Introduction
T emporal context differentiates episodic memory from semantic or procedural ones (Tulving,
1983, 1972; Tulving and Markowitsch, 1998) and is thought to be underpinned by cells which
fire in stimulus free time-points between salient events (Pastalkova et al., 2008). These cells,
termed as time-cells have been reported in working memory paradigms such as delayed
nonmatch to sample (DNMS) (MacDonald et al., 2011), while ruling out location encoding (Kraus
et al., 2013). While these studies observed time-cells in seconds to tens of seconds range, they
were shown to occur in sub-second time-scales as well (Kraus et al., 2013).
There are suggestive similarities between time-cells and place cells in the hippocampus
(Eichenbaum, 2014). First, both place cells (O’Keefe, 1976; O’Keefe and Conway, 1978; Wilson
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and McNaughton, 1993) and time cells (Modi et al., 2014; T axidis et al., 2020) exhibit a
non-topographic mapping in the hippocampus. Second, sparse encoding is observed in place
(Leutgeb et al., 2004; McNaughton and Morris, 1987; Muller and Kubie, 1987; O’Keefe and
Nadel, 1978; Skaggs et al., 1996; Thompson and Best, 1989) as well as time cells (Kraus et al.,
2013; MacDonald et al., 2013; Modi et al., 2014; T axidis et al., 2020). Theta phase precession
has been observed in both place cells (Maurer et al., 2006; O’Keefe and Recce, 1993; Qasim et
al., 2021; Schmidt et al., 2009; Skaggs et al., 1996) and time cells (Pastalkova et al., 2008;
Umbach et al., 2020). Likewise, remapping of representations when initial conditions are
changed is seen both in place cells (Leutgeb et al., 2005; Muller and Kubie, 1987; O’Keefe and
Burgess, 1996) and time cells (MacDonald et al., 2013, 2011; T axidis et al., 2020). Both place
(Kinsky et al., 2018; Mankin et al., 2012; Rubin et al., 2015; Ziv et al., 2013) and time (Mau et
al., 2018a; T axidis et al., 2020) encoding show stable population representation while individual
cell identities drift over days.
Context is important for place cells, and one of the goals of the current study was to explore if
the same was the case for time cells. For example, directional place cells fire based on whether
the animal is moving in a clockwise or counter clockwise direction in an open field or whether
the animal is moving left or right in a 2D track (Gothard et al., 1996; Markus et al., 1995;
McNaughton et al., 1983; Olton et al., 1978). Salience plays an important role in determining the
distribution of place fields with spaces near salient cues being over-represented (Hetherington
and Shapiro, 1997). Distinct ensembles of place cells have been found to be active during
approach and return episodes near rewards or starting points (Weiner, Eichenbaum 1989;
Gothard et al., 1996(a); Gothard et al., 1996(b)). These evidences along with observations that
the hippocampus encodes various non-spatial variables (Aronov et al., 2017; Eichenbaum et al.,
1987; Herzog et al., 2019; Park et al., 2020; Rita Morais T avares et al., n.d.; Schuck and Niv,
2019; T axidis et al., 2020; Wood et al., 2000) support the theory that the hippocampus doesn’t
create a spatial map (or temporal map) but a cognitive map (O’Keefe and Nadel, 1978; T olman,
1948). However, time cells have mostly been studied in the limited context of behaviour: DNMS,
8 maze tasks, and TEC.
The current study addresses the question of context in the form of stimulus modality for
time-cells over learning. We used a trace eyeblink conditioning (TEC) paradigm which differs
from previous studies in the task, the time-span of the behaviour, and the use of multiple
modalities of stimuli. We used two-photon calcium imaging to longitudinally study the neural
dynamics of hippocampal area CA1 pyramidal cells in awake, behaving mice as they
sequentially learnt a TEC protocol with two different modalities. Our findings reveal early
emergence and continued presence of time cell sequences throughout the learning duration
during both trace and post-stimulus periods. The dynamics of these cells remained agnostic to
the animal’s behaviour state and the modality of conditioned stimulus (CS) used. We noted
significant remapping of time cell identities from day to day, however, the persister cells fire in
consistent epochs and do not remap between stimulus and post-stimulus periods. We suggest
that time cell learning dynamics and continued activity past the behaviourally relevant window
are strongly dependent on paradigm, with sharp differences between DNMS, trace Fear
Conditioning(FC), and our observations from TEC.
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Results
Longitudinal Two photon imaging of dorsal CA1 during multiple
TEC paradigms
Figure1: Neuronal and behavioural Dynamics in Trace Eyeblink Conditioning
A i, ii, iii : Trial structure of Trace Eyeblink Conditioning (TEC) protocol over the three phases of learning. There were
60 CS-US pairings per session. (i) Learning1, where animals learn the association between a conditioned stimulus
(CS1, sound or light) and an unconditioned stimulus (US, air puff to eye). (ii) Learning2 where the CS is swapped
(light for sound and vice versa). (iii) MultiCS phase where sound-US and light-US are presented in an interleaved
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manner.
B: Schematic of the behaviour setup, depicting the two possible CS: a 50ms Blue LED flash and a 50 ms 3500Hz
tone. US was delivered by a puff port and eye-blink responses were recorded by a 200 fps camera. C: Exemplar eye
blink response of a naive(top) and trained (bottom) mouse. The blue bar denotes the time of CS. Trace and US time
are marked at the bottom D: Waterfall plot shows all eye blinks in an exemplar session, timed between CS onset(blue
bar) and US onset (red bar), across 60 trials. E: behavioural trajectory of mouse G142 over 17 days. Red: Rig
habituation with no stimuli, yellow: Light-US pairing (learning1), purple: sound-US (learning2), green: multiCS phase.
F: Schematic of chronic in vivo recording of Calcium activity, showing craniotomy, hippocampus, the positioning of a
cylindrical cannula and a stainless steel headbar for head fixation under a microscope. G: Custom-built two-photon
microscope setup used for imaging dorsal CA1 activity in head fixed mouse, running on a blue foam treadmill. Hi & ii:
Automated ROI marking by Suite2p for extraction of fluorescent traces. I i & ii: Field of view imaged 15 days apart,
illustrating the stability and repeatability of the imaging setup. Ji: Calcium activity of an exemplar time cell over 60
trials. Change in fluorescence signal over total signal (dF/F) was calculated using the 10th percentile of a cell’s
fluorescent trace as a baseline, on per cell per trial basis. Jii: Raster plot showing trial averaged dF/F of 19 time-cells
in a session.
We established a three stage TEC protocol (Figure 1 A i,ii,iii) in which animals first learnt to pair
CS1-US (learning1) with an air-puff to the eye (Figure 1Ai, Supplementary Figure 1A). There
were two possible CS1 stimuli: a 50ms long Blue LED flash or a 50 ms 3500Hz tone (Figure
1B). A total of 10 animals were used for awake, behaving in vivo recording. 6 out of 10 animals
underwent all three stages of the training protocol. 3 animals were trained on the light stimulus
and 3 on the sound stimulus for CS1 in learning1. These stimuli were swapped for CS2 in
learning2. 4 out of 10 animals learnt the light-puff pairing but were not taken to further stages in
the training sequence. In all cases, a 50ms puff of air to the eye was used as the US. There was
a 250ms stimulus-free gap between CS offset and US onset. Each day the animals underwent a
single session consisting of 60 CS-US pairings (Figure 1 Ai). The criterion for a Conditioned
Response(CR) was defined as an eye closure of at least 10% of a full eye closure, timed
between the CS onset and US onset (Figure 1 C,D. Supplementary Figure 1Av). Behaviour
score was calculated for each day as % CR. Animals had to show 60% Behaviour Score in a
session to progress to the next phase. Probe trials (only CS, no US) were introduced randomly
at a probability of 1 trial in 10.
Learning1 of CS1-US took 5.1±1.1 days, mean±SEM. Next, CS modalities were swapped, i.e
light to sound and vice versa (supplementary figure 1 Bii) in the CS2-US (learning 2) phase
(Figure 1 Aii). Learning2 was typically faster (3.3±0.869, days mean±SEM. Supplementary
Figure 1Bii). Once the animals reached and held the 60% criterion for a few more days (2±1.4
,mean±SD ), they were shifted to the third phase.
In the multiCS phase, sound-US and light-US were presented in the same session in an
interleaved manner(Figure 1 Aiii). They were exposed to one block (5 trials) of Sound-Trace-US
and then one block of Light-Trace-US. This continued for a total of 12 blocks: 6 for each
condition, for the same total of 60 trials in each session. The last trial of each block was a probe
trial where no US was delivered. Figure 1(E) shows the full behaviour journey of mouse G142
over 17 days, during which it went through all phases of the training protocol.
Simultaneously with the behaviour, we chronically recorded calcium activity from the pyramidal
cells of the dorsal CA1 in vivo. Transgenic adult mice expressing Thy1-GCaMP6f+/-
(GP5.17Dkim/J, Jackson Laboratories) underwent craniotomy and cortical aspiration (Dombeck
2007) to expose the dorsal CA1. They were fitted with a 1.5mm long and 3mm diameter
cylindrical cannula with a glass coverslip at the end (Figure 1F). Additionally a stainless steel
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headbar was implanted for head fixing under the microscope. Mice freely ran on a foam
treadmill and were imaged using a custom built two photon microscope (Figure 1 F , G).
The recorded calcium data was motion corrected, classified into active regions of interest (ROIs)
and fluorescent traces were extracted using the MATLAB version of Suite2p (Pachitariu et al.
2017) (Figure 1Hi & ii ). Custom written MATLAB codes were used for analysis, but time-cell
classification used published Python/C++ codes (refs Ananth paper) called from MATLAB. dF/F
was calculated using the 10th percentile of a cell’s fluorescent trace as a baseline,separately for
each trial(Figure 1Ii).. For each session, the trial averaged dF/F was also calculated for
establishing peri-stimulus time histogram (PSTH) heatmaps (Figure 1Jii).
Our recording spanned 163 sessions from 10 mice and yielded 11,543 cells (71±18 cells per
session; mean±SD). Each mouse was recorded for 16±10 (mean±SD) days. Approximately the
same field of view was imaged for all mice and sessions (Figure 1I i,ii). Multiday registration of
the same cells were possible for 85 sessions from 5 mice.
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Network activity increases following stimulus delivery in a
learning-independent manner.
figure 2. Stimulus-driven responses and learning effects on hippocampal CA1 network activity.
A: Network activity increases upon stimulus delivery. Representative plot of calcium event frequency from all cells
during a single session plotted as a function of time. The CS-US interval (“stim”) is indicated in pink.
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B. Calcium event frequencies are significantly higher in “active cells” (top 10% of most active cells) than the rest of
the population, across all epochs. Pre: 0.6281±0.017 Hz, Stim: 1.202±0.03 Hz, Post: 1.087±0.023 Hz vs. Other cells
Pre: 0.2593±0.0014 Hz, Stim: 0.2684±0.0017 Hz, Post: 0.3092±0.002 Hz. p<0.0001 for all comparisons between
“T op 10” and “Bottom 90, Mann-Whitney test [MW].
Further, the top 10% most active cells showed significant increases in activity from the pre-stimulus phase
(0.6281±0.0171 Hz) to the stimulus (1.202±0.0299 Hz) and post-stimulus phases (1.087±0.0234 Hz) (p<0.0001 for
both comparisons, MW)
C. Calcium activity of the top 10% active cells does not depend on learning. Per-cell, per-session activity is plotted
against behavioural performance of nine animals for Learning1 and Learning2. No significant correlation was
observed (linear regression F-test, p>0.05) except for small non-zero slope (0.0009) during Learning1 stim (F-test,
p=0.003).
D. Exemplar data from mouse G71 showing all active cells (blue curve), active cells that were registered (red curve)
on the next day and cells which were active on both days (green curve).
E. Activity status of a cell on a given day does not affect its chances of being active on the subsequent day.
Comparison between proportion of cells active on consecutive days and population proportions (10%) showed no
difference. Stim:13.56±2.157, Post:14.29±2.523.(One Sample Wilcoxon T ext [OSWT], Stim p-value=0.4, Post
p-value=0.52)
We next addressed the basic stimulus-driven responses of the hippocampal CA1 network. The
hippocampus is known to receive multimodal sensory input (Acharya et al., 2016; Deshmukh
and Bhalla, 2003; Ho et al., 2011; Komorowski et al., 2009; Liu and Otto, 2020). We divided
each trial into 3 epochs: ~1.7sec before the CS as pre-stimulus(pre), 350ms of CS, trace and
US as stimulus(stim) and ~1.7sec post US as post-stimulus(post). We defined calcium events
as signals where the dF/F value was more than 2 standard deviations higher than the mean. We
looked at trial averaged activity from 133 sessions over all stages of learning, from 10,383 cells.
Stimulus delivery elicited an increase in network activity, indicated by the frequency of calcium
events (Figure 2A). We observed a significant rise in calcium event frequency from the
pre-stimulus period to the stimulus period (Supplementary figure 2C. p<0.0001, Wilcoxon
matched-pairs signed rank test [WPT]), and continuing into the post-stimulus period
(Supplementary figure 2C. p<0.0001 WPT). Additionally, the post-stimulus increased activity
occurred both in paired and probe trials, indicating that the increase was not just due to the
presence of an aversive US (Supplementary figure 2C. p<0.0001, WPT).
In every epoch we found that the total activity of the network was dominated by a small
sub-population of cells (Figure 2B). This is expected since the hippocampus is known for sparse
encoding (Jung and McNaughton, 1993; Skaggs et al., 1996). For each epoch, 10% cells had
markedly higher activity rates (Mann-Whitney test [MW], p< 0.0001). This finding supports
previous research, indicating that a small group of highly active cells, particularly in the
Hippocampal CA1 region, are crucial in driving network responses (Agarwal et al., 2014; Senzai
and Buzsáki, 2017; Treves and Rolls, 1994).
From one epoch to another, different sets of cells were active (Supplementary figure 2F) and the
level of activity increased from pre (0.628±0.017 Hz) to stim (1.20±0.030 Hz) and post
(1.087±0.023 Hz) indicating the cells were about twice as active during and after stimulation
compared to before (p<0.0001; Mann-Whitney test, figure 2B).
We examined if learning affected neuronal activity in CA1. Prior studies suggest CA1 neuronal
excitability increases during TEC (Berger et al., 1976; Christian and Thompson, 2003;
McEchron et al., 2003, 1999; McEchron and Disterhoft, 1997; Moyer Jr. et al., 1996; Weiss et
al., 1998). Figure 2C shows the activity of the top 10% active cells during learning1 and
learning2 for each of the three epochs, plotted against behavioural performance of nine
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animals. Linear regression analysis found no significant correlation between behaviour scores
and neuronal activity in either of the learning conditions (Figure 2C).
Using tracking of cells over multiple days (a total of 85 sessions over 5 animals) we found that
an active cell is no more likely than any other cell to be active on the following day (p=0.38 and
0.52 for stim and post respectively. One Sample Wilcoxon test [OSWT]).(Figure 2D,E).
T o summarize, we observed an increase in hippocampal CA1 network activity upon stimulus
delivery. Heightened activity was maintained across both paired and probe trials. Notably, a
small subset of highly active cells predominantly contributed to this increased activity. Activity
did not significantly correlate with behavioural performance in learning phases, nor did a cell's
activity on one day predict its activity on subsequent days.
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Time cell responses over time and behaviour
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figure 3: Learning Independent, time-locking in Hippocampal CA1 Neurons During TEC
A:Illustration of calculation of the Ridge-to-background (R2B) metric. It combines time cell precision and hit rate to
obtain raw R2B for a neuron which is its peak, trial-averaged calcium activity. Bootstrapping is done by circularly
permuting trials and then averaging. The R2B score is the ratio of the raw R2B to the mean of 1000 bootstrapped
R2Bs. Cells with an R2B score above 2 are selected as time cells.
B: Distribution of R2B scores across neurons. Around 70% did not qualify as time cells (R2B<2).
C: Mean R2B scores of time cells for an exemplar animal (dots with whisker error bars) and proportion of time cells in
population (red line) do not correlate with behavioural performance (solid black line) over successive days.
D: Percentage of time cells do not change over learning stages. Each dot is the percentage of cells identified as time
cells in a given session, data from all animals. Di: Mean percentage during the stimulus = 4.79±0.426% for CS1-US
Dii: Mean percentage during post-stimulus=13.98±0.801% for CS1-US. Diii: Similarly, for CS2-US, during stimulus
percentage=4.43±0.64%. Div: CS2-US post-stimulus percentage= 13.45±1.325%. Linear regression analysis showed
no significant changes across learning stages (stimulus period slope: -0.0006±0.011; post-stimulus period slope:
0.0008±0.022 for CS1-US, and stimulus period slope: 0.019±0.64; post-stimulus period slope: -0.011±0.049 for
CS2-US; all not-significant, F-test), indicating consistent time cell behaviour. Note that stimulus time=350ms vs
post-stimulus period= 1.7s.
E. A Generalized Linear Model trained on time cell data predicts time with significantly greater accuracy than a model
trained with shuffled data (time cell:0.13±0.01, shuffled cells:-0.019±0.00004, p<0.0001;mean±SEM, MW)
Fi, ii: Proportions of hippocampal time cells with peak activity for all the three epochs, showing a high degree of time
cell activity in the post-stimulus period for both Learning1 (35.66%) and Learning2 (36.65%) phases, adjusted for the
duration of each period. Both stim and post show significantly more time cells than the pre period (p<0.01 for all
comparisons;Wilcoxon matched-pairs signed rank test [WPT]).
Gi, Gii: Time cells are active in probe trials without US, in both stimulus and post-stimulus periods. Post-stimulus time
cells in probe trials suggest a persistence of time encoding in the network beyond the stimulus period
Next we tested for time-cell activity in hippocampal CA1 pyramidal neurons as a result of
learning TEC. We assessed time-locking through precision (reduced peak firing time variability
across trials) and hit rate (the proportion of trials with firing at a specified time), employing the
Ridge-to-background (R2B) metric as defined by (Modi et al., 2014)(figure 3A). We compared
each neuron's peak trial-averaged calcium activity against that of a bootstrapped
neuron—achieved by circular permutation of trial activities and averaging over 1000 cycles. An
R2B score of 1 indicates timing accuracy equivalent to a randomized, bootstrapped neuron, and
this was observed in 49.5% of neurons (figure 3B). Only neurons with an R2B score exceeding
2 were classified as time cells.
Initially, in learning1, an average of 4.79±0.43% (mean±SEM) of neurons were classified as time
cells active within the stimulus period, whereas 13.98±0.80% (mean±SEM) were time cells that
belonged to the post-stimulus period. Surprisingly, the distribution of these time cells did not
exhibit significant changes across different learning stages, including naive, active learning, and
fully learned states. Figure 3C demonstrates this with an exemplar plot of mouse G141, showing
Learning1 Behaviour Score (black curve), time cell proportions (red curve) and mean time cell
scores of the time cells (green dot and whisker) over days. Linear regression analysis for
stimulus and post-stimulus period from all animals for Learning1 show no significant correlation
between behaviour score and time cell proportions (F-test, p>0.05) (Figure 3Di and ii). This
pattern persisted during Learning2, with 4.43±0.64% (mean±SEM) of cells recognized as time
cells during the stimulus period (figure 3Diii) and 13.45±1.325% (mean±SEM) in the
post-stimulus period (figure 3Div) and no significant correlation between behaviour score and
time cell proportions (F-test, p>0.05). T ogether these findings show stability in proportions
through the animal's progression through learning stages.
We verified our R2B time cell detection method by training a generalized linear model (GLM)
using data from identified time cells, to predict time (Figure 3E). As a control we trained a model
on shuffled data from the same time cells. The GLM trained on time cell data performed
significantly better than the shuffle control (time cell:0.13±0.01, shuffled cells:-0.019±0.00004,
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p<0.0001;mean±SEM, Mann Whitney). We further validated the presence of time cells using a
temporal information metric (Mau et al., 2018b) (Supplementary figure 3).
We found that a large percentage of hippocampal time cells peaked in activity during the
post-stimulus period (figure 3Fi and ii, 35.66% in the Learning1 and 36.65% for Learning2,
normalized for epoch duration). The proportions of time cells in stimulus and post-stimulus
periods were always significantly higher than in pre period (p<0.01 for all comparisons; WPT).
This held true both for Learning1 and 2.T o determine whether this prolonged activity was
triggered by the unconditioned stimulus (US), we analyzed probe trials with only the conditioned
stimulus (CS) and no US. Time cells were active in both the stimulus and post-stimulus periods
of probe trials (Stim: 3.43±0.33, Post: 7.98±0.45; mean±SEM), suggesting a role in encoding
time well past the behaviourally relevant duration of the TEC. Moreover, the presence of time
cells was not correlated with behavioural scores (figure 3Gi and II. Slopes of 0.007±0.009 for
stim and 0.012±0.012 for post, both not significant, F-test), indicating that post-stimulus time cell
activity is independent of task performance.
In summary, we found consistent time cell proportions across learning stages. As considered in
the discussion, this contrasts with previous findings on time cell emergence over the course of
learning in tasks with stimulus-free intervals. We also found persistent time cell activity following
the stimulus period.
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Most time cells turn over, but the persisters fire in consistent epochs
figure 4: Day-to-Day Variability in Time Cell Identity with Stable Temporal Fields in Hippocampal CA1
A: Proportion of hippocampal CA1 cells identified as time cells on successive days in mouse G71. Blue: Classified
Time Cells for Day(n). Red: Classified Time Cells for Day(n) which could be registered in the imaging on Day(n+1).
Green: Time cells from Day(n), which were registered on Day(n+1) and retained time-cell tuning.
B: Percentage of time cells retaining their status from one day to the next (8.917±2.204% during stimulus and
10.98±2.575% post-stimulus). This percentage is comparable to the general probability of any given cell becoming a
time cell (p=0.32 for stimulus period. p=0.03 for post-stimulus period, borderline significant, WPT). This indicates a
high degree of remapping in the time cell population.
C: Multi-day time cells firing in the stimulus period (300 ms) remain there on the next day (36
out of 36). Further, time cells in the stimulus period showed a significant precession of time field (Day n: 216±12 ms
vs. Day n+1: 111±18ms; p=0.0015, WPT) on the second day. Though the majority of cells in post-stimulus also
showed precession, the population data was not statistically significant (p-value = 0.14, WPT).
Di: Precession in time tuning during stimulus period. 68.75% of cells fired earlier on the following day. Dii: Precession
in time tuning during post-stimulus period, 58.33% cells had earlier peak times on the following day
We investigated time cell reliability across multiple days by tracking cells over 85 sessions
involving 5 animals. We focused on cells that maintained a reliability score of 2 or higher over
both days (figure 4A).
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A cell that was time-tuned on a given day was unlikely to be time-tuned on the next day (~91%
dropouts for stimulus period and ~89% for post-stimulus period) (figure 4B). The likelihood of a
cell to remain time-tuned on the next day was similar to that of cells from the broader population
becoming time tuned for the first time (8.9±2.2% during stimulus and 10.98±2.58%
post-stimulus, vs 5.8±0.4% mean likelihood of any cell from the population being time-tuned
during stimulus period and 11.6±0.7% during post-stimulus period). This difference did not show
statistical significance during the stimulus period (p-value=0.32,WT) and a borderline
significance in the post-stimulus period (p-value=0.03; WT). We do not ascribe any biological
significance to it owing to the small difference in probabilities (10.98 vs 11.6).
Despite the day-to-day turnover of most time cells, those that persisted across consecutive days
(n=52) showed very consistent firing epochs, with stimulus period cells always firing during the
stimulus period on the next day, and similarly for post-stimulus period cells (figure 4C).
Interestingly, there was a statistically significant precession in firing time on the following day
during the stimulus period for 68.75% of cells (Day n: 216±12 ms vs. Day n+1: 111±18ms;
p<0.01, WPT , figure 4Di). While a shift towards earlier firing times was also noted in 58.3% of
post-stimulus period cells, the change did not reach statistical significance(p-value=0.14, WPT).
Our results indicate a dynamic remapping of the time cell population day-to-day, rather than a
stable population of time cells. The degree of remapping we observe is substantially higher than
what has been reported in previous time cell studies (Mau et al., 2018b; T axidis et al., 2020), as
we consider in the discussion. Despite this day-to-day remapping, those cells that do persist
show consistent firing epochs. Many time cells display a significant precession in peak firing
times the following day, especially during the stimulus period.
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Transient network reliability marks learning onset
figure 5: Transient Network Reliability Peaks as a Marker of Learning Onset
A: Network reliability metric illustrated for mouse G394 related to behavioural performance. Network reliability
remains low except for a spike on Session 3, which precedes the improvement in behavioural performance..
B: Normalized reliability scores on non-peak days (0.186±0.03) significantly differ from those on peak days,
normalized to 1 (p<0.0001, OSWT), suggesting a shift in network dynamics correlated with learning progress.
C: behavioural scores rise following the peak in network reliability. Behaviour Score (%Conditioned Response)
before (14.55±6.282) and after (42.05±5.196) the peak in network reliability (p<0.05, MW)
D: Network reliability peak (NP) occurs on or before the behaviour hitting criterion (HC) of 60%. Left: Paired data for
each animal day of NP and day of HC. Right: Delay from NP to HC. NP typically precedes HC by 3±1.2 days (p<0.05,
Paired t-test).
5E: Averaged peak network activity data across all mice, with peak days aligned to zero, showing that behavour
score rises following NP .
We next investigated whether there was a network correlate, as opposed to individual time-cell
correlates of learning. T o do this, we introduced a "network reliability" metric, defined as the sum
of reliability scores from cells scoring above 2, weighted by the time cell proportion in the
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network. This measure was predicated on the notion that learning would prompt an increase in
both the proportion and reliability of time cells across the network.
This metric showed a correlation with learning in the stimulus period of Learning1 (Figure 5A).
We found that network reliability remained low across 58 days from 9 mice, except for a
noticeable and statistically significant spike on one day (figure 5B p<0.0001, OSWT).
Remarkably, for 8 out of 9 mice that learnt the CS1-US protocol, network reliability peaked either
just before or on the day behavioural performance met the 60% conditioned response criterion.
Moreover, behaviour scores rose substantially after this surge in network reliability (figure 5C
p<0.05, MW). On average the network reliability peaked 3±1.2 days before animals hit
behaviour criteria (figure 5D. p<0.05 Paired t test, figure 5E). As we consider in the discussion,
the pattern of network peak preceding behaviour peak was seen only in Learning1 in the
stimulus period.
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Time cells in TEC are agnostic to stimulus modality
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figure 6: Neuronal Activity and Time Cell Dynamics Across Stimulus Modalities.
Ai-ii: Increase in calcium event frequency in both sound-US and light-US trials due to stimulus delivery. Each point is
trial averaged activity in a frame which falls under one of the epochs. For sound-US when going from pre-stimulus
(0.29±0.005 Hz) to stimulus (0.4±0.009 Hz) and post-stimulus periods (0.41±0.007 Hz) there is significant increase in
neuronal activity (p<0.0001, Wilcoxon test). This also holds true for light-US; pre-stimulus (0.29±0.005 Hz) to stimulus
(0.39±0.01 Hz) and post-stimulus periods (0.39±0.007 Hz) (p<0.0001, Wilcoxon test). Same trends are visible in
paired as well as probe trials.
Bi-iv: Linear regression analyses of time cell activity versus behavioural scores for sound-US (i, ii) and light-US
modalities (iii, iv), for stimulus periods (left) and post-stimulus (right). Sound-US trials show slopes of 0.04±0.029
(stim) and -0.015±0.013 (post), while light-US trials present slopes of -0.002±0.022 (stim) and -0.008±0.12 (post),
with p-values (0.17, 0.24, 0.92, 0.52 respectively for the four groups) indicating no significant correlation across
modalities (F-test).
C: Dual-modality time-cells occur at a frequency predicted by product of likelihood of single-modality time cells.
Interleaved multi-CS trials, comparison of common (dual) and unique time cell populations across sound-US and
light-US trial conditions (common: 5.08±0.77%, sound-US unique: 15.75±1.21%, light-US unique: 16.64±1.31%).
Predicted overlap = 4.52±2.95%. Control, comparison of single-CS-trials, subdivided into interleaved blocks to
simulate the modality division of multiCS sessions. (common: 4.43±0.34%, set1: 13.95±0.80%, set2: 14.37±0.70%).
There was no significant difference observed between multiCS and Control (chi-square test, p=0.98).
D: SVM prediction of modality for different categories of cells. SVMs were trained respectively on all cells in MultiCS
sessions; All cells Single CS as control; modality shuffled MultiCS data; and Multi-CS data from time cells only. As
expected, SingleCS control and shuffled SVMs perform at chance level. All cell MultiCS trained SVMs are more
accurate than SingleCS control (p<0.0001 MW) and also more accurate than Time-cell MultiCS SVMs (p=0.001,
WPT).
Finally, we asked if time-cell information was independent or correlated with modality
information. T o do so we utilized the multiCS phase of behaviour, during which the animals had
to recall both stimulus modalities in an interleaved manner. This allowed us to contrast cell
responses within an individual session. We utilized only those sessions in which behaviour
performances exceeded 50%. In all, 6 scores were omitted out of a total of 58; 3 of the omitted
scores were from the same animal .
We found stimulus-dependent increase in activity in both sound-US and light-US trials(p<0.0001
[WPT]; figure 6Ai and ii) in both the stimulus and post-stimulus periods compared to the
pre-stimulus period. Additionally, this increased activity was consistent in both paired and probe
trials, indicating that the increase was not just due to the presence of an aversive US ( p<0.0001
for all pre vs stim and pre vs post comparisons, p<0.001 for pre vs stim in light-US trials. WPT).
Thus the occurrence of both CS and US consistently elevated network activity, irrespective of
the trial modality.
We then asked whether the activity of time cells correlated with behavioural scores. We found
that time cell scores were independent of the behavioural scores for both modalities (figure
6Bi-iv). The slope of the linear regression line for sound-US trials during the stimulus phase was
0.04±0.029, and for the post-stimulus phase, -0.015±0.013. For light-US trials, the stimulus
phase slope was -0.002±0.022, and for the post-stimulus phase, -0.008±0.12. These values are
not significantly different from zero (F-test), indicating no correlation between time cell score and
behaviour score.
Next we checked if the sound-US and light-US trials had the same set of time cells or not. We
found some cells were common for both conditions and some were unique (figure 6C.
Common:5.08±0.77%, sound-US:15.75±1.21%, light-US:16.64±1.313%). If these numbers were
obtained from a uniform distribution, we would expect:
Predicted common% = total sound% X total light%
Applying this calculation we obtained predicted common% = 4.52±2.95%. The error bounds of
this overlap with the observed value of common% = 5.08±0.77%. The predicted common and
observed common are not statistically different (p=0.85. Unpaired t test ). This shows that the
observed common proportion is indistinguishable from an overlap that is expected from two
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random proportions. This supports the claim that the distribution of the population into sound-US
and light-US cells is probably arbitrary and does not reflect CS modality encoding
T o further test if time-cells carried modality-specific information, we conducted a control analysis
using data from a single-modality CS-US session, but subdivided into dummy interleaved CS1
and CS2 trials as if it were a multiCS session. This process yielded a modality distribution of
time cells that closely mirrored our initial observations: there were cells common to both sets, as
well as unique cells within each set (figure 6C common: 4.43±0.34%, set1: 13.95±0.8%, set2:
14.37±0.7%). There was no significant difference between these two distributions (p=0.98, chi
sq test).
Can one classify modality from time-cell activity using an SVM? We used four datasets for
training: all cells in MultiCS sessions; All cells from dummy interleaved Single CS sessions as
control; modality shuffled MultiCS data; and MultiCS data from time cells only. (multiCS-all
cells=0.65±0.02, singleCS=0.51±0.008, shuffled=0.5±0.0005, multiCS- time cells=0.6±0.02
Mean±SEM). SVM trained on all cells from multiCS sessions performed significantly better than
the SingleCS control (p<0.0001, MW), but also better than the MultiCS-timecell SVM
(p=0.001,WPT) (Fig 6D). Thus in multiCS sessions the CA1 neurons carry information about the
CS modality. However, although time-cells may carry some modality-specific data, this is no
more than the general population of CA1 cells.
In summary, CA1 cell activity does not vary significantly with the switch in conditional stimulus
(CS) modalities when animals interleaved recall between sound and light stimuli. Time cell
activity was independent of the behavioural performance, and the proportions of time-cells
specific to modality were not significantly different from controls. While time-cells do carry weak
modality-specific data that can be detected by SVM classification, this is no more than the
general population of cells. The general population does encode some contextual information
about the CS.
Discussion
Our study mapped the emergence and dynamics of time cells in the hippocampal CA1 region
across multiple stages of Trace Eyeblink Conditioning (TEC), incorporating two sensory
modalities which were first presented in individual sessions, then interleaved within a session.
Concurrently, we performed two-photon calcium imaging to capture the hippocampal CA1
activity throughout these behavioural stages. Neither the proportion nor precision of time
locking, measured by two independent measures, changed with learning. Furthermore, time cell
formation was not significantly influenced by the stimulus modality. Interestingly, network
reliability exhibited a transient spike aligned with crossing learning criterion, suggesting its
potential as an indicator of learning onset. While most time cells remapped between days, those
cells that did persist retained time-selectivity within their original stimulus or post-stimulus
epoch. Finally, we observed that a population of cells exhibited reliable time encoding following
the unconditioned stimulus of TEC, suggesting that such sequential activity emerges even when
there is no subsequent behavioural dependency on timing information.
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Time cells manifest differently in different behavioural contexts
Time cells have been investigated in relatively few behavioural contexts, and their properties
are quite different. We consider three cases: 1. Delayed Non-Match to Sample and Alternating
8-maze tasks (MacDonald et al., 2013, 2011; Pastalkova et al., 2008; T axidis et al., 2020) both
of which involve maintenance of a valence signal for several seconds; 2. Trace Eyeblink
Conditioning (TEC) tasks of under 0.5 seconds, and 3. trace fear conditioning (FC), where time
cells do not emerge at all over ~10 seconds (Ahmed et al., 2020).
A key point of difference is in the nature of time information demanded by the tasks. First,
DNMS experiments typically span ~10 s intervals (MacDonald et al., 2013, 2011; T axidis et al.,
2020), vs ~0.5s in TEC(this study). Second, DNMS requires a choice between 'go' or 'no-go'
actions whereas TEC does not require a choice. Third, DNMS tasks necessitate
decision-making after the stimulus-free period, whereas TEC mandates a specific, timed
conditioned response (CR) within the trace interval. Below we suggest that these task
requirements relate to the differences between DNMS and TEC time-cells.
Day-to-day remapping of time-cells differs between DNMS and TEC . In DNMS there is partial
stability of time-encoding between sessions (T axidis et al., 2020). In contrast, in TEC we find
that time-cell identity is not maintained from day to day (figure 4B). In DNMS there is a
consistent stimulus-driven rule which the animal has to retain from day to day, whereas in our
TEC task there is no stimulus-choice decision, and the timing of the response is independent of
modality. We speculate that these cell consistency differences arise because of the different
requirements for remembering modality.
We consider Fear Conditioning (FC) as a third behavioural context for comparison because one
might expect a role for time cells in bridging the interval between cue and the aversive stimulus.
However, time cells do not occur in FC (Ahmed et al., 2020). One possible difference between
time-cell eliciting tasks (DNMS/8maze/TEC) vs FC is whether the animal needs to perform an
action following the interval. We argue against this, because we also see time-encoding activity
in our TEC task after the US (figure 3Dii,iv), when no further behavioural action is required. As
an alternate model, we speculate that FC is distinct in how it involves other brain regions such
as the amygdala (Bucci et al., 2002; Doron and Ledoux, 1999; Gale et al., 2004; Kim and
Fanselow, 1992). This would predict that time-cell like activity may yet be observed in FC,
possibly in the amygdala.
Overall, our study strengthens and sharpens an emerging picture of distinct characteristics (or
even absence) of time cells, dependent on behavioural context.
Time cells emerge differently during different kinds of training
Very few studies look at time cell emergence during learning. (T axidis et al., 2020)reported an
increase in time cell proportions as the animal learnt the task, showing a direct correlation of
time cells with behavioural learning of DNMS tasks. A similar result was reported by (Ma et al.,
2024)where animals learnt to associate a CS+ with a reward and discriminate it from a CS- and
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respond with a go or no-go action. In the period when the animal learnt to discriminate the
stimuli, the cells became more reliable and it became possible to predict the animal’s decision
from the ensemble activity. An even more direct comparison is with previous work on
hippocampal time cells (Modi et al., 2014), which notably used TEC like the current
experiments. Modi et al. observed increased time cell reliability scores among learners
compared to pseudo-conditioned animals, particularly in sessions’ latter halves, aligning with
learning performance. Each of these results stand in contrast to our observation that neither
time cell proportion nor reliability increased as the animal learnt a TEC task (figure 3Di-iv).
Instead we found time cells in similar proportions throughout the learning process. However, we
also observed that the identity of time cells is dynamic, changing from day to day (figure 4B),
suggesting drift in the hippocampal representation of time. This differs from the relative stability
of time cells seen in other tasks which had stimulus free intervals (Mau et al., 2018b; T axidis et
al., 2020). We speculate that when time-cells are stable, as in DNMS, they also form gradually
over the course of learning. The different outcomes for TEC may be explained by the fact that
Modi et al used louder stimuli in an acute preparation, both of which contribute to stress. It has
been shown that stress increases CA1 excitability and plasticity (De Kloet et al., 1999; Shors,
2001; Shors et al., 1992; Shors and Servatius, 1997; Weiss et al., 2005), leading to rapid
learning. We interpret our TEC findings as indicative of a rapid formation process, mirrored by
rapid remapping. There are some parallels between our findings for time-cells, and observations
of place-cell stability over days (Ziv et al., 2013). In both cases the proportion of time (place)
cells remained similar at ~18% (25%) but the identity of tuned cells changed (figure 4B). On
successive days, each cell was no more likely than chance to be a time (place) cell again.
Further, cells which were place-cells on subsequent days retained their place fields, similar to
how multi-day time-cells continued to fire in the same epoch (stimulus vs. post-stimulus) of the
task (figure 4C).
These findings collectively imply that time cell emergence and maintenance dynamics may be
influenced by stress and by task demands, specifically multi-day decision-making (DNMS) or
precisely timed stimulus association (TEC).
Network Reliability Increases Transiently During Learning
Although Time-cell Proportions Do Not Change
Previous observations (Kim et al., 1995)show the hippocampus's transient involvement during
TEC learning, subsequently diminishing in significance for task recall. Our observations
corroborate this with a network readout of time-cell activity (figure 5). Despite the constancy in
the proportion of time cells and their scores throughout the learning phase (discussed above),
we observed a notable peak in network reliability scores prior to animals achieving a 60%
behavioural criterion in 8 of 9 subjects (figure 5A,D,E). This network reliability peak typically
occurred for a single day, and on other days, network reliability scores were significantly lower
(figure 5B). There was a marked improvement in behavioural performance after this peak in
network reliability (figure 5C,E). This phenomenon mirrors cellular-level observations from past
research (Moyer Jr. et al., 1996), which noted an increase in CA1 pyramidal cell excitability
post-learning acquisition, peaking 24 hours after and returning to baseline within seven days.
Similarly, (Miller et al., 2022)documented enhanced granule cell excitability in the dentate gyrus,
upstream of CA1, correlating with learning progression, suggesting a broader neural adaptability
mechanism during learning phases.
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Time-encoding cells are active post-stimulus despite no
subsequent timing requirements
We observed that 60% of our time-tuned cells (~13.5% of the total number of recorded neurons)
were active post-stimulus (figure 3Dii,iv and Fi,ii). This activity did not serve any apparent
behavioural purpose, since there was no later time-bound stimulus, nor a timed response
required from the animal. T o our knowledge this is the first account of post-stimulus
time-encoding in the hippocampus, though similar delayed activity has been reported in cortex
(Curtis and Lee, 2010; Frank and Brown, 2003; Fuster, 2001; Goldman-Rakic, 1995). We
consider two related observations which might share an underlying basis. The first is the
observation that about 5% of hippocampal neurons participate in internally occurring cell
sequences, in the absence of any external triggers (Villette et al., 2015). Here these sequences
occurred when a mouse ran on a treadmill. The interpretation was that such sequences
spontaneously emerge throughout motor activity. The second related observation is that of
preplay, in which pre-existing reliable cell sequences recur as part of stimulus-driven place-cell
activity (Dragoi and T onegawa, 2011). The authors interpret these pre-existing sequences as a
template onto which salient event sequences are associated.
The similarity between our observation of post-stimulus time-encoding cells and these studies is
that the cell sequence occurs in a stimulus-free interval, with no subsequent behavioural
dependence. The key difference is that neither of these two studies had a stimulus trigger. An
existing theoretical framework for our observation of post-stimulus sequences is that of
echo-state or liquid-state networks, in which a stimulus triggers sustained reverberatory activity
in a recurrent network (Buonomano and Maass, 2009; Laje and Buonomano, 2013; Maas and
Markam, 2004; Maass et al., 2002). This activity is then available for association with
subsequent stimuli, leading to distinct network outcomes or plasticity (Dragoi and T onegawa,
2011; T sodyks et al., 1999). We find it particularly suggestive that we observed sustained
time-encoding not only in regular trials, when the last stimulus was the air-puff US, but also in
probe trials, in which only the conditioned stimulus was delivered. Notably, the probe-only time
cells were a different population from the regular paired CS-US cells. Further, we observed
probe-only post-stimulus activity even in the early training sessions, suggesting that this activity
occurs even in the absence of learned behavioural context.
Based on this, we suggest that the post-stimulus activity does share several of the hallmarks of
echo-state network reverberatory activity. However, the CA1 is an unlikely substrate for
recurrent activation hence our observations may be a readout of such echo-state behaviour in
upstream networks such as the CA3 or entorhinal cortex (Laje and Buonomano, 2013).
Time cells in TEC encode task structure but not modality
One unique feature of our behaviour design was the use of distinct sound and light CS stimuli in
alternating blocks within a single session (MultiCS sessions). This was designed to highlight
modality-specific responses and potentially distinguish between cells responding to modality vs.
‘pure’ time cells. Surprisingly,time cell identities appeared indifferent to the CS modality (figure
4E). Other studies have also reported instances where stimulus changes do not trigger cell
remapping. (Ma et al., 2024) detailed how animals learning to differentiate between a CS+ (that
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signals a reward) and a CS- show a representation of valence and not stimulus identity in CA1.
Even when the stimuli are swapped, the same cluster of CA1 ensembles flipped to encoding the
new CS+ (which was earlier CS-). Hence the study concluded that the cluster of CA1 neurons
maintained a representation of valence (reward indication) rather than CS identity.
In contrast to these observations, many studies report time cell remapping upon any protocol
modification. For instance, any change in the initial stimuli in a DNMS task triggers a reshuffling
of CA1 time cells (MacDonald et al., 2013; T axidis et al., 2020), suggesting these cells encode
not only time but also its relation to specific memories.
Overall, these differences further underscore the importance of behavioural context in
determining time-cell dynamics, even in relatively similar tasks.
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
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Author contributions
Conceptualization by SB,USB; Methodology by SB,USB; Software by SB; Validation by SB, HN;
Formal analysis by SB; Investigation by SB, HN; Resources by USB; Data curation by SB, HN;
Writing–original draft by SB,USB; Writing–review and editing by SB,USB, HN; Visualization by
SB, HN; Supervision by USB; Project administration by USB; Funding acquisition by USB.
Acknowledgements
Funding support was from Department of Biotechnology grant BT/PR12255/MED/122/8/2016
and NCBS-TIFR core funding from Department of Atomic Energy, Government of India, Project
Identification No. TRI 4006. We acknowledge NCBS campus facilities including Central Imaging
and Flow Cytometry Facility, and Animal Care Resource Centre; and mechanical and electronic
workshop. Anal Kumar assisted with GLM analysis to predict time from population and time-cell
activity and SVM analysis to classify CS modality based on neural activity. Dilawar Singh helped
develop computer programs to run behaviour hardware.
Methods
Key Resources T able
REAGENT or
RESOURCE
SOURCE IDENTIFIER
Experimental Models:
Organisms/Strains
C57BL/6J-Tg(Thy1-GCaMP6f)GP
5.17Dkim/J
Jackson Laboratories 025393
C57BL/6J Jackson Laboratories
Software and Algorithms
MATLAB 2022b https://in.mathworks.com NA
27
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted July 30, 2024. ; https://doi.org/10.1101/2024.07.28.605458doi: bioRxiv preprint
/products/matlab.html
Suite2p(MATLAB version) Pachitariu et al., 2017 https://github.com/cortex-lab/
Suite2P
Custom code for data processing
and analysis
This paper https://github.com/BhallaLab/
MultiCSAnalysis
Custom code for time cell
analysis
Ananthamurthy and
Bhalla 2023
https://github.com/BhallaLab/
TimeCellAnalysis
Custom code for behaviour This paper https://github.com/BhallaLab/
MouseBehaviour
EXPERIMENTAL MODEL AND SUBJECT DETAILS
Animals
A total of 10 GCaMP6f+/- (C57BL/6J-Tg(Thy1-GCaMP6f)GP5.17Dkim/J crossed with
C57BL/6J), adult (12-24 week old) mice were used for in vivo two-photon calcium imaging
experiments. An additional 9 mice which were GCaMP6f-/- and 12-24 week old were used for
behaviour experiments without calcium imaging. All animals were experimentally naive. All
animals were acquired from The Jackson’s Laboratory and were housed in cages of 2-4
animals, on a 12 hour light/dark cycle.
Methods
DETAILS
Surgical Procedures
T o create the hippocampal window, we adopted the protocol previously reported by (Dombeck
et al., 2010). All animals were water-deprived for 3-5 days before the day of the surgery till they
reached 80% of initial body weight. Mice were anesthetized with Isoflurane (ISIFRANE 250,
Abbott, North Chicago, IL, USA), vaporized and diluted with Carbogen (95% oxygen, 5% CO2 )
using a tabletop anesthesia machine and vaporizer (Item:901801 and 911103 from VetEquip
Inc). 2 L/min vapor flow was used for induction and 1.2-1.5 L/min for keeping the mice under
anesthesia while body temperature was maintained using a feedback-controlled heating pad
(TC-1000 T emperature Controller and mouse heating pad from CWE Inc., USA). The mice were
head-fixed using cheek clamps (Mouse Stereotaxic Adaptor, Stoelting Co.). Eye ointment
(Chloramphenicol 1%w/w) was used to prevent desiccation of eyes when animals were under
anesthesia. The fur on the animal’s head was trimmed using scissors until the scalp was cleanly
exposed. The scalp was disinfected using 70% ethanol. A circular incision was made such that
bregma, lamba, and about 5mm of the skull was exposed on either side of the sagittal suture. A
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted July 30, 2024. ; https://doi.org/10.1101/2024.07.28.605458doi: bioRxiv preprint
cotton swab was used to remove fascia and to in general make the surface of the skull as dry as
possible. Millimeters were marked on the skull using a marker to act as guides. A lightweight,
custom-made stainless steel headbar with a circular central opening of 10mm diameter was
attached to the skull using UV-curing dental cement (3M ESPE RelyX U200, Shade:TR). We did
not use any skull screws for this process. Following this, a 3mm diameter burr hole was made
using a dental drill. The burr hole was centered 1.5mm left lateral and 2mm rostral to bregma.
The dura was removed using forceps, exposing the cortex underneath. A 26 gauge blunted
needle (26x1/2 DISPOVAN syringes, HMD Ltd.) connected to a vacuum line was used to
aspirate out the cortex, using constant washes with cortex buffer (125 mM NaCl, 5 mM KCl, 10
mM each of glucose and HEPES, 2 mM each of CaCl 2 and MgCl 2, and adjusted to pH 7.35
using NaOH) to prevent desiccation of the tissue. While the cortex buffer washes continually
removed blood from the cavity, persistent bleeding if any was allowed to continue for 5-10
seconds as this helped the open blood vessel to clot. Cortical aspiration was done in a circular
manner, leaving a cylindrical cavity of about 1 mm depth. This process took 15-20 mins.
Aspiration was continued till the corpus callosum fibers were visible. The first two layers of the
corpus callosum were removed leaving the third layer on the hippocampus. At this point, any
remaining cortex buffer was suctioned out and the cavity was allowed to dry for 10-15 seconds
till it lost the “glistening look”. A very small amount of Kwik-Sil (low-toxicity silicone adhesive
from World Precision Instruments, Inc.) was applied directly to the exposed hippocampus. A
stainless steel cannula which was previously prepared was slowly inserted into the cavity. The
cannula had an outer diameter of 3mm and had a 3mm coverslip (D263 coverslip CS-3R, #0
thickness, Warner Instruments, LLC) attached at the lower end using a UV curing glue (Norland
Optical Adhesive NOA 81). The coverslip sat directly on the hippocampus and the weight
pushed the dab of Kwik-Sil to distribute it more evenly. The Kwik-Sil acted as a transparent
adhesive between the cannula and the hippocampus and aided in reducing relative movement
during imaging. Any gaps between the outer lateral surface of the cannula and the edge of the
skull cavity were sealed with a second round of Kwik-Sil. Following this another round of dental
cement was used to cover any exposed skull surface. Dental cement was made to flow around
the lateral surface of the cannula and the upper part of the headbar for additional stability. This
was done to reduce relative motion between the headbar, skull, and the cannula. The animals
were then allowed to come out of anesthesia. Isoflurane was switched off and the animals were
given a supply of Carbogen (5% CO 2, 95% O 2) at 1LPM till the breathing became normal. The
animals were transferred to their home cage and kept at 1ml water per day till the end of the
experimental period. They were given ibuprofen (2ml/L) and enrofloxacin (1ml/L) for 3 days ad
libitum in water..
Experimental Setup
A cylindrical foam cylinder( 15.24 cm diameter, 11.43 cm length) with a metal axle through the
axis which allowed 1D movement (forward and backward) was used as a treadmill. The
previously implanted headbars were used to headfix the animals with the help of a
custom-made clamp. Experiments were carried out in the dark in a chamber made of black,
anodized steel which also housed the microscope. The microscope used was an in-house,
custom-built, two-photon microscope. A Blue LED (480nm) positioned 7mm away and slightly
towards the left of the mouse’s snout was used to deliver the light stimulus. Two speakers, one
on each side and about 45cm away from the mouse were used to deliver a 3500Hz sound
stimulus at 65dB. A wall-mounted supply of carbogen (~15 psi), passed through a flowmeter
(~0.2 to 0.3 LPM, Cole Parmer) was used as an air source for the US. A PVC clear tubing with a
18 gauge syringe attached to the front was used to deliver the air-puff to the eye. The puff port
was placed 5mm away from the animal’s left eye. The airflow was controlled using a solenoid
29
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valve (EV mouse valve, Clippard, Cincinnati, OH, USA). The eyeblink response was recorded at
200fps using a IR video camera (Blackfly S USB3; BFS-U3-13Y3M-C, T eledyne FLIR LLC) that
was connected via USB to a laptop, where the data was saved.
The LED, speakers, solenoid, and camera were all controlled via an Arduino microcontroller
which also provided a TTL pulse to trigger the imaging. The behaviour rig was controlled by a
custom python software (https://github.com/BhallaLab/MouseBehaviour).
Behaviour training and recording protocol
The Trace Eyeblink Conditioning (TEC) protocol, adapted from Siegel et al., 2015, involved a 50
ms conditioned stimulus followed by a 250 ms trace interval and a 50 ms unconditioned
stimulus, which was a puff of air directed at the animal’s eye. Our behaviour study comprised
three stages of TEC termed Learning1, Learning2, and MultiCS.
Mice were handled for at least 3 days or until they were comfortable on the palm and did not
jump off. The first day of handling coincided with the initiation of water restriction. Following the
handling animals underwent craniotomy and headbar implant surgery. Mice were allowed to
recover from the surgery for 5 days during which they were kept at a restricted water supply of
1ml/day. Their body weight was maintained at 80% or pre-water restriction weight.
The animals (n=9) were started on the CS1-US pairing, we called this learning1. Each day
consisted of a single session of 60 trials(Figure 1Ai); out of which 10% were pseudo-randomly
assigned as probe trials. The probe trials were CS only trials. 2 animals received sounds as
CS1 and 7 received light. After the animals performed at 60% conditioned response criteria they
were kept on the same protocol for 1.77±1.2 (mean±SD) days more for the response to stabilize
(Supplementary Figure 1Bi). Animals (n=5) were then transferred to learning2 where the CS
modality was switched; if it was light in learning1 then it was switched to sound, vice
versa(Figure 1Aii). Learning2 continued till the animals hit the same criterion (supplementary
Figure 1Bii). Following this animals progressed to the multiCS stage where they received both
pairings. Sound-puff and light-puff trials were presented in an interleaved manner, in blocks of 5
trials in each block (Figure 1Aiii). The last trial of every block was a probe trial. Animals (n=6)
underwent multiCS sessions for 4.3±1.7 days (mean±SD). 1 out of the 6 animals considered for
multiCS data also underwent both the previous protocols but weren’t included in learning1 and
learning2 data due the animal not being naive before the first training.
Behaviour-only Experiments
A cohort of 9 mice were headbar implanted but did not receive the craniotomy. These animals
were used to give a better estimate of the behaviour learning curve but did not contribute to the
calcium imaging data.
All 9 animals went through learning1. Out of them 4 animals received light as CS1 and were not
moved to the next phases after they acquired learning1. Out of the remaining 5, 3 received light
as CS1 and 2 animals got sound. The progression criteria remained the same as in calcium
imaged animals-60% conditioned responses in a given session. These 5 progressed to
learning2 where the first 3 underwent sound-puff pairings and the last 2 received light-puff
pairings. All 5 animals were then moved to the multiCS phase where they got both sound-puff
and light-puff trials, in blocks of 5 trials as mentioned in the previous section.
The mean learning curves of the behaviour-only animals were not statistically different from
those that were coupled with imaging (KS test, p=0.7 for learning1 and p=0.97 for learning2).
This allowed us to pool the dataset and create combined behaviour curves for learning1(n=18)
and learning2(n=10) (Supplementary figure 1Ci and ii).
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In vivo two-photon imaging
A custom-built two-photon microscope with galvo scanning (Model 6210H, Cambridge
T echnology, Inc.) was used to acquire calcium data, capturing approximately 100-150 cells
within a 190 x 190 pixel field of view at a frame rate of about 11.5 Hz. The system utilized a Ti
excitation laser (Chameleon Ultra II, Coherent) operated at 910 nm. GCaMP6f emission was
collected through a water immersion objective (N16XLWD-PF - 16X Nikon CFI LWD Plan
Fluorite Objective, 0.80 NA, 3.0 mm WD) and detected with an analog GaAsP PMT
(H7422P-40; Hamamatsu, Japan). The amplified signal was binned for 2µs to construct each
pixel. All imaging and behaviour experiments were conducted in complete darkness to prevent
any light interference.
The imaging setup was controlled using LabVIEW 8.0 (National Instruments). T o prevent the
scan mirrors from producing auditory cues that could indicate the start and end of trials, they
were kept active between trials for all but 2 animals. For G141 and G142 the scan mirrors were
off during the inter trial interval. This may have cued the animals about the start of a new trial
and we do not rule out a slight difference in neural response due to this. Imaging was
synchronized with behavioural events using a TTL pulse from an Arduino microcontroller that
also managed the behavioural setup.
QUANTIFICATION AND STATISTICAL ANALYSIS
Calcium Imaging Data Analysis
Preprocessing using Suite2p
Two-photon calcium imaging data were captured and saved in TIFF format using LabVIEW 8.0.
These files were processed using the MATLAB version of Suite2p (Pachitariu et al., 2016),
which performed automated ROI detection and motion correction.
Suite2p identifies ROIs by clustering pixels with highly correlated intensity profiles within a
predefined size range of 10-15 um, approximately the size of a pyramidal neuron cell body.
Each pixel within an ROI is weighted based on its correlation to the centroid intensity of that
ROI, and the cell's activity is calculated as the weighted sum of these pixels. Overlapping
components and neuropil contamination was removed. ROIs were manually refined using
Suite2p functions. Subsequent analyses were performed using custom scripts in MATLAB
(R2022b).
dF/F calculation
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The baseline fluorescence for each cell was calculated as the 10th percentile of the raw
fluorescence trace for that trial. Fluorescence values for each frame were then
baseline-subtracted, normalized, and converted into dF/F traces. These traces were stored as
3D matrices organized by cells, trials, and frames.
dF/F clean-up and filtering
In light-puff sessions, the microscope's objective often captured an artifact from the LED flash
used as the conditioned stimulus, which appeared in the neuronal data. T o address this, we
replaced the dF/F value at the CS frame with the median of the previous five frames. For
consistency, we applied the same correction to sound-puff sessions as well.
Calcium transients from GCaMP6f typically span 180-200ms, corresponding to approximately
2-3 frames in our dataset. Signals shorter than this duration were identified as noise, often
resulting from within-frame XY movement or Z-axis motion. T o clean the data, we binarized the
dF/F matrix, classifying values as signals only if they exceeded two standard deviations from the
mean of that trial for each cell. This process effectively removed noise which typically
manifested as single-frame signals.
Multiday Cell Registration
Cells were matched across days using a Suite2p function that facilitates the alignment of the
same landmarks on different days. The fields of view are transformed and overlaid. An ROI is
identified as the same cell across days if it overlaps by at least 60% with the ROI from the
subsequent day. This process was extensively manually curated to eliminate any false positives.
Cells were classified as multiday time cells if they were detected on consecutive days and met
the time cell criteria on each day. The percentage of multiday time cells was calculated based
on the number of cells identified as time cells on a given day that could be matched to an ROI
on the subsequent day.
Time Cell Detection
Time cells, defined as neurons that fire consistently at the same time relative to the CS onset
across trials, were identified using a custom C++ code (Ananthamurthy and Bhalla, 2023). This
code employs two algorithms to detect time cells: the ridge to background method (Modi et al.,
2014) and the temporal information method (Mau et al., 2018b).
For the ridge to background method, the peak response time (PT) of each cell was determined
from the averaged dF/F traces spanning from the onset of the CS to 1.5 seconds after the US
ended. This calculation used only alternate trials, while the remaining trials were employed to
compute the ridge to background (R2B) ratio scores for assessing reliability. For these
calculations, trials were averaged, and the summed area under the PT and its two adjacent
points was determined. The ratio of this area to the area under all other points in the averaged
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trace was defined as the R2B ratio. For a control measure, these traces were randomly
time-shifted before averaging. An independent PT was identified for each randomly shifted
trace, and an R2B ratio was computed. This process was repeated 1,000 times for each cell's
data and the results were averaged. The R2B score for each cell was then calculated as the
ratio of the R2B ratio for aligned traces to that for randomly shifted traces. Cells with R2B scores
exceeding 2 were classified as time cells.
Linear regression model to decode time from time cell activity
We employed a linear regression model to decode elapsed time from the CS onset using the
neural activity of time cells. For each frame in a trial, starting from the first frame after the CS to
the 24th frame after the CS, we constructed a neural activity vector which consisted of the dF/F
of all the time cells in that frame. This resulted in 24 neural activity vectors per trial and n x 24
neural activity vectors per session where n is the number of trials in the session (typically 60).
Each of these neural activity vectors were labeled by an integer corresponding to its frame
number after the CS frame (0 to 23) excluding the CS frame. Some cells and frames were
removed if any of their entries contained NaN and Inf. Scikit-learn’s LinearRegression was then
trained to predict the frame number based on the neural activity vector. We report a 5-fold
cross-validation score. The score is defined by:
𝑆𝑐𝑜𝑟𝑒 = 1 −
∑(𝑦𝑡𝑟𝑢𝑒 − 𝑦𝑝𝑟𝑒𝑑)
2
∑(𝑦𝑡𝑟𝑢𝑒 − 𝑦𝑡𝑟𝑢𝑒)
2
Where ytrue it the true label of the neural activity vector, ypred is the predicted label, and ̅ytrueis the
mean true label. If all the predictions match the true labels perfectly, the score is 1 while if the
model performs worse than chance, the score can go below 0. Do note that while all ytrue were
positive integers ranging from 0 to 23, there were no explicit constraints imposed on the range
or number type on ypred.
As control, we also shuffled the frame labels 1000 times for each session and trained a model
on each such shuffle.
Network Reliability
A network reliability parameter was defined to determine whether the network as a whole and
not just individual cells was becoming more reliable with training. A reliable network would have
a greater proportion of cells which are time tuned. Further, the degree of reliability of the
individual cell would also have a positive correlation on network reliability. So, network reliability
was defined as the sum of reliability scores of all time cells weighted by the proportion of time
cells
Network Reliability = Sum of R2B scores of time cells x (number of time cells/Total cells)
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Support vector machine for decoding CS identity
A Support Vector Machine (SVM) with linear kernel was employed to determine if cells encode
information about the CS modality during multiCS sessions. A 2D neural-frame activity matrix
was constructed for each trial which consisted of the dF/F of either all cells or only time cells
across frames starting from the 1st frame after CS to the 25th frame after CS. This 2D matrix
was rasterized to produce a single neural-frame activity vector. This vector was used to train an
SVM with the labels corresponding to the CS used in that trial (0 for light-puff trials and 1 for
sound-puff trials).Scikit-learn’s LinearSVC was used for this purpose. A 5-fold cross validation
score was computed for each session which typically had 30 sound-puff trials and 30 light-puff
trials. The score was defined as the ratio of correct predictions to total predictions. A perfect
decoder would have the score of 1 while a decoder with no correct prediction would have a
score of 0.
Additionally, as a control, the label for each neural-frame activity vector was shuffled 1000 times
and scores were calculated. We also performed another negative control where singleCS
light-puff sessions were used with each trial randomly labeled as light-puff or sound-puff. A
decoder trained on this data would have by chance close to 50% accuracy.
Behaviour Analysis
Eye blinks captured by the camera were saved as TIFF files. Using a custom MATLAB script,
the eye region was identified and binarized into eye and non-eye areas. A central eye section
was analyzed to determine eyeblink status, following the method described by Siegel et al.
2015. Each frame was assigned a Fraction Eye Closure (FEC) value, calculated by dividing the
number of pixels representing the eye in that frame by the maximum number of pixels defining a
fully opened eye in that session.
For each trial, a baseline was calculated by averaging the FEC values for 500ms before the
conditioned stimulus (CS) onset. This baseline helped to minimize false positives, particularly if
the animal's eye was partially closed even before the CS was presented. An eyeblink response
was defined as an FEC value exceeding 10% above the baseline. The formulas used were:
FEC of frame n = number of eye pixels in frame n / number of pixels in fully opened eye
Baseline = Average FEC for 500ms prior to the CS
Threshold = baseline + 0.1(1 - baseline)
If the FEC value exceeded the threshold between the onset of the CS and the US, it was
classified as a Conditioned Response (CR). T o prevent false positives, trials in which animals
exhibited excessive blinking during the pre-stimulus period were excluded if the Fano factor
exceeded 0.5.
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Statistical analysis
All statistical tests were performed using GraphPad Prism 10. T est details are mentioned in the
figure legends and main texts. Unless mentioned otherwise, nonparametric tests have been
used as most distributions were not sufficiently close to normality as determined by
Kolmogrov-Smirnov and Anderson-Darling tests (p>0.05).
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Supplementary Material
Multimodal and interleaved trace-eyeblink conditioning
Supplementary Figure1
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Supplementary Figure 1: Three stage Trace Eyeblink Conditioning Responses and Learning dynamics
A: Post-learning eyeblink response for a multiCS session, showcasing conditioned response (CR) to both sound as
well as light. In all cases the CS onset is at 500 ms and US onset at 800 ms. Ai: Heatmap for eye closure as a
function of time for 60 sound-US trials. Aii: Normalized, trial average of Ai for paired (pink) and probe (green) trials.
Aiii: Heatmap for eye closure as a function of time for 60 light-US trials. Aiv: Normalized, trial average of Aiii for paired
(pink) and probe (green) trials. Av: Same as Aii but showing threshold for classifying eye closure as a conditioned
response (Threshold = 10% of a full eye closure).
Bi: Learning curves for calcium imaged animals. Bi: Learning1: CS1-US, n=9 animals. Bii: Learning 2: CS2-US, n=5
animals.
Ci: Learning curves for CS1-US of 18 animals (n=9 each for Calcium imaged and “behavior only”). Animals were
trained till they showed 60% CR and continued for an additional one to two days (1.77±1.2 days ,mean±SD ). Cii
Learning curves for CS2-US of 10 animals (n=5 each for Calcium imaged and “behaviour only” ). Gray lines show
individual mouse’s data, black line shows the average.
D: CR increases from the first to the last day of training, demonstrating successful conditioning acquisition. Di: data
for learning1 (first day: 10.46±5.701, last day: 83.68±28.808. p<0.0001,WPT). Dii: Data for learning2 (first day:
37.61±10.56, last day: 72.2±5.687. p=0.005, WPT) demonstrating successful conditioning acquisition.
E: Animals reach criterion quicker for learning2 compared to learning1. Time required to reach a 60% behaviour
score for learning1 (5.55±0.715 days) is longer than for learning2 (3.3±0.869 days for 10 subjects), (p=0.04, MW).
F: Animals perform at criterion for both stimulus modalities during interleaved trials. Fi: all trials. Fii: sound trials. Fiii:
light trials.
G: Consistent behaviour performance across all 5 trials in a block and all 6 blocks in a session, for each trial type in
multiCS sessions. Gi: No significant differences are seen in animals’ performance across six blocks during sound-US
(Kruskal-Wallis T est [KWT]).Gii: The light-US blocks showed slight difference,particularly in the block (p=0.02,KWT)
but due to the differences being small we conclude that performance remains uniform. Giii & iv: Behaviour
performance remains uniform in all 5 trials within a block during multiCS sessions (sound-US: p-values=0.98;
light-US: p=0.74. KWT), highlighting rapid adaptation to CS modality shifts.
All calcium imaged subjects (n=9) reached criteria (timed Conditioned Response on 60% or
more of the trials in a session) for Learning1 on 5.1±1.1 days (mean±SEM)(Supplementary
Figure 1Bi). Animals were still kept on the same protocol for 1 to 4 sessions more
(1.7±1.2,mean±SD) before moving them onto the next phase, ie Learning2. Five of the initial
nine animals reached this stage and they all reached criteria in 3.3±0.8 days(mean±SEM)
(Supplementary Figure 1Bii). After this, in the multiCS stage, animals recalled the associations
for both modalities from the 1st day onwards for 4.3±1.7 days (mean±SD).
T o augment the dataset, additional "behavior only" subjects, equipped with headbars but not
subjected to craniotomy and cortical aspiration, were included in the analysis. We confirmed that
the mean learning curves of the two sets were not statistically different (KS test, p=0.7 for
learning1 and p=0.97 for learning2). 18 animals underwent learning1 (Supplementary Figure
1Ci), comprising both "imaging plus behavior" (n=9) and "behavior only" (n=9) groups. After the
animals reached 60% Conditioned Response (CR) for learning1, they were kept on the same
protocol for 1 to 4 additional sessions (1.77±1.2 ,mean±SD) to ensure that they had acquired
the pairing before being moved onto learning2, and to obtain larger two-photon datasets for
each learning condition. 10 animals underwent learning2 (Supplementary Figure 1Cii), evenly
split between "imaging plus behavior" and "behavior only" groups.
There was an improvement in performance over the duration of both conditioning paradigms as
measured by an increase in behaviour scores between the 1st and last day of training
(Supplementary Figure 1Di and ii. Learning1 first day: 10.46±5.7, last day: 83.7±28.8, p<0.0001.
Learning2 first day:37.61±10.56 ,last day:72.2±5.69, p<0.01. Mean±SEM, Wilcoxon
matched-pairs signed rank test [WPT]).
The time to achieve a 60% CR rate decreased from Learning1 to Learning2, possibly indicating
transfer learning effects from Learning1 (Harlow, 1949; Samborska et al., 2022; T se et al.,
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2007). Learning1 took 5.55±0.7 days (n=18) while Learning2 took 3.3±0.87 days (n=10) to reach
criterion (Supplementary Figure 1E. p<0.05 Mann Whitney test [MW])
The third stage was a multiCS phase where the animals had to recall both sound-US and
light-US, in an interleaved manner in the same session. Animals performed near criteria for both
modality even in early multiCS sessions (Supplementary Figure 1F . Behaviour score for 1st
multiCS session. Both modalities combined:75.62±6.559, sound-US:55.25±10.76,
light-US:64.88±6.927; mean±SEM ).
We found that performance across all six blocks within each modality remained consistent,
Kruskal-Wallis T est (p=0.24 and p=0.02) (Supplementary Figure 1Gi and ii). For light-US,
performance across five trials in each block showed minimal differences.
We further tested whether animals required time to adjust while switching between blocks, since
the first trial in each block was preceded by a trial with a different CS modality (Supplementary
Figure 1Giii and iv) (sound-US p=0.98, light-US p=0.74 [KWT]). This finding demonstrates the
animals' ability to swiftly adapt to changes in CS modality without a significant performance
drop.
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Network activity increases following stimuli in a
learning-independent manner.
Supplementary Figure 2
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Supplementary Figure 2. Stimulus-driven responses and learning effects on hippocampal CA1 network
activity.
A: Representative calcium activity from four trials of three exemplar cells across singleCS-US and multiCS sessions,
illustrating individual trial (above) and trial-averaged (below) post-stimulus time histograms (PSTHs).
B: Some cells show much higher activity than others. Cells arranged in descending order of activity (Calcium event
frequency). Exemplar data from 15 sessions of mouse G142. Gray lines show individual sessions, solid black line
shows the average.
C: Aggregate calcium event frequen cy of frames in the 3 epochs. Data collected from across 133
singleCS-US sessions. Significant increases occur from pre-stimulus (pre=0.3±0.001 Hz) to stimulus (0.37±0.003 Hz)
and post-stimulus periods (0.40±0.003 Hz). p<0.0001 (WPT) for all comparisons. Same observation held true for
probe trials, indicating that the increase in activity wasn’t simply US driven. Pre=0.31±0.004 Hz, stimulus=0.37±0.006
Hz and post-stimulus=0.31±0.003 Hz. p<0.0001 (WPT) for all comparisons.
D, E: Activity increases are not modality specific. D: Sound-US: pre=0.3108±0.0028 Hz, stim=0.3798±0.0065 Hz,
post=0.3826±0.0051 Hz; E: Light-US: pre=0.2867±0.003 Hz, stim=0.3474±0.0057 Hz, post=0.4156±0.0063 Hz;
p<0.0001 for all comparisons, WPT).
F: The active cell population is not constant in the 3 epochs. Individual cells change their activity states between
epochs. Activity of cells in the pre-stimulus, stimulus and post-stimulus period as measured by calcium event
frequency. Circles represent individual cells and lines connect the same cells in different epochs. Data Is from 1197
cells pooled from 19 sessions of G313
We next addressed the basic stimulus-driven responses of the pyramidal neurons in the
hippocampal CA1 network activity. The hippocampus is known to receive multimodal sensory
input (Acharya et al., 2016; Deshmukh & Bhalla, 2003; Ho et al., 2011; Komorowski et al., 2009;
Liu & Otto, 2020). We divided each trial into 3 epochs: ~1.7sec before the CS as
pre-stimulus(pre), 350ms of CS, trace and US as stimulus(stim) and ~1.7sec post US as
post-stimulus(post). We defined calcium events as signals where the dfbf value was more than
2 standard deviations higher than the mean. Supplementary Figure 2A shows the calcium
activity from 4 trials of 3 exemplar cells from a singleCS-US session and multiCS sessions(top
row) and the trial averaged PSTH curves (bottom row). We tracked calcium activity in animals
from naive to learned states and then in the recall phase. We looked at trial averaged activity
from 133 sessions of 10,383 cells.
In every epoch we found that the total activity of the network was dominated by a small
sub-population of cells, as would be expected since the hippocampus is known for sparse
encoding (Jung & McNaughton, 1993; Skaggs et al., 1996) (Supplementary Figure 2B).
Calcium event frequencies between the top 10% of active cells and the remaining cells across
each observation period are shown in main text figure 2B. For each epoch (pre-stimulation,
during stimulation, and post-stimulation) the top 10% active cells had markedly higher activity
rates. This finding supports previous research, indicating that a small group of highly active
cells, particularly in the Hippocampal CA1 region, are crucial in driving network responses.
(Agarwal et al., 2014; Senzai & Buzsáki, 2017; Treves & Rolls, 1994).
We looked at trial averaged activity from 133 sessions over all stages of learning, from 10,383
cells and asked if stimulus delivery causes an increase in network activity. We found a
statistically significant increase in network activity in the stimulus (0.37±0.003, p<0.0001. Mean
±SEM, WPT) and post-stimulus (0.4±0.003, p<0.0001. Mean ±SEM, WPT) epochs as compared
to the pre period (0.3±0.001) (Supplementary figure 2C). This increase was observed for probe
trials as well which did not have a US. (pre=0.3±0.001, stim=0.37±0.003, post=0.4±0.003.
p<0.0001 for both comparisons. Mean±SEM, WPT)
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Does activity depend on whether the stimulus was a sound-US pairing or a light-US pairing? In
both Sound-US (pre=0.3108±0.0028, stim=0.3798±0.0065, post=0.3826±0.0051; p<0.0001 for
both pre vs stim and pre vs post WPT ; supplementary figure 2D) and Light-US
(pre=0.2867±0.003, stim=0.3474±0.0057, post=0.4156±0.0063; p<0.0001 for both pre vs stim
and pre vs post WPT ; supplementary figure 2E) pairing sessions, an increase in activity was
observed during the stimulus and post-stimulus periods, indicating that the observed effect was
not dependent on the stimulus modality. This led us to conclude that the network experiences a
period of heightened activity following stimulus delivery, regardless of the stimulus type.
Additionally, this increased activity was consistent in both paired and probe trials, indicating that
the increase was not just due to the presence of an aversive US (p<0.0001 for all pre vs stim
and pre vs post comparisons, p<0.001 for pre vs stim in light-US trials. WPT)
Supplementary Figure 2F illustrates that the same population of cells is not active in all 3
epochs. This is exemplar data from mouse G313, 19 sessions. The highly active cells during the
stimulus phase were not active during the pre-stim period and many of them reduced their
activity in the post-stimulus period.
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Time cell scores and proportions are independent of learning.
Supplementary Figure 3
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Supplementary Figure 3. Time cell scores remain independent of learning progression according to both R2b
and Temporal information method
Ai: Time cell percentage during stimulus = 4.8±0.45% for Learning1 (CS1-US) estimated using a temporal information
(TI) metric (Mau et. al 2018). Aii: Post-stimulus percentage using TI metric=2.59±0.33%. The analysis confirms stable
percentages across learning stages without significant correlation to behavioral scores (stimulus period slope:
0.005±0.012; post-stimulus period slope: 0.01±0.009; both p>0.05, F-test).
B: Cell-wise R2B score of time cells do not change over learning stages. Bi: R2B scores during the stimulus period of
CS1-US show no significant changes across stages. Mean Score over all cells from all sessions during stimulus =
4.23±0.2. Linear regression analysis showed no correlation between R2B score and learning stage (regression line
slope = -0.002±0.005; not significant, F-test). Bii: Mean Score during post-stimulus = 3.68±0.115 was agnostic of
learning state as well (Regression line slope = -0.0008±0.003 was not significant, F-test). Biii: Similarly for Learning2
(CS2-US), time cell scores during stimulus period = 4.35±0.272 did not correlate with behaviour performance
(regression line slope = -0.014±0.001 ;not significant, F-test). Biv: Mean R2B score for the post-stimulus period of
CS2-US was 3.59±0.09 and it remained unchanged during learning (slope= -0.005±0.003, not significant by F-test).
C: Cross-validation with the temporal information method yields scores of Ci: 203.6±4.126 for the stimulus and Cii:
192.5±4.923 for the post-stimulus period, with no significant correlation to behavioral scores (slopes: -0.231±0.114 for
stim and -0.08±0.142 for post; both ns, F-test), reinforcing the stability and independence of time cell distribution from
learning progression.
Time cell proportions, as determined by R2B scores greater than 2, were independent of
learning state. We verified this observation using three other methods. First was the temporal
information metric (TI) outlined by Mau et al 2018. The second was the R2B score itself, as
opposed to the proportion of cells above a certain R2B score.
Using TI, we identified 4.8±0.451% and 2.59±0.331% (mean±SEM) of cells as time cells for the
stimulus and post-stimulus periods, respectively (Supplementary Figures 3 Ai and ii). Consistent
with the initial method, the correlation between the proportion of time cells and the animals'
behavioral scores remained nonsignificant.
Next we checked if an analog readout of the extent of time-locking might be a more sensitive
readout instead of a binary classification of time cells. T o do this we looked at their individual
R2B scores (Supplementary Figure 3 Bi-iv). This score reflects the extent of time-locking for
each cell. The more precise a cell’s firing with respect to a timepoint and the more trials a cell
fires in that time field, the higher is this score. Using this metric the dorsal-most CA1 were found
to be agnostic of the animal’s behavior performance, corroborating the result from the time cell
proportions.
As a final validation we checked the TI scores (and not just the binarized %) of the cells Mau et
al 2018. This metric showed the same result. The TI scores of cells did not correlate with the
increase of behaviour scores, indicating that time cell behaviour remained unchanged
throughout the learning process (Supplementary figure 3 Ci and ii).
These three parallel methods corroborate the initial observations, affirming the stable presence
and distribution of time cells across the learning stages, as determined by both direct
measurement and temporal information analysis (Main figure 3 Di-iv).
43
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