PMC10126506_01
Cortico-ocular cross-correlation matrices during Session 1, Session 2, and Session 3. (A) Each matrix represents a given sub-network (i.e., pair of Brain location-Eye): CP3-Eye Left, CP3-Eye Right, P03-Eye Left, P03-Eye Right, P04-Eye Left, P04-Eye Right, CP4-Eye Left, and CP4-Eye Right). Matrix elements represent pairwise coupling strength between the 7 frequency bands of one Brain Location with the same bands derived from one eye. (B) Normalized spectral power of frequency bands at CP4 EEG and Eye Right channels (left panels). The right panel shows a 60-s segment for F7 in CP4 and F1 in Eye Right:note that these time series present an anticorrelated behavior as indicated by the corresponding matrix element within the CP4-Eye Right cross-correlation matrix in (A).
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PMC10126506_01_fnetp-03-1151832-g001.jpg
F1
This led to 49 (7 x 7) cross-correlation values Ci,j for each pair of Brain Location-Eye, as shown in the cortico-ocular cross-correlation matrices (Figure 1). Cortico-ocular cross-correlation matrices represent pairwise coupling strength between the seven frequency bands fi of one brain location with the same bands derived from one Eye (i.e., eight distinct pairs: CP3-Eye Left, CP3-Eye Right, P03-Eye Left, P03-Eye Right, P04-Eye Left, P04-Eye Right, CP4-Eye Left, and CP4-Eye Right) during a given session (Figure 1A). To visualize the information provided by the cortico-ocular cross-correlation matrices, we mapped the matrices in Figure 1 into different networks for Session 1, Session 2, and Session 3. Network links correspond to the values of cross-correlation matrix elements Ci,j in Figure 1. Note that this set of thresholds was arbitrarily selected to provide the best visualization for the main results of the study shown in the cross-correlation matrices (Figure 1). The results for the left hemisphere (P03-Eye Left, and P03-Eye Right, CP3-Eye Left, CP3-Eye Right) are shown in Supplementary Figures S1, S2.
Cortico-ocular interaction networks during Session 1, Session 2, and Session 3. Network maps are obtained based on the cross-correlation matrices shown in Figure 1. Network links correspond to the matrix elements and represent the coupling strength between distinct frequency bands of one brain location with the same bands derived from one eye. Each brain location is shown as a semi-circle and eyes are represented as circles, where color nodes represent frequency bands (Section 2.2, Methods). Links strength is marked by line color and width: positive links (Ci,j > 0.17; dark red); weak positive links (0.12 < Ci,j < 0.17; light red); negative links (Ci,j < -0.17; dark blue)) and weak negative links (-0.17 < Ci,j < -0.12; light red). Links corresponding to cross-correlation values -0.1< Cij < 0.1 (Figure 2) are not shown in the network maps.
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F2
Links corresponding to cross-correlation values -0.1< Cij < 0.1 (Figure 2) are not shown in the network maps. Eyes, all multiplex networks (Figure 2) are presented separately as sub-network maps for all pairs of Brain Location-Eye (Figures 3, 4). Each sub-network map corresponds to a pair for a given Brain Location-Eye and follows the same color code as in the original network. The results for the left hemisphere (P03-Eye Left, and P03-Eye Right, CP3-Eye Left, CP3-Eye Right) are shown in Supplementary Figures S1, S2.
Links strength profiles in the P04-Eye Left (A) and P04-Eye Right (B) sub-networks. Left panels: dynamic cortico-ocular networks where network links show the coupling strength (degree of synchronous activity) for the P04-Eye sub-networks. Right panels: the P04-Eye sub-networks topology is defined by basic modules, each representing the interaction of a given frequency band from P04 with all frequency bands from Eye Left/Eye Right. Frequency bands of P04 are marked by circles on the horizontal axis of each bar chart, and the frequency bands of the Eye Left/Eye Right are marked by black squares within each module. Bars color in each profile corresponds to the color of the node associated with a given frequency band in the P04 brain location.
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F3
Eyes, all multiplex networks (Figure 2) are presented separately as sub-network maps for all pairs of Brain Location-Eye (Figures 3, 4). Each sub-network map corresponds to a pair for a given Brain Location-Eye and follows the same color code as in the original network. Due to space limitations, we only present the sub-networks for the right hemisphere: P04-Eye Left, P04-Eye Right, CP4-Eye Left, and CP4-Eye Right (Figures 3, 4). Figure S3). For example, the correlation in the P04-Left Eye sub-network changed from 0.12 in Session 1 to -0.51 in Session 3.
Links strength profiles in the CP4-Eye Left (A) and CP4-Eye Right (B) sub-networks during Session 1, Session 2, and Session 3. Left panels: networks represent the cross-correlation matrices (Figure 1), where network links correspond to the matrix elements and show the coupling strength (degree of synchronous activity) for the CP4-Eye sub-networks. Links strength is marked by line color and width (Section 2.5, Methods). Right panels: the CP4-Eye sub-networks topology is defined by basic modules, each representing the interaction of a given frequency band from CP4 with all frequency bands from Eye Left/Right. The frequency bands of CP4 are marked by circles on the horizontal axis of each bar chart, and the frequency bands of the Eye Left/Eye Right are marked by black squares within each module. Bars color in each profile corresponds to the color of the node associated with a given frequency band in the CP4 brain location.
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F4
Eyes, all multiplex networks (Figure 2) are presented separately as sub-network maps for all pairs of Brain Location-Eye (Figures 3, 4). Each sub-network map corresponds to a pair for a given Brain Location-Eye and follows the same color code as in the original network. Due to space limitations, we only present the sub-networks for the right hemisphere: P04-Eye Left, P04-Eye Right, CP4-Eye Left, and CP4-Eye Right (Figures 3, 4).