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© 2002

Modeling and Simulation in Medicine and the Life Sciences

Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 10)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 1-4
  3. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 5-74
  4. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 75-108
  5. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 109-146
  6. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 147-170
  7. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 171-192
  8. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 193-213
  9. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 215-265
  10. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 267-294
  11. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 295-309
  12. Frank C. Hoppensteadt, Charles S. Peskin
    Pages 311-333
  13. Back Matter
    Pages 335-355

About this book

Introduction

Mathematics in Medicine and the Life Sciences grew from lectures given by the authors at New York University, the University of Utah, and Michigan State University. The material is written for students who have had but one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well, and solutions to selected exercises are included. Numerous illustrations depict physiological processes, population biology phenomena, models of them, and the results of computer simulations.

Mathematical models and methods are becoming increasingly important in medicine and the life sciences. This book provides an introduction to a wide diversity of problems ranging from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models. Materials that deal with the same topics but in greater depth are included later. Finally, exercises and some solutions are given to test the reader on important parts of the material in the text, or to lead the reader to the discovery of interesting extensions of that material.

Keywords

Ecology MATLAB biology genetics life sciences mathematical biology mathematical modeling in biology mathematical modeling in medicine microbial ecology

Authors and affiliations

  1. 1.Center for Systems Science and EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Mathematics Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

Bibliographic information

Industry Sectors
Finance, Business & Banking

Reviews

"This is an introductory book on mathematical modeling in the bio-sciences. It is written for mathematicians as well as for life scientists. Simple models are presented, and previous knowledge of biology is not required for understanding the book. All the essential biological background is given in the text, while basic mathematical knowledge is sufficient for reading a large part of the book.

In each chapter, the material is organized in increasing order of complexity followed by exercises. Some of the exercises deal with the material of that chapter, while others are projects that extend the preceding material. Many chapters contain sections with suggestions for computing projects. Simulations are done in Matlab and computer code is included in the text...."  (Miljenko Marusic, Mathematical Reviews)