Preface xv
Part 1: General Issues 1
1 Introduction for a Tutorial on Diatom Morphology 3
Kalina Manoylov and Mohamed Ghobara
1.1 Diatoms in Brief 3
1.2 Tools to Explore Diatom Frustule Morphology 7
1.3 Diatom Frustule 3D Reconstruction 12
1.3.1 Recommended Steps to Understand the Complex Diatom Morphology: A Guide for Beginners 13
1.4 Conclusion 15
Acknowledgements 15
References 15
2 The Uncanny Symmetry of Some Diatoms and Not of Others: A Multi-Scale Morphological Characteristic and a Puzzle for Morphogenesis 19
Janice L. Pappas, Mary Ann Tiffany and Richard Gordon
2.1 Introduction 20
2.1.1 Recognition and Symmetry 21
2.1.2 Symmetry and Growth 24
2.1.3 Diatom Pattern Formation, Growth, and Symmetry 25
2.1.4 Diatoms and Uncanny Symmetry 27
2.1.5 Purpose of This Study 28
2.2 Methods 28
2.2.1 Centric Diatom Images Used for Analysis 28
2.2.2 Centric Diatoms, Morphology, and Valve Formation 34
2.2.3 Image Entropy and Symmetry Measurement 36
2.2.4 Image Preparation for Measurement 37
2.2.5 Image Tilt and Slant Measurement Correction for Entropy Values 38
2.2.6 Symmetry Analysis 39
2.2.7 Entropy, Symmetry, and Stability 40
2.2.8 Randomness and Instability 42
2.3 Results 43
2.3.1 Symmetry Analysis 43
2.3.2 Valve Formationâ"Stability and Instability Analyses 49
2.4 Discussion 51
2.4.1 Symmetry and Scale in Diatoms 55
2.4.2 Valve Formation and Stability 56
2.4.3 Symmetry, Stability and Diatom Morphogenesis 57
2.4.4 Future Researchâ"Symmetry, Stability and Directionality in Diatom
Morphogenesis 58
References 59
3 On the Size Sequence of Diatoms in Clonal Chains 69
Thomas Harbich
3.1 Introduction 70
3.2 Mathematical Analysis of t he Size Sequence 73
3.2.1 Alternative Method for Calculating the Size Sequence 73
3.2.2 Self-Similarity and Fractal Structure 75
3.2.3 Matching Fragments to a Generation Based on Known Size Indices of the Fragment 76
3.2.4 Sequence of the Differences of the Size Indices 78
3.2.5 Matching Fragments to a Generation Based on Unknown Size Indices of the Fragment 80
3.2.6 Synchronicity of Cell Divisions 81
3.3 Observations 82
3.3.1 Challenges in Verifying the Sequence of Sizes 82
3.3.2 Materials and Methods 83
3.3.3 Investigation of the Size Sequence of a Eunotia sp. 84
3.3.4 Synchronicity 86
3.4 Conclusions 87
Acknowledgements 88
Appendix 3A L-System for the Generation of the Sequence of Differences in Size Indices of Adjacent Diatoms 88
Appendix 3B Probability Consideration for Loss of Synchronicity 89
References 91
4 Valve Morphogenesis in Amphitetras antediluviana Ehrenburg 93
Mary A. Tiffany and Bonnie L. Hurwitz
4.1 Introduction 93
4.2 Material and Methods 94
4.3 Observations 94
4.3.1 Amphitetras antediluviana Mature Valves 94
4.3.2 Amphitetras antediluviana Forming Valves 96
4.3.3 Amphitetras antediluviana Girdle Band Formation 101
4.4 Conclusion 101
Acknowledgments 102
References 102
Glossary 104
Part 2: Simulation 105
5 Geometric Models of Concentric and Spiral Areola Patterns of Centric Diatoms 107
Anton M. Lyakh
5.1 Introduction 107
5.2 Set of Common Rules Used in the Models 109
5.3 Concentric Pattern of Areolae 109
5.4 Spiral Patterns of Areolae 110
5.4.1 Unidirectional Spiral Pattern 111
5.4.2 Bidirectional Spiral Pattern 113
5.4.3 Common Genesis of Unidirectional and Bidirectional Spiral Patterns 113
5.5 Conversion of an Areolae-Based Model Into a Frame-Based Model 114
5.6 Conclusion 114
Acknowledgements 114
References 115
6 Diatom Pore Arraysâ Periodicities and Symmetries in the Euclidean Plane: Nature Between Perfection and Imperfection 117
Mohamed M. Ghobara, Mary Ann Tiffany, Richard Gordon and Louisa Reissig
6.1 Introduction 118
6.2 Materials and Methods 122
6.2.1 Micrograph Segmentation 123
6.2.2 Two-Dimensional Fast Fourier Analysis and Autocorrelation Function Analysis 123
6.2.3 Lattice Measurements and Recognition 123
6.2.4 Accuracy of 2D ACF-Based Calculations 125
6.2.5 The Perfection of the Unit Cell Parameters Between Different Parts (Groups of Pore Arrays) of the Same Valve and the Same Micrograph 126
6.3 Results and Discussion 126
6.3.1 Toward Standardization of the Methodology for the Recognition of 2D Periodicities of Pore Arrays in Diatom Micrographs 126
6.3.1.1 Using Two-Dimensional Fast Fourier Transform Analysis 126
6.3.1.2 Using Two-Dimensional Autocorrelation Function 131
6.3.1.3 The Accuracy of Lattice Parametersâ Measurements Using the Proposed 2D ACF Analysis 134
6.3.2 Exploring the Periodicity in Our Studied Micrographs and the Possible Presence of Different Types of 2D Lattices in Diatoms 137
6.3.2.1 Irregular Pore Scattering (Non-Periodic Pores) 137
6.3.2.2 Linear Periodicity of Pores in Striae (1D Periodicity) 138
6.3.2.3 The Different 2D Lattices in Diatom Pore Arrays 140
6.3.3 How Perfectly Can Diatoms Build Their 2D Pore Arrays? 146
6.3.3.1 Variation of the 2D Lattice Within the Connected Pore Array of the Valve 146
6.3.3.2 Comparison of 2D Lattice Parameters and Degree of Perfection of Distinct Pore Array Groups in the Same Micrograph and Valve but With Different Rotational or Reflection Symmetry 148
6.3.3.3 The Perfection of 2D Lattices of Diatom Pore Arrays Compared to Perfect (Non-Oblique) 2D Bravais Lattices 148
6.3.4 Planar Symmetry Groups to Describe the Whole Diatom Valve Symmetries and Additionally Describe the Complicated 2D Periodic Pore Arraysâ Symmetries 149
6.3.4.1 Rosette Groups 150
6.3.4.2 Frieze Groups 151
6.3.4.3 Wallpaper Groups 153
6.4 Conclusion 153
Acknowledgment 154
Glossary 154
References 155
7 Quantified Ensemble 3D Surface Features Modeled as a Window on Centric Diatom Valve Morphogenesis 159
Janice L. Pappas
7.1 Introduction 159
7.1.1 From 3D Surface Morphology to Morphogenesis 160
7.1.2 Geometric Basis of 3D Surface Models and Analysis 163
7.1.3 Differential Geometry of 3D Surface 163
7.1.4 3D Surface Feature Geometry and Morphological Attributes 165
7.1.5 Centric Diatom Taxa Used as Exemplars in 3D Surface Models for Morphogenetic Analysis 166
7.1.6 Morphogenetic Descriptors of Centric Diatoms in Valve Formation as Sequential Change in 3D Surface Morphology 166
7.1.7 Purposes of This Study 167
7.2 Methods 168
7.2.1 Measurement of Ensemble Surface Features and 3D Surface Morphology: Derivation and Solution of the Jacobian, Hessian, Laplacian, and Christoffel Symbols 168
7.2.1.1 The Jacobian of 3D Surface Morphology 168
7.2.1.2 Monge Patch 169
7.2.1.3 First and Second Fundamental Forms and Surface Characterization of the Monge Patch 169
7.2.1.4 3D Surface Characterization via Gauss and Weingarten Maps and the Fundamental Forms 170
7.2.1.5 Peaks, Valleys, and Saddles of Surface Morphology and the Hessian 170
7.2.1.6 Smoothness as a Characterization of Surface Morphology and the Laplacian 171
7.2.1.7 Point Connections of 3D Surface Morphology and Christoffel Symbols 171
7.2.1.8 Protocol for Using Centric Diatom 3D Surface Models and Their Ensemble Surface Features in Valve Formation Analysis 173
7.3 Results 174
7.4 Discussion 184
7.4.1 Ensemble Surface Features and Physical Characteristics of Valve Morphogenesis 186
7.4.2 Factors Affecting Valve Formation 187
7.4.3 Diatom Growth Patternsâ"Buckling and Wave Fronts 187
7.4.4 Valve Formation, Ensemble Surface Features, and Self-Similarity 189
7.4.5 Diatom Morphogenesis: Cytoplasmic Inheritance and Phenotypic Plasticity 189
7.4.6 Phenotypic Variation and Ensemble Surface Features: Epistasis and Canalization 190
7.5 Conclusions 190
Acknowledgment 191
References 191
8 Buckling: A Geometric and Biophysical Multiscale Feature of Centric Diatom Valve Morphogenesis 195
Janice L. Pappas and Richard Gordon
8.1 Introduction 196
8.2 Purpose of Study 197
8.3 Background: Multiscale Diatom Morphogenesis 198
8.3.1 Valve Morphogenesisâ"Schemata of Schmid and Volcani and of Hildebrand, Lerch, and Shrestha 198
8.3.2 Valve Formationâ"An Overview at the Microscale 199
8.3.3 Valve Formationâ"An Overview at the Meso- and Microscale 200
8.3.4 Valve Formationâ"An Overview at the Meso- and Nanoscale 200
8.4 Biophysics of Diatom Valve Formation and Buckling 201
8.4.1 Buckling as a Multiscale Measure of Valve Formation 201
8.4.2 Valve Formationâ"Cytoplasmic Features and Buckling 202
8.4.3 Buckling: Microtubule Filaments and Bundles 203
8.4.4 Buckling: Actin Filament Ring 204
8.5 Geometrical and Biophysical Aspects of Buckling and Valve Formation 205
8.5.1 Buckling: Geometry of Valve Formation as a Multiscale Wave Front 205
8.5.2 Buckling: Valve Formation and Hamiltonian Biophysics 207
8.5.3 Buckling: Valve Formation and Deformation Gradients 208
8.5.4 Buckling: Multiscale Measurement With Respect to Valve Formation 210
8.5.5 Buckling: Krylov Methods and Association of Valve Surface Buckling With Microtubule and Actin Buckling 210
8.6 Methods 211
8.6.1 Constructing and Analyzing 3D Valve Surface and 2D Microtubule and Actin Filament Models 211
8.6.2 Krylov Methods: Associating Valve Surface With Microtubule and Actin Filament Buckling 212
8.7 Results 212
8.8 Conclusion 216
References 223
9 Are Mantle Profiles of Circular Centric Diatoms a Measure of Buckling Forces During Valve Morphogenesis? 231
Janice L. Pappas and Richard Gordon
9.1 Introduction 231
9.2 Methods 233
9.2.1 Background: Circular Centric 2D Profiles and 3D Surfaces of Revolution 236
9.3 Results 238
9.3.1 Approximate Constant Profile Length Representing Approximate Same Sized Valves 239
9.3.2 Change in Profile Length Representing Size Reduction During Valve Morphogenesis 240
9.3.2.1 Inferences About Complementarity and Heterovalvy 242
9.3.3 Are Profiles Measures of Buckling Forces During Valve Morphogenesis? 243
9.4 Discussion 245
9.4.1 Laminated Structures and Mantle Buckling Forces Affecting the Valve Profile 247
9.5 Conclusion 248
Acknowledgement 248
References 248
Part 3: Physiology, Biochemistry and Applications 251
10 The Effect of the Silica Cell Wall on Diatom Transport and Metabolism 253
Mark Hildebrand
Publications by and about Mark Hildebrand 254
11 Diatom Plasticity: Trends, Issues, and Applications on Modern and Classical Taxonomy, Ecoâ'Evolutionary Dynamics, and Climate Change 261
Lawrence Victor D. Vitug
11.1 Introduction 261
11.2 Model Species: Phaeodactylum tricornutum 262
11.3 Transformation Mechanisms of P. tricornutum 263
11.4 Future Advances in the Phenotypic Plasticity on P. tricornutum 263
11.4.1 Genomic and Molecular Mechanisms in Diatom Phenotypic Plasticity 263
11.4.2 Biogeography of Diatoms 263
11.4.3 Eco-Evolutionary Dynamics Approach on Diatoms Phenotypic Plasticity 264
11.4.4 Adaptive Behavior and Evolutionary Changes in Diatoms Linking to Diatom Plasticity 265
11.4.5 Climate Change and Phenotypic Plasticity 265
11.5 Conclusion 265
References 265
12 Frustule Photonics and Light Harvesting Strategies in Diatoms 269
Johannes W. Goessling, Yanyan Su, Michael K¼hl and Marianne Ellegaard
12.1 Introduction 270
12.2 Light Spectral Characteristics and Signaling 274
12.2.1 Variation of Light Regimes 274
12.2.2 Light Perception and Signaling 275
12.3 Photosynthesis and Photo-Protection in Diatoms 276
12.3.1 Pigment-Based Light Absorption 276
12.3.2 Molecular Photo-Protection Mechanisms 276
12.3.3 Intracellular Structural Adaptation in Response to Light 277
12.3.4 Motility as a Unique Photo-Protection Mechanism 278
12.4 Frustule Photonics Related to Diatom Photobiology 279
12.4.1 An Extracellular Structure With Optical Properties 279
12.4.2 Intraspecific and Intra-Individual Variation of Frustule Periodicity 281
12.4.3 Photonic Crystal Properties 281
12.4.4 Light Confinement and Focusing 282
12.4.5 Scattering and Dispersion of Light 283
12.4.6 Attenuation of UV Light for Photo-Protection 283
12.5 Frustule Photonics in Light of Niche Differentiation 285
12.6 Conclusion 291
References 292
13 Steps of Silicic Acid Transformation to Siliceous Frustules: Main Hypotheses and Discoveries 301
Vadim V. Annenkov, Elena N. Danilovtseva and Richard Gordon
13.1 Introduction 301
13.2 Penetration of the Boundary Layer: The Diatom as an Antenna for Silica 303
13.3 Getting Past the Cloud of Extracellular Material 304
13.4 Adsorption of Silica Onto the Outer Organic Coat of the Diatom 305
13.5 Getting Past the Silica Frustule or Through Its Pores 306
13.6 Getting Past the Inner Organic Coat, the Diatotepum 306
13.7 Transport of Silica Across the Cell Membrane 307
13.8 Cytoplasm Storage and Trafficking of Silica to the Places of Synthesis of the Frustule Parts 309
13.9 Transport and Patterning of Silica Across the Silicalemma 311
13.10 Precipitation and Morphogenesis of the Nascent Valve Within the Silicalemma 314
13.11 Thickening of the Valve Within the Silicalemma 319
13.12 Exteriorization of the Valve 321
13.13 Future Work Needed 321
13.14 Conclusion 323
References 326
14 The Effects of Cytoskeletal Inhibitors on Diatom Valve Morphogenesis 349
Yekaterina D. Bedoshvili and Yelena V. Likhoshway
14.1 Introduction 349
14.2 Cytoskeleton and Its Role in Cell Morphogenesis 350
14.3 Abnormalities of Diatom Valve Morphogenesis Induced by Cytoskeleton Inhibitors 352
14.4 Conclusion 358
Acknowledgment 360
References 360
15 Modeling Silicon Pools in Diatoms Using the Chemistry Toolbox 365
Argyro Spinthaki and Konstantinos D. Demadis
15.1 Diatoms 365
15.2 âSilicon Poolsâ Biology 366
15.3 Silica Particle Formation From Silicic Acid 366
15.4 Stabilization of âSolubleâ Silica Species (Monosilicic and Disilicic Acids) 370
15.4.1 Cationic Polymers 370
15.4.2 Neutral (Uncharged) Polymers 372
15.4.3 Zwitterionic Polymers 373
15.4.4 Blends of Cationic/Anionic Polymers 375
15.5 Chemical Mechanisms 376
15.6 Conclusions/Perspectives 377
Acknowledgments 378
References 378
16 The Mesopores of Raphid Pennate Diatoms: Toward Natural Controllable Anisotropic Mesoporous Silica Microparticles 383
Mohamed M. Ghobara, Richard Gordon and Louisa Reissig
16.1 Introduction 384
16.2 Morphology and Very Fine Ultrastructure of Diatom Frustules 386
16.3 Synthetic Mesoporous Silica 391
16.4 The Potential of Raphid Pennatesâ Mesoporous Bio-Silica, Similarities, and Dissimilarities Compared With Synthetic MSM/Ns 393
16.4.1 The Current Potential of Diatom Porous Silica in Applications 393
16.4.2 Why Should We Be Interested in the Mesoporous Silica of Raphid Pennate Frustules if the Frustules of Other Species With Larger Pores Work? 393
16.4.3 Similarities and Dissimilarities Compared With Synthetic MSM/Ns 394
16.5 Our Ability to Control the Diatom Frustuleâs Ultrastructure 396
16.5.1 Physicochemical Parameters Alteration Approach 397
16.5.2 Genetic Engineering Approach 398
16.6 Conclusion 399
Acknowledgment 399
References 399
Glossary 408
Index 411
