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Fourier-domain Jones-matrix mapping of a complex degree of mutual anisotropy in differentiation of biological tissues’ pathological states

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Abstract

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.

© 2014 Optical Society of America

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