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Comparison of repeating spike sequences in a parallel spike train, recorded during wheel running, with its shuffled surrogates. a, Peaks of oscillation were taken as a reference point, and the spike timing was converted to phase values within the cycle. During shuffling, sets of spikes within a given cycle were transposed randomly (arrows). b, Phase-normalized spike density histograms during the cycle are shown. c, Cross-correlogram between the negative peaks of local and unit discharges is shown. d, Spike autocorrelograms of units are shown. Note the similar spike dynamics in the original and shuffled spike trains. e, Repetition curves of spike sequences in the original spike train and in its shuffled surrogates are shown.

Comparison of repeating spike sequences in a parallel spike train, recorded during wheel running, with its shuffled surrogates. a, Peaks of oscillation were taken as a reference point, and the spike timing was converted to phase values within the cycle. During shuffling, sets of spikes within a given cycle were transposed randomly (arrows). b, Phase-normalized spike density histograms during the cycle are shown. c, Cross-correlogram between the negative peaks of local and unit discharges is shown. d, Spike autocorrelograms of units are shown. Note the similar spike dynamics in the original and shuffled spike trains. e, Repetition curves of spike sequences in the original spike train and in its shuffled surrogates are shown.

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Information in neuronal networks may be represented by the spatiotemporal patterns of spikes. Here we examined the temporal coordination of pyramidal cell spikes in the rat hippocampus during slow-wave sleep. In addition, rats were trained to run in a defined position in space (running wheel) to activate a selected group of pyramidal cells. A templ...

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... shuffling. This procedure preserved the periodic mod- ulation of discharge frequency both within and across the spike trains (see Fig. 5a). First, the peaks of the field waves were identified. Second, the spike times were converted to phases of the cycle (C sicsvari et al., 1999). Third, the phase-encoded spikes within a given cycle were exchanged with other pseudorandomly selected cycles within the same spike ...
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... somewhat by this method, the field modulation of the neurons is better preserved. Panel d, Shuffling of spikes across spike trains. This method preserves population modula- tion of spike timing but may reduce firing-rate differences between the original spike trains. A fourth method (phase-invariant spike shuffling) is illustrated below (see Fig. ...
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... number of repeating sequences extracted from the original spike train exceeded the number of repeating sequences present in each of the 100 surro- gate trains. Comparison between the original spike train and its phase-corrected shuffled surrogates (see phase-invariant shuf- fling in Materials and Methods) is illustrated in Figure 5. The phase-corrected shuffling procedure preserved the phase relation- ship between and the individual spikes, therefore reproducing the population dynamics of the parallel spike train as revealed by the identical phase-locked modulation and the similar cross- correlograms of both original and shuffled spikes (Fig. 5b,c). ...
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... Methods) is illustrated in Figure 5. The phase-corrected shuffling procedure preserved the phase relation- ship between and the individual spikes, therefore reproducing the population dynamics of the parallel spike train as revealed by the identical phase-locked modulation and the similar cross- correlograms of both original and shuffled spikes (Fig. 5b,c). This procedure also preserved the within-spike-train dynamics of sin- gle neurons, as indicated by the similar autocorrelograms of the original and shuffled spike trains (Fig. 5d). Comparison of repeat- ing spike sequences indicated that the number of repeating spike sequences (r) was less for all sequences (m) in any of the 133 ...
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... dynamics of the parallel spike train as revealed by the identical phase-locked modulation and the similar cross- correlograms of both original and shuffled spikes (Fig. 5b,c). This procedure also preserved the within-spike-train dynamics of sin- gle neurons, as indicated by the similar autocorrelograms of the original and shuffled spike trains (Fig. 5d). Comparison of repeat- ing spike sequences indicated that the number of repeating spike sequences (r) was less for all sequences (m) in any of the 133 shuffled surrogates compared with the original spike train (Fig. 5e). Of the various shuffling methods, across-spike-train shuffling resulted in the most spike sequence repetitions; ...
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... dynamics of sin- gle neurons, as indicated by the similar autocorrelograms of the original and shuffled spike trains (Fig. 5d). Comparison of repeat- ing spike sequences indicated that the number of repeating spike sequences (r) was less for all sequences (m) in any of the 133 shuffled surrogates compared with the original spike train (Fig. 5e). Of the various shuffling methods, across-spike-train shuffling resulted in the most spike sequence repetitions; therefore it may be regarded as the most rigorous test. Figure 6 illustrates the difference between repeating spike sequences obtained from the original parallel spike trains recorded from five rats and the Monte Carlo ...

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... Even though dreaming is a universal phenomenon, characterizing its role is still, up to this day, a challenging task. For instance, it is difficult to assess whether the improvement of skills after a night of sleep is due to the occurrence of a certain dream, or to other physiological features of sleep such as hippocampal replay during NREM sleep [25]. In other words, the potential effects of sleeping and dreaming are entangled and thus confounded, since they are naturally co-occurring. ...
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... We estimated the compression factor as the speed of the trajectory divided by the average running speed of the animal on the maze arms in the corresponding session, and we found an average compression factor of 5.8 (across all task phases together, median and interquartile range: 3.8 [2.5, 7.1]). This is of the same order of magnitude as previously reported for CA1 during sleep (Ji and Wilson, 2007;Lansink et al., 2009;Lee and Wilson, 2002;Nádasdy et al., 1999) or during theta sequences in the awake state (Dragoi and Buzsáki, 2006;Maurer et al., 2012;Pezzulo et al., 2017). ...
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