Estimation of parameter k(max) in fractal analysis of rat brain activity

Abstract

We recorded electrocortical activity in anesthetized rats and constructed kmax new self-similar time series, applying Higuchi's algorithm. The aim of this study was to estimate value of the parameter k(max). in order to obtain fractal dimension values as an optimum measure of biosignal change. After our analysis, electrocortical activity recordings resulted in a family of curves f(k(max)). Three regions could be distinguished 2 lt = k(max). lt 8, with a U-shape; 8 lt = k(max) lt = 30, with a steeper quasilinear increase; and k(max) >= 30, with a smaller slope quasilinear increase. We suggest the optimum region for k(max): 8 lt k(max) lt 18, specifically k(max) = 8.