Nested oscillations and brain connectivity during ... · 34 between brain regions (Corbetta and...
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Nested oscillations and brain connectivity during 1
sequential stages of feature-based attention 2
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Mattia F. Pagnotta1,*, David Pascucci1,2, Gijs Plomp1 6
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8 1 Perceptual Networks Group, Department of Psychology, University of Fribourg, Fribourg, 9
Switzerland 10 2 Laboratory of Psychophysics, Brain Mind Institute, School of Life Sciences, École Polytechnique 11
Fédérale de Lausanne (EPFL), Lausanne, Switzerland 12
13
14 * Corresponding author 15
Email: [email protected] (M.F.P.) 16
17
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Abstract 18
Brain mechanisms of visual selective attention involve both local and network-level activity changes 19
at specific oscillatory rhythms, but their interplay remains poorly explored. Here, we investigate 20
anticipatory and reactive effects of feature-based attention using separate fMRI and EEG recordings, 21
while participants attended to one of two spatially overlapping visual features (motion and 22
orientation). We focused on EEG source analysis of local nested oscillations and on graph analysis of 23
connectivity changes in a network of fMRI-defined regions of interest, and characterized a cascade of 24
attentional effects and their interplay at multiple spatial scales. We discuss how the results may 25
reconcile several theories of selective attention, by showing how β rhythms support anticipatory 26
information routing through increased network efficiency and β-γ coupling in functionally specialized 27
regions (V1 for orientation, V5 for motion), while reactive α-band desynchronization patterns and 28
increased α-γ coupling in V1 and V5 mediate stimulus-evoked processing of task-relevant signals. 29
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1. Introduction 30
Visual selective attention enables us to prioritize the processing of behaviorally relevant stimuli while 31
filtering out irrelevant ones. This fundamental function of the human brain is supported by changes in 32
activity patterns that occur at multiple spatial scales, from local neuronal circuits to global interactions 33
between brain regions (Corbetta and Shulman, 2002; Greenberg et al., 2010; Kastner and Ungerleider, 34
2000; Scolari et al., 2014; Serences and Yantis, 2007). A central role in this distributed brain function 35
is played by specific rhythms that coordinate selective processing both at the level of neuronal 36
ensembles and at the macro-scale of multiple brain regions, determining the enhancement and 37
propagation of attention-related signals or the downregulation of irrelevant activity (Antzoulatos and 38
Miller, 2014; Bonnefond and Jensen, 2015; Buschman et al., 2012; Buzsáki and Draguhn, 2004; 39
Canolty et al., 2007; Haegens et al., 2011a; Kopell et al., 2000; von Stein and Sarnthein, 2000). 40
A growing body of evidence suggests that distinct neuronal rhythms may serve distinct functional 41
roles in selective attention. Activity over an extended frequency range around the alpha rhythm (α, 7–42
14 Hz), for instance, has been widely linked to the prevention or inhibition of task-irrelevant signals 43
(Chelazzi et al., 2019; Foster and Awh, 2019; Van Diepen et al., 2019; but see Noonan et al., 2016; 44
Schroeder et al., 2018). A potential mechanism by which α rhythms would gate selective attention is 45
through the pulsed inhibition of ongoing cortical activity, by providing phasic bursts of inhibition that 46
suppress the functional processing and inter-areal communication in the gamma frequency range (γ, 47
above 30 Hz) (Jensen and Mazaheri, 2010). In support of this, several studies have recently 48
documented an inverse relationship between α-band feedback signaling from attentional control 49
regions and feedforward γ-band activity in sensory cortices, revealing top-down, attention-related α-50
modulations that interfere with local structures of α-γ phase-amplitude coupling (PAC) in sensory 51
areas (Bonnefond and Jensen, 2015; Haegens et al., 2011b; Mathewson et al., 2011; Mazaheri and 52
Jensen, 2010; Pascucci et al., 2018; Popov et al., 2017). At a relatively higher range of frequencies, 53
beta rhythms (β, 15–30 Hz) have been instead related to the instantiation of distributed task-relevant 54
representations that convey context- and content-specific information (Antzoulatos and Miller, 2016, 55
2014; Buschman et al., 2012; Richter et al., 2018; Spitzer and Haegens, 2017). At the same time, β-56
band activity has been also shown to promote feedforward and inter-areal γ-band synchronization 57
(Richter et al., 2017), while preventing interference and irrelevant attentional shifts (Fiebelkorn and 58
Kastner, 2019). Thus, distinct rhythms appear to fulfil separate but complementary roles in selective 59
attention, by differentially modulating local activity, structures of cross-frequency coupling and 60
neuronal communication in large-scale networks. 61
A further distinction exists as to whether specialized rhythms support the anticipatory (pre-stimulus) 62
and reactive (post-stimulus) components of selective attention. Pre-stimulus synchronization of α-band 63
activity has been mostly described in relation to anticipatory, proactive-like mechanisms to filter-out 64
irrelevant features and locations (Foxe and Snyder, 2011; Kelly et al., 2006; Oliveira et al., 2014; 65
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Snyder and Foxe, 2010; Worden et al., 2000; but see Noonan et al., 2016), whereas post-stimulus, α-66
band event-related desynchronization (ERD) has been linked to the release from inhibition (Klimesch 67
et al., 2007), which in turn facilitates local and feedforward γ-band activity conveying task-relevant 68
signals (Bonnefond et al., 2017; Pascucci et al., 2018; Popov et al., 2017). Conversely, post-stimulus 69
increases of α-band activity may represent reactive suppression and the return to inhibitory states that 70
prevent task-irrelevant processing (Pascucci et al., 2018). In a similar vein, increases of β-band activity 71
have also been found in preparatory stages of processing (Schneider and Rose, 2016), as top-down 72
modulatory signals that relay task-specific behavioral context (Richter et al., 2018), or in more reactive 73
stages as feedback control mechanisms that facilitate the bottom-up communication of attended 74
stimuli (Bastos et al., 2015). Crucially, most of these phenomena have been investigated separately 75
and the exact nature of their interplay, as well as the complexity of local and large-scale neuronal 76
dynamics involved in selective attention, remains poorly understood. 77
In the present work, we leveraged different spatial scales of neuronal activity to characterize the 78
temporal dynamics of local and network-level changes during anticipatory and reactive stages of 79
attentional processing. At the local level, we focused on the phenomenon of nested oscillations 80
(Bonnefond et al., 2017), hypothesizing functional differences in the coupling between α-β and γ 81
rhythms depending on the anticipation and processing of relevant or irrelevant sensory signals. At the 82
network level, we exploited measures of directed connectivity among distributed attentional and 83
sensory areas, with the goal to relate large-scale functional interactions to local changes in nested 84
oscillations. 85
To this end, we acquired separate EEG and fMRI recordings while human participants were 86
performing basic visual tasks under different feature-based attention conditions. We presented two 87
spatially overlapping features (Baldauf and Desimone, 2014), motion and orientation, and we 88
manipulated participants attention toward each of them in separate blocks, probing both anticipatory 89
and reactive feature-specific attentional responses. Our results revealed a cascade of attentional effects 90
at multiple spatial scales, from anticipatory β-band coupling and connectivity changes involving 91
functionally specialized regions (e.g., V1 and V5), to distinct local and global post-stimulus dynamics 92
initiated by α-band desynchronization. 93
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2. Results 94
2.1. Attention modulates visual-evoked potentials 95
The behavioral task required the participants to attend visual stimuli presented at central location 96
(Figure 1A), and to discriminate either the motion direction of signal-dots in the Random Dot 97
Kinematograms (RDK; motion discrimination task), or the off-vertical tilt of the Gabor (orientation 98
discrimination task). Hereafter, these two tasks conditions are named Attended-motion and Attended-99
orientation, respectively. In both Attended conditions, the stimuli contained both features (motion and 100
orientation). In a third task condition that served as control, participants were asked to report sporadic 101
color changes in the fixation spot, which rendered the same stimuli irrelevant for the task (Unattended 102
condition), without changing their physical characteristics. We calibrated task-difficulty beforehand 103
(see Methods) and did not observe differences in behavioral performance between the two 104
discrimination tasks. Percentage correct was 89.0% (SD=5.2) and 88.6% (SD=7.2) for Attended-105
motion and Attended-orientation respectively (t=0.19, p=0.8485), with corresponding reaction times 106
(RTs) of 687.5 ms (SD=159.1) and M=699.5 ms (SD=141.0; t=-0.62, p=0.5432). In the Unattended 107
control condition, participants correctly detected a color change in the fixation spot in 99.2% of target 108
trials (SD=1.4), with RT of 484.4 ms (SD=46.6). 109
110 Figure 1. Experimental paradigm and VEPs results. A) Schematic representation of trial structures for Attended (motion 111 or orientation discrimination) and Unattended (detection of color changes in the fixation spot). The white arrows on top of the 112 visual stimuli indicate the direction of coherent motion and were not present during the experiment. The red fixation spot is 113 enlarged for illustrative purpose, it did not change size during color changes. B) Show grand-average VEPs from three 114 electrode clusters: left occipito-temporal (lOT); centro-occipital (CO); right occipito-temporal (rOT). Electrode locations of 115 each cluster are highlighted in red in the corresponding scalp representation (on the left). The VEPs in the Attended-motion 116 (ATT-MOT) and Attended-orientation (ATT-ORI) conditions are shown in orange and purple, respectively; while, VEPs in 117 the Unattended condition (UNATT) are shown in blue. For each condition, the shading represents the standard error of the 118 mean. Green vertical shades represent time intervals that showed statistically significant results in the repeated-measures 119 ANOVA (pFDR<0.05). Results of repeated-measures ANOVA and of post-hoc analyses are provided in Table 1. C) The 120 figures show the scalp topographical distribution of the differences between Attended-motion and Unattended, at the time 121 intervals derived from the ANOVA results (top to bottom). 122
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Attention has been shown to modulate the amplitude of stimulus-evoked P1 component, at around 100 123
ms post-stimulus onset (Hillyard et al., 1998; Pascucci et al., 2018; Zhang and Luck, 2009). 124
Comparing Attended conditions with the Unattended showed an attentional P1 increase over posterior 125
electrodes (Figure 1B). Post-hoc analyses revealed significant P1 amplitude increases for both 126
Attended-motion and Attended-orientation in left occipito-temporal (lOT) and centro-occipital (CO) 127
electrode clusters. In right occipito-temporal (rOT) electrodes, P1 amplitude was significantly higher 128
than Unattended only for Attended-orientation (Table 1). 129
Table 1. 130 VEPs analysis; results of repeated measures ANOVA and post-hoc tests. 131 Sensor-space macro area Time-interval F-statistic Significant post-hoc comparisons
left occipito-temporal (lOT)
86–106 ms p=0.0214 (F=4.83) ATT-MOT > UNATT: p=0.0043 (t=3.27)
ATT-ORI > UNATT: p=0.0100 (t=2.88)
182–200 ms p=0.0229 (F=4.52) ATT-ORI > UNATT: p=0.0059 (t=3.12)
482–500 ms p=0.0269 (F=4.20) ATT-ORI < UNATT: p=0.0084 (t=-2.96)
centro-occipital (CO)
74–110 ms p=0.0097 (F=6.18) ATT-MOT > UNATT: p=0.0038 (t=3.32)
ATT-ORI > UNATT: p=0.0017 (t=3.68)
420–500 ms p=0.0024 (F=17.32) ATT-MOT < UNATT: p<0.0001 (t=-5.03)
ATT-ORI < UNATT: p<0.0001 (t=-5.10)
right occipito-temporal (rOT)
84–96 ms p=0.0308 (F=3.89) ATT-ORI > UNATT: p=0.0034 (t=3.37)
202–210 ms p=0.0482 (F=3.31) ATT-MOT > UNATT: p=0.0266 (t=2.41)
444–494 ms p=0.0096 (F=6.26) ATT-ORI < UNATT: p=0.0011 (t=-3.89)
Note. ATT-MOT and ATT-ORI refer to the Attended-motion and Attended-orientation conditions, respectively. UNATT refers 132 to the Unattended condition. 133
The results further showed attentional modulations of the P2 component (around 200 ms after stimulus 134
onset), with significantly increased amplitudes for Attended-orientation in lOT (p=0.0059), and for 135
Attended-motion in rOT (p=0.0266). The effects replicate previous findings of P2 modulations for 136
target stimuli (Kanske et al., 2011; Maeno et al., 2004; Van Voorhis and Hillyard, 1977). At latencies 137
beyond 400 ms, significant differences in VEPs were mostly observed over CO, with decreased 138
amplitude for both Attended conditions (Figure 1B, Table 1). The sign and topographical distribution 139
of these late differences resembled the posterior selection negativity (Figure 1C) (Hillyard and Anllo-140
Vento, 1998). While selection negativity is usually observed from 150-200 ms after stimulus onset 141
with static stimuli (Daffner et al., 2012; Hillyard and Anllo-Vento, 1998; Pascucci et al., 2018), our 142
use of moving stimuli with multiple features may explain the late occurrence. 143
2.2. Attention dynamically modulates brain rhythms 144
To investigate how attention modulates brain rhythms before and after stimulus onset, we compared 145
spectral power distributions between attention conditions. Across the pre-stimulus interval (-300–0 146
ms), we found that attention significantly enhanced power spectra. The anticipatory increases for the 147
Attended conditions were most prominent in the β-band and distributed over lateral and occipito-148
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temporal electrodes (Figure 2A). To localize these anticipatory effects to underlying cortical areas, we 149
next performed the power-spectral analysis on source-reconstructed signals. We used EEG source 150
imaging based on individual lead-fields to extract the signals from 22 cortical regions of interest 151
(ROIs) across the brain (Oostenveld et al., 2011; Rubega et al., 2019; Van Veen et al., 1997). The 152
ROIs were derived from fMRI cluster-peaks of significant differences, obtained with the same tasks 153
and participants (Figure 3, Table 2) (see Methods). The EEG source-space results showed that the 154
anticipatory β-band power increases in Attended conditions mainly originate from lateral visual areas 155
(Figure 2B). 156
157 Figure 2. Attentional modulation of brain rhythms: comparison between Attended-motion and Unattended. Results of 158 sensor-space power spectra analysis are shown for anticipatory (A) and reactive (C) time intervals. Each figure represents the 159 distribution of statistically significant differences (positive t-values for Attended-motion higher than Unattended, and vice 160 versa negative t-values) from cluster-based permutation (two-tailed t-test with p<0.05, 50000 permutations, and p<0.05 for 161 the permutation test), together with the topographical distributions of these differences in the α-band (bottom) and β-band 162 (top). Here and in the following, red indicate positive differences between Attended and Unattended conditions (i.e., 163 increases with attention), while blue indicates negative differences (i.e., decreases with attention). B) The polar histogram 164 represents the effect sizes for each ROI of source-space power differences between conditions in the β-band (15–30 Hz). D) 165 The figure shows the results of source-space time-varying power spectra analysis, with the distribution of statistically 166 significant differences from cluster-based permutation (two-tailed t-test with p<0.05, 50000 permutations, and p<0.05 for the 167 permutation test). The marginal plots show time- or frequency-collapsed distributions of significant differences in power 168 spectra. The polar histograms on the right represent the effect sizes for each ROI of power differences between conditions, in 169 the following frequency bands: α (5–12 Hz), β (15–30 Hz), and γ (45–100 Hz). Effect sizes were estimated using Cohen's d 170 (Cohen, 1992). Analogous results were obtained when comparing Attended-orientation to Unattended (Figure S1). 171
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172 Figure 3. fMRI results and ROIs. A) Results of the voxel-wise t-test comparison across participants for the contrast 173 Attended vs. Unattended; positive and negative results from the comparison are shown in the red and blue color scales, 174 respectively. B) Results of the voxel-wise t-test comparison across participants for the contrast Attended vs. Rest; voxels with 175 higher activity in both Attended conditions compared to Rest are shown in the yellow color scale. C) Centroids of the 22 176 ROIs identified from the fMRI results. 177
Table 2. 178 Details about the 22 regions of interest (ROIs). 179 Anatomical region ROI abbreviation Coordinates of centroid (MNI-space)
x y z
left premotor area PM L -43.60 -6.40 41.20
right premotor area PM R 42.61 -6.00 47.13
left middle frontal gyrus MFG L -32.00 30.00 42.00
right middle frontal gyrus MFG R 34.29 28.29 42.29
left inferior frontal gyrus IFG L -45.00 27.13 6.75
right inferior frontal gyrus IFG R 44.29 18.29 25.14
supplementary motor area SMA -2.50 -0.17 59.67
middle cingulate cortex MCC 10.00 -24.00 42.00
left calcarine sulcus V1 L -4.29 -93.14 2.29
right calcarine sulcus V1 R 12.00 -92.00 2.00
left cuneus Cuneus L -6.67 -81.00 26.33
left secondary visual cortex V2 L -36.47 -83.06 -3.76
right secondary visual cortex V2 R 35.00 -86.00 -7.00
left fusiform gyrus FFG L -35.00 -62.67 -13.67
left gyrus postcentralis GPC L -33.33 -36.00 51.33
left superior parietal lobule SPL L -10.00 -50.29 45.14
right superior parietal lobule SPL R 18.00 -63.50 52.50
left inferior parietal lobule IPL L -55.33 -34.67 32.67
right inferior parietal lobule IPL R 49.41 -48.94 37.41
left middle temporal area MTG L -55.00 -56.00 13.00
right visual cortex V5 V5 R 53.33 -61.00 1.33
right middle temporal area MTG R 57.50 -37.25 -5.75
Note. In the column about ‘ROI abbreviation’: L and R stand for left and right, respectively. 180
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In the post-stimulus interval, we found greater decreases in α and β-band power for the Attended 181
conditions across widespread electrodes (Figure 2C). These effects reflect an ERD (Minami et al., 182
2014; Pfurtscheller and Lopes da Silva, 1999; Schmiedt et al., 2014; Yordanova et al., 2001) that was 183
larger for attended than unattended stimuli (Mazaheri and Picton, 2005; Pascucci et al., 2018). We 184
used time-varying spectral analysis in the source-space and showed that significant differences 185
between Attended and Unattended conditions emerged shortly after stimulus onset, with stronger ERD 186
in the α and β-band for Attended in fronto-parietal regions (Figure 2D). 187
Taken together, the results showed that attention modulates local brain rhythms in distinct ways before 188
and after stimulus onset. Anticipatory effects involved attentional increase of β-band power in lateral 189
visual areas, while reactive effects involved stronger α and β-band ERD in parietal and frontal regions 190
due to attention. Spectral power changes occurred irrespective of the attended feature (motion or 191
orientation). These results suggest a dynamic reorganization of distributed activity in distinct 192
frequency bands, depending on whether a stimulus is attended or not. We further investigated the pre- 193
and post-stimulus effects of attentional processing using network and PAC analyses. 194
2.3. Anticipatory stage: increased large-scale network efficiency 195
To identify anticipatory network changes due to attention, we estimated the frequency-specific 196
directed connections between the 22 ROIs using a multivariate functional connectivity measure, the 197
information partial directed coherence (iPDC) (Baccalá and Sameshima, 2014; Takahashi et al., 2010). 198
To describe and compare the topological properties of the resulting networks in different frequencies, 199
we used two network measures: global efficiency and local efficiency (Latora and Marchiori, 2001; 200
Rubinov and Sporns, 2010). Given the ability of the iPDC to characterize both directionality and 201
directness of inter-areal connections and because of its information-theoretic foundation (Baccalá and 202
Sameshima, 2014; Takahashi et al., 2010), these functional connections can be seen as paths of 203
integration between network’s ROIs. The iPDC-derived network’s global efficiency represents the 204
frequency-specific level of global functional integration among all regions. Likewise, the network’s 205
local efficiency represents the level of functional integration within subgraphs of neighbor regions, 206
defined by strongest functional connections, while the local efficiency of each single ROI measures 207
the local integration within its own subgraph only (see Methods). 208
Topological network analysis revealed that attention to motion significantly increased both global and 209
local efficiency of the network in the β (15–21 Hz) and high-γ band (around 60 Hz) (Figure 4A). We 210
found analogous increases for Attended-orientation (Figure 4B), where statistically significant 211
differences in the γ-band spanned a larger frequency range (57–71 Hz) and we observed an additional 212
increase in global efficiency at 33-34 Hz. The results suggest that anticipatory network effects could 213
enhance large-scale network communication and information routing in the β and γ-band, by changing 214
network topology at these frequencies to favor functional integration both globally and within 215
functional subgraphs. 216
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217 Figure 4. Anticipatory differences in network efficiency. Results for network’s global efficiency and local efficiency, for 218 the comparisons: A) Attended-motion vs. Unattended; B) Attended-orientation vs. Unattended. Differences between 219 conditions are evaluated as a function of frequency for global (left) and local efficiency (right). Gray shading represents the 220 standard error of the mean. Green vertical shades represent the frequencies that showed statistically significant results in a 221 two-tailed t-test (pFDR<0.05). 222
2.4. Anticipatory stage: local changes in β-γ coupling 223
Before stimulus onset we found that attention enhanced network functional integration in the β and γ-224
band. The activity from the two frequency bands may be integrated locally through mechanisms of 225
cross-frequency coupling (Bonnefond et al., 2017; Buzsáki, 2006; Canolty et al., 2006; Canolty and 226
Knight, 2010; Jensen and Colgin, 2007), we thus investigated whether attention modulates the within-227
region PAC (Martínez-Cancino et al., 2019; Penny et al., 2008). For this analysis, we selected 9 ROIs 228
in occipito-temporal cortex based on the results of power spectra analyses, and in line with previous 229
studies that reported modulations of low-frequency activity and cross-frequency coupling in occipital 230
cortex (Bastos et al., 2015; Bonnefond and Jensen, 2015; Pascucci et al., 2018; Schmiedt et al., 2014). 231
The results showed that attention to motion selectively increased β-γ PAC in region V5-R (fPHASE: 24–232
27 Hz; fAMPLITUDE: 54–80 Hz) (Figure 5A). For Attended-orientation, we found a significant β-γ PAC 233
increase at high amplitude frequencies (fPHASE: 23–25 Hz; fAMPLITUDE: 76–86 Hz) and decrease at lower 234
frequencies (fPHASE: 19–20 Hz; fAMPLITUDE: 44–56 Hz) in region V1-L, and increased PAC in region 235
MTG-L (fPHASE: 20–22 Hz; fAMPLITUDE: 46–62 Hz) (Figure 5B). Furthermore, we observed a significant 236
β-γ PAC increase in region V2-R and decrease in region V2-L, for both Attended conditions compared 237
to Unattended. The anticipatory PAC effects could not be attributed to power differences in the 238
signals, as shown by a control analysis based on stratification (Aru et al., 2015; Oostenveld et al., 239
2011) (Figure S2). In sum, while certain regions showed general attentional modulations of PAC (V2-240
L, V2-R), others showed effects that were specific of the attended feature: V5-R for motion, V1-L and 241
MTG-L for orientation. 242
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243 Figure 5. Anticipatory differences in local PAC and correlation with network’s local changes. Differences in within-244 region anticipatory PAC are shown for each pair fPHASE– fAMPLITUDE, for Attended-motion compared to Unattended (A) and for 245 Attended-orientation compared to Unattended (B). The figure shows regions with significant differences from the cluster-246 based permutation comparison (two-tailed t-test with p<0.05, 50000 permutations, and p<0.05 for the permutation test), 247 which are highlighted as more opaque. Black areas indicate fPHASE–fAMPLITUDE pairs excluded from the analysis (see Methods). 248 Figures C–E report the within-region correlation between variations in PAC (ΔPAC) and variations in single-node’s local 249 efficiency (ΔElocal), for regions that showed a significant correlation (p<0.05): C) V2-R for Attended-motion; D) V5-R for 250 Attended-motion; E) V1-L for Attended-orientation. Each figure reports the Spearman’s rho and the p-value for testing the 251 null-hypothesis of no correlation (inside brackets). 252
2.5. A link between PAC and local efficiency modulations 253
Before stimulus onset, we found both enhanced large-scale network integration in the β and γ-band 254
(Figure 4) and increased β-γ PAC in specific occipito-temporal regions (Figure 5A–B). Therefore, we 255
next asked whether in these regions there is a linear relation between the local cross-frequency 256
coupling and their level of functional integration within the network. In each ROI, we evaluated the 257
relationship between changes of PAC (ΔPAC) and changes of its local efficiency (ΔElocal) due to 258
attention (see Methods). The results showed a significant negative correlation in region V2-R between 259
β-γ ΔPAC and β-band ΔElocal for the comparison between Attended-motion and Unattended (rho=-260
0.608, p=0.009, number of outliers = 1) (Figure 5C), which means that when β-band local efficiency 261
increased with attention, the local β-γ PAC decreased. For the same comparison, we found a reversed 262
relationship in region V5-R, where β-γ ΔPAC correlated positively to both β-band ΔElocal (rho=0.595, 263
p=0.011, number of outliers = 1) and γ-band ΔElocal (rho=0.525, p=0.027, number of outliers = 1) 264
(Figure 5D). These effects reveal that in V5-R when local efficiency increased with attention in the β 265
and γ-band, the local β-γ PAC increased too, across subjects. From comparing Attended-orientation 266
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and Unattended, a significant positive correlation between β-γ ΔPAC and β-band ΔElocal was observed 267
in region V1-L (rho=0.519, p=0.024, number of outliers = 0) (Figure 5E). No statistically significant 268
effects were observed in the other ROIs tested. 269
It is worth highlighting that a significant positive correlation between β-γ ΔPAC and β-band ΔElocal 270
was found in V5-R when motion was attended and in early visual area V1-L when orientation was 271
attended, which are respectively known to be sensitive to motion coherence and Gabor’s orientation 272
(Ahlfors et al., 1999; Bosking et al., 1997; Koelewijn et al., 2011; Schoenfeld et al., 2007; Simoncelli 273
and Olshausen, 2001). The effects therefore suggest that, only in functionally specialized regions, the 274
anticipatory within-region increases of local cross-frequency coupling are linked to the increased 275
levels of functional integration among neighboring areas of that region. 276
2.6. Reactive stage: dynamic local changes in α-γ coupling 277
We found larger stimulus-evoked α and β-band desynchronization for attended stimuli (Figure 2). We 278
therefore investigated whether α-γ PAC and β-γ PAC were modulated by reactive attentional 279
processing. Our results showed significantly increased α-γ PAC for Attended-motion in regions V5-R 280
and MTG-R (Figure 6A). The α-γ PAC increase in V5-R started around 46 ms post-stimulus onset and 281
lasted up to approximately 100 ms, involving high γ-band frequencies (64–100 Hz). The significant α-282
γ PAC increase in MTG-R occurred between 66 and 124 ms, modulating frequencies in the range 72–283
100 Hz. For Attended-orientation, we found that α-γ PAC in V1-L was significantly increased 284
compared to Unattended, at latencies and frequencies in the ranges 86–130 ms and 62–100 Hz, 285
respectively (Figure 6B). A recent study showed a similar reactive increase in α-γ PAC using an 286
orientation discrimination task (Pascucci et al., 2018). No statistically significant effects were 287
observed in the other ROIs tested, and no correlations between changes of within-region α-γ PAC and 288
local efficiency were observed in post-stimulus time. 289
290 Figure 6. Stimulus-evoked differences in local α-γ PAC. The temporal evolution of differences in PAC are shown for the 291 coupling between α-band phase (10 Hz for Attended-motion compared to Unattended, and 8 Hz for Attended-orientation 292 compared to Unattended) and γ-band amplitude (50–100 Hz, in 2Hz-steps). Panel A) shows Attended-motion compared to 293 Unattended, B) Attended-orientation compared to Unattended. Result were obtained via cluster-based permutation (two-294 tailed t-test with p<0.05, 50000 permutations, and p<0.05 for the permutation test), statistically significant results are 295 highlighted as more opaque. 296
It should be noted that the reactive attentional increases in α-γ PAC involved the same functionally 297
specialized regions that showed anticipatory increases in β-γ PAC (V5-R for Attended-motion and V1-298
L for Attended-orientation), positively correlated at between-subject level with β-band ΔElocal (Figure 299
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5). We did not find, however, any significant differences in stimulus-evoked β-γ PAC between 300
Attended and Unattended conditions. Taken together, this suggests that the anticipatory and reactive 301
stages of attentional processing may be distinctively mediated by β and α rhythms. 302
2.7. Reactive stage: fast dynamics of network efficiency 303
We next asked how attentional processing affects large-scale network topology after stimulus onset. 304
To dynamically investigate stimulus-evoked network changes, we employed time- and frequency-305
resolved estimates of functional connectivity (iPDC) between the 22 ROIs (Pascucci et al., 2019; 306
Takahashi et al., 2010). The results showed significantly diminished global and local efficiency of the 307
network for Attended-motion compared to Unattended in both α and β-band, and from latencies 308
around 270 ms and 300 ms, respectively (Figure 7). These low-frequency differences in network 309
topology were preceded by a significant increase for Attended-motion of both global and local 310
efficiency in the γ-band, at around 160 ms post-stimulus onset (Figure 7C). Similar results were 311
obtained by comparing Attended-orientation and Unattended, where we found significantly decreased 312
global and local efficiency of the network at low-frequencies (α and β-band), roughly from 240 ms 313
post-stimulus onset, preceded by a significant γ-band increase for Attended-orientation around 180 ms 314
post-stimulus onset in both efficiency measures (Figure S3). 315
316 Figure 7. Stimulus-evoked differences in network efficiency. Differences between Attended-motion and Unattended are 317 shown for three frequency bands, A) α-band, B) β-band, and C) γ-band. Left panels show network’s global efficiency, right 318 panels show network’s local efficiency. Gray shading represents the standard error of the mean. Green vertical shades 319 represent latencies that showed statistically significant results in the two-tailed t-test (pFDR<0.05). 320
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Reactive network changes occurred in rapid succession: attention first enhanced efficiency measures 321
in the γ-band (~150–200 ms) and then reduced them in the α and β-band (after 240 ms post-stimulus 322
onset). The low-frequency effects at longer latencies indicate that the evoked α and β-band 323
desynchronization (Figure 2) co-occurs with network-level changes that reduce the functional 324
integration both globally and within subgraphs, favoring more local processing. 325
3. Discussion 326
In the present work, we sought to characterize local and large-scale neuronal dynamics during 327
anticipatory and evoked stages of feature-based selective attention. To this aim, we investigated local 328
cross-frequency coupling and brain-wide directed connectivity during a visual discrimination task that 329
required the attentional selection of one of two spatially overlapping features. Our results show distinct 330
patterns of nested oscillations and functional network topologies that precede and follow stimulus 331
onset. More precisely, we found evidence for a dominant role of β rhythms in the anticipatory stage, 332
followed by stimulus-evoked α-band desynchronization patterns and α-driven structures of nested 333
oscillations. The use of a control condition and the presentation of overlapping features at a single 334
location also allowed us to disentangle between general effects of stimulus relevance and specific 335
effects of the attended feature (motion or orientation). Figure 8 summarizes the findings, highlighting 336
the sequential evolution of local and network-level phenomena with respect to stimulus onset. 337
338 Figure 8. Temporal sequence of the effects induced by visual selective attention. Red (blue) patches indicate attentional 339 increases (decreases), as do upwards (↑) and downwards (↓) arrows. The abbreviation Pow refers to the spectral power. 340
As evident from Figure 8, feature-based selective attention was mediated by a stimulus-induced 341
reconfiguration of both local and large-scale neuronal interactions. Before stimulus onset, increased 342
levels of network integration in the β and γ-band were paralleled by local increases of β-γ coupling in 343
occipito-parietal regions, and the two phenomena correlated across participants. After stimulus onset, 344
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brain activity underwent a marked reconfiguration, with robust desynchronization of α rhythms and 345
increased α-γ coupling in feature-selective regions (V5 and MTG for motion discrimination, V1 for 346
orientation discrimination). 347
The observed cascade of attention-related effects suggests that different mechanisms, involving the 348
interplay between large-scale dynamics and nested oscillations, serve distinct aspects of selective 349
attention. Pre-stimulus β-band activity may reflect an increase in functional communication among 350
regions involved in the upcoming task, with a consequent boost of high-frequency activity in 351
functionally specialized areas (Buzsáki and Wang, 2012). Interpreting the role of β rhythms in the 352
context of attention and cognitive processing, however, is not trivial, given the large body of work 353
traditionally relating these rhythms to motor control (Pfurtscheller et al., 1996; Pogosyan et al., 2009; 354
Sanes and Donoghue, 1993; Swann et al., 2009), sensorimotor functions (Lalo et al., 2007) and 355
working memory (Lundqvist et al., 2016; Schneider and Rose, 2016; Siegel et al., 2009). A recent line 356
of evidence has associated β rhythms with the maintenance of the status quo, that is, the preservation 357
of ongoing sensorimotor states and cognitive sets (Engel and Fries, 2010). Following this line, other 358
studies have hypothesized a role for β-band synchronization in establishing flexible networks of 359
neuronal ensembles that carry content- and task-specific representations (Antzoulatos and Miller, 360
2016, 2014; Buschman et al., 2012; Spitzer and Haegens, 2017). Our results appear in agreement with 361
this latter definition and extend it, by showing that large-scale network interactions associated with β 362
rhythms may control endogenous mechanisms of attention before stimulus onset, likely conveying 363
task-related information to downstream areas (e.g., the type of stimulus to attend/ignore, the type of 364
response required) (Richter et al., 2017). 365
It is relevant to note that, contrary to previous reports (see Chelazzi et al., 2019; Foster and Awh, 366
2019; Snyder and Foxe, 2010 for reviews and discussions), we found no evidence of anticipatory 367
modulations of α-band activity in our data. While, at first, this seems to support the alternative view of 368
α rhythms as a secondary type of inhibitory mechanism, observable only in relation to target 369
processing (e.g., at ipsilateral sides of relevant stimuli; Chelazzi et al., 2019; Foster and Awh, 2019), 370
the fact that our analysis always involved subtracting a control condition with identical stimulation 371
could have hindered anticipatory increases in α power reflecting aspecific preparatory stages and 372
dynamic reallocations of attentional resources (van Diepen and Mazaheri, 2017). 373
A clear modulation of α-band activity was evident shortly after stimulus onset. Alpha 374
desynchronization (Mazaheri and Picton, 2005; Pfurtscheller and Lopes da Silva, 1999) was indeed the 375
main component determining the observed network reconfiguration, accompanied by local increases 376
of α-γ coupling in relevant sensory regions (V5 and MTG for motion discrimination, V1 for 377
orientation discrimination). This latter phenomenon is in line with recent accounts hypothesizing a role 378
of α rhythms in aligning the phase of high-frequency oscillations carrying relevant processing 379
(Bonnefond et al., 2017; Pascucci et al., 2018). Under this view, the decrease of α power resulting 380
from the evoked desynchronization would allow longer windows of neuronal excitability, favoring 381
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local increases and feedforward propagation of γ-band activity (Bonnefond et al., 2017). Thus, the co-382
occurrence of α desynchronization and α-γ coupling may underlie the emergence of short functional 383
windows where the release from inhibitory signals enhances sensory and task-relevant processing. In 384
this respect, our results are also in agreement with the gating-by-inhibition hypothesis that postulates a 385
similar inverse relationship between the degree of α-band synchronization and the level of local 386
neuronal excitability and γ-band activity (Bonnefond and Jensen, 2015; Haegens et al., 2011b; Jensen 387
and Mazaheri, 2010; Mathewson et al., 2011; Mazaheri and Jensen, 2010). 388
As a means to describe functional network properties, we used graph efficiency measures that indicate 389
how easily signals can travel between network nodes, i.e., the degree of local and global integration, 390
depending on the configuration of directed functional connections. The analysis of network efficiency 391
revealed a sequence of stimulus-evoked brain dynamics involving α-band activity: an initial rapid 392
desynchronization of α rhythms with increased α-γ coupling at the local level (~50–120 ms post-393
stimulus), followed by the rise of large-scale γ-band interactions, with enhanced network efficiency in 394
the γ range (150–200 ms post-stimulus). The transition between local and distributed γ-band activity, 395
and the increased efficiency of inter-areal high-frequency communication occurred at latencies that are 396
consistent with stimulus processing time and early attentional effects (Figure 1) (Hillyard et al., 1998; 397
Hillyard and Anllo-Vento, 1998), thus, they may reflect the dynamics by which attentional selection 398
renders stimulus content accessible to widespread circuits. 399
Our results also suggest distinct mechanisms for general and task-specific attentional effects. General 400
effects were mediated by pre-stimulus changes in spectral power across cortical regions and by 401
topological changes in the brain-wide network of functional interactions. These included increased 402
spectral power in the β-band over lateral-occipital areas and increased network efficiency in the β and 403
γ-band. The results therefore point to an aspecific enhancement of large-scale network communication 404
that facilitates information routing while preparing for an attended stimulus to appear (Buschman and 405
Kastner, 2015; Fries, 2015). After stimulus onset, we found that attention induced desynchronization 406
first in the α and then in β-band (Klimesch et al., 2007, 2001; Mazaheri and Picton, 2005; Pascucci et 407
al., 2018; Schmiedt et al., 2014). These stimulus-evoked effects co-occurred with a sequence of 408
frequency-specific changes in network topology, starting with enhanced network efficiency in the γ-409
band (~150–200 ms), followed by reduced efficiency in the α and β-band (after 240 ms). This later 410
decrease of network integration may suggest a return to more local and sparse computations after the 411
critical time of attention-mediated processing. 412
Task-specific attentional modulations involved more local phenomena, characterized by increased 413
coupling between lower frequencies and γ-band activity. These effects were selective for functionally 414
specialized regions (in V5-MT for motion, in V1 for orientation) during both pre- and post-stimulus 415
time: task-relevant regions showed both anticipatory increases in β-γ coupling and reactive increases 416
in α-γ coupling. Based on the well-known specialization of these regions in processing the two types 417
of stimulus’ features used (Ahlfors et al., 1999; Bosking et al., 1997; Koelewijn et al., 2011; 418
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Schoenfeld et al., 2007; Simoncelli and Olshausen, 2001), these results support the view of PAC and 419
nested oscillations as regulatory mechanisms for the local analysis and feedforward communication of 420
relevant sensory signals (Jensen and Mazaheri, 2010; Pascucci et al., 2018). 421
In this work, we provide first evidence of a sequential relationship between anticipatory increases in β-422
γ PAC and stimulus-evoked α-γ coupling. These two local phenomena may be linked to precise 423
endogenous and exogenous components of attentional processing: pre-stimulus anticipatory effects 424
could promote the endogenous reactivation of task-specific content in sensory circuits (Spitzer and 425
Haegens, 2017), whereas post-stimulus coupling may reflect the enhanced processing of relevant 426
exogenous signals (e.g., target stimuli) (Bonnefond and Jensen, 2015; Jensen and Mazaheri, 2010). 427
Theories of communication based on nested oscillations propose that low-frequency carriers in the 428
theta (θ, 3–7 Hz), α or β-band establish inter-areal communication at larger scales, by mediating local 429
excitability (reflected by γ-band activity) (Bonnefond et al., 2017). Cross-frequency coupling at the 430
local level, therefore, would coordinate γ-band activity and information routing at different scales 431
(Buzsáki, 2006; Buzsáki and Wang, 2012; Canolty et al., 2006; Canolty and Knight, 2010; Jensen and 432
Colgin, 2007; Penny et al., 2008; Voytek et al., 2010). Here we show that local integration and 433
network efficiency at the carrier frequency can be also a determinant of local coupling and information 434
flow. This was evident in the task-specific anticipatory increase of β-band local efficiency, which 435
showed a positive relationship with the degree of β-γ PAC enhancement due to attention. Stimulus-436
evoked α-γ PAC, however, did not correlate with network properties, but was instead driven solely by 437
α-band desynchronization. This indicates a different mechanism that may emerge upon the release 438
from inhibition. Adding on the gating-by-inhibition framework (Mazaheri and Jensen, 2010), we 439
found that the effects of the release from inhibitory gating are selective to the upcoming tasks, 440
occurring exclusively in cortical regions encoding task-relevant features. A compelling question for 441
future investigations is whether these distinct mechanisms of local cross-frequency coupling 442
(anticipatory β-driven, reactive α-driven) underlie also the attentional selection based on whole-object 443
representations, for example of faces and houses via selective involvement of the fusiform face area 444
and parahippocampal place area, respectively. 445
For functional connectivity analyses, we employed state-of-the-art multivariate methods (Baccalá and 446
Sameshima, 2014), and a recently developed adaptive filter that was specifically designed for fast-447
changing signals like VEPs (Pascucci et al., 2019). While we considered a large-scale network of 22 448
brain-wide cortical regions for our analyses, one potential limitation is linked to unobserved common 449
inputs (Bastos and Schoffelen, 2016; Pagnotta et al., 2018a). Previous studies revealed that the 450
pulvinar and mediodorsal thalamus play a role in attentional control in non-human primates 451
(Fiebelkorn et al., 2019; Saalmann et al., 2012). We did not include the thalamus as a ROI, due to the 452
EEG intrinsic limitations in accurately reconstructing subcortical activity (although see Seeber et al., 453
2019). Hence, our results provide solely an account for the cortico-cortical interactions in mediating 454
selective attention. In the future, the use of invasive recordings in clinical populations and implanted 455
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patients may provide further insights about the role of subcortical structures and thalamo-cortical 456
interactions in controlling attention and other cognitive functions. 457
4. Methods 458
4.1. Participants 459
Twenty healthy human participants (13 female; all right-handed; ages 19–34 y, M=23.25, SD=4.15) 460
with normal or corrected-to-normal vision (visual acuity across participants 1.10–1.63, M=1.40, 461
SD=0.19; Freiburg visual acuity test (Bach, 1996)) took part in the study for monetary compensation 462
(20.– CHF/hour). The study was performed in accordance with the Declaration of Helsinki on 463
“Medical Research Involving Human Subjects” and after approval by the responsible ethics committee 464
(Commission cantonale d'éthique de la recherche sur l'être humain, CER-VD). Written informed 465
consent was obtained from each participant prior to the experimental sessions. Data from one 466
participant (male, age = 22) were excluded because of excessive artifacts in the EEG. 467
4.2. Experimental design 468
Visual stimuli were Random Dot Kinematograms (RDK: 10° field-size, 1200 dots, 0.2° dot-size, 469
infinite dot-life, and 4°/s dot-speed), that were contrast-modulated through a Gaussian-windowed 470
sinusoidal grating (Gabor: 6° width at 3 SDs, and 0.5 cycles/° spatial frequency), such that the Gabor 471
determined the visible region of the RDK and its spatial pattern of contrast (Figure 1A). The 472
orientation of the Gabor ranged between 45° and -45° off-vertical, and phase varied randomly at every 473
trial. In the RDK, a subset of dots moved coherently either towards left or towards right (signal-dots), 474
while the remaining dots moved with random walks (noise-dots), in such a way that their direction 475
varied at every frame but their speed was kept constant. Stimuli were presented on a gray background 476
for 300 ms always at the same spatial location, around a central fixation spot that was constantly on 477
the screen (0.2° size, and (0,0,160) color in RGB digital 8-bit notation). The inter-trial interval (ITI) 478
was randomly varied between 800 and 1000 ms. The generation and presentation of the visual stimuli 479
was performed using a combination of in-house Python codes and PsychoPy Builder (Peirce et al., 480
2019). 481
The study consisted of three separate experimental sessions: one behavioral (approx. 45 minutes), one 482
EEG (approx. 60 minutes), and one session of fMRI (approx. 45 minutes). In all sessions, the 483
participants were asked to performed different tasks on the same type of visual stimuli. The behavioral 484
session comprised two different tasks in separate blocks (100 trials), requiring a two-choice response. 485
At the beginning of each block, participants were either instructed to report the perceived motion 486
direction in the RDK (left vs. right, motion discrimination task), or the off-vertical tilt of the Gabor 487
(left vs. right, orientation discrimination task), by pressing the corresponding key on a keyboard. The 488
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aim of the behavioral session was to determine individual thresholds for coherent motion and 489
orientation discrimination, in order to level performance for the two tasks in the EEG and fMRI 490
sessions, keeping accuracy at 82% of correct responses for both tasks. Thresholds were estimated 491
using an adaptive staircase procedure (Watson and Pelli, 1983). We used starting values of 60% for 492
signal-dots and 4° for angle of orientation, while the task-irrelevant feature was kept constant during 493
the staircase procedure (40% of signal-dots in the orientation discrimination task and ±3° off-vertical 494
in the motion discrimination task). This allowed to obtain individual discrimination thresholds at the 495
same level of accuracy across participants, both for the motion discrimination task (signal-dots 496
percentages 10.61–89.82, M=44.50, SD=29.09) and for the orientation discrimination task (angles of 497
orientation 1.53°–4.30°, M=2.45°, SD=0.72°). These individually calibrated values were used to define 498
stimuli in the subsequent EEG and fMRI sessions. 499
During neuroimaging sessions, participants also performed an additional control task, where they had 500
to report sporadic color changes in the fixation spot lasting 200 ms (from dark blue to red, 30% of 501
trials; Figure 1A) by pressing a response button. To ensure that the timing of these color changes was 502
unpredictable, we presented them at any time during the trial, randomly. Trials in which the color 503
change overlapped with visual stimuli appearance were excluded from the successive analyses. This 504
design resulted in two conditions in which the RDK was task-relevant (motion and orientation 505
discrimination) and one condition where it was task-irrelevant (color change detection). We refer to 506
these different task conditions as Attended (Attended-motion and Attended-orientation) and 507
Unattended, indicating the type of attentional processing required for the visual stimuli. The EEG 508
session consisted of 160 trials divided in 4 blocks for each of task condition (12 blocks in total). Small 509
breaks were offered between blocks. The fMRI session followed a similar block structure, but with 510
less trials (48 trials per task condition). A fixed 12 s break was presented after each block, following 511
the instruction to “REST” (Rest period), with the exception of the last Rest period that lasted 60 s. 512
Task order was counterbalanced across participants in each of the three experimental sessions. 513
Participants had a limited time to respond (1500 ms), after which the response for that trial was 514
considered incorrect. 515
4.3. MRI materials and procedures 516
4.3.1. Data acquisition and preprocessing 517
MRI data were collected using a Discovery MR750 3.0T (GE Healthcare, Chicago, USA) at the 518
cantonal hospital, HFR Fribourg. First, functional data were collected with T2*-weighted EPI 519
sequence with 40 slices each, 3 mm slice-thickness, 0.3 mm spacing between slices, interleaved 520
bottom-up slice acquisition, anterior-to-posterior phase encoding direction, 2500 ms repetition rime 521
(TR), 30 ms echo time (TE), and 85° flip-angle. The first 4 volumes of each run were discarded from 522
analyses. Functional data acquisition was performed while each participant performed the visual 523
discrimination tasks. Behavioral responses were collected using an MRI-compatible fiber optic 524
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response pad (Current Designs Inc., Philadelphia, USA). Stimuli were presented on a NordicNeuroLab 525
(Bergen, NO) MRI-compatible LCD monitor (32 inches diagonal size, 1920 x 1080 resolution, 405 526
c/m2 surface luminance, 4000:1 contrast, 60 Hz refresh rate, 6.5 ms response time), placed above the 527
scanner-bed at a distance of 244 cm from the participant’s eyes and visible to the participant through a 528
mirror placed on the head coil. Participants who needed optical correction (e.g., for myopia) wore 529
MRI-compatible glasses with the appropriate lenses. Next, an anatomical whole-head image was 530
acquired using a T1-weighted BRAVO 3D sequence with 280 slices, 1 mm isotropic voxels, 730 ms 531
TR, 2.8 ms TE, 9° flip-angle, 256 x 256 mm2 field of view (FOV), and 900 ms inversion time (TI). 532
The preprocessing of both functional and structural images was performed using the Statistical 533
Parametric Mapping (SPM) toolbox (Penny et al., 2011), in its SPM12 version (University College 534
London, London, UK; https://www.fil.ion.ucl.ac.uk/spm/). Functional images were first aligned to the 535
mean of each session using a two-pass realignment procedure for motion correction, and successively 536
a slice-timing correction was applied (Sladky et al., 2011). After realignment, the mean functional 537
image was coregistered to the anatomical image using the normalized mutual information as cost 538
function. The standard segmentation procedure in SPM12 was applied to obtain individual masks for 539
cerebrospinal fluid (CSF) and white matter (WM), which were used to extract the time courses of CSF 540
and WM signals for each participant. At last, all images were normalized to the Montreal Neurological 541
Institute and Hospital (MNI) stereotaxic space using a fourth-order B-spline interpolation, and 542
smoothed with a Gaussian filter (8 mm FWHM kernel). 543
4.3.2. fMRI statistical analysis 544
A two-stage approach based on a general linear model (GLM) was employed to analyze the functional 545
images (Friston et al., 1994). In this approach, the first-level analysis was implemented using a block 546
design with four regressors of interest, each modeled with a boxcar function convolved with the 547
canonical hemodynamic response function (HRF). Four regressors of interest were defined to model 548
the two Attended conditions (Attended-motion and Attended-orientation), the Unattended condition, 549
and Rest periods. The GLM included also a set of nuisance regressors that modeled the six motion 550
realignment parameters, the mean signals in CSF and WM, and a constant term. Finally, a high-pass 551
filter (200 s cutoff) was applied to the functional images time series, which allowed removing noise at 552
very low frequencies. At the first-level individual analysis, two contrasts were considered to obtain 553
task-related activation maps: i) “Attended vs. Unattended”; ii) “Attended vs. Rest”. The difference 554
between the two Attended conditions and the Unattended was computed for the first contrast, which 555
allowed identifying areas that were differentially active across task-relevant and task-irrelevant 556
conditions (two-tailed test). The second contrast was based on the difference between Attended 557
conditions and Rest period, which allowed identifying areas more strongly engaged by the tasks (one-558
tailed test). The second-level group analysis was implemented on the previously obtained statistical 559
maps and involved voxel-wise t-test comparison across participants. Here, participants were modeled 560
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as random effects, and statistical significance was assessed at the group-level using an uncorrected 561
voxel-based threshold p<0.001, together with a minimum cluster-size of 5 voxels (Figure 3A–B). The 562
results of this procedure were used to extract ROIs for source-space EEG analyses (see below). 563
4.4. EEG materials and procedures 564
4.4.1. Data acquisition and preprocessing 565
EEG recordings were collected at the Department of Psychology, University of Fribourg. During the 566
EEG session, participants were sitting inside a dark shielded room, with their head leaning on a 567
chinrest positioned at 71 cm from a VIEWPixx /EEGTM (VPixx Technologies Inc., Saint-Bruno, CA) 568
LCD monitor (24 inches diagonal size, 1920 x 1080 resolution, 100 cd/m2 luminance, 120 Hz refresh 569
rate, 1 ms pixel response time). A 2-button RESPONSEPixx response box (VPixx Technologies Inc.) 570
was plugged into the monitor and used by the participants during the visual tasks. EEG data were 571
acquired using a 128-channel ActiveTwo EEG system (Biosemi, Amsterdam, NL). Data acquisition 572
was performed at a sampling rate of 1024 Hz, and signals were referenced to the Common Mode 573
Sense (CMS) active electrode, which together with the Driven Right Leg (DRL) passive electrode 574
formed a feedback loop in the system. This CMS/DRL loop allow to drive the common-mode voltage 575
as close as possible to the ADC reference voltage in the AD-box, and to obtain an extra 40 dB 576
common-mode rejection ratio at 50 Hz, when compared with using normal ground electrodes with 577
same impedance. At the end of the EEG session, the 3D coordinates of the positions of the electrodes 578
were localized for each participant using an ELPOS system (Zebris Medical GmbH, Isny im Allgäu, 579
DE). These individual electrodes’ positions were used for EEG source reconstruction procedure (see 580
section 4.5). 581
EEG preprocessing was performed using a combination of EEGLAB (Delorme et al., 2011; Delorme 582
and Makeig, 2004), its plugins, and in-house scripts implemented in MATLAB (The MathWorks Inc., 583
Natick, USA). Data were first downsampled to 500 Hz using an anti-aliasing filter with 125 Hz cutoff 584
frequency and 50 Hz transition bandwidth. Afterwards, the data were detrended using high-pass 585
filtering (1 Hz low-frequency cutoff), as implemented in the PREP plugin (Bigdely-Shamlo et al., 586
2015). Line noise and its harmonics were reduced using the adaptive filtering technique implemented 587
in the EEGLAB plugin CleanLine (https://www.nitrc.org/projects/cleanline), which allows identifying 588
and removing significant sinusoidal artifacts. Epochs were extracted using the time window -1500–589
1000 ms around stimulus onset. Noisy EEG channels were identified by visual inspection and 590
removed before proceeding to the subsequent preprocessing steps (number of removed channels across 591
participants 12–21, M=15.85, SD=2.64). Epochs contaminated by noise artifacts and eye movements 592
artifacts, e.g., eye blinks occurring within 500 ms from stimulus presentation (either before or after), 593
were also rejected by visual inspection (percentage of rejected epochs across participants 12.50–594
38.95%, M=23.01, SD=7.49). Decomposition of EEG data by independent component analysis (ICA) 595
was performed using the FastICA algorithm (Hyvärinen and Oja, 2000). ICA components identified as 596
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eye artifacts or muscular activity artifacts were removed from the data (number of removed 597
components across participants 5–23, M=10.30, SD=4.09). As final preprocessing steps, noisy EEG 598
channels were interpolated using a spherical spline interpolation (Perrin et al., 1989); then, the signals 599
were re-referenced to the common average reference (Lehmann and Skrandies, 1980). We excluded 600
trials with incorrect responses, and the amount of trials across task conditions was balanced within-601
subjects (number of trials per task condition across participants 74–127, M=103.5, SD=15.3). This 602
choice was motivated by the fact that functional connectivity analysis can be sensitive to the amount 603
of trials (Astolfi et al., 2008; Toppi et al., 2012), and consequently an imbalance of trials between task 604
conditions may create spurious differences from comparing them. 605
4.4.2. Visual-evoked potentials and power spectra 606
The VEPs of each participant were obtained by separately averaging the epochs of the three task 607
conditions. VEPs analysis was confined to three clusters on sensor-space: centro-occipital (CO), left 608
occipito-temporal (lOT) and right occipito-temporal (rOT). Each electrode-cluster comprised 7 609
electrode sites from the 128-channel Biosemi cap, using the same subdivision adopted in Daffner et al. 610
(2012). Each trial was baseline corrected before computing VEPs, using the 200 ms pre-stimulus 611
interval as baseline. A repeated-measures ANOVA was employed to compare the three task conditions 612
in each of the pre-selected sensor-space macro-area. Statistical significance was assessed at alpha-level 613
of 0.05, using false discovery rate (FDR) correction for multiple comparisons (Benjamini and 614
Hochberg, 1995). In addition, a temporal stability criterion was imposed on the results so that only 615
significant results that exhibited stability over at least 5 time frames (10 ms) survived. Post-hoc 616
analysis was carried out using the Fisher–Hayter procedure (Hayter, 1986), in each of the time 617
intervals that showed a statistically significant difference from the repeated-measures ANOVA. 618
Power spectral density analysis was performed on sensor-space time series in two time windows of 619
interest: pre-stimulus (anticipatory) and post-stimulus (reactive). The anticipatory window was defined 620
as the last 300 ms before stimulus onset. The reactive window was selected as the interval 200–500 ms 621
after stimulus onset, because it is when strong stimulus-induced power changes are typically observed 622
at low-frequencies (Klimesch et al., 2007, 2001; Mazaheri and Picton, 2005; Schmiedt et al., 2014). 623
Power spectrum at each electrode location was estimated in the frequency range 1–100 Hz, using a 624
multitaper method based on orthogonal tapers given by Slepian sequences, whose complete 625
description and MATLAB implementation were provided in previous works (Mitra and Pesaran, 1999; 626
Pagnotta et al., 2018a, 2018b). In this approach, the time-bandwidth product (NW) regulates the trade-627
off between variance and bias of the spectral estimates. To accommodate for the different 628
characteristics of the spectral components at low and high frequencies, two distinct time-bandwidth 629
products were here used for frequencies up to 45 Hz (NW=3) and for frequencies above 45 Hz 630
(NW=16). Attended and Unattended conditions were compared by using a cluster-based permutation 631
approach over frequencies and EEG electrodes locations, with 30 mm maximum distance to define 632
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neighboring electrodes. In this and every other analysis using a cluster-based permutation approach, to 633
compare Attended and Unattended conditions, we employed the same settings: two-tailed t-test 634
(p<0.05), 50000 permutations, and p<0.05 for the permutation test (Maris and Oostenveld, 2007). 635
4.5. EEG source reconstruction 636
Source reconstruction techniques enable to estimate and localize the EEG sources of brain electrical 637
activity, by solving first a forward problem and then an inverse problem (Michel et al., 2004). For the 638
forward problem, the volume conduction model of each participant was constructed using a boundary 639
element method (BEM) (Hamalainen and Sarvas, 1989), which employed the information about 640
boarder surfaces between three different tissue-types: scalp, skull and brain. These surfaces were 641
obtained from a segmentation procedure of the individual-participant anatomical MRI, using a 642
Gaussian kernel for smoothing (5 voxels FWHM). The participant-specific 3D electrode coordinates 643
(see section 4.4.1) were aligned to the head model of the same participant using an interactive re-644
alignment procedure, followed by a projection of electrodes onto the head surface. For group analyses 645
on source-reconstructed EEG data, we employed a template grid based on MNI template anatomical 646
MRI to define the solution points. The template comprised 1725 source-points (equivalent current 647
dipoles) with 10 mm spacing, and was constrained to be within the cortical gray matter. Individual 648
MRIs were warped to the template, and the inverse of this warping procedure was applied to the 649
template grid. This procedure provided participant-specific grids that were no longer regularly spaced, 650
but that became equivalent across participants in normalized MNI space, facilitating group analysis on 651
source-space. Finally, individual lead field matrices were computed considering an unconstrained-652
orientation forward operator, i.e., each solution point was modeled as three orthogonal equivalent 653
current dipoles placed at that location. 654
To solve the EEG inverse problem, we employed the linearly constrained minimum variance (LCMV) 655
beamformer (Van Veen et al., 1997). The LCMV belongs to the family of spatial filtering methods and 656
its implementation relies on the use on an estimate of the sensor-space covariance matrix, which was 657
here estimated from the time window -500–500 ms around stimulus onset. Source-reconstructed 658
signals were extracted from 22 cortical ROIs using an approach based on singular value 659
decomposition (SVD), estimating scalar-value time series that explain most of the variability across 660
dipoles in each ROI (Rubega et al., 2019). The ROIs were defined with an automatic procedure, 661
starting from the spatially segregated cluster-peaks obtained from the fMRI statistical analysis (Figure 662
3A–B). First, each fMRI cluster-peak was used as the center of a sphere of 15 mm radius. Then, all 663
solutions points inside the sphere were selected, and tissue-type consistency was verified using the 664
automated anatomical labeling (AAL2) atlas parcellations defined in MNI space, so that only the 665
solution points that fell within the atlas areas were kept. This procedure allowed us to uniquely 666
identify each ROI, in such a way that no solution points were shared across ROIs. Table 2 lists the 22 667
ROIs (Figure 3C–E). As final step, an approach based on innovations orthogonalization was used for 668
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leakage correction (Pascual-Marqui et al., 2017). This orthogonalization approach allowed reducing 669
the detrimental effects on functional connectivity analyses of zero-lag cross-correlations, which are 670
due to instantaneous linear mixing between source-reconstructed signals (source leakage) and are 671
known to produce spurious functional connectivity estimates (Anzolin et al., 2019). All the steps of 672
EEG source reconstruction were implemented using in-house MATLAB codes and routines from 673
FieldTrip (Oostenveld et al., 2011) (Radboud University, Nijmegen, NL; 674
http://www.ru.nl/neuroimaging/fieldtrip). 675
4.6. Time-varying power spectra 676
To investigate local brain rhythms modulations depending on whether the stimuli were relevant or not, 677
time-varying power spectra were estimated from source-reconstructed signals of all ROIs using a 678
Morlet wavelet transform with central frequency parameter ω0 = 6, in combination with zero-padding 679
to solve the problem of edge effects (Torrence and Compo, 1998). Time-varying spectral estimates 680
were estimated in the frequency range 1–100 Hz. This procedure was performed for each participant 681
and task condition using the MATLAB codes made available in Pagnotta et al. (2018b), after 682
subtracting the ensemble mean across trials from single-trial data, which allows minimizing the 683
influence of evoked responses on power spectra (Kalcher and Pfurtscheller, 1995; Rajan et al., 2018). 684
A cluster-based permutation approach was used to compare time-varying power spectra of Attended 685
and Unattended conditions, over time frames (-50–600 ms around stimulus onset) and frequencies (1–686
100 Hz). 687
4.7. Local cross-frequency coupling 688
4.7.1. Anticipatory (pre-stimulus) cross-frequency coupling 689
Cross-frequency coupling was measured in terms of dependence between phase of low-frequency 690
oscillations and amplitude of high-frequency oscillations, called phase-amplitude coupling or PAC. 691
Among the available types of cross-frequency coupling, we employed the PAC because of its more 692
clear functional role and physiological plausibility (Canolty and Knight, 2010; Voytek et al., 2010). 693
Several approaches have been proposed to measure PAC (Canolty et al., 2006; Martínez-Cancino et 694
al., 2019; Penny et al., 2008; Tort et al., 2010; Voytek et al., 2013). We here employed the modulation 695
index based on GLM (Penny et al., 2008) to calculate within-region PAC before stimulus onset, using 696
the toolbox from Martínez-Cancino et al. (2019). The ensemble mean was preliminary subtracted from 697
single-trial data for each participant and task condition before PAC estimation. The analysis was 698
restricted to the subset of 9 occipito-temporal ROIs. The central frequency for the phase time series 699
(fPHASE) ranged from 4 Hz to 30 Hz in 1Hz-steps, and the higher central frequency for the amplitude 700
time series (fAMPLITUDE) ranged from 40 Hz to 100 Hz in 2Hz-steps. The bandwidth of the band-pass 701
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filters to estimate the phase time series (BWPHASE) and the amplitude time series (BWAMPLITUDE) were 702
defined according to the following expressions: 703
𝐵𝑊!"#$%(𝐻𝑧) = 𝑓!"#$% − 1, 𝑓!"#$% + 1𝐵𝑊!"#$%&'()(𝐻𝑧) = 𝑓!"!"#$%&' − 𝑓!"#$% + 1 , 𝑓!"#$%&'() + 𝑓!"#$% + 1
(1)
Filtering was applied to the pre-stimulus interval (-300–0 ms), using two buffer windows of 1850 ms, 704
before and after the interval of interest. Each buffer window consisted of 600 ms of observed signal 705
and the rest zeros, such that filtering was applied every time to a 4000 ms window. A combination of 706
high-pass and low-pass finite impulse response (FIR) filters was employed to band-pass filter the data 707
in the frequency bands of interest. Next, the Hilbert transform was applied to extract the analytic 708
signals from which instantaneous low-frequency phase and high-frequency amplitude time series were 709
estimated, which allowed computing PAC in the time window of interest using the GLM-based 710
method. This procedure was repeated for every combination of fPHASE and fAMPLITUDE, in each trial. The 711
averages across trials of PAC estimates were compared over all pairs of fPHASE and fAMPLITUDE between 712
Attended and Unattended conditions, using a cluster-based permutation approach. We excluded from 713
the analysis all the fPHASE–fAMPLITUDE pairs for which BWAMPLITUDE overlapped with BWPHASE. 714
Since strong imbalances in the power spectra between conditions can lead to spurious PAC differences 715
(Aru et al., 2015), a control analysis based on a stratification procedure was performed separately for 716
each ROI using the ft_stratify function from FieldTrip (Oostenveld et al., 2011), with 1000 iterations. 717
At each iteration, this procedure selects subsets of trials from the two conditions with matched 718
distributions of power spectra across trials, for both phase and amplitude frequency bands. Balanced 719
numbers of trials between conditions were maintained during this procedure. The final estimates from 720
this control analysis were obtained as the median across iterations of the power-balanced estimates, 721
and these were compared between Attended and Unattended conditions using the cluster-based 722
permutation. The control analysis based on stratification was used to confirm the between-condition 723
differences in pre-stimulus PAC. 724
4.7.2. Reactive (post-stimulus) cross-frequency coupling 725
A measure of stimulus-evoked cross-frequency coupling was computed for each task condition using 726
the instantaneous phase-locking value (PLV) between the low-frequency phase and the phase of 727
amplitude-filtered high-frequency signal (Lachaux et al., 1999; Pascucci et al., 2018). As in the pre-728
stimulus analysis, the ensemble mean was preliminary subtracted from single-trial data for each 729
participant and task condition, and the estimation was performed on the 9 occipito-temporal ROIs. 730
Time-varying PLV estimates were obtained at each time frame by averaging the instantaneous 731
contributes across trials. The analysis was performed on the interval 0–500 ms after stimulus onset, 732
using two buffer windows (before/after), each of 1450 ms length (including 300 ms of observed 733
signal). Low-frequency ranges were separately defined in α and β-band, as fPHASE = 10 Hz and fPHASE = 734
20 Hz for the comparison between Attended-motion and Unattended, and as fPHASE = 8 Hz and fPHASE = 735
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17 Hz for the comparison between Attended-orientation and Unattended. These values were selected 736
in data-driven way, on the basis of the task-specific results obtained by comparing time-varying power 737
spectra (Figure 2D and Figure S1D). For the amplitude time series, fAMPLITUDE ranged from 50 Hz to 738
100 Hz in 2Hz-steps. The bandwidths of the two band-pass filters were chosen using the expressions 739
in equation (1) (see section 4.7.1). The procedure of filtering (FIR-based) and analytic signals 740
extraction (using Hilbert transform) was carried out as previously done for the anticipatory PAC 741
analysis. A cluster-based permutation approach over time frames and amplitude high-frequencies was 742
employed to compare PLV estimates between Attended and Unattended conditions. 743
4.8. Large-scale network analyses 744
To estimate the functional interactions among brain regions we used the information form of partial 745
directed coherence (iPDC) (Takahashi et al., 2010). The iPDC is based on the notion of Granger-746
Geweke causality (Geweke, 1984; Granger, 1969), which relies on the concepts of temporal 747
precedence and statistical predictability between simultaneously recorded time-series, extended to the 748
spectral-domain (Seth et al., 2015). Computationally the iPDC is derived from a multivariate 749
autoregressive (MVAR) model with a certain order, which determines the number of past observations 750
included in the model. To derive iPDC estimates the MVAR coefficients are Fourier transformed, 751
appropriately weighted by noise covariance matrix contributes to overcome the scale-variance 752
problem, and finally normalized (Baccalá and Sameshima, 2014). The iPDC is a measure of the 753
partialized delayed functional interactions between brain regions, which is able to characterize the 754
interaction directionality between two regions (directed measure), as well as discerning direct from 755
indirect or mediated paths of connections (directness). More precisely, the iPDC from the j-th time 756
series to the i-th time series is equivalent to the squared coherence between the innovation process 757
associated with i and the partialized version of j, which via appropriate logarithmic expression and 758
integration provides the mutual information rates between these two processes (Baccalá and 759
Sameshima, 2014; Takahashi et al., 2010). In the present study, the iPDC was used as measure of the 760
frequency-specific, directed connections between ROIs, and all connectivity analyses were performed 761
on source-reconstructed time series, because analyses applied on EEG sensor-space time series do not 762
allow any meaningful interpretation in terms of interacting brain sources (Brunner et al., 2016; Van de 763
Steen et al., 2016). 764
4.8.1. Anticipatory (pre-stimulus) functional connectivity 765
To investigate the anticipatory network-level modulations of attention, we performed a directed 766
functional connectivity analysis on the pre-stimulus interval (-300–0 ms). Preprocessing included a 767
signal decimation by a factor of 2 (new sampling rate of 250 Hz), the removal of temporal mean and 768
ensemble mean from single-trial data to meet zero-mean assumptions, and the use of the augmented 769
Dickey–Fuller test for stationarity as implemented in the Oxford MFE Toolbox 770
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(https://www.kevinsheppard.com/code/matlab/mfe-toolbox/). The optimal model order for each 771
participant was selected by first identifying the value that minimized the difference between power 772
spectra obtained from parametric MVAR-modeling and those obtained using a nonparametric 773
approach based on multitaper (see section 4.4.2), in each task condition separately, and then selecting 774
the maximum value across task conditions (model orders across participants 7–18, M=14.05, 775
SD=3.27). These individual-participants’ fixed values were then used for analysis. A stepwise least 776
squares MVAR model estimation was then performed on source-reconstructed signals to derive iPDC 777
estimates in the network of 22 ROIs, for each task condition. The iPDC estimates were computed in 778
the frequency range 1–100 Hz (in 1Hz-steps). 779
Measures from graph theory were used to characterize large-scale topological properties of the 780
frequency-specific, directed functional networks in the different task conditions (Rubinov and Sporns, 781
2010). Each ROI was considered as a node in the graph and two measures were estimated: global 782
efficiency and local efficiency. The network’s global efficiency is the average inverse shortest path 783
length and indicates the level of global functional integration in the network (Latora and Marchiori, 784
2001). The single node’s local efficiency is the global efficiency of the local subgraph comprising all 785
its immediate neighbors (Latora and Marchiori, 2001), and the network’s local efficiency is computed 786
as average efficiency of all local subgraphs, which represents the level of local integration within 787
subgraphs. High local efficiency suggests functional segregation within the network (Rubinov and 788
Sporns, 2010). Both global efficiency and local efficiency were computed for each participant and task 789
condition from the full matrix of iPDC estimates, i.e., from a fully-connected, weighted and directed 790
adjacency matrix. Subgraphs and nodes’ neighbors were thus determined by the interaction strengths: 791
the stronger the connection weight between two nodes, the closer they were (functionally). 792
When we consider global and local efficiency derived from iPDC-based graphs, we can talk about 793
frequency-specific levels of functional integration among brain regions, respectively globally and 794
within subgraphs, for two reasons. First, the iPDC has a clear interpretation in terms of between-795
processes mutual information rates, providing an association with the notion of information flow 796
(Baccalá and Sameshima, 2014; Takahashi et al., 2010). Second, thanks to its partialization approach, 797
the iPDC provides the directness of functional connections. It is therefore reasonable to characterize 798
the cascades of these direct connections as paths of integration between regions, unlike when using 799
classical measures such as cross-correlations and spectral coherence (Rubinov and Sporns, 2010). 800
Each graph measure was separately compared between Attended and Unattended conditions (two-801
tailed t-test, p<0.05, with FDR correction). Graph measures were derived using the Brain Connectivity 802
Toolbox (Rubinov and Sporns, 2010) (http://www.brain-connectivity-toolbox.net). All the other steps 803
of the functional connectivity analysis were performed using in-house scripts implemented in 804
MATLAB. 805
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4.8.2. Reactive (post-stimulus) functional connectivity 806
To accommodate the non-stationarity of VEP signals and obtain time-varying functional interactions 807
among brain regions, the iPDC can be derived from a time-varying MVAR (tvMVAR) model of the 808
signals, which can be computed using adaptive algorithms (Arnold et al., 1998; Milde et al., 2010; 809
Pagnotta and Plomp, 2018). This procedure allows obtaining iPDC estimates over frequencies and 810
time frames. Time-varying iPDC estimates were computed in the interval -1500– 800 ms around 811
stimulus onset, for each participant and task condition, after decimating single-trial data by a factor of 812
two and subtracting their temporal and ensemble means. We performed tvMVAR modeling with the 813
Self-Tuning Optimized Kalman filter (STOK) algorithm (Pascucci et al., 2019), using a percentage of 814
variance explained of 99% for setting the filtering factor threshold (Hansen, 1987). Similarly to the 815
anticipatory connectivity analysis, the model order was selected by comparing parametric and 816
nonparametric power spectra in the post-stimulus interval 0–500 ms (model orders across participants 817
11–21, M=17.53, SD=2.76). 818
Measures of time-varying global efficiency and local efficiency were estimated in the time window -819
20–500 ms in three frequency bands of interest (α, β, and γ-band). For each frequency band, the time-820
frequency iPDC estimates were first averaged over frequency bins inside that band, then used to derive 821
time-varying global efficiency and local efficiency, and finally compared between Attended and 822
Unattended conditions (paired sample t-test, p<0.05 with FDR correction). For the comparison 823
between Attended-motion and Unattended, the frequency bands were selected as 8–12 Hz (α-band), 824
17–23 Hz (β-band), and 70–95 Hz (γ-band), based on the results on time-varying power spectra 825
(Figure 2D) and α-γ PAC (Figure 6A). For the comparison between Attended-orientation and 826
Unattended, the frequency bands were 6–10 Hz (α-band), 14–20 Hz (β-band), and 65–95 Hz (γ-band) 827
(Figure S1D and Figure 6B). 828
4.9. Correlation between local network properties and PAC 829
In cortical regions that showed significant anticipatory changes in PAC, we investigated whether there 830
was a relationship between the local PAC and the local network properties of that region, as revealed 831
by the single-node’s local efficiency. In each region, we identified the cluster of fPHASE–fAMPLITUDE pairs 832
that showed significant differences between Attended and Unattended conditions (Figure 5), which 833
allowed defining also the significant frequency ranges for fPHASE and fAMPLITUDE. For example, from the 834
comparison between Attended-motion and Unattended in region V5-R the significant cluster is 835
highlighted in opaque red in Figure 5A (β-γ PAC), and the two significant ranges are 24–27 Hz for 836
fPHASE (β-band) and 54–80 Hz for fAMPLITUDE (γ-band). Participant-specific PAC estimates were 837
averaged over the significant cluster, separately for Attended-motion and Unattended, and a variation 838
in PAC (ΔPAC) was computed as the difference between Attended-motion and Unattended, 839
normalized by the latter. In a similar way, but separately for the two significant ranges for fPHASE and 840
fAMPLITUDE (in the example, β-band and γ-band), participant-specific estimates of the region’s local 841
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efficiency were averaged over each significant range, separately for Attended-motion and Unattended, 842
and a variation in single-node local efficiency (ΔElocal) was computed as the difference between 843
Attended-motion and Unattended, normalized by the latter. We estimated the correlation between 844
ΔPAC and ΔElocal across participants using the Spearman's rank correlation coefficient. Outliers were 845
removed using a robust regression with bisquare weighting function, as implemented in robustfit 846
function in MATLAB, on the basis of the studentized residuals (t-distribution with 17 degrees of 847
freedom, p<0.05). The same analysis was performed for the comparison between Attended-orientation 848
and Unattended, focusing on the set of regions that showed significant anticipatory differences in PAC 849
(Figure 5B). 850
Acknowledgements 851
This study was supported by the Swiss National Science Foundation (grant PP00P1_157420; G.P.). 852
The authors declare that the study has been conducted in the absence of any conflict of interest. 853
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Supplementary figures 1212
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1214 Figure S1. Attentional modulation of brain rhythms: comparison between Attended-orientation and Unattended. 1215 Results of sensor-space power spectra analysis are shown for anticipatory (A) and reactive (C) time intervals. Each figure 1216 represents the distribution of statistically significant differences (positive t-values for Attended-orientation higher than 1217 Unattended, and vice versa negative t-values) from cluster-based permutation (two-tailed t-test with p<0.05, 50000 1218 permutations, and p<0.05 for the permutation test), together with the topographical distributions of these differences in the α-1219 band (bottom) and β-band (top). B) The polar histogram represents the effect sizes for each ROI of source-space power 1220 differences between conditions in the β-band (15–30 Hz). D) The figure shows the results of source-space time-varying 1221 power spectra analysis, with the distribution of statistically significant differences from cluster-based permutation (two-tailed 1222 t-test with p<0.05, 50000 permutations, and p<0.05 for the permutation test). The marginal plots show time- or frequency-1223 collapsed distributions of significant differences in power spectra. The polar histograms on the right represent the effect sizes 1224 for each ROI of power differences between conditions, in the following frequency bands: α (5–12 Hz), β (15–30 Hz), and γ 1225 (45–100 Hz). Effect sizes were estimated using Cohen's d (Cohen, 1992). 1226
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1229 Figure S2. Anticipatory differences in local PAC: control analysis based on stratification (1000 iterations). Differences 1230 in within-region anticipatory PAC are shown for each pair fPHASE– fAMPLITUDE, for Attended-motion compared to Unattended 1231 (A) and for Attended-orientation compared to Unattended (B). The figure reports only the regions that showed significant 1232 differences from the cluster-based permutation comparison (two-tailed t-test with p<0.05, 50000 permutations, and p<0.05 1233 for the permutation test), which are highlighted as more opaque. The black areas indicate fPHASE–fAMPLITUDE pairs excluded 1234 from the analysis (see Methods). 1235
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1238 Figure S3. Stimulus-evoked differences in network efficiency. Differences between Attended-orientation and Unattended 1239 are shown for three frequency bands, A) α-band, B) β-band, and C) γ-band. Left panels show global network efficiency, right 1240 panels local efficiency. Gray shading represents the standard error of the mean. Green vertical shades represent latencies that 1241 showed statistically significant results in the two-tailed t-test (pFDR<0.05). 1242
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