The structure of biological layers can be considered as structurally
inhomogeneous one. Laser polarimetry was formed recently as a new
separate approach within matrix optics. This research is aimed on generalization of optical anisotropy of optically thin layers of bile films and the development of the method of
Jones-matrix reconstruction of anisotropy parameters of polycrystalline
networks in the task of cholelithiasis early diagnostics

Gorsky, M.P.

Kushnerik, L.

Marchuk, Yu. F.

Meglinskiy, I

Motrich, A.V.

Pidkamin, L.Y.

Sidor, M.I.

Ushenko, O.G.

Ushenko, Yu. O.

Vanchuliak, O.

Цифровий Репозиторій - Інтелектуальні Фонди Буковинського державного медичного університету

 4.3. Jones matrix polarization-correlation mapping of biological crystals networks  O.G. Ushenko, Yu. O. Ushenko, L.Y. Pidkamin, M.I. Sidor, O. Vanchuliak,   A.V.  Motrich, M.P.  Gorsky,  I.Meglinskiy, Yu. F. Marchuk , L. Kushnerik   4.3.1. Introduction The structure of biological layers can be considered as structurally inhomogeneous one [1-3]. Laser polarimetry was formed recently as a new separate approach within matrix optics [4-27].  This research is aimed on generalization of optical anisotropy of optically thin layers of bile films and the development of the method of Jones-matrix reconstruction of anisotropy parameters of polycrystalline networks in the task of cholelithiasis early diagnostics.   4.3.2. Brief theoretical background In this research we have utilized the model description of phase anisotropy [7,8,18-21] (optical activity and linear birefringence) of polycrystalline structure of films of biological fluids developed in [22-28].  We determined the following analytical algorithms for reconstructing the phase anisotropy parameters of such polycrystalline films.   111122222121121222221111coscoscoscos1coscosarccos2>>>>>>RRRRRR ;                        (4.3.1)   112122121111222222221111coscoscoscos1coscosarccos2>>>>>>RRRRRR .                         (4.3.2)  	4.3.4. Statistical intergroup analysis  For the possible clinical application of both methods the following was determined for each group of samples [29-30]:  average (within group 1 and group 2) values of statistical moments  qM i 4;3;2;1 , their standard deviations G,  and histograms  iRM  - Table 4.3.1.  traditional for probative medicine operational characteristics - sensitivity ( %100baaSe ), specificity ( %100dccSp ) and balanced accuracy (2SpSeAc  ), where a  and b  are the number of correct and wrong diagnoses within group 2; c  and d  - the same within group 1  Table 4.3.2.  Table 4.3.1. Average ( 4;3;2;1iM ) and standard deviations ( G, ) of statistical moments 4;3;2;1iM  of optical anisotropy distributions of bile films of groups 1 and 2 q    ( 47n )   ( 47n ) group 1 group 2 group 1 group 2 1M  0.16, 0.0079 0.19, 0.013 0.079, 0.0073 0.11, 0.0011 2M  0.19, 0.013 0.24, 0.015 0.14, 0.009 0.189, 0.0145 3M  0.67, 0.053 0.43, 0.041 0.95, 0.088 0.54, 0.036 4M  0.95, 0.085 0.46, 0.042 1.33, 0.15 0.77, 0.062  Table 4.3.2 presents the parameters of information value of polarization-phase method of Jones-matrix reconstruction of phase anisotropy of polycrystalline films of bile.  Table 4.3.2. Operational characteristics of the method of Jones-matrix reconstruction of polycrystalline structure of bile films q  iM       iZAc  1M  74% 79% 2M  83% 85% 3M  93% 91% 4M  92% 93% The comparative analysis of operational characteristics of the method of Jones-matrix polarization reconstruction of polycrystalline structure of bile films revealed clinically optimal (highlighted in grey) parameters     	    	!"#9&9&.%93%90;%93%924;34;3RAcMRAcM. The obtained results enable to state a rather high level of accuracy of Jones-matrix polarization-phase tomography. According to the criteria of probative medicine [31] the parameters   %93%90~, M  correspond to high quality.  4.3.5. Conclusion The model of generalized optical anisotropy and the technique of Jones-matrix reconstruction of optical anisotropy parameters of polycrystalline bile films has been proposed. By means of statistic analysis the interconnection between the statistical moments of the 1st-4th order of anisotropy parameters of bile films and the changes in it structure of healthy people and cholelithiasis patients were determined. It has been proved the efficiency of Jones-matrix reconstruction of optical anisotropy parameters of bile films in diagnostics of early stages of cholelithiasis.  References 1. V. V. Tuchin, L. Wang, and D. A  `. Zimnyakov [Optical Polarization in Biomedical  Applications], Springer-Verlag (2006). 2. W. S. Bickel and W. M. Bailey, Stokes vectors, Mueller matrices, and polarization of scattered light,  Am. J. Phys. 53, 468478 (1985). 3. S. Yau Lu and R. A. Chipman, Interpretation of Mueller matrices based on polar decomposition,  J. Opt. Soc. Am. A 13, 11061113 (1996).  4. Angelsky, O. V., Gorsky, M. P., Hanson, S. G., Lukin, V. P., Mokhun, I. I., Polyanskii, P. V.,  Ryabiy, P. A., Optical correlation algorithm for reconstructing phase skeleton of complex optical fields for solving the phase problem,  Opt. Exp.  22(5), 6186-6193 (2014). 5. Ushenko, A. G., Burkovets, D. N.,  Ushenko, Y. A., Polarization-phase mapping and reconstruction of biological tissue architectonics during diagnosis of pathological lesions,  Optics and Spectroscopy, 93(3), 449-456  (2002). 6. Ushenko, A. G., Polarization correlometry of angular structure in the microrelief pattern of rough surfaces,  Optics and spectroscopy, 92(2), 227-229  (2002). 7. Angelsky, O. V., Bekshaev, A. Ya., Maksimyak, P. P., Maksimyak, A. P., Hanson, S. G., Zenkova, C. Yu., Self-diffraction of continuous laser  radiation in a disperse medium with absorbing particles,  Optics Express 21(7), 8922-8938, (2013). 8. Angelsky, O.V., Besaha, R.N., Mokhun, A.I., Mokhun, I.I., Sopin, M.O., Soskin, M.S., Singularities in vectoral fields,   Proc. SPIE, 40-54, (1999). 9. R. A. Chipman, Polarimetry  in Handbook of Optics: Vol. I) Geometrical and Physical Optics, Polarized Light, Components and Instruments, M.  Bass,  Ed.,  pp.  22.122.37,  McGraw-Hill Professional, New York  (2010). 10. M. K. Swami, H. S. Patel, and P. K. Gupta, Conversion of 3×3 Mueller matrix to 4×4 Mueller matrix for non-depolarizing samples,  Opt. Commun. 286(1), 1822 (2013). 11. N. Ghosh and I. A. Vitkin, Tissue polarimetry: concepts, challenges, applications and outlook,  J. Biomed. Opt. 16, 110801  (2011). 12. S. L. Jacques, Polarized light imaging of biological tissues  in Handbook of  Biomedical Optics, D. Boas, C. Pitris, and N. Ramanujam, Eds., pp. 649669, CRC Press, Boca Raton, London, New York (2011). 13. N. Ghosh, M. F. G. Wood, and I. A. Vitkin, Polarized light assessment of complex turbid media such as biological tissues via Mueller matrix decomposition,  in Handbook of Photonics for Biomedical Science, V.V. Tuchin, Ed., pp. 253282, CRC Press, Taylor & Francis Group, London (2010). 14. O.V. Angelsky, S.G. Hanson, P.P. Maksimyak, A.P. Maksimyak, C.Yu. Zenkova, P.V. Polyanskii, and D.I. Ivanskyi, "Influence of evanescent wave on birefringent microplates," Opt. Express 25, 2299-2311 (2017). 15. Angelsky, O. V., Bekshaev, A. Ya., Maksimyak, P. P., Maksimyak, A. P., Hanson, S. G., Kontush, S. M., "Controllable generation and manipulation of micro-bubbles in water with absorptive colloid particles by CW laser radiation," Opt. Express 25, 5232-5243 (2017). 16. V. A. Ushenko, M. P. Gorsky, Complex degree of mutual anisotropy of linear birefringence and optical activity of biological tissues in diagnostics of prostate cancer, Optics and Spectroscopy, 115(2), 290-297 (2013). 17. V. A. Ushenko, M. S. Gavrylyak, Azimuthally invariant Mueller-matrix mapping of biological tissue in differential diagnosis of mechanisms protein molecules networks anisotropy,  Proc. SPIE 8812, Biosensing and Nanomedicine VI, 88120Y (2013).  18. V. A. Ushenko, N. I. Zabolotna, S. V. Pavlov, D. M. Burcovets, O. Yu. Novakovska, Mueller-matrices polarization selection of two-dimensional linear and circular birefringence images,  Proc.SPIE 9066, (2013). 19. V. A. Ushenko, A. V. Dubolazov, Correlation and self similarity structure of polycrystalline network biological layers Mueller matrices images,  Proc. SPIE 8856, (2013).  20. Yu. A. Ushenko, V. A. Ushenko, A. V. Dubolazov, V. O. Balanetskaya, N. I. Zabolotna,  Mueller-matrix diagnostics of optical properties of polycrystalline  networks of human blood plasma,  Optics and Spectroscopy 112(6), 884-892 (2012). 21. Angelsky, P. O., Ushenko, A. G., Dubolazov, A. V., Sidor, M. I., Bodnar, G. B., Koval, G., Trifonyuk, L., The singular approach for processing polarization-inhomogeneous laser images of blood plasma layers,  Journal of Optics, 15(4), 044030 (2013). 22. Dubolazov, A. V., Marchuk, V., Olar, O. I., Bachinskiy, V. T., Vanchuliak, O. Y., Pashkovska, N. V., Kostiuk, S. V., Multiparameter correlation microscopy of biological fluids polycrystalline networks,  In Eleventh International Conference on Correlation Optics, International Society for Optics and Photonics, pp. 90661Y-90661Y (2013). 23. Ushenko, O., Dubolazov, A., Balanets' ka, V., Karachevtsev, A.,  Sydor, M., "Wavelet analysis for polarization inhomogeneous laser images of blood plasma," Proc. SPIE. Vol. 8338 (2011). 24. Ushenko, V. A., O. V. Dubolazov, A. O. Karachevtsev, "Two wavelength Mueller matrix reconstruction of blood plasma films polycrystalline structure in diagnostics of breast cancer," Applied optics 53(10), B128-B139 (2014). 25. V. A. Ushenko, O. V. Dubolazov, A. O. Karachevtsev, Two wavelength Mueller matrix reconstruction of blood plasma films polycrystalline structure in diagnostics of breast cancer,  Applied Optics. 53(10), B128-B139 (2014). 26. A. Gerrard and a J. Burch, Introduction to matrix methods in optics,  Courier Corporation, (2012). 27. Angelsky, O. V., Ushenko, A. G., Ushenko, Y. G.,  Tomka, Y. Y., Polarization singularities of biological tissues images. Journal of biomedical optics,  11(5), 054030-054030  (2006). 28. Ushenko, A. G., Laser diagnostics of biofractals,  Quantum electronics, 29(12), 1078  (1999). 29. A. Petrie, B. Sabin, [Medical Statistics at a Glance,] Blackwell Publishing, 157, (2005).

Jones matrix polarization-correlation mapping of biological crystals networks

http://dspace.bsmu.edu.ua:8080/xmlui/bitstream/handle/123456789/15119/104-111.pdf?sequence=1&isAllowed=y

Jones matrix polarization-correlation mapping of biological crystals networks

Abstract

Similar works

Full text

Available Versions

Цифровий Репозиторій - Інтелектуальні Фонди Буковинського державного медичного університету