Abstract
The response of a cortical neuron to a motivationally salient visual stimulus can reflect a prediction of the associated outcome, a sensitivity to low-level stimulus features, or a mix of both. To distinguish between these alternatives, we monitored responses to visual stimuli in the same lateral visual association cortex neurons across weeks, both prior to and after reassignment of the outcome associated with each stimulus. We observed correlated ensembles of neurons with visual responses that either tracked the same predicted outcome, the same stimulus orientation, or that emerged only following new learning. Visual responses of outcome-tracking neurons encoded “value,” as they demonstrated a response bias to salient, food-predicting cues and sensitivity to reward history and hunger state. Strikingly, these attributes were not evident in neurons that tracked stimulus orientation. Our findings suggest a division of labor between intermingled ensembles in visual association cortex that encode predicted value or stimulus identity.
Graphical abstract
Introduction
Our brains track not only the identity of sensory stimuli, but also the possible outcomes associated with these stimuli. Due to a constantly changing environment, learned cue-outcome associations are frequently made, broken, and re-made. Accordingly, the neural representation of a given cue-outcome association must include both reliable encoding of the stimulus identity and flexible, context-dependent encoding of the predicted outcome and its motivational salience. However, representations of stimuli and of predicted outcomes are often considered in separate studies focused on different brain regions. For example, studies in early visual cortical areas have described correlated ensembles of neurons that encode low-level information about stimulus identity (Cossell et al., 2015; Hofer et al., 2011; Ko et al., 2011; Kohn and Smith, 2005; Lee et al., 2016), while studies in subcortical regions such as the amygdala have identified ensembles that respond to those sensory cues that become associated with a given salient outcome (Grewe et al., 2017; Paton et al., 2006; Schoenbaum et al., 1999; Zhang et al., 2013). Within intervening brain areas, it remains unclear whether representations of stimulus identity and of predicted outcome are largely encoded by a common group of neurons or are separately encoded by different groups of neurons.
A natural region in which to address this question is the visual postrhinal cortex (POR; Wang and Burkhalter, 2007) and neighboring regions of lateral visual association cortex (LVAC). Behavioral studies suggest that lateral association cortex may play a key role in linking representations of sensory stimuli and predicted outcomes (e.g., Parker and Gaffan, 1998; Sacco and Sacchetti, 2010). Anatomical evidence points to LVAC as a putative integration site, as it receives feedforward projections from early visual cortex and visual thalamus (Wang and Burkhalter, 2007; Zhou et al., 2018) and feedback projections from lateral amygdala (Burgess et al., 2016). Evidence that LVAC contains a faithful representation of the visual world comes from observations that some LVAC neurons are retinotopically organized and can encode low-level stimulus features such as stimulus orientation, even in naïve mice (Burgess et al., 2016). Evidence that LVAC also contains a representation of the value of predicted outcomes comes from observations that, following training, LVAC neurons show a hunger-dependent response bias towards learned cues that predict food delivery, as well as sensitivity to reward history (Burgess et al., 2016).
While the above study in mice and many neuroimaging studies in humans demonstrate enhanced responses to salient cues in LVAC (reviewed in Burgess et al., 2017), these studies were fundamentally limited in their ability to determine whether a given neuron is responsive to a visual cue because it is sensitive to the low-level features of the stimulus, to the outcome predicted by the stimulus, or to a combination of these factors. At one extreme, the observed population-level sensitivity to food cues, hunger state, and reward history could be a result of individual neurons that are tuned to low-level visual stimulus features but that also demonstrate changes in response gain across behavioral contexts. At the other extreme, one subset of neurons might track whichever cues predict a given salient outcome, while another intermingled set of neurons might track low-level visual features and maintain the same high-fidelity response tuning independent of context.
To address this question, we used two-photon calcium imaging to record in LVAC of mice performing a Go-NoGo visual discrimination task. Critically, we tracked the same neurons across days prior to, during, and following learning of a reassignment of cue-outcome associations (similar to classic reversal learning paradigms; Paton et al., 2006). We identified multiple ensembles of correlated LVAC neurons, each of which tracked the identity of a specific visual stimulus. Strikingly, we found that visual responses in these identity-coding ensembles were not sensitive to motivational salience. Instead, we identified an additional ensemble of correlated neurons that tracked predicted outcome and whose visual responses were sensitive to cue saliency, reward history, and hunger state. Surprisingly, relatively few neurons demonstrated appreciable joint tracking of stimulus identity and of predicted outcome. We propose that intermingled ensembles encoding stimulus identity or predicted outcome in visual association cortex may achieve dual goals of maintaining a faithful representation of a visual stimulus while enabling flexible encoding of predicted outcomes and their motivational salience.
Results
Mice learn changes in cue-outcome associations in a visual discrimination task
We trained food-restricted mice to perform a Go-NoGo visual discrimination task (Figure 1A–B). Mice were presented with visual cues for 3 s, followed by a 2-s response window and a 6-s inter-trial interval. Mice were trained to discriminate between a food-predicting cue (FC; 0° in Figure 1B; orientations were counterbalanced across animals), a quinine-predicting cue (QC; 270°), and a neutral cue (NC; 135°). Licking during the response window following the FC, QC, or NC resulted in delivery of liquid food (5 μL of Ensure), an aversive bitter solution (5 μL of 0.1 mM quinine), or nothing, respectively.
Lateral visual association cortex (LVAC) was necessary for task performance, as bilateral silencing (centered on visPOR) using the GABAA agonist muscimol (125 ng in 50 nl) disrupted performance (p = 0.006, paired t-test; n = 3 mice; Figure 1C and S1A). Silencing of LVAC did not result in general cessation of licking (as occurs when silencing insular cortex during this task, Livneh et al., 2017). Instead, it caused mice to lick indiscriminately in response to all cues (Figure S1A), suggesting a perceptual rather than a motivational deficit.
Once mice stably performed the Go-NoGo task, we switched the three cue-outcome contingencies via a clockwise rotation of the outcome associated with each stimulus (Figure 1D; e.g. FC: 0°→270°; QC: 270° →135°; NC: 135° →0°). Discrimination returned to high levels in as few as 3 days following this “Reversal” (Figure 1E–F; d’ pre- vs. during- vs. post-Reversal: p < 0.001, 1-way repeated measures ANOVA, Tukey-Kramer method). We used a behavioral performance threshold (d’ > 2 for ≥ 2 consecutive days) to divide our training paradigm into 3 epochs: (i) prior to switching of cue-outcome associations (pre-Reversal), (ii) poor performance immediately after switching of cue-outcome associations (during-Reversal), and (iii) following learning of the new associations (post-Reversal; Figure 1E–F). Following the switch, mice began licking indiscriminately to all cues, and then gradually increased licking to the new food cue (Figures 1F and S1B; p < 0.05, 2-way ANOVA, Tukey-Kramer method) and decreased licking to other cues. This switching of cue-outcome associations also caused an increase in pre-stimulus licking. Food cue-evoked and pre-stimulus licking gradually returned to pre-Reversal levels and became more stereotyped (Figure S1C–D; Jurjut et al., 2017). The fraction of all trials with lick responses did not change (Figure S1E), suggesting similar levels of task engagement throughout the Reversal.
Different subsets of LVAC neurons track stimulus identity or predicted outcome
Throughout daily imaging sessions (14 ± 5 sessions/mouse in 4 mice), we tracked visual responses in the same population of neurons in layer 2/3 of lateral visual association cortex (LVAC) using two-photon calcium imaging. Recordings were from a region of LVAC centered around visPOR (Figure 2A), which was delineated using widefield intrinsic autofluorescence imaging of retinotopy, and subsequently injected with AAV1-hSyn-GCaMP6f (Burgess et al., 2016).
We tracked 731 neurons across multiple imaging sessions, of which 179 were significantly visually responsive both pre- and post-Reversal. We hypothesized that some neurons would respond selectively to the same low-level stimulus feature (orientation) regardless of changes in associated outcome (e.g. Figure 2B, top: neural response preference tracks the 270° grating), while other neurons would respond selectively to visual cues predicting the same outcome regardless of stimulus orientation (see hypothetical example neuron in Figure 2B, bottom, which responds to the stimulus that predicts quinine, regardless of stimulus orientation; Figure S2A).
Diverse tuning properties were observed across simultaneously recorded neurons, both in single-trial visual responses (Figure 2C) and in mean responses (Figure 2D). Neuron #1 responded to the food-predicting cue (FC) both pre- and post-Reversal, regardless of stimulus orientation (FC pre-Reversal: 0°; FC post-Reversal: 270°). Neuron #2 responded to the same orientation (270°) across the Reversal. Neuron #3 r esponded to all 3 cues across all sessions.
We assigned all neurons that were visually responsive both pre- and post-Reversal to one of three categories (Figure 2E): “Predicted Outcome (PO)” neurons had visual responses that predominantly tracked the same predicted outcome, “Identity (ID)” neurons maintained visual responses to the same preferred stimulus orientation, and “Broadly-tuned (BR)” neurons had non-selective visual responses. To categorize a neuron, we constructed a 3-point tuning curve of its responses to the 3 stimuli pre-Reversal (Figure S2A, left panel; net cue preference: black arrow). We then estimated how this tuning curve and net preference would have “rotated” post-Reversal (Figure S2A, right panels), had the neuron been purely tuned to stimulus identity (no rotation, as ID neurons respond consistently to the same orientation; dashed purple arrow), or predicted outcome (clockwise rotation to match the rotation of outcomes relative to the 3 stimuli; dashed orange arrow). Using this categorization, we found 83 ID neurons and 43 PO neurons (Figure 2F; Figure S2A–E, right). We also found 53 BR neurons that showed similar responses to all cues, and thus equally poorly “tracked” stimulus orientation, predicted outcome, and an artificial, counter-clockwise “null” rotation across Reversal (Figure S2B). The tracking of predicted outcome did not occur due to noisy estimates: while many LVAC neurons showed surprisingly pure tracking of the same predicted outcome (Figure 2F, right dashed box) or the same stimulus orientation (Figure 2F, left dashed box; Figure 2G), control analyses confirmed that almost no neurons showed similarly pure tracking of the artificial null rotation (Figure S2C).
Enhanced sensitivity to food cues and reward history in Predicted Outcome but not Identity neurons
Neural responses in LVAC of food-restricted mice were biased to food cues vs. other visual cues (Figure 3A), consistent with previous work in humans and mice (Burgess et al., 2016; Huerta et al., 2014; LaBar et al., 2001). Here, we asked whether this food cue response bias is more prevalent in any one category of LVAC neurons. The set of 179 neurons responsive to visual cues both pre- and post-Reversal showed a similar net food cue response enhancement as the total population (i.e. neurons driven either pre- and/or post-Reversal; Figure 3A and Figure S3A). Surprisingly, this food cue response bias was absent in the subset of neurons that preferentially tracked stimulus orientation (left half of Figure 3B; cf. Figure 2F; food cue bias = FCresponse / [FCresponse + QCresponse + NCresponse]; no bias: 0.33). This was true both for those neurons that purely tracked stimulus orientation (leftmost datapoint) and for those neurons that weakly tracked stimulus orientation (2nd and 3rd datapoints from left). Instead, the food cue bias only existed in those neurons that predominantly tracked the predicted outcome (right half of Figure 3B; p < 0.001, Wilcoxon Sign-Rank test against 0.33, Bonferroni corrected). Furthermore, those neurons that purely tracked the predicted outcome demonstrated the strongest food cue response bias.
We confirmed that the group of PO neurons showed a response bias to the food cue (Figure 3C). This bias persisted both pre- and post-Reversal, and thus across associations of different stimulus orientations with the food reward (Figure 3C; inset shows per animal; Figure S3A–B; PO neurons pre- and post-Reversal: p < 0.0001, Wilcoxon Sign-Rank test against chance, Bonferroni corrected within group). Critically, the group of ID neurons did not exhibit this bias (p > 0.05). Thus, while on average there exists a food cue response bias when considered across all neurons, a subgroup of neurons exists that faithfully encodes stimulus identity irrespective of motivational salience. These data suggest the co-existence of largely distinct sets of LVAC neurons that either faithfully represent the same low-level sensory features across time, or that show more plastic representations that track whichever stimulus predicts a given salient outcome.
We previously showed that the magnitude of food cue responses in LVAC neurons varied in their sensitivity to reward history (Burgess et al., 2016). We asked whether such short-timescale variation in expected value of predictive cues differed across functional categories. We estimated the magnitude of a neuron’s average response to its preferred stimulus, either for trials preceded by a rewarded food cue (RFC→Pref) or those preceded by one or more non-rewarded cues (RnonFC→Pref), and calculated a reward history modulation index (abs[RnonFC→Pref-RFC→Pref]/RPref; see example cells in Figure 3D). We found that those neurons that tracked the orientation of the stimulus across the Reversal were relatively insensitive to recent reward history (left half of Figure 3E). In contrast, those neurons that purely tracked the predicted outcome (darkest gray circle) were more sensitive to reward history (bootstrap permutation test: p < 0.01; Figure 3E). Similarly, when analyzing neurons by category, we found that PO neurons were more sensitive to recent reward history than ID or BR neurons (Figure 3F and Figure S3C; PO vs. ID or BR neurons: p < 0.02; ID vs. BR neurons: p > 0.05; Kruskal-Wallis, Bonferroni corrected). As response bias towards the motivationally relevant food cue and sensitivity to reward history both reflect encoding of the expected value of predicted outcomes, these findings further support the conclusion that the subset of LVAC neurons that encode low-level stimulus features do not additionally encode expected value.
Dissecting sensory, motor, and reward-related responses in visual association cortex
We next used a generalized linear model (GLM; Figure 4A–C) to estimate the relative contributions of visual cues, reward delivery, and other task-relevant events to the overall responses of each group of neurons. Notably, visual cue coefficients, which captured activity tightly locked to stimulus onsets, explained the largest proportion of task-modulated activity in PO neurons as well as in ID and BR neurons (deviance explained using visual coefficients vs. motor coefficients such as those locked to the first lick following cue onset: p < 0.01, Wilcoxon Rank-Sum, Bonferroni corrected; Figure 4A–D; Figure S4A–B). We confirmed that a selective bias to the food cue was present in PO neurons, but not in ID or BR neurons, even when considering only the visual cue response coefficients from the GLM (p < 0.05, Kruskal-Wallis, Bonferroni corrected; Figure 4E).
PO neurons did not show responses tightly locked to any visual cue in sessions during-Reversal, when the animal was performing the task poorly (potentially due to decreased confidence in cue predictions). We therefore quantified the likelihood of significant visual responses in all three categories of neurons as previously assessed pre- and post-Reversal, but now for during-Reversal sessions. We found that while ID and BR neurons were consistently visually responsive during-Reversal, this was not the case for PO neurons (Figure 4G and Figure S4C–D; PODuring vs. IDDuring or BRDuring: p < 0.0001, 2-way ANOVA with Tukey-Kramer method). This was true despite reliable activity prior to motor initiation (Figure 4F and Figure S4A), implying that this pre-motor neural signal can be decoupled from the visual component of responses in PO neurons. Thus, this GLM analysis reveals that PO neurons lose their short-latency visual response to the stimulus previously predictive of reward, and only display a short-latency response to the new visual stimulus predicting reward after re-learning, once the mouse has developed confident predictions of the new outcomes predicted by each cue.
Taken together, the above results are consistent with a model in which LVAC neurons that track the same outcome across a Reversal are differentially influenced by common top-down inputs, such as amygdala feedback projections that exhibit strong food cue bias, sensitivity to trial/reward history, and encoding of both learned visual cues and associated outcomes (Burgess et al., 2016). In contrast, ID neurons may be differentially influenced by bottom-up input from early visual cortex and thalamus.
Correlated ensembles of Predicted Outcome, Identity, and Broadly-tuned neurons
Previously, higher within- vs. across-group co-fluctuations in cue-evoked neural activity (i.e. noise correlations) have been used to identify distinct functional “ensembles” that may reflect increased common input (Figure 5A; Cumming and Nienborg, 2016; Shadlen and Newsome, 1998) and/or increased local connectivity (Cossell et al., 2015; Ko et al., 2011). Thus, we tested whether the largely distinct functional groups of neurons encoding stimulus identity or predicted outcome showed increased within- vs. across-group functional connectivity, thereby supporting the notion of distinct ensembles. To this end, we assessed trial-to-trial co-fluctuations in cue-evoked responses across pairs of neurons during food cue presentations (Figure 5A). Indeed, PO neurons showed higher noise correlations with other PO neurons than with ID or BR neurons (Figure 5B; PO-PO vs. PO-Other: p < 0.001, Wilcoxon Rank-Sum, Bonferroni corrected). BR neurons also demonstrated higher within- vs. across-group noise correlations (p < 0.001). Similar results were observed when separately considering neurons that either weakly or strongly tracked predicted outcome (right half of Figure 5C, cf. Figure 2F). These elevated within- vs. across-group noise correlations were not due to differences in response preferences across groups: restricting analyses to those neurons in each group that preferred the orientation associated with food reward yielded similar results (p < 0.0001; Figure 5D, Wilcoxon Rank-Sum, Bonferroni corrected). Thus, even neurons that preferentially respond to the same stimulus can belong to different ensembles based on whether they track stimulus orientation vs. predicted outcome across a Reversal.
We additionally hypothesized that within the set of ID neurons in LVAC, there might exist highly correlated sub-ensembles, each preferring a unique stimulus orientation, as in primary visual cortex (Cossell et al., 2015; Ko et al., 2011). Indeed, we confirmed the presence of different sub-ensembles of ID neurons preferring each of the three stimulus orientations, with increased noise correlations within vs. across sub-ensemble (Figure 5E; FCori-FCori vs. FCori- Otherori: p = 0.009, NCori-NCori vs. NCori-Otherori: p = 0.004; QCori-QCori vs. QCori-Otherori: p = 0.27).
Analysis of spontaneous co-activity of neurons provided additional evidence for the existence of distinct ensembles in LVAC. As with trial-to-trial noise correlations of stimulus-evoked activity, we observed higher within-group vs. across-group correlations in spontaneous activity, during moments in which no stimulus was present (Figure 5F and Figure S5A–B; p < 0.001, Wilcoxon Rank-Sum, Bonferroni corrected). Pairs of ID neurons with the same orientation preference also showed higher spontaneous co-activity than those with different orientation preferences (Figure 5G; FCori-FCori vs. FCori-Otherori: p < 0.01, QCori-QCori vs. QCori- Otherori: p < 0.0001, NCori-NCori vs. NCori-Otherori: p = 0.17, Wilcoxon Rank-Sum, Bonferroni corrected). These results were evident even in individual recording sessions (e.g. Figure S5CE). Altogether, these data suggest the existence of multiple ID sub-ensembles of correlated neurons encoding distinct stimulus features in LVAC (as in V1, Cossell et al., 2015; Ko et al., 2011), as well as at least one additional intermingled ensemble that encodes predicted outcome.
While PO, BR, and ID neurons were generally intermingled, PO and BR neurons did show weak spatial clustering relative to ID neurons (Figure S6A). However, functional properties did not differ between neurons in the center or in the periphery of our fields of view (Figure S6BF): both demonstrated selective food cue response enhancement in PO neurons (Figure S6D) and higher correlations within vs. across functional categories (Figure S6E–F). This suggests that our findings are not limited to the retinotopically-defined area in the center of our field of view – visual postrhinal cortex (visPOR) – but instead may generalize to neighboring regions of LVAC, possibly due to innervation by common sources of input (Burgess et al., 2016).
Joint tracking of stimulus identity and predicted outcome in single neurons
We sought to distinguish neurons that might exhibit true ‘joint tracking’ (i.e. those demonstrating a visual cue-evoked response both to a specific stimulus orientation and to whichever stimulus predicts the same outcome pre- and post-Reversal) from those that were simply broadly responsive to all stimuli. An example joint tracking neuron is shown in Figure 6B. To assess the strength of joint tracking, we used an index that equals 0 for those neurons that purely track the stimulus orientation (Figure 6C; x-axis value of −1) or the predicted outcome (Figure 6C; x-axis value of 1) across the Reversal, and that is positive for those neurons that partially track both stimulus orientation and predicted outcome (Figure 6C; small black circles: neurons with significant joint tracking; large circles: averages for each category; dashed gray lines: 95% confidence intervals). Only a minority of neurons showed significant joint tracking (Figure 6D). PO and BR neurons with significant joint tracking demonstrated enhanced food cue responses post- vs. pre-Reversal (p < 0.01, Wilcoxon Sign-Rank test against 0, Bonferroni corrected; Figure 6E). This suggests that, in addition to encoding stimulus orientation, these neurons shifted their tuning curves post-Reversal to also encode the new food cue. In contrast, the small minority of ID neurons exhibiting joint tracking showed no significant enhancement in food cue responses post-Reversal, further supporting the notion that visual responses of ID neurons are largely insensitive to predicted value (p > 0.05, Wilcoxon Sign-Rank test against 0, Bonferroni corrected; Figure 6E).
Neurons recruited during new learning encode predicted value
During Reversal, Predicted Outcome neurons lose their short-latency response to the visual stimulus that previously predicted food reward, and subsequently develop a response to the new visual stimulus now predicting reward (Figure 4F–G). We therefore hypothesized that an additional subset of neurons might exist that develop a similar response to the new visual stimulus now predicting reward, yet that were unresponsive to any visual stimulus pre-Reversal. Further, we predicted that such “Recruited” neurons would exhibit similar functional properties as PO neurons. We identified 472 neurons that were either not visually responsive or that were not identifiable pre-Reversal, but that became visually responsive post-Reversal (Figure 7A–C). Visual responses in these neurons showed a similar bias to the food cue as in PO neurons (Figure 7D; p < 0.025 for all comparisons, Kruskal-Wallis, Bonferroni corrected) and a similarly strong sensitivity to reward history (Figure 7E; p > 0.05, Wilcoxon Rank-Sum).
We found that Recruited neurons were integrated with the correlated ensemble of PO neurons. Specifically, both Recruited neurons and PO neurons showed higher post-Reversal noise correlations with PO neurons than with ID or BR neurons (Figure 5C; p < 0.002, Kruskal-Wallis, Bonferroni corrected). Recruited neurons also showed higher post-Reversal spontaneous event cross-correlations with PO neurons than with ID or BR neurons (Figure 7G; post-Reversal: p < 0.01, 2-way ANOVA, Tukey-Kramer method). Overall, when combining noise and spontaneous correlations together post-Reversal, Recruited neurons were generally more co-active with PO neurons than with ID or BR neurons (Figure 7H). Remarkably, in those Recruited neurons for which we could measure spontaneous activity pre-Reversal, we also observed a significantly higher pre-Reversal correlation in spontaneous activity with PO neurons than with other groups (right of Figure 7G; p < 0.05, 2-way ANOVA, Tukey-Kramer method), even though Recruited neurons were not significantly visual driven by any cue during this pre-Reversal epoch. These data suggest that Recruited neurons become integrated into the PO ensemble and may be predisposed to this integration even prior to the emergence of visual responses during new learning.
These Recruited neurons were mirrored by a population of neurons that ceased to be visually responsive when cue-outcome contingencies were reassigned (“Offline” neurons; n = 232 neurons; Figure S7A–B). Pre-Reversal, these Offline neurons were also biased to the food cue (Figure S7C; FC vs. QC and NC: p < 0.001, Kruskal-Wallis, Bonferroni corrected) and showed similar sensitivity to reward history as PO neurons (p > 0.05, Wilcoxon Rank-Sum test). However, Offline neurons did not demonstrate the same pattern of functional connectivity as the Recruited population (Figure S7F–G), as they did not show higher noise correlations or spontaneous correlations with PO than with ID or BR neurons. Thus, while Offline neurons exhibit similar properties to PO neurons, they may be predisposed to go ‘offline’ due to a lack of strong functional connectivity with PO neurons.
Single-session visual response dynamics can predict which neurons will track stimulus identity or predicted outcome across Reversal
The above findings regarding Recruited and Offline neurons led us to conduct a more comprehensive assessment of the functional similarity and correlations between the small set of neurons driven pre- and post-Reversal and thus classifiable as PO, ID, or BR neurons (n = 179) and the larger group of transiently visually responsive neurons driven on at least 2 sessions pre-or post-Reversal, but not both (n = 543 neurons; Figure 8A). To this end, we tested whether response dynamics measured during a single recording session were sufficient to correctly classify neurons responsive pre- and post-Reversal as PO, ID, or BR (i.e. whether single-session responses could predict if a neuron would track stimulus orientation or predicted outcome across Reversal). If successful, this same classifier could then be applied to the larger pool of transiently responsive neurons, and thus serve as a useful tool for relating our across-day findings to single-session measurements from both current and previous studies. Initial observations suggested that low-level response features might indeed be predictive of membership in an across-Reversal category. For example, certain neurons showed a temporally locked response to the 2 Hz temporal frequency of the drifting gratings (Figure 8B; p < 0.05; see STAR methods), and these neurons were all ID neurons that tracked the same stimulus orientation across the Reversal (note that 2 Hz locking was not used during initial categorization in Figure S2A–B).
To attempt to distinguish PO, ID, and BR neurons using single-session data, we extracted a large set of basic visual response features collected from a single imaging session (2 Hz locking, trial-to-trial response variability, mean response latency, response selectivity, response magnitude, response latency variability, ramp index, and time to peak). We trained a Random Forests classifier to label neurons as PO, ID or BR based on these sensory response features. Strikingly, this approach showed that within-session data was sufficient to classify neurons as PO, ID, and BR at well above chance levels (Figure 8C; Figure S8B–D; PO-, Identity-, and Broadly-tuned vs. Shuffle: p < 0.0001, Wilcoxon Rank-Sum; Breiman, 2001; Geng et al., 2004).
Having validated the classifier, we applied it to transiently visually responsive neurons. We defined “PO-like,” “ID-like,” or “BR-like” neurons as those that demonstrated a high level of classifier confidence (> 0.6) that their response characteristics were similar to those of PO, ID, or BR neurons, respectively (Figure S8F). We found that, as with PO neurons, PO-like neurons showed a stronger food cue response bias than ID-like or BR-like neurons (Figure 8D; PO-like vs. ID-like or BR-like: p < 0.0001; Kruskal-Wallis, Bonferroni corrected).
We then tested if these transiently visually responsive neurons were integrated into previously defined PO, ID, or BR ensembles. Indeed, PO-like neurons showed higher noise correlations and spontaneous correlations with PO neurons than with ID or BR neurons (Figure 8E–F; noise correlations with PO vs. ID neurons: p = 0.001; spontaneous cross-correlations with PO vs. ID or BR neurons: p < 0.01, Kruskal-Wallis, Bonferroni corrected). Thus, neurons that are transiently visually responsive and share single-session visual response properties with PO neurons appear to be integrated with the PO ensemble.
Predicted Outcome-like neurons in both LVAC and V1 are differentially sensitive to hunger state
We next applied this classifier to imaging datasets from a previous study of neurons in visPOR (an area within lateral visual association cortex, LVAC) and in primary visual cortex (V1; n = 8 mice; Burgess et al., 2016). In previous studies, neurons in both V1 and LVAC of naïve mice often responded to specific oriented gratings (Burgess et al., 2016; Niell and Stryker, 2008) and maintained stable orientation tuning curves across multiple days (Burgess et al., 2016; Mank et al., 2008). Further, in trained mice, we previously found that satiety abolished the population-wide average food cue response bias across visPOR neurons, while a similar response bias and hunger sensitivity was not observed in V1 (Burgess et al., 2016). These previous analyses averaged across all responsive neurons, due to our previous inability to define ID, PO, and BR categories in the absence of Reversal learning. Now, by training the classifier on our current dataset and classifying neurons from this previous dataset into functional categories, we could test (i) if PO-like neurons were also present in V1, and (ii) if the selective reduction in food cue responses in visPOR neurons following satiation occurred predominantly in PO-like neurons, consistent with their proposed role in encoding motivationally-salient predicted outcomes.
The Random Forests classifier identified PO-like neurons as well as ID-like neurons in our previous recordings in visPOR and, surprisingly, in V1. Consistent with the findings from PO and PO-like LVAC neurons in the current dataset, PO-like neurons in this previous dataset also showed a response bias to the food cue and enhanced sensitivity to reward history relative to ID-like neurons in visPOR and, surprisingly, in V1 (Figure 8G; p < 0.05, Wilcoxon Sign-Rank test against 0.33 and Wilcoxon Rank-Sum test, PO-like vs. ID-like). Nevertheless, the fraction of PO-like neurons was significantly higher in visPOR than in V1 (Figure 8H; p < 0.05, Tukey’s HSD method).
Predicted Outcome (PO)-like neurons in V1 and visPOR were strongly biased to the food cue, and this bias was abolished by satiation in both regions of cortex (Figure 8I). In contrast, ID-like neurons in V1 and visPOR from this previous dataset did not show a food cue response bias, regardless of hunger state (Figure 8I; p > 0.05 Wilcoxon Rank-Sum). Moreover, even the subset of ID-like neurons that preferred the stimulus associated with food reward was not modulated by changes in hunger state or reward history (Figure S8G–H). These data further support our finding that the encoding of either stimulus identity or predicted value is carried out by largely distinct, intermingled ensembles of cortical neurons. More generally, these findings illustrate the utility of training a classifier to use single-session data to predict a neuron’s response plasticity and dynamics during longitudinal recordings, as a means to bridge chronic functional imaging datasets with single-session recordings across studies and brain areas.
Discussion
Using two-photon calcium imaging, we tracked visual responses in the same layer 2/3 neurons of mouse lateral visual association cortex (LVAC) across sessions prior to, during and after a reassignment of cue-outcome associations. We identified intermingled ensembles of neurons that mostly tracked either stimulus identity or predicted outcome. Neurons that tracked stimulus identity (ID neurons) encoded a low-level stimulus feature – stimulus orientation – across a switch in cue-outcome associations. Strikingly, ID neurons did not encode stimulus value, as they showed no response bias to the salient food cue and little sensitivity to reward history or hunger state. In this way, these neurons maintained a faithful representation of stimulus identity. In contrast, neurons that tracked the same predicted outcome irrespective of the stimulus orientation (PO neurons) exhibited short-latency visual responses that were biased to the motivationally relevant food cue and sensitive to reward history. Both PO and ID groups of neurons showed higher within- vs. across-group noise correlations and spontaneous correlations, suggesting that these groups represent largely distinct functional ensembles. Other neurons in LVAC were initially unresponsive to visual cues but developed cue-evoked responses after new learning. These recruited neurons had visual responses that were strongly biased to the food cue and were selectively correlated with those of the PO ensemble. Together, these findings suggest that lateral visual association cortex maintains a faithful neuronal representation of visual stimuli, together with a largely separate, motivation-dependent representation of salient predicted outcomes.
Ensembles encoding visual stimulus identity or predicted value in other brain regions
Historically, sensory representations of stimulus identity and predicted value have most commonly been considered in separate studies in different brain areas (but see Paton et al., 2006; Schoenbaum et al., 1998). For example, the existence of ensembles of excitatory neurons preferring distinct stimulus features has been extensively documented in primary visual cortex (V1; Ko et al., 2011; Kohn and Smith, 2005; Lee et al., 2016). Groups of V1 neurons with common stimulus preferences and with high pairwise trial-to-trial noise correlations (Cossell et al., 2015; Ko et al., 2011) and/or high correlations in spontaneous activity (Ch’ng and Reid, 2010; Okun et al., 2015; Tsodyks et al., 1999) are often defined as belonging to the same ensemble. Such ensembles may be activated together due to increased probability of within-ensemble connections (Cossell et al., 2015; Ko et al., 2011; Lee et al., 2016), and/or due to common sources of feedforward or feedback input (Cohen and Maunsell, 2009; Cumming and Nienborg, 2016; Shadlen and Newsome, 1998; Smith and Kohn, 2008). Due to their robust responses even during passive viewing of visual stimuli, these ensembles in primary visual cortex are thought to encode low-level features of the visual stimulus.
In contrast to the important role of V1 ensembles in encoding the identity of visual stimuli, regions such as lateral and basolateral amygdala have been shown to strongly encode cues predicting salient outcomes (Grewe et al., 2017; Morrison and Salzman, 2010; Paton et al., 2006). Intermingled neurons in the rodent and primate amygdala encode cues associated with positive or negative outcomes (Beyeler et al., 2018; Morrison and Salzman, 2010; O’Neill et al., 2018; Schoenbaum et al., 1998), and silencing or lesioning the amygdala affects behavioral responses to learned cues (Baxter and Murray, 2002; Sparta et al., 2014). Furthermore, recent studies using cross-correlation analyses show that positive value-coding and negative value-coding amygdala neurons form distinct ensembles (Zhang et al., 2013). Our findings show that, in a region of cortex between early visual areas and amygdala, there exists intermingled ensembles of functionally distinct neurons whose visual responses mostly track either stimulus orientation or predicted outcome, thereby separately encoding stimulus identity and stimulus value.
Different afferent inputs may target ensembles encoding stimulus identity or predicted outcome
How might these largely distinct functional ensembles come about in lateral visual association cortex? We hypothesize that different afferent inputs target PO vs. ID ensembles, and that these inputs could contribute to the higher within-ensemble vs. across-ensemble correlations (Figure 8J). Previous studies have shown that visPOR receives feedforward input from areas important for basic visual processing, including V1 (V1; Niell and Stryker, 2008; Wang et al., 2012), secondary visual cortex (LM; Wang et al., 2012), and the lateral posterior nucleus in the thalamus (LP; Zhou et al., 2018). We predict that these inputs more strongly target the ID ensemble and provide information predominantly regarding low-level stimulus features (Figure 8J). In contrast, PO neurons could receive stronger input from brain regions that exhibit sensitivity to motivational context (e.g. hunger-dependent food cue biases and sensitivity to reward history) such as the lateral amygdala (LA; Burgess et al., 2016; Saez et al., 2017). Supporting this, amygdala silencing impairs neuronal responses to salient learned cues in many cortical areas (Livneh et al., 2017; Samuelsen et al., 2012; Schoenbaum et al., 2003; Yang et al., 2016). PO neurons may also receive input from areas conveying information about decision making and motor planning that varies with task context (e.g. PFC: Otis et al. 2017; OFC: Schoenbaum et al. 2003; PPC: Pho et al. 2018).
We found a minority of neurons whose visual responses significantly tracked both stimulus identity and predicted outcome across a Reversal. These “joint tracking” neurons could potentially arise locally due to cross-talk between PO and ID neurons, as we observed lower but non-zero noise and spontaneous correlations between these groups. Alternatively, joint tracking neurons could inherit their tuning (e.g. from LP or LM inputs; Wang et al., 2012; Zhou et al., 2018). Critically, only a small fraction of ID neurons demonstrated significant joint tracking, and those that did showed no response enhancement to the motivationally relevant food cue (Figure 6). These findings further suggest largely separate LVAC populations representing stimulus identity or predicted value.
The hierarchical organization of value representations in the visual system
Human neuroimaging studies consistently report strong hunger-dependent enhancement of neural responses to food cues in lateral visual association cortex (LVAC), but not in V1 (V1; Huerta et al., 2014; LaBar et al., 2001). Similarly, our previous study in mice showed stronger hunger modulation in LVAC than in V1 (Burgess et al., 2016). Here, we identified a small number of neurons in V1 that had similar stimulus response features to PO neurons in LVAC. Visual responses in these “PO-like” V1 neurons were strongly biased to the food cue and sensitive to hunger state, similar to previous studies showing increased coding of cues predicting rewards in rodent V1 (Poort et al., 2015; Shuler and Bear, 2006). Value-related activity in PO-like V1 neurons may arise from top-down feedback projections from PO neurons in LVAC (Gilbert and Li, 2013; Wang et al., 2012), from other higher visual areas and non-visual inputs (Buffalo et al., 2010; Burgess et al., 2016; Makino and Komiyama, 2015; Zhang et al., 2014).
The overall increase in food cue response enhancement in LVAC vs. V1 appears mainly due to a larger fraction of LVAC neurons with short-latency visual responses that encode predicted value vs. identity. Consistent with these findings, a recent study found that many neurons in mouse parietal association cortex (PPC) tracked sensorimotor contingencies associated with the “Go” response across a reversal in cue-outcome contingencies, while only a few PPC neurons tracked stimulus identity, whereas the converse was observed in V1 (Pho et al., 2018).
What might be the purpose of identity-coding neurons in lateral visual association cortex? A recent study found that while visual and non-visual information is present in rostral visual association cortex, neurons in this area that project to secondary motor cortex preferentially deliver “pure” visual information, while reciprocal feedback to this area delivers “pure” motor information (Itokazu et al., 2018). Delivery of low-level visual information to downstream brain areas may guide motor performance or provide prediction error signals during learning. We speculate that a similar loop exists between LVAC and lateral amygdala (LA), in which inputs from LVAC to LA encode low-level stimulus features, while inputs from LA to LVAC carry information regarding motivational context (Burgess et al., 2016) and target PO neurons. Thus, LVAC may deliver high-fidelity sensory information to limbic regions important for encoding of motivational salience, while providing context-dependent estimates of the motivational salience of a stimulus to earlier visual areas, thereby biasing bottom-up processing.
At first blush, the finding that ID neurons in mouse LVAC do not demonstrate sensitivity to cue saliency might appear inconsistent with studies of attentional gain modulation of orientation-tuned neurons in macaque higher visual cortical areas (McAdams and Maunsell, 1999; Reynolds and Chelazzi, 2004). However, the magnitude of attentional modulation in these studies is often reduced when using high contrast and easily discriminable visual stimuli (see Reynolds and Chelazzi, 2004) similar to those employed in our task.
Visual responses emerge with learning in a subset of cortical neurons
We additionally identified a subset of neurons that were not initially visually responsive in well-trained mice, but that subsequently developed cue-evoked visual responses and hence were “recruited” with new learning. Previous work in the amygdala, hippocampus, and cortex has shown that neurons with increased excitability are more likely to be incorporated into the memory representation of a salient experience (Cai et al., 2016; Josselyn et al., 2015; Sano et al., 2014). We suggest that Recruited neurons may be more excitable at the time of new learning, and thus predisposed to integrate into newly formed cue-outcome associative representations. In support of this, Recruited neurons showed a strong response bias to the new food cue, and became increasingly integrated into the PO ensemble, as they showed stronger correlations with PO neurons post- and even pre-Reversal.
In summary, we have identified separate but intermingled ensembles in lateral visual association cortex that predominantly encode stimulus identity or predicted outcome across a switch of cue-outcome associations. Our chronic imaging approach sets the stage for testing the circuit and synaptic mechanisms by which this brain region maintains a faithful representation of the visual features of the external world as well as a flexible representation of the predicted value of learned cues.
CONTACT FOR REAGENT AND RESOURCE SHARING
Further information and requests for resources and reagents should be directed to and will be fulfilled by the Lead Contact, Mark Andermann (manderma@bidmc.harvard.edu).
EXPERIMENTAL MODEL AND SUBJECT DETAILS
All animal care and experimental procedures were approved by the Beth Israel Deaconess Medical Center Institutional Animal Care and Use Committee. Mice (n=15, male C57BL/6) were housed with standard mouse chow and water provided ad libitum, unless specified otherwise. Mice used for in vivo two-photon imaging (age at surgery: 9–15 weeks) were instrumented with a headpost and a 3 mm cranial window, centered over lateral visual association cortex including postrhinal cortex (window centered at 4.5 mm lateral and 1 mm anterior to lambda; the exact retinotopic location of visual postrhinal association cortex (visPOR) was determined via intrinsic signal mapping; see below and Goldey et al., 2014). Portions of the data in Figure 8 involve new analyses of a previous dataset (n=8 mice; Burgess et al., 2016).
METHOD DETAILS
Behavioral training
After at least one week of recovery post-surgery, animals were food-restricted to 85–90% of their free-feeding body weight. Animals were head-fixed on a 3D printed running wheel for habituation prior to any behavioral training (10 minutes to 1 hour over 3–4 days). If mice displayed any signs of stress, they were immediately removed from head-fixation, and additional habituation days were added until mice tolerated head-fixation without visible signs of stress. On the final day of habituation to head-fixation, mice were delivered Ensure (a high calorie liquid meal replacement) by hand via a syringe as part of the acclimation process. Subsequently, we trained the animals to associate licking a lickspout with delivery of Ensure, by initially triggering delivery of Ensure (5 μL, 0.0075 calories) to occur with every lick (with a minimum inter-reward-interval of 2.5 s). We tracked licking behavior via a custom 3D-printed, capacitance-based lickspout positioned directly in front of the animal’s mouth. All behavioral training was performed using MonkeyLogic (Asaad and Eskandar, 2008; Burgess et al., 2016).
For the Go-NoGo visual discrimination task, food-restricted mice were trained to discriminate square-wave drifting gratings of different orientations (2 Hz and 0.04 cycles/degree, full-screen square-wave gratings at 80% contrast; the same 3 orientations were used for all mice; for example: food cue (FC): 0°, quinine cue (QC): 270°, neutral cue (NC): 135°; grating orientations were counterbalanced across mice). All visual stimuli were designed in Matlab and presented in pseudorandom order on a calibrated LCD monitor positioned 20 cm from the mouse’s right eye. All stimuli were presented for 3 s, followed by a 2-s window in which the mouse could respond with a lick and a 6-s inter-trial-interval (ITI). The first lick occurring during the response window triggered delivery of Ensure or quinine during FC or QC trials, respectively. Licking during the visual stimulus presentation was not punished, but also did not trigger delivery of the Ensure/quinine. The lickspout was designed with two lick tubes (one for quinine and one for Ensure) positioned such that the tongue contacted both tubes on each lick.
Training in the Go-NoGo visual discrimination task progressed through multiple stages. The first stage was Pavlovian FC introduction, followed by FC trials in which reward delivery depended on licking during the response window (‘go’ trials in which licking during the response window led to delivery of 5 μL of Ensure), and finally by the introduction of QC and NC trials (‘no-go’ trials in which licking during the response window led to delivery of 5 μL of 0.1 mM quinine and nothing, respectively) as described in Burgess et al. (2016). Mice were deemed well-trained (d’ > 2; loglinear approach, Stanislaw and Todorov, 1999) following ˜2–3 weeks of training. Performance in well-trained mice involved sessions including equal numbers of FC, QC, and NC trials. We began all imaging and behavior sessions with presentation of 2–5 Pavlovian FC trials involving automatic delivery of Ensure reward, as a behavioral reminder. Pavlovian FC trials also occurred sporadically during imaging (0–15% of trials) to help maintain engagement. None of these Pavlovian FC presentations were included in subsequent data analyses, unless specifically mentioned.
Pharmacological silencing experiments proceeded as follows: experiments took place once mice were fully trained, and only for mice weighing ˜85% of free-feeding weight. We removed the dummy cannulae and inserted stainless steel cannulae to target visual association cortex centered on POR (internal: 33-gauge; Plastics One). Each day, mice were tested on 100 trials of the task to ensure good performance. We then injected 50 nL of muscimol solution (2.5 ng/nL) or saline at a rate of 50 nL/min. After infusion, the injection cannulae were replaced with the dummy cannulae, and behavioral testing started 20 min later. Mice performed 400 trials post-injection. Each run started with 5 Pavlovian food cue trials, then 10 operant food cue trials. Pavlovian food cue trials also occurred sporadically (5% of trials) throughout training. None of these Pavlovian food cue presentations were included in the behavioral or neural data analyses. We verified cannula location for every animal and included in subsequent analyses all animals with verified locations of cannulae in POR.
‘Reversal’ training paradigm involving a switch in cue-outcome contingencies
Once mice stably performed the Go-NoGo visual discrimination task with high behavioral performance (d’ > 2) for at least two days, we switched the cue-outcome associations. The switching of cue-outcome associations consisted of a clockwise rotation of the outcome associated with each of the three visual oriented drifting gratings (Figure 1D). If the initial cue-outcome associations were: FC: 0°, QC: 270°, and NC: 135°, then switching the cue-outc ome associations would involve switching the FC from 0° → 270°, the QC from 270° → 135°, and the NC from 135° → 0°.
As mentioned above, we classified sessions as containing high behavioral performance when the discriminability, d’, had a value greater than 2. To calculate d’, we pooled false-alarm trials containing a QC or a NC. Separately, we pooled correct-reject trials containing a QC or a NC. This metric allowed us to divide up the behavioral performance across sessions into 3 different epochs: (i) “pre-Reversal” – before the cue-outcome associations have been changed and while the mice exhibit high behavioral performance (d’ > 2); (ii) “during-Reversal” – after the cue-outcome associations have been switched and while the mice exhibit poor behavioral performance (d’ < 2), and (iii) “post-Reversal” – an epoch in which the mice again exhibit high behavioral performance (d’ > 2). We use the term “Reversal” to refer to the switch in cue-outcome associations, even though it is a rotation of the outcome associated with each stimulus orientation, rather than a strict Reversal of the food-associated stimulus and the quinine-associated stimulus. The Reversal could take as little as 3 days and as long as 2 weeks.
During initial training following Reversal, more FC trials were given in order to facilitate learning and maintain task engagement. Over the subsequent days of the during-Reversal epoch, we increased the number of QC and NC trials until equal numbers of FC, QC, and NC trials were presented (all pre-Reversal and post-Reversal sessions contained equal numbers of each trial type).
Intrinsic signal mapping
To delineate visual cortical areas, we used epifluorescence imaging to measure stimulus-evoked changes in the intrinsic autofluorescence signal (Andermann et al., 2011) in awake mice. Autofluorescence produced by blue excitation (470 nm center, 40 nm band, Chroma) was measured through a longpass emission filter (500 nm cutoff). Images were collected using an EMCCD camera (Rolera EM-C2 QImaging, 251 × 250 pixels spanning 3 × 3 mm; 4 Hz acquisition rate) through a 4x air objective (0.28 NA, Olympus) using the Matlab Image Acquisition toolbox. For retinotopic mapping, we presented Gabor-like patches at 6–9 retinotopic locations for 8 s each (20 degree disc, 2 Hz, 0.04 cycles/degree, 45° or noise patch), with an 8 s int er-stimulus interval. Analysis was performed in ImageJ and Matlab (as in Andermann et al., 2011; Burgess et al., 2016). We isolated POR from LI/LM most easily using stimuli centered at varying vertical locations (from high-to-low stimulus elevation) in the medial/nasal visual field, which translated to medial-to-lateral locations of peak neuronal responses, respectively. We isolated area POR from area P by comparing responses to stimuli positioned at nasal vs. lateral locations in visual space, corresponding to posterior-to-anterior locations of peak neuronal responses in POR but not in P, as expected from Wang and Burkhalter (2007). Following retinotopic mapping for identification of POR, the cranial window was removed, AAV1-Syn-GCaMP6f was injected into POR (100–150 nL into layer 2/3; UPenn Vector Core), and the window was replaced (Goldey et al., 2014). We centered our imaging field of view on POR (visPOR, Allen Brain Atlas), as opposed to cytoarchitectonic POR (Beaudin et al., 2013).
Two-photon calcium imaging
Two-photon calcium imaging was performed using a resonant-scanning two-photon microscope (Neurolabware; 31 frames/second; 787×512 pixels/frame). All imaging was performed with a 16x 0.8 NA objective (Nikon) at 1x zoom (˜1200 × 800 μm2). All imaged fields of view (FOV) were at a depth of 110–250 μm below the pial surface. Laser power measured below the objective was 25–60 mW using a Mai Tai DeepSee laser at 960 nm (Newport Corp.). Neurons were confirmed to be within a particular cortical area by comparison of two-photon images of surface vasculature above the imaging site with surface vasculature in widefield intrinsic autofluorescence maps, aligned to widefield retinotopic maps (Andermann et al., 2011; Burgess et al., 2016).
QUANTIFICATION AND STATISTICAL ANALYSIS
For analysis of behavior, n refers to the number of mice, and for comparisons of neural activity n refers to the number of neurons. Where appropriate statistical tests were performed across mice in addition to across neurons. These n values are reported in the results and in the figure legends.
Statistical analyses are described in the results, figure legends, and below in this section. In general, we used non-parametric statistical analyses (Wilcoxon sign-rank test, rank-sum test, Kruskal-Wallis tests) or permutation tests so that we would make no assumptions about the distributions of the data. All statistical analyses were performed in Matlab and p < 0.05 was considered significant (with Bonferroni correction for the number of tests where applicable). Quantitative approaches were not used to determine if the data met the assumptions of the parametric tests.
Lick behavior analysis
We additionally quantified behavioral performance by assessing the fraction of trials in which the animal licked to each cue (Figure 1F; Figure S1B). Following the change in cue-outcome associations, we observed a decrease in cue-evoked licking and an increase in levels of “baseline” or non-specific licking. We quantified this by using a lick-learning index (Jurjut et al., 2017) that compares the number of licks in the one-second period prior to cue presentation (LicksPreCue) and the number of licks in the last second of cue presentation (LicksCue; Figure S1C; lick-learning index = [LicksCue – LicksPreCue]/[LicksCue + LicksPreCue]; a value of 1 means that, for every trial, there were zero licks prior to cue onset and there is anticipatory licking before cue offset). We also quantified how stereotyped the licking behavior was at various stages prior to and following Reversal. We smoothed the lick raster plot with a Gaussian filter (σ: 1 second) and then calculated the correlation of each trial’s smoothed lick timecourse with the mean across all smoothed lick timecourses for all trials of a given type. Importantly, we only included the timecourse on each trial up to delivery of the outcome, so that we would not be correlating periods with consummatory licking. The value plotted is the mean correlation value across trials. A value of 1 would indicate that the animal demonstrated identical lick dynamics in every trial that included a behavioral response (Figure S1D).
Image registration and timecourse extraction
To correct for motion along the imaged plane (x-y motion), each frame was cropped to account for edge effects (cropping removed outer ˜10% of image) and registered to an average field-of-view (cropped) using efficient subpixel registration methods (Bonin et al., 2011). Within each imaging session (one session/day), each 30-minute run (4–6 runs/session) was registered to the first run of the day. Slow drifts of the image along the z-axis were typically < 5 μm within a 30-minute run, and z-plane was adjusted between runs by eye or by comparing a running average field-of-view to an imaged volume ± 10 μm above and below our target field-of-view. Cell region-of-interest (ROI) masks and calcium activity timecourses (F(t)) were extracted using custom implementation of common methods (Burgess et al., 2016; Mukamel et al., 2009). To avoid use of cell masks with overlapping pixels, we only included the top 75% of pixel weights generated by the algorithm for a given mask (Ziv et al., 2013) and excluded any remaining pixels identified in multiple cell masks.
Fluorescence timecourses were extracted by (non-weighted) averaging of fluorescence values across pixels within each ROI mask. Fluorescence timecourses for neuropil within an annulus surrounding each ROI (outer diameter: 50 μm; not including pixels belonging to adjacent ROIs) were also extracted (Fneuropil(t): median value from the neuropil ring on each frame). Fluorescence timecourses were calculated as Fneuropil_corrected(t) = FROI(t) – w * Fneuropil(t). The neuropil weight was calculated by maximizing the skewness of the difference between the raw fluorescence and the neuropil per day (Bonin et al., 2011), imposing a minimum of 0 and a maximum of 1.5. Most neuropil weights ranged between 0.4 – 1.4. A running estimate of fractional change in fluorescence timecourses was calculated by subtracting a running estimate of baseline fluorescence (F0(t)) from Fneuropil_corrected(t), then dividing by F0 (t): ΔF/F(t) = (Fneuropil_corrected(t) - F0(t))/ F0(t). F0(t) was estimated as the 10th percentile of a trailing 32-s sliding window (Burgess et al., 2016; Petreanu et al., 2012). For visualization purposes, all example cue-evoked timecourses shown were re-zeroed by subtracting the mean activity in the 1 s prior to visual stimulus onset.
Normalization of traces
For all traces shown in Figure 2D and Figure 6B, we normalized within day to the largest overall mean response from 0–1 seconds post-stimulus onset. This was done in order to illustrate the dynamics of the neuron’s response to all 3 cues, and to control for differences in response magnitude and/or in z-sectioning of the cell across sessions. For the across-day response plots in Figure 2D, bottom, and the timecourses in Figure 2G, we normalized the mean response for each cue by the sum of all three responses, thereby focusing on the relative magnitude of each response. For all mean timecourse plots, we smoothed individual trials by 3 frames. For the single trial heatmaps (Figure 2C), we smoothed each trial by 500 ms.
To plot the timecourses of all visually driven neurons on a single day (Figure S5C), we used an auROC (area under the receiver operating characteristic) timecourse (Burgess et al., 2016). We calculated this timecourse each day by binning (93 ms bins) the ΔF/F response of single trials and comparing each bin with a baseline distribution (binned data in the 1 s prior to stimulus onset, for all trials of a given cue type within a session) using an ROC analysis. For this analysis, we included all trials regardless of behavioral performance. This analysis quantifies how discriminable the distribution of activity in a given bin is relative to the baseline activity distribution. For example, if the two distributions are completely non-overlapping, the auROC yields an estimate of 1 (clear increase in activity on every trial; all post-baseline firing rate values are larger than all baseline firing rate values; gold) or 0 (clear decrease in activity; all post-baseline firing rate values are smaller than all baseline firing rate values; light blue), while an auROC estimate of 0.5 indicates that the distributions of baseline activity and of post-baseline activity are indistinguishable (white).
Alignment of cell masks across days
For imaging of cell bodies in POR, we chose one set of cell masks for each day. All analyses for the alignment of cell masks across days were semi-automated with the aid of custom Matlab GUIs. To align masks across any pair of daily sessions, we first aligned the mean image from each day by estimating the displacement field using the Demon’s algorithm (Thirion; Vercauteren et al., 2009). This was done for all pairwise combinations of days. This displacement field was then applied to each individual mask for each pair of days. If at least a single pixel overlap existed between 2 cell masks, we calculated a local 2D correlation coefficient to obtain candidate masks of the same cell across multiple days. We then used a custom Matlab GUI to edit these suggestions, and another GUI to confirm each cell across days (Figures 2D & 6B). Thus, each cell aligned across days was manually observed by eye two times for confirmation. Note that the image registration and warping techniques were applied only to masks for alignment suggestion purposes and were never applied to cell masks for fluorescence timecourse estimation. To visualize neurons tracked across days for Figure 2 and 6, we took the mean image of the 200 frames where that neuron had the highest activity (from extracted timecourses).
Criteria for visually responsive neurons
To determine if a cell was visually driven, we independently tested its cue-evoked response to each cue (FC, QC, or NC) for each day the cell was identified, using conservative criteria. For each cell and each visual cue, we calculated the cue-evoked response up to 100 ms prior to the first lick post-stimulus onset, on every trial (to protect against behaviorally-modulated activity). To ensure fair comparisons across all cues, we excluded all neural activity for all cues after the median lick latency to the FC on that particular imaging session. This criterion ensured that responses were not integrated over a longer duration for QC or NC trials vs. FC trials, particularly during sessions with high behavioral performance in which licking was largely limited to FC trials). We also eliminated any trials with licking in the 1 s prior to the cue presentation or in the first 250 ms following cue presentation. Unless otherwise specified, these steps were used to obtain mean single-trial responses from ‘clean’ single trials in all subsequent analyses. We binned the peri-stimulus fractional change in fluorescence (ΔF/F) timecourse into 3-frame bins (˜93 ms/bin) and performed a Wilcoxon Sign-Rank test for each bin (as compared to a 1 s baseline period prior to stimulus onset) with Bonferroni correction for comparison across multiple bins. We tested each bin (starting at cue onset), advancing in time until there were fewer than 10 trials (of a given cue type) contributing to a given bin (with increasing time following cue onset, a decreasing number of trials existed for which a lick response had not yet occurred). For a cell to be considered visually responsive, we required 3 consecutive significant bins (i.e. ˜279 ms of significantly elevated activity above baseline, using the Wilcoxon Sign-Rank test described above). Cells were deemed to be visually responsive on a given day if there was a significant increase in activity to at least one visual cue. A cell’s ‘preferred’ visual cue on each day that the cell was driven was determined as the cue evoking the largest mean response from 0–1 s post stimulus onset.
Identification of functional groups of neurons
Neurons were only included in Predicted Outcome (PO), Identity, or Broadly-tuned categories if they were visually driven both pre- and post-Reversal (a total of 179 neurons met this criterion). We compared each neuron’s post-Reversal response to all 3 cues to its pre-Reversal response to all 3 cues. Using three different circular shifts of the cue-outcome contingencies (i.e. rotation of the outcomes associated with each cue, as in Figure 1D), we could estimate three hypothetical response tuning curves of a neuron post-Reversal based on its pre-Reversal tuning, under the three hypotheses that the neuron was either perfectly Identity, Predicted Outcome, or Broadly-tuned. If a neuron was an Identity neuron, we would expect it to respond similarly to the same orientation, regardless of the predicted outcome (dashed purple arrow post-Reversal vs. black arrow pre-Reversal; Figure S2A). This would be represented by a tuning curve that underwent no circular shift following Reversal. If the neuron was a Predicted Outcome neuron, we would expect it to circularly shift in a clockwise manner to match the clockwise shift in predicted outcome (dashed orange arrow post-Reversal vs. black arrow pre-Reversal; Figure S2A). The third ‘control’ circular shift of the pre-Reversal tuning curve was in the counterclockwise direction (i.e. a shift in an unexpected “null” direction; dashed green arrow post-Reversal vs. black arrow pre-Reversal; Figure S2A). See Supplemental Table 1 for an example response of a given neuron pre-Reversal, and the predicted response tuning post-Reversal under these three hypothetical rotations.
After estimating all three candidate post-Reversal response tuning profiles, we normalized all candidate 3-cue post-Reversal response vectors to unit vectors and calculated the angle between the actual post-Reversal response vector (also converted to a unit vector) and the three candidate post-Reversal response vectors (dotted orange, purple, and green angle: θStimulus feature (SF) = actual angle post reversal relative to predicted rotation for an Identity (ID) neuron; θPredicted outcome (PO) = actual angle post reversal relative to predicted rotation for a Predicted Outcome (PO) neuron; θNull = actual angle post reversal relative to predicted rotation for neuron that tracks the null rotation; Figure S2A–B). Because all vectors were unit vectors, this was proportional to taking the Euclidean distance between the two vectors.
For each neuron tracked across the Reversal, three angles were calculated (Figure S2B). We assigned each neuron to one of three groups. PO neurons were selected as those that tracked predicted outcome, in that they had a post-Reversal unit vector that most resembled the hypothetical rotation tracking predicted outcome (θPredicted outcome (PO) < θStimulus feature (SF), θNull). ID neurons were selected as those that tracked the same visual stimulus feature across Reversal (θSF < θPO, θNull). The smaller the angle, the higher the precision of tracking (Figure S2B).
A subset of neurons initially classified as PO or ID neurons had similarly small angles to all three candidate rotations (θNull ≈ θSF ≈ θPO). As described below, these neurons behaved similarly to those neurons for which the post-Reversal rotation best matched a rotation in the unexpected ‘null’ direction (θNull < θSF, θPO). We identified these PO and ID neurons using agglomerative hierarchical clustering and moved them to a Broadly-tuned category (together with the null-preferring neurons in which θNull < θSF, θPO). For all of these neurons, θNull was quite similar to θPO and θSF (Figure S2B, right; < 2% of these neurons had a substantially smaller angle to the null rotation vs. to other candidate rotations, θNull << θSF or θPO, and this small subset was excluded from all further analyses). In effect, all neurons in the Broadly-tuned category had similar angular distances to all three candidate rotations post-Reversal because they were broadly and similarly responsive to all three visual cues, hence the name “Broadly-tuned neurons”. Thus, regardless of the circular shift, the calculated θSF, θPO, and θNull for these neurons would always be similar. Importantly, the actual breadth of tuning was not used for classification, this label simply reflects why all three angles were of comparable magnitude. All three angular distances for each neuron are shown in Figure S2B.
We calculated a metric of confidence that a given neuron could be decisively categorized as belonging to a given group. To this end, we normalized all angular distances by dividing each angle by the largest angle pooled across all neurons and subtracting this from 1 (to put all neurons in a range of 0–1 with 0 being low confidence and 1 being high confidence; Ci = 1-[θi/θAllMax] where i is Stimulus Feature (SF), Null, or Predicted Outcome (PO)) such that a Predicted Outcome neuron categorized with the highest confidence would have confidence metrics (C) [CPO, CSF, CNull] = [1,0,0], while an Identity neuron categorized with the highest confidence would have confidence metrics [CPO, CSF, CNull] = [0,1,0] (Figure S2D). We additionally plotted all pairwise distributions of confidence values for all PO, ID, and BR neurons (Figures S2C; x axes calculated as the projection of all 3 confidence metrics onto the relevant axis; for 3D plot that we don’t collapse along any particular axis, see Figure S2D; all histograms in Figures S2C and 2F represent the projection of all neurons onto a particular axis). For the heatmap showing the precision of tracking at the bottom of Figure 2F, which corresponds to the precision for cells at the corresponding bin in the histogram above the heatmap, we used a rolling bin size of 0.3 arbitrary units. We plotted the response of each experimentally tracked neuron to its preferred cue pre-Reversal (Figure 2G left), and the post-Reversal response of the same neuron to the same predicted outcome (i.e. pre-Reversal FC → post-Reversal FC), or to the same orientation (i.e. pre-Reversal 0° → post-Reversal 0°; Figure 2G right). As expected, we found that PO neurons responded to the same predicted outcome and ID neurons responded more to the same orientation.
In order to plot results across cells without using pre-defined categories such as Predicted Outcome, Identity, or Broadly-tuned, we additionally plotted results against the stimulus orientation / predicted outcome axis used in Figure 2F (see e.g. Figure 3b). We used bins of 0.33 arbitrary units (on a scale from −1 to 1; −1: purely tracks stimulus identity, +1: purely tracks predicted outcome). Regardless of a neuron’s category, we assigned each of the 179 neurons that were visually responsive pre- and post-Reversal to one of these 6 bins. We used this as a way to plot food cue response bias, reward history, and correlation effects without lumping neurons into discrete functional categories (i.e. into ID, PO or BR categories).
Noise correlations
To calculate noise correlations, we sub-selected those neurons within each mouse on each day that were driven to the FC and calculated the pairwise correlation of trial-by-trial FC responses between pairs of neurons (single-trial responses were estimated using the mean of all timepoints from 0–2 s post-stimulus onset, or from 0 s up to 100 ms before the first lick, whichever came first). For each pair of neurons, we obtained a single correlation value per day. From this value, we subtracted the mean of 500 bootstrapped correlations in which we shuffled the trial order among cues of the same type and recalculated the correlation. This controls for differences in Fano factor between neurons, and accounts for contributions of the tuning curve of mean evoked responses (i.e. shared stimulus-evoked response tuning). We computed noise correlations for all pairs of FC visually driven neurons on days when the animal exhibited high task performance (d’ > 2). The noise correlations estimated from a single session are shown in Figure S5E (left: correlation matrix; right: pooled bar plot). Additionally, we sub-divided ID neurons into those neurons that prefer the FC orientation, the QC orientation, or the NC orientation, and performed the same noise correlation analysis described above on each subset. Importantly, we only included those neurons that were also significantly responsive to the FC, regardless of their stimulus preference.
Spontaneous event cross-correlations
To estimate spontaneous event cross-correlations between pairs of neurons (Figure 5F–G, 7G, 8F, S5B,D), we performed deconvolution on the raw calcium activity traces (Pnevmatikakis et al., 2016) and only calculated cross-correlation coefficients during moments of time in which a stimulus was not on the screen (all activity during stimulus presentation was excised). We then calculated the spontaneous event cross-correlation for these concatenated inter-trial-interval (ITI) periods. From this, we subtracted the mean of 50 bootstrapped cross-correlations where we shuffled the ITI periods prior to concatenating, in part to account for differences in baseline activity. For comparisons across groups, we focused on the cross-correlation values at a lag of 0 s. The spontaneous cross correlation values from a single session are shown in Figure S5D (left: correlation matrix; right: bar plot of mean correlations for different sets of neuron pairs). We additionally sub-divided ID neurons into those neurons that prefer the FC orientation, the QC orientation, or the NC orientation, and performed the same analysis (Figure 5G).
Quantification of response bias
We quantified the bias in average population response towards a given cue, as follows. For each visually-driven neuron, we calculated the mean response to all three visual cues from 0–1 s post-stimulus onset. We only included activity up to 100 ms before the first lick on any given trial or up to the median lick time for all FC trials (applied to FC, QC, and NC trials). We then set any negative responses to zero and normalized the resulting 3-point tuning curve by the largest cue response (responses to each cue could range from 0–1). To calculate the cue response bias, we then took the response of each visually-driven neuron to a given cue and divided it by the summed response to all 3 cues (bias = 1 if a neuron responded to only one cue, bias = 0.33 if a neuron responded equally to all 3 cues). We calculated the response bias of the population by averaging across all visually driven neurons.
Quantification of reward history modulation
To quantify the effects of reward history on neural responses, we asked how the magnitude of the response to a given cue was affected by whether the previous trial was rewarded. We compared the response magnitude of each neuron’s preferred stimulus when the previous trial was a rewarded FC (RFC→Pref) vs. the response magnitude when the previous trial was a non-rewarded cue (RnonFC→Pref). Note that licking to a reward ceased well before the onset of the following trial, and that the 6–8-s inter-trial interval ensured that earlier increases in GCaMP6f fluorescence could return to baseline levels. To quantify modulation by previous reward history, we created a reward history modulation index (RHMI) by normalizing the difference between these two history-dependent responses by the mean overall response: (RnonFC→Pref - RFC→Pref)/RPref. A RHMI value of 0 means that the response to the preferred stimulus is not modulated by whether or not the last trial was rewarded, a positive RHMI value means the response to the preferred stimulus is greater when the previous trial was an unrewarded trial, and a negative RHMI value means the response to the preferred stimulus is greater when the previous trial was a rewarded FC. To quantify the overall magnitude of recent reward history effects, we calculated the absolute value of RHMIs across all cells (Figure 3F).
Generalized linear model (GLM)
For each session, we fit a Poisson Generalized Linear Model (Driscoll et al., 2017; Friedman et al., 2010) to the estimated event rates of each cell, when taking into account behavioral and task variables. First, we downsampled deconvolved neural data (Pnevmatikakis et al., 2016) and all corresponding behavioral/task variables to 10 Hz. Our variables consisted of the times of lick onset of the animal following each trial onset, all individual licks (excluding lick onsets), Ensure delivery, quinine delivery, stimulus presentation (separated by cue type and behavioral response – hit, miss, correct reject, and false alarm), stimulus offsets (for all 3 cues), and the x-y shifts obtained during image registration (to represent brain motion). The downsampled, deconvolved neural activity was smoothed using a Gaussian filter (see below). Behavioral/task variables provided the input for basis functions. For each behavioral variable, we implemented a vector of Gaussian filters (all filters had a standard deviation of 1 second, overlapping and evenly distributed, 1 Gaussian/3 frames, 100 ms/frame). For lick onsets, our filters extended 1 second prior to lick onset and 2 seconds post lick onset, to account for ramping activity before the animal licks and activity following the initial lick. For all other licks, we replaced every lick (other than lick onsets) with a single filter. Ensure and quinine filters had the same structure as lick onset filters. For all stimulus presentations, the filters spanned the duration of the stimulus and after stimulus offset by 1 sec. For stimulus offset, the filters extended 4 seconds following the offset of a FC, QC, or NC. We convolved the derivative of the x-y shifts (to look at changes in activity due to brain motion) with the same kernel used for the neural activity.
We used the glmnet package to fit GLMs. Each imaging session consisted of 4–5 30-minute imaging runs. We trained on the first 75% of each run and tested on the remaining 25%. This allowed us to control for slow changes that might happen with time. Parameters were fit for each cell separately with elastic net regularization consisting of 99% L2 and 1% L1 methods. Deviance explained was used as the metric of model fit (Driscoll et al., 2017). It was calculated by comparing the activity predicted by the model to the actual activity (for single frames) calculated using data not used during the fitting procedure. This was compared to the null model in which the predicted event rate was 1. We tested if the model prediction significantly described test data above chance by recalculating the deviance explained using circularly shifted neuronal activity (by at least 15 s; bootstrapped 50 times). For all experimentally identified neurons (tracked pre- and post-Reversal), we only accepted models whose deviance explained on non-circularly shifted data was significantly greater than the shuffled distribution of deviance explained values from circularly-shifted neuronal activity.
To examine the contribution of each behavioral variable towards explaining variability in neural activity, we recalculated the deviance explained using each individual behavioral variable alone. We then plotted the deviance explained by each behavioral variable, normalized to the total deviance explained by all variables (Figure 4D for just visual and motor pre- and post-reversal; Figure S4B for all behavioral variables used pre-, during-, and post-Reversal). We additionally confirmed the food cue response bias result by exclusively including those basis sets that were locked to the visual stimulus onset and not to licking or reward events in the absence of licking or motor confounds. The response coefficient instability metric was calculated by grouping all visual response components and calculating the Euclidean distance between (i) the coefficients on a single session and (ii) the mean coefficients across all daily sessions (Figure S4D). Larger distances suggest higher instability across days.
Joint tracking index
In order to quantify the degree of joint tracking by individual neurons, we asked if a neuron could partially track both the predicted outcome and a particular stimulus orientation across the Reversal (see example neuron in Figure 6B). Importantly, to distinguish such “joint tracking” neurons from those neurons that broadened their response tuning indiscriminately post-Reversal, we compared the post-Reversal response profile across the three stimulus orientations with what we would expect given the pre-Reversal response profile for neurons tracking the same stimulus orientation, the same predicted outcome, or a mix of both (see below). We designed an index that allowed us to distinguish between those neurons that purely tracked stimulus orientation or predicted outcome, those that were broadly tuned, and those that were “joint tracking:”
Joint tracking index = [POresidual] * [1 - SFresidual] * [1 – BROADLYresidual]
This index equals zero in the absence of any joint tracking and is greater than zero for neurons that demonstrate a mix of stimulus tracking and predicted-outcome tracking. More positive values of this index indicate a higher level of joint tracking.
To illustrate how this index works, we describe the three-point tuning curves of a given neuron pre- and post-Reversal. The pre-Reversal tuning curve is normalized to the peak response. For the example in the upper portion of the following table, the peak response pre-Reversal is to the FC, and the maximum response pre- and post-Reversal of a neuron is 1 (see Supplemental Table 2 for details).
For the sake of simplicity, we will consider the scenario where pre-Reversal the preferred cue is the FC and therefore the response to the FC is 1:
POresidual
Specifically, POresidual = 0 for purely ID neurons; > 0 for neurons that additionally track the predicted outcome
We define POresidual = (Response post-Reversal to an orientation associated with the outcome that the neuron preferred pre-Reversal) – (Response pre-Reversal to this same orientation)
For the example neuron in the above table: POresidual = [y – a], because the neuron initially preferred the FC; post-Reversal, the FC orientation is 270°, so the calculation is (post-Reversal response to the FC) – (pre-Reversal response to the same orientation as the orientation of the post-Reversal FC).
[1 - SFresidual]
This component ensures that purely outcome-tracking neurons do not have a positive joint tracking index.
For the example neuron in the above table: SFresidual = [1-x]. This is because the neuron initially preferred 0°; post-Reversal, 0° is the NC, so the calculation is (1-x) = (pre-Reversal response to the same orientation of the orientation of the post-Reversal NC) - (post-Reversal response to the NC); the order has to be flipped because it is 1 - SFresidual to ensure purely outcome-tracking neurons = 0 (see below).
For example, if this neuron only responded to the FC both pre-Reversal ([1,a,b] = [1,0,0]) and post-Reversal ([x,y,z] = [0,1,0]), then for this purely FC-tracking neuron, [1-SFresidual ] = [1-[1-x]] = 0, ensuring that the joint tracking index equals zero for this example neuron.
[1 - BROADLYresidual]
This component ensures that neurons that are not tracking either SF or PO but are instead broadening their response following Reversal do not have a positive joint tracking index.
For the example neuron above: BROADLYresidual = [z – b] because a neuron that jointly tracks stimulus features and predicted outcome in the above example should change its responses to the FC and to the orientation of the pre-Reversal FC, but should not change its response to an orientation that was not the orientation of the FC pre-Reversal or post-Reversal, and thus an increase in response to this orientation (135° in the above example) affects the BROADLYresidual = [z – b], and correspondingly would indicate a broadening of tuning. In this way, a neuron with no broadening of tuning (BROADLYresidual = 0) would lead to [1- BROADLYresidual] = 1, and thus this component would not attenuate the joint tracking index.
For example, if this neuron only responded to the FC pre-Reversal ([1,a,b] = [1,0,0]) but post-Reversal still prefers the same orientation but now broadens its tuning curve without any actual joint tracking of predicted outcome (e.g. post-Reversal tuning of [x,y,z] = [1,1,1]), then for this broadening neuron, [1-BRresidual ] = [1-[z-b]] = 0, ensuring that the joint tracking index equals zero for this example neuron.
To determine if a neuron demonstrated significant joint tracking, we tested whether it exceeded the 95% confidence intervals of a Normal distribution. We estimated this Normal distribution using all neurons with negative joint tracking index values, as we assumed these were aphysiological and thus due to ‘noise.’ 95% confidence intervals are shown as dashed gray lines in Figure 6C. Those neurons that were significantly above or below these confidence intervals were deemed significant. To quantify food cue enhancement in joint tracking neurons, we asked how much larger the FC response of a given neuron post-Reversal was compared to what we would expect from the FC response predicted by rotation of the set of pre-Reversal responses to the three cues. In the example above, this would be calculated as (y-a) (i.e. the FC response post-Reversal minus the response predicted from the pre-Reversal response to 270°, which is the FC orientat ion post-Reversal).
Spatial organization of the three functional categories
In order to quantify the spatial organization of our three functional categories, we calculated all pairwise distances between neurons within group and across group within our field of view (e.g. the distribution of distances between PO and PO neurons vs. the distribution of distances between PO and ID neurons). Our imaging field-of-view also spanned an area larger than retinotopically identified postrhinal cortex. In order to quantify if our results were true specifically in retinotopically identified postrhinal cortex or were also more broadly true in neighboring regions of lateral visual association cortex, we sub-selected the inner 65% of our field-of-view and labeled neurons in this area as being inside the “Center” and those neurons that weren’t as being “Outside.” We repeated the cue response bias analysis and pairwise correlation analyses with these distinct subsets of neurons.
Random Forests classifier
We trained a network of Random Forests classifiers (Breiman, 2001; Geng et al., 2004) to distinguish experimentally identified PO, ID, or BR neurons. A Random Forests classifier contains many classification trees, each of which “votes” for a specific class. The classifier pools over all trees for the final classification. Due to the uneven numbers of neurons in each category (PO neurons: 43; ID neurons: 83; BR neurons: 53), we trained 500 instances of a Random Forests classifier, each using a random sample of 32 neurons from each group for training. This left out at least 25% of the neurons in each group, and we used these neurons for cross-validation (PO neurons: 11; ID neurons: 51; BR neurons:21). Theoretically, the set-aside test data set for cross-validation should be unnecessary, and as expected, the ‘out-of-bag’ (those cases not used in the construction of each tree) classification accuracy matched our test set prediction accuracy (Figure S8B–C). Each Random Forests classifier had 100 decision trees. We additionally examined how the number of features sampled at each decision split would affect classification performance. We found minimal effects of the number of features sampled at each decision split on either the test set or the out-of-bag prediction accuracy (Figure S8B–C). For all further analyses, we used the default number of features sampled (3) which is derived based on the number of total features (8 features; the default is the square root the number of features used). We also performed a control where, prior to building each classifier, we randomly shuffled the labels of PO, ID, or BR neurons to train the classifier but did not shuffle labels on the test set. We found that performance on the test set and the out-of-bag performance both dropped to chance levels (chance = 0.33 due to the use of 3 different groups of neurons; Figure S8B–C).
The metrics used for classification were as follows. The cue response selectivity was calculated as the median (across all pre- and post-Reversal recording sessions) of the response to the preferred cue (during that session) divided by the sum of responses to all cues. The response magnitude was calculated as the median ΔF/F (across all pre- and post-Reversal sessions) of the preferred response during that session. The Fano factor (FF) was calculated for the preferred cue during each session, we then used the median Fano factor across all sessions pre- and post-Reversal. To estimate latency of response, we calculated the timepoint for the mean evoked response at which the response first exceeded 3 standard deviations from baseline, where baseline was the 1 s prior to stimulus onset, and pooled across days (median). The latency variability (Latency FF) was the Fano factor of the latency calculated from single trials (for single trial comparisons, we reduced the above threshold to 2 standard deviations due to the noisier nature of this variable), pooled across days (median). The time-to-peak (TTP) of the response was calculated as the time of the peak response of the mean timecourse after stimulus onset for the preferred cue on each day, pooled across days (median). The ramp index (RI) was calculated as log2(RLate / REarly) where the RLate is the mean ΔF/F from 1.5–2 seconds post stimulus onset and the REarly is the mean ΔF/F from 0.25–0.75 seconds post stimulus onset (Makino and Komiyama, 2015). The locking to the 2 Hz temporal frequency was calculated by performing a trial-by-trial fast-Fourier transform on the preferred cue during stimulus presentation for each neuron per day, extracting the power from 1.75–2.25 Hz and normalizing by the power from 1–5 Hz (excluding 1.75–2.25 Hz; this normalization was done to account for differences in noise across neurons). We then took the mean across the two days (pre- and post-Reversal) with the highest temporal locking (if a neuron was only driven on one day, we took this value). To calculate significance, we fit a normal distribution to all values less than the median locking value across the population of all neurons and assigned significantly 2 Hz modulated neurons as those that had 2 Hz locking values that exceed 3.5 standard deviations of this normal distribution.
To assess the final neural ensemble prediction for all neurons, we took the mode classification of all neurons in each test data set across all classifiers. For each classification of a neuron as belonging to a certain class, we calculated the probability of that classification. For all classes, the probability is the fraction of observations of this class in a given classification tree leaf, averaged across all classification trees and across all classifiers. We calculated the Random Forests confidence for each class as the probability of the correctly classified class divided by the sum of all probabilities. We found a strong correlation between the confidence metric we used to group PO, ID, and BR neurons and this classification confidence (Figure S8E).
We then applied this classifier to all neurons that were significantly visually driven but that were not tracked across the entirety of the Reversal. We did this by analyzing the features described above, on all days in which neurons responded to visual stimuli. For all further analyses, we only included those neurons that were confidently classified (classification confidence > 0.6). PO-like, Identity-like, and Broadly-like neurons are those neurons that have similar low-level stimulus responses to PO neurons, ID neurons, and BR neurons, respectively. For all neurons, we also calculated “Random Forests proximities” (i.e. how often a pair of neurons ends up in the same terminal node of a decision tree; a value of 1 means every time, a value of 0 means never; Figure S8F and S8I).
To assess how PO-like and Identity-like neurons were modulated by changes in the hunger state of the mouse, we applied the classifier to previously published experiments involving recordings from neurons in layer 2/3 of V1 and POR (Burgess et al., 2016). We again only selected those neurons with high classifier confidence (confidence > 0.6) and calculated the FC bias and the reward history modulation of the neurons as described above. We also calculated the hunger modulation index, which we defined as the change in a neuron’s response to the FC when the animal was hungry vs. sated (hunger modulation index: [FCHungry – FCSated]/[FCHungry + FCSated]).
Neural ensemble similarity
We quantified how similar neurons were within each ensemble, as measured by their pattern of noise and spontaneous correlations. We first obtained a vector for each neuron containing 6 elements: the first 3 elements were the mean noise correlation of that cell with PO, ID, and BR neurons. The last 3 elements were the mean spontaneous cross-correlations of that cell with PO, ID, and BR neurons. This vector thus represents the interaction of a particular neuron with the PO, ID, and BR ensembles. We then calculated all pairwise correlations of all neurons in all categories using this vector. To obtain each individual value in the similarity matrix in Figure 7H, we examined all neurons belonging to two of the four ensembles (Recruited, PO, ID, or BR) and pooled across all relevant neuron pairs in those two ensembles (e.g. PO-PO, PO-ID, ID-ID pairs). A correlation value greater than zero between two ensembles suggests that neurons in those ensembles have similar patterns of noise and spontaneous correlations. A correlation value less than zero suggest neurons in those two ensembles have different patterns of noise and spontaneous correlations, and potentially different patterns of anatomical connectivity.
DATA AND SOFTWARE AVAILABILITY
Data are available upon request to the Lead Contact.
KEY RESOURCES TABLE
REAGENT or RESOURCE | SOURCE | IDENTIFIER |
---|---|---|
Antibodies | ||
Bacterial and Virus Strains | ||
AAV1.Syn.GCaMP6f.WPRE.SV40 | Penn Vector Core | CAT#100837-AAV1 |
Biological Samples | ||
Chemicals, Peptides, and Recombinant Proteins | ||
Critical Commercial Assays | ||
Deposited Data | ||
Experimental Models: Cell Lines | ||
Experimental Models: Organisms/Strains | ||
Mouse: C57BL/6J | Jackson | RRID: IMSR_JAX:000664 |
Oligonucleotides | ||
Recombinant DNA | ||
Software and Algorithms | ||
MATLAB R2015b | Mathworks | https://www.mathworks.com/products/matlab.html; RRID: SCR_001622 |
MonkeyLogic | Asaad & Eskandar, 2008 | http://www.brown.edu/Research/monkeylogic/ |
Scanbox | Neurolabware | https://scanbox.org/ |
PCA/ICA neuron identification | Mukamel, E. A., Nimmerjahn, A. & Schnitzer, M. J. 2009 | https://github.com/mukamel-lab/CellSort |
Demon’s algorithm | Thirion, Vercauteren et al., 2009 | https://www.mathworks.com/help/images/ref/imregdemons.html |
Glmnet | Friedman et al., 2010 | https://web.stanford.edu/~hastie/glmnet_matlab/ |
Calcium imaging deconvolution algorithm | Pnevmatikakis et al., 2016 | https://github.com/epnev/constrained-foopsi |
ImageJ 1.49t | NIH |
https://imagej.nih.gov/ij/; RRID: SCR_003070 |
Other | ||
Supplementary Material
Acknowledgments
We would like to thank Y. Livneh, J. Zaremba, K. McGuire and other members of the Andermann lab for useful discussions, M. Barbini, E. Bamberg, and G. Niyazov for help with mouse training, as well as O. Alturkistani and V. Flores-Maldonado for help performing cranial window surgeries. We thank Drs. Jayaraman, Kerr, Kim, Looger, and Svoboda and the GENIE Project at Janelia Farm Research Campus, Howard Hughes Medical Institute for use of GCaMP6. Support was provided by a Davis Family Foundation Postdoctoral Fellowship (CRB), NIH F31 105678 (RNR), NIH T32 5T32DK007516 (AUS), an NIH New Innovator Award DP2 DK105570 and R01 DK109930, a McKnight Scholar Award, a Pew Scholar Award, a Smith Family Foundation Award, and grants from the Klarman Family Foundation, the American Federation for Aging Research, and the Boston Nutrition and Obesity Research Center (MLA).
Footnotes
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Declaration of Interests
The authors declare no competing interests.
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