O. V. Dubolazov

Mueller-matrix of laser-induced autofluorescence of polycrystalline films of dried peritoneal fluid in diagnostics of endometriosis.

Abstract. This research presents investigation results of the diagnostic efficiency of an azimuthally stable Mueller-matrix method of analysis of laser autofluorescence of polycrystalline films of dried uterine cavity peritoneal fluid. A model of the generalized optical anisotropy of films of dried peritoneal fluid is proposed in order to define the processes of laser autofluorescence. The influence of complex mechanisms of both phase (linear and circular birefringence) and amplitude (linear and circular dichroism) anisotropies is taken into consideration. The interconnections between the azimuthally stable Mueller-matrix elements characterizing laser autofluorescence and different mechanisms of optical anisotropy are determined. The statistical analysis of coordinate distributions of such Mueller-matrix rotation invariants is proposed. Thereupon the quantitative criteria (statistic moments of the first to the fourth order) of differentiation of polycrystalline films of dried peritoneal fluid, group 1 (healthy donors) and group 2 (uterus endometriosis patients), are determined.

Jones-matrix tomography of biological tissues phase anisotropy in the diagnosis of uterus wall prolapse

The work consists of two parts. In the first part - we mapped a distribution of optical activity and birefringence in polycrystalline networks of biological tissues. The Jones-matrix formalism is used for accessible quantitative description of these types of optical anisotropy. We demonstrate that differentiation of polycrystalline networks of biological tissues can be performed based on the statistical analysis of distribution of rotation angles and phase shifts associated with the optical activity and birefringence, respectively. In the second part we defined - practical operational characteristics, such as sensitivity, specificity and accuracy of Jones-matrix reconstruction of optical anisotropy were identified with the special emphasis on biomedical application, specifically for differentiation of two types of pathology: prolapse and albuminuria.

Stokes-correlometry of polarization-inhomogeneous objects

The paper consists of two parts. The first part presents short theoretical basics of the method of Stokes-correlometry description of optical anisotropy of biological tissues. It was provided experimentally measured coordinate distributions of modulus (MSV) and phase (PhSV) of complex Stokes vector of skeletal muscle tissue. It was defined the values and ranges of changes of statistic moments of the 1st-4th orders, which characterize the distributions of values of MSV and PhSV. The second part presents the data of statistic analysis of the distributions of modulus MSV and PhSV. It was defined the objective criteria of differentiation of samples with urinary incontinence.

Polarization-interference Jones-matrix mapping of biological crystal networks

The paper consists of two parts. The first part presents short theoretical basics of the method of Jones-matrix mapping with the help of reference wave. It was provided experimentally measured coordinate distributions of modulus of Jones-matrix elements of polycrystalline film of bile. It was defined the values and ranges of changing of statistic moments, which characterize such distributions. The second part presents the data of statistic analysis of the distributions of matrix elements of polycrystalline film of urine of donors and patients with albuminuria. It was defined the objective criteria of differentiation of albuminuria.

Statistical analysis of polarization interference images of biological fluids polycrystalline films in the tasks of optical anisotropy weak changes differentiation

In this paper, we present the results of a statistical analysis of polarization-interference images of optically thin histological sections of biological tissues and polycrystalline films of biological fluids of human organs. A new analytical parameter is introduced-the local contrast of the interference pattern in the plane of a polarizationinhomogeneous microscopic image of a biological preparation. The coordinate distributions of the given parameter and the sets of statistical moments of the first-fourth order that characterize these distributions are determined. On this basis, the differentiation of degenerative-dystrophic changes in the myocardium and the polycrystalline structure of the synovial fluid of the human knee with different pathologies is realized.

Degree of local depolarization of laser radiation fields sorted by multi-layer birefringence networks of protein crystals

A new analytic parameter-the degree of local depolarization (LPD) of the laser field-is theoretically justified. The technique of experimental measurement of LPD maps is presented. Sets of diagnostic parameters-statistical moments of the first-fourth order, the correlation area and the variance of the logarithmic distribution of the LPD power spectra are obtained. Differential diagnostics of rat skin carcinoma was realized.

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.

Polarization-interference images of optically anisotropic biological layers

A theoretical basis for the method of polarization-interference mapping of optically thin polycrystalline films of human biological fluids is given. The coordinate distributions of the value of the local contrast of the interference distributions of the polarization-inhomogeneous microscopic images of polycrystalline films of the synovial fluid of the human joint are investigated. In the framework of the statistical (statistical moments of the 1st-4th order) approaches, objective criteria for the distribution of the values of local contrast are established. The possibility of differentiation of weak changes in the optical anisotropy of blood films of healthy and patients with breast cancer patients is determined.

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.