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Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright Author's personal copy NeuroImage 69 (2013) 256–266 Contents lists available at SciVerse ScienceDirect NeuroImage journal homepage: www.elsevier.com/locate/ynimg Development of a novel robust measure for interhemispheric synchrony in the neonatal EEG: Activation Synchrony Index (ASI) Okko Räsänen a, Marjo Metsäranta b, Sampsa Vanhatalo c, d,⁎ a Department of Signal Processing and Acoustics, Aalto University, Espoo, PO Box 13000, 00076 AALTO, Finland Children's Hospital, Helsinki University Central Hospital and University of Helsinki, Helsinki, PO Box 281, 00029 HUS, Finland Department of Children's Clinical Neurophysiology, Helsinki University Central Hospital, Helsinki, PO Box 280, 00029 HUS, Finland d Department of Neurological Sciences, 00014 University of Helsinki, Finland b c a r t i c l e i n f o Article history: Accepted 11 December 2012 Available online 20 December 2012 Keywords: Preterm Connectivity Asynchrony Asymmetry EEG monitoring EMG a b s t r a c t The degree of interhemispheric synchrony in the neonatal EEG assessment refers to the co-occurrence of activity bouts during quiet sleep or burst suppression, and it has been widely considered as a key component in assessing background activity. However, no objective measures have been published for measuring it, and all conventionally used visual criteria suffer from significant ambiguities. Our present study aimed to develop such a quantitative measure of (a)synchrony, called activation synchrony index (ASI). We developed the ASI paradigm based on the testing of statistical independence between two quantized amplitude envelopes of wideband-filtered signals where higher frequencies had been pre-emphasized. The core parameter settings of ASI paradigm were defined using a smaller EEG dataset, and the final ASI paradigm was tested using a visually classified dataset of EEG records from 33 fullterm and 25 preterm babies, which showed varying grades of asynchrony. Our findings show that ASI could distinguish all EEG recordings with normal synchrony from those with modest or severe asynchrony at individual level, and there was a highly significant correlation (p b 0.001) between ASI and the visually assessed grade of asynchrony. In addition, we showed that i) ASI is stable in recordings over several hours in duration, such as the typical neonatal brain monitoring, that ii) ASI values are sensitive to sleep stage, and that iii) they correlate with age in the preterm babies. Comparison of ASI to other three potential paradigms demonstrated a significant competitive advantage. Finally, ASI was found to be remarkably resistant to common artefacts as tested by adding significant level of real EEG artefacts from noisy recordings. An objective and reliable measure of (a)synchrony may open novel avenues for using ASI as a putative early functional biomarker in the neonatal brain, as well as for building proper automated classifiers of neonatal EEG background. Notably, the signature of synchrony of this kind, temporal coincidence of activity bouts, is a common feature in biological signals, suggesting that ASI may also hold promise as a useful paradigm for assessing temporal synchrony in other biosignals as well, such as muscle activities or movements. © 2012 Elsevier Inc. All rights reserved. Introduction Neonatal EEG has been routinely performed in centers with specialized neurophysiological service for many decades, and the analysis of Abbreviations: aEEG, amplitude integrated electroencephalogram; AS, active sleep; ASI, activation synchrony index; BAF, band amplitude fluctuation; CC, cross correlation; EDF, European Data Format; EEG, electroencephalogram; EMG, electromyogram; ETDF, energy weighted temporal dependency function; FbEEG, Full band electroencephalogram; FFT, fast Fourier transform; FIR, finite impulse response; FT, full term; HPF, high-pass filter; IIR, infinite impulse response; MIF, mutual information function; NICU, neonatal intensive care unit; QS, quiet sleep; RMS, root mean square; SAT, spontaneous activity transient; TA, trace alternant. ⁎ Corresponding author at: Department of Children's Clinical Neurophysiology, Helsinki University Central Hospital, Helsinki, PO Box 280, 00029 HUS, Finland. E-mail address: sampsa.vanhatalo@helsinki.fi (S. Vanhatalo). 1053-8119/$ – see front matter © 2012 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.neuroimage.2012.12.017 EEG has been conventionally based on visual recognition of waveforms (André et al., 2010). New understanding of the consequences of neonatal adversities (Mwaniki et al., 2012), as well as the recent improvements in early neonatal care have led to a rapidly increasing need for EEG in the neonatal care units that do not have access to expert interpretation of the EEG recordings (Boylan et al., 2010). At the same time, there has been a surge in the academic interest to better understand physiological and pathological mechanisms in the newborn brain. This new situation has set the request to develop more objective analysis paradigms, as well as to improve hardware for brain monitoring. A clear priority in the recent work on automated neonatal EEG analysis has been on detecting seizures (Deburchgraeve et al., 2008; Temko et al., 2011). However, majority of the EEG literature in the past 40 years has focused on the importance of assessing the spontaneous EEG activity (a.k.a. background or ongoing EEG). Some characteristics Author's personal copy O. Räsänen et al. / NeuroImage 69 (2013) 256–266 of this ongoing EEG are established to be crucial for clinical interpretation in both acute settings (e.g. recovery from birth asphyxia) as well as in estimating longer term prognosis (Holmes and Lombroso, 1993; Walsh et al., 2011; Watanabe et al., 1999). One key feature in the classification of neonatal EEG background is visual assessment of interhemispheric synchrony, which is considered to reflect the level of interaction between hemispheres. Synchrony of this kind is traditionally estimated from the temporal coincidence of the intermittent bouts of activity (often called bursts; a.k.a. spontaneous activity transients, SATs; see Table 1 in Vanhatalo and Kaila, 2010) during quiet sleep that is characterized by a background pattern called trace alternant/discontinu. Prior studies have shown, for instance, that interhemispheric synchrony of this kind increases towards term age, and that many clinical compromises in brain function will lead to a decrease in synchrony, identified as an increased asynchrony (Hahn and Tharp, 1990; Koeda et al., 1995; Lombroso, 1979; Monod et al., 1972; Walsh et al., 2011). Strikingly in this context, there are no unanimous and/or unequivocal definitions of interhemispheric (a) synchrony, and likewise, there are no established, plausible paradigms for its measurement. Some previous studies have used a notion “more than 50% asynchrony” without indicating what the given percentage value refers to in the EEG signal. Other studies have followed a little more detailed method introduced by Dr. Lombroso (Lombroso, 1979): asynchrony is understood to mean that the onset of an individual burst/activation in two hemispheres is more than 1.5 s apart (even 2 s has been used Anderson et al., 1985), and the level of asynchrony refers to the proportion of bursts that exceed this threshold. There are several problems that make such criteria unhelpful: First, the 1.5 s time lag in the context of central nerve conduction velocity in newborns (10 m/s; Khater-Boidin et al., 1992) implies that the axonal pathway between hemisphere could be up to insensible 15 m. Second, definition of burst onset is ambiguous. It relies either on amplitude criteria that is sensitive to highpass filter settings, or it relies on subjective assessment shown to have significant interrater variability (Palmu et al., 2010). Third, bursts/activations in the fullterm EEG last for about 2–5 s, and they re-occur quasiperiodically with about 10 s intervals. Bursts in two time series of this kind would have a considerable temporal overlap, falsely interpreted as an “apparent synchrony,” even in the absence of a true temporal relationship. One earlier study went even further in definitions, and considered only such bursts that involved more than four out of six electrodes (Vecchierinia et al., 2003). Such approach obviously yields high estimates of “synchrony” due to outright exclusion from analysis of bursts that are asynchronous. It is obvious that an objective measure of interhemispheric synchrony can only be based on sufficiently robust statistical analysis, which integrates assessment of temporal coincidence of the activity bouts over longer periods of EEG signal. In the current work, we developed a computational method for automatic estimation of activation synchrony index (ASI) between two EEG signals. The method is based on measuring statistical dependency of quantized signal envelopes of two EEG signals. The dependency is measured as a function of delay between the signals, and weighted by the instantaneous signal energy. Such quantification of temporal synchrony yields a simple scalar measure that describes how large proportion of covariation (often perceived as ‘coupling’) between the signals is mediated by immediate (zero-delay) synchrony. In addition, the method provides an easily interpretable representation of how signal energies of the two channels are dependent at different temporal delays. Materials and methods The overview of the process for estimating activation synchrony index (ASI) is schematically presented in Fig. 1B. In our pilot experiments, we identified the key parameters (e.g. frequency band and window length; see Chapter 2.7.) by using a few neonatal EEG traces with clearly normal (grade 0) and severely abnormal (grade 3) 257 scoring. We chose to define these parameters by reasoning from intermediate results, because a formal optimization would need an unambiguous reference dataset, which does not exist. After the pilot phase, we ran through the actual study aiming to i) assess the ability of ASI to distinguish visually detected asynchrony in the larger clinical dataset, ii) to look at the sensitivity of the paradigm to external noise or changes in recording configuration (different electrodes), as well as iii) to compare ASI to some other relevant methods found in the literature. A standalone software for calculating ASI in the way described in this paper will be made available from the authors at request. Preprocessing Our ASI paradigm is based on measuring the statistical dependency of amplitude levels in two signals (in most cases in this paper, F3– P3 and F4–P4). The goal of the pre-processing stage is to facilitate this measurement by 1) representing the signals with a desired time resolution, 2) weighting different signal frequencies according to clinical relevance, and 3) discretizing the signals into a finite number of amplitude levels to allow statistical analysis in a discrete probability space. During pre-processing, signals are first down sampled to fs = 50 Hz and “pre-emphasized” (Fig. 2A) with a first order FIR highpass filter of the form H(z) = 1–0.95z −1 in order to increase the relative contribution of middle- and higher frequencies in the subsequent analysis. Fast Fourier Transform (FFT) is then used to compute the instantaneous amplitude spectra of the signals. FFT is computed for both channels using a sliding Hamming window of 2 s that is moved in 100–ms steps across the entire duration of the signals. Amplitude envelopes of the signals in the frequency range of 1.5–25 Hz are computed by summing across the individual FFT bins corresponding to these frequencies, yielding smoothed high-pass envelopes of the EEG. In the last pre-processing step (labeled as “Q” in Fig. 1B), the amplitude values of the continuous valued amplitude envelope (or, to be precise, 65536 unique values at 16 bits) are quantized into a smaller number of representative signal states, or partitions, that can be used as a basis for statistical measurements. The idea is to represent signals A and B with sufficiently small number of amplitude levels so that each level occurs several times in a typical EEG recording. This then allows reliable estimation of the joint probabilities of amplitude value combinations between the two signals, e.g. the probability of observing high-amplitude burst simultaneously in both signals. The requirement of a small number of amplitude levels is due to the fact that the joint probability space increases exponentially with increasing number of quantization levels, also requiring exponentially longer recordings for reliable estimation of the signal parameters. The quantization is performed with quantization levels adapted to the distribution of amplitude values in the signals. Ideally, the quantized signal representation covers the entire scale of envelope amplitudes in a way that the signal samples are uniformly distributed into different quantization levels. In the current implementation, 10000 randomly chosen samples from the smoothed signal envelopes from both channels were used as the input to a standard k-means clustering algorithm in order to estimate N quantization levels (in the current work, N = 8 was used). Finally, the envelopes of both channels are quantized using the estimated levels by assigning each signal sample to the closest quantization level and replacing the original sample with an integer label uniquely defining the quantization level. This leads to a representation where left hemisphere channel F3–P3 is represented by a discrete sequence A = {a1, a2, …, aL}, ai ∈ {1, 2, …, N}, and right hemisphere channel F4–P4 as B = {b1, b2, …, bL}, bj ∈ {1, 2, …, N}, correspondingly, and where L denotes the number of samples in the signals. Author's personal copy 258 O. Räsänen et al. / NeuroImage 69 (2013) 256–266 Fig. 1. Overall construct of the ASI paradigm. A)Photograph showing a neonatal EEG recording with the electrode placement according to the conventional 8–10 channel neonatal setup. Green rings have been placed around the right side electrodes (F4 in front, P4 in the back) that were used for most analyses in this study. B) Schematic representation of the ASI paradigm. (Ch = channel; FFT = Fast Fourier Transform; Q = quantization; ETDF = energy weighted temporal dependency function) C) Examples of signals at different stages of ASI computation for a normally synchronous EEG. Top panel: the original signal waveforms for left (red) and right (blue) hemispheres. Middle panel: pre-emphasized and temporally smoothed energy envelopes. Bottom panel: quantization indices for the energy envelopes. D) Comparison of ETDFs calculated for four synchronous (left panel) and four asynchronous (right panel) EEG recordings. Asynchrony in brain activity is observed as a flat dependency distribution across multiple lags or as one or more peaks outside τ = 0. Different colors show different subjects. Energy-weighted temporal dependency function In the current work, we define synchrony as a phenomenon where two signals do not evolve independently of each other, but where both signals carry predictive information regarding the concurrent state of the other signal. Therefore, the overall goal is to measure the dependency of signal states in two different sequences, namely quantized amplitude envelopes recorded from left and right hemispheres. In addition, special attention is paid to the dependency of high-energetic events (activity bursts) in the signals, whereas simultaneous occurrence of low-energy background in the trace alternant data serves no clinical purpose. In order to integrate these considerations into a single quantitative measure, we introduce the concept of energy-weighted temporal dependency function, or ETDF. The starting point of the ETDF is the estimation of the statistical dependency between the two signals of interest. As was described in the pre-processing stage, the signals are first converted into discrete sequences of form A = {a1, a2, …, aL}, ai ∈ {1, 2, …, N} and B = {b1, b2, …, bL}, bj ∈ {1, 2, …, N}, for the left and right hemisphere signals, respectively. It is known from the earlier work that the mutual information function (MIF; Li, 1990) can be used to estimate the average dependency of discrete variables a in a sequence X = {a1, a2, …, aL} when the variables are always separated by a lag τ: 1 0 p X ðt Þ ¼ ai ; X ðt þ τ Þ ¼ aj A MIFðτ Þ ¼ ∑ p X ðt Þ ¼ ai ; X ðt þ τ Þ ¼ aj log2 @ i;j pðX ðt Þ ¼ ai Þp X ðt þ τ Þ ¼ aj ð1Þ where t denotes time and p(X(t) = ai, X(t + τ) = aj) is the probability of observing aj after ai with τ − 1 non-specified elements in between. For notational simplicity, we can rewrite the above equation as MIFðτ Þ ¼ ∑ pτ ai ; aj i;j 1 pτ ai ; aj A log2 @ pðai Þp aj 0 ð2Þ with subscript τ denoting that the aj and ai are always τ elements apart in the sequence. The probabilities can be derived from a finite sequence by simply counting the frequencies of occurrences of different states ai or state pairs {ai, aj} and then normalizing them by the total frequency count (maximum-likelihood estimator). What MIF essentially does is that it compares the joint probability pτ(ai,aj) of two variables to the product of their individual probabilities p(ai) and p(aj). The more the ai and aj are dependent on each other, the higher the ratio will be. This dependency is then measured in bits and summed across all variables in the data, weighted by the relative frequency of each element pair. In contrast to the standard MIF, here we wish to measure the dependency of signal states between two different sequences. This is achieved by simply exchanging the delayed state aj from the same signal with a signal state bj originating from the second signal B, corresponding to a situation where signal B is simply delayed by τ samples in relation to the signal A. Also, we omit the logarithm in the equation since we are not interested in bits of information but in the overall linear dependency between the signals measured across all possible pairs of signal states (see, e.g., Räsänen, 2012 for similar use of non-log MIF). Author's personal copy O. Räsänen et al. / NeuroImage 69 (2013) 256–266 259 Fig. 2. Pre-processing and ASI stability. A) Frequency response profile of the filter used for pre-emphasizing the higher frequencies. B) Defining the optimal frequency band for ASI computation. The optimal low- and high cutoff frequencies depends on the presence or absence of the pre-emphasis filter. The gray scale shows correlation between visual rating and ASI value (dark is higher correlation) measured over the patient population. C) ASI estimates in the whole dataset without (left) and with (right) pre-emphasis filtering. Note how the pre-emphasis filtering enhances the differentiation of normal synchrony and mild asynchrony. D) Effect of ASI window on the variability of ASI estimate. Note how ASI estimate becomes significantly more stable, i.e. less variable when the window is extended from 15 s to 10 min. All values are calculated from one longer EEG epoch. E) Stabilization of ASI estimate over time. The graph demonstrates ASI values in three 20 min long recordings taken from three different patients. Note how the ASI estimate fluctuates during the first few minutes and then finds a stable level (see also Fig. 3B) as the statistical evidence of synchrony accumulates. Finally, in order to measure the dependency of signal energy instead of purely abstract states, we weight each state pair {ai, bj} (that are simply categorical values without ordinal information) by the product of the amplitude values corresponding to the given states. This leads to so-called energy weighted temporal dependency function (ETDF): 2 2 pτ ai ; bj pτ ai ; bj ¼ ∑ Eðai ÞE bj ETDFðτÞ ¼ ∑ w ai ; bj i;j i;j pðai Þp bj pðai Þp bj ð3Þ where E(a) is the amplitude corresponding to the quantization level a in signal A and E(b) is the amplitude corresponding to the quantization level b in signal B. Essentially, the ETDF computes the average deviation from statistical independency of the variables in the sequences A = {a1, a2, …, aL} and B = {b1, b2, …, bL} when B is delayed by τ units with respect to A. Moreover, the contribution of each variable pair is weighted by the product of the signal amplitudes corresponding to the variables, ensuring that the measure emphasizes high-energetic parts of the signal over background activity (see Belis and Guiasu, 1968 and Dial and Taneja, 1981, for the combination of information theoretic measures with qualitative weights). In order to derive ASI from the ETDF, the ETDF is first computed for τ = [− 50, 50], providing a measure of temporal dependency between the channels in the range of − 5 to 5 s (see Fig. 1D). The underlying assumption is that the synchronous brain activity is represented by an ETDF with a clear maximum at zero lag (τ = 0), whereas asynchrony is indicated by an ETDF with a flat distribution across multiple lags or by a maximum outside the zero lag-region. In order to measure the relative EDTFs at different lags, the global minimum value of the EDTF function is first subtracted from all EDTF values: EDTFnorm ðτÞ ¼ EDTFðτÞ− minfEDTF ðxÞ; x∈½−50; 50g ð4Þ Author's personal copy 260 O. Räsänen et al. / NeuroImage 69 (2013) 256–266 The final synchrony index is defined as the ratio of the EDTF value at zero lag divided by the mean dependency over the entire ± 5 s range: ! 50 1 X ASI ¼ EDTFnorm ðτ ¼ 0Þ= EDTFnorm ðτÞ ð5Þ 101 τ¼−50 Assessment of performance Effect of background state on ASI Our paradigm is based on the idea that the spectrally modified and quantized power envelope fluctuates in time coincident with the occurrence of EEG activity bouts (bursts/SATs). This assumes a sufficient contrast between the periods of activity and its intervals (aka burst vs. interburst). Since such contrast is known to be clear in quiet sleep (trace alternant/discontinue), but markedly lowered in the active sleep, we wanted to test how ASI changes between the two sleep stages. Effect of artefacts/noise on ASI performance The clinical recordings of neonatal EEG are always performed in technically suboptimal conditions, and the EEG records are often contaminated by ‘biological artefacts’, such as muscle activation, body movements, electrocardiogram (ECG), and sweating (cf. André et al., 2010). Intensive care environment is particularly hostile to sensitive EEG recordings, introducing various kinds of ‘technical artefacts’, such as those that come from the mains power and other medical devices (including bed warming mechanisms), as well as from movements caused by high frequency ventilation or patient care. Coping with artefacts is perhaps the greatest challenge in building automated assessment paradigms for clinical neonatal EEG (cf. De Vos et al., 2011). Hence, we decided to test the sensitivity of ASI to the artefacts that are most frequently encountered in the intensive care environment. To make this realistic, we chose the strategy of taking epochs with authentic artefacts from other neonatal EEG recordings, and adding them directly onto each signal in our EEG dataset. We then compared the ASI measures between the original EEG signals and the signals that were deliberately deteriorated. Three different artefact scenarios were tested: 1) technical noise plus electrocardiogram (which includes a combination of electrical interference from bed warming and electrocardiogram; a common combination in sick babies), 2) high frequency ventilation, and 3) excessive muscle activity (EMG). In addition, we tested a case with excessive asymmetry which may occur also during normal brain function in babies with asymmetric subcutaneous swelling (common e.g. after suction delivery). The excessive asymmetry was generated by reducing the amplitude of one signal in each signal pair to 33% of its original value. The artefacts used in our study are shown in Supplementary Fig. 2, and an example of the trace with excessive asymmetry is shown in Fig. 5D. Comparison to other methods A genuine bench-marking of our algorithm is not possible, because we are not aware of prior methods that would have been developed for quantifying interhemispheric asynchrony between activity bouts, such as the one seen in the neonatal EEG. To provide some comparisons, we adapted a method from previous literature and added two sequential improvements to it. First, earlier studies (Korotchikova et al., 2009; Varner et al., 1978) have used cross-correlation (CC) of raw signals to find the temporal lag τ with maximal correlation. To repeat their measure, we calculated τmax from 4 s epochs of EEG signal and computed CC histograms across all epochs. We implemented the same algorithm and measured the mean deviation from zero-lag according to CCI ¼ N 1X Abs τ max;i N i¼1 ð6Þ where τmax,i is computed from a 4 s epoch i and N is the total number of epochs for the patient. We did acknowledge from the beginning, however, that CC of raw signals is obviously not plausible for measuring temporal relations at the event level (burst/activation; cf. Tokariev et al., 2012), which is the signal property of interest in assessing neonatal EEG asynchrony. Second, we created an improved version of CC approach by rendering it more into an event level analysis tool of the kind recently introduced by Tokariev et al. (2012). To attain this, we calculated CC histograms between two temporally smoothed (2 s moving average filtering) amplitude envelopes. Third, we developed the paradigm further and calculated the CC histograms for the identical envelopes that were used in ASI computation, i.e., signal was pre-emphasized with first order FIR (H(z) = 1–0.95z−1) and smoothed with a 2 s FFT by taking the sum of frequency amplitudes over the frequency range of 1.5–25 Hz. This allowed us to estimate the difference between ETDF and CC approaches. Defining the frequency band and ASI window length Frequency band for ASI It would be ideal to use genuine Fullband EEG (FbEEG; Vanhatalo et al., 2005a) signals in any clinical EEG, including ASI estimation. Such recordings with sufficiently low artefact level are, however, still rare in the clinical environments. Regarding higher end of the frequency spectrum, prior studies have shown that the spectral content of neonatal EEG rapidly declines above 20 Hz (Fransson et al., 2012), so we only tested the potential yield from incrementally adding frequencies from 20 to 40 Hz (the sampling rate was increasing accordingly). In our comparison of different cut-off limits (see Fig. 2B), it appeared that the optimal frequency with the present dataset was at 25 Hz. Lowering the cutoff to 20 Hz, which would be well below the harmonics of the mains noise, did only marginally reduce the ASI performance in our present, relatively clean dataset. Our pilot experiments (not shown) with excessively noisy signals showed, however, that artefact tolerance of ASI may be improved by modifying the frequency band so that it limits contribution of the given artefact(s) to the signal of interest. Frequencies above 25 Hz was found to not add to the performance of ASI, which allows outright filtering of higher frequency artefacts, such as most EMG and technical artefacts of the intensive care unit. Regarding the lower frequencies, while they are a key component in bursts/activations, two technical aspects need to be considered: First, the recording stability maybe compromised in many clinical situations (e.g. movements and sweating artefacts) making them sometimes unreliable. Second, low frequencies have an inherently poor time resolution, which becomes an issue for ASI since the measured temporal differences between bursts/activations are down to 1 s range. Based on our comparison of different filter cutoffs (Fig. 2B), we decided to use 1.5 Hz as the lower limit of the frequency spectrum. Duration of ASI window Estimation of ASI relies on temporal comparisons between two traces over a time epoch, referred to as ASI window in our paper. Notably, the ASI window should not be confused with the FFT window length in the pre-processing stage. Whereas the former defines the length of the signal used in the synchrony estimation, the latter simply determines the temporal resolution at which the signal is presented in later stages of the processing. The quasiperiodic nature of activations/bursts makes it possible that they co-occur in two EEG signals by chance, hence a reliable ASI estimation can only be based on using a sufficiently long EEG epoch. In our pilot testing with longer EEG epochs, we calculated the mean ASI index over the whole EEG by using different ASI windows (15, 30, 60, 120, 300 and 600 s). Our results (Fig. 2D) show that increasing the window length will stabilize the ASI estimate, and a window with a length of 120 s Author's personal copy O. Räsänen et al. / NeuroImage 69 (2013) 256–266 did already produce a measure that was stable enough to be tentatively used as a potential trend index in long-term recordings (see below). It is important to note in this context, that ASI estimates based on the longer windows are not simple linear averages of multiple short windows due to the non-linearity of the measure. Consequently, longer ASI windows (more data) provide more reliable probability estimates for the signals to be in specific states, and these estimates are not equal to the mean of several poor estimates from too little data (shorter windows). All results in the current paper, except for temporal stability Figs. 2D, E and 3B, are always based on ASI window length set the entire duration of the EEG recording. Subjects and EEG recording All methodological development during this study was done using genuine neonatal EEG recordings that were collected from a larger EEG dataset (see also Stjerna et al., 2012; Tokariev et al., 2012; Fransson et al., 2012) aimed to develop EEG methodology. For the purpose of the present study, we used altogether 58 EEG recordings, from both preterm (n = 25; average conceptional age 30,4 weeks; range 27.1 − 33.3 weeks) and fullterm cohorts (n = 33; age range 38–43 weeks; these were either healthy controls in other scientific studies or babies taken from clinical archives). The EEG signal was recorded at 256 Hz with a video-synchronized EEG device (NicOne, 261 V32 or M40 amplifier, Cardinal Healthcare, USA). Electrodes (sintered Ag/AgCl) were placed according to the international 10–20 standard, attached either individually or in an electrode cap (Waveguard, ANT-Neuro, Germany; www.ant-neuro.com; see also Stjerna et al., 2012, and www.nemo-europe.com/en/educational-tools.php). This dataset was collected from recordings with 20–28 electrodes (i.e. ‘dense array’) that is more than the conventionally used two to ten electrodes in the preterm EEG (cf. André et al., 2010). Use of the archived, anonymized EEG recordings was approved by the Ethics Committee of the Hospital for Children and Adolescents, Helsinki University Central Hospital. The preterm dataset was chosen because their EEG is known to have a poorer interhemispheric synchrony (André et al., 2010; Lombroso, 1979; Nunes et al., 1997) as a part of the normal development due to the still ongoing growth of interhemispheric connections (Jovanov-Milosević et al., 2009; Kostović and Judas, 2010; Vanhatalo and Kaila, 2006, 2010; see also Joseph et al., 1976). Hence, ASI in preterms was expected to be variable somewhere between normal (physiological synchrony) and sick (pathological reduction of synchrony, i.e. asynchrony) fullterm babies. Epoch selection We chose relatively artefact free epochs with a duration of 5 min that had been previously considered sufficient for visual asynchrony classification (Lombroso, 1979). As per clinical convention, the epoch Fig. 3. ASI findings in EEG traces with different asynchrony level. A) ASI findings in the EEG dataset of fullterm infants classified according to the visually rated asynchrony score. Note how, at least in the present dataset, a putative cutoff limit can be drawn between the normally synchronous and abnormal groups (gray stippled line). As shown with asterisks, statistically significant differences can be observed between many asynchrony scores (#p b 0.1; *p b 0.05; **p b 0.01; ***p b 0.001). B) Example of ASI in a long term monitoring situation. In above, a conventional aEEG trend (calculated from the P3–P4 derivation) is displayed from a 2-hour EEG epoch. The traces below aEEG trend show ASI calculated from the same EEG epoch by using different ASI windows (cf. Fig. 2D). The ASI window always includes the preceding 30, 120 or 300 s of EEG, and new ASI value is computed from the window contents every 15 s. Note how the longest (300 s) trace shows considerably more stable estimate. C) ASI findings in different montages. While some montages do exhibit clear differences in ASI values between different asynchrony scores, it is clear that F–P montage (Fig. 3A) shows the best distinction. This comparison is, however, potentially biased because visual rating was generated in the standard manner which emphases the parietal areas. Author's personal copy 262 O. Räsänen et al. / NeuroImage 69 (2013) 256–266 was taken from the “most quiet” (QS) sleep periods, which corresponds mostly to trace alternant in the healthy infants. A smaller subset (n= 12) of epochs with continuous EEG trace, classified as “active sleep” were selected to assess the sensitivity of the paradigm to sleep stage, and some longer (up to hours) EEG epochs were selected for assessing the stability of ASI as well as its comparison to aEEG trend. Finally, various synthetic combinations of signals were generated to test sensitivity of our paradigm to artefacts that are encountered in real intensive care environment. Preparation for the ASI paradigm Regardless of the original number of electrodes (from 20 to 28), all EEG recordings were re-montaged to bipolar derivations, and exported into EDF format for further processing in Matlab environment. Most of the data shown in this paper is based on comparing bipolar fronto-parietal derivations (F3–P3 for the left hemisphere, and F4–P4 for the right hemisphere), which are areas with most marked asynchrony in pathological situations. In addition, some preliminary explorations were performed on comparing the measures of asynchrony in other EEG derivations: we compared the results to grand average reference and Laplacian derivations obtained from referring to the neighboring signals (both created using the clinical NicOne Reader software). Visual scoring Visual assessment of asynchrony was graded subjectively from 0 to 3 where normal (grade 0) was fully synchronous and severely abnormal (grade 3) was defined as no apparent temporal relation between bursts in two hemispheres. Examples of different grades are shown in Supplementary Fig. 1. This scale is obviously arbitrary, but due to the absence of any objective scale for this purpose (see also Introduction), we decided to use a subjective rating that calibrates to the years long clinical experience of the rater (S.V.). Interhemispheric synchrony was rated to be normal in 13 babies, and abnormal in 20 babies (grade 1 n = 3; grade 2 n = 7; grade 3 n = 10). Notably, visual assessment and grading was performed several months prior to planning of the present study, so it was not influenced by the awareness of the ASI paradigm. By including preterm EEG data we aimed to show that the potential use of ASI is not limited to assessing synchrony in fullterm EEG only. Statistical procedures Statistical analyses were performed in Matlab (correlation analyses) or in the IBM SPSS package (version 20). ASI estimates between different asynchrony groups were compared using ANOVA, followed by post-hoc testing with Tukey. Correlation analyses were carried out using Spearman correlation analysis. The differentiating power of ASI vs. RMS between asynchrony groups was assessed using independent samples test of Kruskall–Wallis Test. The threshold of significance was set to 0.05, and we considered p b 0.1 as borderline significance. Results Our main observation is that, after adjusting few key parameters (see Methods), ASI may yield surprisingly robust estimates of the level of synchrony. As shown in Fig. 3A, ASI decreases monotonically with the increase in visually assessed asynchrony in the EEG recording (Spearman r = − 0.86; p b 0.0001). Strikingly, ASI was able to distinguish normal from modest or severely abnormal tracings in all cases, so that a putative cut-off value could be drawn at about ASI 6 (Fig. 3A). Since it is known that the most ill babies typically are (as visually assessed) asynchronous and have a low amplitude levels, it is conceivable that the overall amplitude levels could confound, or at least partly account for the ability of ASI to distinguish between asynchrony groups. To test this possibility, we compared plain RMS values (mean of the two signals) of each baby to the ASI estimate of the same signal pair. As shown in Supplementary Fig. 3B, these two measures have a clear correlation over the whole study group (r = 0.48; p b 0.01). However, our subsequent comparison of RMS levels between asynchrony groups showed that RMS is not able to differentiate any asynchrony groups (p = 0.33), while ASI was doing that strikingly well (p = 0.001; independent samples, Kruskall–Wallis test). Hence, the mutual correlation between RMS and ASI across larger patient populations is best explained by the overall tendency that the low EEG activity often co-variates with the poor interhemispheric synchrony (Supplementary Fig. 3B). Stability over time One essential feature of a clinically useful measure is its stability over time, also seen as little intraindividual variability. This was assessed by looking how ASI varies with the length of calculation window or over time in otherwise stable baby. We found that ASI stabilizes within about 2–3 min from the onset of recording (Fig. 2E), and ASI trend calculated with a window of 5 min showed markedly stable ASI levels (Fig. 3B; see also Fig. 2D). Sleep stage Comparison of ASI levels during quiet sleep (trace alternant) and active sleep in the same baby showed that while ASI values during active sleep were generally lower, there was no correlation in ASI between sleep states (Pearson, r = 0.02, p = 0.9; Supplementary Fig. 3). This is theoretically expected, since calculation of ASI in our implementation depends on the temporal fluctuation of power, which is less clear during continuous activity, the EEG background in the active sleep (cf. André et al., 2010). Montages Comparison of ASI values obtained with different montages (Fig. 3A vs. 3C) shows clearly that interhemispheric synchrony is not a uniform feature across the hemispheres. In our dataset, the best distinction between different visual asynchrony grades was obtained by using frontal-parietal derivation (F3–P3 and F4–P4; ANOVA p b 0.001), which was the only derivation where ASI could distinguish between many individual levels of synchrony (all statistical test results shown in Fig. 3 A and C). There were no visually obvious differences in the general characteristics (e.g. amplitude or frequency content) of bursts that could have explained why ASI calculated from the F–P derivation yields best results. However, closer inspection of multichannel EEG showed that there are notable differences between patients in how the interhemispheric asynchrony is reflected in different brain areas. Montage Fp1-T3 is an example of this: patients with grade 2 asynchrony appear to form two groups, one with high ASI levels and the other with clearly lowered (b 4) ASI values. This can be because visual scoring of asynchrony is performed from looking at the central electrodes, but it may also reflect spatially differential effects of pathology on synchrony. ASI in the data from preterm babies The preterm infants had ASI levels that were lower than in the healthy full-term babies, which is fully consistent with the known neurophysiological maturation of the brain activity, as well as with the prior studies based on visual asynchrony estimation (Lombroso, 1979; Nunes et al., 1997). When grouping all preterm babies together, (27–34 weeks conceptional age), we did not see a significant correlation between ASI and conceptional age at EEG recording. However, inspection of the graphs (age vs. ASI; see Supplementary Fig. 3) raised an idea that the relationship may not be developmentally uniform. Hence, we analyzed correlations separately for babies below and above conceptional age of 30 weeks, and found that in babies >30 weeks of age, there was a significant correlation (r = − 0.52; p = 0.03; babies b 30 weeks r = − 0.46 and p = 0.06). To probe this Author's personal copy O. Räsänen et al. / NeuroImage 69 (2013) 256–266 263 Fig. 4. Comparison of ASI to other potential measures of asynchrony. A)Synchrony estimate obtained from cross correlation between raw EEG signals does not correlate with visually rated asynchrony grade, neither does it distinguish any of the asynchrony groups. B)Synchrony estimate obtained from computing cross correlation between smoothed energy envelopes of the raw signal does already show group level differences and correlation (p b 0.01) with visual asynchrony grade. C) Synchrony estimate obtained from cross-correlation between energy envelopes that were filtered and pre-emphasized as in our ASI paradigm do also show a group level correlation across asynchrony grades (p b 0.001). However, the individual level differentiation is not possible from these. phenomenon further, based on our earlier work that has demonstrated the importance of lowest frequencies in preterm EEG (Vanhatalo et al., 2005b), we also tested whether change in highpass filter cutoffs could impact the correlation between ASI and conceptional age. Indeed, increasing the cutoff to 2.5 Hz erased significant correlations, whereas lowering the cutoff from 1.5 Hz to 0.5 Hz had no meaningful effect (details of correlation findings are shown in Supplementary Fig. 3C). Comparison to other existing methods As expected, CC between raw signals (Korotchikova et al., 2009; Varner et al., 1978) was not able to discriminate between asynchrony groups (ANOVA p = 0.4). Computation of CC between smoothed amplitude envelopes of the bandpass filtered signals did already make it possible to distinguish between normal and most asynchronous EEG signals (ANOVA across all groups p = 0.01; post hoc test p = 0.01 between grades 0 and 1). Further elaboration of the method by pre-emphasizing the higher frequencies did bring additional differentiation between the groups, being already able to distinguish grade 3 from both grades 0 and 2 (post hoc p b 0.01 in both). Taken together, however, our benchmarking analyses show that none of them was able to distinguish between asynchrony groups even nearly at the level of clarity that was provided by ASI (Fig. 4). Sensitivity of ASI to noise As expected, addition of artefacts did produce some, though surprisingly little distortion of the ASI values (Fig. 5), and it was related to the relative power and frequency range of the artefacts. The results shown in Fig. 5A–C represent artefact level that is unlikely to be exceeded in a decent, real life EEG recording (see trace examples in Supplementary Fig. 2). We also tested whether ASI has a predictable ceiling effect in its artefact tolerance, and found that doubling the artefact amplitudes from these resulted in a clear deterioration of differentiation of asynchrony groups with (data not shown). Choice of frequency band, especially the highpass cutoff, had an effect on the ability of ASI to distinguish asynchrony groups. Using the standard highpass filter cutoff at 1.5 Hz, ASI was still significantly different between the group of normal synchrony and the groups with grades 2 and 3 asynchrony (Fig. 5). Best discrimination between groups was seen with HFV artefacts. When the highpass cutoff was reduced from 1.5 Hz to 0.5 Hz, however, ASI became substantially more tolerant to signal contamination by EMG or technical artefacts. Discussion Our work suggests that interhemispheric synchrony can be measured from the neonatal EEG in a robust way that is relatively insensitive to the common artefacts present in the clinical environment. In our current dataset, we found that ASI could be readily used for differential diagnosis at patient level, however we acknowledge that prospective studies with independent datasets are needed to establish the diagnostic accuracy. ASI has some features that enhance its clinical applicability: it does not rely on assumptions of the spectral or amplitude content in the EEG bursts, and it is almost ignorant to stationary features, such as many technical artefacts in the intensive care units. To the best of our awareness, ASI is the first published paradigm that might be considered for clinical research, and even in patient diagnostics. Such possibility opens novel avenues to exploit this well acknowledged EEG signature as an outcome parameter in clinical research, as well as to implement it as a quantitative component in the automated EEG classifiers that are currently being developed (cf. Korotchikova et al., 2011; Flisberg et al., 2011). Notably, the concept of synchrony/asynchrony in the present context is not directly comparable to the tight temporal binding of neuronal activities observed during cognitive functions (e.g. Palva et al., 2005; Uhlhaas et al., 2010). Those studies commonly measure stability of phase differences between oscillations, which implies considerably higher temporal accuracy than the event-level synchrony measured in our study. A common approach in neonatal EEG literature is to calculate coherence or its related features (Grieve et al., 2008; Joseph et al., 1976; Kuks et al., 1988), the product of both phase and amplitude, hence coming theoretically closer to our ASI measure. We have recently developed a paradigm for assessing phase synchrony between events (Tokariev et al., 2012), which could theoretically be used for the same purpose as ASI. The practical limitations of event-level phase synchrony are, however, the need for surrogate testing, as well as sensitivity to the noise level and the frequency content of bursts (unpublished observations). The present work was motivated by the need to solve these obstacles to obtain a practical solution for clinical situations, with a future possibility to implement the paradigm into online neuromonitoring. Author's personal copy 264 O. Räsänen et al. / NeuroImage 69 (2013) 256–266 Fig. 5. Sensitivity of ASI to common artefacts and excessive asymmetry. Addition of significant amount of artefacts generated by high frequency ventilation (A), technical devices and electrocardiogram (B), or by muscle activity (EMG, C) do all somewhat compromise but not abolish the ability of ASI to differentiate different asynchrony grades in the EEG. (D) Example traces and results from an excessive asymmetry. The asymmetric trace pair was generated from the original traces by reducing the amplitude of one (F4–P4) of the traces to 33% of its original amplitude. The results (right side) demonstrate only negligible effect on the performance of ASI. As shown with asterisks, statistically significant differences can be observed between many asynchrony scores (#pb 0.1; *pb 0.05; **pb 0.01; ***pb 0.001). Technical considerations Pre-processing of the signals plays a central role in determining the representation from which the final dependency between the two signals is measured. For example, the role of the pre-emphasis filtering is to counter-balance the 1/f decay of spectral power at increasing signal frequencies, which is beneficial when synchrony of wideband activity bursts is being measured (Fig. 2A). However, the pre-emphasis, together with highpass and lowpass cutoff frequencies, also affects the way how different artefacts are represented in the computation of the ASI. In the current work, we optimized the frequency bands and the frequency response of the pre-emphasis filter based on the performance in asynchrony detection on a set of relatively clean signals. Further work may be needed if the type and level of noise is significantly different from those used in our study, yet we want to emphasize the marked robustness of ASI against different artefact types even in its present form. Another important technical issue is related to the potential on-line implementation of ASI. The signal amplitudes are quantized using quantization levels adapted to statistics learned from the signal itself before ASI estimation could take place. Such patient-specific quantization requires that several minutes of EEG is collected before computing the levels. In practice, such delay of few minutes should not present problems since EEG synchrony by nature is a property that is not expected to change very frequently. Our experience suggested that a minimum of 2 to 3 min of data is needed for background operations, i.e. quantization level estimation, before displaying ASI to the user. It is, however, also possible to use a pre-defined, generic quantization levels created using a larger patient population. Due to the significant variability between individuals, such quantization would necessarily be non-optimal for any single patient, and the number of quantization levels should be higher than N = 8 to account for the differences in EEG amplitude scales in different patients. Conversely, this would increase the minimum duration of the recording needed for robust ASI estimates. Practical considerations As with any EEG analysis, whether automatic or visual, our present algorithm can be confounded in some predictable situations. The ASI measure is based on temporal correlations of amplitude envelopes between two signals, which has been the hallmark of burst-level synchrony measured in neonatal EEG for decades. We can think of the following aspects that may need attention in this regard. First, some slowly intermitting symmetric, multifrequency artefacts, such as hiccups or spasms, may be reflected as an increased synchrony in our ASI measure. They often present challenge to visual EEG interpretation as well. Such artefacts are, however, easy to recognize from the synchronized video recordings (currently a standard clinical practice), and they are also obvious to the recording personnel, hence they are not very likely to confound ASI without experimenter being aware of it. Second, ASI estimate can be distorted by an inappropriate selection of EEG epochs. As shown by our comparison between ASI during active and quiet sleep epochs (Suppl. Fig. 3), and in full agreement with decades long clinical experience (see Lombroso, 1979), interhemispheric synchrony should only be assessed from the quiet sleep epochs (i.e. trace alternant background activity). Identifying trace alternant activity Author's personal copy O. Räsänen et al. / NeuroImage 69 (2013) 256–266 is trivial for any neurophysiological personnel, and its recognition is also readily done from the aEEG trends used in neuromonitoring (cf. Hellström-Westas et al., 2006). Third, the choice of montage does have a clear effect on ASI estimates, as shown by our comparison of different montages. Earlier clinical studies with visual analysis have always assessed interhemispheric synchrony from the central channels that approximates the F–P montage used in our work. Notably, F–P derivation is nicely compatible with the wide practice of monitoring neonatal brains with four channels that are placed on frontal and centroparietal regions. Our present results are hence directly transferrable to those recordings. However, we are cognitient of the potential circular argument here. Since visual scoring of asynchrony performed in our study is likely emphasizing the synchrony around parietal/frontal leads, our results should not be taken as an evidence against using other derivations. It is possible that both interhemispheric and intrahemispheric synchrony are altered in a spatially selective manner (Grieve et al., 2008; Joseph et al., 1976; Tokariev et al., 2012), which may carry clinically important information. These questions need further studies using better characterized patient groups, carefully optimized electrode montages, as well as higher than conventional number of recording electrodes. The conventional use of a very limited number of electrodes (only 4–5 per hemisphere; see André et al., 2010) has precluded prior work on spatial details of burst synchrony, but recent introduction of dense EEG caps/arrays into clinical practice (Grieve et al., 2008; Roche-Labarbe et al., 2008; Vanhatalo et al., 2008) has opened the possibility to explore spatial segregation of synchronies, both within and between hemispheres. Future perspectives The EEG dataset used in our study was collected for the purpose of technical development, so it was retrospective and without access to more detailed clinical information or data of standardized developmental follow-up. Future studies are needed to clinically validate ASI, and to establish its further clinical correlates. There is, however, a clear caveat in how a work of this nature might evolve: It has been conventional in neonatology to assess new paradigms by their correlation to long-term neurocognitive outcomes, which is not a sensible strategy in the context of ASI or many other neuromonitoring indexes (cf. Greisen et al., 2011). Just like any other functional disturbance, it is well known that the degree of synchrony/asynchrony in the neonatal EEG may reflect either transient or permanent feature of the brain. Clinical accuracy of ASI (or any synchrony measure) does obviously depend on how well it compares to gold standard, which unfortunately does not exist. Clinical utility, in turn, depends on how and where ASI would be used. A comparable challenge is seen with the development of seizure detectors: The ultimate utility of seizure detector paradigm should be assessed by its impact on the diagnostic or therapeutic practice, not by comparing the detector to child's neurocognitive outcome. Likewise, we expect that the greatest clinical impacts of ASI and any objective measure of ongoing EEG will come from perceiving it as a bedside applicable, unique biomarker of early network communication, which can be implemented as a trend display in neuromonitoring, or as a part of an automated EEG classifiers. Finally, we feel that ASI should not be viewed as a paradigm for assessing interhemispheric EEG synchrony only. All basic elements of ASI are well fitted to statistically robust analysis of synchrony between any signal pairs that show temporal co-fluctuation in their activity/amplitude, as well as significantly variable frequency and amplitude content within the activity bouts. We can envision the potential applications to be within the fields of i) movement analysis or sports medicine using EMG signal or piezo electrodes, ii) movement analysis using video-tracking signal, iii) analysis of facial expressions from the EMG of mimic muscles, or iv) applications where audio 265 signal is correlated to bodily functions, such as EMG or piezo signals. Extension of ASI to these areas would only need adjustment of the optimal frequency band(s) and the ASI time window that best capture the phenomenon of interest. Conflict of interest statement The authors (O.R. and S.V.) have a patent pending related to parts of the ASI paradigm that is presented in this work. Acknowledgments This work consists of two phases, each with separate support. All technical development of the algorithm was funded by Tekes (O.R.). MM was supported by the Finnish Medical Foundation. During the course of testing the algorithm on clinical data, as well as during the writing of this paper, S.V. was partly supported by the European Community's Seventh Framework Programme European Community FP7-PEOPLE-2009-IOF, grant agreement no. 254235. Collection of clinical datasets was partly funded by Helsinki University Central Hospital. Appendix A. Supplementary data Supplementary data to this article can be found online at http:// dx.doi.org/10.1016/j.neuroimage.2012.12.017. References Anderson, C.M., Torres, F., Faoro, A., 1985. The EEG of the early premature. Electroencephalogr. Clin. Neurophysiol. 60, 95–105. André, M., Lamblin, M.D., d'Allest, A.M., Curzi-Dascalova, L., Moussalli-Salefranque, F., Nguyen, S., T. 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