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 Jonesâ"Mueller Digital Holographic Mapping
2 Physical Principles, Algorithms, and Methods of 3D Jonesâ"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 Jonesâ"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 Jonesâ"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 Polarizationâ"Interference Measurement and Reconstruction of Anisotropy Maps 69
4 Basic Algorithms for Processing 3D Jonesâ"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 Interferenceâ"based Approach for Tumor Differentiation 145
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
7.1 Algorithms and Methods of Polarization-interference Mapping of Object Fields of Biological Layers 145
7.2 Polarizationâ"Interference Mapping Biological Layers in Differential Diagnosis of Benign and Malignant Tumors 149
7.3 Polarizationâ"Interference Mapping of Polycrystalline Blood Plasma Films in the Differential Diagnosis of Benign and Malignant Prostate Tumors 155
7.4 3D Digital Holographic Polarimetry of Diffuse Optically Anisotropic Biological Tissue Object Fields 158
7.5 Polarization Interferometry of Optically Anisotropic Architectonics Endometrium Object Fields 170
7.6 Optical Thick Layers Polarization Ellipticity Maps 174
7.7 3D Mueller-matrix Images of Polycrystalline Networks of Biological Tissues with Different Morphological Structures 176Table of Contents ix
7.8 3D Mueller-matrix Differential Diagnostics of Polycrystalline Structure of Benign and Malignant Tumors 183
7.9 Differential 3D Mueller-matrix Mapping of Optically Anisotropic Depolarizing Biological Layers 188
8 Wavelet-enhanced Polarimetry for the Analysis of Different Necrotic and Pathological States 197
Alexander Ushenko, Iryna Soltys, Oleksandr Dubolazov, Olexandra Litvinenko, Olexander Bilookyi, Oleh Wanchuliak, and Yurii Ushenko
8.1 Introduction 197
8.2 Mueller-matrix Interferometric Multifractal Scaling of the Optically Anisotropic Architecture of Diffuse Blood Films: Fundamental and Applied Aspects 210
8.3 Three-dimensional Digital Holographic Scanning and Multifractal Scaling Polarization Maps Biological Fluids Films 225
8.4 Biomedical Applications Examples 231
9 Holographic Scanning of Myocardial Layers 239
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
9.1 Three-dimensional Digital Polarization-holographic Wavelet Histology in Determining the Duration of Mechanical Damage to the Myocardium 239
9.2 Three-dimensional Polarizationâ"Interference Holographic Histology for Wavelet-based Differentiation of the Polycrystalline Component of Biological Tissues with Different Necrotic States 243
9.3 Conclusions 254
10 Three-dimensional Layer-by-layer Digital Multifractal Scanning of Polarization Maps of Biological Tissue Architectonics for Mechanical Trauma Diagnostics 259
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
10.1 Three-dimensional Polarimetry Phase Scanning Method 259
10.2 Objects and Their Characteristics 260
10.3 Experimental Results and Their Discussion 261
10.4 Traditional Histological Methods of Diagnosing the Genesis and Duration of Hemorrhages in the Human Brain 268
10.5 Forensic Medical Assessment of Cerebral Infarction, Hemorrhages of Traumatic and Nontraumatic Genesis Using 3D Mueller-matrix Microscopy 274
11 Imaging of Blood Film Microstructure 289
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
11.1 Three-dimensional Digital Holographic Polarimetry of Laser Speckle Fields Formed by Polycrystalline Blood Films: A Tool for Differential Diagnosis of Thyroid Pathology 289
11.2 Polarization-interference Jones Matrix Sensors of Layer-by-layer Scanning of Polycrystalline Dehydrated Blood Films 300
11.3 Three-dimensional Jones Matrix Tomography Phase and Amplitude Anisotropy Polycrystalline Films of Blood and Its Plasma in the Differential Diagnosis of Prostate Tumors 313
12 Mapping of Biological Fluid Films 323
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Vitaliy Rozhko, Oleksandr Olar, and Vladyslava Sholota
12.1 Laser Medical Jones Matrix Imaging of Polycrystalline Bile Films 323
12.2 Methods and Means of Laser Layer-by-layer Jones Matrix Mapping of Polycrystalline Films of Synovial Fluid 335
12.3 3D Jones Matrix Mapping of Biological Fluid Films 345
12.4 Multifractal Analysis of Jones Matrix Images of the Dichroism of the Polycrystalline Structure of BF in the Early Differential Diagnosis of Gallbladder Disease 358
13 Multifractal Scanning for COVID-19 Diagnostics 371
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Vitaliy Rozhko, Oleksandr Olar, and Vladyslava Sholota
13.1 Blood Plasma Films Multifractal Scanning in COVID-19 Consequences Diagnostics 371
13.2 Layer-by-layer Multifractal Analysis of the Optically Anisotropic Structure of Blood Plasma Films: Fundamental and Applied Perspectives 379
14 Scanning of Blood Films for Organ Pathology 395
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Vitaliy Rozhko, Oleksandr Olar, and Vladyslava Sholota
14.1 Objects of Investigations 395
14.2 Jones Matrix Maps of Linear and Circular Birefringence of Blood Films 395
14.3 Jones Matrix Maps of Linear and Circular Dichroism of Blood Films 399
14.4 Wavelet Analysis of Phase Anisotropy Maps of Blood Films 401
14.5 Wavelet Analysis of the Amplitude Anisotropy in Blood Films Maps 404
14.6 Comparative Analysis of the Diagnostic Effectiveness of Layered Polarizationâ"Interference Mapping and Jones Matrix Mapping Methods for Blood Films 406
14.7 Conclusions 408
15 Polarimetry of Blood Films for Thyroid Pathology 411
Yurii Ushenko, Weidong Dou, Oleksandr Ushenko, Oleksandr Dubolazov, Iryna Soltys, Vitaliy Rozhko, Oleksandr Olar, and Vladyslava Sholota
15.1 Three-dimensional Digital Holographic Polarimetry of Laser Speckle Fields from Polycrystalline Blood Films for the Identification of Thyroid Diseases 411
15.2 Polarizationâ"phase Holographic Layer-by-layer Scanning of Polycrystalline Architectonics in Blood Films 423
References 434
Appendix-A1: Programs for 3D Jonesâ"Mueller Holographic Reconstruction 439
Appendix-A2: Programs for Layer-by-layer Reconstruction of Polycrystalline Structures 445
Appendix-A3: Programs for Statistical and Correlation Data Analysis 449
Appendix-A4: Album of Mueller-matrix Images 453
Appendix-A5: Album of Optical Anisotropy Maps 459
Conclusion 465
Index 467
