What Information Is Hidden in Chaotic Signals of Biological Systems?

Abstract

Applications of the Flicker-Noise Spectroscopy (FNS) to analysis of electroencephalograms (EEG) are demonstrated. We present the double correlation function for the EEG measured in the C4 and O2 points for two patients -a healthy ("normal") child and a sick Schizophrenia child. The drastic differences in the behavior of the two-correlators manifest the information meaning of the similar dependences. We conclude that the FNS approach could be considered as a new instrument to early diagnostics of various brain diseases.

Review of Flicker Noise Spectroscopy in Electrochemistry

“…(29) may also be used in the analysis of various medical characteristics, such as electroencephalograms (EEG). The cross-correlators for EEG signals measured at C4 and O2 points for two patients, a healthy ("normal") child and one with schizophrenic symptoms, are presented by Timashev et al [34]. The dramatic differences observed in the behavior of the corresponding cross-correlators indicate that the FNS approach may be considered as a new tool for early diagnostics of various brain diseases, such as schizophrenia, Alzheimer, Parkinson, and many others.…”

“…Such FNS application is demonstrated by Timashev et al [34], who analyzed the electroencephalograms of two patients, a healthy ("normal") child and one with schizophrenic symptoms, using a frequency power spectrum S F (f) measured at C4 points and other FNS functions. FNS was also used to analyze the effects of different types of medical treatment on the dynamics of index finger tremor for a Parkinsonian patient [35].…”

“…FNS has been used to study the dynamics of various processes [26][27][28][29][30][31][32][33][34][35]: voltage fluctuations in electrochemical systems; fluctuations of velocity components in turbulent flows; fluctuation dynamics of solar activity, and so on. It has also been used to parameterize (in terms of "passport" parameters and/or patterns) surface structures studied with scanning probe microscopy, and chaotic segments of infrared or Raman spectra for complex compounds, which are often referred to as the "fingerprint" regions.…”

“…Informativeness of signal irregularities at every level of the spatiotemporal hierarchy of the evolution under study became the basic hypothesis of Flicker-Noise Spectroscopy (FNS) [23][24][25][26][27][28][29][30][31][32][33][34][35][36], a general phenomenological framework for extracting the information stored in various complex signals. This framework allows one to develop algorithms that can be used to determine as many information parameters about the system state based on the analysis of its complex signals as is needed to solve the problems under study.…”

Analysis of Discrete Signals With Stochastic Components Using Flicker Noise Spectroscopy

“…Consider the example of electroencephalogram (EEG) measurements taken at the C4 electrode for a teenager with schizophrenic symptoms (marked as 545W patient) [Timashev et al, 2005]. The values of the electric potential were recorded with respect to the electrode placed on the left ear lobe of the patient.…”