[Book Cover]

Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology, 1/e

Hans G. Othmer, the University of Utah
Fred Adler, the University of Utah
Mark Lewis, the University of Utah
John Dallon, the University of Utah

Published December, 1996 by Prentice Hall Engineering/Science/Mathematics

Copyright 1997, 416 pp.
Paper
ISBN 0-13-574039-8


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Summary

This inexpensive paperback exposes students 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 students step-by-step through the entire analytical process - question, model formulation, analysis, results, testing, and interpretation.

Features


Offers intriguing, diverse case studies written by today's top experts in the field of mathematical biology.
Methodically details the application process in each case, making the research highly accessible to all students and encouraging them to think and extend math into biology on their own.
Provides a solid foundation in theoretical biology.
Unifies mathematical, biological and modeling themes, providing useful tools for thought for future projects.
Encourages students to find links between research areas.
Combines education and research to give the best insight into the workings of the science.


Table of Contents
I. ECOLOGY AND EVOLUTION.

    1. You Bet Your Life: Life -History Strategies in Fluctuating Environments, Steve Ellner, North Carolina State University.
    2. The Evolution of Species' Niches: Population Dynamic Perspectives, Robert D. Holt and Richard Gomulkiewicz.
    3. Reflections on Models of Epidemics Triggered by the Case of Phocine Distemper Virus Among, Odo Diekmann.
    4. Simple Representations of Biomass Dynamics in Structured Populations, R.M. Nisbet, E. McCauley, W.S.C. Gurney, W.W. Murloch, and A.M. de Roos.
    5.Ancestral Inference from DNA Sequence Data, Simon Tavare.

II. CELL BIOLOGY.
    6. Signal Transduction and Second Messenger Systems, Hans Othmer.
    7 The Eukaryotic Cell Cycle: Molecules - Mechanisms and Mathematical Models, John Tyson, Kathy Chen, and Bela Novak.
    8 Mathamatical Models of Hematopoietic Cell Replication and Control, Michael Mackey.
    9 Oscillations and Multistability in Delayed Feedback Control, John Milton and Jennifer Foss.
    10 Calcium and Membrane Potential Oscillations with Applications to Insulin- Secreting Pancreatic Beta-Cells, Arthur Sherman.
III. PHYSIOLOGY.
    11. Mathamatical Modeling of Muscle Crossbridge Mechanics, Edward Pate.
    12. THe Topology of Phase Resetting and the Entertainment of Limit Cycles, Leon Glass.
    13. Modeling the Interaction of Cardiac Muscle with Strong Electric Fields, Wanda Krassowska.
    14. Fluid Dynamics and Fiber Architecture of the Heart and its Valves, Charles S. Peskin and David M. McQueen.
    15. Bioconvection, N.A. Hill.
    A. Age Structured Models, Frederick R. Alder.
    B. Qualitative Theory of Ordinary Differential Equations, Mark A. Lewis and Hans G. Othmer.
    C. An Introduction to Partial Differential Equations, Hans G. Othmer.
    Author/Editor Index.
    Subject Index.
    List of Contributors.
    Colophon.


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