AUTHOR=Hogan Benjamin T. , Ushenko Volodimyr A. , Syvokorovskaya Anastasia-Vira , Dubolazov Alexander V. , Vanchulyak Oleg Ya. , Ushenko Alexander G. , Ushenko Yuriy A. , Gorsky Mykhailo P. , Tomka Yuriy , Kuznetsov Sergey L. , Bykov Alexander , Meglinski Igor 

TITLE=3D Mueller Matrix Reconstruction of the Optical Anisotropy Parameters of Myocardial Histopathology Tissue Samples

JOURNAL=Frontiers in Physics

VOLUME=9

YEAR=2021

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.737866

DOI=10.3389/fphy.2021.737866

ISSN=2296-424X

ABSTRACT=<p>Diseases affecting myocardial tissues are currently a leading cause of death in developed nations. Fast and reliable techniques for analysing and understanding how tissues are affected by disease and respond to treatment are fundamental to combating the effects of heart disease. A 3D Mueller matrix method that reconstructs the linear and circular birefringence and dichroism parameters has been developed to image the biological structures in myocardial tissues. The required optical data is gathered using a Stokes polarimeter and then processed mathematically to recover the individual optical anisotropy parameters, expanding on existing 2D Mueller matrix implementations by combining with a digital holography approach. Changes in the different optical anisotropy parameters are rationalised with reference to the general tissue structure, such that the structures can be identified from the anisotropy distributions. The first to fourth order statistical moments characterising the distribution of the parameters of the optical anisotropy of the polycrystalline structure of the partially depolarising layer of tissues in different phase sections of their volumes are investigated and analysed. The third and fourth order statistical moments are found to be the most sensitive to changes in the phase and amplitude anisotropy. The possibility of forensic medical differentiation of death in cases of acute coronary insufficiency (ACI) and coronary heart disease (CHD) is considered as a diagnostic application. The optimal phase plane (<inline-formula id="inf1"><mml:math id="m1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>θ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn>0.7</mml:mn><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>) has been found, in which excellent differentiation accuracy is achieved ACI and CHD -<inline-formula id="inf2"><mml:math id="m2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>A</mml:mi><mml:mi>c</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>Δ</mml:mi><mml:msub><mml:mi>Z</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mi>θ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:msub><mml:mi>Φ</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>Δ</mml:mi><mml:mi>L</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mn>93.05</mml:mn><mml:mo>%</mml:mo><mml:mo>÷</mml:mo><mml:mn>95.8</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></inline-formula>. A comparative analysis of the accuracy of the Mueller-matrix reconstruction of the parameters of the optical anisotropy of the myocardium in different phase planes (<inline-formula id="inf3"><mml:math id="m3" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>θ</mml:mi><mml:mo>=</mml:mo><mml:mn>0.9</mml:mn><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula id="inf4"><mml:math id="m4" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>θ</mml:mi><mml:mo>=</mml:mo><mml:mn>1.2</mml:mn><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>), as well as the 2D Mueller-matrix reconstruction method was carried out. This work demonstrates that a 3D Mueller matrix method can be used to effectively analyse the optical anisotropy parameters of myocardial tissues with potential for definitive diagnostics in forensic medicine.</p>