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			<titleStmt><title level='a'>Modulation of Neural Spiking in Motor Cortex–Cerebellar Networks during Sleep Spindles</title></titleStmt>
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				<publisher>The Society for Neuroscience</publisher>
				<date>05/01/2024</date>
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				<bibl> 
					<idno type="par_id">10574413</idno>
					<idno type="doi">10.1523/ENEURO.0150-23.2024</idno>
					<title level='j'>eneuro</title>
<idno>2373-2822</idno>
<biblScope unit="volume">11</biblScope>
<biblScope unit="issue">5</biblScope>					

					<author>Pierson Fleischer</author><author>Aamir Abbasi</author><author>Tanuj Gulati</author>
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			<abstract><ab><![CDATA[<p>Sleep spindles appear to play an important role in learning new motor skills. Motor skill learning engages several brain regions with two important areas being the motor cortex (M1) and the cerebellum (CB). However, the neurophysiological processes in these areas during sleep, especially how spindle oscillations affect local and cross-region spiking, are not fully understood. We recorded an activity from the M1 and cerebellar cortex in eight rats during spontaneous activity to investigate how sleep spindles in these regions are related to local spiking as well as cross-region spiking. We found that M1 firing was significantly changed during both M1 and CB spindles, and this spiking occurred at a preferred phase of the spindle. On average, M1 and CB neurons showed most spiking at the M1 or CB spindle peaks. These neurons also developed a preferential phase locking to local or cross-area spindles with the greatest phase-locking value at spindle peaks; however, this preferential phase locking was not significant for cerebellar neurons when compared with CB spindles. Additionally, we found that the percentage of task-modulated cells in the M1 and CB that fired with nonuniform spike phase distribution during M1/CB spindle peaks were greater in the rats that learned a reach-to-grasp motor task robustly. Finally, we found that spindle band LFP coherence (for M1 and CB LFPs) showed a positive correlation with success rate in the motor task. These findings support the idea that sleep spindles in both the M1 and CB recruit neurons that participate in the awake task to support motor memory consolidation.</p>]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>Introduction</head><p>Sleep-related neural processing is required for the consolidation of new motor skills <ref type="bibr">(Rasch and Born, 2013;</ref><ref type="bibr">Gulati et al., 2014</ref><ref type="bibr">Gulati et al., , 2017;;</ref><ref type="bibr">Ramanathan et al., 2015;</ref><ref type="bibr">Miyamoto et al., 2016;</ref><ref type="bibr">Latchoumane et al., 2017;</ref><ref type="bibr">Kim et al., 2019)</ref>. Sleep spindles, which are 10-16 Hz bursts of activity as detected in EEG signals and local field potentials (LFPs), are postulated to have a chief role in off-line processing in a variety of studies that span declarative memory tasks <ref type="bibr">(Gais et al., 2002;</ref><ref type="bibr">Clemens et al., 2005</ref><ref type="bibr">Clemens et al., , 2006) )</ref> to motor learning paradigms <ref type="bibr">(Walker et al., 2002;</ref><ref type="bibr">Fogel and Smith, 2006;</ref><ref type="bibr">Nishida and Walker, 2007;</ref><ref type="bibr">Barakat et al., 2011;</ref><ref type="bibr">Johnson et al., 2012;</ref><ref type="bibr">Ramanathan et al., 2015)</ref>. Conventionally, neocortical sleep spindles are believed to have a thalamocortical origin <ref type="bibr">(Steriade et al., 1993;</ref><ref type="bibr">Rasch and Born, 2013)</ref>; however, recent studies have indicated cerebellar involvement <ref type="bibr">(Xu et al., 2021</ref><ref type="bibr">(Xu et al., , 2022))</ref>. Our recent work has shown that the motor cortex (M1) and cerebellum (CB) develop an awake low-frequency coherence [low-frequency oscillatory (LFO) activity, 1-4 Hz] as rats learn a skilled reaching task <ref type="bibr">(Fleischer et al., 2023)</ref>. An intriguing possibility is that neural activity patterns in these two structures during "off-line" periods, or time away from training (such as sleep), contribute to corticocerebellar plasticity during skill learning. This possibility gains more credibility with the evidence that "reactivation" of awake training activity patterns during sleep promotes motor skill learning <ref type="bibr">(Gulati et al., 2014;</ref><ref type="bibr">Yang et al., 2014;</ref><ref type="bibr">Ramanathan et al., 2015;</ref><ref type="bibr">Cousins et al., 2016;</ref><ref type="bibr">Kim et al., 2019)</ref>. Moreover, sleep-dependent consolidation of motor skills engages both the M1 and CB <ref type="bibr">(Doyon and Benali, 2005;</ref><ref type="bibr">Canto et al., 2017;</ref><ref type="bibr">Doyon et al., 2018)</ref>. However, the specific neuronal activity patterns in these areas during local and cross-area spindlemediated interactions are not fully understood. Despite the extensive work that links sleep spindles to memory consolidation, relatively little is understood about the relationship between these oscillations and spiking activity in the larger motor network.</p><p>Temporally precise neural spiking is at the core of regulating changes in synaptic efficacy <ref type="bibr">(Hebb, 1949;</ref><ref type="bibr">Bi and Poo, 2001)</ref>. Phase-locked spiking of prefrontal cortex and M1 neurons to sleep spindles has been shown in prior work <ref type="bibr">(Peyrache et al., 2011;</ref><ref type="bibr">Gardner et al., 2013;</ref><ref type="bibr">Sela et al., 2016;</ref><ref type="bibr">Silversmith et al., 2020)</ref>. However, it is unknown what the spiking dynamics are around M1 spindles in a subcortical structure like the CB or vice versa-what happens to neocortical spiking during CB spindles. This is a crucial question as the M1 and the CB are densely, reciprocally connected <ref type="bibr">(Kelly and Strick, 2003;</ref><ref type="bibr">Guo et al., 2021)</ref>, and neocortical spindles have a cerebellar origin <ref type="bibr">(Xu et al., 2021)</ref>.</p><p>To this end, we simultaneously recorded LFPs and spiking activity from the M1 and cerebellar cortex of sleeping rats and examined the spike timing relative to ongoing spindles in both regions. We parsed spindles into their component cycles, which allowed us to analyze the spiking activity in detail during the evolution of spindles. This analysis revealed that M1 and cerebellar neurons significantly increase their spike rates during M1 and CB spindle peaks. M1 neurons also experienced significantly increased spindle-peak phase locking to M1 and CB spindles as compared with spindle tails. CB neurons experienced significantly increased phase locking to M1 spindles; however, this phenomenon was not seen for CB neurons with CB spindles. Additionally, we also observed a significantly greater number of M1 and CB neurons showing significantly nonuniform spike phase distribution during M1 and CB spindles in the rats that gained expertise in the dexterous reach-to-grasp motor skill versus the ones that did not. Finally, we also found that spindle band LFP coherence magnitude in M1 and CB LFPs was positively correlated with awake motor task success rate. Our work here expands our understanding of how spiking activity is changed during sleep spindles in the larger motor network that may be linked to skill learning.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Materials and Methods</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Animal model and surgical procedures</head><p>All procedures were conducted in accordance with protocols approved by the Institutional Animal Care and Use Committee at the Cedars-Sinai Medical Center. Adult male Long-Evans rats (n = 8; weight, 250-400 g; Charles River Laboratories) were housed in a 14 h/10 h light/dark cycle. All experiments were performed during the light cycle. No statistical methods were used to predetermine cohort size, but our sample sizes are similar to those reported in previous publications <ref type="bibr">(Kargo and Nitz, 2004;</ref><ref type="bibr">Ramanathan et al., 2015</ref><ref type="bibr">Ramanathan et al., , 2018;;</ref><ref type="bibr">Sauerbrei et al., 2015;</ref><ref type="bibr">Gulati et al., 2017;</ref><ref type="bibr">Lemke et al., 2019;</ref><ref type="bibr">Fleischer et al., 2023)</ref>. Animals were pair-housed before electrode implantation and then singlehoused after to prevent damage to implants or to implement food restriction.</p><p>All surgical procedures were performed using sterile techniques under 1-4% isoflurane. Surgery involved cleaning and exposure of the skull and preparation of the skull surface using adhesive cement (C &amp; B Metabond, Parkell) followed by implantation of the skull screws for referencing and overall head-stage stability. The analgesic regimen included the administration of 0.1 mg/kg body weight buprenorphine and 5 mg/kg body weight carprofen. Neural implanted rats were also administered 2 mg/ kg body weight dexamethasone and 33 mg/kg body weight Sulfatrim for 5 d. Postsurgery, animals were allowed to recover for 5 d before further behavioral training and sleep recordings. Ground and reference screws were implanted posterior to lambda, contralateral to the recorded CB and contralateral to the neural recordings. For M1 recordings, 32-channel arrays (33 &#956;m polyamide-coated tungsten microwire arrays) were lowered to a depth of 1,200-1,500 &#956;m in either the left or right M1 depending on handedness. These were implanted centered at 0.5 mm anterior and 3 mm lateral to the bregma <ref type="bibr">(Ramanathan et al., 2015;</ref><ref type="bibr">Lemke et al., 2019;</ref><ref type="bibr">Abbasi et al., 2021</ref><ref type="bibr">Abbasi et al., , 2024;;</ref><ref type="bibr">Fleischer et al., 2023)</ref>. For cerebellar recordings, we used 32-64-channel tetrodes (NeuroNexus) or shuttle-mounted polytrodes (Cambridge NeuroTech). The probes were lowered into the cerebellar cortex through a craniotomy centered at 12.5 mm posterior and 2.5-3 mm lateral to the bregma. Shuttle-mounted probes were moved across days and recorded from depths of 1.5-4 mm. Our target regions were the Simplex/Crus I and Crus II areas of the CB. Activity in these areas has shown modulation during upper limb motor behaviors (including our own recently published work) and in response to corticofugal fiber and forelimb stimulation <ref type="bibr">(Atkins and Apps, 1997;</ref><ref type="bibr">Baker et al., 2001;</ref><ref type="bibr">Heck et al., 2007;</ref><ref type="bibr">Fleischer et al., 2023)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Experimental design</head><p>Rats were acclimated to the behavioral box for at least 2 d and then exposed to a reach-to-grasp task for 5-10 trials to establish hand preference before neural probe implantation. Probe implantation was performed in the contralateral M1 and ipsilateral CB to the preferred hand. Thereafter, postrecovery rats underwent motor training and sleep recordings. Motor training involved training them on a reach-to-grasp motor task <ref type="bibr">(Fleischer et al., 2023)</ref>. During behavioral assessments, we monitored the animals and ensured that their body weights did not drop to &lt;90% of their initial weight. We used an automated reach box for motor training, controlled by custom MATLAB scripts and an Arduino board. This setup requires minimal user intervention, as described previously <ref type="bibr">(Wong et al., 2015)</ref>. Each trial consisted of a pellet dispensed on the pellet tray, followed by an alerting beep indicating that the trial was beginning. They then had 15 s to reach their arms through the slot to grasp and retrieve the pellet. A real-time "pellet detector" using an infrared sensor centered over the pellet was used to determine when the pellet was moved, which indicated that the trial was over, and the door was closed. The rats underwent sleep recordings in the same box. For the sleep sessions, the pellet presentations stopped, and a spontaneous recording period ensued during which we analyzed the sleep. Electrophysiology recordings were taken throughout the full extent of the behavioral training and sleep, which consisted of one to two reach sessions of 60-100 trials/d for 5 d, and sleep sessions of 1-2 h.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>In vivo electrophysiology</head><p>Units and LFP activity were recorded using a 128-channel TDT-RZ2 system (Tucker-Davis Technologies). Spike data were sampled at 24,414 Hz, and LFP data were sampled at 1,017.3 Hz. ZIF (zero insertion force) clip-based digital head stages from Tucker-Davis Technologies were used that interface the ZIF connector and the Intan RHD2000 chip that uses 192&#215; gain. We performed off-line spike sorting on the recorded spike data using Plexon (where spike times and waveform snippets were saved) or Spyking Circus <ref type="bibr">(Yger et al., 2018;</ref><ref type="bibr"/> where spike data were saved at 24,414 Hz). The average firing rate of M1 neurons was 1.71 &#177; 0.03 Hz and Cb units 6.48 &#177; 0.34 Hz.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Behavioral analysis</head><p>Behavioral analysis was performed using video recorded during experimental sessions. Reach videos were viewed and manually scored to obtain trial success. To characterize motor performance, we quantified pellet retrieval success rate (percentage of pellets successfully retrieved into the box). We classified animals as expert and nonexpert based on a success rate of at least 30% by Day 5. We used similar classification in our recent work, where we found that emergent low-frequency activity across corticocerebellar networks was restricted to animals that gained expertise in the task <ref type="bibr">(Fleischer et al., 2023)</ref>. Based on this classification, we found that four animals were experts and four animals did not achieve expertise in the task in 5 d of practice.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Sleep classification</head><p>Sleep was detected through M1 LFP recordings. Each LFP channel in M1 was segmented into nonoverlapping 6 s windows. In each window, the power spectral density (PSD) was computed and averaged over the delta/SO (0.1-4 Hz) and gamma (30-60 Hz) frequency bands <ref type="bibr">(Kim et al., 2019;</ref><ref type="bibr">Silversmith et al., 2020)</ref>. Then a k-means classifier was used to cluster epochs into two clusters, non-rapid eye movement (NREM) sleep and rapid eye movement sleep (REM) /awake. Only long (&gt;30 s, five consecutive windows) epochs of sleep were analyzed. Further analyses of both recorded areas used only the periods classified as non-REM sleep by this method.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Spindle detection</head><p>The spindle detection applied here is an algorithm that has been used recently <ref type="bibr">(Sela et al., 2016;</ref><ref type="bibr">Kim et al., 2019;</ref><ref type="bibr">Silversmith et al., 2020;</ref><ref type="bibr">Simpson et al., 2023)</ref> and was applied separately to M1 and CB LFPs. Channels without obvious artifacts were first z-scored and averaged to form a virtual LFP channel. This signal was filtered in the spindle band (10-16 Hz) using a zero-phase shifted, third-order Butterworth filter. A smoothed envelope was calculated by computing the magnitude of the Hilbert transform of this signal and then convolving it with a Gaussian window (&#945; = 2.5). Next, we determined two thresholds for spindle detection <ref type="bibr">(Kim et al., 2019;</ref><ref type="bibr">Silversmith et al., 2020)</ref> based on the mean and standard deviation of the spindle band envelope during NREM sleep (lower, 1.5 SD; upper, 2.5 SD). Epochs during non-REM sleep in which the spindle envelope exceeded the upper threshold for at least one sample and the spindle power exceeded the lower threshold for at least 500 ms were considered spindles (Fig. <ref type="figure">1C</ref>). Finally, spindles that were sufficiently close in time (&lt;300 ms) were combined. For each spindle epoch, the peak of the spindle band LFP was identified. Spindles were aligned to this peak for generating average spindle waveforms and spike raster plots.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Control spindle epochs</head><p>There is a certain degree of spiking, phase locking, and synchrony between neurons, which is expected even if neurons are not modulated by spindles. To account for such effects, we generated a control spindle distribution that had similar statistics to the true spindle epoch distribution. For each spindle epoch, two offsets were computed 5 and 10 s before the true spindle peak. The nearest maxima in the spindle band LFP to those offsets were taken as the spindle centers (also called spindle "peaks" henceforth) of the control epoch. Each analysis was jointly computed for the true spindle epochs (blue/teal) and the control spindle epochs (gray).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Spike phase extraction</head><p>The following methods for spike phase extraction were used to assess the spiking structure within a spindle cycle and across spindles. We performed this analysis only for reach-modulated neurons during awake trainings. This was defined as &#177;1.97 SD task-related (reach-related) modulation over baseline. For both analyses, we first computed the same virtual signal used in spindle detection and then filtered the data in the spindle band (10-16 Hz). Next, we applied the Hilbert transform and took the angle at each sample to get a continuous representation of the relative spindle phase. For each spindle epoch and each neuron, the corresponding phase was collected at each spike event.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Phase-locking value (PLV) and preferred spindle phase</head><p>We calculated the PLV as follows in order to assess the degree of phase consistency of spiking within spindle cycles. For a given neuron, across all spindle epochs, the phase of the spindle band LFP signal was collected at each detected action potential within a given cycle yielding a distribution of spike phases. Each phase value in this distribution was treated as a vector of magnitude one and angle equal to the phase:</p><p>The average phase vector was computed according to the above equation (Fig. <ref type="figure">3</ref>, green arrow). From this vector, we attained the PLV (vector magnitude) and the preferred spindle phase (vector angle). We calculated these measures for each neuron and each spindle cycle using the functions circ_r() and circ_mean(), respectively (from MATLAB's circular statistics toolbox). Linear mixed-effects models were used to test the significance of changes in the firing rate and PLV. Watson-Williams test of equal means was used to test the significance of differences in the preferred phase.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Nonuniformity z-statistic and CDF</head><p>The PLV is closely related to Raleigh's z-statistic for circular nonuniformity. z-statistic is simply calculated as z = n(PLV) 2 . These z-statistics were then used to calculate the percentage of significantly nonuniform distributions across unit-LFP pairs with a significance threshold of p = 0.05. A significantly nonuniform distribution signifies phase preference for spikes of a unit to the spindle band of the LFP signal. For this analysis, we also compared the z-statistic of spiking over peak cycles of the cohort of experts to that of the nonexperts.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Spindle band M1 and CB LFP coherence analysis</head><p>We measured LFP coherence during NREM sleep across all M1 and CB electrode pairs. First, we subtracted the common-mode referencing signal from M1 and CB LFPs using the median LFP signal from each region. At every timepoint, the median of all the LFP in M1 and CB was calculated and subtracted from every electrode in that region, respectively, in order to reduce common noise and volume conduction. We then computed LFP coherence between pairs of M1 and CB LFP channels during NREM sleep in nonoverlapping 10 s windows using the cohgramc function of the Chronux toolbox in MATLAB. By doing so, we got coherograms for every pair of M1 and CB electrode. We computed the spindle band coherence by taking the average of coherence in 10-16 Hz frequency range.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Data availability</head><p>The datasets generated and analyzed in the current study are available from the corresponding author on reasonable request.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Results</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Neural oscillation detection</head><p>We recorded extracellular LFP and spiking activity from the M1 and CB in eight rats that were trained on the reaching task interspersed with sleep for 5 d. Out of these eight rats, the four that achieved over 30% accuracy by Day 5 of training were classified as experts (D5 success rate, 49.46 &#177; 5.8%; mean &#177; SEM), and the other four were classified as nonexperts as their final success rate was under 30% on Day 5 (D5, 17.59 &#177; 2.33%; see Materials and Methods). Nonexpert animals were excluded from all the analyses presented here unless expressly stated otherwise. During "sleep blocks," the animals were given the opportunity to sleep for &#8764;2 h. On average, NREM sleep was analyzed for 77.03 &#177; 5.4 min per day for expert animals and 100.76 &#177; 5.3 min per day for nonexpert animals (as detected through M1 LFPs; Fig. <ref type="figure">1B</ref>; see Materials and Methods). During NREM sleep, we identified ongoing spindles in the M1 (&#8764;3,389 per expert and &#8764;4,561 per nonexpert across 5 d) and CB (&#8764;2,512 per expert and &#8764;4,860 per nonexpert across 5 d) using standard algorithms for automatic detection <ref type="bibr">(Sela et al., 2016;</ref><ref type="bibr">Kim et al., 2019;</ref><ref type="bibr">Silversmith et al., 2020)</ref>. Briefly, LFP channels were z-scored to standardize activity levels. The averaged signal was filtered in the spindle band (10-16 Hz). Periods in which spindle power exceeded an upper threshold for at least one sample or data point and a lower threshold for at least 500 ms were identified as spindles (see Materials and Methods; see Fig. <ref type="figure">1C</ref>,D for M1 and cerebellar spindle example, respectively). We also looked at the spindle-triggered spectrogram of LFP in the M1 (Fig. <ref type="figure">1E</ref>) and CB (Fig. <ref type="figure">1F</ref>) which revealed an increase in power in the spindle-specific frequency band.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Spindles properties in the M1 and CB</head><p>We looked at the features of spindles in the M1 and CB in terms of rate and duration. We found that the average rate of spindles in the M1 was significantly higher than the CB [Fig. <ref type="figure">2A</ref>; M1, 9.58 &#177; 0.05 spindles min -1 ; CB, 8.16 &#177; 0.06 spindles min -1 ; mixed-effects model, t (4,648) = -14.69; p = 7.822 &#215; 10 -48 ]. We also found that the spindle duration in the M1 was significantly longer than the CB [Fig. <ref type="figure">2B</ref>; M1, 1.10 &#177; 0.001 s; CB, 0.97 &#177; 0.002 s; mixed-effects model, t (4,648) = -47.13; p = 0). We also characterized the temporal relationship between the M1 and cerebellar spindles by looking at the time lag distribution of the spindle onset (Fig. <ref type="figure">2C</ref>) which showed that there was a preponderance of cerebellar spindles leading M1 spindles with the median lag of -0.06 s. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>M1 and cerebellar spindle-associated spiking modulated by motor skill learning</head><p>Recent work has shown that sleep spindles modulate awake practice/training activity in the healthy M1 as well as during stroke recovery <ref type="bibr">(Kim et al., 2019</ref><ref type="bibr">(Kim et al., , 2022;;</ref><ref type="bibr">Silversmith et al., 2020;</ref><ref type="bibr">Lemke et al., 2021)</ref>. We performed similar analyses on our dataset to look at the activity of M1 and CB units during spindles identified in the M1 and CB. To observe spindle-neuron interactions, we aligned spike rasters of M1 and CB units to the peak of identified, respectively determined local spindles. The average oscillatory firing rate of M1 neurons closely matched (with a phase shift) the average spindle waveform of M1 spindles and CB spindles (Fig. <ref type="figure">3A</ref> shows an example M1 unit spiking around M1 spindles; Fig. <ref type="figure">3B</ref> shows the same M1 unit spiking around CB spindles). CB units' firing also increased around the peak of CB and M1 spindles and followed the oscillations of the CB/M1 spindle waveform in a subset of neurons (Fig. <ref type="figure">3C</ref> shows an example CB unit spiking around M1 spindles; Fig. <ref type="figure">3D</ref> shows the same CB unit whose firing rate tracked the waveform of CB spindles without a phase shift).</p><p>To quantify this, we extracted the spindle phase at each recorded action potential. To compute the spindle phase, we calculated the angle of the Hilbert-transformed, spindle band LFP. Then we collected the phase triggered on each spike occurring within one cycle of the spindle peak. This yielded a spike phase distribution (Fig. <ref type="figure">bottom</ref>), which was used to calculate the degree of phase locking for each single unit. Briefly, each spike-triggered phase was converted to a vector of unit magnitude and in the direction of the triggered phase. Then the average vector was computed, and the magnitude of this vector was taken as the PLV, while the direction of this vector was taken as the preferred spindle phase. The polar histograms in Figure <ref type="figure">3</ref> depict preferred phases and PLVs for three units in the two cycles around the spindle peak <ref type="bibr">([-2&#960;, +2&#960;]</ref>) and two cycles on the either spindle tail (i.e., <ref type="bibr">[-10&#960;, -8&#960;</ref>] and [+8&#960;, +10&#960;]). These are shown in a green line on top of the polar histogram (Fig. <ref type="figure">3A-D</ref>, <ref type="figure">bottom</ref>). When we compared the PLV of all the neurons aligned to their respective spindles, we found that M1 spiking aligned to M1 spindles shows a greater increase in PLV around the spindle peak than the tail (Fig. <ref type="figure">3E</ref>) and M1 spiking aligned to CB spindles (Fig. <ref type="figure">3F</ref>). Similarly at the population level, cerebellar spiking aligned to M1 spindles shows an increase in PLV at the peak versus the tail (Fig. <ref type="figure">3G</ref>); however, cerebellar spiking aligned to CB spindles showed a nonsignificant change in PLV at the peak versus the tail (see Fig. <ref type="figure">3H</ref> and more details in Fig. <ref type="figure">4F</ref>). The stronger phase locking of M1 and CB spiking during M1 spindles suggests that M1 spindles are more robustly modulating spiking activity of both these regions than CB spindles.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Single-unit phase locking around M1 and CB spindles</head><p>In addition to increasing spiking, phase locking to ongoing oscillations is also linked to long-term potentiation <ref type="bibr">(Rutishauser et al., 2010)</ref>. Our next analysis focused on the detailed phase-locking analysis of several cycles within a spindle for both M1 and CB spindles, as was recently done for M1 spiking and M1 spindles <ref type="bibr">(Silversmith et al., 2020)</ref>. Calculating meaningful population means and significance tests of the preferred phase and PLVs requires the neural population to have a nonuniform distribution of the preferred phases. The population of M1 units had nonuniform phase distribution with respect to M1 and CB spindles. CB unit population had nonuniform preferences with respect to M1 spindles but uniform preferences with CB spindles (Fig. <ref type="figure">4</ref>).</p><p>To analyze unit modulation at various cycles within a spindle, a spindle was segmented into 10 cycles (Fig. <ref type="figure">4A</ref>,<ref type="figure">B</ref>). We also looked at same unit's modulation during control epochs, which were also divided into component cycles and yielded a spike phase distribution for each cycle, as done in recent work <ref type="bibr">(Silversmith et al., 2020</ref>; also see Materials and Methods). The spiking dynamics for M1 and CB units were quantified by grouping LFP cycles into three categories: (1) control, the two cycles at the center of the control epochs; (2) tail, the two cycles farthest from the spindle peaks; and (3) peak, the two cycles nearest the spindle peaks (Fig. <ref type="figure">4C-F</ref>). Linear mixed-effects model confirmed that spike counts were significantly increased near the peak of spindles [peak vs tail, M1 spikes to M1 spindles, t (5,086) = 8.68, p = 5.251 &#215; 10 -18 ; M1 spikes to CB spindles, t (5,086) = 8.63, p = 7.173 &#215; 10 -18 ; CB spikes to M1 spindles, t (910) = 3.40, p = 6.752 &#215; 10 -4 ; CB spikes to CB spindles, t (910) = 2.89, p = 0.003]; spike counts were also significantly higher at the spindle peaks relative to during control epochs [peak vs control, M1 spikes to M1 spindles, t (7,982) = -16.86, p = 1.577 &#215; 10 -63 ; M1 spikes to CB spindles, t (7,982) = -5.17, p = 2.297 &#215; 10 -7 ; CB spikes to M1 spindles, t (5,014) = -15.49, p = 6.012 &#215; 10 -54 ; CB spikes to CB spindles, t (5,014) = -4.96, p = 7.099 &#215; 10 -7 ]. M1 units' preferred M1 and CB spindle cycle phases (as determined by the Watson-Williams test for equal means) did not change between peak, tail, and control epochs (although one test showed a significant difference in the preferred phase between peak vs control for M1 spikes and CB spindles and CB spikes and M1 spindles; this phase difference was &lt;0.01&#960;; Fig. <ref type="figure">4D</ref>,<ref type="figure">E</ref>). Like spike count, phase locking also increased near spindle peaks except for CB spikes aligned to CB spindles [peak vs tail, M1 spikes to M1 spindles, t (5,086) = 8.68, p = 0; M1 spikes to CB spindles, t (5,086) = 55.29 p = 0; CB spikes to M1 spindles, t (910) = 4.72 p = 2.488 &#215; 10 -6 ; CB spikes to CB spindles, t (910) = 0.64, p = 0.52]. PLV was also significantly larger around spindle peak than control epochs even five cycles away for every pair except for CB spikes aligned to CB spindles [peak vs control, M1 spikes to M1 spindles, t (7,982) = -106.89, p = 0; M1 spikes to CB spindles, t (7,982) = -8.19, p = 2.971 &#215; 10 -16 ; CB spikes to M1 spindles, t (5,014) = -2.07, p = 0.03; CB spikes to CB spindles, t (5,014) = -1.37, p = 0.16].</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Percentage of M1 and CB units with nonuniform spike phase distributions around spindles in expert versus nonexpert learners</head><p>PLV is directly related to the z-statistic of the Raleigh's test for circular nonuniformity with z = n(PLV) 2 . We took a closer look at the ratio of neurons with a significant phase preference (i.e., p-value of the z-statistic &lt;0.05). We found a higher number of units with nonuniform spike phase distributions at the spindle peaks in expert learners versus nonexpert  <ref type="bibr">[-2&#960;, 2&#960;]</ref>) and tails (blue, <ref type="bibr">[-10&#960;, -8&#960;</ref>] and [8&#960;, 10&#960;]). The average phase vector is overlayed in green. The magnitude and direction of this vector are defined as the PLV and preferred spindle phase, respectively. This was collected for all units. B, Same as A but for the same M1 unit and its modulation around CB spindle. Conventions are the same. C, Same as A but for CB unit and its modulation around M1 spindle. Conventions are the same. D, Same as A but for the same CB unit and its modulation around CB spindle. Conventions are the same. E, Distribution of PLV for all M1 unit-M1 spindle pairs around the spindle peak (purple) and tail (blue) from expert animals (n = 4). F, Same as E but for M1 unit-CB spindle pairs. G, Same as E but for CB unit-M1 spindle pairs. H, Same as E but for CB unit-CB spindles pairs. learners [Fig. <ref type="figure">5</ref>; M1 spikes to M1 spindles, peak experts, 96.1%; peak nonexperts, 55.8% (% indicates the percentage of units with significant nonuniform spike phase distribution around spindle peaks); M1 spikes to CB spindles, peak experts: 29.8%, peak nonexperts: 10.8%; CB spikes to M1 spindles, peak experts: 59.8%, peak nonexperts: 39.1%; CB spikes to CB spindles, peak experts: 26.2%, peak nonexperts: 13.0%].</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Distribution of PLV between expert and nonexpert learners</head><p>Next, we wanted to compare the PLV in the expert versus nonexpert animals. We found higher PLV in expert when compared with nonexpert learners across all pairs except for M1 spikes and CB spindles [Fig. <ref type="figure">6</ref>; M1 spikes to M1 spindles: expert learners 0.29 &#177; 0.002, nonexpert learners 0.27 &#177; 0.003, t (3,719) = -1.43, p = 0.15; M1 spikes to CB spindles: expert learners 0.14 &#177; 0.001, nonexpert learners 0.18 &#177; 0.003, t (4,398) = 2.08, p = 0.03; CB spikes to M1 spindles: expert learners 0.13 &#177; 0.007, nonexpert learners 0.04 &#177; 0.003, t (973) = -8.83, p = 4.661 &#215; 10 -18 ; CB spikes to CB spindles: expert learners 0.14 &#177; 0.01, nonexpert learners 0.02 &#177; 0.001, t (745) = -2.31, p = 0.02]. Thus, interestingly, while we observed that a higher number of expert learners' units had significantly nonuniform spike phase distribution for M1 unit-CB spindle (Fig. <ref type="figure">5B</ref>), their averaged PLV was less than that of nonexpert learners (Fig. <ref type="figure">6B</ref>).  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Increase in spindle band LFP coherence is correlated with motor learning</head><p>Our recent work with the same animals showed that awake low-frequency coherent activity (LFOs, 1-4 Hz) in M1 and CB LFPs did not increase in nonexpert animals with learning <ref type="bibr">(Fleischer et al., 2023)</ref>. We wanted to see if spindle band coherence in M1-CB LFPs during sleep was linked to eventual skill consolidation or "expertise" level. Hence, we looked at the relationship between M1 and CB spindle band (10-16 Hz) LFP coherence magnitude with learning. Interestingly, we found that high 10-16 Hz coherence in M1-CB LFPs during sleep showed a positive correlation with success rate in awake training (Fig. <ref type="figure">7</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Discussion</head><p>In this study, we investigated the relationship between M1 and CB neural firing and LFP spindle oscillations during sleep. We focused on the structure of neural spiking during the component cycles of both M1 and CB spindles (i.e., peak cycles and tail cycles). Spindles are thought to be important for promoting neural plasticity after learning a new skill <ref type="bibr">(Fogel and Smith, 2006;</ref><ref type="bibr">Nishida and Walker, 2007;</ref><ref type="bibr">Barakat et al., 2011;</ref><ref type="bibr">Johnson et al., 2012;</ref><ref type="bibr">Ramanathan et al., 2015;</ref><ref type="bibr">Kim et al., 2019;</ref><ref type="bibr">Silversmith et al., 2020;</ref><ref type="bibr">Lemke et al., 2021)</ref>. We found that M1 units fired at a preferred phase of M1 and CB spindles and CB units fired to a preferred phase of M1 spindle but not the CB spindles <ref type="bibr">(Figs. 3,</ref><ref type="bibr">4)</ref>. Both M1 and CB neurons, however, did have elevated spike rate at M1/CB spindle peaks. Notably, the animals that gained expertise in a skilled reaching task had higher numbers of neurons in the M1 and CB that developed a nonuniform spike phase distribution to M1 or CB spindle peaks (Fig. <ref type="figure">5</ref>). Finally, we found that spindle band LFP coherence in M1 and CB LFPs during sleep was positively correlated to the awake reach-to-grasp task success rate (Fig. <ref type="figure">7</ref>). These findings support the idea that sleep spindles in both corticocerebellar networks modulate neurons that participate in the awake task to support motor memory consolidation.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Spindle modulation of spiking and plasticity</head><p>One of the key findings from our work is that there were selective changes in the degree of phase locking of M1 spiking across spindle cycle peaks of M1 and CB spindles and CB spiking across M1 spindle peaks (Fig. <ref type="figure">4</ref>). While we found that spike timing in the M1 became significantly more coupled to the structure of M1 and CB spindles, leading to maximum changes at the spindle peaks (Fig. <ref type="figure">4C</ref>,D, right), CB spiking did not develop a phase preference relative to CB spindle peaks, but rather to M1 spindle peaks (Fig. <ref type="figure">4E</ref>,F, right) in the rats that learned reach-to-grasp motor task expertly. This was surprising as we saw greater spikes per cycle for CB units at CB spindle peak cycles (Fig. <ref type="figure">4F</ref>, left). Previous work has shown that neocortical neurons also display increased correlated discharge around neocortical spindle peaks <ref type="bibr">(Silversmith et al., 2020)</ref>. Additionally, there is evidence that sleep spindles mediate corticostriatal coupling with increased correlated spiking of M1 and striatal neurons <ref type="bibr">(Lemke et al., 2021)</ref>, and such spike correlations are thought to drive neuroplasticity <ref type="bibr">(Hebb, 1949)</ref>. Spike time-dependent plasticity models <ref type="bibr">(Bi and Poo, 1998;</ref><ref type="bibr">Shulz and Jacob, 2010;</ref><ref type="bibr">Feldman, 2012)</ref> emphasize the role of precise spike timing in neuroplasticity. While the experimental studies cited above showed increased correlated spiking during a spindle within local pairs of M1 neurons or monosynaptically connected M1-striatal neurons, we report increased spike rates of M1 and CB neurons during local or cross-area spindle peaks (Fig. <ref type="figure">4C-F</ref>). Notably, these neurons were also modulated during awake reach-to-grasp task training. The areas we recorded from (i.e., M1 layer IV/V) and the cerebellar cortex (Simplex, Crus I, and Crus II) are not connected monosynaptically but primarily through the corticopontocerebellar pathway <ref type="bibr">(Guo et al., 2021)</ref>. It may be possible that the increased spike rates of M1 and CB neurons observed at spindle peaks serve to strengthen their monosynaptic connections within this pathway. This may facilitate a general increase in local functional connectivity which subserves the reaching skill.</p><p>It is important to note that in this work, we measured the modulation of M1 and CB units during local and cross-area spindle cycles. One possibility is that the increased firing at spindle peaks (Figs. <ref type="figure">3</ref>, <ref type="figure">4</ref>) reflect changes in the synaptic strength of neurons that are a part of the corticopontocerebellar pathway. We previously found increased awake lowfrequency LFP coherence between the M1 and CB (LFOs, 1-4 Hz) that also modulated M1 and cerebellar spiking in rats that gained expertise in the reach-to-grasp task <ref type="bibr">(Fleischer et al., 2023)</ref>. This likely indicated that cortical inputs to and/or from the CB were strengthened with motor training, which is consistent with other works that have looked at emergent activity in corticocerebellar networks with motor training <ref type="bibr">(Wagner et al., 2019;</ref><ref type="bibr">Wagner and Luo, 2020</ref>). An alternative possibility is that inputs to both the M1 and CB during spindles drove these spike modulations. Our comparison on M1 and CB spindle onset lags shows that there were spindles that occurred in close temporal proximity in these regions (Fig. <ref type="figure">2C</ref>), and recent studies have shown that neocortical spindles have a cerebellar origin <ref type="bibr">(Xu et al., 2021)</ref>. We believe that our results are most consistent with increased synaptic strength in M1 to CB connectivity during NREM, as we observed increased LFP coherence during awake task performance in these same rats (the ones that learned the task well).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Skill learning in corticocerebellar networks</head><p>Here we show that the spiking activity of M1 and cerebellar neurons is heightened during spindle peaks in either region and that there are a higher number of M1 and CB neurons with nonuniform spike-LFP phase distribution to spindle peaks in rats that achieved expertise in skilled reaching. We make these observations, building on our recent dataset where we found increased coordination of awake M1 and cerebellar activity with skill acquisition <ref type="bibr">(Fleischer et al., 2023)</ref>. Increased communication in the M1 and CB has been noticed in other works as well which is essential to stable skilled behavior <ref type="bibr">(Wagner et al., 2019;</ref><ref type="bibr">Guo et al., 2021)</ref>. We have found that nonexpert animals do not develop awake M1-CB coordination, that is, the low-frequency (1-4 Hz) coherence <ref type="bibr">(Fleischer et al., 2023)</ref>, and these animals also show reduced number of neurons with nonuniform spike phase distribution to M1/CB spindle peak cycles (Fig. <ref type="figure">5</ref>). These observations are consistent with a range of other studies that show that coordinated sleep activity benefits consistency in motor tasks in humans <ref type="bibr">(Fischer et al., 2002;</ref><ref type="bibr">Walker et al., 2002)</ref> and rodents <ref type="bibr">(Gulati et al., 2014;</ref><ref type="bibr">Ramanathan et al., 2015;</ref><ref type="bibr">Nagai et al., 2017)</ref>.</p><p>While the directionality in our M1-CB recordings may be preconceived to be predominantly from M1 to CB via the pons <ref type="bibr">(Kelly and Strick, 2003)</ref>, they are heavily reciprocally connected <ref type="bibr">(Heck et al., 2013)</ref>. While evidence exists for coordination in these regions with skill learning <ref type="bibr">(Wagner et al., 2019;</ref><ref type="bibr">Fleischer et al., 2023)</ref>, this directionality comes into conflict with recent studies postulating sleep spindles to have a cerebellar origin <ref type="bibr">(Xu et al., 2021)</ref>. Our analysis of lags shows that some CB spindle onset precedes M1 spindle onset, but there are CB spindles that followed M1 spindles (Fig. <ref type="figure">2C</ref>). It is important to note that in the M1-CB reciprocal loop, deep nuclei in the CB are the major outflow node from the CB back to the cortex via the motor thalamus. Studies have shown that cerebellar deep nuclei activity can control forelimb deceleration during reaching task <ref type="bibr">(Becker and Person, 2019)</ref> and that thalamic input is essential for reliable cortical neural dynamics <ref type="bibr">(Sauerbrei et al., 2020)</ref>. Hence, within the CB resides a cause of M1 activation as well as its consequence. Interestingly, in our awake recordings, we found that cerebellar neurons phase-locked more with M1 emergent low-LFO activity <ref type="bibr">(Fleischer et al., 2023)</ref>, and this trend was preserved during sleep, where CB neurons showed enhanced phase locking to M1 spindle peaks (and not to CB spindle peaks) in expert rats (Fig. <ref type="figure">4E</ref>,<ref type="figure">F</ref>). It is possible that during sleep spindles, the communication from the M1 to CB is preserved, and it is also possible that this direction of communication evolves with learning, wherein during initial phases, cortical input to the CB is important and with well-learned, stable movement, cerebellar feedback to M1 becomes critical. Future work will be needed to determine if sleep facilitates changes in the direction of communication between the M1 and CB.</p><p>In conclusion, our results demonstrate that neural activity in the M1 and CB is modulated during local and cross-area spindles very precisely at spindle peaks with M1 activity also developing a preferred phase to each area's spindle peak cycle and CB activity developing this preference only to M1 spindle peak. Furthermore, we found a higher number of neurons that developed a nonuniform spike phase distribution to spindle peaks in animals that gain expertise in the skilled motor task. These findings help build a framework to study the relationship between changes in precisely structured spiking activity during local and cross-region spindles. Our work also suggests an off-line neural processing mechanism that may drive synaptic plasticity associated with motor learning in the larger corticocerebellar network.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>May 2024, 11(5). DOI: https://doi.org/10.1523/ENEURO.0150-23.2024. 1 of 13</p></note>
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