A. V. Dubolazov

Mueller-matrix diagnostics of optical properties of polycrystalline networks of human blood plasma

The work is oriented toward a study of the possibilities of Mueller-matrix diagnostics of optical anisotropy of birefringent polycrystalline networks of human plasma amino acids. The interrelations between the statistical moments from the first to the fourth orders and fractal dimensionalities, which characterize the coordinate distributions of elements of the Mueller matrix for the blood plasma and the physiological state of the human organism, are determined.

Wavelet-analysis of polarization maps of human blood plasma

Possibilities of local wavelet-analysis of coordinate distributions of polarization azimuths and ellipticity of laser images of blood plasma in healthy and cancer patients are considered. The set of statistical, correlation, and fractal parameters of distributions of wavelet-coefficients characterizing different scales of geometric dimensions of amino acid polycrystalline networks is determined. The criteria for the differentiation of transformation processes of birefringence of optically anisotropic structures of blood plasma at different scales are established.

Complex degree of mutual anisotropy of extracellular matrix of biological tissues

We study the possibility of the differentiation of optical anisotropy properties of biological tissues in different physiological states by means of statistical analysis of coordinate distributions of a new analytical parameter, the complex degree of mutual anisotropy of a network of birefringent filament-like protein crystals.

Polarization-dependent laser autofluorescence of the polycrystalline networks of blood plasma films in the task of liver pathology differentiation.

Current research presents the results of the investigation of diagnostic efficiency of laser polarization autofluorescence for the set of endogenous fluorophores of blood plasma polycrystalline films in two spectral regions (0.5-0.53 μm and 0.63-0.67 μm) under the excitation of laser radiation with a wavelength of 0.405 μm. A model of generalized optical anisotropy of protein networks of blood plasma polycrystalline films is proposed for the purpose of defining laser autofluorescence processes. Both phase (linear birefringence and optical activity) and amplitude (linear and circular dichroisms) anisotropies have been considered. Interconnections between the optimal condition of probing beam polarization state and the efficiency of induction laser autofluorescence have been found. Statistical analysis of coordinate distributions of laser polarization autofluorescence intensities is suggested by means of determination of the quantitative criteria (statistical moments of the 1st-4th orders). The efficiency of laser polarization autofluorescence of polycrystalline networks in the task of differentiation of nonalcoholic fatty liver disease and chronic hepatitis of human liver has been analyzed.

Jones-matrix mapping of complex degree of mutual anisotropy of birefringent protein networks during the differentiation of myocardium necrotic changes

The azimuthally stable method of Jones-matrix mapping of histological sections of myocardium tissue biopsy using spatial-frequency selection of the mechanisms of linear and circular birefringence is proposed. Correlation parameter-the complex degree of mutual anisotropy-and its diagnostic application are analytically substantiated. The method of measuring the complex degree of mutual-anisotropy coordinate distributions using spatial filtration of their high- and low-frequency components is developed. The interconnections between such distributions and parameters of linear and circular birefringence of myocardium tissue histological sections are defined. The comparative investigations of coordinate distributions of the complex degree of mutual anisotropy formed by fibrillar networks of myocardium tissues of different necrotic states (dead due to coronary heart disease and acute coronary insufficiency) are performed. The values and ranges of change of the statistical (moments of the first-fourth order) parameters of coordinate distributions of the complex degree of mutual anisotropy are defined. The objective criteria of cause of death differentiation are determined.

Correlation and self similarity structure of polycrystalline network biological layers Mueller matrices images

On the basis of the approach to the analysis of degree of consistency between the states of polarization between two points of coherent laser field proposed by Ellis and Dogario, new parameter describing the polarization correlation similarity between manifestation of optically anisotropic components in different points of biological tissues - the degree of mutual correlation Muller matrix of biological tissue have been received. An experimental parameter in problems of differentiation orientation-phase component of architectonic and physiological state of biological tissue based on statistical and correlation approach has been proposed.

Complex polarization-phase and spatial-frequency selections of laser images of blood-plasma films in diagnostics of changes in their polycrystalline structure

We present a theoretical formalism of correlation phase analysis of laser images of human blood plasma with spatial-frequency selection of manifestations of mechanisms of linear and circular birefringence of albumin and globulin polycrystalline networks. Comparative results of the measurement of coordinate distributions of the correlation parameter—the modulus of the degree of local correlation of amplitudes—of laser images of blood plasma taken from patients of three groups—healthy patients (donors), rheumatoid-arthritis patients, and breast-cancer patients—are presented. We investigate values and ranges of change of statistical (the first to fourth statistical moments), correlation (excess of autocorrelation functions), and fractal (slopes of approximating curves and dispersion of extrema of logarithmic dependences of power spectra) parameters of coordinate distributions of the degree of local correlation of amplitudes. Objective criteria for diagnostics of occurrence and differentiation of inflammatory and oncological states are determined.

Birefringence images of polycrystalline films of human urine in early diagnostics of kidney pathology

We propose an optical model of the Mueller-matrix description of mechanisms of optical anisotropy of polycrystalline films of urine, namely, optical activity and birefringence. The algorithm of reconstruction of distributions of parameters-optical rotation angles and phase shifts of the indicated anisotropy types-are elaborated upon. The objective criteria of differentiation of urine films taken from healthy donors and albuminuria patients by means of statistical analysis of such distributions are determined. The operational characteristics (sensitivity, specificity, and accuracy) of the Mueller-matrix reconstruction method of the optical anisotropy parameters are defined.

Fourier-domain Jones-matrix mapping of a complex degree of mutual anisotropy in differentiation of biological tissues' pathological states.

This article presents the theoretical background of an azimuthally stable method of Jones-matrix mapping of histological sections of a uterine wall biopsy on the basis of spatial-frequency selection of the mechanisms of linear and circular birefringence. The diagnostic application of a new correlation parameter--a complex degree of mutual anisotropy--is analytically substantiated. The method of measuring coordinate distributions of a complex degree of mutual anisotropy with further spatial filtration of their high- and low-frequency components is developed. The interconnections of such distributions with linear and circular birefringence parameters of the uterine-wall-endometrium histological sections are found. The comparative results of measuring the coordinate distributions of a complex degree of mutual anisotropy formed by fibrillar networks of myosin and collagen fibrils of uterus wall tissue of different pathological states--pre-cancer (dysplasia) and cancer (adenocarcinoma)--are shown. The values and ranges of change of the statistical (moments of the first to fourth orders) parameters of complex degree of mutual-anisotropy coordinate distributions are studied. The objective criteria of diagnosing the pathology and differentiation of its severity degree are determined.

A fractal and statistic analysis of Mueller-matrix images of phase inhomogeneous layers

The paper is aimed at researching the effectiveness of differentiation of optical anisotropic property of biological crystal networks by means of the statistic and correlation analysis of new analytical parameter - the degree of mutual correlation of biological tissues Mueller matrices of different morphological structure and physiological state.