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From the Chapman & Hall Microbiology Series this unique resource offers specific experimental and practical applications of mathematical modeling in microbial ecology. The text presents a variety of systems, ranging from subcellular systems to ecosystems, and shows how to test whether the models provide a good representation of the system. The book also encourages further development and application of modeling to burgeoning problems associated with microbial ecology, such as the pollution and destruction of pesticides and herbicides.
The National Research Council's (NRC) Board on Agriculture and Natural Resources invited professional societies associated with agriculture and ecology to participate in a two-day workshop to explore leadership and a common vision for ecologically based pest management (EBPM). These proceedings describe the challenges of and opportunities for EBPM discussed by participants in the workshop.
This book presents new theoretical perspectives on ecological community dynamics and in so doing casts fresh light on the enduring complexity–stability debate. Real ecological communities do not simply comprise diverse species and interactions, which respectively represented the nodes and links of the classic network theory. Rather, they are characterized by different types of complexity, and this book explains how this diversity of complexity is key to understanding the dynamics of ecological communities. It is shown how various properties in natural communities, such as life history, adaptation, density dependence, sex, interaction types, space, functional traits, and microbial processes, can dramatically increase the complexity in ecological communities. Furthermore, innovative methods are introduced that may be applied to cast light on very complex communities. With each chapter presenting the latest advances and approaches, the book sets the direction for future research on ecological community dynamics. It will be a “must read” for researchers and students in the field of ecology.
Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems thoughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Four authors with backgrounds in food microbiology, food chemistry, mathematics, and statistics, explain how techniques of predictive microbiology can allow an objective evaluation of the effects of processing, distribution, and storage on the microbiological safety and quality of foods. The trick is to understand the microbial ecology of a process or of a food at a particular point in the chain, then use mathematical relationships between microbial growth and the expected environmental conditions, to predict the growth or survival of selected organisms. Annotation copyright by Book News, Inc., Portland, OR
Microbial ecology is one of the fastest growing fields of microbiology. This practical volume is the bench and field scientist's guide to well-established techniques for investigating microbial communities. Both for biologists just entering the field and for experienced researchers wishingto explore new areas, this book provides the theoretical background, detailed protocols, and tips from experts for working in this field. Chapters on bacteria with interesting metabolic traits are augmented with chapters on molecular techniques, lipid analysis, and appropriate sampling techniques.The final section includes up-to-date information on biofilm development and study, the science and practice of bioremediation, modeling of biological systems (including the most useful statistical parameters), and the study of phylogenetics.
The result of lectures given by the authors at New York University, the University of Utah, and Michigan State University, the material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models.
Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.