Epilepsy is a neurological disease that leads its patients to suffer from seizures, which condition their behavior and lifestyle. Neurologists use an electroencephalogram (EEG) to diagnose this disease. This method of recording cerebral brain activity illustrates the signaling behavior of a person's brain, allowing, among other things, the diagnosis of epilepsy. In the presented study we investigate the possible applications of cross-correlation analysis in the framework of Memory Functions Formalism for the diagnosis of nocturnal frontal lobe epilepsy (NFLE). During the analysis we study statistical memory effects in bioelectric brain activity of 8 healthy subjects and 19 patients with NFLE. Furthermore, we discover different nature of the spectral behavior of EEG signals as well as the difference in the level of manifestation of the frequency-phase synchronization effects for the control group and the group of patients with epilepsy. Finally, we show that the application of the statistical analysis methodology of cross-correlations in bioelectrical brain cortex activity recordings, after additional verification, can be helpful in the problem of searching for diagnostic criteria of nocturnal frontal lobe epilepsy.
Our study demonstrates the potential of Flicker-Noise Spectroscopy analysis of neuromagnetic brain responses (magnetoencephalograms) in possible diagnosis and estimating the effectiveness of treatment of photosensitive epilepsy. The tendency of the organism to restore the synchronization to its normal levels is considered the cornerstone of the analysis. A two-parameter Flicker-Noise Spectroscopy cross-correlation function is applied to show that the breakdown of frequency-phase synchronization in the magnetoencephalograms of the patient can be associated with two distinct mechanisms: high-frequency resonances (50-100 Hz) at specific brain areas and changes in high-frequency stochastic components for other brain areas. Our analysis also reveals a certain disruption of regular behavior and occurrence of asymmetry in three-dimensional plots of the cross-correlation function for some healthy controls, suggesting that these individuals may be susceptible to photosensitive epilepsy. We believe that a similar cross-correlation analysis based on appropriate biomedical signals may be used to assess the effectiveness of medical treatment for other diseases and conditions.
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