Abstract
Rhythmic oscillations shape cortical dynamics during active behavior, sleep, and general anesthesia. Cross-frequency phase-amplitude coupling is a prominent feature of cortical oscillations, but its role in organizing conscious and unconscious brain states is poorly understood. Using high-density EEG and intracranial electrocorticography during gradual induction of propofol general anesthesia in humans, we discovered a rapid drug-induced transition between distinct states with opposite phase-amplitude coupling and different cortical source distributions. One state occurs during unconsciousness and may be similar to sleep slow oscillations. A second state occurs at the loss or recovery of consciousness and resembles an enhanced slow cortical potential. These results provide objective electrophysiological landmarks of distinct unconscious brain states, and could be used to help improve EEG-based monitoring for general anesthesia.
Keywords: α rhythm, anesthesia, cross-frequency coupling, propofol, Slow oscillation, unconsciousness
Introduction
Although the molecular actions of many anesthetic drugs at specific receptors are known (Brown et al., 2010), alterations in network dynamics that disrupt information processing and produce unconsciousness have remained elusive (Alkire et al., 2008). Loss of consciousness is accompanied by increased EEG power across a broad range of frequencies <40 Hz (Gugino et al., 2001; Feshchenko et al., 2004; Murphy et al., 2011; Purdon et al., 2013). Traditional analyses, including visual interpretation of EEG traces and time-frequency power spectral analysis, are computationally simple and play a central role in neurophysiology and clinical EEG applications. However, power spectral analysis treats the EEG as a collection of independent frequency bands, offering limited insight into the modulation of network activity as a whole. Because cortical networks frequently express oscillations in multiple frequency bands simultaneously, nonlinear biophysical processes, such as neuronal spiking, induce cross-frequency coupling, which is undetectable by spectral analysis (Roopun et al., 2008). Identifying global brain states, such as sleep stages or general anesthesia-induced unconsciousness, remains a significant challenge for understanding cortical dynamics (Gervasoni et al., 2004). Moreover, an EEG-based framework for understanding brain state transitions during general anesthesia will be critical for improving patient monitoring to avoid complications, such as intraoperative awareness (Avidan et al., 2011).
We reasoned that critical information for identifying and characterizing distinct global brain states may be contained in patterns of coupling between distinct frequency bands. A simple form of cross-frequency interaction is phase-amplitude coupling, in which power within one frequency band waxes and wanes at specific phases of an underlying, lower-frequency rhythm (Jensen and Colgin, 2007). Phase-amplitude coupling is widespread during sleep, waking (He et al., 2010), and general anesthesia (Molaee-Ardekani et al., 2007; Breshears et al., 2010; Mukamel et al., 2011; Purdon et al., 2013) and has been related to attention and behavior in human and primate cortex (Canolty et al., 2006; Lakatos et al., 2008). In previous work, we discovered two forms of coupling between the phase of low-frequency activity (LFA, 0.1–2 Hz) and the amplitude of α rhythms (8–14 Hz) in scalp EEG recordings during propofol general anesthesia (Mukamel et al., 2011; Purdon et al., 2013). One form of coupling occurred during the transitions to and from the unconscious state (“trough-max”), whereas the other occurred at deep levels of unconsciousness (“peak-max”) (Mukamel et al., 2011; Purdon et al., 2013). The cortical networks involved in these distinct modulation patterns, their frequency dependence, and their relationship to other brain states, such as burst suppression, are unclear. Here we investigate the cortical generators of these modulation patterns using source localization analysis and intracranial electrocorticography, analyze their frequency dependence, demonstrate these effects in individual subjects, and clarify their relationship to burst suppression. We find that these patterns of cross-frequency coupling reflect dynamics within distinct cortical networks and identify a transition in global brain state.
Materials and Methods
Subjects and recordings.
Following approval from the Massachusetts General Hospital Human Research Committee, we induced and allowed recovery from general anesthesia in 10 healthy volunteers (5 male) using the intravenous anesthetic propofol (2,6 di-isopropyl-phenol). Propofol concentration increased in steps from 0 to 5 μg/ml every 14 min, followed by gradual reduction (see Fig. 1a). We recorded 64 channel EEG using a BrainVision MRI Plus system (BrainAmp MRPlus, BrainProducts) with sampling rate 5 kHz, resolution 0.5 μV least significant bit, and bandwidth 0.016–1000 Hz. We also recorded galvanic skin response and plethysmography (PowerLab; AD Instruments). Electrodes, amplifiers, and filter settings provided accurate and unbiased recording of the entire frequency range analyzed in this study (0.1–50 Hz). A Bayesian method was used to estimate the time-varying probability of response (see Fig. 1b) (Smith et al., 2009). We defined the time of loss of consciousness (LOC), tLOC, and return of consciousness (ROC), tROC, as the first and last times at which the median response probability was <0.05.
EEG data were rereferenced using a Laplacian montage by subtracting the mean of each channel's nearest neighbors (Nunez and Pilgreen, 1991). The Laplacian montage improves spatial localization of focal sources but attenuates EEG components with low spatial frequencies. Because these components tend to have low temporal frequencies, it is also found to attenuate low temporal frequencies. We verified that the reference choice had a minor impact on our measurement of phase-amplitude coupling by repeating the analysis using the average of mastoid electrodes as a reference. Raw signals, x(t), were first smoothed using an anti-aliasing filter and downsampled to 250 Hz. We removed ultra-low-frequency drift by subtracting a piecewise quadratic spline fit to the signal with knots every 15 s. We rejected bad channels by visual inspection. We adopted a conservative procedure to remove low-frequency, large-amplitude EEG artifacts caused by movements while subjects were awake. We extracted the low-frequency signal, xlo(t), by applying a bandpass filter (0.2–6 Hz) and downsampling to 5 Hz, then applying a median filter (window size 30 s) to |xlo(t)|. We defined artifacts as any time point for which |xlo(t)| was at least 10-fold greater than this local threshold. We excluded data within ±5 s of any artifact on each channel. Power spectral density (see Fig. 1c) was computed using a multitaper method (window size: 2 s, 3 tapers) (Mitra and Bokil, 2008).
Phase-amplitude coupling analysis.
We constructed a phase-amplitude modulogram, M(t, φ), characterizing the relative amplitude of activity in a frequency band famp, as a function of the phase of the rhythm in band fph. We bandpass filtered the EEG signal, x(t), to extract each frequency band of interest, xb(t), b ∈ {amp, ph}, Filters were chosen to adequately isolate these frequency bands while allowing temporal resolution of changes in phase-amplitude coupling, which occur within <2 min. We used symmetric finite impulse response filters designed using a least-squares approach (MATLAB function firls; fph passband = 0.1–1 Hz, transition bands = 0.085–0.1 and 1–1.15 Hz, attenutation in stop band ≥17 dB, filter order 2207; famp, passband = 8–13.9 Hz, transition bands = 5.9–8.0 and 13.9–16.0 Hz, attenutation in stop band ≥60 dB, filter order 513). To ensure that our findings were unaffected by artifacts of filtering, we assessed statistical significance using a permutation procedure with the same filter settings (below). Next, we used a Hilbert transform to extract the instantaneous amplitude and phase.
We computed the modulogram by assigning each temporal sample to one of N = 18 equally spaced phase bins based on the instantaneous value of ψph(t), then averaging the corresponding values of Aamp(t) within a 2 min epoch as follows:
where δt = 120 s and δφ = . Note that = 1, φn = 2 πn/N, so that M(t, φ) is a normalized distribution over phase bins. To reduce noise in estimated modulograms (see Figs. 1d, 2a, and 3c), we averaged the value of M(t, φ) from six frontal electrodes near Fz in the standard montage (see Fig. 4, asterisk).
The modulation index, MI(t) in bits, was defined (Tort et al., 2010) as follows:
We assessed statistical significance by a permutation test. We sampled 200 random time shifts, Δt, from a uniform distribution on the interval [−60, 60 s]. We then computed MIperm(t) using the original phase, ψph(t), and the shifted amplitude, Aamp(t − Δt). MI(t) was judged significant if it exceeded 95% of the permuted values, MIperm(t).
In case of significant coupling, we determined the phase of fph at which the famp amplitude is greatest by finding the phase of the sinusoid that best fit the modulogram at each time point as follows:
In recordings from individual subjects, we observed two forms of modulation: peak-max and trough-max. In the peak-max pattern, α amplitude is greatest at the surface-positive phase of the LFA; the reverse relationship occurred during trough-max coupling (see Fig. 1). We defined baseline (before propofol onset), trough-max, and peak-max epochs for each subject to analyze the spatial and frequency-dependent properties during each state (see Figs. 2c–e and 4a–c). During the unconscious period, from LOC to ROC, we tested each 2 min window for significant phase-amplitude coupling. A window was significant if the average modulation index (MI) across six frontal electrodes exceeded the average of the 95th percentile of the shuffled MI at the same set of electrodes. For each unconscious epoch with significant coupling, we defined the epoch as trough-max if |Φ(t) − π| < , and peak-max if |Φ(t)| < .
Spatial analysis.
To analyze the scalp topography of phase-amplitude coupling and EEG power (see Fig. 4a,b), we generated scalp maps using subjects' individually measured electrode locations. We combined the interpolated maps across subjects by taking the median.
To estimate the spatial distribution of cortical currents responsible for peak- and trough-max EEG coupling, we performed source localization analysis of the EEG signal using the minimum norm estimate (MNE) (Hämäläinen et al., 1993) followed by phase-amplitude coupling analysis of the estimated cortical current sources. Freesurfer (Dale et al., 1999) was used to reconstruct tissue surfaces for the forward model based on high-resolution structural MRI obtained for each subject (T1 MPRAGE, 1.3 mm slice thickness, 1.3 × 1 mm in-plane resolution, TR/TE = 2530/3.3 ms, 7° flip angle; Siemens Trio 3 Tesla MR scanner). A three layer boundary element forward model was constructed using MNE software (Hämäläinen et al., 1993). One subject was excluded from localization analysis because the number of bad channels prevented accurate source estimation. Localization analysis used a reduced-dimension source space of 1284 patches of uniform current density, each ∼1.25 cm in diameter (Limpiti et al., 2006). Source current time series estimated by MNE were used to calculate the MI. To test significance within each patch, we resampled phase and amplitude from within each subject's trough- or peak-max epoch to construct a null distribution for the MI. These were combined across subjects using surface-based registration to an average cortical surface (Fischl et al., 1999). A p value for each patch was obtained by fitting a γ distribution to the group average null distribution; validity of the γ distribution was confirmed using Pearson's χ2 test (0.95 confidence level). Finally, we used the p values to control the false discovery rate at q < 0.01 (Benjamini and Yekutieli, 2001).
Intracranial electrocorticography.
Eight patients (5 male) with epilepsy intractable to medication were implanted with intracranial subdural electrocorticography (ECoG) electrodes for clinical monitoring (1 cm spacing, AdTech). Informed consent was obtained from all patients in accordance with the local institutional review board. Electrode placement was determined solely by clinical criteria, and covered regions within temporal, frontal, and parietal cortices (7 of 8 patients in the left hemisphere). Recordings were collected during surgery for electrode explantation. Anesthesia was administered as a bolus of propofol according to standard clinical protocol based on the anesthesiologist's clinical judgment. ECoG was sampled at 500 Hz with a single reference placed facing the dura in the posterior parietal region. After visual rejection of bad channels, we applied the same analysis procedures used for the EEG data (above). We used individual subjects' anatomical MRI and CT to localize electrodes with respect to the cortical surface (Dykstra et al., 2012). These locations were mapped to an average reference brain and combined across subjects for display (see Fig. 4d) (Dale et al., 1999).
Results
Here we report that the general anesthetic drug propofol evokes distinct unconscious brain states with opposite patterns of phase-amplitude coupling and unique source distributions. Power spectral analysis showed that β power (12–20 Hz) increased at subanesthetic concentrations before LOC, followed by a sustained increase in LFA (0.1–1 Hz) and a frontally organized α rhythm (8–14 Hz) throughout the period of unconsciousness (Fig. 1c) (Gugino et al., 2001; Murphy et al., 2011; Supp et al., 2011; Purdon et al., 2013). By analyzing cross-frequency phase-amplitude coupling, we found that the frontal α rhythm during unconsciousness waxed and waned at specific phases of the LFA (Fig. 1d; gray bars; p < 0.005, permutation test). This coupling was visible in raw EEG traces (Fig. 1e,f).
Two distinct patterns of phase-amplitude coupling occurred during the unconscious period. At the threshold propofol concentration for LOC, cLOC, α amplitude was largest during the surface-negative phase of the LFA (trough-max). After an increase in propofol concentration, the phase-amplitude relationship abruptly reversed, with maximum α amplitude at the surface-positive phase of the LFA (peak-max). The transition between trough- and peak-max coupling occurred within a few minutes, after which the peak-max pattern remained until the propofol concentration was reduced. The change in phase-amplitude coupling did not coincide with the major increase in low-frequency EEG power, which occurred at LOC (Fig. 1c). This highlights the need for cross-frequency analysis to detect the shift in network dynamics.
All of our study subjects (n = 10) showed significant trough-max coupling during the transition to and/or recovery from unconsciousness, and eight showed significant peak-max coupling at the highest propofol concentrations (5 μg/ml) (Fig. 2a–c). Overall, coupling was significant at frontal locations during 67% of unconscious epochs; only 11% were significant before propofol administration. The median MI, a measure of coupling strength (Materials and Methods), doubled from 6 × 10−3 bits at baseline to 12 × 10−3 bits after LOC (p < 10−3, Mann–Whitney U test).
We next examined the frequency dependence of phase-amplitude coupling. Although significant phase-amplitude coupling was observed in some subjects while they were awake before LOC (Fig. 1a) (He et al., 2010), overall coupling before propofol administration was not consistent across subjects for any of the frequencies we tested (0.2–50 Hz; Fig. 2d,e). After LOC, phase-amplitude coupling was concentrated within the LFA and α bands. Trough-max coupling linked LFA and δ phase (0.4–4 Hz) with α and low β amplitude (8.3–17 Hz). During peak-max epochs, we found separate patterns of coupling between α amplitude and the LFA (0.1–1 Hz) and δ (1–4 Hz) bands. α amplitude was highest at the peaks of the LFA (Fig. 2e, green), whereas coupling to the δ band peaked ∼−π/2 (Fig. 2e, yellow).
Profound unconsciousness during general anesthesia, coma, and hypothermia can evoke a burst suppression pattern in which high-frequency activity alternates with isoelectric periods (Steriade et al., 1994; Brown et al., 2010). Burst suppression is a distinct state from sleep slow waves and slow oscillations during general anesthesia, which are more regular and alternate at a faster rate (Ching et al., 2012). In our study, 4 of 10 subjects entered a state of burst suppression at the highest propofol concentration. These subjects exhibited peak-max coupling during both burst suppression and nonburst suppression epochs (Fig. 3). Peak-max coupling is therefore not simply a consequence of burst suppression but instead represents a network state, which can occur at lower anesthetic drug doses.
Peak- and trough-max coupling had distinct spatial profiles over the scalp and across cortical regions. Traditional frequency-band analysis has identified the occipital-to-frontal shift in low-frequency (<40 Hz) scalp EEG power as a hallmark of general anesthesia (Gugino et al., 2001; Cimenser et al., 2011; Purdon et al., 2013). During the transition to unconsciousness, we found that trough-max coupling of α amplitude with LFA phase was likewise concentrated at frontal electrodes (Fig. 4a,b). However, peak-max coupling dominated activity throughout frontal, temporal, and posterocentral regions. We used each subject's anatomical MRI to reconstruct cranial tissue surfaces and perform biophysical model-based source localization using a minimum norm estimation algorithm (Hämäläinen et al., 1993) (Fig. 4c). This procedure is biased toward distributed cortical sources, so our results represent a conservative estimate of localization. We found significant trough-max coupling in anterior cingulate and frontal cortices bilaterally, whereas peak-max coupling extended throughout much of the cortex and was strongest in frontal and temporal lobes.
To directly examine the cortical sources of phase-amplitude coupled activity with high spatial resolution, we recorded intracranial ECoG using subdural electrode grids in 8 epilepsy patients during induction of general anesthesia with propofol (605 total electrodes). After LOC, significant coupling appeared in frontal, occipital, and temporal cortices (Fig. 4d). The sign of the referential ECoG varies depending on the geometry of local sources, resulting in a bimodal distribution of coupling phase concentrated at 0 and π (Fig. 4d, green and red, respectively).
Discussion
Our data show that propofol consistently evokes two distinct cortical states with opposite phase-amplitude coupling. These EEG patterns appear in a stereotyped progression during the induction of and recovery from unconsciousness. In contrast with phase-amplitude coupling observed during waking and sleep states (He et al., 2010), the patterns we observed critically involve the frontal α rhythm, which is a hallmark of general anesthesia (Feshchenko et al., 2004; Breshears et al., 2010; Brown et al., 2010; Purdon et al., 2013). Peak-max coupling resembles the well-studied slow oscillation (Steriade et al., 1993), in which scalp-positive waves are associated with transient activated cortical UP/ON states showing increased broadband EEG, local field potential power, and multiunit activity, whereas scalp-negative waves are associated with quiescent DOWN/OFF states (Nir et al., 2011; Lewis et al., 2012). We found that peak-max coupling does not require a burst suppression activity pattern. Rather, peak-max coupling may be a general signature of unconsciousness in the cortex that precedes the onset of burst suppression.
The trough-max pattern parallels reports of increased cortical excitability and attention during the surface-negative phase of slow cortical potentials (Vanhatalo et al., 2004; He and Raichle, 2009). This pattern is localized in anterior cingulate and frontal cortices, the most rostral portion of an ascending arousal system, including brainstem, thalamic, and cortical networks that becomes more metabolically active during emergence from propofol-induced unconsciousness (Långsjö et al., 2012). Activity in anterior cingulate and frontal cortices also covaries with spontaneous fluctuations in internal awareness (Vanhaudenhuyse et al., 2011); the trough-max pattern might therefore be associated with propofol-induced changes in circuits mediating internal awareness.
The transition we have identified in cortical dynamics shows that unconsciousness during propofol general anesthesia is not a unitary brain state (Alkire et al., 2008). Instead, propofol evokes at least two distinct states with opposite patterns of cross-frequency phase-amplitude coupling that engage different cortical networks. The fact that these opposing modulation patterns are mutually exclusive, with distinct spatial distributions, suggests that alternation between widespread cortical ON and OFF states during peak-max coupling begins only after disruption of the frontal trough-max pattern. These objective EEG landmarks enable reliable interpretation of the physiology and functional significance of cortical activity during unconsciousness.
Footnotes
This work was supported by a Swartz Fellowship in Theoretical Neuroscience (E.A.M.), the University of California–San Diego Center for Biological Physics (E.A.M.), and National Institutes of Health Grants K99NS080911 (E.A.M.), DP2-OD006454 (P.L.P.), K25-NS057580 (P.L.P.), DP1-OD003646-01 (E.N.B.), R01-EB006385 (E.N.B., P.L.P.), and R01-MH071847 (E.N.B.).
The authors declare no competing financial interests.
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