Embossed topographic depolarisation maps of biological tissues with different morphological structures

Abstract

Layered topographic maps of the depolarisation due to diffuse biological tissues are produced using a polarisation-holographic Mueller matrix method approach. Histological sections of myocardial tissue with a spatially structured optically anisotropic fibrillar network, and parenchymal liver tissue with a polycrystalline island structure are successfully mapped. The topography of the myocardium maps relates to the scattering multiplicity within the volume and the specific morphological structures of the biological crystallite networks. The overall depolarisation map is a convolution of the effects of these two factors. Parenchymal liver tissues behave broadly similarly, but the different biological structures present cause the degree of scattering multiplicity to increase more rapidly with increasing phase. Through statistical analysis, the dependences of the magnitudes of the first to fourth order statistical moments are determined. These moments characterise the changing distributions of the depolarisation values through the volume of biological tissues with different morphological structures. Parenchymal liver tissue depolarisation maps are characterised by larger mean and variance, and less skewness and kurtosis, compared to the distributions for the myocardium. This work demonstrates that a polarisation-holographic Mueller matrix method can be applied to the assessment of the 3D morphology of biological tissues, with applications in disease diagnosis.

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

“…Thus, such a polarization-interference-based cultivation Eqs 13-15, 18, 19 of elements of the first-order differential matrix Eqs 1-10 provides layer-by-layer maps of linear and circular birefringence and dichroism of the myocardial fibrillary networks. This approach extends significantly the functionality of the 3D Mueller-matrix imaging technique for depolarization mapping of diffuse biological layers [48,49], that presently utilized only diagonal elements of the resulting Mueller matrix Eq. 19.…”

“…The 2D Mueller matrix reconstruction of the distributions of linear and circular birefringence and dichroism within biological layers has previously been considered in detail [48]. The matrix operator D characterises the distribution of the mean values of the parameters of the phase (Φ) and amplitude (Δ) anisotropy.…”

“…The key principle for the determination of a threedimensional layered series of distributions of Mueller matrix elements F ik (x, y, z) is the use of a reference laser radiation wave [48,49]. The six distinct polarization states are obtained in both the illuminating (Zond) and reference (Ref) beams: {Zond-Ref} > 0 °; 90 °; 45 °; 135 °; ⊗; ⊕ utilizing polarizer.…”

“…The experimental results of 3D layer-by-layer Mueller-matrix reconstruction are presented as embossed topographic maps [48] of linear and circular birefringence (Figure 8) and dichroism (Figure 9) of ACI and CHD myocardial histological tissue samples.…”

Polarization-Based Histopathology Classification of Ex Vivo Colon Samples Supported by Machine Learning

“…Such an inevitable obstacle could be overcome by adopting various multimodal optical techniques for providing adequate support to clinicians [15][16][17][18][19]. It was shown earlier that tissue polarimetry techniques could be effectively combined to juxtapose polarization and depolarization parameters from different health conditions after scanning, embrace the Poincaré sphere visualization for qualitative differentiation, and construct various depolarization spaces [20][21][22][23][24][25][26][27][28]. Ample diagnostic information related to the morphology of the tissue specimens under study is encoded in their Mueller matrices [26,[29][30][31][32].…”