Phase maps for networks of polycrystalline human biological liquids: Statistical and fractal analyses

• Published in: Semiconductor Physics Quantum Electronics & Optoelectronics
• Date: 2010
• Main Authors: Ushenko, Yu.O., Istratiy, V.V., Balanets’ka, V.O., Kvasniyk, D.O., Bachinsky, V.T., Olar, O.I.
• Format: Article
• Language: English
• Published: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/118396
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Phase maps for networks of polycrystalline human biological liquids:
 Statistical and fractal analyses / Yu.O. Ushenko, V.V. Istratiy, V.O. Balanets’ka, D.O. Kvasniyk, V.T. Bachinsky, O.I. Olar // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2010. — Т. 13, № 3. — С. 240-247. — Бібліогр.: 33 назв. — англ.

Performed in this work are complex statistical and fractal analyses of phase
 properties inherent to birefringence networks of liquid crystals consisting of opticallythin
 layers prepared from synovial fluid taken from human joints. Within the framework
 of a statistical approach, the authors have investigated values and ranges for changes of
 statistical moments of the 1-st to 4-th orders that characterize coordinate distributions for
 phase shifts between orthogonal components of amplitudes inherent to laser radiation
 transformed by synovial fluid layers for human joints with various pathologies. Using the
 Gramm-Charlie method, ascertained are correlation criteria for differentiation of phase
 maps describing pathologically changed liquid-crystal networks. In the framework of the
 fractal approach, determined are dimensionalities of self-similar coordinate phase
 distributions as well as features of transformation of logarithmic dependences for power
 spectra of these distributions for various types of human joint pathologies.