Is the Brain Cortex a Fractal?

The question is analysed if the human cerebral cortex is self
similar in a statistical sense, a property which is usually
referred to as being a fractal. The presented analysis includes all
spatial scales from the brain size to the ultimate image
resolution. Results obtained in two healthy volunteers show that
the self similarity does take place down to the spatial scale of
2.5 mm. The obtained fractal dimensions read D=2.73±.05 and
D=2.67±.05 correspondingly, which is in good agreement with
previously reported results. The new calculational method is
volumetric and is based on the fast Fourier Transform of segmented
three dimensional high resolved magnetic resonance images.
Engagement of FFT enables a simple interpretation of the results
and achieves a high performance, which is necessary to analyse the
entire cortex.