Daphnia: Biology and Mathematics Perspectives

Mohamed O. El-Doma (Editor)
University of Khartoum, Khartoum, Sudan

Series: Animal Science, Issues and Research
BISAC: SCI070000

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Volume 10

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Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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The purpose of this book is twofold: on one hand, it gives a mathematical perspective of Daphnia which comprises studies focusing on introducing size-structured population dynamics models of Daphnia and their unification, as well as developing and analyzing mathematical models of size-structured population dynamics of several species of Daphnia. These include proving the well-posedness of the model and related regularity properties, determining the steady states and proving the principle of linearized stability and studying the (in)stability of the steady states.

The mathematical perspective of Daphnia is written at a research level and it is intended for researchers in applied mathematics, differential equations, biomathematics, mathematical biology, mathematical ecology as well as graduate students in the above mentioned fields of research. The necessary background for reading the chapters is the knowledge of ordinary differential equations, partial differential equations, integral equations and functional analysis. On the other hand, this book also provides a biological perspective of Daphnia by focusing on topics such as: the swimming behaviour, inducible defense mechanisms in order to avoid predation, sexual reproduction, the use of Daphnia as a classroom organism and the role of Daphnia in ecotoxicological evaluations of contaminants. In addition, it contains several video movies attached to some chapters. The biological perspective of Daphnia is written at a research level and intended for researchers in biology, chemistry, ecology and environment as well as graduate students in the above-mentioned fields of research. (Imprint: Nova)

Preface

Chapter 1. An Introduction to Size-Structured Population Models of Daphnia and Unification
(M. El-Doma, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan)

Chapter 2. Well-Posedness of a System of Size-Structured Models for Several Daphnia Species Competing for a Single Resource
(M. El-Doma, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan)

Chapter 3. The Steady States and the Principle of Linearized Stability for a System of Size-Structured Population Models of Several Daphnia Species Competing for a Single Resource
(M. El-Doma, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan)

Chapter 4. Stability Results for a System of Size-Structured Models of Several Daphnia Species Competing for a Single Resource
(M. El-Doma, Faculty of Mathematical Sciences, University of Khartoum, Khartoum, Sudan)

Chapter 5. Daphnia magna as the Ultimate Classroom Organism: Implementing Scientific Investigations into School Practice
(Monique Meier and Claudia Wulff, Institute of Biology Education, University of Kassel, Kassel, Germany)

Chapter 6. Developmental Process of Defensive Morph in Daphnia pulex
(Hitoshi Miyakawa, Taisen Iguchi and Toru Miura, Okazaki Institute for Integrative Bioscience, National Institute for Basic Biology, National Institutes of Natural Sciences, Okazaki, Japan and others)

Chapter 7. Sexual Reproduction is a Key Element in the Life History Strategy of Water Fleas, Daphnia magna and Daphnia pulex: Casting a Spotlight on Male Induction and its Morphology
(Chizue Hiruta, Kenji Toyota, Hitoshi Miyakawa, Eri Sumiya and Taisen Iguchi, Okazaki Institute for Integrative Bioscience, National Institute for Basic Biology, National Institutes of Natural Sciences, Myodaiji, Okazaki, Aichi, Japan and others)

Chapter 8. Applications of Daphnia magna in Ecotoxicological Tests in Water Treated by Advanced Oxidation Processes
(Almudena Aguinaco, J. Pablo Pocostales and Azahara Espejo, Departamento de Ingeniería Química y Química Física, Universidad de Extremadura, Badajoz, Spain)

Chapter 9. From Small to Large Scale: A Review of the Swimming Behaviour of Daphnia
(Marco Uttieri, Roberto Sandulli, Giancarlo Spezie and Enrico Zambianchi, Department of Sciences and Technologies, University of Naples, “Parthenope” Centro Direzionale di Napoli, Naples, Italy)

Chapter 10. Daphnia magna in Environmental Research: A Useful Tool for Ecotoxicological Evaluation of Conventional and Emerging Contaminants
(Marcela Boroski, Adriane Martins de Freitas and Carla Sirtori, Federal University of Latin-American Integration (UNILA) - Laboratory for Interdisciplinary Studies of the Environment (LEIMA), Foz do Iguaçu – Brazil and others)

Index

"The book, as a research source, is well-written and is an excellent source of knowledge in the area of biomathematics. The first four chapters, of total ten chapters, are devoted to the study of Daphnia species from a mathematical point of view. The targeted audiences for this part of the book are researchers in applied mathematics, differential equations, biomathematics, mathematical biology, and mathematical ecology. The knowledge of ordinary differential equations, partial differential equations, integral equations and functional analysis are main required knowledge for understanding these chapters. The remaining six chapters are dedicated to studies of Daphnia species from a biological point of view. The targeted audiences for this part of the book are researchers in the area of biology, chemistry, ecology and environmental science.." - Aliakbar Montazer Haghighi, Ph. D., Professor and Head of Department of Mathematics, Editor-in-Chief and Co-Founder of AAM, An International Journal

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