Author: Sarah P. Otto
Publisher: Princeton University Press
ISBN: 1400840910
Category : Science
Languages : en
Pages : 745
Get Book Here
Book Description
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
Author: Marc Mangel
Publisher: Cambridge University Press
ISBN: 1139455869
Category : Science
Languages : en
Pages : 323
Get Book Here
Book Description
Mathematical modelling is widely used in ecology and evolutionary biology and it is a topic that many biologists find difficult to grasp. In this new textbook Marc Mangel provides a no-nonsense introduction to the skills needed to understand the principles of theoretical and mathematical biology. Fundamental theories and applications are introduced using numerous examples from current biological research, complete with illustrations to highlight key points. Exercises are also included throughout the text to show how theory can be applied and to test knowledge gained so far. Suitable for advanced undergraduate courses in theoretical and mathematical biology, this book forms an essential resource for anyone wanting to gain an understanding of theoretical ecology and evolution.
Author: Leah Edelstein-Keshet
Publisher: SIAM
ISBN: 9780898719147
Category : Mathematics
Languages : en
Pages : 629
Get Book Here
Book Description
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.
Author: Miklós Farkas
Publisher: Academic Press
ISBN: 0080530605
Category : Mathematics
Languages : en
Pages : 199
Get Book Here
Book Description
Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: - Chaotic dynamics of populations - The spread of sexually transmitted diseases - Problems of the origin of life - Models of immunology - Formation of animal hide patterns - The intuitive meaning of mathematical formulae explained with many figures - Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. - A 'down-to-earth' introduction to the growing field of modern mathematical biology - Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra
Author: Samuel M. Scheiner
Publisher: University of Chicago Press
ISBN: 022667133X
Category : Science
Languages : en
Pages : 455
Get Book Here
Book Description
Darwin’s nineteenth-century writings laid the foundations for modern studies of evolution, and theoretical developments in the mid-twentieth century fostered the Modern Synthesis. Since that time, a great deal of new biological knowledge has been generated, including details of the genetic code, lateral gene transfer, and developmental constraints. Our improved understanding of these and many other phenomena have been working their way into evolutionary theory, changing it and improving its correspondence with evolution in nature. And while the study of evolution is thriving both as a basic science to understand the world and in its applications in agriculture, medicine, and public health, the broad scope of evolution—operating across genes, whole organisms, clades, and ecosystems—presents a significant challenge for researchers seeking to integrate abundant new data and content into a general theory of evolution. This book gives us that framework and synthesis for the twenty-first century. The Theory of Evolution presents a series of chapters by experts seeking this integration by addressing the current state of affairs across numerous fields within evolutionary biology, ranging from biogeography to multilevel selection, speciation, and macroevolutionary theory. By presenting current syntheses of evolution’s theoretical foundations and their growth in light of new datasets and analyses, this collection will enhance future research and understanding.
Author: Evelyn Fox Keller
Publisher: Harvard University Press
ISBN: 9780674503137
Category : History
Languages : en
Pages : 434
Get Book Here
Book Description
In science, more than elsewhere, a word is expected to mean what it says, nothing more, nothing less. But scientific discourse is neither different nor separable from ordinary language--meanings are multiple, ambiguities ubiquitous. Keywords in Evolutionary Biology grapples with this problem in a field especially prone to the confusion engendered by semantic imprecision. Written by historians, philosophers, and biologists--including, among others, Stephen Jay Gould, Diane Paul, John Beatty, Robert Richards, Richard Lewontin, David Sloan Wilson, Peter Bowler, and Richard Dawkins--these essays identify and explicate those terms in evolutionary biology which, though commonly used, are plagues by multiple concurrent and historically varying meanings. By clarifying these terms in their many guises, the editors Evelyn Fox Keller and Elisabeth Lloyd hope to focus attention on major scholarly problems in the field--problems sometimes obscured, sometimes reveals, and sometimes even created by the use of such equivocal words. "Competition," "adaptation," and "fitness," for instance, are among the terms whose multiple meaning have led to more than merely semantic debates in evolutionary biology. Exploring the complexity of keywords and clarifying their role in prominent issues in the field, this book will prove invaluable to scientists and philosophers trying to come to terms with evolutionary theory; it will also serve as a useful guide to future research into the way in which scientific language works.
Author: Timothy H. Goldsmith
Publisher: John Wiley & Sons
ISBN: 0471182192
Category : Science
Languages : de
Pages : 390
Get Book Here
Book Description
This book uses evolution as the unifying theme to trace the connections between levels of biological complexity from genes through nervous systems, animal societies, and human cultures. It examines the history of evolutionary theory from Darwin to the present, including: the impact of molecular biology and the emergence of evolutionary social theory.
Author: Robert S. Burlage
Publisher:
ISBN: 9780195092233
Category : Medical
Languages : en
Pages : 484
Get Book Here
Book Description
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 wishing to 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.
Author: Ilkka Hanski
Publisher: Morgan Kaufmann
ISBN:
Category : Science
Languages : en
Pages : 536
Get Book Here
Book Description
This volume presents a review of metapopulation biology. It describes key theories of study and applies the best field studies to the conservation of species in fragmented landscapes. The work explains and critically assess the value of the metapopulation concept for field studies and conservation.
Author: Erin N. Bodine
Publisher: Princeton University Press
ISBN: 0691150729
Category : Mathematics
Languages : en
Pages : 630
Get Book Here
Book Description
An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available
