3D Mueller-matrix-based azimuthal invariant tomography of polycrystalline structure within benign and malignant soft-tissue tumours

Motahareh Peyvasteh,Oleg Vanchulyak,Alexander Ushenko,Vladimir Ushenko,Alexander Bykov,Anastasia-Vira Syvokorovskaya,Maxim Sidor,Yuri Ushenko,Mykhailo Gorsky,Liliya Tryfonyuk,Igor Meglinski,Alexander Dubolazov,Yuriy Tomka,Iryna Soltys

doi:10.1088/1612-202x/abbee0

Abstract

We introduce a method of azimuthally invariant 3D Mueller-matrix (MM) layer-by-layer mapping of the phase and amplitude parameters of anisotropy of the partially depolarizing layers of benign (adenoma) and malignant (carcinoma) prostate tumours. The technique is based on the analysis of spatial variations of Mueller matrix invariant (MMI) of histological sections of benign (adenoma) and malignant (carcinoma) tissue samples. The phase dependence of magnitudes of the first-to-fourth order statistical moments is applied to characterize 3D spatial distributions of MMI of linear and circular birefringence and dichroism of prostate tumours. The high order statistical moments and phase sections of the optimal differentiation of the polycrystalline structure of tissue samples are revealed. The obtained results are compared with the results obtained by conventional methods utilizing polarized light, including 2D and 3D Mueller matrix imaging.

Highlights

We introduce a method of azimuthally invariant 3D Mueller-matrix (MM) layer-by-layer mapping of the phase and amplitude parameters of anisotropy of the partially depolarizing layers of benign and malignant prostate tumours
The technique is based on the analysis of spatial variations of Mueller matrix invariant (MMI) of histological sections of benign and malignant tissue samples
The obtained results are compared with the results obtained by conventional methods utilizing polarized light, including 2D and 3D Mueller matrix imaging

Summary

Introduction

The methods and means of polarisation-based diagnostics of biological tissues are extensively used in biomedical optics [1–4], including a number of subjects, such as: investigation of scattering matrices [5–9], polarization modeling of Monte Carlo [10–13], polarization spectroscopy [14–16], Mueller-matrix (MM) polarimetry [17–21], polar decomposition of MMs [22, 23], 2D MM mapping [24–27] within the framework of various model approximations [28– 31] and other. The variety of these polarization methods combines following common points:. Our article is aimed at the development and experimental validation of the diagnostic effectiveness of the method of azimuthally invariant MM tomography of the polycrystalline structure of histological sections of biopsy of benign and malignant tumors of the prostate

F11 F12 F13 F14 F21 F22 F23 F24 F31 F32 F33 F34 F41 F42 F43 F44

Principles of 3D azimuthally-invariant MM differential diagnostics

Analysis and discussion of the experimental results

Findings

Disclosures

Conclusion