INTRODUCTION 12 13 15 22 14 18 6 18 2 17 2 et al. 15 RESPONSE MAP SCHEME AND RATE VS. CUTOFF FREQUENCY PLOTS 4 17 22 23 1 1 6 FIGURE 1. et al. 15  15 1 1 18 1 1 et al. 1 1 1 1 et al. 15 18 FIGURE 2. et al. 2  CONCEPTUAL MODEL OF DCN CIRCUITRY et al. 2 2 9 3 1 FIGURE 3. 6  7 21 20 TABLE 1. Physiological unit types with corresponding model unit types. Physiological unit type Model unit type Type III units P-cells Type II units I2-cells Wideband inhibitors W-cells Auditory nerve fibers AN-fibers METHODS Organization of the DCN Model 6 3 3 4 \documentclass[12pt]{minimal}
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\begin{document}$$\tau _{{\rm A} \to {\rm B}}$$\end{document}  TABLE 2. Intrinsic parameters. Population m θ (mV) b k k E k E ex E in W-cells 5.0 4.0 2.00 1.0 −10 +70 −10 I2-cells 6.0 14.5 1.75 1.0 −10 +70 −10 P-cells 10.0 7.5 2.00 1.0 −10 +70 −10 Neuron Model 5 10 FIGURE 5. V m C m G G k E k G ex/in E ex/in  1 \documentclass[12pt]{minimal}
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$$\tau _{\rm k} \frac{{dg_{\rm k} }}{{dt}} = - g_{\rm k} + b_{\rm k} S,$$\end{document} 3 \documentclass[12pt]{minimal}
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\begin{document}$$\sigma _{{\rm I}2 \to {\rm P}}$$\end{document} Auditory Nerve Model 1 5 In order to save time, all stimuli were processed by the auditory nerve filter bank once and the spike time responses were saved for use in subsequent simulations of the DCN circuitry. Simulation Protocol and Data Analysis All simulations were carried out on an IBM pSeries 655, which is a 48-processor system composed of six nodes. Each p655 node consists of eight Power4 processors running at 1.1 GHz and sharing 16 GB of memory. There are three levels of cache on this machine. Each processor has a 32 KB L1 cache and then each pair of processors share a 1.41 MB L2 cache, and each p655 node shares a 128 MB L3 cache. To create RMs, the model was stimulated by 50-ms tone bursts presented every 250 ms with a 32-ms delay while sound pressure levels varied from 0 to 60 dB SPL in 2 dB SPL steps and the frequency varied in 0.1 octave steps within a three octave band above and below 5 kHz. Thus, there are 31 frequency slices in one RM simulation. The spikes of the last 40 ms of each trial were used to compute the spontaneous rate and the spikes of the last 40 ms of each tone burst were used to compute the driven rate. In this paper, RMs composed of rate vs. frequency curves for seven levels were plotted (0–60 dB SPL in 10 dB SPL steps). This is because the physiological data were taken only to 60 dB SPL due to increasing recording artifacts above these levels. At each level, the horizontal line represents the unit’s spontaneous discharge rate; excitation and inhibition are shown as rates above and below this line, respectively. The excitatory region was filled black and the inhibitory region left blank. 6 6 TABLE 4. Data fits for all 15 type III units.  In Ref Unit BF SR min NSA \documentclass[12pt]{minimal}
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\begin{document}$$\sigma _{{\rm W} \to {\rm P}}$$\end{document} 1 Fig. 3A L122299 3.01 4.3 38 3.4 90 0 0 a 0.25 0.90 2 Fig. 3B L021199 1.01 4.7 77 3.8 120 0.2 0 a 0.45 1.80 3 Fig. 3C L110199 2.01 2.6 13 2.4 80 0 0 3.00 0.12 0.25 4 Fig. 4A L111799 9.01 4.9 9 2.8 80 0.2 −0.2 2.00 0.12 0.25 5 Fig. 4B L122299 4.01 11.0 14 4.7 80 0 −0.2 1.25 0.24 0.90 6 Fig. 4C L110199 11.02 4.2 12 11.0 80 0 0 a 0.15 a 7 Fig. 4D L102599 7.01 10.2 26 5.1 90 0 0 1.50 0.25 0.70 8 Fig. 4E L041499 16.01 3.8 30 8.1 80 0.2 −0.2 2.50 0.12 0.20 9 Fig. 4F L021199 4.01 7.1 15 2.8 80 0 0 a 0.18 0.25 10 Fig. 4G L102599 8.01 6.4 22 5.6 80 0 0 1.50 0.12 0.40 11 Fig. 4H L041499 13.01 1.2 35 2.4 80 0 0 1.25 0.24 0.80 12 Fig. 4I L041499 1.02 1.3 9 9.8 80 0.2 0 a 0.06 0.15 13 Fig. 4J L041499 1.01 1.2 49 5.8 80 0 −0.2 a 0.24 0.90 14 Fig. 4K L040700 3.01 11.4 20 1.3 80 0.2 0 3.00 0.24 0.25 15 Fig. 4L L040700 7.01 15.1 24 0.4 120 0 0 2.75 0.45 a Note et al. 15 a RESULTS Fit of the Model to Physiological Data and Parameter Sensitivity Analysis et al. 15 6 5 \documentclass[12pt]{minimal}
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\begin{document}$$\Phi = \frac{1}{N}\sum\limits_{i = 1}^N {\left( {\frac{{y_{\rm d} (i) - y_{\rm m} (i)}}{{\max (y_{\rm d} )}}} \right)^2 } \times 500,$$\end{document} y d y m N 6 \documentclass[12pt]{minimal}
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\begin{document}$$\sigma _{{\rm W} \to {\rm P}}$$\end{document} min et al. 15 Comparisons Between Physiological Data and Model Data: Response Maps and Notch Noise Rate-Level Curves 9 11 6 8 min 9 11 9 10 et al. 15 DISCUSSION 18 6 et al. 15 This study demonstrates that the same computational model used to model the notch noise behavior in cat type IV units can be used to model type III unit notch noise sensitivity in gerbil DCN. The fact that we can use the same neural circuit to model the DCN in both species suggests that perhaps this aspect of the DCN neural circuit is invariant across species. et al. 15 6 18 6 FIGURE 11. 9  \documentclass[12pt]{minimal}
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