Correlation-dimension and autocorrelation fluctuations in epileptic seizure dynamics

We focus on an anomalous scaling region in correlation integral $\left[C\right(\epsilon \left)\right]$ analysis of electrocorticogram in epilepsy patients. We find that epileptic seizures typically are accompanied by wide fluctuations in the slope of this scaling region. An explanation, based on analyzing the interplay between the autocorrelation and $C\left(\epsilon \right),$ is provided for these fluctuations. This anomalous slope appears to be a sensitive measure for tracking (but not predicting) seizures.