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Corticostriatal stimulation compensates for medial frontal inactivation during interval timing

Abstract

Prefrontal dysfunction is a common feature of brain diseases such as schizophrenia and contributes to deficits in executive functions, including working memory, attention, flexibility, inhibitory control, and timing of behaviors. Currently, few interventions improve prefrontal function. Here, we tested whether stimulating the axons of prefrontal neurons in the striatum could compensate for deficits in temporal processing related to prefrontal dysfunction. We used an interval-timing task that requires working memory for temporal rules and attention to the passage of time. Our previous work showed that inactivation of the medial frontal cortex (MFC) impairs interval timing and attenuates ramping activity, a key form of temporal processing in the dorsomedial striatum (DMS). We found that 20-Hz optogenetic stimulation of MFC axon terminals increased curvature of time-response histograms and improved interval-timing behavior. Furthermore, optogenetic stimulation of terminals modulated time-related ramping of medium spiny neurons in the striatum. These data suggest that corticostriatal stimulation can compensate for deficits caused by MFC inactivation and they imply that frontostriatal projections are sufficient for controlling responses in time.

Introduction

The prefrontal cortex is dysfunctional in psychiatric disorders such as schizophrenia1,2 and neurodegenerative disorders such as Huntington’s disease and Parkinson’s disease3,4. Prefrontal impairments are associated with executive dysfunction, including disruption of working memory, attention, flexibility, reasoning, and timing of behavioral responses5. Currently, few interventions can mitigate or compensate for prefrontal dysfunction in human disease.

Prefrontal neurons send axons to the basal ganglia6,7,8,9, and prefrontal impairments can disrupt the function of neurons in subcortical areas10. In the present study, we investigated whether manipulating the striatum could compensate for deficits in prefrontal function. To answer this question, we used interval timing, which assesses the ability of subjects to estimate an interval of several seconds based on a motor response. Interval timing is highly translational because it involves both prefrontal and striatal regions in rodents as well as in humans and other primates11,12,13,14 and the neuronal correlates in frontostriatal circuits are similar across species15,16,17. In addition, interval timing is relevant to our research question because it is reliably disrupted in human diseases that impair prefrontal function16,17,18,19,20.

A recent study from our group demonstrated that pharmacological inactivation of the rodent medial frontal cortex (MFC; dorsal prelimbic + anterior cingulate)21,22 impaired interval timing and attenuated a key neuronal correlate of temporal processing in the dorsomedial striatum (DMS): time-related ramping activity13,23. These data indicate that temporal processing by DMS neurons requires input via MFC axons, and predict that stimulating MFC → DMS axonal projections can compensate for deficits in temporal control of action as well as striatal temporal processing in animals with the MFC inactivated.

We tested this idea by inactivating the MFC and optogenetically stimulating the terminals of MFC axons in the DMS while rodents performed a 12-second (s) fixed-interval timing task. In animals with intact MFC function, optogenetic stimulation of MFC axon terminals in the DMS had few consistent effects. By contrast, in MFC-inactivated animals, optogenetic stimulation of MFC → DMS terminals improved response times, curvature of time-response histograms, and time-dependent ramping by DMS neurons. We interpret our results in the context of top-down frontal control of striatal activity, which could be relevant for efforts to mitigate prefrontal dysfunction.

Results

Optogenetic stimulation of MFC axons in the DMS normalizes interval-timing behavior

We investigated whether corticostriatal stimulation could compensate for MFC inactivation in 12 rats performing a 12-s interval-timing task. In these rats, both sides of the MFC had been injected with AAV-CamKIIa-ChR2 (MFC-ChR2; Fig. 1) or a control virus, AAV-mCherry. Animals were also implanted with bilateral MFC infusion cannulae. After the rats were acclimatized to infusion and recording procedures, both hemispheres of the MFC were bilaterally infused with either saline or the GABAA agonist muscimol, which reversibly and completely inactivates the MFC13,24,25. Following this infusion, all animals performed interval timing under three different laser stimulation parameters: no stimulation (No Stim), 2-Hz stimulation (2-Hz), or 20-Hz stimulation (20-Hz). Critically, stimulation was unilateral whereas inactivation was bilateral. We used a generalized linear mixed-effects model (GLMM) to capture effects of optogenetic stimulation on response times in sessions during which the MFC was inactive. In AAV-CamKIIa-ChR2 animals, this analysis revealed a significant interaction between MFC inactivation and optogenetic stimulation on response time (F = 5.2, p = 0.006; see Table 1 for stats; Fig. 2A,B). This interaction was not observed in control animals with AAV-mCherry (interaction: F = 0.9, p = 0.41).

Figure 1
figure 1

Interval-timing task paradigm and histology. (A) Depiction of the surgical approach for the combined optogenetic stimulation and electrophysiological recording experiments. Both MFCs were injected with AAV-ChR2 (or control AAV-mCherry without opsins), after which they were implanted with cannulae along with DMS optrodes (multielectrode recording arrays surrounding a fiber optic cannula). (B) Schematic of interval-timing task. A houselight cue signaled the onset of a trial. 12 s later, a reward was available in response to a lever press. MFC (DMS axons were optogenetically stimulated at 2 Hz or 20 Hz during the interval. (C) Left: Representative image of histology in the left hemisphere showing MFC cannula and DMS optrode tracts. Right: Histological reconstruction of placement of cannulae and optrode in 6 AAV-ChR2-injected animals. (D) Left: Histology of the left hemisphere of a control animal showing MFC cannula and expression of viral mCherry in the MFC and DMS fiber optics. Right: Histological reconstruction of placement of cannulae and fiber optics in 6 control AAV-mCherry-injected animals.

Table 1 Trial-by-Trial GLMM of response times.
Figure 2
figure 2

Stimulation of terminals of MFC → DMS axons influences the timing of responses during interval timing. (A) Average time-response histograms of behavior across laser stimulation conditions. We tested three laser stimulation conditions: No Stim (grey), 2-Hz (dark red), or 20-Hz (bright red). (B) Raster plots showing all responses of each animal in the study during interval-timing behavior following infusion of the MFC with muscimol (same colors as in A). (C) Average curvature values for animals across stimulation condition for MFC-Saline and (D) for MFC-Muscimol sessions across stimulation conditions; C and D are from the same 6 animals expressing AAV-CamIIK-ChR2 on separate infusion days. (E) Average curvature values for control animals across stimulation conditions in the MFC-Muscimol session; data from 6 separate animals expressing AAV-CamKII-mCherry. All data represent mean ± SEM from sessions in which MFC was inactivated using muscimol; *p < 0.05.

We also quantified interval-timing performance based on the ‘curvature’ of time-response histograms (Fig. 2C–E)26,27. In line with our past work, MFC inactivation with muscimol decreased the curvature of time-response histograms relative to saline sessions (0.26 ± 0.02 vs. 0.12 ± 0.02; paired t(11) = 3.5, p = 0.01; Fig. 2D). In support of our hypothesis, we found that 20-Hz optogenetic stimulation of the terminals of MFC axons within the DMS increased the curvature of time-response histograms when the MFC was inactivated in 6 animals with AAV- CamKIIa -ChR2 (Fig. 2D; 0.15 ± 0.03 vs. 0.21 ± 0.02; paired t(5) = 2.6, p = 0.05; Cohen’s d = 0.95). No significant effects were noted for 2-Hz stimulation, in animals with the MFC active, or in control animals with AAV-mCherry (Fig. 2D-E). A GLMM modeling effects of optogenetic stimulation and MFC inactivation on curvature revealed a main effect of MFC inactivation on curvature (F = 8.9, p = 0.006) and a trend towards an interaction between MFC inactivation and optogenetic stimulation (F = 2.6, p = 0.09). These data trend towards a dose-dependent response of MFC → DMS axonal stimulation in MFC-inactivation sessions.

To further analyze interval-timing behavior, we turned to single-trial analysis28. This analysis was developed for peak-interval-timing behavior to measure when rats start and stop responding; however, because we did a fixed-interval task we only analyzed the start times from our data. We found that MFC inactivation shifted the start times earlier in the interval (7.8 ± 0.3 s with muscimol vs 8.4 ± 0.2 s with saline; paired t(5) = 2.6, p = 0.05). By contrast, 20-Hz MFC → DMS axonal stimulation shifted start times later in the interval (8.8 ± 0.4 s; paired t(5) = 2.8, p = 0.04). Together, these data provide evidence that optogenetic stimulation of corticostriatal axons at 20 Hz influenced the temporal control of responses primarily when the MFC was inactive.

Optogenetic stimulation of MFC axons in DMS alters time-dependent ramping in DMS MSNs

Our recent work demonstrated that inactivating the MFC impaired interval timing and attenuated ramping activity in the DMS. Here, we tested the hypothesis that stimulation of MFC axons in the DMS increased time-dependent ramping of DMS neurons. We investigated this question by recording from DMS medium spiny neurons (MSNs; Fig. 3A) while inactivating the MFC and stimulating MFC → DMS axons in the 6 animals with AAV-CamKIIa-ChR2. Because the number of fast-spiking interneurons identified by our recording approach was only half that of MSNs, we focused our analyses on MSNs.

Figure 3
figure 3

Analysis of MSNs in DMS of animals performing the interval-timing task. (A) Separation of medium spiny neurons (MSNs; green) from interneurons (black) in the dorsomedial striatum (DMS) based on peak-to-trough duration and half-peak-width; ms = millisecond. (B) An MSN with increased firing after MFC-DMS axonal stimulation; note that this recording occurred with muscimol infused into MFC. (C) An exemplar DMS MSN exhibiting increased time-related ramping with 20-Hz stimulation of MFC → DMS axons; this neuron was recorded during MFC-Muscimol infusion. (D) Peri-event time histograms showing normalized firing rate of all MSNs within the DMS in MFC-Saline sessions and in (E) MFC-Muscimol sessions under each laser stimulation condition. Neurons are sorted based on the first principal component, which, as in our past work, is a ramping pattern of activity. Red indicates higher firing rates whereas blue indicates lower firing rate. Robust ramping was observed in MFC-Saline sessions; black arrow highlights increased number of positively-ramping neurons with 20-Hz stimulation.

We used a GLMM to analyze the effects of MFC inactivation and optogenetic stimulation on DMS firing (See Table 2). As in our past work, we found that DMS firing rates were affected by time in the interval (i.e., time-related ramping; F = 333.7, p = 1.5e−74) and an interaction between MFC inactivation and firing rates over time (F = 35.6, p = 2.5e−9)13. MFC axons comprise ~10% of the input to striatal MSNs; accordingly, we found no main effect of MFC inactivation on DMS firing. MFC axons release glutamate, and we found a main effect of MFC → DMS axonal stimulation on DMS firing (F = 8.3, p = 0.0003) that interacted with MFC inactivation (F = 5.5, p = 0.004). Furthermore, we found that DMS neurons could be modulated by MFC → DMS axonal stimulation (Fig. 3B).

Table 2 Trial-by-Trial GLMM of MSN firing rate.

Crucially, the GLMM indicated that there was an interaction between time, optogenetic stimulation, and MFC inactivation (F = 11.4, p = 0.00001; Table 2). These data indicate that optogenetic stimulation changes time-dependent ramping activity as a function of MFC inactivation. This insight was supported by peri-event time histograms which revealed increased time-dependent ramping on trials with 20-Hz optogenetic stimulation of MFC → DMS axons relative to 2-Hz or No-Stim trials in MFC-inactivation sessions (Fig. 3C,E). Such changes were not observed in MFC-Saline sessions (Fig. 3D). We also examined the slope of MSN ramping neurons in MFC-inactivation sessions. The slope was highest on trials with 20-Hz MFC → DMS axonal stimulation (0.05 ± 0.01 on 20-Hz trials vs. 0.03 ± 0.01 on No-Stim trials, paired t(50) = 2.5, p = 0.01, Cohen’s d = 0.26; when restricted to neurons that exhibited ramping: 0.06 ± 0.01 on 20-Hz trials vs. 0.04 ± 0.01 on No-Stim trials; paired t(38) = 2.1, p = 0.05). These analyses provide evidence that the interaction between time-dependent ramping, optogenetic stimulation, and MFC inactivation observed in the GLMM analysis was due primarily to increased time-dependent ramping on trials with 20-Hz optogenetic stimulation. Taken together, our results suggest that optogenetic stimulation of MFC axons in the DMS changed both response times and time-dependent ramping activity of DMS neurons as a function of MFC inactivation.

Discussion

We tested the hypothesis that stimulation of corticostriatal projections could compensate for temporal-processing deficits caused by prefrontal inactivation. We found that in animals in which the MFC was inactivated, stimulation of MFC → DMS axons at 20 Hz—but not 2 Hz—could normalize the curvature of time-response histograms and shift response times during interval timing. Furthermore, we found that optogenetic stimulation of MFC → DMS axons interacted with DMS time-dependent ramping activity as a function of MFC inactivation, tending to increase the slope of DMS ramping activity with 20-Hz stimulation in MFC inactivation sessions. Our results provide novel evidence that monosynaptic projections from the MFC to the DMS are sufficient to compensate for behavioral deficits in interval timing caused by MFC inactivation, and also suggest that these projections modulate temporal processing in the DMS.

MFC neurons are involved in top-down control of goal-directed behavior29,30,31. Consistent with our prior work, we found that MFC inactivation decreased the number of MSNs within the DMS that exhibited time-dependent ramping activity, implying that without input from the MFC, a key correlate of temporal processing in the DMS was attenuated. We found that optogenetic stimulation of MFC → DMS axons could interact with both time-dependent ramping activity and MFC inactivation, providing evidence that stimulation of these axons was sufficient to modulate time-related ramping in MSNs. However, we did not find that optogenetic stimulation increased the number of neurons in the DMS that exhibited time-dependent ramping. Our effect sizes, particularly in GLMMs, were small. However, our intervention was relatively restricted in that stimulation was unilateral but pharmacological inactivation was bilateral32,33. Whereas MFC inactivation reversibly and completely silences MFC networks25,34,35, our optogenetic approach likely stimulated only a small fraction of MFC axons due to the unilateral manipulation and the limitations of viral expression. Furthermore, corticostriatal projections to the striatum are highly organized and specific. Our optogenetic approach nonspecifically stimulated MFC axons. Finally, the activity of MFC neurons during interval timing is highly dynamic13, while our stimulation was constant across the interval. In light of these caveats, it is remarkable that the stimulation of corticostriatal terminals was sufficient to influence interval-timing behavior by shifting response times and increasing the curvature of time-response histograms. These data suggest that control of the MFC over DMS ensembles occurs via direct, monosynaptic projections rather than being an indirect effect of MFC projections to another area that modulate the DMS8,9.

Here we found stimulation effects at 20 Hz, whereas our past work stimulating MFC networks or MFC afferents revealed effects primarily in the delta/theta range (~4 Hz)16,17,36,37. Cortical stimulation can be resonant with ~4-Hz activity among prefrontal networks involved in cognitive control37. The striatum may have distinct network properties from cortex. Corticostriatal projections release glutamate; we found main effects of MFC axonal optogenetic stimulation on DMS firing that interacted with MFC inactivation. Our data are consistent with a role for these glutamatergic projections modulating time-related ramping as 20-Hz stimulation likely would release more glutamate at corticostriatal synapses than 2-Hz stimulation38. Interneurons can also be modulated by corticostriatal projections, although we recorded fewer such cells, and we did not find consistent evidence for inhibition of MSN activity by MFC → DMS stimulation39. Consequently, we focused our analyses on MSNs.

Our study has several additional limitations. Firstly, our approach was limited by the sampling of only a small number of DMS MSNs, and by the nonspecific, virally-mediated expression of opsin in MFC axons that project to the striatum. DMS ramping may depend on specific projections and/or patterns of activity. Additionally, our recording approach did not allow us to differentiate between D1- and D2-dopamine receptor-expressing MSNs or various subtypes of interneurons, and such distinctions might be key to temporal processes40,41,42. Indeed, our recent pharmacological work has suggested that these neuronal populations may perform in distinct ways during interval-timing tasks43 and MFC stimulation may preferentially affect one class of neurons over others. Our experiments were designed based on fixed-interval timing; however, future experiments using a peak-interval task may enable us to capture additional temporal computations. Furthermore, we did find acute effects of optogenetic stimulation on MSN firing, but our experiments were not designed to definitively map corticostriatal circuits. Alternative designs with moveable arrays in the striatum may achieve this aim. Finally, the work presented here was restricted to interval timing, and likely needs to be expanded, both to other stimulation parameters as well as to other tasks involving sensorimotor and cognitive processing.

In summary, our experiments provide novel evidence that corticostriatal circuits play a critical role in accurate information processing. Combined with our prior work demonstrating that MFC activity is necessary for temporal processing in the DMS, this work suggests that MFC → DMS projections may be sufficient for some level of rescue of deficits in interval-timing behavior caused by prefrontal dysfunction. We anticipate that these data will inform clinical therapies that target corticostriatal glutamate44,45 or deep-brain stimulation of the striatum for disorders that affect the prefrontal cortex46.

Methods

Rodents

All procedures were approved by the University of Iowa IACUC and all methods were performed in accordance with the relevant guidelines and regulations (protocol #7072039). Twelve male Long-Evans rats were trained on an interval-timing task as described in detail previously13,25,36,47. Briefly, animals were initially autoshaped to press a lever for water reward using a fixed-ratio task. Then, animals were trained on a 12-s fixed-interval task (FI12). Trials began with the presentation of a houselight at trial onset (time 0), and the first response made after 12 s had passed resulted in reward delivery, a concurrent click sound, and termination of the houselight (Fig. 1B). Responses made before 12 s elapsed had no programmed consequence. Trials were separated by a randomly chosen intertrial interval of 6, 8, 10 or 12 s. Sessions lasted 60 minutes (m). The timing of each response was used to compute average response rate as a function of time within a trial.

Surgical and histological procedures

The MFCs of twelve rats were bilaterally infused with AAVs and then implanted with bilateral infusion cannulae. Six of the animals were injected with AAVs that express channelrhodopsin (ChR2); the other six animals were injected with AAVs expressing mCherry and no active ChR2. The left dorsomedial striatum (DMS) of 6 ChR2 animals was implanted with fiber optic recording electrodes (referred to here as “optrodes”, which were implanted unilaterally). A surgical level of anesthesia was maintained and, under aseptic surgical conditions, craniotomies were drilled above the left and right MFCs as well as the left DMS. Rat MFCs were first injected with AAV-CamKII-mCherry-ChR2 (AAV-ChR2) or AAV-CamKII-mCherry (AAV-mCherry) virus (1.0 uL virus per side; UNC Viral Vector Core, Chapel Hill, NC). Each rat was later implanted with bilateral infusion cannulae. The left DMS was implanted with a 16-wire optrode (microelectrode array combined with fiber optic cannula). In addition, we used four skull screws. The ground wire from the optrode was connected to the screws and passed into the brain. Optrode arrays consisted of 16 50-μm stainless steel wires arranged in two concentric circles of eight wires surrounding the fiber optic cannula (250 μm between wires and rows; impedance measured in vitro at ~400 kΩ; Microprobes for Life Science; Gaithersburg, MD). Infusion cannulae targeted both MFCs (coordinates from bregma: AP + 3.2, ML ± 1.2, DV −3.6 @ 12° in the anterior plane; these coordinates target the dorsal prelimbic cortex), whereas the optrode recording array targeted only the left DMS (coordinates from bregma: AP + 0.0, ML ± 4.2, DV −3.6 @ 12° in the lateral plane). Optrode arrays were inserted while recording neuronal activity in order to verify that the implant correctly targeted the DMS. The craniotomy was sealed with cyanoacrylate (‘SloZap’, Pacer Technologies, Rancho Cucamonga, CA), whose polymerization was accelerated by ‘ZipKicker’ (Pacer Technologies); and with methyl methacrylate (i.e., dental cement; AM Systems, Port Angeles, WA). Following implantation, the animals were given one week to recover before being reacclimatized to behavioral and recording procedures.

Following completion of the behavioral experiments, the rats were anesthetized and sacrificed by injection of 100 mg/kg sodium pentobarbital and transcardially perfused with 4% formalin. Brains were post-fixed in a solution of 4% formalin and 20% sucrose before being sectioned on a freezing microtome. Brain slices were mounted on gelatin-coated slides and cell bodies were identified by staining with either DAPI or Cresyl violet. For each animal, histological reconstruction was completed based on postmortem analysis of electrode placements by confocal microscopy or stereology microscopy. These data were used to determine the locations of the electrodes and cannulae within the MFC, and that of the electrode in the DMS (Fig. 1C). Immunohistochemistry was used to visualize the expression of AAV-CamKII-mCherry-ChR2 and AAV-CamKII-mCherry.

Protocol for rodent behavioral experiments

Rats were first trained in the fixed interval-timing task (FI12) and then underwent stereotactic surgery, as described above. Animals were given one week to recover before being acclimatized to recording and/or stimulation procedures. To ensure that viral expression was maximal, experiments began 3–4 weeks after surgery. Electrophysiological recordings and/or optogenetic stimulation were performed on subsequent days. Infusions of saline and muscimol were performed on separate days. On the first day of the infusion protocol, animals received bilateral saline infusions through both cannulae in the MFC. On the second day, animals were infused with the GABAA receptor agonist muscimol (0.1 mg/mL, 0.5 μL), an approach we have used previously to reversibly and completely inhibit cortical neuronal activity13,25. In all recording experiments and/or drug infusions, each session was treated as statistically independent13,24,25,47,48,49. Following the infusions, animal behavior on the FI12 interval-timing task was compared between various conditions of optogenetic stimulation with a 473-nm laser (5-ms pulse width, 10 mW power; Opto Engine, Midvale, UT). Three different stimulation conditions were used in each animal: no stimulation (No Stim), 2-Hz stimulation (2-Hz), and 20-Hz stimulation (20-Hz; Fig. 1A). Conditions were pseudo-randomly interleaved such that the number of trials of each condition (+/− 1 trial) was equal. Behavioral sessions lasted for 60 m.

Protocol for neurophysiological recordings and analyses of neurons

Neuronal ensemble recordings were made using a multi-electrode recording system (Plexon, Dallas, TX). Putative single neuronal units were identified on-line using an oscilloscope and an audio monitor (Plexon, Dallas, TX). Plexon Offline Sorter was used to analyze the signals after the experiments were completed, and to remove artifacts. Spike activity was analyzed for all cells that fired at rates above 0.1 Hz. Principal component analysis (PCA) and waveform shape were used to sort spikes. Analysis of neuronal activity and quantitative analysis of basic firing properties were carried out using the NeuroExplorer software (Nex Technologies, Littleton, MA) and custom routines available in the MATLAB suite. In each animal, one electrode with minimal neuronal activity was reserved for local referencing, so that 15 electrodes per animal were available for spiking activity. Putative neurons were classified as either medium spiny neurons (MSNs) or fast-spiking interneurons based on waveform peak-to-trough ratio and half-peak widths50. MSNs were identified from these parameters by Gaussian mixture clustering in MATLAB (fitgmdist.m). Because significantly fewer fast-spiking interneurons were identified, we restricted our analyses to MSNs.

Statistics

In accordance with our prior work, we quantified temporal control of action by calculating the curvature of time-response histograms. Curvature values range between −1 and 1 and are calculated from the measured cumulative response record by its deviation from a straight line, where 0 would indicate a constant response rate throughout the interval. Curvature indices are resistant to differences in response rate, smoothing, or binning26,27.

To quantify the effects of optogenetic stimulation on behavior on a trial-by-trial basis, we used generalized linear mixed-effects models (GLMM; fitglme in MATLAB). To quantify the effects of optogenetic stimulation and MFC inactivation on behavior, we used the following GLMM to quantify response time:

$${\rm{RT}} \sim {\rm{Stim}}\ast {\rm{Drug}}+(1|{\rm{Animal}})$$

where the dependent variable was response time (RT), independent variables were optogenetic stimulation (Stim: No Stim, 2-Hz Stim, or 20-Hz Stim) and MFC inactivation (Drug), and animals were included as a random variable (1|Animal). We ran separate models for AAV-ChR2 animals and for AAV-mCherry control animals. All GLMMs were compared with the null model via the function compare.m. For plotting only, kernel density estimates of time-response histograms were calculated. ksdensity.m in MATLAB was used with a bandwidth of 1, normalized to the maximum response rate in each animal, and then averaged.

To quantify the effects of optogenetic stimulation, MFC inactivation, and the time of the interval on neuronal activity, we used the following GLMM to quantify neuronal firing rate:

$${\rm{FR}} \sim {\rm{Time}}\ast {\rm{Stim}}\ast {\rm{Drug}}+(1|{\rm{Neuron}})$$

where the dependent variable was firing rate (FR; binned at 10 ms over the 12 s interval), and independent variables were time (Time over the 12 s interval in 10 ms bins), optogenetic stimulation (Stim: No Stim, 2-Hz Stim, or 20-Hz Stim) and MFC inactivation (Drug); neurons were included as a random variable (1|Neuron).

For the analysis of individual neurons, we ran the GLMMs for each neuron of firing rate as a function of time in the interval or of stimulation. This analysis enabled us to identify effects and calculate regression slopes at the single-neuron level. In line with past work, we defined neurons for which the main effect of time had a p < 0.05 as exhibiting time-dependent ramping activity. All regression analyses were performed on unsmoothed, unnormalized firing rate. For plotting only, peri-event rasters were binned over 10 ms and smoothed over 1 s with a Gaussian kernel; peri-event time histograms were binned at 100 ms and smoothed using ksdensity.m in MATLAB with a bandwidth of 0.5, normalized using z-scores, and sorted by the first principal component.

Data Availability

All data is available at https://narayanan.lab.uiowa.edu/datasets, and a pre-print version of this manuscript is available on BioRxiv.

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E.B.E. and N.S.N. designed experiments, E.B.E. collected data, E.B.E., M.K., Y.K. and N.S.N. analyzed data, and E.B.E., Y.K. and N.S.N. wrote the paper.

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Correspondence to Nandakumar S. Narayanan.

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Emmons, E.B., Kennedy, M., Kim, Y. et al. Corticostriatal stimulation compensates for medial frontal inactivation during interval timing. Sci Rep 9, 14371 (2019). https://doi.org/10.1038/s41598-019-50975-7

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