Theoretical bases of 3D Muller-matrix mapping methods for optically anisotropic polycrystalline films of blood are presented. Algorithms for layerwise polarization reconstruction of the parameters of linear and circular birefringence and dichroism are presented. Phase dependencies of the first-fourth-order statistical moments that characterize the parameters of phase and amplitude anisotropy of polycrystalline blood films of healthy and patients with prostate cancer patients are determined. Differential diagnostics of the oncological state with excellent balanced accuracy was realized.
The results of Jones matrix mapping of optically thin, non-depolarizing polycrystalline films of synovial fluid (of human joint at reactive and aseptic synovitis) and urine (of healthy donors – patients with albuminuria) are presented. The Jones-matrix model of polarization manifestations of phase anisotropy mechanisms is presented. The method of experimental measurement of coordinate distributions of the values of the modulus and the phase of the Jones matrix elements is suggested. In the framework of statistical and cross-correlation approaches, the maps of the modulus and phase of the Jones-matrix images of optically thin polycrystalline films of human organs with different pathologies are analyzed. A set of objective parameters (statistical and generalized correlation moments) of differential diagnostics of the reactive and aseptic synovitis of the knee joint, as well as of albuminuria was determined with excellent and good balanced precision.
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.
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.
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.
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.
The paper consists of two parts. The first part presents short theoretical basics of the method of azimuthally-invariant Mueller-matrix description of optical anisotropy of biological tissues. It was provided experimentally measured coordinate distributions of Mueller-matrix invariants (MMI) of linear and circular birefringences of skeletal muscle tissue. It was defined the values of statistic moments, which characterize the distributions of amplitudes of wavelet coefficients of MMI at different scales of scanning. The second part presents the data of statistic analysis of the distributions of amplitude of wavelet coefficients of the distributions of linear birefringence of myocardium tissue died after the infarction and ischemic heart disease. It was defined the objective criteria of differentiation of the cause of death.
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