An optical model for generalized optical anisotropy of polycrystalline networks of albumin and globulin liquor of the human brain has been suggested. The polarization-phase method for spatial and frequency differentiation of linear and circular birefringence coordinate distributions has been analytically substantiated. A set of criteria documenting the dynamics of polarization-phase images of liquor polycrystalline films has been identified in determining time of death.

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.

.SignificanceMueller-matrix polarimetry is a powerful method allowing for the visualization of malformations in biological tissues and quantitative evaluation of alterations associated with the progression of various diseases. This approach, in fact, is limited in observation of spatial localization and scale-selective changes in the poly-crystalline compound of tissue samples.AimWe aimed to improve the Mueller-matrix polarimetry approach by implementing the wavelet decomposition accompanied with the polarization-singular processing for express differential diagnosis of local changes in the poly-crystalline structure of tissue samples with various pathology.ApproachMueller-matrix maps obtained experimentally in transmitted mode are processed utilizing a combination of a topological singular polarization approach and scale-selective wavelet analysis for quantitative assessment of the adenoma and carcinoma histological sections of the prostate tissues.ResultsA relationship between the characteristic values of the Mueller-matrix elements and singular states of linear and circular polarization is established within the framework of the phase anisotropy phenomenological model in terms of linear birefringence. A robust method for expedited (up to ∼15  min) polarimetric-based differential diagnosis of local variations in the poly-crystalline structure of tissue samples containing various pathology abnormalities is introduced.ConclusionsThe benign and malignant states of the prostate tissue are identified and assessed quantitatively with a superior accuracy provided by the developed Mueller-matrix polarimetry approach.

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