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Frequency modulation (FM) is a prominent feature in animal vocalization and human speech. Although many neurons in the auditory cortex are known to be selective for FM direction, the synaptic mechanisms underlying this selectivity are not well understood. Previous studies of both visual and auditory neurons have suggested two general mechanisms for direction selectivity: 1) differential delays of excitatory inputs across the spatial/spectral receptive field and 2) spatial/spectral offset between excitatory and inhibitory inputs. In this study, we have examined the contributions of both mechanisms to FM direction selectivity in rat primary auditory cortex. The excitatory and inhibitory synaptic inputs to each cortical neuron were measured by in vivo whole-cell recording. The spectrotemporal receptive field (STRF) of each type of inputs was mapped with random tone pips and compared with direction selectivity of the neuron measured with FM stimuli. We found that both the differential delay of the excitatory input and the spectral offset between excitation and inhibition are positively correlated with direction selectivity of the neuron. Thus, both synaptic mechanisms are likely to contribute to FM direction selectivity in the auditory cortex. Finally, direction selectivity measured from the spiking output is significantly stronger than that based on the subthreshold membrane potentials, indicating that the selectivity is further sharpened by the spike generation mechanism.
Frequency-modulated auditory stimuli sweeping across wide spectral ranges are prevalent in the natural environment. The direction of frequency modulation (FM) carries important information in animal communication (Winter et al., 1966; Kanwal et al., 1994; Wang, 2000) and human speech (Lindblom and Studdert-Kennedy, 1967; Gold and Morgan, 2000; Zeng et al., 2005). Neurons in several stages of the auditory pathway, including inferior colliculus (Nelson et al., 1966; Gordon and O'Neill, 1998; Fuzessery et al., 2006), auditory thalamus (O'Neill and Brimijoin, 2002), and the primary auditory cortex (A1) (Suga, 1965b; Mendelson and Cynader, 1985; Zhang et al., 2003), are known to exhibit FM direction selectivity, but the underlying circuit mechanisms remain unclear.
Previous studies have suggested two general mechanisms well suited for shaping direction selectivity. First, the latency of excitatory inputs changes systematically with the stimulus location (visual) or frequency (auditory) (Fig. 1A, B; “differential latency” mechanism). The moving visual stimulus or FM sound sweep in the preferred direction activates long-latency inputs before short-latency inputs, evoking higher responses via temporal summation. In contrast, stimulus in the opposite direction activates temporally dispersed inputs, evoking lower responses (Fig. 1C). While this mechanism has been demonstrated in the primary visual cortex (V1) (Livingstone, 1998; Priebe and Ferster, 2005; Priebe and Ferster, 2008), whether it operates in the auditory cortex is unclear. Another “asymmetric inhibition” mechanism involves inhibitory inputs preferentially localized to one side of the excitatory region (Fig. 1D, E). While the preferred stimulus sweeps across the excitatory region before entering the inhibitory sideband, thus evoking large responses, stimulus in the opposite direction activates the inhibitory input first, effectively suppressing excitatory responses (Fig. 1F). Although asymmetric suppressive sidebands have been demonstrated in both V1 (Livingstone, 1998; Murthy and Humphrey, 1999) and A1 (Suga, 1965b; Shamma et al., 1993; Nelken and Versnel, 2000; Razak and Fuzessery, 2006), the synaptic nature of the suppression is only beginning to be characterized (Zhang et al., 2003; Wu et al., 2008).
In this study, we used in vivo whole-cell recording in rat A1 to examine the role of both differential latency and asymmetric inhibition in FM direction selectivity. The excitatory and inhibitory inputs to each neuron were separated by recording the responses at several holding voltages, and their spectrotemporal receptive fields (STRFs) mapped with random tone pips (deCharms et al., 1998; Theunissen et al., 2000). We found that for excitatory inputs, the latency shifts systematically with stimulus frequency in a manner consistent with direction selectivity of the neuron, while inhibitory inputs show less consistent latency shift. Furthermore, we found a significant difference between the spectral tuning of excitatory and inhibitory inputs, and the spectral offset is correlated with the FM direction selectivity of the cell. Thus, both differential latency and asymmetric inhibition mechanisms may contribute to FM direction selectivity in A1. Finally, direction selectivity measured from the spike rate is significantly stronger than that measured from the subthreshold responses, consistent with findings in V1 (DeAngelis et al., 1993; Emerson, 1997; Baker, 2001; Conway and Livingstone, 2003; Priebe and Ferster, 2005).
Adult male Spague-Dawley rats (7 - 10 weeks, 200 - 350 g) were used in this study. Animals were anaesthetized with pentobarbital (initially 50 mg kg-1, i.p., maintained at 6 mg h-1). After the animal was mounted in a stereotaxic device, a craniotomy was performed and dura matter was removed to allow access to the A1 in the left hemisphere. Cerebrospinal fluid was released at the medulla level. Throughout the experiment, the core body temperature (37.5 - 38.5°C, maintained by a custom-made electric blanket), heart rate, and EEG were continuously monitored to assess the level of anesthesia. The animal use protocol was approved by the Animal Research Advisory Committee of Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences.
For whole-cell recordings, the glass microelectrode was filled with the intracellular solution (pH 7.3, 290 mOsm kg-1) containing (in mM): K-gluconate 136, KCl 4, HEPES 10, Na-gluconate 20, MgSO4 2, EGTA 0.2. For the experiments measuring the excitatory and inhibitory synaptic inputs, QX-314 (5 mM) was added in the intracellular solution to block Na+ channels. The recording pipette was advanced at a speed of 5 - 10 μm/s at 45° from the horizontal. Most of the cells were recorded 150 - 1000 μm from the pial surface. The whole-cell recording was made with Axopatch 200A (Molecular Devices). Signals were filtered at 2 kHz (low pass) and sampled at 10 kHz. To measure the excitatory and inhibitory synaptic inputs, the postsynaptic current responses to each stimulus (tone pips or FM sweeps) were recorded at 2 - 3 holding potentials, which were corrected for a calculated liquid junction potential (Barry, 1994) of 16 mV. A total of 57 cells were included in this study, with 11 cells recorded without QX-314 (to allow measurement of spiking responses, as shown in Figures 2 and and7),7), and 46 recorded with QX-314 (to isolate the synaptic conductances). Although we have measured the excitatory and inhibitory STRFs for these 46 cells, only STRFs exhibiting clear tuning were used for further analyses (see below in Data Analysis, Cell selection). As a result, the excitatory STRFs of 38 cells were used for the analysis in Figure 4; the inhibitory STRFs of 37 cells were used in Figure 5. The 29 cells with well tuned excitatory and inhibitory STRFs (included those in both Fig. 4 and Fig. 5) were used in Figure 6.
Sound stimuli were generated and delivered by an electrostatic speaker ED1 through a hollow ear bar to the right ear using TDT system 3 (Tucker-Davis Technologies). The frequencies of the tone pips varied from 512 to 48k Hz with 0.1, 0.2, or 0.3 octave interval. Each tone pip lasted for 25 ms with 5 ms linear ramp. The FM stimuli swept between 0.5 and 48 kHz at a speed of 30 - 90 octaves/s in either upward or downward direction, delivered in a pseudo-random order at 2 - 4 Hz. Direction selectivity of the recorded neuron was determined at several intensities of the FM stimuli.
Direction selectivity index (DI) was define as (Pup − Pdown)/(Pup + Pdown), where Pup and Pdown are the spike rates, the amplitudes of subthreshold membrane potentials (measured under current clamp), or amplitudes of postsynaptic currents (measured under voltage clamp with holding potential of -70 mV) in response to the upward and downward FM sounds, respectively. In experiments without blocking action potentials, we separated the spikes by a high-pass filter (Carandini and Ferster, 2000) offline. The peri-stimulus time histogram (PSTH) was plotted from 60 trials with 5-ms bins. With the subtraction of the baseline firing rate, spike rate within 120 ms from the onset of upward or downward sweep was counted as Pup or Pdown. For measuring the amplitude of subthreshold responses, the membrane potentials after removal of spikes were averaged (Carandini and Ferster, 2000), and the peak amplitude of depolarization was measured.
The separation of excitatory and inhibitory conductances followed the method described by Wehr and Zador (2003). Briefly, the evoked synaptic current Isyn was computed as:
where ΔI(t) is the current recorded during sound stimulus minus the baseline current measured within 50 ms before stimulus onset, and Rs and Rm are the series and input resistances, respectively. The membrane potential Vm(t) is determined by
Based on Ohm's law, Isyn(t) = Gsyn(t)(Vm(t) − Esyn(t)), the total synaptic conductance Gsyn(t) and total synaptic reversal potential Esyn(t) were measured as the slope and intercept, respectively, of the linear regression of Isyn versus Vm. The excitatory and inhibitory conductances, Ge(t) and Gi(t), were then computed as:
Here Ee and Ei are the reversal potentials for excitatory and inhibitory inputs, respectively. For our internal solution, Ee = 0 mV and Ei = -85 mV (Wehr and Zador, 2003). We found that in our experiments, the linear regression (solid line in Fig. 3B) was very close to the mean Isyn at each Vm (gray circles). This indicates that the conductance is largely voltage-independent, consistent with the basic assumption used in this analysis.
Only cells exhibiting well-tuned excitatory or inhibitory STRFs were included in the analysis. For each type of inputs, we summed its STRF over the period of 10 - 70 ms after the stimulus onset to obtain its spectral tuning. This tuning was then fitted by a Gaussian function. The STRF was included in further analyses only if the Gaussian fitting reached R2 > 0.2.
where w1,2,3, or 4 are Fourier amplitudes in each of the four quadrants (Fig. 4B and and5B),5B), averaged over the range of 16.7 - 40 cycles/s for the temporal axis and 0.3 - 1.5 cycles/octave for the spectral axis.
The excitatory or inhibitory conductance change evoked by a FM sweep was predicted by convolution of the STRF and the FM stimulus at the given sweep rate. This is equivalent to shifting the response at each frequency by a time delay determined by the sweep rate before summing the responses across frequencies (supplemental Fig. 3). The onset latency of evoked conductance was defined by the time point when the evoked change was 1.96 times of standard deviation of the baseline. To predict the FM sweep-evoked responses measured under current or voltage clamp, we used the following equations:
Neuronal direction selectivity in A1 of adult rats was examined by using whole-cell recording method (see Materials and Methods). In a previous study using whole-cell recordings, the strongest FM direction selectivity of rat A1 neurons was found at a sweep rate of 70 octaves/s when excitatory currents were measured (Zhang et al., 2003). Result of our pilot experiment measuring direction selectivity as a function of sweep rate (supplemental Fig. 1) was consistent with this finding. To measure FM direction selectivity, we thus presented FM sweeps at a speed of 70 octaves/s in both upward and downward directions (duration 94 ms/sweep), and membrane potential responses were recorded under current clamp (Fig. 2A, D). We found that some neurons preferred upward (Fig. 2 A-C) and others preferred downward (Fig. 2D-F) FM stimuli. Direction selectivity index (DI) based on the spiking response is defined as (Pup − Pdown)/(Pup + Pdown), where P represents the spike rate within 120 ms from the sound onset after subtracting the baseline firing rate (Fig. 2B, E). After removing the spikes (see Materials and Methods), we measured direction selectivity of the subthreshold membrane potential responses based on the peak amplitude of depolarization. The DI of subthreshold responses showed the same sign as spiking responses (Fig. 2C, F). For this population of neurons in which both spiking and subthreshold responses were measured (n = 11), the DIs based on the spike rate and the subthreshold response were found to be highly correlated (cc = 0.59, p = 0.0004, see below, Fig. 7).
To examine whether the synaptic mechanisms illustrated in Figure 1 contribute to FM direction selectivity of A1 neurons, we next measured the excitatory and inhibitory conductances in each neuron under voltage clamp. To reduce the contamination from voltage-dependent Na+ channel conductance, we added QX-314 in the internal solution. Since QX-314 effectively blocked action potentials, DI was computed only from the subthreshold responses in these experiments. Supplemental Figure 2 shows the DI distribution of 46 cells recorded with QX-314 addition, in which 25 cells exhibited DI > 0.1 and 11 cells exhibited DI < -0.1.
To measure the excitatory and inhibitory conductances evoked by each stimulus (either tone pip or FM sweep), we repeated each stimulus for multiple times and recorded the synaptic currents under voltage clamp at two or three different holding potentials. Figure 3A shows the responses of an example cell evoked by a tone pip recorded at three holding potentials. The recorded current at each time point was plotted against the holding potential, and the linear fit was made for all the data points (Fig. 3B). The excitatory and inhibitory conductances (Fig. 3C) can be computed from the slope and the intercept of the linear fit (Borg-Graham et al., 1998; Wehr and Zador, 2003; Zhang et al., 2003; see Materials and Methods). In the following analyses, we focused on the stimulus-evoked change in each conductance, defined as the measure conductance minus the baseline conductance of a 50- ms period before stimulus onset.
To obtain the STRF of each synaptic input, we measured the excitatory and inhibitory conductances evoked by random tone pip stimuli and computed the STRF using reverse correlation (deCharms et al., 1998; Theunissen et al., 2000). Figure 4A shows the excitatory STRF of an example neuron. The latency of excitatory responses decreased systematically with the stimulus frequency (Fig. 4A; circles: peak responses at each frequency), suggesting that this neuron preferred upward FM sweeps (Fig. 1A-C). With linear convolution of the excitatory STRF and the FM stimuli, the predicted excitatory conductance changes evoked by FM sweeps appeared indeed larger for the upward sweep than the downward sweep (Fig. 4C). This could be attributed to different temporal alignments of the responses at different frequencies (supplemental Fig. 3). The recorded excitatory conductance change of this neuron evoked by the FM stimuli confirmed this prediction (Fig. 4D). The FM direction selectivity of this cell measured under current clamp (DI = 0.24) was also consistent with the prediction based on the excitatory STRF. For the population of neurons tested (n = 10), the correlation coefficient (cc) between the direction selectivity of the predicted excitatory conductance and that of the measured conductance (at the sweep rate of 70 octaves/s) was 0.37.
To quantify direction selectivity of the excitatory input due to the spectrotemporal profile of its STRF, we also performed Fourier transform of the STRF. As shown by the example neuron in Figure 4A, a STRF with shorter latency at higher frequencies exhibits higher amplitude in the first (upper right) and third (lower left) quadrants than that in the second and fourth quadrants of the Fourier spectrum (Fig. 4B). This asymmetry of the Fourier spectrum has been used extensively to predict neuronal direction selectivity (Adelson and Bergen, 1985; DeAngelis et al., 1993; Priebe and Ferster, 2005; see Materials and Methods). The population result of this analysis is shown in Figure 4E. The predicted DI of the excitatory input was highly correlated with the DI of the neuron measured with FM stimuli (cc = 0.59, p = 0.0001, n = 38). Together, these results suggest that differential latency of the excitatory input (Fig. 1A-C) contributes significantly to the FM direction selectivity of A1 neurons.
In contrast to the excitatory STRF shown in Figure 4A, the inhibitory STRF of the same cell did not show a consistent latency shift (Fig. 5A). As a result, the linear prediction of the inhibitory conductance changes was similar for upward and downward sweeps (Fig. 5C). This prediction was confirmed by the measured inhibitory conductance changes evoked by FM sweeps (Fig. 5D). The Fourier transform of the inhibitory STRF was also largely symmetric (Fig. 5B), predicting low direction selectivity of the inhibitory input. For the population of cells, the predicted DI of the inhibitory input based on Fourier transform was less correlated with the measured DI of the neurons (cc = 0.39, p = 0.02, n = 37; Fig. 5E).
We next tested whether asymmetric inhibition (Fig. 1D-F) contributes to direction selectivity. To obtain spectral tuning of excitatory and inhibitory inputs, we integrated each STRF over the period 10 - 70 ms after stimulus onset (Fig. 6A, between dashed lines). For the example neuron shown in Figure 6B, the inhibitory input was tuned to higher frequencies than the excitatory input. As shown in the linear prediction of the conductance changes evoked by FM stimuli (Fig. 6C, D, left columns), the onset of excitation preceded onset of inhibition for upward but not for downward sweeps (see Materials and Methods). This direction-dependent difference in onset latency was confirmed by the measured conductance changes evoked by FM sweeps (Fig. 6C, D, right columns). Such relative onset latency between excitation and inhibition predicts that this cell prefers the upward FM sweep. The DI (0.48) of this cell measured under current clamp was indeed consistent with this prediction. For the population of cells tested (n = 10), we measured the difference of the relative excitation/inhibition onset latency between the upward and downward sweeps. We found that such upward-downward difference from the predicted FM sound responses agreed well with that from measured responses (cc = 0.58), suggesting that the spectral offset between the excitatory and inhibitory tuning curves contributes to onset latency difference between the excitation and inhibition in FM responses.
To quantify the difference in spectral tuning between the excitatory and inhibitory inputs, we defined the spectral offset as the distance in the center of mass between the inhibitory and excitatory tuning curves (arrow heads, Fig. 6B). For the 29 cells with well-tuned excitatory and inhibitory inputs, we found a significant correlation between the spectral offset and the DI of the neuron measured with FM sweeps (cc = 0.43, p = 0.02). This result indicates that the spectral offset between excitation and inhibition also contributes to the FM direction selectivity of A1 neurons.
Note that the contribution of both the differential latency and the spectral offset to direction selectivity depends on the sweep rate. For the two cells shown in Figures 4--6,6, we predicted the excitatory and inhibitory conductance changes evoked by FM stimuli at a range of sweep rates based on the STRF of each input. As shown in supplemental Figure 4, the difference between the predicted responses to upward and downward FM sweeps diminished at very high sweep rates. To test how well the linear model incorporating both excitatory and inhibitory mechanisms can account for FM direction selectivity at various sweep rates, we used the predicted conductance changes to compute the synaptic currents measured at a holding potential of -70 mV, evoked by FM sounds at sweep rates ranging between 30 and 90 octaves/s (see Materials and Methods; supplemental Fig. 5). The DI based on the predicted responses was then compared with the measured DI of a population of cells in which a range of sweep rates were tested experimentally. We found that the predicted DI agreed well with measured DI at 50 octaves/s (cc = 0.56, p = 0.02) and 70 octaves/s (cc = 0.52, p = 0.03), less well at 30 octaves/s (cc = 0.41, p = 0.1), and very poorly at 90 octaves/s (cc = 0.002, p = 1). Thus, while the direction selectivity at 50 - 70 octaves/s are well accounted for by the linear model, the mechanisms may be much more nonlinear at much faster sweep rates.
Previous studies have shown that the spike threshold serves to sharpen the feature selectivity of visual cortical neurons, including orientation tuning and direction selectivity (DeAngelis et al., 1993; Emerson, 1997; Baker, 2001; Conway and Livingstone, 2003; Priebe and Ferster, 2005). We thus compared the FM direction selectivity of A1 neurons measured from the subthreshold membrane potential and from the spike rate (see Materials and Methods). As shown in Figure 7, the two measurements of DI are highly correlated, but the DI measured from spike rates was significantly stronger than that measured from subthreshold responses (cc = 0.59, p = 0.0004). Thus, the spike generation mechanism further sharpens direction selectivity in the auditory cortex.
In this study, we have measured the excitatory and inhibitory conductances to each A1 neuron and mapped their STRFs. We found that both the differential latency of excitatory input and the spectral offset between excitation and inhibition are correlated with direction selectivity of A1 neuron in response to FM sweeps. Thus, our results have provided direct evidence that the two circuit mechanisms that have been proposed for direction selectivity in general contribute to direction selectivity in A1 for FM sounds at a considerable range of sweep rates. Since direction selectivity is already present in earlier stages of the auditory pathway, including auditory thalamus (O'Neill and Brimijoin, 2002), inferior colliculus (Nelson et al., 1966; Gordon and O'Neill, 1998; Fuzessery et al., 2006), and possibly at even lower auditory nuclei (Gittelman et al., 2009), the two synaptic mechanisms in A1 together with the spike generation mechanism are likely to enhance direction selectivity of cortical neurons.
Extracellular recordings in cat and monkey A1 (Phillips et al., 1985; deCharms et al., 1998; Atencio et al., 2007) and in bat inferior colliculus (Andoni et al., 2007) showed that direction selectivity of neurons can be predicted by their STRFs. A recent study in bat auditory cortex suggested that direction selectivity may arise from facilitatory interactions between a pair of tones at particular spectral and temporal intervals (Razak and Fuzessery, 2008). These findings all point to the possibility that differential latencies of inputs tuned to different frequencies may contribute to direction selectivity, although the nature of synaptic inputs could not be ascertained from these studies using extracellular recordings. In the present work, separation of excitatory and inhibitory inputs revealed that the differential delay of the excitatory input is indeed well correlated with the FM direction selectivity (Fig. 4). Although the inhibitory STRF shows a similar tendency, the correlation with the neuronal direction selectivity is considerably weaker (Fig. 5). Thus, differential latency of the excitatory input seems to play a more important role in FM direction selectivity of A1 neurons. Spectrotemporally inseparable receptive fields have also been observed in the inferior colliculus (Langner et al., 1987; Andoni et al., 2007), and intracellular recordings showed that the responses to FM sweeps can be largely accounted for by temporal summation of postsynaptic potentials with different latencies (Voytenko and Galazyuk, 2007). Thus, the differential latency mechanism may operate in multiple stages of the auditory pathway to shape the neuronal FM direction selectivity. However, further studies are necessary to determine whether the differential latency in A1 originates from pre-cortical or intracortical connections. We also note that while the effect of differential latency on direction selectivity can be well illustrated by a simple linear model (Fig. 4 and supplemental Fig. 4), this does not exclude the contribution of nonlinear mechanisms to FM direction selectivity.
Many previous studies have suggested the role of asymmetric inhibitory sidebands in FM direction selectivity (Suga, 1965b; Suga, 1965a; Fuzessery and Hall, 1996; Gordon and O'Neill, 1998; Zhang et al., 2003; Razak and Fuzessery, 2006). While stimuli in these sidebands are known to suppress the spiking response evoked by an optimal stimulus, results from the extracellular recording experiments could not distinguish whether the suppression is mediated by the increase in inhibition or the reduction of excitation (Wehr and Zador, 2005). A recent study showed that local blockade of GABAA receptors in A1 reduced or eliminated direction selectivity in ~50% cells (Razak and Fuzessery, 2009), indicating that direction selectivity of some cortical neurons is significantly shaped by intracortical inhibition. Moreover, using whole-cell recording, Wu et al (2008) showed that the frequency tuning of inhibitory input was broader than that of excitatory input, which could serve to sharpen the frequency tuning of cortical neurons. The present study further indicates that for some A1 neurons the inhibitory inputs are asymmetric and such asymmetric sidebands of the inhibition contribute to FM direction selectivity, consistent with the finding of Zhang et al. (2003). A notable caveat is that our experiments were performed under pentobarbital anesthesia, which is known to affect GABAergic synaptic transmission. In future studies it would be important to determine the contribution of asymmetric inhibition to direction selectivity in awake animals. Asymmetric inhibition has also been suggested in direction selective neurons in the visual cortex (Livingstone, 1998). In the somatosensory cortex, direction selectivity was shown to emerge from a direction-dependent temporal shift between excitatory and inhibitory inputs (Wilent and Contreras, 2005), although it is unclear whether the latter is due to a spatial offset between excitation and inhibition.
In summary, we have characterized two features of the excitatory and inhibitory receptive fields of A1 neurons, which contribute to FM direction selectivity. These mechanisms, together with the spike generation threshold (Fig. 7) appear to shape direction selectivity in various sensory modalities along multiple stages of the neuronal pathways.
Figure S1. Direction selectivity index as a function of FM speeds. The DIs of each neuron were measured by subthreshold response to FM sound at various sweep rates. The averaged DIs are from 17 cells. Error bar: s.e.m.
Figure S2. Distribution of direction selectivity index measured by subthreshold responses to FM stimuli at the sweep rate of 70 octaves/s. The data are from 46 cells. The QX314 was added in the internal solution for this set of experiments.
Figure S3. Illustration of the procedure for predicting conductances for FM stimuli based on the excitatory STRF shown in Fig. 4A. A, Excitatory conductance at each frequency was shifted according to the sweep rate (70 octaves/s) for upward (left) and downward (right) FM sound. The onset time of FM sound is defined as 0. Circles: peak condutances. B, Conductance changes for upward and downward FM sounds predicted by summation of the shifted responses shown in A. Vertical dashed lines indicate the predicted peak conductance time.
Figure S4. Predicted conductances for FM sound at various sweep rates. A, B, Predicted results from the recorded neuron shown in Fig. 4A. A, Predicted excitatory conductance for FM sound at 32, 64 and 256 octaves/s, respectively, based on the excitatory STRF shown in Fig. 4A. B, The ratio of predicted excitatory conductances for upward and downward FM sounds vs. the FM sweep rates. C, D, prediction for the neuron shown in Fig. 6A. C, Predicted excitatory (Ge) and inhibitory (Gi) conductances in response to upward (top panel) and downward (lower panel) FM sounds at three sweep rates, based on the STRFs shown in Fig. 6A. Circles denote the onset time of predicted Ge and Gi. D, The relative excitation/inhibition onset latency for upward and downward FM sweeps vs. the sweep rates.
Figure S5. Prediction of sweep rate-dependent FM responses by a linear model incorporating excitatory and inhibitory mechanisms. A, B, The predicted (A) and actual (B) postsynaptic currents evoked by FM sounds at various sweep rates in one example neuron. Calibration: 10 pA, 100 ms. PSC: postsynaptic current. C, Summary results of comparison between DIs calculated from predicted and actual postsynaptic currents or potentials evoked by FM sounds at various rates (n = 17). The values of cc are 0.41, 0.56, 0.52, and 0.002 for FM sounds at 30, 50, 70, and 90 octaves/s, respectively.
This work was supported by grants from the Knowledge Innovation Program of the Chinese Academy of Sciences (KSCX2-YW-R-29) and the Major State Basic Research Program of China (2006CB806600). Y.D. and M.-m. P. were supported in part by grants from US National Institutes of Health.