Sustained neural rhythms reveal endogenous oscillations supporting speech perception

Sander van Bree, Ediz Sohoglu, Matthew H Davis, Benedikt Zoefel, Sander van Bree, Ediz Sohoglu, Matthew H Davis, Benedikt Zoefel

Abstract

Rhythmic sensory or electrical stimulation will produce rhythmic brain responses. These rhythmic responses are often interpreted as endogenous neural oscillations aligned (or "entrained") to the stimulus rhythm. However, stimulus-aligned brain responses can also be explained as a sequence of evoked responses, which only appear regular due to the rhythmicity of the stimulus, without necessarily involving underlying neural oscillations. To distinguish evoked responses from true oscillatory activity, we tested whether rhythmic stimulation produces oscillatory responses which continue after the end of the stimulus. Such sustained effects provide evidence for true involvement of neural oscillations. In Experiment 1, we found that rhythmic intelligible, but not unintelligible speech produces oscillatory responses in magnetoencephalography (MEG) which outlast the stimulus at parietal sensors. In Experiment 2, we found that transcranial alternating current stimulation (tACS) leads to rhythmic fluctuations in speech perception outcomes after the end of electrical stimulation. We further report that the phase relation between electroencephalography (EEG) responses and rhythmic intelligible speech can predict the tACS phase that leads to most accurate speech perception. Together, we provide fundamental results for several lines of research-including neural entrainment and tACS-and reveal endogenous neural oscillations as a key underlying principle for speech perception.

Conflict of interest statement

The authors have declared that no competing interests exist.

Figures

Fig 1. Experimental paradigm and analysis.
Fig 1. Experimental paradigm and analysis.
(A) Participants listened to rhythmic speech sequences and were asked to press a button when they detected an irregularity in the stimulus rhythm (red targets). (B) Performance (as d-prime) in the irregularity detection task, averaged across participants and shown for the main effects of intelligibility, duration, and rate. Error bars show SEM, corrected for within-subject comparison [19]. Please refer to S1 Data for the numerical values underlying this figure panel. (C) A rhythmic brain response measured during the presented sounds cannot distinguish true neural oscillations aligned to the stimulus from regular stimulus-evoked responses. However, only the oscillation-based model predicts a rhythmic response which outlasts the rhythmic stimulus. For each time point t throughout the trial, oscillatory phase was estimated based on a 1-second window centred on t (shaded grey). (D) ITC at time t is high when estimated phases are consistent across trials (left) and low otherwise (right). Note that the 2 examples shown differ in their 2-Hz ITC, but have similar induced power at the same frequency. (E) ITC in the longer (3-second) condition, averaged across intelligibility conditions, gradiometers, and participants. Note that “time” (x-axis) refers to the centre of the 1-second windows used to estimate phase. ITC at 2 and 3 Hz, measured in response to 2 and 3 Hz sequences, were combined to form an RSR. The 2 time windows used for this analysis (“entrained” and “sustained”) are shown in white (results are shown in Fig 2). (F) ITC as a function of neural frequency, separately for the 2 stimulation rates, and for the example time point shown as a black line in E. ITC, intertrial phase coherence; RSR, rate-specific response; SEM, standard error of mean.
Fig 2. Main results from Experiment 1.
Fig 2. Main results from Experiment 1.
(A–C) Results in the entrained time window. Bars in panel A show RSR in the different conditions, averaged across gradiometers and participants. Error bars show SEM, corrected for within-subject comparison. The topography shows t-values for the comparison with 0, separately for the 102 gradiometer pairs, and after RSR was averaged across conditions. Topographies in B contrast RSR across conditions. Topography and source plots in C show t-values for the comparison with 0 in the intelligible conditions. In all topographic plots, plus signs indicate the spatial extent of significant clusters from cluster-based permutation tests (see Materials and methods). In B, white plus signs indicate a cluster with negative polarity (i.e., negative t-values) for the respective contrast. In A and C, this cluster includes all gradiometers (small plus signs). In C, larger plus signs show the 20 sensors with the highest RSR, selected for subsequent analyses (Fig 3). (D–F) Same as A–C, but for the sustained time window. Please refer to S1 Data for the numerical values underlying this figure. RSR, rate-specific response; SEM, standard error of mean.
Fig 3. Follow-up analyses from Experiment 1,…
Fig 3. Follow-up analyses from Experiment 1, using selected sensors (plus signs in insets, reproducing Fig 2C and 2F, respectively).
(A, B) ITC as a function of neural frequency, measured during (A) and after (B) intelligible speech, presented at 2 and 3 Hz. Note that these ITC values were combined to form RSR shown in Fig 2, as described in Fig 1F. For the right panel in B, a fitted “1/f” curve (shown as dashed lines in the left panel) has been subtracted from the data (see Materials and methods). Note that the peaks correspond closely to the respective stimulus rates, or their harmonics (potentially produced by imperfect sinusoidal signals). (C) RSR during intelligible speech as a function of time, for the average of selected sensors. Horizontal lines on top of the panel indicate an FDR-corrected p-value of < = 0.05 (t test against 0) for the respective time point and sensor group. Shaded areas correspond to the 2 defined time windows (brown: entrained, green: sustained). Shaded areas around the curves show SEM. Please refer to S1 Data for the numerical values underlying this figure. FDR, false discovery rate; ITC, intertrial phase coherence; RSR, rate-specific response; SEM, standard error of mean.
Fig 4. Experimental paradigm and main results…
Fig 4. Experimental paradigm and main results from Experiment 2.
(A) Experimental paradigm. In each trial, a target word (red), embedded in noise (black), was presented so that its p-centre falls at 1 of 6 different phase lags (vertical red lines; the thicker red line corresponds to the p-centre of the example target), relative to preceding (“pretarget tACS”) or ongoing tACS (which was then turned off). After each trial, participants were asked to type in the word they had heard. The inset shows the electrode configuration used for tACS in both conditions. (B, C). Theoretical predictions. (B) In the case of entrained neural activity due to tACS, this would closely follow the applied current and hence modulate perception of the target word only in the ongoing tACS condition. (C) In the case that true oscillations are entrained by tACS, these would gradually decay after tACS offset, and a “rhythmic entrainment echo” might therefore be apparent as a sustained oscillatory effect on perception even in the pretarget condition. (D) Accuracy in the word report task as a function of phase lag (relative to tACS peak shown in (A), averaged across tACS durations, and for 4 example participants. Phasic modulation of word report was quantified by fitting a cosine function to data from individual participants (dashed lines). The amplitude (a) of this cosine reflects the magnitude of the hypothesized phasic modulation. The phase of this cosine (φtACS) reflects the distance between its peak and the maximal phase lag of π. Note that the phase lag with highest accuracy for the individual participants, estimated based on the cosine fit, therefore corresponds to π-φtACS. (E) Distribution of φtACS in the 2 tACS conditions, and their difference. (F, G) Amplitudes of the fitted cosines (cf. amplitude a in panel D), averaged across participants. In (F), cosine functions were fitted to data averaged over tACS duration (cf. panel D). In (G), cosine functions were fitted separately for the 3 durations. For the black bars, cosine amplitudes were averaged across the 2 tACS conditions. Dashed lines show the threshold for statistical significance (p < = 0.05) for a phasic modulation of task accuracy, obtained from a surrogate distribution (see Materials and methods). Error bars show SEM (corrected for within-subject comparisons in (F)). Please refer to S1 Data for the numerical values underlying panels E–G. n.s., not significant; SEM, standard error of mean; tACS, transcranial alternating current stimulation.
Fig 5. Combining Experiments 1 and 2.
Fig 5. Combining Experiments 1 and 2.
(A) EEG results from Experiment 1. Topographies show RSR in the intelligible conditions. The time–frequency representation depicts ITC during 3-Hz sequences, averaged across EEG electrodes, participants, and conditions (cf. Fig 1C). (B) Illustration of methodological approach, using example data from 1 participant and electrode (FCz, green in panel A). (B-I) Band-pass filtered (2–4 Hz) version of the EEG signal that has been used to estimate φEEG in the panel below (B-II). In practice, EEG phase at 3 Hz was estimated using FFT applied to unfiltered EEG data. Consequently, φEEG reflects the distance between the peaks of a cosine, fitted to data within the analysis window (shaded grey), and the end of each 3-Hz cycle (green arrows). (B-II) φEEG (green; in the intelligible conditions and averaged across durations) and phase of the 3-Hz sequence (φSound, orange). The latter is defined so that the perceptual centre of each word corresponds to phase π (see example sound sequence, and its theoretical continuation, on top of panel B-I). (B-III) Circular difference between φEEG (green in B-II) and φSound (orange in B-II), yielding φEEGvsSound. Given that φ is defined based on a cosine, a positive difference means that EEG lags sound. (C) Distribution of individual φEEGvsSound, and its relation to φtACS. Data from 1 example electrode (FCz) is used to illustrate the procedure; main results and statistical outcomes are shown in panel D. (C-I) Distribution of φEEGvsSound (cf. B-III), extracted in the intelligible conditions, and averaged across durations and within the respective time windows (shaded brown and blue in B-III, respectively). (C-II,III) Distribution of the circular difference between φtACS (Fig 4E) and φEEGvsSound (C-I). Note that a nonuniform distribution (tested in panel D) indicates a consistent lag between individual φtACS and φEEGvsSound. (D) Z-values (obtained by means of a Rayleigh test; see Materials and methods), quantifying nonuniformity of the distributions shown in C-II,III for different combinations of experimental conditions. Plus signs show electrodes selected for follow-up analyses (FDR-corrected p < = 0.05). (E) Z-values shown in D for intelligible conditions as a function of time, averaged across selected EEG sensors (plus signs in D). For the electrode with the highest predictive value for tACS (F3), the inset shows the distribution of the circular difference between φtACS and φEEGvsSound in the pretarget condition, averaged within the entrained time window (shaded brown). Please refer to S1 Data for the numerical values underlying panels A, C–E. EEG, electroencephalography; FDR, false discovery rate; FFT, fast Fourier transformation; ITC, intertrial phase coherence; RSR, rate-specific response; tACS, transcranial alternating current stimulation.
Fig 6. Predicted individual preferred tACS phases…
Fig 6. Predicted individual preferred tACS phases in the pretarget tACS condition from EEG data measured in the entrained time window at sensor F3.
(A) Step 1: For each participant i, data from all remaining participants were used to estimate the average difference between φtACS and φEEGvsSound. (B) Step 2: φEEGvsSound was determined for participant i. (C) Step 3: This φEEGvsSound was shifted by the phase difference obtained in step 1, yielding the predicted φtACS for participant i. (D) Step 4: The predicted φtACS was used to estimate the tACS phase lag with highest perceptual accuracy for participant i, and the corresponding behavioural data were shifted so that highest accuracy was located at a centre phase bin. Prior to this step, the behavioural data measured at the 6 different phase lags were interpolated to enable realignment with higher precision. (E) Step 5: This procedure was repeated for all participants. (F) Step 6: The realigned data were averaged across participants (blue). For comparison, the procedure was repeated for the ongoing tACS condition (using EEG data from the same sensor; brown). The shaded areas show SEM, corrected for within-subject comparison. (G). Same as in (F), but aligned at the predicted worst phase for word report accuracy. Please refer to S1 Data for the numerical values underlying panels F and G. EEG, electroencephalography; SEM, standard error of mean; tACS, transcranial alternating current stimulation.
Fig 7. Three physical models that could…
Fig 7. Three physical models that could be invoked to explain neural entrainment, and their potential to explain rhythmic entrainment echoes.
(A) In a system without any endogenous processes (e.g., neural oscillations), driving input would produce activity which ceases immediately when this input stops. (B) A more direct account of rhythmic entrainment echoes is that endogenous neural oscillations resemble the operation of a pendulum which will start swinging passively when “pushed” by a rhythmic stimulus. When this stimulus stops, the oscillation will persist but decays over time, depending on certain “hard-wired” properties (similar to the frictional force and air resistance that slows the movement of a pendulum over time). (C) Endogenous neural oscillations could include an active (e.g., predictive) component that controls a more passive process—similar to a child that can control the movement of a swing. This model predicts that oscillations are upheld after stimulus offset as long as the timing of important upcoming input (dashed lines) can be predicted. Note that, for the sake of clarity, we made extreme predictions to illustrate the different models. For instance, depending on the driving force of the rhythmic input, pendulum and swing could reach their maximum amplitude near-instantaneously in panels B and C, respectively, and therefore initially resemble the purely driven system shown in A. Similarly, it is possible that the predictive process (illustrated in C) operates less efficiently in the absence of driving input and therefore shows a decay similar to that shown by the more passive process (shown in B).

References

    1. Giraud A-L, Poeppel D. Cortical oscillations and speech processing: emerging computational principles and operations. Nat Neurosci. 2012;15:511–7. 10.1038/nn.3063
    1. Ding N, Melloni L, Zhang H, Tian X, Poeppel D. Cortical tracking of hierarchical linguistic structures in connected speech. Nat Neurosci. 2016;19:158–64. 10.1038/nn.4186
    1. Peelle JE, Davis MH. Neural Oscillations Carry Speech Rhythm through to Comprehension. Front Psychol. 2012;3:320. 10.3389/fpsyg.2012.00320
    1. Zoefel B, VanRullen R. The Role of High-Level Processes for Oscillatory Phase Entrainment to Speech Sound. Front Hum Neurosci. 2015;9:651. 10.3389/fnhum.2015.00651
    1. Peelle JE, Gross J, Davis MH. Phase-locked responses to speech in human auditory cortex are enhanced during comprehension. Cereb Cortex. 2013;23:1378–87. 10.1093/cercor/bhs118
    1. Gross J, Hoogenboom N, Thut G, Schyns P, Panzeri S, Belin P, et al.. Speech rhythms and multiplexed oscillatory sensory coding in the human brain. PLoS Biol. 2013;11:e1001752. 10.1371/journal.pbio.1001752
    1. Zoefel B, Archer-Boyd A, Davis MH. Phase Entrainment of Brain Oscillations Causally Modulates Neural Responses to Intelligible Speech. Curr Biol. 2018;28:401–408.e5. 10.1016/j.cub.2017.11.071
    1. Zoefel B, Allard I, Anil M, Davis MH. Perception of Rhythmic Speech Is Modulated by Focal Bilateral Transcranial Alternating Current Stimulation. J Cogn Neurosci. 2020;32:226–40. 10.1162/jocn_a_01490
    1. Riecke L, Formisano E, Sorger B, Başkent D, Gaudrain E. Neural Entrainment to Speech Modulates Speech Intelligibility. Curr Biol. 2018;28:161–169.e5. 10.1016/j.cub.2017.11.033
    1. Wilsch A, Neuling T, Obleser J, Herrmann CS. Transcranial alternating current stimulation with speech envelopes modulates speech comprehension. NeuroImage. 2018;172:766–74. 10.1016/j.neuroimage.2018.01.038
    1. Keshavarzi M, Kegler M, Kadir S, Reichenbach T. Transcranial alternating current stimulation in the theta band but not in the delta band modulates the comprehension of naturalistic speech in noise. NeuroImage. 2020;210:116557. 10.1016/j.neuroimage.2020.116557
    1. Lakatos P, Karmos G, Mehta AD, Ulbert I, Schroeder CE. Entrainment of neuronal oscillations as a mechanism of attentional selection. Science. 2008;320:110–3. 10.1126/science.1154735
    1. Schroeder CE, Lakatos P. Low-frequency neuronal oscillations as instruments of sensory selection. Trends Neurosci. 2009;32:9–18. 10.1016/j.tins.2008.09.012
    1. Obleser J, Neural Entrainment KC. Attentional Selection in the Listening Brain. Trends Cogn Sci. 2019;23:913–26. 10.1016/j.tics.2019.08.004
    1. Speech Entrainment ZB. Rhythmic Predictions Carried by Neural Oscillations. Curr Biol. 2018;28:R1102–4. 10.1016/j.cub.2018.07.048
    1. Zoefel B, ten Oever S, Sack AT. The Involvement of Endogenous Neural Oscillations in the Processing of Rhythmic Input: More Than a Regular Repetition of Evoked Neural Responses. Front Neurosci. 2018;12. 10.3389/fnins.2018.00012
    1. Kösem A, Bosker HR, Takashima A, Meyer A, Jensen O, Hagoort P. Neural Entrainment Determines the Words We Hear. Curr Biol. 2018;28:2867–2875.e3. 10.1016/j.cub.2018.07.023
    1. Shannon RV, Zeng FG, Kamath V, Wygonski J, Ekelid M. Speech recognition with primarily temporal cues. Science. 1995;270:303–4. 10.1126/science.270.5234.303
    1. Cousineau D. Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson’s method. Tutor Quant Methods Psychol. 2005:42–5.
    1. Rajendran VG, Schnupp JWH. Frequency tagging cannot measure neural tracking of beat or meter. Proc Natl Acad Sci. 2019;116:2779–80. 10.1073/pnas.1820020116
    1. Zoefel B, Davis MH, Valente G, Riecke L. How to test for phasic modulation of neural and behavioural responses. NeuroImage. 2019;202:116175. 10.1016/j.neuroimage.2019.116175
    1. VanRullen R. How to Evaluate Phase Differences between Trial Groups in Ongoing Electrophysiological Signals. Front Neurosci. 2016;10. 10.3389/fnins.2016.00426
    1. Cole SR, Voytek B. Brain Oscillations and the Importance of Waveform Shape. Trends Cogn Sci. 2017;21:137–49. 10.1016/j.tics.2016.12.008
    1. Haller M, Donoghue T, Peterson E, Varma P, Sebastian P, Gao R, et al.. Parameterizing neural power spectra. bioRxiv. 2018:299859. 10.1101/299859
    1. Sohoglu E, Davis MH. Perceptual learning of degraded speech by minimizing prediction error. Proc Natl Acad Sci. 2016;113:E1747–56. 10.1073/pnas.1523266113
    1. Romei V, Thut G, Silvanto J. Information-Based Approaches of Noninvasive Transcranial Brain Stimulation. Trends Neurosci. 2016:782–95. 10.1016/j.tins.2016.09.001
    1. Zoefel B, Davis MH. Transcranial electric stimulation for the investigation of speech perception and comprehension. Lang Cogn Neurosci. 2017;32:910–23. 10.1080/23273798.2016.1247970
    1. Kasten FH, Duecker K, Maack MC, Meiser A, Herrmann CS. Integrating electric field modeling and neuroimaging to explain inter-individual variability of tACS effects. Nat Commun. 2019;10:1–11. 10.1038/s41467-018-07882-8
    1. Wagner S, Lucka F, Vorwerk J, Herrmann CS, Nolte G, Burger M, et al.. Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem. NeuroImage. 2016;140:163–73. 10.1016/j.neuroimage.2016.04.005
    1. Helmholtz H. Ueber einige Gesetze der Vertheilung elektrischer Ströme in körperlichen Leitern mit Anwendung auf die thierisch-elektrischen Versuche. Ann Phys. 1853;165:211–33. 10.1002/andp.18531650603
    1. Dmochowski JP, Koessler L, Norcia AM, Bikson M, Parra LC. Optimal use of EEG recordings to target active brain areas with transcranial electrical stimulation. NeuroImage. 2017;157:69–80. 10.1016/j.neuroimage.2017.05.059
    1. Fernández-Corazza M, Turovets S, Luu P, Anderson E, Tucker D. Transcranial Electrical Neuromodulation Based on the Reciprocity Principle. Front Psych. 2016;7:87. 10.3389/fpsyt.2016.00087
    1. Shahin AJ, Roberts LE, Miller LM, McDonald KL, Alain C. Sensitivity of EEG and MEG to the N1 and P2 Auditory Evoked Responses Modulated by Spectral Complexity of Sounds. Brain Topogr. 2007;20:55–61. 10.1007/s10548-007-0031-4
    1. Riecke L, Zoefel B. Conveying Temporal Information to the Auditory System via Transcranial Current Stimulation. Acta Acustica United with Acustica. 2018;104:883–6. 10.3813/AAA.919235
    1. Walter VJ, Walter WG. The central effects of rhythmic sensory stimulation. Electroencephalogr Clin Neurophysiol. 1949;1:57–86. 10.1016/0013-4694(49)90164-9
    1. Keitel C, Quigley C, Ruhnau P. Stimulus-driven brain oscillations in the alpha range: entrainment of intrinsic rhythms or frequency-following response? J Neurosci. 2014;34:10137–40. 10.1523/JNEUROSCI.1904-14.2014
    1. Capilla A, Pazo-Alvarez P, Darriba A, Campo P, Gross J. Steady-state visual evoked potentials can be explained by temporal superposition of transient event-related responses. PLoS ONE. 2011;6:e14543. 10.1371/journal.pone.0014543
    1. Haegens S, Zion Golumbic E. Rhythmic facilitation of sensory processing: A critical review. Neurosci Biobehav Rev. 2018;86:150–65. 10.1016/j.neubiorev.2017.12.002
    1. Doelling KB, Assaneo MF, Bevilacqua D, Pesaran B, Poeppel D. An oscillator model better predicts cortical entrainment to music. Proc Natl Acad Sci. 2019;201816414. 10.1073/pnas.1816414116
    1. Spaak E, de Lange FP, Jensen O. Local entrainment of α oscillations by visual stimuli causes cyclic modulation of perception. J Neurosci. 2014;34:3536–44. 10.1523/JNEUROSCI.4385-13.2014
    1. de Graaf TA, Gross J, Paterson G, Rusch T, Sack AT, Thut G. Alpha-band rhythms in visual task performance: phase-locking by rhythmic sensory stimulation. PLoS ONE. 2013;8:e60035. 10.1371/journal.pone.0060035
    1. Mathewson KE, Prudhomme C, Fabiani M, Beck DM, Lleras A, Gratton G. Making waves in the stream of consciousness: entraining oscillations in EEG alpha and fluctuations in visual awareness with rhythmic visual stimulation. J Cogn Neurosci. 2012;24:2321–33. 10.1162/jocn_a_00288
    1. Lakatos P, Musacchia G, O’Connel MN, Falchier AY, Javitt DC, Schroeder CE. The spectrotemporal filter mechanism of auditory selective attention. Neuron. 2013;77:750–61. 10.1016/j.neuron.2012.11.034
    1. Hickok G, Farahbod H, Saberi K. The Rhythm of Perception: Entrainment to Acoustic Rhythms Induces Subsequent Perceptual Oscillation. Psychol Sci. 2015;26:1006–13. 10.1177/0956797615576533
    1. Constantino FC, Simon JZ. Dynamic cortical representations of perceptual filling-in for missing acoustic rhythm. Sci Rep. 2017;7:1–10. 10.1038/s41598-016-0028-x
    1. Bouwer FL, Fahrenfort JJ, Millard SK, Slagter HA. A silent disco: Persistent entrainment of low-frequency neural oscillations underlies beat-based, but not memory-based temporal expectations. bioRxiv. 2020:2020.01.08.899278. 10.1101/2020.01.08.899278
    1. Ghitza O. The theta-syllable: a unit of speech information defined by cortical function. Front Psychol. 2013;4:138. 10.3389/fpsyg.2013.00138
    1. Zion Golumbic EM, Ding N, Bickel S, Lakatos P, Schevon CA, McKhann GM, et al.. Mechanisms underlying selective neuronal tracking of attended speech at a “cocktail party. Neuron. 2013;77:980–91. 10.1016/j.neuron.2012.12.037
    1. Lakatos P, O’Connell MN, Barczak A, Mills A, Javitt DC, Schroeder CE. The leading sense: supramodal control of neurophysiological context by attention. Neuron. 2009;64:419–30. 10.1016/j.neuron.2009.10.014
    1. Hughes HC, Darcey TM, Barkan HI, Williamson PD, Roberts DW, Aslin CH. Responses of Human Auditory Association Cortex to the Omission of an Expected Acoustic Event. NeuroImage. 2001;13:1073–89. 10.1006/nimg.2001.0766
    1. Sohoglu E, Chait M. Detecting and representing predictable structure during auditory scene analysis. King AJ, editor. eLife. 2016;5:e19113. 10.7554/eLife.19113
    1. Raij T, Mäkelä JP, McEvoy L, Hari R. Human auditory cortex is activated by omissions of auditory stimuli. Int J Psychophysiol. 1997;25:73. 10.1016/s0006-8993(96)01140-7
    1. SanMiguel I, Saupe K. Schröger E. I know what is missing here: electrophysiological prediction error signals elicited by omissions of predicted “what” but not “when. Front Hum Neurosci. 2013;7. 10.3389/fnhum.2013.00407
    1. Stonkus R, Braun V, Kerlin JR, Volberg G, Hanslmayr S. Probing the causal role of prestimulus interregional synchrony for perceptual integration via tACS. Sci Rep. 2016;6:1–13. 10.1038/s41598-016-0001-8
    1. Herrmann CS, Rach S, Neuling T, Strüber D. Transcranial alternating current stimulation: a review of the underlying mechanisms and modulation of cognitive processes. Front Hum Neurosci. 2013;7. 10.3389/fnhum.2013.00007
    1. Antal A, Herrmann CS. Transcranial Alternating Current and Random Noise Stimulation: Possible Mechanisms. Neural Plast. 2016;2016:3616807. 10.1155/2016/3616807
    1. Pikovsky A. Synchronization: Universal Concept: A Universal Concept in Nonlinear Sciences. 1st Paperback ed. Cambridge: Cambridge University Press; 2008.
    1. Ali MM, Sellers KK, Fröhlich F. Transcranial alternating current stimulation modulates large-scale cortical network activity by network resonance. J Neurosci. 2013;33:11262–75. 10.1523/JNEUROSCI.5867-12.2013
    1. Fröhlich F. Experiments and models of cortical oscillations as a target for noninvasive brain stimulation. Prog Brain Res. 2015;222:41–73. 10.1016/bs.pbr.2015.07.025
    1. Vosskuhl J, Strüber D, Herrmann CS. Non-invasive Brain Stimulation: A Paradigm Shift in Understanding Brain Oscillations. Front Hum Neurosci. 2018;12. 10.3389/fnhum.2018.00211
    1. Notbohm A, Kurths J, Herrmann CS. Modification of Brain Oscillations via Rhythmic Light Stimulation Provides Evidence for Entrainment but Not for Superposition of Event-Related Responses. Front Hum Neurosci. 2016;10:10. 10.3389/fnhum.2016.00010
    1. Thut G, Veniero D, Romei V, Miniussi C, Schyns P, Gross J. Rhythmic TMS causes local entrainment of natural oscillatory signatures. Curr Biol. 2011;21:1176–85. 10.1016/j.cub.2011.05.049
    1. Blank H, Davis MH. Prediction Errors but Not Sharpened Signals Simulate Multivoxel fMRI Patterns during Speech Perception. PLoS Biol. 2016;14. 10.1021/acs.molpharmaceut.6b00077
    1. Norris D, McQueen JM, Cutler A. Prediction, Bayesian inference and feedback in speech recognition. Lang Cogn Neurosci. 2016;31:4–18. 10.1080/23273798.2015.1081703
    1. Davis M, Sohoglu E. Three functions of prediction error for Bayesian inference in speech perception. Gazzaniga M, Mangun R, Poeppel D, editors. The Cognitive Neurosciences, 6th Edition. Camb, MA, USA: MIT Press; 2020.
    1. Zoefel B, VanRullen R. Oscillatory Mechanisms of Stimulus Processing and Selection in the Visual and Auditory Systems: State-of-the-Art, Speculations and Suggestions. Front Neurosci. 2017;11. 10.3389/fnins.2017.00296
    1. VanRullen R, Zoefel B, Ilhan B. On the cyclic nature of perception in vision versus audition. Philos Trans R Soc Lond Ser B Biol Sci. 2014;369:20130214. 10.1098/rstb.2013.0214
    1. Edwards E, Chang EF. Syllabic (∼2–5 Hz) and fluctuation (∼1–10 Hz) ranges in speech and auditory processing. Hear Res. 2013;305:113–34. 10.1016/j.heares.2013.08.017
    1. Fiene M, Schwab BC, Misselhorn J, Herrmann CS, Schneider TR, Engel AK. Phase-specific manipulation of rhythmic brain activity by transcranial alternating current stimulation. Brain Stimulat. 2020;13:1254–62. 10.1016/j.brs.2020.06.008
    1. Morton J, Marcus S, Frankish C. Perceptual Centers (P-centers). Psychol Rev. 1976:405–8.
    1. Taulu S, Simola J, Kajola M. Applications of the signal space separation method. IEEE Trans Signal Process. 2005;53:3359–72. 10.1109/TSP.2005.853302
    1. Oostenveld R, Fries P, Maris E, Schoffelen J-M. FieldTrip: Open source software for advanced analysis of MEG, EEG, and invasive electrophysiological data. Comput Intell Neurosci. 2011;2011:156869. 10.1155/2011/156869
    1. Kasten FH, Dowsett J, Herrmann CS. Sustained Aftereffect of α-tACS Lasts Up to 70 min after Stimulation. Front Hum Neurosci. 2016;10. 10.3389/fnhum.2016.00245
    1. CircStat: A MATLAB Toolbox for Circular Statistics | Berens | Journal of Statistical Software. [cited 2017 Jun 21]. Available:
    1. Lachaux JP, Rodriguez E, Martinerie J, Varela FJ. Measuring phase synchrony in brain signals. Hum Brain Mapp. 1999;8:194–208. 10.1002/(sici)1097-0193(1999)8:4&lt;194::aid-hbm4&gt;;2-c
    1. Makeig S, Debener S, Onton J, Delorme A. Mining event-related brain dynamics. Trends Cogn Sci. 2004;8:204–10. 10.1016/j.tics.2004.03.008
    1. Maris E, Oostenveld R. Nonparametric statistical testing of EEG- and MEG-data. J Neurosci Methods. 2007;164:177–90. 10.1016/j.jneumeth.2007.03.024
    1. He BJ. Scale-free brain activity: past, present and future. Trends Cogn Sci. 2014;18:480–7. 10.1016/j.tics.2014.04.003
    1. Jaiswal A, Nenonen J, Stenroos M, Gramfort A, Dalal SS, Westner BU, et al.. Comparison of beamformer implementations for MEG source localization. NeuroImage. 2020;216:116797. 10.1016/j.neuroimage.2020.116797
    1. Wendel K, Väisänen O, Malmivuo J, Gencer NG, Vanrumste B, Durka P, et al.. EEG/MEG Source Imaging: Methods, Challenges, and Open Issues. Comput Intell Neurosci. 2009. 10.1155/2009/656092
    1. Van Veen BD, van Drongelen W, Yuchtman M, Suzuki A. Localization of brain electrical activity via linearly constrained minimum variance spatial filtering. IEEE Trans Biomed Eng. 1997;44:867–80. 10.1109/10.623056
    1. Levenshtein VI. Binary Codes Capable of Correcting Deletions, Insertions and Reversals. Sov Phys—Dokl. 1966;10:707.

Source: PubMed

3
Abonneren