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1

Spike Sorting and Waveform Analysis Protocol

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Raw neural signals were band pass filtered at 250 Hz – 3 kHz using a 1st order Butterworth filter in MATLAB (MathWorks, Natick, MA). Even though, recent work has shown that there is valuable information in high frequency signals (RaviPrakash et al., 2021 (link)), band-pass filtering, as the one used herein, has been a commonly used technique for spike sorting (Quiroga, 2012 (link)). Spike sorting analysis was performed using Offline Sorter (V3, Plexon Inc. Dallas, TX). High amplitude artifacts (>90% peak amplitude) simultaneously occurring across multiple channels were invalidated. For spike detection, a threshold of four times the noise level σN (Equation 1) was used.
An automatic K-means clustering algorithm (Offline Sorter K-Means Scan) was applied to the principal component domain to sort single units (Figure 1B; Plexon Offline Sorter Manual, n.d. ). Sorted units were visually inspected for each channel by a blinded evaluator. The signal-to-noise ratio was calculated for each channel by dividing the peak-to-peak amplitude over two times the noise level (Equation 2).
Only spike waveforms that passed the evaluator’s visual inspection and had more than 200 single units were considered for analysis. Waveform amplitudes (Figure 3A) were extracted using NeuroExplorer (V4, Nex Technologies, CO) by calculating the average amplitude of all spikes.
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2

Single-Unit Recordings in Primate Hippocampus

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Once monkeys were trained on the task, MRI-designed, custom-fit circular HDPE plastic recording chambers (Rogue Research) were cemented to their skulls with acrylic perpendicular to the horizontal plane in stereotaxic coordinates and dorsal to their right hippocampi (chamber outlines are shown in SI Appendix, Fig. S5). Single-unit recordings were performed by lowering glass-insulated electrodes (∼1-MΩ impedance; Alpha Omega) or glass-insulated tetrodes (∼0.5-MΩ impedance for all four shafts; Thomas Recording) via a hydraulic (Kopf Instruments) microdrive through 23-gauge metal guide tubes that reached from the chamber grid to ∼10–15 mm dorsal to hippocampus. Guide tubes were placed at new locations at the beginning of each week and removed at the end of the week after multiple sessions of recording. Neural signals were acquired, filtered, amplified 1,000 times, and digitized via the MAP Data Acquisition System (Plexon) at 40,000 kHz resolution. Single unit waveforms were sorted manually using a combination of offline sorter (Plexon) and automatic clustering [Wave_Clus (Quiroga, Nadasdy, & Ben-Shaul, 2004 (link))], with all clusters from the latter checked manually in offline sorter.
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3

Multimodal Neural Activity Recordings in Mice

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Mice were connected with one optical fiber and a flexible cable for EEG/EMG/multiunit activity, and recordings were made in the home cage placed in a sound-attenuation box (68 cm × 62 cm × 74 cm). The stereotrode assembly was moved forward 100 µm in the BF 10 min before each recording. Each recording was started after the mouse fell asleep and lasted for ~1 h.
The EEG/EMG signals and the extracellular signals were recorded using TDT system-3 amplifiers (RZ5 + RA16PA or RZ2 + PZ5). The extracellular signals were filtered at 0.3–8 kHz and sampled at 25 kHz for offline spike detection. Multiunit spiking signals were extracted from the raw data using Offline Sorter (Plexon), and z-score transformed for further analysis.
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4

Offline Unit Sorting and Analysis

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Waveforms were digitized (40 kHz) through an OmniPlex data acquisition system (Plexon, Dallas, TX), and sorted as units offline with Offline Sorter (Plexon), using dual thresholds and principal component analyses. We generated autocorrelograms with Neuroexplorer software (Plexon) to confirm that we obtained recordings from single units. We exported time stamps of well-isolated units, stimulus triggers and waveforms to Matlab (MathWorks) for analyses using our library of custom-written algorithms. Significant responses were defined as bins in which activity is significantly greater (99% confidence interval) than the mean baseline-firing rate.
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5

Extracellular Recording of Retinal Ganglion Cells

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Unit extracellular recordings were performed from RGCs with carbon microelectrodes (1MΩ; Kation Scientific LCC Minneapolis, MN, USA) attached to an AC differential amplifier (DAM80i, World Precision Instruments) and digitized with an analog-to-digital board (Digidata 1440a; Axon Instruments, Sunnyvale, CA, USA). RGC action potentials were recorded with Axoscope (Axon Instruments, Foster City, CA) with a sampling rate of 20 kHz. In some experiments, multielectrode extracellular electrophysiology was also performed by utilizing either a 60 or a 120 channel MEA system (Multichannel Systems Gmbh, Germany) that allowed for recording simultaneously from many RGCs. Analyses were performed offline using Spike 2 (Cambridge Electronics Design Ltd., Cambridge, UK), Off-line Sorter (Plexon, Dallas, TX) and NeuroExplorer 5 (Nex Technologies, Littleton, MA) softwares. Histograms and graphs were generated in Origin2018 (OriginLab, Northampton, MA, USA). Collected spikes were timestamped (bin size 10 ms) to generate peristimulus-time histograms (PSTH; NeuroExplorer 5, Nex Technologies, Littleton, MA). PSTHs then served to obtain response peak positions and delays. Response fadeout time (PSTHτ) and trial-to-trial variability were calculated in Microsoft© Office Excel, further data- and statistical analyses were performed in Origin 2018 (OriginLab, Northampton, MA, USA).
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6

Multielectrode Array Spike Sorting Protocol

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We simultaneously recorded the spiking activity from many single neurons isolated from the 96-channel multielectrode array using a Cerebus Neural Signal Processor (Blackrock Microsystems). A block of 32 channels could be recorded simultaneously over the course of a session. The raw signal was bandpass filtered (0.3 Hz to 7.5 kHz) and digitized (16 bit) at 30,000 samples/s. For each channel, spikes were detected every time the digitally high-pass filtered (250 Hz/4-pole) voltage trace crossed a threshold equivalent to approximately four times the root mean square of the noise amplitude. The extracted spikes and associated waveforms were sorted offline using both manual and semi-automatic techniques (Offline sorter, Plexon Inc.). Monkey “F” completed 27 recording sessions with a mean (STD) of 47.89 (6.67) simultaneously recorded neurons. Monkey “JL” completed 28 recording sessions with a mean of 51.89 (3.67) simultaneously recorded neurons.
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7

Acute Neural Recordings in Rat M1

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All experiments were done in accordance with the Animal Care and Use Committee at the University of California, Berkeley, and the National Institutes of Health guidelines. One male Long-Evans rat was acutely implanted unilaterally in M1 with the carbon fiber array under anesthesia. The subject was anesthetized with isoflurane gas throughout the procedure and given dexamethasone approximately 30 min before performing the craniotomy. Single-and multi-unit activity, and local field potentials, were simultaneously recorded with a Plexon MAP. Unit activity was sampled at a rate of 40 kHz. Activity was sorted online and sorting templates were further refined using offline sorting software (OfflineSorter, Plexon Inc., Dallas TX). Post-hoc analysis of neural data was performed using custom written software (Python).
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8

Cluster Analysis of Single-Unit Neuron Data

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Single-units were considered for analysis if clusters met two sorting quality statistical parameters: (a) multivariate analysis of variance (MANOVA; probability threshold for significance was set to P < 0.01), which indicated that each cluster was positioned at a statistically different feature space location at any given feature space; and (b) the non-parametric J3 statistic, which measured the ratio of between-cluster to within-cluster scatter. These cluster statistics were examined using Offline Sorter (Plexon Inc.). To avoid duplicates across channels, auto-correlograms and cross-correlograms of simultaneously recorded units were inspected using Neuroexplorer (NEX Technologies).
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9

Cluster Analysis of Single-Unit Neuron Data

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Single-units were considered for analysis if clusters met two sorting quality statistical parameters: (a) multivariate analysis of variance (MANOVA; probability threshold for significance was set to P < 0.01), which indicated that each cluster was positioned at a statistically different feature space location at any given feature space; and (b) the non-parametric J3 statistic, which measured the ratio of between-cluster to within-cluster scatter. These cluster statistics were examined using Offline Sorter (Plexon Inc.). To avoid duplicates across channels, auto-correlograms and cross-correlograms of simultaneously recorded units were inspected using Neuroexplorer (NEX Technologies).
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10

Offline Spike Sorting from Electrode Data

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Raw data was digitally filtered with a 125-Hz high pass filter (four-pole Butterworth) sorting spike events. A threshold of 6SD was set for each channel and 1 ms of data before and 4 ms after a threshold-crossing event were stored for each negative-slope event. These candidate spike waveforms were then sorted with Offline Sorter (Plexon, Denton, TX) using the first three principal components of the spike waveforms. Coincident events within 0.5 ms of each other that occurred on all electrodes were attributed to perfusion noise and removed. Clusters were first identified using an EM cluster algorithm by Shoham et al. [37 (link)] then manually edited for clustering errors. Typically, the activity of one to three cells was recorded by each electrode.
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