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> Phase synchronies between activities in the two nuclei that were higher than those observed in surrogate time series are indicated as bold in Table 2 (OFF and ON levodopa).
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The PSI OFF levodopa was significantly greater than that observed in the surrogate time series (97.5th percentile PSI 0.03).
Nonetheless, the PSI between the two beta activities ON levodopa was significantly greater than that observed in the surrogate time series (97.5th percentile PSI 0.025).
No change, amplification and suppression were determined with respect to the beta modulation levels observed in the surrogate time series as described above.
The phase difference beta envelope relationship was then estimated in the surrogate time series and the threshold for significant modulation was set at 2.5th and 97.5th percentile of the beta envelope modulation obtained from the surrogate pairs.
For each phase difference bin, if the median beta amplitude change observed at that bin was greater than the 97.5th percentile of the beta amplitude change in the surrogate time series then this phase bin was classified as 'amplifying'amplifying
Similarly, if the median beta amplitude change observed at that bin was less than the 2.5th percentile of the beta amplitude change in the surrogate time series then the phase bin was classified as 'suppressive'suppressive
We next compare the ratio of linear vs. nonlinear in-sample forecast error for the original and surrogate time series.
This anomaly is caused by the surrogates having an artificially lower average correlation, shown in the equivalent panel in Figure 3. Finally, we compare the original and surrogate time series using a time reversal asymmetry statistic.
Equivalent surrogate time series did not show convergence with dimension.
Significant PSI with respect to the surrogate time series is defined as PSI values greater than 97.5th percentile of the phase synchrony observed in the surrogate time series (n = 1000).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com