The Mathematical Biology Of Diatoms

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The Mathematical Biology of Diatoms

Author : Janice L. Pappas
Publisher : John Wiley & Sons
ISBN 13 : 1119750431
Total Pages : 484 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis The Mathematical Biology of Diatoms by : Janice L. Pappas

Download or read book The Mathematical Biology of Diatoms written by Janice L. Pappas and published by John Wiley & Sons. This book was released on 2023-05-31 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Janice L. Pappas
Publisher : John Wiley & Sons
ISBN 13 : 1119751918
Total Pages : 484 pages
Book Rating : 4.1/5 (197 download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Biology of Diatoms by : Janice L. Pappas

Download or read book The Mathematical Biology of Diatoms written by Janice L. Pappas and published by John Wiley & Sons. This book was released on 2023-04-18 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Janice L. Pappas
Publisher : John Wiley & Sons
ISBN 13 : 1119749859
Total Pages : 548 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Mathematical Macroevolution in Diatom Research by : Janice L. Pappas

Download or read book Mathematical Macroevolution in Diatom Research written by Janice L. Pappas and published by John Wiley & Sons. This book was released on 2023-09-13 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Mathematical Biology

Author : Sol Isaac Rubinov
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis Introduction to Mathematical Biology by : Sol Isaac Rubinov

Download or read book Introduction to Mathematical Biology written by Sol Isaac Rubinov and published by . This book was released on 1975 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Biology

Author : James Dickson Murray
Publisher : Springer
ISBN 13 :
Total Pages : 790 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Mathematical Biology by : James Dickson Murray

Download or read book Mathematical Biology written by James Dickson Murray and published by Springer. This book was released on 1989 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Mathematical Biology

Author : Alfred James Lotka
Publisher : New York : Dover Publications
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Elements of Mathematical Biology by : Alfred James Lotka

Download or read book Elements of Mathematical Biology written by Alfred James Lotka and published by New York : Dover Publications. This book was released on 1956 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Biology

Author : James D. Murray
Publisher : Springer Science & Business Media
ISBN 13 : 0387224378
Total Pages : 551 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematical Biology by : James D. Murray

Download or read book Mathematical Biology written by James D. Murray and published by Springer Science & Business Media. This book was released on 2007-06-12 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Biology: Modeling and Analysis

Author : Fiona Palmer
Publisher :
ISBN 13 : 9781639873548
Total Pages : 0 pages
Book Rating : 4.8/5 (735 download)

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Book Synopsis Mathematical Biology: Modeling and Analysis by : Fiona Palmer

Download or read book Mathematical Biology: Modeling and Analysis written by Fiona Palmer and published by . This book was released on 2022-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Mark Lewis
Publisher : American Mathematical Soc.
ISBN 13 : 0821847651
Total Pages : 0 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Biology by : Mark Lewis

Download or read book Mathematical Biology written by Mark Lewis and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present lectures on a major area of mathematics. A unifying theme of the mathematical biology courses presented here is that the study of biology involves dynamical systems. Introductory chapters by Jim Keener and Mark Lewis describe the biological dynamics of reactions and of spatial processes. Each remaining chapter stands alone, as a snapshot of in-depth research within a sub-area of mathematical biology. Jim Cushing writes about the role of nonlinear dynamical systems in understanding complex dynamics of insect populations. Epidemiology, and the interplay of data and differential equations, is the subject of David Earn's chapter on dynamic diseases. Topological methods for understanding dynamical systems are the focus of the chapter by Leon Glass on perturbed biological oscillators. Helen Byrne introduces the reader to cancer modeling and shows how mathematics can describe and predict complex movement patterns of tumors and cells. In the final chapter, Paul Bressloff couples nonlinear dynamics to nonlocal oscillations, to provide insight to the form and function of the brain. The book provides a state-of-the-art picture of some current research in mathematical biology. Our hope is that the excitement and richness of the topics covered here will encourage readers to explore further in mathematical biology, pursuing these topics and others on their own. The level is appropriate for graduate students and research scientists. Each chapter is based on a series of lectures given by a leading researcher and develops methods and theory of mathematical biology from first principles. Exercises are included for those who wish to delve further into the material.

Foundations of Mathematical Biology

Author : Robert J. Rosen
Publisher : Elsevier
ISBN 13 : 1483271846
Total Pages : 349 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of Mathematical Biology by : Robert J. Rosen

Download or read book Foundations of Mathematical Biology written by Robert J. Rosen and published by Elsevier. This book was released on 2013-10-02 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematical Biology, Volume II: Cellular Systems describes the properties of cellular systems and their relationship to the development of multicellular organisms. This volume is composed of five chapters that present the mathematical tools applied in evaluating these systems. Chapters 1 illustrates the use of continuous time systems to examine the relationship between the properties of individual cells and the general problems of morphogenesis in developing systems, specifically how these properties could manifest themselves in morphological terms. Chapter 2 demonstrates the systems of rate equations or first-order differential equations to deal with the regulation of individual chemical processes and sequences of such processes, at both the genetic and metabolic levels. Chapter 3 discusses the application of the theory of automata to the evaluation of the concept and principles of embryology, while Chapter 4 presents some relational cell models to study the metabolism-repair cellular systems. Chapter 5 looks into the concept and systems of a compartment. This book will prove useful to mathematical and cell biologists and researchers.

Current Developments In Mathematical Biology - Proceedings Of The Conference On Mathematical Biology And Dynamical Systems

Author : Rebecca Culshaw
Publisher : World Scientific
ISBN 13 : 9814477109
Total Pages : 181 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Current Developments In Mathematical Biology - Proceedings Of The Conference On Mathematical Biology And Dynamical Systems by : Rebecca Culshaw

Download or read book Current Developments In Mathematical Biology - Proceedings Of The Conference On Mathematical Biology And Dynamical Systems written by Rebecca Culshaw and published by World Scientific. This book was released on 2007-01-31 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers on various areas of current interest in mathematical biology, such as epidemic disease modeling, including the effects of vaccination and strain replacement; immunology, such as T-Cell dynamics and the mechanism of phagocytosis; knot theory; DNA computation; and Boolean networks.

Elements of Mathematical Biology

Author : A.J. Lotka
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (124 download)

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Book Synopsis Elements of Mathematical Biology by : A.J. Lotka

Download or read book Elements of Mathematical Biology written by A.J. Lotka and published by . This book was released on 1925 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essential Mathematical Biology

Author : Nicholas F. Britton
Publisher : Springer Science & Business Media
ISBN 13 : 1447100492
Total Pages : 347 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Essential Mathematical Biology by : Nicholas F. Britton

Download or read book Essential Mathematical Biology written by Nicholas F. Britton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

Mathematical Models in Biology

Author : Leah Edelstein-Keshet
Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet

Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Introduction to Mathematical Biology

Author : S. I. Rubinow
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Biology by : S. I. Rubinow

Download or read book Introduction to Mathematical Biology written by S. I. Rubinow and published by Wiley-Interscience. This book was released on 1975 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cell growth. Enzyme kinetics. Tracers in physiological systems. Biology fluind synamics. Diffusion in biology.

Foundations of Mathematical Biology

Author : Robert J. Rosen
Publisher : Academic Press
ISBN 13 : 1483272133
Total Pages : 316 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of Mathematical Biology by : Robert J. Rosen

Download or read book Foundations of Mathematical Biology written by Robert J. Rosen and published by Academic Press. This book was released on 2013-10-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematical Biology, Volume 1, Subcellular Systems, provides an introduction the place of mathematical biology in relation to the other biological, physical, and organizational sciences. It discusses the use of mathematical tools and techniques to solve biological problems. The book contains four chapters and begins with a discussion of the nature of hierarchical control in living matter. This is followed by a chapter on chemical kinetics and enzyme kinetics, covering the physicomathematical principles, models, and approximations underlying transition-state theory and the unimolecular reaction. Subsequent chapters deal with quantum genetics and membrane excitability.

Towards a Mathematical Theory of Complex Biological Systems

Author : Carlo Bianca
Publisher : World Scientific
ISBN 13 : 9814340537
Total Pages : 227 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Towards a Mathematical Theory of Complex Biological Systems by : Carlo Bianca

Download or read book Towards a Mathematical Theory of Complex Biological Systems written by Carlo Bianca and published by World Scientific. This book was released on 2011 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, celular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.