Princeton University Press
Dynamic Models in Biology
-
und
Über dieses Buch
From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology.
Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians.
Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
Information zu Autoren / Herausgebern
Rezensionen
"The book begins with a stellar overview of the purpose of modeling, contrasting statistical with dynamical models, and theoretical with practical models both clearly and even-handedly...[E]ngaging the full breadth and depth of this book could be an education for both instructors and students alike."---Frederick R. Adler, Mathematical Biosciences
"Dynamic Models in Biology stands apart from existing textbooks in mathematical biology largely because of its interdisciplinary approach and its hands-on, project-oriented case studies and computer laboratories. In an effort to explore biology in more detail, the authors bravely chose a style that differs from the classical biomath texts . . . whose focus is more on formal mathematics."---Lewi Stone, BioScience
"This is a great book and I expect that it will play an important role in the teaching of mathematical biology and the development of the next generation of mathematical biologists for many years to come."---Marc Mangel, SIAM Review
"What is remarkable about Dynamic Models in Biology is that it truly speaks to students of biological sciences. It puts biology first, and then tries to explain how mathematical tools can explain biological phenomena. Nothing else I've seen does this anywhere near as well. The authors have combined their experience to produce and excellent textbook."---Bill Satzer, MAA Reviews
"This book is written with the reality of biology students and their apprehension about mathematics in mind. The applications of mathematical models to real biological problems are not contrived, as they are in a number of other texts. And the biology examples are taken from the current literature—a wonderful help to those who will be teaching with this book."—Jim Keener, University of Utah, author of Principles of Applied Mathematics and Mathematical Physiology
"Dynamic Models in Biology is a new and significant contribution to the field. Very well written and clearly presented, it fulfills its goal of bringing dynamic models into the undergraduate biology curriculum. Indeed it puts biology first, and then seeks to show how biological phenomena can be explained in mathematical terms."—Martin Henry H. Stevens, Miami University
"This excellent book is a major contribution to the literature. Strong biologically and mathematically, well-organized, and engagingly written, it introduces the subject of dynamical models in biology in as coherent a way as I have seen anywhere. Few authors could approach this topic as authoritatively as do Ellner and Guckenheimer."—Simon Levin, Princeton University, author of The Importance of Species and The Encyclopedia of Biodiversity
Fachgebiete
-
PDF downloadenÖffentlich zugänglich
Frontmatter
i -
PDF downloadenÖffentlich zugänglich
Contents
v -
PDF downloadenÖffentlich zugänglich
List of Figures
ix -
PDF downloadenÖffentlich zugänglich
List of Tables
xiv -
PDF downloadenÖffentlich zugänglich
Preface
xvi -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
1. What Are Dynamic Models?
1 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
2. Matrix Models and Structured Population Dynamics
31 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
3. Membrane Channels and Action Potentials
71 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
4. Cellular Dynamics: Pathways of Gene Expression
107 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
5. Dynamical Systems
135 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
6. Differential Equation Models for Infectious Disease
183 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
7. Spatial Patterns in Biology
217 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
8. Agent-Based and Other Computational Models for Complex Systems
243 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
9. Building Dynamic Models
283 -
PDF downloadenErfordert eine Authentifizierung Nicht lizenziertLizenziert
Index
323