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. 2021 Mar 2;11:4941. doi: 10.1038/s41598-021-83923-5

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© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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The interaction indices measured from response patterns of gamma oscillations and MUA. (a) demonstrates the response matrices (M₁) in response to stimuli in Fig. 3a for three example sites. The prediction matrix (M₂) can be calculated as: M₂(c₁, c₂) = M₁(c₁, 0) + M₁(0, c₂). The interaction index was then defined by the Eq. (6) in “Materials and methods”. The values of the interaction index were labeled by the side of each example. (b) shows histograms of the interaction indices for low gamma power (LG), high gamma power (HG), and MUA. The index of most sites (n = 136 for LG; n = 132 for HG; n = 128 for MUA) was significantly lower (Bootstrap method, p < 0.001) than 0 (black solid line). (c) Shows the site by site correlations of interaction indices among three signals (from left to right, they are the correlation between LG and HG, the correlation between LG and MUA, and the correlation between HG and MUA). Pearson’s correlation was used to test the significance of the relationship in each pair of comparisons (significant correlation was marked as a red font). Linear regression (black lines in c) was also calculated for correlation measurements.