Fractal analysis of human cerebellum based on magnetic resonance imaging data: pixel dilating method

Authors

DOI:

https://doi.org/10.26641/1997-9665.2020.3.52-58

Keywords:

fractal analysis, fractal dimension, box counting, pixel dilation, magnetic resonance imaging

Abstract

Background. The use of fractal analysis as a morphometric method allows to investigate biological structures that have the properties of fractals, including the human cerebellum. Adaptation of fractal analysis techniques to assess the state of brain structures using magnetic resonance imaging is an important area of modern morphology. Objective: to determine the values of the fractal dimension (FD) of the cerebellar tissue measured by magnetic resonance imaging using the pixel dilation. Methods. The study was conducted on magnetic resonance images of the brain of 120 relatively healthy patients. Fractal analysis of digital magnetic resonance images of the cerebellum was performed using the method of pixel dilation in the author's modification. Results. It was found that the average value of FD of the cerebellar vermis on the midsagittal section on T2 weighed images with a brightness threshold of 100 was 1.691 ± 0.01. The FD values of the cerebellar hemisphere tissue were: in the paravermal zone on the left 1.683 ± 0.01, on the right 1.685 ± 0.01; in the central zone of the hemisphere on the left 1.679 ± 0.01, on the right 1.672 ± 0.01; on the lateral zone of the hemisphere on the left 1.665 ± 0.01, on the right 1.682 ± 0.01. These values do not differ statistically significantly in the symmetrical areas of the right and left hemispheres and do not differ from the FD values of the cerebellar vermis. Conclusion. The method of pixel dilation of fractal analysis can be used for morphometric study of magnetic resonance images of the brain. Fractal analysis allows an objective assessment of the morphofunctional condition of the cerebellum, which can be used to diagnose various diseases of the cerebellum and other CNS structures.

References

  1. Mandelbrot BB. Fractals – form, chance and dimension. San Francisco: W. H. Freeman;1977. 365 p.
  2. Isaeva VV, Karetin YuA, Chernyshev AV, Shkuratov DYu. Fraktaly i khaos v biologicheskom morfogeneze [Fractals and chaos in biological morphogenesis]. Vladivostok: nstitut biologii morya DVO RAN; 2004. 128 p. Russian.
  3. De Luca A, Arrigoni F, Romaniello R, et al. Automatic localization of cerebral cortical malformations using fractal analysis. Phys. Med. Biol. 2016;61(16):6025–6040.
  4. Squarcina L, De Luca A, Bellani M, et al. Fractal analysis of MRI data for the characterization of patients with schizophrenia and bipolar disorder. Phys. Med. Biol. 2015;60 (4):1697–1716.
  5. Tălu S. Fractal analysis of normal retinal vascular network. Oftalmologia. 2011;55(4):11–16.
  6. Ristanović D, Stefanović BD, Puškaš N. Fractal analysis of dendrite morphology using modified box-counting method. Neurosci. Res. 2014;84:64–67.
  7. Zaletel I, Ristanović D, Stefanović BD, Puškaš N. Modified Richardson's method versus the box-counting method in neuroscience. J. Neurosci. Methods. 2015; 242:93–96.
  8. Akar E, Kara S, Akdemir H, Kiris A. Fractal analysis of MR images in patients with Chiari malformation: The importance of preprocessing. Biomedical Signal Processing and Control. 2017;31:63-70.
  9. Akar E, Kara S, Akdemir H, Kiris A. Fractal dimension analysis of cerebellum in Chiari Malformation type. Computers in Biology and Medicine. 2015;64:179-186.
  10. Wu YT, Shyu KK, Jao CW, Wang ZY, et al. Fractal dimension analysis for quantifying cerebellar morphological change of multiple system atrophy of the cerebellar type (MSA-C). Neuroimage. 2010;49(1):539–551.
  11. Liu JZ, Zhang LD, Yue GH. Fractal dimension in human cerebellum measured by magnetic resonance imaging. Biophys. J. 2003;85 (6):4041–4046.
  12. Stepanenko OYu, Maryenko NI. [Fractal analysis of the human cerebellum white matter]. World of Medicine and Biology. 2017;3(61):145–149. Russian.
  13. Maryenko NI, Stepanenko OYu. [Fractal analysis as a morphometric method in morphology: a pixel dilatation technique in the study of digital images of anatomical structures]. Medytsyna syohodni i zavtra. 2019;1(82):8–15. Ukrainian.
  14. Maryenko NI, Stepanenko OYu. [Two variants of fractal analysis as morphometric method in anatomy: box counting vs pixel dilating technique]. Medytsyna syohodni i zavtra. 2019;2(83):14–22. Ukrainian.

Downloads

How to Cite

Maryenko, N. I., & Stepanenko, O. Y. (2020). Fractal analysis of human cerebellum based on magnetic resonance imaging data: pixel dilating method. Морфологія / Morphologia / Morfologìâ, 14(3), 52–58. https://doi.org/10.26641/1997-9665.2020.3.52-58

Issue

Section

Статті