Foreword xv
About the Editors xvii
Preface xix
Acknowledgments xxi

Part I Methods and Systems of Optical Mapping in Biomedical Research

1 Methods and Systems of Optical Mapping in Biomedical Research 1
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Victoria Kyfyak, and Olena Vinnychuk

1.1 Overview of Modern Optical Mapping Techniques 1

Part II Physical Principles, Algorithms and Methods of 3D Jones-Mueller Digital Holographic Mapping

2 Physical Principles, Algorithms, and Methods of 3D Jones-Mueller Digital Holographic Mapping 31
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Viktor Bachinskiy, Marta Garazdyuk, and Oleksandr Olar

2.1 Physical Principles of 3D Jones-Mueller Digital Holographic Mapping 31
2.2 Phenomenological Models of Optically Anisotropic Tissue and Fluid Samples 32
2.3 Reconstruction of Optical Anisotropy Parameters (Linear and Circular Birefringence and Dichroism) 46

3 Algorithms and Methods of 3D Jones-Mueller Digital Holographic Mapping 61
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Mykhailo Gorsky, Mykhailo Gavryliak, Viktor Bachinskiy, Oleh Vanchuliak, Nataliia Pavlyukovich, Oleksandr Pavlyukovich, and Vitaliy Rozhko

3.1 Digital Holographic Reconstruction and Phase Scanning 61
3.2 Multichannel Polarization-Interference Measurement and Reconstruction of Anisotropy Maps 69

4 Basic Algorithms for Processing 3D Jones-Mueller Digital Holographic Mapping Data 87
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Yuriy Tomka, Mykhailo Gorsky, Mykhailo Gavryliak, Viktor Bachinskiy, Oleh Vanchuliak, Marta Garazdyuk, Nataliia Pavlyukovich, Oleksandr Pavlyukovich, and Vitaliy Rozhko

4.1 Statistical Analysis 87
4.2 Correlation Analysis 87
4.3 Wavelet Analysis 87
4.4 Fractal and Multifractal Analysis 88
4.5 Singular Analysis 90
4.6 Information Analysis 91
4.7 Conclusions 91

Part III Biomedical and Clinical Applications of 3D Jones-Mueller Digital Holographic Mapping

5 Diagnostic Efficiency of 3D Mueller Digital Holographic Mapping 95
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Viktor Bachinskiy, Oleh Vanchuliak, Marta Garazdyuk, Nataliia Pavlyukovich, Oleksandr Pavlyukovich, Vitaliy Rozhko, and Oleksandr Olar

5.1 Phase Waves of Local Depolarization in Biological Tissues 95

6 Differential Mueller-matrix Mapping of Polycrystalline Tissue Components 115
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Viktor Bachinskiy, Oleh Vanchuliak, Marta Garazdyuk, Nataliia Pavlyukovich, Oleksandr Pavlyukovich, Vitaliy Rozhko, and Oleksandr Olar

6.1 Differential Mueller-matrix Imaging of Polycrystalline Networks in Partially Depolarizing Biological Tissues 115
6.2 Mueller-matrix Reconstruction of Optical-anisotropy Parameters of Partially Depolarizing of Polycrystalline Films of Blood in Cancer Diagnostics 120
6.3 Differential Mueller-matrix Diagnostics of Necrotic Changes in the Optical Anisotropy of Depolarizing Myocardial Tissues 123
6.4 Three-dimensional Mueller-matrix Diffuse Tomography of Phase and Amplitude Anisotropy of Depolarizing Layers of Benign and Malignant Tumors 128
6.5 Mueller-matrix Mapping of Fluctuations of Optical-anisotropy Parameters of Biological Tissues Diffusion Layers for Differentiating the Severity Degree of Endometriosis 133
6.6 Polarization-singular Approach to Imaging MMP of Optically Anisotropic Biological Tissues 136

7 Optical Interference-based Approach for Tumor Differentiation 145
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazo