Case Studies in Mathematical Modeling Ecology, Physiology, and Cell Biology

by Othmer, Hans G.; Adler, Fred; Lewis, Mark; Dallon, John

• ISBN13: 9780135740392
• ISBN10: 0135740398
• Edition: 1st
• Format: Paperback
• Copyright: 1996-12-30
• Publisher: Pearson

Summary

Exposing readers to some of today's most exciting and progressive research topics, this diverse compilation of case studies illustrates the unifying role of applied mathematics throughout the biological sciences.Written by leaders in the field, the cases demonstrate how successful modelers have used mathematics to answer real biological questions and takes readers step-by-step through the entire analytical process - question, model formulation, analysis, results, testing, and interpretation. It offers a solid foundation in theoretical biology and unifies mathematical, biological and modeling themes, providing useful tools for thought for future projects. Each section concludes with a project and problems and indicates numerous directions for further research and questions.For researchers new to mathematical biology.

Table of Contents

Preface
Ecology and Evolution	p. 1
You Bet Your Life: Life-History Strategies in Fluctuating Environments	p. 3
The Evolution of Species' Niches: A Population Dynamic Perspective	p. 25
Reflections on Models of Epidemics Triggered by the Case of Phocine Distemper Virus among Seals	p. 51
Simple Representations of Biomass Dynamics in Structured Populations	p. 61
Ancestral Inference from DNA Sequence Data	p. 81
Cell Biology	p. 97
Signal Transduction and Second Messenger Systems	p. 99
The Eukaryotic Cell Cycle: Molecules, Mechanisms, and Mathematical Models	p. 127
Mathematical Models of Hematopoietic Cell Replication and Control	p. 149
Oscillations and Multistability in Delayed Feedback Control	p. 179
Calcium and Membrane Potential Oscillations in Pancreatic [beta]-Cells	p. 199
Physiology	p. 219
Mathematical Modelling of Muscle Crossbridge Mechanics	p. 221
The Topology of Phase Resetting and the Entrainment of Limit Cycles	p. 255
Modeling the Interaction of Cardiac Muscle with Strong Electric Fields	p. 277
Fluid Dynamics of the Heart and its Valves	p. 309
Bioconvection	p. 339
Age-structured Models	p. 353
Qualitative Theory of Ordinary Differential Equations	p. 357
An Introduction to Partial Differential Equations	p. 381
Author/Editor Index	p. 387
Subject Index	p. 399
List of Contributors	p. 407
Colophon	p. 411
Table of Contents provided by Blackwell. All Rights Reserved.