A. O. Karachevtsev

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.

Two wavelength Mueller matrix reconstruction of blood plasma films polycrystalline structure in diagnostics of breast cancer

The model of a Mueller matrix description of mechanisms of optical anisotropy typical for polycrystalline films of blood plasma--optical activity, birefringence, as well as linear and circular dichroism--is suggested. On this basis, the algorithms of reconstruction of parameters distribution (polarization plane rotations, phase shifts, coefficients of linear and circular dichroism) of the indicated types of anisotropy were found for different spectrally selective ranges. Within the statistical analysis of such distributions, the objective criteria of differentiation of films of blood plasma taken from healthy women and breast cancer patients were determined. From the point of view of probative medicine, the operational characteristics (sensitivity, specificity and accuracy) of the method of Mueller matrix reconstruction of optical anisotropy parameters were found, and its efficiency in diagnostics of breast cancer was demonstrated.

Statistical structure of skin derma Mueller matrix images in the process of cancer changes

This research is aimed to investigate the reliability of Mueller-matrix differentiation of birefringence change of optically thick layers of biological tissues at the early stages of the change in their physiological state. This is performed by measuring the set of the skewness and the kurtosis values of Mueller matrix image of the phase element M44 in various points of the object under investigation.

Polarization-singular structure of laser images of stratified phase-inhomogeneous layers for the diagnostics and classification of their optical properties

Presented in this work are the results of investigation aimed at analysis of coordinate distributions for azimuths and ellipticity of polarization (polarization maps) in laser images of three types of phase-inhomogeneous layers, namely: rough, ground and bulk scattering layers. To characterize polarization maps for all the types of phase-inhomogeneous layers, the authors have offered to use three groups of parameters: statistical moments of the first to the fourth orders, autocorrelation functions and logarithmic dependences for power spectra related to distributions of azimuths and ellipticity of polarization inherent to phase-inhomogeneous layers laser images. Ascertained are the criteria for diagnostics and classification of phase-inhomogeneous layers optical properties.

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.

Mueller-matrix imaging of laser autofluorescence of biological tissues

The work consists of investigation results of diagnostic efficiency of a new azimuthally stable Muellermatrix method of analysis of laser autofluorescence coordinate distributions of biological tissues histological sections. A new model of generalized optical anisotropy of biological tissues protein networks is proposed in order to define the processes of laser autofluorescence. The influence of complex mechanisms of both phase anisotropy (linear birefringence and optical activity) and linear (circular) dichroism is taken into account. The interconnections between the azimuthally stable Mueller-matrix elements characterizing laser autofluorescence and different mechanisms of optical anisotropy are determined. The statistic analysis of coordinate distributions of such Mueller-matrix rotation invariants is proposed. Thereupon the quantitative criteria (statistic moments of the 1st to the 4th order) of differentiation of histological sections of myometrium – group 1 (fibromyoma) and group 2 (adenocarcinoma) are estimated.

System of the phase tomography of optically anisotropic polycrystalline films of biological fluids

The theoretical background of azimuthally stable method Jones matrix mapping of histological sections of biopsy of uterine neck on the basis of spatial-frequency selection of the mechanisms of linear and circular birefringence is presented. The comparative results of measuring the coordinate distributions of complex degree of mutual anisotropy formed by fibrillar networks of myosin and collagen fibrils of uterine neck tissue of different pathological states - precancer (dysplasia) and cancer (adenocarcinoma) are shown. The values and ranges of change of the statistical (moments of the 1st - 4th order) parameters of complex degree of mutual anisotropy coordinate distributions are studied. The objective criteria of diagnostics of the pathology and differentiation of its severity degree are determined.

Mueller-matrix processing of biological tissues polarization images and reconstruction of parameters phase and amplitude anisotropy

A new azimuthally stable polarimetric method for processing of microscopic images of optically anisotropic structures of different biological layers histological sections is proposed. A new model of phase anisotropy definition of biological tissues by using superposition of Mueller matrices of linear birefringence and optical activity is proposed. The matrix element M44 has been chosen as the main information parameter, which value is independent of rotation angle of both sample and probing beam polarization plane.

Multidimensional Mueller-matrixes microscopy of biological phase-inhomogeneous layers

This research is aimed to investigate the reliability of Mueller-matrix differentiation of birefringence change of optically thick layers of biological tissues at the early stages of the change in their physiological state. This is performed by measuring the set of asymmetry and excess values of Mueller matrix image of the phase element M44 in various points of the object under investigation.

Laser polarization fluorescence of optically anisotropic crystals molecular imaging in the differentiation of biologicalbenign and malignant tumors

The model of laser polarization fluorescence of biological tissues considering the mechanisms of optically anisotropic absorption – linear and circular dichroism of protein networks was suggested.Muellermatrix rotation invariants characterizing polarization manifestations of laser fluorescence are determined.The interconnections between the statistical, correlation and fractal parameters characterizing the Mueller-matrix images of laser polarization fluorescence and the peculiarities of the mechanisms of optically anisotropic absorption of histological sections of uterus wall biopsy were found. Effectiveness of the method of azimuthinvariant Mueller-matrix mapping of laser polarization fluorescence of protein networks in the task of differentiation of benign and malignant tumors of uterus wall was demonstrated.