The Mathematical Biology of Diatoms

The Mathematical Biology of Diatoms PDF

Author: Janice L. Pappas

Publisher: John Wiley & Sons

Published: 2023-05-31

Total Pages: 484

ISBN-13: 1119750431

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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.

The Mathematical Biology of Diatoms

The Mathematical Biology of Diatoms PDF

Author: Janice L. Pappas

Publisher: John Wiley & Sons

Published: 2023-04-18

Total Pages: 484

ISBN-13: 1119751918

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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.

Mathematical Macroevolution in Diatom Research

Mathematical Macroevolution in Diatom Research PDF

Author: Janice L. Pappas

Publisher: John Wiley & Sons

Published: 2023-09-13

Total Pages: 548

ISBN-13: 1119749859

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MATHEMATICAL MACROEVOLUTION IN DIATOM RESEARCH Buy this book to learn how to use mathematics in macroevolution research and apply mathematics to study complex biological problems. This book contains recent research in mathematical and analytical studies on diatoms. These studies reflect the complex and intricate nature of the problems being analyzed and the need to use mathematics as an aid in finding solutions. Diatoms are important components of marine food webs, the silica and carbon cycles, primary productivity, and carbon sequestration. Their uniqueness as glass-encased unicells and their presence throughout geologic history exemplifies the need to better understand such organisms. Explicating the role of diatoms in the biological world is no more urgent than their role as environmental and climate indicators, and as such, is aided by the mathematical studies in this book. The volume contains twelve original research papers as chapters. Macroevolutionary science topics covered are morphological analysis, morphospace analysis, adaptation, food web dynamics, origination-extinction and diversity, biogeography, life cycle dynamics, complexity, symmetry, and evolvability. Mathematics used in the chapters include stochastic and delay differential and partial differential equations, differential geometry, probability theory, ergodic theory, group theory, knot theory, statistical distributions, chaos theory, and combinatorics. Applied sciences used in the chapters include networks, machine learning, robotics, computer vision, image processing, pattern recognition, and dynamical systems. The volume covers a diverse range of mathematical treatments of topics in diatom research. Audience Diatom researchers, mathematical biologists, evolutionary and macroevolutionary biologists, paleontologists, paleobiologists, theoretical biologists, as well as researchers in applied mathematics, algorithm sciences, complex systems science, computational sciences, informatics, computer vision and image processing sciences, nanoscience, the biofuels industry, and applied engineering.

Mathematical Biology: Modeling and Analysis

Mathematical Biology: Modeling and Analysis PDF

Author: Fiona Palmer

Publisher:

Published: 2022-09-13

Total Pages: 0

ISBN-13: 9781639873548

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Mathematical biology also known as biomathematics is the sub-field of biology which uses analysis, abstractions and mathematical models to study the principles that influence structure, development and behavior of living organisms. It uses techniques and tools of mathematics to understand complex, non-linear mechanisms in biology. It aims to create models and representations of biological processes which can be used in practical as well as theoretical research. Tools and techniques of applied mathematics are commonly used for creating such models. Some of the areas of research in this field are algebraic biology, complex systems biology, computational neuroscience, abstract relational biology and evolutionary biology. This book explores all the important aspects of this field in the present day scenario. It also strives to provide a fair idea about mathematical biology and to help develop a better understanding of the latest developments within the field. In this book, using case studies and examples, constant effort has been made to make the understanding of the difficult concepts of this discipline as easy and informative as possible, for the readers.

Mathematical Biology

Mathematical Biology PDF

Author: James D. Murray

Publisher: Springer Science & Business Media

Published: 2007-06-12

Total Pages: 551

ISBN-13: 0387224378

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Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Foundations of Mathematical Biology

Foundations of Mathematical Biology PDF

Author: Robert J. Rosen

Publisher: Academic Press

Published: 2013-09-03

Total Pages: 431

ISBN-13: 1483271854

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Foundations of Mathematical Biology, Volume III, is devoted to the treatment of behavior of whole organisms and groups of organisms. The viewpoint taken throughout the book is a holistic, phenomenological one. That is, the integrated behavior of these organisms and groups of organisms is not, in general, referred back to specific structural properties of interacting subunits (as in a reductionist scheme), but is rather treated on its own terms without invoking the properties of lower levels of organization. The book begins with an overview of organization and control in physiological systems, with emphasis on the mathematical techniques involved in more detailed investigations of specific physiological mechanisms. Separate chapters cover the cardiovascular system, with particular reference to blood flow; gross problems of organic form; a relational overview of physics, biology, and sociology; the automata theory in the context of the central nervous system; and populations of interacting organisms. The final chapter discusses the material presented in the entire work, some of its philosophical presuppositions and implications, and the possibility of constructing a unified theory of mathematical biology.

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