• Main
  • Useful links
  • Information for Contributors
  • About
  • Editorial board

  • Article
    Stepanenko A. Yu., Maryenko N.I.


    About the author: Stepanenko A. Yu., Maryenko N.I.
    Type of article Scentific article
    Annotation The aim of the study – to investigate the fractal dimension of the white matter of the human cerebellum. Material and methods. The study involved 100 human cerebella of people of both sexes, who died from causes not related to brain pathology, aged 20-95 years. Serial sections of the vermis and hemispheres were performed in the central sagittal and parasagittal planes with a step-by-step interval of 5 mm (from 0 to 40 mm). Fractal analysis of digital images was carried out by the box-counting method. The statistical distribution of the values of the fractal dimension was estimated using methods of the variational statistics. Results. Fractal index (FI) is an indicator of the degree of filling the space with a fractal structure. The values of the white matter of the cerebellum are distributed in a relatively small range of values: from 1.20 to 1.50, the mean value is (1.372 ± 0.006). The fractal index variability is very low, as are the apparent morphological differences in objects with different values of the fractal index. The values of the fractal index of the white matter of the cerebellum are normally distributed. The difference in the values of the white matter of the vermis and hemispheres, the parasagittal sections of the hemispheres located at different distances from the median sagittal plane, and also the symmetrical sections of the right and left hemispheres is insignificant and is not statistically reliable. The values of the fractal white matter index of the vermis and hemispheres are related to each other by a strong correlation relationship (r = 0.804 ÷ 0.953; P <0.001), close to the functional one, the strongest connection was found between the values of the fractal index of symmetrical sections. The hemispheric difference in the values of the fractal index is extremely insignificant: the values of FI determined in different parts of one cerebellum differ by no more than 2.5%. The equality of the values of the fractal index of the vermis and hemispheres allows us to prefer the determination of FI in the central sagittal section, which facilitates the standardization of morphometric studies, in particular, in neuroimaging studies. Conclusions. The structure of the cerebellar white matter can be objectively characterized with quantitative morphometric criterion – fractal index (1,20÷1,50 (min.-max.); 1,372±0,006 (M±m)). The fractal analysis can be used as an objective morphometric criterion for the diagnosis of various diseases of the cerebellum and other structures of the central nervous system.
    Tags Human, anatomy, cerebellum, fractal analysis, white matter
    • Isaeva V. V. Fraktalyi i haos v biologicheskom morfogeneze / V. V. Isaeva, Yu. A. Karetin, A. V. Chernyishev [i dr.] // - Vladivostok: Institut biologii morya DVO RAN, - 2004. 128 s.
    • Stepanenko A. Yu. Fraktalnyiy analiz kak metod morfometricheskogo issledovaniya belogo veschestva mozzhechka cheloveka / A. Yu. Stepanenko, N. I. Marenko // Svit meditsini ta biologiyi. - 2016. No. 4 (58). S. 127–130.
    • Akar E. Fractal dimension analysis of cerebellum in Chiari Malformation type I / E. Akar, S. Kara, H. Akdemir // Computers in Biology and Medicine. - 2015. № 64. P. 179–186.
    • Akar E. Fractal analysis of MR images in patients with Chiari malformation: The importance of preprocessing / E. Akar, S. Kara, H. Akdemir [at al.] // Biomedical Signal Processing and Control. - 2017. № 31. P. 63–70.
    • Jeremy D. The neuropsychiatry of the cerebellum – insights from the clinic / D. Jeremy, J. D. Schmahmann, B. Jeffrey // The Cerebellum. - 2007. № 6. P. 254–267.
    • Liu J. Z. Fractal dimension in human cerebellum measured by magnetic resonance imaging / J. Z. Liu, L. D. Zhang, G. Yue // Biophys. J. - 2003. Vol. 85 (6). P. 4041–4046.
    • Mandelbrot B. B. The fractal geometry of nature / B. B. Mandelbrot // - N.Y.: Freeman, - 1983. 468 с.
    • Ristanovic D. Fractal analysis of dendrite morphology using modified box-counting method / D. Ristanovic, B. D. Stefanovic, N. Puskas // Neurosci. Res. 2014. V. 84. P. 64–67.
    • Zaletel I. Modified Richardson's method versus the box-counting method in neuroscience / I. Zaletel, D. Ristanovic, B. D. Stefanovic [et al.] // J. Neurosci Methods. - 2015. V. 242. P. 93–96.
    Publication of the article «World of Medicine and Biology» №3(61), 2017 year, 145-149 pages, index UDK 611.817.1
    DOI 10.26724/2079-8334-2017-3-61-145-149