The Mathematical Biology of Diatoms (eBook, ePUB)

Redaktion: Pappas, Janice L.

• Format: ePub

Produktbeschreibung

THE MATHEMATICAL BIOLOGY OF DIATOMS This book contains unique, advanced applications using mathematics, algorithmic techniques, geometric analysis, and other computational methods in diatom research. Historically, diatom research has centered on taxonomy and systematics. While these topics are of the utmost importance, other aspects of this important group of unicells have been increasingly explored in the biological sciences. While mathematical applications are still rare, they are starting take hold and provide an extensive avenue of new diatom research, including applications in multidisciplinary fields. The work contained in this volume is an eclectic mix of analytical studies on diatoms. Mathematical treatment of the various biological disciplines covered in this book range from implicit, but succinct studies to more elaborate detailed computational studies. Topics include growth models, nanostructure, nanoengineering, cell growth, araphid diatoms, valve ontogeny, diatom metabolism, diatom motility, synchronization, diatom kinematics, photonics, biogenic sensors, photochemistry, diatom light response, colony growth, siliceous unicells, algal kinetics, diatom structure, diatom imaging, functional morphology, geometric structure, biomineralization, high-resolution imaging, non-destructive imaging, and 3D structure. This wide-ranging volume provides an introductory as well as an advanced treatment of recent interests in diatom research. The mathematical research in this volume may be applicable to studies of other unicells, biomechanics, biological processes, physio-chemical analyses, or nanoscience.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 480
• Erscheinungstermin: 19. Mai 2023
• Englisch
• ISBN-13: 9781119751915
• Artikelnr.: 68134135

Autorenporträt

Janice L. Pappas has BA, BS and PhD degrees from the University of Michigan and an MA degree from Drake University. She is a mathematical biologist researching diatoms and invertebrates. She is a Great Lakes aquatic ecologist with studies on-board research vessels and in the lab, resulting in computational analyses of fish distributions in coastal wetlands and ecological informatics analysis of phytoplankton seasonal succession. Other studies include applications to diatom studies using Morse theory and morphospace dynamics, fuzzy measures in systematics, vector spaces in ecological analysis, information theory and Hamiltonian mechanics in morphogenesis, optimization, group and probability theory in macroevolutionary processes, and applied computer vision techniques in diatom imaging studies.

Inhaltsangabe

List of Figures xiii

List of Tables xxxi

Preface xxxv

Part I: Diatom Form and Size Dynamics 1

1 Modeling the Stiffness of Diploneis Species Based on Geometry of the Frustule Cut with Focused Ion Beam Technology 3
Andrzej Witkowski, Romuald Dobosz, Tomasz PBociDski, PrzemysBaw Dbek, Izabela ZgBobicka, Horst Lange-Bertalot, Thomas G. Bornman, Renata Dobrucka, MichaB Gloc and Krzysztof J. KurzydBowski

1.1 Introduction 4

1.2 Material and Methods 6

1.2.1 Focused Ion Beam (FIB) Milling 6

1.2.2 Modeling 6

1.3 Results 8

1.3.1 FIB Processing 8

1.3.2 Modeling 11

1.4 Discussion 14

1.4.1 Practical Meaning of the Frustule Geometric Characters 14

1.4.2 Documenting the Mechanical Strength of the Diatom Frustule 14

Acknowledgments 16

References 16

2 Size-Resolved Modeling of Diatom Populations: Old Findings and New Insights 19
Jonas Ziebarth, Werner M. Seiler and Thomas Fuhrmann-Lieker

2.1 Introduction 19

2.2 The MacDonald-Pfitzer Rule and the Need for Matrix Descriptions 20

2.3 Cardinal Points and Cycle Lengths 21

2.3.1 Considered Cardinal Parameters 21

2.3.2 Factors Determining Cardinal Points 22

2.3.3 Experimental Data 24

2.4 Asymmetry, Delay and Fibonacci Growth 26

2.4.1 The Müller Model 26

2.4.2 The Laney Model 28

2.5 Continuous vs. Discrete Modeling 28

2.5.1 Discrete Dynamical Systems 29

2.5.2 The Perron-Frobenius Theorem 33

2.5.3 Continuous Dynamical Systems 35

2.5.4 Extensions and Generalizations 37

2.5.5 Individual-Based Models 39

2.6 Simulation Models 41

2.6.1 The Schwarz et al. Model 41

2.6.2 The D'Alelio et al. Model 43

2.6.3 The Hense-Beckmann Model 45

2.6.4 The Terzieva-Terziev Model 48

2.6.5 The Fuhrmann-Lieker et al. Model 49

2.7 Oscillatory Behavior 52

2.7.1 Reproduction of Experimental Data 52

2.7.2 Coupling to External Rhythms 53

2.8 Conclusion 55

Acknowledgment 56

References 56

3 On the Mathematical Description of Diatom Algae: From Siliceous Exoskeleton Structure and Properties to Colony Growth Kinetics, and Prospective Nanoengineering Applications 63
Alexey I. Salimon, Julijana Cvjetinovic, Yuliya Kan, Eugene S. Statnik, Patrick Aggrey, Pavel A. Somov, Igor A. Salimon, Joris Everaerts, Yekaterina D. Bedoshvili, Dmitry A. Gorin, Yelena V. Likhoshway, Philipp V. Sapozhnikov, Nikolai A. Davidovich, Olga Y. Kalinina, Kalin Dragnevski and Alexander M. Korsunsky

3.1 Introduction 64

3.2 Hierarchical Structuring of Matter: Diatom Algae and the Bio-Assisted Nanostructured Additive Manufacturing Paradigm 64

3.3 Structural Design of Diatom Frustules 65

3.4 Mechanical Performance of Diatom Frustules - Experimental Characterization 73

3.4.1 Nanoindentation Testing of Diatom Frustules 75

3.4.2 AFM Studies of Diatom Frustules 77

3.5 Engineering Applications of Diatomaceous Earth 80

3.6 NEMS/MEMS Perspective 85

3.7 On the Mathematical Description of Self-Organized Diatom Frustule Growth 87

3.8 On the Kinetics of Diatom Colony Growth 90

3.9 Advanced Pattern Analysis of the Hierarchical Structure of Diatom Frustules 92

3.10 Concluding Remarks 95

Acknowledgement 96

References 96

Part II: Diatom Development, Growth and Metabolism 103

4 Ring to the Linear: Valve Ontogeny Indicates Two Potential Evolutionary Pathways of Core Araphid Diatoms 105
Shigeki