Abstract
Epilepsy is a neurological disorder in the brain that is characterized by unprovoked seizures. Epileptic seizures are attributed to abnormal synchronous neuronal activity in the brain. To detect the seizure as early as possible, the identification of specific electroencephalogram (EEG) dynamics is of great importance in investigating the transition of brain activity as the epileptic seizure approaches. In this study, we investigated the transition of brain activity from interictal to preictal states preceding a seizure by combining EEG network and clustering analyses together in different frequency bands. The findings of this study demonstrated the best clustering performance of k-medoids in the beta band; in addition, compared to the interictal state, the preictal state experienced increased synchronization of EEG network connectivity, characterized by relatively higher network properties. These findings can provide helpful insight into the mechanism of epilepsy, which can also be used in the prediction of epileptic seizures and subsequent intervention.
Keywords: Epileptic seizure, EEG network, K-medoids, Preictal state, Synchronization
Introduction
Epilepsy is a neurological disorder characterized by the paroxysmal occurrence of seizures (Burns et al. 2014). Neurologically, an epileptic seizure is attributed to abnormal synchronous neuronal activity in the brain (Fisher et al. 2005, 2014). Although substantial progress has been made in understanding the neurological pathogenesis of epileptic seizures (Hussain 2018; Mateos et al. 2018), patients still bear excruciating pressures. The repeatability of epileptic seizures damages the central neural system in patients, as well as disrupts their behavior and cognition (Blumenfeld 2012; Cheung et al. 2006; Hommet et al. 2006); meanwhile, compared to healthy individuals, patients also experience a greater possibility of suffering from psychosis.
To detect the epileptic seizure as early as possible, the identification of early changes in electroencephalogram (EEG) dynamics has the potential capacity to provide valuable insight (Myers and Kozma 2018; Wang et al. 2011; Zhang et al. 2011). Since related spectrum power and chaoticity are found to dynamically fluctuate before, during, and after a seizure in patients (Blanco et al. 2013; Iasemidis et al. 1990), these EEG dynamics can be used to anticipate epileptic seizures (Mateos et al. 2018) and can also be used to identify different epileptic states, such as interictal and preictal states (Raghu et al. 2017). As previously demonstrated, the transition of epileptic states usually occurs within several minutes to hours before a seizure, which can herald the occurrence of a seizure (Chavez et al. 2003; Le Van Quyen et al. 2001). To date, substantial progress has been made (Blanco et al. 2013; Drury et al. 2003). In contrast to those attempts that failed to detect specific and sustained fluctuations preceding a seizure (Qu and Gotman 1995; Rogowski et al. 1981) by visually inspecting the multiple-channel EEG, studies based on chaotic dynamics have shown a reliable capability of seizure prediction using scalp or intracranial EEG (Drury et al. 2003; Hussain 2018; Mormann et al. 2006; van Drongelen et al. 2003). For example, by estimating the Lyapunov exponent of electrocorticograms before, during, and after a seizure in epileptic patients, Iasemidis and colleagues found the lowest Lyapunov exponent corresponded to the epileptic seizure (Iasemidis et al. 1990).
The human brain is one of the most complex systems and works as a large-scale network. Information is commonly processed between spatially distributed but functionally linked brain areas with coherent temporal dynamics (Dasdemir et al. 2017; Fields and Glazebrook 2017; Li et al. 2016; Sun et al. 2012). Despite the EEG chaoticity, the EEG network seems to be of great importance when investigating the pathogenesis of epilepsy (Epstein et al. 2014; Gao et al. 2017; Myers and Kozma 2018). By using spectral Granger causality in epileptic children, Protopapa and colleagues found the causal connectivity disrupted in the alpha band and highest in the beta band during the Go condition in an experimental task but the opposite for the NoGo condition, which achieved an accuracy of 87.6% when classifying the subjects in the epileptic and control groups (Protopapa et al. 2016). In addition, by using an adaptive directed transfer function, our previous study demonstrated dynamic EEG network architectures originating from the epileptogenic zone in the interictal EEG state (Zhang et al. 2017). Herein, the investigation of the EEG network in epileptic patients can provide helpful insight into the mechanisms of epilepsy and potentially raise a biomarker for the anticipation of epileptic seizures and clinical intervention.
A preictal state is established several minutes to an hour before the epileptic seizure (Bou Assi et al. 2017; Le et al. 2001; Schwartz et al. 2011), and along with signaling the approaching seizure, the brain activity becomes progressively less chaotic. Inspired by that, a smooth transition gradually develops over time toward the onset of the seizure (Chavez et al. 2003). In this study, we first analyzed the dynamic networks of 1-h intervals of EEG signals preceding seizures in different frequency bands. Clustering analysis was then applied to the EEG networks to capture the transition of brain activity from the interictal to preictal state, as well as the dynamics of EEG network connectivity preceding seizures.
Materials and methods
Participants
The protocol was approved by the Medical Ethics Committee of Sichuan Academy of Medical Sciences and Sichuan Provincial People’s Hospital, and this study was carried out in accordance with the recommendations of Medical Ethics Committee of Sichuan Academy of Medical Sciences and Sichuan Provincial People’s Hospital. Before 24-h EEG monitoring, all patients were required to read the written informed consent and then sign their name on it. Thirteen epileptic patients (7 females, 6 males, age ranged from 8 to 58 years) were diagnosed by doctors at the Sichuan Academy of Medical Sciences and Sichuan Provincial People’s Hospital and encouraged to participate in this study. Detailed clinical information of the 13 patients is provided in Table 1. In this study, to eliminate the effects of antiepileptic drugs, all patients were required to not take antiepileptic drugs before 24-h EEG monitoring was initiated.
Table 1.
Subject | Gender (female = F; male = M) | Age | Epileptic type (generalized = G; focal = F) | Epileptogenic zone |
---|---|---|---|---|
Sub01 | F | 13 | Clonic seizures (F) | – |
Sub02 | F | 23 | Tonic–clonic seizures (G) | – |
Sub03 | F | 15 | Bilateral tonic–clonic seizures (F) | Left hippocampal |
Sub04 | M | 14 | Tonic–clonic seizures (unknown) | Temporal lobe |
Sub05 | M | 47 | Bilateral tonic–clonic seizures (F) | Right basal ganglia |
Sub06 | F | 24 | Tonic–clonic seizures (G) | Frontal lobe |
Sub07 | M | 58 | Tonic–clonic seizures (G) | Bilateral frontal–parietal lobe |
Sub08 | F | 8 | Tonic–clonic seizures (G) | – |
Sub09 | F | 8 | Tonic–clonic seizures (G) | – |
Sub10 | M | 15 | Tonic–clonic seizures (G) | – |
Sub11 | F | 24 | Tonic–clonic seizures (G) | – |
Sub12 | M | 25 | Bilateral tonic–clonic seizures (F) | Bilateral parietal–occipital lobe |
Sub13 | M | 10 | Tonic–clonic seizures (F) | – |
Twenty-four hour EEG recording
The 24-h EEG data sets were collected using the Australia-based Compumedics Grael series of digital video EEG with a sampling rate of 256 Hz. Sixteen Ag/AgCl electrodes (Fp1, Fp2, F3, F4, C3, C4, P3, P4, O1, O2, F7, F8, T3, T4, T5, and T6) were positioned on the scalp in compliance with the international 10–20 system. Additionally, the electrocardiogram and electromyogram were separately recorded by two extra electrodes. Meanwhile, during the 24-h EEG recording, a single or dual cameras were simultaneously used to monitor the clinical behaviors of the epileptic patients.
EEG data analysis
In this study, EEG data sets with a 1-h duration preceding the seizure were used. Since 29 epileptic seizures were recorded in the 13 patients, 29 1-h EEG data sets were extracted. Meanwhile, to reduce the effect of the last seizure on subsequent analyses, a standard was considered in which two adjacent seizures should be separated by at least 40 min. In this study, we confirmed that between any two adjacent seizures, a time interval of at least 2 h was found for the 29 data sets.
In addition, before constructing the EEG network, all data sets were preprocessed with procedures including averaging reference, bandpass filtering to extract the 1–45 Hz signal offline, and segmenting the data into 10-s epochs. In data segmenting, EEG epochs of 10 s were extracted; thus, each 1-h EEG data set was divided into 360 10-s segments. Afterwards, we excluded those segments with absolute amplitude exceeding 100 μV that were considered to be artifacts (Li et al. 2018). Aiming to guarantee the reliability of our results, if the remaining number of 10-s segments was relatively low (i.e., less than 70), we would have excluded this 1-h EEG data set. In this study, the remaining numbers of 10-s segments were 228.2 ± 83.4.
Afterwards, to investigate the transition of epileptic states preceding a seizure, the EEG networks were constructed by using coherence. Coherence is a commonly used method when analyzing synchrony-defined assemblies at a specific frequency between two signals (Li et al. 2015; Salant et al. 1998; Zhang et al. 2015). Here, considering the two variables, x(t) and y(t), in each segment, let Pxx(f) and Pyy(f) be the autospectral densities of x(t) and y(t) at the frequency f, respectively, and Pxy(f) is the corresponding cross-spectral density; coherence was then formulated as follows:
1 |
where Cxy(f) was the frequency-dependent measure of synchrony between x(t) and y(t) at frequency f. Since multiple studies have validated the EEG dynamics of epileptic seizures in different frequency bands (Chavez et al. 2003; Protopapa et al. 2016), we then constructed the related EEG networks in five frequency bands, i.e., delta (1–4 Hz), theta (4–8 Hz), alpha (8–13 Hz), beta (13–30 Hz), and low gamma (30–45 Hz) (Dasdemir et al. 2017; Mumtaz et al. 2017). For each specific band, the EEG network was obtained by averaging the Cxy within its frequency range, which led to the final weighted EEG network per 10-s segment. In this coherence definition, the corresponding spectral densities Pxx(f), Pyy(f) and Pxy(f) are essentially calculated from the fast Fourier transform (FFT) instead of the wavelet transform.
Four weighted network properties, i.e., clustering coefficient (CC), characteristic path length (CPL), local efficiency (LE), and global efficiency (GE), corresponding to the weighted network were adopted to quantitatively evaluate the dynamics of EEG network synchronization toward the seizure. In this study, these four weighted network properties were formulated in the following definitions and further calculated by using the brain connectivity toolbox (BCT, http://www.nitrc.org/projects/bct/) (Rubinov and Sporns 2010):
2 |
3 |
4 |
5 |
where and denote the connection weight estimated by coherence and shortest weighted path length between nodes i and j, respectively, Ψ denotes the set of all nodes in the network, and n denotes the number of nodes.
Clustering analysis is an unsupervised machine learning method, which does not need prior knowledge of the data sets. Clustering analysis can automatically divide all objects into distinct clusters by inferring the data similarity, which guarantees high similarities within the same cluster but large intercluster differences between distinct clusters. Because no prior information was provided when investigating the transition of epileptic states toward the seizure, the investigation could only depend on the EEG dynamics derived from the time series. Therefore, based on the EEG networks in each band, for each 1-h length of EEG data, four clustering methods, including k-medoids, k-means, fuzzy C-means (FCM), and hierarchical, were used. Since both interictal and preictal states preceding epileptic seizure were reported (Chavez et al. 2003; Drury et al. 2003) in this study, two clusters were considered. To guarantee reliable performance, each method was repeated 1000 times; the data would only be considered clustered data if at least 900 out of 1000 times (i.e., 90%), the clustering divided the 1-h data set into two clusters.
After clustering, there might exist some isolated points (Fig. 1a) that affected further results. In essence, adaptive median filtering adapts to automatically estimate the size of the filtering window based on noise density. Adaptive median filtering can not only suppress noise but also preserve details; thus, it is widely used in noise elimination (Chen and Hong Ren 2001). In this study, to filter out isolated points, we adopted adaptive median filtering following the clustering analysis. Eventually, we investigated the clustering performances of different methods and then compared the differences of weighted network properties between interictal and preictal states.
Results
As illustrated in Fig. 1, the continuity of EEG networks that belong to either “cluster 1” or “cluster 2” was revealed. Specifically, in the interictal state, the related EEG networks were clustered into “cluster 1”, which lasted for several minutes; however, as the epileptic seizure approached in time, the EEG networks were then clustered into “cluster 2” (i.e., preictal state).
Table 2 quantitatively shows the number of 1-h EEG data sets that were discriminated using the four clustering methods for five frequency bands. Compared to other bands, the beta band consistently displayed a larger number of 1-h data sets that were clustered (k-medoids: 20; k-means: 14; FCM: 18; hierarchical: 16); meanwhile, among four methods, the k-medoids in the beta band had the best performance since 20 out of 29 1-h EEG data sets were clustered into interictal and preictal states.
Table 2.
k-medoids | k-means | FCM | hierarchical | |
---|---|---|---|---|
Delta | 7 | 8 | 5 | 9 |
Theta | 9 | 9 | 5 | 6 |
Alpha | 12 | 10 | 12 | 13 |
Beta | 20 | 14 | 18 | 16 |
Low gamma | 14 | 10 | 14 | 11 |
As displayed in Table 2, the k-medoids in the beta band showed the largest number of clustered 1-h EEG data sets. We then investigated the differences in the weighted network properties between the interictal and preictal states only in the beta band and only using k-medoids. The comparison of network properties between the two states displayed in Fig. 3 further demonstrated the significantly shorter (p < 0.05) CPL and higher CC, GE, and LE in the preictal state compared to the interictal state.
In addition, we calculated the time duration underlying the transition from “cluster 1” to “cluster 2” for each clustered 1-h EEG data set (20 total) in the beta band, which is depicted in Fig. 2. Specifically, durations that varied from 4.52 to 47.80 min were demonstrated; in other words, after a mean of 24.78 ± 14.00 min, the brain would transition from an interictal to a preictal state, which heralded the onset of the epileptic seizure.
Discussion
Studies that have attempted to detect the preictal state preceding a seizure have provided meaningful findings (Gadhoumi et al. 2016; Le et al. 2001; Lehnertz et al. 2001; Mormann et al. 2007). For example, Blanco and colleagues showed increased entropy in the high band (32–128 Hz) in the moments preceding the attack (Blanco et al. 2013); meanwhile, the spatiotemporal organization of preictal activity was also found several minutes (sometimes longer than 30 min) before a seizure (Chavez et al. 2003). In essence, early changes in EEG dynamics in the time preceding the seizure in different bands helped to herald the epileptic seizure in patients. In this study, we combined EEG network and clustering analyses to capture the transition of brain activity from interictal to preictal states (Fig. 1) and to investigate the corresponding dynamics of EEG network connectivity synchronization.
The relatively high chaoticity and low synchronization were demonstrated within several minutes to hours before seizure; however, as the seizure gradually approached in time, decreased chaoticity and increased synchronization occurred, followed by the epileptic seizure along with the highest synchronization and lowest chaoticity. The brain is one of the most complex systems, and the transition from interictal to preictal states usually occurs from several minutes to hours before the seizure, which can be indexed by the decreased brain network complexity (Lehnertz et al. 2001). For instance, the 6-s EEG signal prior to the seizure showed a high similarity in the frequency range that experienced the largest coherence values with that in epileptic seizure (Salant et al. 1998). Iasemidis and colleagues estimated the Lyapunov exponent of electrocorticograms before, during, and after a seizure, and revealed the lowest Lyapunov exponent in the epileptic seizure (Iasemidis et al. 1990). In this study, we investigated the EEG networks in five bands to uncover the transition of epileptic states from the interictal to preictal state. As shown in Table 2, 20 out of 29 1-h EEG data sets were discriminated into “cluster 1” (interictal) and “cluster 2” (preictal) in the beta band. In addition, the varied durations (4.52–47.80 min) were also demonstrated in Fig. 2, when the brain transitioned from an interictal to a preictal state, which preceded the epileptic seizure.
Theoretically, coherence measures the synchrony-defined neuronal assemblies at a specific frequency between two EEG signals (Salant et al. 1998); the high synchronization of EEG network connectivity corresponds to higher network properties (i.e., high CC, GE, LE, and shorter CPL) (Xu et al. 2013; Zhang et al. 2013). Electrophysiologically, the epileptic seizure occurs in the form of abnormal neuronal activity (Fisher et al. 2005; Staley et al. 2005). By investigating the KIV model, whose architecture was represented by the areas of the limbic system, Myers and Kozma simulated epileptogenesis; when the external weights that join the three networks increased, seizure activity then entrained the entire system (Myers and Kozma 2018). Our previous study also demonstrated the contributions of distributed brain regions to the synchronized activity in the interictal state (Zhang et al. 2017). When the brain transitioned to the preictal state (24.78 ± 14.00 min before the seizure), the results shown in Fig. 3 were consistent with previous studies that investigated the EEG dynamics preceding seizure (Blanco et al. 2013; Salant et al. 1998); indeed, there was an increased synchronization of network connectivity in the beta band since relatively higher CC, GE, LE and shorter CPL were demonstrated in the preictal state than in the interictal state.
In conclusion, these results that were derived from the combination of EEG network and clustering analyses validated the similar tendency that the smooth transition of epileptic states towards the seizure gradually developed over time, which was demonstrated by the increased synchronization of network connectivity. Moreover, the EEG network properties could quantitatively reveal the related EEG dynamics across the transitional process.
Acknowledgements
This work was supported by the National Natural Science Foundation of China (#61522105, #61603344, #81330032, #71601136, and #81771925), the Open Foundation of Henan Key Laboratory of Brain Science and Brain–Computer Interface Technology (No. HNBBL17001), and the Longshan academic talent research supporting program of SWUST (#17LZX692).
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
Footnotes
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Fali Li and Yi Liang have contributed equally to this work.
Contributor Information
Liang Yu, Phone: +86-028-83206978, Email: 18981838653@163.com.
Peng Xu, Phone: +86-028-83206978, Email: xupeng@uestc.edu.cn.
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