983) and chicken (Lachica et al., 1994; Tabor et al., 2011) have suggested that stimulus frequency may be systematically represented in the SON. Furthermore, the SON contains a heterogeneous mixture of response patterns to tone stimulation (Moiseff and Konishi, 1983; Tabor et al., 2011; Coleman et al., 2011). However, a detailed topographic map of these response features remains to be determined.
In addition to the physiological heterogeneity in SON, anatomical evidence suggests that the SON contains functionally distinct classes of neurons. Anatomically, multiple auditory pathways converge in the SON. One major input arises from the binaural coincidence detecting neurons in the nucleus laminaris (NL), whereas another arises from the ipsilateral nucleus angularis (NA) (Moiseff and Konishi, 1981, 1983; Takahashi et al., 1984). Also, distinct populations of SON neurons give rise to two projections, one to ipsilateral targets and the other to the contralateral SON and higher order centers (Conlee and Parks, 1986; Westerberg and Schwartz, 1995; Burger et al., 2005). Whether the physiologically distinct cell types correspond to the apparent functional classes of SON neurons revealed by anatomical projections remains unknown. Because SON neurons provide the majority of inhibition to all auditory nuclei in the dorsal brainstem (Lachica et al., 1994; Yang et al., 1999; Burger et al., 2005), it is important to understand how auditory information is processed in the SON.
By using in vivo single- and multiple-unit recordings we classified the characteristic frequency (CF), frequency selectivity, threshold, and response patterns of SON neurons. 3D reconstructions and quantitative analyses determined that CF is linearly mapped in the SON. This tonotopic organization is less precise than that of other auditory nuclei in the avian brainstem (Rubel and Parks, 1975). In addition, we found that SON neurons with onset and sustained response patterns are interspersed throughout the entire structure of the SON, and that both types show similar tonotopic organizations. These results suggest that both phasic and tonic SON responses are generated for all sound frequencies processed in the chicken auditory system. The quantitative 3D tonotopic map of the SON provides a powerful tool for future studies of neuronal circuitry in this system. These analytical methods will be broadly applicable to other sensory and motor system circuitry.
Materials and Methods
Experiments were conducted on white leghorn chicken hatchlings (Gallus gallus domesticus) 7–15 days old. All procedures were carried out in accordance with the National Institutes of Health Guide for the Care and Use of Laboratory Animals and approved by the Lehigh University Institutional Animal Care and Use Committee. All efforts were made to minimize pain and discomfort of the animals used and to minimize the animal number. Detailed experimental methods were reported previously (Coleman et al., 2011).
Surgery
Chickens (54–157 g) were anesthetized with an intramuscular injection of ketamine (80 mg/kg; Ketaset, Fort Dodge Animal Health, Fort Dodge, IA), an intraperitoneal injection of pentobarbital (80 mg/kg; Sigma-Aldrich, St. Louis, MO), and an intramuscular injection of urethane (4, 0.625 g/kg doses separated by 20–30 minutes; Sigma-Aldrich). Additional urethane (0.625 g/kg) was injected in some cases to maintain the level of anesthesia. The bird's body temperature was maintained at 40°C throughout all procedures by using a heating pad. A tracheotomy was performed to facilitate breathing during the experiment. The head was fixed to a stereotaxic stage and a brass rod was fastened to the top of the cranium with dental cement. After the cement cured, the animal was transferred to a customized stereotaxic apparatus inside a sound attenuation booth. The skin covering the skull was removed, and the skull was opened to expose the cerebellum. A slit was made in the dura mater for electrode penetration. Care was taken not to injure the large venous sinus.
Sound presentation and data acquisition
Freely available software (Spike; Brandon Warren, University of Washington) controlled acoustic stimuli generation and data acquisition. Sound stimuli were output through an HB7 Headphone Driver (Tucker-Davis Technologies, Alachua, FL) to an Eartone 3A Insert earphone coupled to the ipsilateral ear with a tube insulated with acoustic foam (Etymotic Research, Elk Grove Village, IL). The sound pressure level (SPL) was calibrated using a ¼” free-field microphone (model 2520; Larson-Davis, Provo, UT) and microphone preamp (model 221; Larson-Davis). The maximum sound intensity was 90 dB SPL, and the sound frequency range was 50–6,000 Hz. Tone duration was 20 or 40 ms with a 5-ms rise and fall time for a triangle-shaped envelope.
In vivo recording
Tungsten recording electrodes (5–8 MΩ; no. 575300, AM Systems, Sequim WA) were inserted 2.1–2.3 mm lateral and 0.0–0.5 mm rostral to the venous sinus. SON neuronal units were located by presenting a white-noise stimulus (65–70 dB SPL, 50-ms duration, 3 pulses/s) to the ipsilateral ear while advancing the electrode using a remotely driven actuator (MC1000e-1 Controller; Siskiyou Design Instruments, Grants Pass, OR). Neuronal action potentials were bandpass-filtered between 300 Hz and 3 kHz (model 3362 filter; Krohn-Hite, Brockton, MA) and amplified with a Neuroprobe Amplifier Model 1600 (A-M Systems, Carlsborg, WA). Both analog voltage traces and action potential event times were simultaneously recorded. Analog traces were collected with 12-bit resolution at 50-kHz sampling frequency. Action potential event times were recorded by using a voltage window discriminator (model 121; World Precision Instruments, Sarasota, FL). Both signals were processed by an RX6 Multifunction Processor (Tucker-Davis Technologies).
After isolation of a neuronal unit or cluster from background noise, the frequency tuning of the neuronal response was coarsely mapped to determine whether the unit responded to low-, middle-, or high-frequency acoustic stimuli. A high-resolution frequency response function was derived by presenting a series of low (0.05–2 kHz), middle (1–4 kHz), or high (2–5 or 6 kHz) tone stimuli (12 logarithmic steps, 20- or 40-ms duration, 10 pulses/s) at levels ranging from 0 to 90 dB SPL (10-dB steps). If responses from a neuronal unit spanned two frequency ranges, both stimulus sets were presented. Each stimulus was presented 20 times in a pseudo-randomized sequence. After recordings, small electrolytic lesions (∼100 μm in diameter, 15 μA, 20 seconds to 1 minute) were made to mark the position of the electrode penetrations (see Fig. 4B) and to facilitate 3D reconstruction of SON.
Analysis of electrophysiological data
Single- and multiple-unit activity were sorted by using a freely available PostHawk program (David Schneider, Woolley Lab, Columbia University, New York, NY) written in MatLab (Mathworks, Natick, MA). Spike counts were obtained from a time window equal to the duration of the stimulus and adjusted to the minimum first latency of the response. For multiple-unit recordings, neuronal events were counted when the voltage trace exceeded two-thirds the peak voltage of the recording. We used event counts to calculate the rates of multiple-unit activity. Response threshold was defined as the intensity at which the spike rate (or rate of multiple-unit activity) during the stimulus time exceeded the average spontaneous rate by two SDs. Characteristic frequency (CF) was defined as the frequency with the lowest response threshold. Response patterns of neurons were classified from post-stimulus time histograms to tones of CF presented 20 dB above response threshold (Fig. 1). Frequency tuning curves were assessed by analyzing Q10, defined as the CF divided by the response bandwidth 10 dB above threshold.
Nissl staining
Following electrophysiological recording, animals were transcardially perfused with phosphate-buffered saline (PBS; 0.1 M, 7.2–7.4 pH) followed by chilled 4% paraformaldehyde in PBS. The brains were removed from the skull and postfixed overnight in the paraformaldehyde solution. Each brain was cut coronally at 40 μm on a freezing stage of a sledge microtome, and each section was collected in PBS. Sections were maintained in order and stained for Nissl with thionin.
Imaging and 3D reconstruction
Brightfield images were captured by using a Zeiss Axioplan 2ie microscope (Carl Zeiss Microimaging, Thornwood, NY) equipped with a 4× (NA 0.09) objective and a CoolSnap HQ monochrome digital camera (Princeton Instruments, Trenton, NJ) and collected in Slidebook (version 4.0.2.8; Intelligent Imaging Innovations, Denver, CO). Selected images were further processed in Adobe Photoshop (Adobe Systems, Mountain View, CA) to enhance contrast and alter brightness for inclusion in figure illustrations. Images of all brainstem sections containing the right SON were aligned to form a z-stack using freely available stackreg plugin (Thevenaz et al., 1998) for ImageJ software (W.S. Rasband; NIH, Bethesda, MD). SONs were reconstructed in 3D from the aligned image stack by using Amira software (Visage Imaging, Berlin, Germany).
For each case, coordinates of electrolytic lesions and electrode tracks in the aligned image stack were compared with stereotaxic coordinates taken at the brain surface for each electrode penetration in order to map recording sites in the reconstructed SON (see Fig. 4). Multilinear regression analysis (MRA) with linear and log equations was used to examine the tonotopic organization of each case (Table 1).
Table 1. Individual Superior Olivary Nucleus (SON) Reconstructions and Standardized SON Show Tonotopic Organization1.
Case | No. of recording sites | CF mean ± SD (Hz) | Sampled region of SON | Regression function type | r2 | F value | P value | ΘM-L(degrees) | ΘA-P(degrees) |
---|---|---|---|---|---|---|---|---|---|
100726 | 21 | 1,864 ± 800 | L | Linear | 0.51 | 5.8 | <0.01 | −0.8 | 39.8 |
100727 | 55 | 1,612 ± 975 | A, P, and L | Linear | 0.51 | 17.7 | <0.001 | −19.5 | −19.9 |
100729 | 24 | 2,328 ± 869 | L | Linear | 0.62 | 10.7 | <0.001 | −31.5 | 19.1 |
100801 | 59 | 1,475 ± 944 | A, P, and M | Linear | 0.6 | 28.1 | <0.001 | −42.2 | 7.7 |
100803 | 75 | 1,992 ± 1,352 | A, P, and M | Linear | 0.61 | 36.5 | <0.001 | −28.6 | 5.6 |
100804 | 25 | 2,101 ± 1,527 | P | Linear | 0.81 | 30.6 | <0.001 | −5.6 | −17.8 |
100810 | 12 | 2,542 ± 1,107 | P | >0.05 | |||||
100811 | 51 | 2,478 ± 1,453 | P | Linear | 0.85 | 86.7 | <0.001 | −0.1 | −5.8 |
100812 | 67 | 1,770 ± 1,228 | M | Linear | 0.58 | 28.6 | <0.001 | −4.6 | −5.7 |
100813 | 28 | 1,493 ± 860 | P | Linear | 0.83 | 39.4 | <0.001 | −23.8 | −8.4 |
100816 | 19 | 1,786 ± 1,008 | M and L | Log | 0.49 | 48 | <0.05 | 51 | −6.9 |
100817 | 29 | 1,773 ± 1,333 | P and L | Linear | 0.69 | 18.1 | <0.001 | 2.3 | −49.8 |
100818 | 13 | 2,055 ± 1,207 | A | Linear | 0.86 | 18.5 | <0.001 | 83.1 | −52.6 |
110224 | 32 | 2,452 ± 1,216 | P | Linear | 0.67 | 18 | <0.001 | −73.7 | −39.5 |
110226 | 43 | 1,889 ± 1,102 | M | Log | 0.67 | 26.9 | <0.001 | −30.8 | −3.6 |
110228 | 21 | 2,040 ± 1,108 | A | >0.05 | |||||
110301 | 24 | 2,400 ± 1,124 | A and L | Linear | 0.6 | 9.9 | <0.001 | 34.2 | −28.3 |
110302 | 30 | 1,847 ± 940 | P and L | Linear | 0.51 | 8.9 | <0.01 | 19.7 | −21 |
110303 | 31 | 2,117 ± 1,018 | A | Linear | 0.59 | 7.9 | <0.01 | 17.4 | −0.2 |
Mean ± SD | 35 ± 19 | 1,992 ± 344 | 0.65 ± 0.13 | −4.4 ± 38 | −12 ± 24 | ||||
Combined | 659 | 1,935 ± 1,210 | Entire SON | Linear | 0.62 | 182 | <0.001 | −4.5 | −7.7 |
Onset | 80 | 1,690 ± 1,031 | Entire SON | Linear | 0.45 | 8.6 | <0.01 | −5.9 | 3.5 |
Sustained | 233 | 1,870 ± 1,214 | Entire SON | Linear | 0.64 | 68.3 | <0.001 | −2.7 | −4.4 |
Statistics presented for the regression function (linear or log) with the greatest r2 value. Positive ΘM-L values indicate tonotopic axes oriented from dorsolateral to ventromedial compared with dorsal-ventral axis. Positive ΘA-P values indicate tonotopic axes oriented from dorsoposterior to ventroanterior compared with dorsal-ventral axis. F value used to test significance of the MRA. Abbreviations: A, anterior; L, lateral; M, medial; P, posterior.
For each SON reconstruction, we determined the ratio of lengths of the medial-lateral to dorsal-ventral to anterior-posterior axes (mean ± SD, 0.70 ± 0.07 to 0.59 ± 0.05 to 1). Also, we determined the orientation of the major axis of each SON reconstruction. For all cases, the anterior ends of the major axes pointed 17 ± 10° medial and 9 ± 6° ventral to the anterior-posterior axis.
We created a standardized SON containing all recording sites of 19 reconstructed SONs by using three steps. First, we translated the reconstructed SONs to overlay their centroids. Second, we rotated the reconstructed SONs to align their major axes to the mean orientation of the population (see above). Third, we normalized the lengths of the medial-lateral, dorsal-ventral, and anterior-posterior axes of all reconstructed SONs. All analyses of the combined dataset containing all recording sites used these normalized anatomical coordinates ranging from 0 to 1 along each axis. However, to visualize the standardized SON and its topographic organization, the lengths of the medial-lateral, dorsal-ventral, and anterior-posterior axes were scaled by the mean ratio of the population (0.7 to 0.59 to 1; see above) to preserve the anatomical shape of SON.
Principle component analysis (PCA) and MRA were used to determine the major tonotopic axis across the standardized SON. Three key steps were used to apply PCA to our experimental dataset. First, we organized the combined dataset into a 4×659 matrix. Each of the four rows contained one measurement type (medial-lateral coordinate, dorsal-ventral coordinate, anterior-posterior coordinate, CF) and each column contained data from one recording location. Second, we subtracted the mean and normalized the range of each measurement type, or row of the matrix. Third, we computed the eigenvectors and eigenvalues of the covariance matrix to determine the principal components. The orientation of the first principal component was visualized in three spatial dimensions by using the first three values of the eigenvector associated with the medial-lateral, dorsal-ventral, and anteior-posterior dimensions, respectively.
MRA was performed on the combined dataset by using linear and log equations. The data were best fit by the multilinear regression function:
(1) |
where CF is the characteristic frequency in kHz, / is the normalized medial-lateral coordinate (lateral edge is 1), v is the normalized dorsal-ventral coordinate axis (ventral edge is 1), and a is the normalized anterior-posterior coordinate (anterior edge is 1).
To visualize the tonotopic dimensions (see Figs. 5, 6, and 8), we show the orientations of the first principal component and the multilinear regression equation with arrows passing through the “center of mass” of the recording sites. The center of mass of recording sites was defined as the mean of their positions in 3D.
For isolated neuronal responses, the spatial distributions of two physiological types of neurons (sustained and onset) were visualized and analyzed in the standardized SON. The tonotopic organization of each type was examined by using MRA (Table 1).
Statistical evaluations were made by using Student's t-test or r2 correlation, and statistical significance was achieved when P < 0.05. All data are presented as mean ± SD.
Results
The results are presented in three main sections. First, we characterize several properties of SON neurons important for auditory processing: response patterns, frequency tuning and selectivity, and response threshold. Second, the 3D spatial organization of frequency tuning is reconstructed for each individual SON. Finally, these representations are projected onto a 3D standardized SON to provide a predictive tonotopic map and examine the spatial distribution of two neuronal response patterns in the SON.
Response patterns, frequency tuning and selectivity, and response threshold
By using in vivo recordings, we characterized the response properties of neurons in the SON to ipsilateral tones. Response patterns, CFs, widths of tuning curves, and response thresholds varied widely between SON neurons.
Figure 1 illustrates the response patterns of isolated single SON neurons to ipsilateral tones of CF presented at 20 dB above response threshold. Seventy-three percent of isolated neurons generated sustained responses, either primary-like (Fig. 1A) or pauser-like patterns (Fig. 1B), 25% of isolated neurons produced onset response patterns (Fig. 1C), and 2% suppressed activity in response to ipsilateral tones (Fig. 1D). These activity patterns, and the relative proportion of each response type are consistent with our previous characterization of the SON in chickens (Coleman et al., 2011). Complexity and diversity of SON neuronal responses may derive from their multiple inputs. SON responses resemble the varied response types observed in NA neurons (Sachs et al., 1978; Carr and Soares, 2002; Koppl and Carr, 2003). Additionally, sustained responses in SON may also be evoked by sustained NL neuron inputs, which are weakly driven by monaural stimulation (Pena et al., 1996).
To examine frequency tuning of SON neurons, we constructed their frequency-level response maps. The patterns of excitatory and suppressed response regions of tuning curve plots differed widely between neurons. Representative tuning profiles are shown in Figure 2. Figure 2A shows a response map of an isolated neuron with a V-shaped excitatory region (gray lines) and suppressed responses to neighboring frequencies (red line). Figure 2B shows tones at CF driving excitatory responses of a neuron at intensities above response threshold, but suppressing responses of this neuron at lower sound levels. Figure 2C illustrates an example of a suppressed responder, which reduced its spike rate to a range of frequencies but showed no excitatory response areas.
To compare tuning and selectivity of these neurons, we measured their CF, Q10s, and response thresholds. Figure 3 shows the distributions of response properties of SON neurons to ipsilateral tones. Among the 310 multiple-units and 349 isolated neurons recorded in the SON, CF ranged from 90 to 5,000 Hz (Fig. 3A; see Fig. 3 legend for statistics). CF distributions of isolated neurons with sustained or onset response patterns represented the entire frequency range of hearing in chicken (Fig. 3B; Gray and Rubel, 1985; Saunders and Salvi, 1993). Next we measured the response thresholds at CF in the SON. Thresholds of multiple-unit responses tended to be slightly higher than the thresholds of isolated neuronal responses (P < 0.01; Fig. 3C). This increase reflects multiple-unit recordings with neuronal waveforms that individually were not detected by using our threshold criterion, but summed to form detectable waveforms at higher sound intensities. For isolated neurons, thresholds of both sustained and onset responders increased with CF (Fig. 3C,D). For example, average thresholds of sustained responders increased ∼20 dB between CF of 100 and 5,000 Hz (Fig. 3D, bottom). Caution should be used when comparing thresholds between sustained and onset responders because the spike rate criterion used to determine response threshold (see Materials and Methods) may not be equally sensitive between categories of responders.
Finally, we assessed frequency selectivity of SON neurons by measuring Q10, which increases with selectivity and CF (r2 = 0.50, P < 0.01). Sustained responders showed higher frequency selectivity, i.e., narrower tuning curves, than onset responders (P < 0.01; Fig. 3E). In summary, Figure 3 shows that CF, threshold, and Q10 distributions in the SON resemble other auditory brainstem nuclei in this species (Sachs et al., 1978; Warchol and Dallos, 1990).
3D reconstructions of SON and recording sites
Figure 4 illustrates how individual SONs and recording sites were reconstructed in 3D. Figure 4A shows coronal sections through the SON stained for Nissl. Consecutive sections containing the SON were aligned as described in Materials and Methods. By using the coordinates of the electrolytic lesions, approximately 100 μm in diameter (Fig. 4B, double arrowheads), and the positions of the electrode tracks (Fig. 4A,B, arrows), the recording sites were mapped onto the reconstructed SON for each case (see Materials and Methods). The 3D reconstruction of the SON and locations of recordings are presented in the coronal (Fig. 4C) sagittal (Fig. 4D), and horizontal views (Fig. 4E). Supplemental Movie 1 shows a rotation of this 3D reconstruction (Fig. 4), to visualize the shape of SON and locations of recordings. Table 1 lists the number of recording sites and general region of the SON sampled in each case. We recorded from 12 to 75 sites per animal, and across all cases neuronal responses from all regions of SON were sampled. Because we were able to map recordings to precise locations in 3D SON reconstructions, these datasets could be used to quantitatively analyze the topographic organization of the SON.
Individual SON are tonotopically organized
By using 3D reconstructions of recording sites in the SON, we performed MRA to determine the tonotopic organization of individual SON in each animal. In the majority of cases, recording sites were clearly arranged from low CF located dorsally to high CF located in the ventral SON. Figure 5 shows tonotopic analyses of two individual SONs. Figure 5A shows the case presented in Figure 4 with CFs of recording sites indicated by colored dots. We tested for a relationship between location and CF by using both linear and log regression functions. In 15 cases, including the two shown in Figure 5A and B, a linear relationship best predicted the tonotopic organization. In two cases a log equation better fit the data, and in two cases no relation was observed (Table 1). These results are comparable to the linear representation of frequency in other auditory brainstem nuclei in chickens (Rubel and Parks, 1975). In the case shown in Figure 5A, the coefficient of determination (r2) indicated that 85% of the variation in CF could be accounted for by the location of the recording within SON. The case illustrated in Figure 5B had an r2 value of 0.62 (see Table 1 for all r2 values). The tonotopic axes, determined by the regression functions, are represented with arrows drawn through the center of mass of the recording sites and pointing to high CF (Fig. 5A,B).
To visually compare the tonotopic organization between cases, all statistically significant tonotopic axes (17 of 19 cases) were overlaid on a single 3D reconstruction of the SON (Fig. 5C). Here, the lengths of the arrows approximate the extent of the SON in that direction sampled in each case. Also, we measured the angles between the dorsal-ventral axis and the tonotopic axes in the medial-lateral (mean ± SD, ΘML: −4 ± 38°) and anterior-posterior (ΘAP: −12 ± 24°) dimensions (Table 1). In 14 cases the CF was predominantly mapped along the dorsal-ventral axis of the SON; from lower CF in the dorsal SON to higher CF in the ventral SON (Fig. 5C, left and center). This trend was apparent whether recording sites were concentrated in the anterior, posterior, medial, or lateral region of the SON (Fig. 5A,B, Table 1).
Standardized SON is tonotopically organized
Above we demonstrated that individual SONs were tonotopically organized. However, in most subjects we sampled a limited region of the SON. In order to map the tonopic organization of the entire SON, we standardized the reconstructed SONs and the locations of the neuronal recordings and analyzed this combined dataset.
To combine data from all 19 reconstructed SONs, locations of the recording sites were converted into normalized distances along three orthogonal axes in the SON (see Materials and Methods). These normalized coordinates allowed all recording sites to be mapped in a standardized SON.
Because the presence and arrangement (linear or nonlinear, single or multiple gradients) of the tonotopic organization in SON were unknown, we performed principal component analysis (PCA) on the combined dataset to determine the appropriate dimension(s) to observe the possible tonotopic organization. The first principal component accounted for 72% of the variance in the data (Fig. 6D). Visualizing this component in three spatial dimensions (Fig. 6A-C, gray arrows) revealed that it was dorsoventrally oriented and followed the gradient of CFs in the SON. These results suggest that frequency is organized in a gradient along one dimension in the SON.
To quantitatively model the tonotopic organization in the combined dataset, we performed MRA by using both linear and log equations. A linear equation (Eq. 1) best fit the combined dataset, finding a significant but not strong correlation (r2 = 0.62, P < 0.01) between CF and location within the SON. The regression function suggests a predominantly dorsoventrally oriented tonotopic axis in SON (Fig. 6A-C, black arrow). Supplemental Movie 2 shows the 3D standardized SON with CF of recording sites and the orientations of the first principal component and regression function, rotating around the dorsal-ventral axis. Comparing the predicted and measured CFs, we found that error magnitude (|CFpredicted − CFmeasured|) varied widely at each position along the calculated tonotopic axis (Fig. 6E). We performed these same analyses on a dataset including only isolated neuronal recording sites (Fig. 6D,E, red). The results of both PCA and MRA were similar to the results obtained from the complete dataset. Both the large error magnitude and the relatively low r2 value suggest that the frequency map in the SON is not as precise as the tonotopic organization in other brainstem auditory nuclei in the same species (Rubel and Parks, 1975).
Next, we examined the possibility that the relatively low r2 values reflected particular regions of the SON that did not match the predicted frequency organization. To address this possibility, the standardized SON was sliced into five sections containing approximately the same number of recording sites using isofrequency planes (inset in Fig. 6F). Sections were collapsed along the tonotopic axis into 2D, and MRA showed no significant relation between these 2D locations of recordings and CF (P > 0.05 for MRA of all slices). Also, CF was not correlated with medial-lateral (Fig. 6F) or anterior-posterior (Fig. 6G) location in these sections, but varied widely throughout these slices. Because we did not detect a pattern to the distribution of error across SON we did not pursue nonlinear analyses.
To compare the location of regions of SON involved in processing different ranges of stimulus frequencies, we visualized the location of low (CF<1120 Hz, n = 219), intermediate (1120 Hz < CF < 2,460 Hz, n = 233) and high (CF > 2,460 Hz, n = 207) CF neuronal responses (Fig. 7). As expected from the analyses of the tonotopic organization, the low CF sites were densely distributed in the dorsal SON (Fig. 7A), whereas the high CF sites were densely distributed in the ventral SON (Fig. 7C). Intermediate CF sites were densely distributed in a band through the middle of the SON (Fig. 7B). When viewed in the horizontal plane (Figs. 6C, 7, bottom) the CF distribution within these three broad divisions of CF appeared quite random.
Distribution patterns of response patterns in SON
We examined the spatial distribution patterns of isolated neurons with onset or sustained response patterns. Suppressed responders were encountered too infrequently to assess their spatial distribution. As shown in Figure 8A, both onset and sustained responders were located throughout SON. In addition, the distributions of onset and sustained responders were similar across the tonotopic axis derived from the regression function (Fig. 8B). By using MRA, we examined the tonotopic organization of onset and sustained responders separately. Both neuronal types showed a dorsal (low CF) to ventral (high CF) tonotopic organization (Fig. 8C, Table 1). These results suggest that onset and sustained types of neuronal responses are not distributed in separate regions or patterns, but instead are interspersed throughout SON.
Discussion
We investigated the tonotopic organization and neural response properties in the SON, the primary source of inhibitory inputs to auditory nuclei in the avian dorsal brainstem. We generated a quantitative 3D map of the relationship between the characteristic frequency (CF) and anatomical coordinates by using predictive statistical methods. This map is required for future investigation of functional roles of the SON, in particular those involving interactions between frequency representation and coding of other acoustic features. This map contains three main observations: 1) sound frequency is linearly mapped approximately dorsal-ventral across SON; 2) this tonotopic organization is less precise than that of the other nuclei in the auditory brainstem, suggesting that inhibitory function in this avian auditory circuitry does not depend on precise tuning; and 3) neurons with sustained or onset response patterns are interspersed throughout the SON in all CF regions. These findings are consistent with proposed roles of the SON in regulating firing rate and frequency tuning of its targets. In the sections below, we first compare the quantitative mapping methods used in the current study with other quantitative methods that have been applied in topographical mapping. Next we compare physiological properties of SON with other auditory centers in birds in relation to their role in auditory information processing. Finally, we relate SON circuitry to inhibitory function in mammalian auditory brainstems.
Comparison of quantitative mapping methods
This work follows a long history of studies attempting to map frequency tuning and other physiological features of auditory structures (Clopton et al., 1974; Rubel and Parks, 1975; Sanes et al., 1989; Bajo et al., 1999; Cohen and Knudsen, 1999). In these studies, 3D auditory structures were often collapsed along assumed inconsequential dimensions into lower (one or two) dimensional projections from which all analyses were performed. Laminar structures such as sensory epithelium and cortical areas are usually suited for 2D analyses. However, sensory centers in other regions of the brain more often have complex 3D structures. Traditional analyses based on 2D projections of these complex structures are not able to provide complete and accurate knowledge of their organization. Quantitative constructions of topographic maps in 3D, such as the approach we adopted to map the SON, offer a number of advantages: 1) no loss of information from dimension reduction; 2) visualizing the dataset and model in 3D; 3) creating an expandable database; and 4) comparing structures between experimental groups or between species.
We used two complementary methods, PCA and MRA, to analyze the topography of SON features. Both methods produced similar results from the standardized dataset. A key application of PCA is data analysis of an unknown, but potentially low-dimensional system. In the current study, PCA produced low-dimensional reductions of the tonotopic organization from seemingly complex data collected in the SON, when equations governing this organization were not known.
In addition to PCA, we used MRA to examine the relation between location and frequency tuning in the SON. Generally, in different auditory nuclei this relationship can be best described by different regression functions, such as linear, log, or power (Clopton et al., 1974). Our results demonstrated that the tonotopic organization of SON was best fit by linear functions, similar to other studied auditory nuclei in chicken (Rubel and Parks, 1975; Heil and Scheich, 1985). This linear relationship, as opposed to a log relationship often observed in auditory centers, is probably a consequence of the limited frequency range of hearing in chickens (Gray and Rubel, 1985; Saunders and Salvi, 1993) relative to most mammals (Masterton et al., 1969).
3D tonotopic map of SON
Most individual cases showed recording locations organized tonotopically from low frequencies in the dorsal SON to high frequencies in the ventral SON. The analyses of two cases showed no tonotopic organization, probably due to a limited number of recording sites in one case (100810) and a few aberrant recording sites in the other case (110228). When the standardized SON was analyzed, the multilinear regression function accounted for 60% of the variability in the dataset, an indicator of the precision of this topographical map. This degree of precision is notably less than the coefficient of determination (r2), calculated from the basilar papilla, NL, nucleus magnocellularis (NM), and Field L in chickens (Rubel and Parks, 1975; Ryals and Rubel, 1982; Heil and Scheich, 1985; Manley et al., 1987), but similar to those quantified in the lateral superior olive, inferior colliculus, medial geniculate nucleus, and auditory cortex in cat (Clopton et al., 1974) and in Field L complex in canary (Terleph et al., 2006). Finally, we found that neurons with the two most common response types, sustained and onset, are interspersed throughout the SON. Each type forms a complete tonotopic representation, and these maps show similar spatial arrangements. Thus, the SON appears to process at least two types of information in parallel.
Two features common to all auditory nuclei studied in the bird brainstem including the SON are: 1) that only a single frequency representation is found for each nucleus (Rubel and Parks, 1975; Koppl, 2001); and 2) that the tonotopic map preserves the topographic organization of the sensory epithelium without magnification or compression (Ryals and Rubel, 1982; Manley et al., 1987).
Possible functions of SON
Firing patterns of SON neurons to ipsilateral tones appear to be shaped primarily by the inputs from the NA, one of two main excitatory inputs to the SON. First, physiological response patterns of SON neurons closely resemble those of NA neurons. Both nuclei include sustained and onset responders and diverse frequency-level response maps (Sachs et al., 1978; Moiseff and Konishi, 1983; Warchol and Dallos, 1990; Lachica et al., 1994; Carr and Soares, 2002; Soares et al., 2002; Koppl and Carr, 2003; Fukui et al., 2010; Coleman et al., 2011). Second, response thresholds in SON are similar to CF-matched NA neurons, whereas NM neurons may have slightly higher thresholds (Sachs et al., 1978; Warchol and Dallos, 1990; Coleman et al., 2011). Although the SON most closely resembles the NA physiologically, we cannot exclude contributions from the NL. It is possible that sustained responders in the SON may derive their responses from NL inputs. NL neurons, in turn, inherit their monaural physiological characteristics from NM neurons, which include primary-like response patterns and simple V-shaped tuning curves. Also, we did not assess the binaural response properties of SON neurons in this study, which could reveal a currently unexplored contribution from NL's projection to SON response properties.
One proposed function of the SON is lateral sharpening of frequency tuning in its target neurons within the NM, NA, and NL. An in vivo physiological study revealed that inhibitory input to the NM is more broadly tuned than excitatory input to the NM (Fukui et al., 2010). Whether this broadly tuned inhibition results from a few broadly tuned SON inputs or the convergence of many narrower tuned inputs remains to be determined. Because frequency selectivity (e.g., Q10 dB values) varies widely between SON neurons, encompassing the range of Q10 dB values reported for NA and NM neurons (Warchol and Dallos, 1990), the convergence of SON inputs to the NM accounting for the broad tuning cannot be accurately predicted from the data available. In the NL, the breadth of inhibitory tuning remains unknown; however, anatomical studies demonstrated a broad topographic organization of the SON-NL projection in marked contrast to the NMNL projections, which innervate highly restricted regions of the tonotopic axis (Young and Rubel, 1983; Tabor et al., 2011). This projection pattern suggests an anatomical substrate for lateral sharpening of frequency tuning in NL neurons.
How the diverse response properties of SON neurons to pure tone stimuli affect the neuronal activity in this circuit remains unknown. The majority of SON neurons show a sustained response to tones with their firing rate reflecting stimulus intensity. This pattern is well suited to regulate the gain of the circuit, a function that has been implied for SON (Pena et al., 1996; Burger et al., 2005; Dasika et al., 2005). In addition, many neurons with sustained responses show phase-locking, which may provide temporally patterned inhibition to the network (Coleman et al., 2011). Timed inhibition is important for computing interaural timing differences in the gerbil medial superior olive (MSO) (Brand et al., 2002; Grothe, 2003); however, its role in the avian auditory brainstem has not been tested.
Comparison with mammals
The mammalian auditory system does not appear to have an exact homolog or analog to the SON. Instead, mammals have multiple nuclei that provide inhibition to the auditory brainstem and the inner ear. These nuclei, which may include the medial nucleus of the trapezoid body (MNTB) and a number of periolivary nuclei, provide a similar range of functions as the SON in birds. Our current view is that the SON enables binaural balancing of neural activity (Burger et al., 2005; Dasika et al., 2005; Fukui et al., 2010; for review, see Burger et al., 2011) that is essential for brainstem processing of low-frequency binaural information used for sound localization. In addition, the SON provides feedback inhibition to the NL and the cochlear nuclei (Lachica et al., 1994; Yang et al., 1999; Monsivais et al., 2000; Burger et al., 2005), and feed-forward inhibition to the lateral lemniscus (LL) and midbrain (Conlee and Parks, 1986; Westerberg and Schwarz, 1995; Wild et al., 2009). In rodents, binaural balancing is performed by the lateral olivocochlear efferents (Groff and Liberman, 2003; Darrow et al., 2006).
Feedback inhibition to all subdivisions of the mammalian cochlear nucleus is provided by glycinergic and GABAergic input from periolivary regions, in particular, the contralateral ventral nucleus of the trapezoid body, and the ipsilateral MNTB and lateral nucleus of the trapezoid body (LNTB) (Adams, 1983; Spangler et al., 1985; Schofield, 1994; Warr and Beck, 1996; Ostapoff et al., 1997). Inhibition to MSO (analogous to NL) is provided by MNTB and LNTB (Cant and Hyson, 1992; Grothe and Sanes, 1993). Feed-forward inhibition to LL and the auditory midbrain is provided by a combination of the various nuclei, including the MNTB, LNTB (Yavuzoglu et al., 2010), and superior periolivary nucleus (also named the dorsomedial periolivary nucleus) in mammals (Kadner and Berrebi, 2008; Saldana et al., 2009; Kopp-Scheinpflug et al., 2011). The comparatively simple organization of inhibition in the avian auditory brainstem makes this an appealing model for studying the roles of inhibition in auditory processing in vertebrates.
Supplementary Material
Acknowledgments
We thank Dr. Yuan Wang for critical reading of the manuscript; Dr. Rachel Wong, Matthew Fischl, Stefan Oline, and Sonia Weimann for discussion; Dr. Adrienne Fairhall for help with analyses; David Schneider and Dr. Sarah Woolley for PostHawk software; and Brandon Warren for Spike software.
Grant sponsor: National Institute on Deafness and Other Communication Disorders, National Institutes of Health; Grant numbers: DC008989 (to R.M.B.), DC03829 and DC04661 (to E.W.R.), and T32 DC005361 (to the University of Washington).
Footnotes
Additional Supporting Material may be found in the online version of this article.
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