Abstract
The primate visual system consists of parallel pathways initiated by distinct cell types in the retina that encode different features of the visual scene. Small bistratified cells (SBCs), which form a major projection to the thalamus, exhibit blue-ON/yellow-OFF [S-ON/(L+M)-OFF] light responses thought to be important for high-acuity color vision. However, the spatial processing properties of individual SBCs and their spatial arrangement across the visual field are poorly understood. The present study of peripheral primate retina reveals that contrary to previous suggestions, SBCs exhibit center-surround spatial structure, with the (L+M)-OFF component of the receptive field ∼50% larger in diameter than the S-ON component. Analysis of response kinetics shows that the (L+M)-OFF response in SBCs is slower than the S-ON response and significantly less transient than that of simultaneously recorded OFF-parasol cells. The (L+M)-OFF response in SBCs was eliminated by bath application of the metabotropic glutamate receptor agonist l-APB. These observations indicate that the (L+M)-OFF response of SBCs is not formed by OFF-bipolar cell input as has been suspected and suggest that it arises from horizontal cell feedback. Finally, the receptive fields of SBCs form orderly mosaics, with overlap and regularity similar to those of ON-parasol cells. Thus, despite their distinctive morphology and chromatic properties, SBCs exhibit two features of other retinal ganglion cell types: center-surround antagonism and regular mosaic sampling of visual space.
Introduction
A unifying principle of sensory systems is the existence of parallel pathways conveying distinct information from peripheral sensory organs to distinct targets in the brain. In the primate visual system, 17–22 anatomically defined types of retinal ganglion cells (RGCs) project to distinct brain areas (Dacey, 2004; Yamada et al., 2005; Field and Chichilnisky, 2007). One RGC type, the small bistratified cell (SBC), carries chromatic information densely sampled across the visual field (Dacey, 1993a; Dacey and Lee, 1994; Ghosh et al., 1997). SBCs exhibit an excitatory response to increments of absorbed light in the short-wavelength-sensitive (S) cone photoreceptors, and decrements of absorbed light in middle-wavelength-sensitive (M) and long-wavelength-sensitive (L) cones. This generates a signal appropriate for the perception of bluish and yellowish hues, a fundamental aspect of color vision (Wandell, 1995; Dacey and Packer, 2003). However, the spatial receptive field properties of SBCs, and their spatial arrangement across the visual field, are largely unknown or controversial.
First, recordings from unidentified blue-yellow opponent neurons (Wiesel and Hubel, 1966; de Monasterio, 1978a,b) suggest that regions of blue-ON and yellow-OFF sensitivity are often spatially coextensive, producing a chromatic signal without the center-surround antagonism classically associated with RGCs (Kuffler, 1953). This receptive field structure could arise from the distinct inner and outer stratifying dendrites of SBCs respectively making contacts with S-ON and (L+M)-OFF bipolar cells. This proposed circuit differs from the horizontal cell mediated feedback that contributes to center-surround antagonism in other RGC types (Werblin and Dowling, 1969; Mangel, 1991; McMahon et al., 2004). However, blue-yellow opponent cells exhibiting more standard center-surround antagonism have also been observed (Wiesel and Hubel, 1966; de Monasterio, 1978a,b; Derrington and Lennie, 1984). Thus, it remains unclear whether the receptive field structure and the underlying circuitry of SBCs are similar to those of other RGC types.
Second, the collective spatial sampling properties of SBCs have not been investigated. Morphological and physiological studies in several species suggest that each RGC type constitutes a complete visual representation, with dendritic and receptive fields forming uniform mosaics that tile visual space (Wassle et al., 1981; Dacey, 1993b; DeVries and Baylor, 1997; Chichilnisky and Kalmar, 2002; Frechette et al., 2005). However, recent findings in salamander retina suggest that functional mosaic organization may be a property of only certain RGC types (Segev et al., 2006). Thus, determining the ensemble spatial arrangement of SBC receptive fields will reveal fundamental properties of a major chromatic pathway in the primate visual system and provide a test of the generality of mosaic organization.
This study exploits a large-scale multielectrode recording system (Litke et al., 2004; Frechette et al., 2005) to reveal the spatial receptive field and ensemble sampling properties of SBCs in peripheral primate retina (25–70 deg). Despite distinct chromatic properties and morphology, SBCs resemble other RGC types in two major respects: center-surround antagonism and mosaic sampling of the visual scene.
Materials and Methods
Preparation and recording methods were described previously (Chichilnisky and Kalmar, 2002; Litke et al., 2004; Frechette et al., 2005). Eyes were enucleated from terminally anesthetized macaque monkeys (Macaca mulatta) used by other experimenters in accordance with institutional guidelines for the care and use of animals. Some animals, in the course of other experiments, had been infected with SIV (simian immunodeficiency virus), some had received doses of ethanol or MDMA (3,4-methylenedioxy-N-methylamphetamine), some had received focal injections of a modified rabies virus in the brain, and some were healthy controls. No systematic differences in retinal physiology were observed in the different populations. No animals displayed obvious behavioral visual deficits.
Immediately after enucleation, the anterior portion of the eye and vitreous were removed in room light. The eye cup was placed in a dark, sealed container with bicarbonated Ames' solution (Sigma, St. Louis, MO) at room temperature. In some experiments, the retinas were transported to the laboratory and thus were kept at room temperature for 15–20 min. Retinas were then warmed to 32–34°C, pH 7.4, in oxygenated Ames' solution. Recordings were begun only after the retina had dark adapted at this temperature for at least 20 min. Under infrared illumination, segments of peripheral retina 6–15 mm (25–70 deg, ∼223 μm/ deg) (Perry and Cowey, 1985; Drasdo and Fowler, 1974) from the fovea and 3–5 mm in diameter were dissected and isolated from the retinal pigment epithelium. These segments were taken from regions where the retina was strongly attached to the pigment epithelium, to ensure pigment regeneration after enucleation and vitrectomy. The segment of retina was then placed flat, RGC layer down, on a planar array of 512 extracellular microelectrodes covering an area 1800μm × 900 μm. For recording, the retina was kept at 33–35°C and was perfused with Ames' solution bubbled with 95% O2 and 5% CO2, pH 7.4.
Recording and spike sorting
Voltage signals on each electrode were bandpass filtered, amplified, digitized (20 kHz), and stored for off-line analysis (Litke et al., 2004). Candidate spikes on each electrode were identified using a threshold equal to four times the SD of the voltage over time. For each threshold crossing, a waveform vector was constructed using voltage values within a time window (−0.5 to 0.75 ms) around the threshold crossing, along with the simultaneous voltage values from six adjacent electrodes. The waveform vectors were represented as points in a five-dimensional space using the first five principal components (PCs) from principal components analysis (PCA) (Jackson, 1991). These points were separated into distinct clusters using a mixture of Gaussians model fitted with expectation maximization (Duda et al., 2001). The initial conditions and number of clusters were determined automatically using an adapted watershed transformation (Castleman, 1996; Roerdink and Meijster, 2001). Resulting clusters were interpreted to represent spike trains from different cells, subject to two conditions: <10% contamination (estimated from refractory period violations 0.5–1.0 ms after a spike) and an average spike rate ≥1 Hz. Note that 64 ± 13% (63 ± 8%) of SBCs (ON-parasol cells) exhibited estimated contaminations of zero across preparations. For cells with nonzero contamination, the mean of the estimated spike contamination was 3.0 ± 0.4% (SD) for SBCs and 2.5 ± 1.0% for ON-parasol cells.
Most RGCs produced threshold crossing events on multiple electrodes and thus were identified multiple times. To remove these duplicates, candidate neurons were checked for time correlations in a 10 ms window. If any two candidate neurons exhibited >25% of spikes correlated in time, they were considered duplicates, and only the one with the larger number of spikes was kept. The 25% threshold was used because duplicate neurons often exhibited <100% correlation as a consequence of spikes that failed to be identified on one or more electrodes. Mosaic organization was not influenced by the choice of correlation threshold, and the number of cells found was stable when the threshold was varied from 10 to 50% (supplemental Fig. 1, available at www.jneurosci.org as supplemental material).
Stimuli
An optically reduced stimulus from a gamma-corrected cathode ray tube computer display (Multiscan E100; Sony, Tokyo, Japan) refreshing at 120 Hz was focused on the photoreceptor outer segments. Low photopic intensity was achieved by neutral density filters in the light path. The mean photon absorption rate for the L, M, and S cones was approximately equal to the rate that would have been caused by a spatially uniform monochromatic light of wavelength 561 (530, 430) nm and intensity of 4400 (4300, 2200) photons/μm2/s or 1630 (1590, 810) photoisomerizations/cone/s (0.37 μm2 cone collecting area) (Schnapf et al., 1990).
White noise stimulus.
A stimulus composed of a lattice of squares, each flickering randomly and independently at either 30 or 120 Hz, was used to characterize the spatiotemporal response properties of recorded RGCs (Chichilnisky, 2001). The sizes of individual squares (henceforth, pixels) varied from 23.2 to 116 μm on a side. For comparison, average SBC and parasol cell receptive field diameters varied from 80 to 220 μm across preparations. The intensity of each display phosphor at each pixel location varied in a binary manner; i.e., it assumed one of the two specified values on each refresh (see below).
RGB white noise.
To study how populations of RGCs sample visual space, a white noise stimulus was used where the intensities of the three display phosphors at each pixel location varied independently of one another (henceforth, RGB white noise). The contrast of this stimulus for each of the three display phosphors was 98% (SD of modulation divided by mean intensity).
S versus L+M white noise.
In some experiments (see Figs. 2⇓–4), an S versus L+M cone-isolating stimulus was used (henceforth, S versus L+M white noise). This stimulus modulated S cone absorptions at each pixel location independently from L and M cone absorptions (Estevez and Spekreijse, 1982); L and M cone absorptions were modulated together. Cone spectral sensitivity was taken from Schnapf et al. (1988). Display phosphor emission spectra were measured through the optical elements between the display and the retina with a spectraradiometer (PR-701; Photo Research, Chatsworth, CA). The effective contrast of the stimulus for each cone type was 44%. To estimate the quality of cone isolation, “filter-isolating” stimuli were generated for three sets of glass filters, with spectral properties similar to the spectral sensitivities of the cones (L: Oriel59500 and Schott BG-40; M: Schott VG-9; S: Oriel 59814 and Oriel 59080) (Chichilnisky and Baylor, 1999). The power of transmitted light through each filter set with each filter-isolating stimulus was measured using a calibrated photodiode (UDT Instruments, San Diego CA). Stimuli intended to isolate each filter group yielded photodiode power measurement ratios in excess of 50:1 in the isolated compared with the nulled filter set. This indicates accurate spectral calibration and cone isolation.
RGC receptive field characterization
The spatial, temporal, and chromatic receptive field properties of the recorded RGCs were characterized using the spike-triggered average (STA) stimulus during white noise presentation (Rieke et al., 1997; Chichilnisky, 2001). The receptive field structure of each SBC was summarized by fitting the STA with a model consisting of the product of a spatial profile and a temporal profile for each chromatic component (Chichilnisky and Kalmar, 2002). The temporal profile was a difference of low-pass filters. The spatial profile consisted of two-dimensional Gaussian functions.
The experiments of Figure 2 used an S versus L+M cone-isolating stimulus. One two-dimensional Gaussian function was fitted to the S-ON receptive field component and another to the (L+M)-OFF component. For Figures 5⇓⇓–8, some data were collected with S versus L+M white noise and others were collected with RGB white noise. Analysis of these data were performed by fitting the S cone-isolating component of the receptive field, or the blue display phosphor component, with a two-dimensional Gaussian. No systematic differences were observed in the two types of analysis.
The spatial sensitivity profile of each ON-parasol cell receptive field was obtained by fitting the spatial component of the STA with a difference of Gaussians model, because the center could not be chromatically distinguished from the surround. For the S versus L+M stimulus, the L+M response component was fitted. For RGB stimuli, the fit was applied to the entire STA. Parasol cell surrounds were relatively weak, so the following procedure was used to robustly estimate the surround amplitude and size. Receptive fields from all ON-parasol cells in a recording were shifted and summed to generate an average STA spatial profile. This average was well described by a fit in which the radius of the surround was twice that of the center. Thus, an initial two-dimensional Gaussian was fitted to the STA of each cell, generating a rough estimate of receptive field center location and size. Then a surround with a radius twice that of the center was introduced, and the fit was reoptimized, while keeping the ratio between surround and center sizes fixed.
The robustness of fits was checked by varying the initial SD of the two-dimensional Gaussian fit over a factor of four. Cells with noisy STAs and unstable fits were excluded. Fit precision was estimated using the following bootstrap method. For each cell, n spikes were sampled with replacement from the original spike train containing n spikes. The STA based on the resampled spikes was fitted as described above. This procedure was repeated 10 times. The SD of the resulting distribution of fit parameters obtained by bootstrapping was used to estimate the SE of the fit parameters. In Figure 2E, the displacement between S-ON and (L+M)-OFF components of each receptive field was normalized by the geometric mean of the SE associated with center and surround fits. The square root of the value corresponding to a significance threshold at p = 0.05 or p = 0.001 from a χ2 distribution with two degrees of freedom was used to draw the confidence regions (circles).
Bias in estimates of receptive field size and shape can be produced by large stimulus pixels. In each preparation, STAs were measured with several pixel sizes in the range 23.2–116 μm (mean receptive field diameter varied between 80 and 220 μm across preparations). In 24 of 32 preparations, the estimated receptive field size did not vary significantly with pixel size. In the remaining preparations (those with the smallest receptive fields), a bias as large as 15% was observed using the largest pixels. In these preparations, pixels 58 μm or smaller were used for receptive field size estimates.
For all fits, the location of the Gaussian fit midpoint, the SDs along the major and minor axes, and the angle of the major axis were extracted. These parameters defined an ellipse for each cell that represents the 1 SD contour of the Gaussian fit. In figures, receptive field outlines are represented using this contour. In figures and analysis, the size of the receptive field is summarized by the geometric mean of the SDs along the major and minor axes (equivalently, the radius of a circle with an area equal to that of the 1 SD contour).
Cell classification and identification
The morphological types of recorded cells were determined using a two-step procedure. First, cells were grouped into functional cell classes based on their light response properties. Second, correspondences between functional classes and anatomical types were determined by density and light response properties.
Classification.
A typical example of the functional classification obtained from one recording is illustrated in Figure 1. The STA time courses from all cells were represented in a two-dimensional space using PCA. Figure 1B shows the weights of the first two PCs for the cells in this recording. In the scatter plot, each cell is represented by a point with a location that reflects the shape of the STA time course. Points from a few presumed wide-field RGCs were excluded based on their large receptive field sizes (more than twice as large as parasol cells). The PC plot shows five well defined clusters in this recording, each of which was taken to represent a single functional class. Three distinguishing physiological features of each functional class are shown in Figure 1, A and C–F: (1) the STA time courses; (2) the receptive field sizes; and (3) the spike train autocorrelation functions. Although the functional classes were defined using STA time course information, the cells of each class exhibited a striking homogeneity of receptive field sizes and autocorrelation functions. This homogeneity suggests that the clusters corresponded to irreducible functional cell classes.
Parasol cell identification.
The classes in Figure 1, A and C, were identified as parasol cells as described previously (Chichilnisky and Kalmar, 2002). Briefly, the identification was based on receptive field sizes, contrast gain, and response kinetics compared with published data (Croner and Kaplan, 1995; Dacey et al., 1996; Lee, 1996). In addition, parasol cell density in locally complete regions of the receptive field mosaic was found to be similar to that from anatomical studies (Silveira and Perry, 1991).
Midget cell identification.
The functional classes in Figure 1, D and F, were identified as ON- and OFF-midget cells by comparison to parasol cell density, receptive field size, and light response kinetics. In the peripheral retina, ON- and OFF-midget cells are the only RGC types with systematically smaller dendritic fields and higher cell density than parasol cells (Dacey, 2004). In recordings with a sufficient number of isolated cells to measure density, midget cell receptive fields were approximately one-half the size of parasol cell receptive fields, and midget cell density was approximately fourfold greater than parasol cell density. In these preparations, midget cells exhibited consistently slower kinetics and more sustained responses, as expected (Lee, 1996). The sparsity of midget cells observed in Figure 1, D and F, is likely attributable to poor spike detection efficiency rather than sparse midget cell populations.
SBC identification.
All recordings in this paper contained a functional cell class with S-ON/(L+M)-OFF responses like that in Figure 1E. These cells were identified as SBCs based on receptive field size, kinetics, and density. Only two anatomical types of RGCs are known to have S-ON/(L+M)-OFF responses (Dacey et al., 2003): SBCs and large bistratified cells (LBCs). SBC density has been measured only in temporal retina, where parasol cells (ON and OFF together) are approximately three times as dense as SBCs (Silveira and Perry, 1991; Dacey, 1993b). LBCs, on the other hand, are less than half as dense as SBCs (Dacey, 2004), indicating that total parasol density is at least six times the LBC density. In recordings from temporal retina, the mean ratio of parasol cell density to putative SBC density was 2.9, confirming that these cells were SBCs rather than LBCs. Furthermore, no other known RGC type has this density relationship to parasol cells (Dacey et al., 2003; Dacey, 2004). The extrapolation of SBC identity to the nasal retina was based on homogeneity (low variability and unimodality) of functional properties within and across preparations. This homogeneity was tested by comparing the time courses and receptive field sizes of putative SBCs to those of simultaneously recorded ON-parasol cells. The ratio of the time to peak of putative SBCs to that of ON-parasol cells across preparations was 1.12 ± 0.02 (mean ± SD). The ratio of receptive field sizes across preparations was 1.1 ± 0.2. The latter values are consistent with the ratio of dendritic field sizes of SBCs to those of parasol cells (Dacey, 1993a). If the putative SBCs were composed of two distinct cell types (e.g., SBCs and LBCs), a bimodal distribution of one or both functional properties might have been expected. Across all preparations in nasal and temporal retina, the distributions of both the time to peak and receptive field size of putative SBCs relative to those of ON-parasol cells were unimodal. In summary, the homogeneity of receptive field sizes and kinetics suggests that putative SBCs comprised a single cell type, and cell densities in temporal retina establish this type to be small bistratified.
l-APB experiment
For the experiment measuring the effect of l(+)-2-amino-4-phosphonobutyric acid (l-APB) on SBC receptive fields, three data runs were taken, each 15 min long using an S versus L+M white noise stimulus with a refresh rate of 30 Hz and a pixel size of 92.8 μm. The “pre-APB” condition was recorded under normal conditions (oxygenated Ames' solution) and was used to identify, characterize, and classify RGCs. The retina was then perfused with oxygenated Ames' solution and 100 μm l-APB for 20 min, 5 min for the l-APB to wash in and 15 min of recording time. After completion, the “wash” condition began. Five minutes were allowed for the l-APB to wash out, followed by 15 min of data collection.
Neuron definitions from the first run were applied to the subsequent runs as follows. The five PCs derived from spike waveforms in the pre-APB condition were used to reduce the dimensionality of spike waveforms from the subsequent “APB” and “wash” conditions. The mixture of Gaussians model from the pre-APB condition was applied to the subsequent recordings. Because the spike waveforms of some cells changed slightly, causing the cell definition to be contaminated, only neurons that retained <5% contamination and that exhibited similar receptive fields before and after l-APB application were analyzed further.
Responses in the presence and absence of l-APB were compared using the spike-triggered sum (STS), which is computed similarly to the STA, except for the absence of normalization by the total number of spikes. The STS was used because it is robust to changes in spontaneous firing rate, a possible effect of l-APB. Spontaneous spikes do not affect the STS, because they are not correlated with the stimulus. Spontaneous spikes do affect the STA amplitude, because they are included in the normalization. For each cell, stimulus pixels with a significant signal in the STS (>3 SDs above noise) were selected, and their time courses were averaged. The averaged time course before application of l-APB was used as a template and compared with the time course averaged across the same pixels during and after application of l-APB. The comparison was performed by computing the inner product of the “pre-APB” time course, expressed as a vector, with the “APB” and “wash” time courses, divided by the inner product of the former with itself. An unchanged time course would produce a normalized inner product value of one. Complete elimination of the light response would produce a value of zero.
Characterization of mosaic regularity and coverage
Mosaic regularity.
Regularity of SBC receptive field spatial sampling was demonstrated by comparing the nearest neighbor distance (NND) distribution of receptive field centers to that expected from a random distribution: p(r) = 2πλr exp(−λπr2), where r is the distance between points and λ is the density (Wassle and Riemann, 1978). Quantitative comparison was performed using a one-sample Kolmogorov–Smirnov (K–S) test of measured NNDs with the analytical function given above.
Conformity ratio.
The conformity ratio (CR; mean/SD) of the nearest neighbor distribution has been used extensively in quantifying the regularity of anatomical mosaics (Wassle and Riemann, 1978; Wassle et al., 1981; Young and Vaney, 1991; Dacey, 1993b; Cook, 1996; Massey and Mills, 1996; Haverkamp and Wassle, 2004). To compare the CR of receptive field mosaics with that of anatomical mosaics required an estimator of the CR that was robust to subsampling and edge effects, errors that can lead to a downward bias (Cook, 1996). Therefore, the CR estimate was based on the NNDs of cells in locally complete parts of the observed mosaics, where local completeness was defined as the presence of at least four neighbors around each reference cell. A natural definition of neighbor relationships for any set of points on the plane is Delaunay triangulation (Shapiro et al., 1985; Zhan and Troy, 2000). If two neighbors in the Delaunay triangulation of an observed (possibly incomplete) mosaic appeared to have been neighbors in the underlying real mosaic, the cells were considered neighbors. This decision was based on the distance between cells: any neighbors closer than 1.7 times the median NND were identified as true neighbors. This threshold was chosen to reflect the variability of true neighbor distances observed in regions of the mosaic that appeared complete by visual inspection. The above procedure provided CR estimates with low bias (5–10%) that was constant when complete mosaics were subsampled by as much as 50%. CR estimates generated by the above procedure were also compared with CR estimates based on all cells from mosaics that were >90% complete. These two estimates of the CR differed by <10%, and the difference was not systematic.
Normalized nearest neighbor distribution.
RGC coverage is usually defined as the average number of cells sampling any given point in visual space, based on anatomical measurements of dendritic field extent. In the case of receptive fields approximated by Gaussian fits, the extent is ill-defined. To analyze receptive field overlap, a normalized nearest neighbor distance (NNND) measure was developed. For a given cell, the NNND is given by 2R/(σ1 + σ2), where R is the distance between the centroid of the Gaussian fit to the receptive field and that of the nearest neighbor in the mosaic, and σ1 and σ2 are SDs of the fits measured along the line connecting the centroids. Thus, the NNND for a cell with a 1 SD contour that abuts the 1 SD contour of its nearest neighbor is 2. Note that NNND is large when overlap is small, and vice versa. This representation has the advantages of being closely related to a standard anatomical measure (NND) and allowing for standardized comparison of overlap in different cell types.
Results
To probe the receptive field structure of individual SBCs and their spatial organization across the visual field, multielectrode recordings were obtained from peripheral pieces of macaque monkey retina in the presence of a white noise stimulus (Chichilnisky and Baylor, 1999; Litke et al., 2004). In a typical recording, spikes from several hundred RGCs were isolated, and their light response properties were characterized using reverse correlation with the stimulus. SBCs and parasol cells were identified based on response properties and density (Fig. 1) (see Materials and Methods).
Center-surround receptive field structure
Previous studies of RGCs with blue-ON/yellow-OFF (henceforth, S-ON/(L+M)-OFF) chromatic sensitivity have reported two distinct types of receptive field structure: type I, in which the S-ON component forms the center and the (L+M)-OFF component forms the surround; and type II, in which the two components are spatially coextensive (Wiesel and Hubel, 1966; de Monasterio, 1978a,c; Derrington and Lennie, 1984). It is often assumed that SBCs are type II cells (Dacey, 1996; Rodieck, 1998), but this hypothesis has not been tested directly.
Coextensive receptive fields must have the same size and must be centered at the same location (Wiesel and Hubel, 1966). To test for these criteria, the retina was stimulated with spatiotemporal white noise that modulated S cones independently from the combined modulation of L and M cones (see Materials and Methods). The spatiotemporal receptive field of each SBC was estimated by computing the STA stimulus (see Materials and Methods). This technique allowed the spatial profile and time course of the S-ON response to be separated from that of the (L+M)-OFF response (Reid and Shapley, 2002).
Figure 2A shows an example SBC receptive field, with the spatial profiles of the S-ON and (L+M)-OFF response components shown combined and separately. Also shown are the time courses of the two response components. The spatial profile of each component was fitted with a two-dimensional Gaussian (Fig. 2A, insets) (see Materials and Methods). For this cell, the spatial extent of the S-ON response component is clearly smaller than that of the (L+M)-OFF response component. Figure 2B shows the spatial profiles of the S-ON and (L+M)-OFF responses for 44 simultaneously recorded SBCs in one preparation. The majority of cells in this preparation exhibited a smaller S-ON than (L+M)-OFF receptive field. This is summarized in Figure 2C, which shows the radius of the S-ON region and the (L+M)-OFF region on a cell-by-cell basis. The radius is that of the circle with an area equal to the area enclosed by the 1 SD contour of the Gaussian fit (see Materials and Methods). There was no indication of bimodality in the distribution of radii, implying that SBCs are not composed of type I and type II cells. Figure 2D shows the mean S-ON radius and the mean (L+M)-OFF radius in seven preparations (252 SBCs). On average, the (L+M)-OFF radius was 48% larger than the S-ON radius; equivalently, the area was 2.2-fold larger.
Inspection of Figure 2B suggests that the S-ON and (L+M)-OFF components of the SBC receptive field may be spatially offset. To test this quantitatively, the spatial offset between the Gaussian fits to the two components was computed and plotted (Fig. 2E) relative to the confidence regions associated with uncertainty in the fits (p = 0.05 black, p = 0.001 gray; see Materials and Methods). A majority of the data fell well outside these confidence regions, indicating statistically significant offsets between the two components of the receptive field for many cells. The mean offset in this preparation was 34% of receptive field center radius (22 μm), comparable with the magnitude of offsets previously observed for midget cells (Lee et al., 1998).
Combined, the results illustrated in Figure 2 indicate that SBCs are unlikely to be the type II S-ON/(L+M)OFF cells reported previously (Wiesel and Hubel, 1966; de Monasterio, 1978a,c; Dacey, 1996, 2000). Instead, peripheral SBCs exhibit center-surround antagonism, with the S-ON component comprising the center and the (L+M)-OFF component comprising the surround.
The (L+M)-OFF response is slower than the S-ON response
A hypothesized origin of the (L+M)-OFF signal in SBCs is that OFF-bipolar cells transmit L and M cone signals to SBC outer dendrites in the outer sublamina of the inner plexiform layer (Dacey and Lee, 1994; Calkins et al., 1998; Rodieck, 1998). However, the size discrepancy shown in Figure 2 raises the possibility that the (L+M)-OFF component of the SBC receptive field, like the surround of parasol cells (McMahon et al., 2004), might instead be mediated by negative feedback from horizontal cells that collect inputs from cones over a large region (Dacey et al., 1996; Dacey, 2000; Packer and Dacey, 2002). The feedback would be expected to act on S cones, endowing them with a surround. This center-surround structure would then propagate through S-ON bipolar cells, which contact the inner dendrites of SBCs (Kouyama and Marshak, 1992; Calkins et al., 1998; Dacey et al., 2000; Herr et al., 2003). In this scenario, the (L+M)-OFF signal would be expected to be slower than the S-ON signal because of the additional synapse and propagation time involved in horizontal cell feedback.
Figure 3A shows the S-ON and (L+M)-OFF response time courses for SBCs in three preparations. Time courses were obtained by averaging the STA over spatial locations at which the peak modulation amplitude was at least three times the SD of the noise; the noise was estimated from frames of the STA corresponding to times after the spike. For quantitative characterization, response time courses were fitted with a difference of low-pass filters (Chichilnisky and Kalmar, 2002) (Fig. 3B). Three quantities were extracted from these fits, each of which captures a different aspect of light response dynamics under the assumption that the cell integrates information linearly over time. First, the time to peak of the STA provides a measure of response latency. The time to peak of the (L+M)-OFF time course in SBCs was delayed relative to that of the S-ON time course by 18.2 ± 1.4 ms (mean ± SD; 35% relative delay) (Fig. 3C, left). Second, the time to zero of the STA indicates the time of maximum response to a step change in illumination. The time to zero of the (L+M)-OFF component was delayed relative to the S-ON component by 31.4 ± 3.9 ms (41% relative delay) (Fig. 3C, middle). Third, the degree of transiency indicates the fractional return to baseline response after a step change in illumination. It is given by 1 − (S/Sabs), where S is the integral of the fitted time course, and Sabs is the integral of its absolute value. The degrees of transiency of the S-ON and (L+M)-OFF response components were statistically indistinguishable. The similar degree of transiency and the ∼40% increase in time to peak and time to zero imply that the major difference between the two response components is that the latter is expanded in time. This is consistent with the hypothesis that the SBC surround is mediated by horizontal cell feedback.
Comparison of response kinetics in parasol cells and SBCs provides further indirect evidence of horizontal cell involvement. The degree of transiency of RGC responses is thought to be established largely at the synapse between cones and bipolar cells, with transient (sustained) bipolar cell types feeding transient (sustained) RGC types (Awatramani and Slaughter, 2000; DeVries, 2000; DeVries et al., 2006). Anatomical studies have revealed that two diffuse OFF-bipolar cell types (DB2 and DB3) contact SBCs (Calkins et al., 1998); these bipolar cell types also provide the major input to OFF-parasol cells (Jacoby et al., 2000; Bordt et al., 2006). Therefore, if the DB2 and DB3 bipolar cells (rather than horizontal cell feedback) mediate a substantial component of the (L+M)-OFF surround in SBCs, one might expect a similar degree of transiency in SBC (L+M)-OFF and OFF-parasol responses. Contrary to this prediction, Figure 3C (right) shows that the degree of transiency of the (L+M)-OFF response of SBCs is substantially smaller than that of simultaneously recorded OFF-parasol cells. This suggests that OFF-bipolar cells do not mediate a major component of the (L+M)-OFF response in SBCs.
The (L+M)-OFF surround is eliminated by l-APB
The above results on the spatial and temporal properties of SBC receptive fields provide circumstantial evidence that horizontal cells, rather than OFF-bipolar cells, mediate the (L+M)-OFF response. A direct test of OFF-bipolar cell involvement is to bath apply the group III metabotropic glutamate receptor (mGluR) agonist l-APB (see Materials and Methods). l-APB blocks synaptic transmission from cones to ON-bipolar cells but not OFF-bipolar cells (Slaughter and Miller, 1981) (see Discussion). Thus, if OFF-bipolar cells provide the (L+M)-OFF input to SBCs, l-APB should eliminate the S-ON response and preserve the (L+M)-OFF response.
The results of this experiment in a single recording of 22 SBCs and 142 OFF-parasol cells are shown in Figure 4. The average time course and change in response amplitude are shown for the SBC S-ON, SBC (L+M)-OFF, and (for control purposes) OFF-parasol cells. As expected, the S-ON component of SBC responses was eliminated in the presence of l-APB (Fig. 4A,B). Surprisingly, the (L+M)-OFF response was also eliminated (Fig. 4C,D). In contrast, OFF-parasol cells showed no change in response kinetics with l-APB, but did show a statistically significant increase in response amplitude (Fig. 4E,F). This increase is probably the result of blocking inhibition to OFF RGCs provided by the ON pathway (Zaghloul et al., 2003; Margolis and Detwiler, 2007). Similar results were obtained in a second preparation: the SBC S-ON and (L+M)-OFF response was reduced to <1% of original amplitude (seven cells), and OFF-parasol cell response amplitude increased by 30 ± 5% (50 cells).
These results indicate that OFF-bipolar cells provide little if any functional input to SBCs in the present conditions. In the discussion, it is proposed that SBCs receive dominant L+M cone input via H2 horizontal cell feedback (Dacey, 2000; Herr et al., 2003; Schein et al., 2004).
Mosaic organization of receptive fields: regularity, size, and overlap
Encoding of the visual scene is determined not only by the receptive field properties of individual cells, but also by how regularly and completely the entire collection of cells samples visual space. Previous anatomical and physiological work indicates that at least some types of RGCs form orderly mosaics that regularly and uniformly cover the surface of the retina (Wassle and Riemann, 1978; Dacey, 1993b; DeVries and Baylor, 1997; Chichilnisky and Kalmar, 2002; Frechette et al., 2005) (but see Segev et al., 2006). However, the mosaic organization of SBC receptive fields has been neither established nor characterized.
Figure 5 shows collections of SBC receptive fields recorded simultaneously in six preparations. The ellipses in each panel show the 1 SD contours of Gaussian fits to the S-ON receptive field component (see Materials and Methods). The rectangles represent the outline of the electrode array. Visual inspection suggests that the receptive fields of SBCs recorded in each preparation form an orderly mosaic: a random distribution of receptive fields would be expected to exhibit substantial overlap and gaps not observed in the data (see below). For two preparations, the receptive fields of simultaneously recorded ON-parasol cells are also shown. ON-parasol cells have been shown to exhibit regular mosaic organization in previous anatomical and physiological studies (Dacey, 1993b; Chichilnisky and Kalmar, 2002; Frechette et al., 2005).
To test SBC mosaic organization quantitatively, the regularity of receptive field spacing was compared with that expected of random spacing. Spacing was measured by computing the NND for each cell in the mosaic (Wassle and Riemann, 1978). The NND is the distance between the centroids of the Gaussian fits to the receptive field of the reference cell and that of its nearest neighbor. The distribution of NNDs for all SBCs in a single recording is shown in Figure 6A. The data reveal that the typical spacing between cells in this preparation is ∼135 μm. Notably lacking, however, are pairs of cells spaced by <60 μm. This local exclusion is a signature of mosaic organization. The smooth curve in the figure represents the distribution of NND values for a randomly distributed collection of receptive fields with matching density (see Materials and Methods). As expected, the random distribution includes a much broader range of cell spacings. The inset in Figure 6A shows the observed receptive field mosaic and a collection of randomly placed receptive fields. The random placement produces substantial overlap and gaps, features absent in the data (Fig. 5). For each of the 18 preparations tested, the difference between the observed and random NND distributions was significant (p < 0.0001; K–S test, see Materials and Methods).
Three basic properties of mosaic organization characterize the population sampling of the visual scene: regularity of receptive field spacing, regularity of receptive field size, and receptive field overlap. Each of these features may influence the spatial resolution and reliability of the visual representation (Zhang and Reid, 2005). Below, these properties are quantified for SBC receptive field mosaics and compared with those of ON-parasol cells.
Spacing
The spacing regularity of each mosaic was quantified by computing the CR (mean/SD) of the NND distribution. A high CR indicates regular spacing (Wassle and Riemann, 1978; Cook, 1996). To avoid biases in the estimation of CR, cells in the mosaic abutting substantial gaps were excluded (see Materials and Methods). For the distribution in Figure 6A, the CR was 5.9. ON-parasol cells provide a natural comparison for the regularity of SBC mosaic organization. The distribution of NNDs for ON-parasol cells recorded simultaneously with the SBCs of Figure 6A is shown in the same panel. The CR of the observed data is 7.7. The CRs for SBCs and ON-parasol cells simultaneously recorded in 18 preparations are shown in Figure 6B. Although the CRs varied considerably across preparations, on average the two cell types exhibited similar mosaic regularity, with a CR of 7.3 ± 0.4 (mean ± SE) for SBCs and a CR of 7.6 ± 0.4 for ON-parasol cells. A comparison of these physiological CRs with anatomically measured CRs of other retinal cell types is included in the Discussion.
Size
Although the spacing regularity of SBCs is similar to that of ON-parasol cells, the variation in size of individual receptive fields appears to be larger for SBCs (Fig. 5, retinas 5 and 6). Comparison of the receptive field sizes across 31 preparations (Fig. 7A) showed that the average SBC receptive field size was slightly (10%) larger, but the CR of receptive field size was substantially lower (67%) than that of ON-parasol cells (Fig. 7B). Thus, although SBC and ON-parasol cell receptive fields exhibited comparable variability in spacing, SBC receptive fields showed a greater variability in size.
Overlap
Receptive field overlap was characterized by computing the distribution of NNNDs for all cells in the mosaic. The NNND is the NND normalized by the spatial extent of the individual receptive fields, defined by Gaussian fits (see Materials and Methods). A NNND value of 2, for example, indicates that the receptive fields of two cells meet at the 1 SD contours of the respective Gaussian fits. Example NNND distributions for SBCs and ON-parasol cells from a single recording are shown in Figure 8, A and B. The observed NNND values are clustered around 2. To summarize the average overlap, the mode of the NNND distribution was identified by calculating the mean of the densest 75% of points in the distribution. Across 18 data sets, this value was 2.30 ± 0.18 (mean ± SE). The modal NNND exhibited little or no dependence on the retinal eccentricity of the recording (Fig. 8C) and therefore appears to represent an invariant property of SBCs across the peripheral visual field. Figure 8D compares the modal NNND values for SBCs and ON-parasol cells in 18 preparations. On average, ON-parasol mosaics exhibited modal NNND values of 1.83 ± 0.03, which is ∼20% lower than that of SBC mosaics. Thus, two populations of cells with similar single cell spatial extent (Fig. 7A) can exhibit systematic differences in receptive field overlap.
Discussion
We characterized the receptive field structure and collective spatial sampling properties of SBCs in peripheral primate retina. The receptive fields of individual SBCs exhibited center-surround antagonism. SBC color opponency did not arise from pooling ON- and OFF-bipolar cell signals. Instead, the data suggested that horizontal cells provide the (L+M)-OFF surround (Dacey, 2000; Herr et al., 2003; Schein et al., 2004). The receptive fields of SBCs formed nonrandom mosaics with overlap and regularity similar to those of ON-parasol cells. These findings indicate that SBC receptive fields exhibit two basic properties of other RGC types: center-surround antagonism and regular mosaic sampling of the visual scene.
SBC receptive fields exhibit center-surround antagonism
The finding that SBCs exhibit center-surround antagonist complements previous studies in primate LGN and retina (Wiesel and Hubel, 1966; de Monasterio and Gouras, 1975; de Monasterio, 1978b). Although the LGN study observed more blue-yellow cells with spatially coextensive (type II) receptive fields (15 of 21), the retinal studies observed more center-surround (type I) cells (41 of 53) (de Monasterio and Gouras, 1975; de Monasterio, 1978a,c). One study questioned whether the type I/II distinction was a quantitative one (Derrington and Lennie, 1984). Unfortunately, morphological identification was absent in these studies. Later studies in which SBC physiology was characterized simultaneously with morphology either did not report receptive field structure (Dacey and Lee, 1994) or provided limited data (Dacey, 1996).
Taking into account the large number (17–22) of RGC types in the primate retina and that at least two cell types (SBCs and LBCs) exhibit S-ON/(L+M)-OFF opponency (Dacey et al., 2003, 2005), it is possible that previously reported type II cells correspond to a different RGC type. It is also possible that SBCs in central retina are more often type II and/or that preferential blurring of short-wavelength light by the optics of the eye caused SBC receptive fields to appear closer to type II in vivo (Bedford and Wyszecki, 1957; Calkins et al., 1998; but see McLellan et al., 2002). Finally, it is possible that circuitry in the LGN diminishes spatial opponency in blue-yellow cells.
Circuitry for chromatic and spatial opponency
The primary implication of the present results for the circuitry underlying color opponency in SBCs is that OFF-bipolar cells contribute little to the (L+M)-OFF response. The principal evidence for this conclusion is that l-APB, an agonist of mGluR6 receptors that blocks transmission between photoreceptors and ON-bipolar cells, nearly eliminated the (L+M)-OFF response in SBCs. The limited role of OFF-bipolars is also suggested by the large difference in the degree of transiency between the (L+M)-OFF responses of SBCs and OFF-parasol cells. Specifically, the degree of transiency of RGC responses is thought to be established largely at the synapse between cones and bipolars (Awatramani and Slaughter, 2000; DeVries, 2000; DeVries et al., 2006), yet the DB2 and DB3 OFF-bipolar cells that provide input to OFF-parasol cells are the only OFF-bipolar cells appropriately positioned to provide input to SBCs (Calkins et al., 1998; Jacoby et al., 2000; Bordt et al., 2006). Thus, a large role for OFF-bipolars would seem to imply a more similar degree of transiency in SBCs and OFF-parasol cells than was observed.
One caveat to the pharmacological evidence is that l-APB, a group III mGluR agonist, has been shown to suppress EPSC frequency in OFF-RGCs in salamander retina, likely through the activation of either mGluR4 or mGluR8 expressed in OFF-bipolar cell terminals (Awatramani and Slaughter, 2001; Higgs et al., 2002). However, experiments in guinea pig showed that l-APB did not reduce the light response of OFF-α RGCs (Zaghloul et al., 2003). Additionally, in the present study, l-APB had a net effect of enhancing response amplitude in simultaneously recorded OFF-parasol cells, probably through the suppression of inhibition from the ON-pathway (Fig. 4) (Zaghloul et al., 2003; Margolis and Detwiler, 2007). Thus, the dominant effect of l-APB in this study is likely to be the blocking of transmission from photoreceptors to ON-bipolar cells.
A secondary implication of the present findings is that the (L+M)-OFF response arises from negative feedback onto S cones by horizontal cells. This interpretation is speculative. Horizontal cell feedback is thought to be the dominant mechanism generating receptive field surrounds in mammalian retina (Mangel, 1991; Dacey, 2000; McMahon et al., 2004). H1 horizontal cells are excluded because they appear to avoid the S cone pathway altogether. This leaves H2 cells, which contact all three primate cone types, and make dense contacts with S cones (Kolb et al., 1980; Boycott et al., 1987; Ahnelt and Kolb, 1994; Dacey et al., 1996; Wassle et al., 2000). The H2 cell feedback interpretation is consistent with the results of the l-APB experiment and is supported by both the time delay of the (L+M)-OFF relative to the S-ON response and the center-surround structure of SBC receptive fields, which would be expected if horizontal cell feedback pooled cone inputs over a large area (Packer and Dacey, 2002). Furthermore, the similarity in the degree of transiency in the S-ON and (L+M)-OFF signals in SBCs suggests that these two response components may be conveyed by a single bipolar cell type (DeVries et al., 2006), possibly after the site of combination of the S-ON and (L+M)-OFF signals. An interesting corollary of the horizontal cell hypothesis is that one mechanism creates both spatial and chromatic opponency in SBCs.
An alternative hypothesis is that the surround is mediated by amacrine cells (Cook and McReynolds, 1998; Lukasiewicz, 2005). Amacrine cells make extensive contacts to the inner and outer dendrites of SBCs (Calkins et al., 1998; Ghosh and Grunert, 1999). In guinea pig and mouse, the ON pathway provides tonic inhibition to OFF-α RGCs, perhaps via a bistratified, ON-amacrine cell (Zaghloul et al., 2003; Margolis and Detwiler, 2007). If such a circuit provides inhibition to OFF-parasol cells, it may also provide inhibition to the costratifying SBC outer dendrites. Also, some ON-bipolar cells have a high rate of tonic glutamate release that probably tracks glutamate release from cones (Zaghloul et al., 2003). If S cone bipolar cells (an ON-type cell) have the same property, then the release of tonic inhibition from an ON-amacrine cell collecting L and M cone inputs could permit spikes in the SBC, producing an OFF response. The present observation that l-APB silenced SBCs (Fig. 4) and caused an increase in the spike rate of OFF-parasol cells (data not shown) is consistent with this model. Of course, both horizontal cells and amacrine cells may contribute to the SBC surround. Interestingly, a recent study suggests that amacrine cells mediate surrounds in the presence of low-contrast stimuli, whereas horizontal cells dominate in the presence of high-contrast stimuli (Ichinose and Lukasiewicz, 2005). Intracellular recordings from SBCs and other cells of the S cone pathway will be needed to distinguish these possibilities.
The reported results beg the question of why there appear to be contacts between SBC outer dendrites and OFF-bipolar cells. One possibility is that the (L+M)-OFF signal is provided by different pathways in central versus peripheral retina: anatomical studies demonstrating such contacts were performed in foveal retina (Calkins et al., 1998), whereas the present experiments were performed in peripheral retina. One study of peripheral marmoset retina observed that a small minority (7%) of SBC outer dendrite synapses were associated with OFF-bipolar cells, and the remainder of the synapses were with amacrine cells (Ghosh and Grunert, 1999). A possibility that cannot be excluded by the present data is that OFF-bipolar cells provide facilitatory input that rarely causes the SBC membrane potential to cross spike threshold. It is also possible that the primary role of the outer dendrites is to collect tonic inhibition from the ON-pathway via amacrine cells (see above). Amacrine cell input could also shape response kinetics, contribute to adaptation, or provide a nonclassical surround to SBCs (Nirenberg and Meister, 1997; McMahon et al., 2004; Hosoya et al., 2005; Zaghloul et al., 2007).
Mosaics: a general feature of RGC organization
Anatomical studies have revealed mosaic spatial organization in every major retinal cell class (Fig. 9): photoreceptors (de Monasterio et al., 1981), horizontal cells (Wassle and Riemann, 1978), bipolar cells (Young and Vaney, 1991; Kouyama and Marshak, 1997), amacrine cells (Vaney et al., 1991; Eglen et al., 2003), and RGCs (Wassle and Riemann, 1978; Wassle et al., 1981; Dacey, 1993b). Although several different techniques have been used to characterize the regularity of spatial arrangement (Rodieck, 1991; Cook, 1996; Zhan and Troy, 2000), by far the most common measure is CR of the nearest neighbor distances. Interestingly, anatomical studies have observed a wide range of values, from those corresponding to nearly random arrangements (Luo et al., 1999; Galli-Resta et al., 2000) to those indicating highly regular and packing-limited arrangements (Wassle and Riemann, 1978; Dacey, 1993b). The present work reveals for the first time the regularity of receptive field mosaics of RGCs of known types.
Figure 9 shows a comparison of the measured CR of SBC and ON-parasol receptive field mosaics to the CR of anatomical mosaics from previous studies. Surprisingly, SBC and ON-parasol receptive field mosaics exhibited greater regularity than all anatomical mosaics except for human midget RGCs and packing-limited cones in the central visual field (Wassle and Riemann, 1978; Curcio et al., 1990; Dacey, 1993b). In addition, some of the most complete receptive field mosaics observed exhibited CRs >10, in excess of all reported values in the anatomical literature. Interestingly, S cones and S cone bipolar cells in the macaque exhibit substantially lower anatomical regularity than the functional regularity of SBC receptive fields (Kouyama and Marshak, 1997). This suggests that synaptic connections linking cells of the S cone pathway, perhaps via activity-dependent refinement, increase the regularity of receptive field mosaics beyond that established by cell body placement (Sernagor et al., 2001).
In contrast to findings in primate and rabbit (DeVries and Baylor, 1997; Chichilnisky and Kalmar, 2002; Frechette et al., 2005), a recent study of salamander retina suggested that many RGC types may not form a receptive field mosaic organization (Segev et al., 2006). Possible explanations for this discrepancy are that it is more difficult to distinguish the distinct RGC types in larval tiger salamander than in mammalian retina or that large-scale recordings provide a more clear view of functional distinctions between cell types. The present findings, and the recent discovery of another cell type that forms a receptive field mosaic (Petrusca et al., 2007), suggest that receptive field mosaic organization is a general feature of mammalian RGCs. This view of retinal architecture is consistent with anatomical studies in many species (Field and Chichilnisky, 2007). The unambiguous functional distinctions observed in large-scale recordings (Fig. 1), along with mosaic organization, confirm the irreducibility of each RGC type and hold promise for comprehensive characterization of the 17–22 anatomically distinct RGC types in primate retina. The present findings also raise the question of whether cell location and dendritic morphology, or alternatively the patterns of synaptic connectivity, are more important for producing receptive field mosaics. Future work may provide insight into how other cell types subserving important visual functions, such as the numerous midget cells, sample visual space.
Footnotes
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This work was supported by the Helen Hay Whitney Foundation (G.D.F.), Burroughs Wellcome Fund Career Award at Scientific Interface (A.S.), National Institutes of Health (NIH) National Research Service Award and Chapman Foundation (J.L.G.), German Academic Exchange Service (M.G.), National Science Foundation (NSF) Integrative Graduate Education and Research Traineeship DGE-033451 (J.S.), McKnight Foundation (A.M.L., E.J.C.), NSF Grant PHY-0417175 (A.M.L.), a Sloan Research Fellowship, and NIH Grant EY017992 (E.J.C). We thank B. Kutka and C. Hulse for technical assistance; M. I. Grivich, D. Petrusca, W. Dabrowski, A. Grillo, P. Grybos, P. Hottowy, and S. Kachiguine for technical development; H. Fox, M. Taffe, E. Callaway, and K. Osborn for providing access to retinas; and S. Barry for machining. We thank the San Diego Supercomputer Center and the NSF (Cooperative Agreements 05253071 and 0438741) for large-scale data storage.
- Correspondence should be addressed to Greg D. Field, Systems Neurobiology, The Salk Institute, 10010 North Torrey Pines Road, La Jolla, CA 92037. gfield{at}salk.edu