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9780135740392

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

by ; ; ;
  • ISBN13:

    9780135740392

  • ISBN10:

    0135740398

  • Edition: 1st
  • Format: Paperback
  • Copyright: 1996-12-30
  • Publisher: Pearson

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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 Evolutionp. 1
You Bet Your Life: Life-History Strategies in Fluctuating Environmentsp. 3
The Evolution of Species' Niches: A Population Dynamic Perspectivep. 25
Reflections on Models of Epidemics Triggered by the Case of Phocine Distemper Virus among Sealsp. 51
Simple Representations of Biomass Dynamics in Structured Populationsp. 61
Ancestral Inference from DNA Sequence Datap. 81
Cell Biologyp. 97
Signal Transduction and Second Messenger Systemsp. 99
The Eukaryotic Cell Cycle: Molecules, Mechanisms, and Mathematical Modelsp. 127
Mathematical Models of Hematopoietic Cell Replication and Controlp. 149
Oscillations and Multistability in Delayed Feedback Controlp. 179
Calcium and Membrane Potential Oscillations in Pancreatic [beta]-Cellsp. 199
Physiologyp. 219
Mathematical Modelling of Muscle Crossbridge Mechanicsp. 221
The Topology of Phase Resetting and the Entrainment of Limit Cyclesp. 255
Modeling the Interaction of Cardiac Muscle with Strong Electric Fieldsp. 277
Fluid Dynamics of the Heart and its Valvesp. 309
Bioconvectionp. 339
Age-structured Modelsp. 353
Qualitative Theory of Ordinary Differential Equationsp. 357
An Introduction to Partial Differential Equationsp. 381
Author/Editor Indexp. 387
Subject Indexp. 399
List of Contributorsp. 407
Colophonp. 411
Table of Contents provided by Blackwell. All Rights Reserved.

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