O. V. Olar

Clinical applications of the Mueller-matrix reconstruction of the polycrystalline structure of multiple-scattering biological tissues

A multilayered model of the optical anisotropy of the light-scattering layer of biological tissue is considered. The Muller matrix of the depolarizing layer is represented as a superposition of partial matrix operators for linear and circular birefringence-dichroism. For multiple scattering, an algorithm is proposed for the expansion of the Muller matrix in the form of two components. The first is the fully polarized component of the Muller matrix. The second is the completely depolarized component of the Muller matrix. The algorithms for measuring the elements of the fully polarized component of the Muller matrix for distributions of the phase and amplitude anisotropy of the depolarizing biological tissue are found. Maps of the distributions of the completely polarized component of the Muller matrix elements of histological sections of healthy and diabetic rats liver tissue have been studied. Sensitivity, specificity and balanced accuracy of the Muller-matrix reconstruction method of the polycrystalline structure of multiply scattering biological tissues are determined. Within the framework of the statistical analysis of the maps of the elements of the fully polarized component of the Muller matrix, histological sections of the liver tissue, objective criteria for the differentiation of healthy and diabetic rats have been found.

System of differential Mueller-matrix mapping of phase and amplitude anisotropy of depolarizing biological tissues

The possibility of solving the inverse problem - extraction of information about linear and circular birefringence and dichroism of light scattering biological layers is considered. An analytical model of the optical anisotropy of depolarizing biological tissues is proposed. The Mueller matrix is represented as a superposition of differential matrices of the first and second orders. Interrelations between the parameters of phase and amplitude anisotropy and elements of a first-order differential matrix are obtained. The algorithms for the experimental measurement of the coordinate distributions of the elements of the polarization component of the Mueller matrix of depolarizing biological tissue are found. The symmetry and features of first-order differential matrices of fibrillar (muscle) and parenchymal (liver) depolarizing biological tissues are investigated. The interrelations between the statistical moments of the first and fourth orders and the features of the morphological polycrystalline structure of the biological tissues of various human organs are found. The ways of application of the differential Mueller-matrix mapping method in clinical diagnostics of the distribution of the phase and amplitude anisotropy distributions are proposed.

System of Mueller matrix polarization correlometry of biological polycrystalline layers

The model of the azimuthally invariant Mueller-matrix description of polarization-correlation mechanisms of optical anisotropy that typical for polycrystalline layers of the histological sections of biological tissues is suggested. Within the statistical analysis of the ranges of linear and circular birefringence, dichroism, the objective criteria for the differentiation of myocardium histological sections were determined. From the point of view of probative medicine the ranges of variation of the statistical parameters that characterize the Mueller-matrix invariants of optical anisotropy parameters were found.

Polarization-interference mapping of biological fluids polycrystalline films in differentiation of weak changes of optical anisotropy

The theoretical background of the azimuthally stable method of polarization-interference mapping of the histological sections of the biopsy of the prostate tissue on the basis of the spatial frequency selection of the mechanisms of linear and circular birefringence is presented. The diagnostic application of a new correlation parameter – complex degree of mutual anisotropy – is analytically substantiated. The method of measuring coordinate distributions of complex degree of mutual anisotropy with further spatial filtration of their high- and low-frequency components is developed. The interconnections of such distributions with parameters of linear and circular birefringence of prostate tissue histological sections are found. The objective criteria of differentiation of benign and malignant conditions of prostate tissue are determined.

Mueller-matrix differentiation of fibrillar networks of biological tissues with different phase and amplitude anisotropy

The work consists of investigation results of diagnostic efficiency of a new azimuthally stable Mueller-matrix 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 uterus wall tumor – group 1 (dysplasia) and group 2 (adenocarcinoma) are estimated.

Methods and means of Fourier-Stokes polarimetry and the spatial frequency filtering of phase anisotropy manifestations

The theoretical background of azimuthally stable method of Jones-matrix mapping of histological sections of biopsy of myocardium tissue on the basis of spatial frequency selection of the mechanisms of linear and circular birefringence is presented. The diagnostic application of a new correlation parameter – complex degree of mutual anisotropy – is analytically substantiated. The method of measuring coordinate distributions of complex degree of mutual anisotropy with further spatial filtration of their high- and low-frequency components is developed. The interconnections of such distributions with parameters of linear and circular birefringence of myocardium tissue histological sections are found. The comparative results of measuring the coordinate distributions of complex degree of mutual anisotropy formed by fibrillar networks of myosin fibrils of myocardium tissue of different necrotic states – dead due to coronary heart disease and acute coronary insufficiency 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 differentiation of cause of death are determined.

Mueller-matrix invariants of optical anisotropy of the bile polycrystalline films in the diagnosis of human liver pathologies

The model of Mueller-matrix description of mechanisms of optical anisotropy typical for polycrystalline films of bile - optical activity, birefringence, as well as linear and circular dichroism - is suggested. Within the statistical analysis of such distributions the objective criteria of differentiation of films of bile from the dead you people different times were determined. From the point of view of probative medicine the operational characteristics (sensitivity, specificity and accuracy) of the method of Muellermatrix reconstruction of optical anisotropy parameters were found and its efficiency in another task - diagnostics of diseases of internal organs of rats was demonstrated.

Polarization-correlation microscopy of human liquid polycrystalline films in infertility diagnosis

A new azimuthally stable polarimetric method for processing of microscopic images of optically anisotropic structures of different biological layers blood plasma 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.

The structure of polarization maps of skin histological sections in the Fourier domain for the tasks of benign and malignant formations differentiation

The optical model of birefringent networks of biological tissues is presented. The technique of Fourier polarimetry for selection of manifestations of linear and circular birefringence of protein fibrils is suggested. The results of investigations of statistical (statistical moments of the 1st-4th orders), correlation (dispersion and excess of autocorrelation functions) and scalar-self-similar (logarithmic dependencies of power spectra) structure of Fourier spectra of polarization azimuths distribution of laser images of skin samples are presented. The criteria of differentiation of postoperative biopsy of benign (keratoma) and malignant (adenocarcinoma) skin tumors are determined.

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.