Modeling and Simulation in Medicine and the Life Sciences / Edition 2

Modeling and Simulation in Medicine and the Life Sciences / Edition 2

by Frank C. Hoppensteadt, Charles Peskin
     
 

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

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Overview

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.

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Product Details

ISBN-13:
9780387950723
Publisher:
Springer New York
Publication date:
10/01/2001
Series:
Texts in Applied Mathematics Series, #10
Edition description:
2nd ed. 2001. Corr. 2nd printing 2004
Pages:
355
Product dimensions:
6.40(w) x 9.30(h) x 1.10(d)

Table of Contents

Introduction
• The Heart and Circulation
• Gas Exchange in the Lungs
• Control of Cell Volume and the Electrical Properties of Cell Membranes
• The Renal Countercurrent Mechanism
• Muscle Mechanics
• Neural Systems
• Population Dynamics
• Genetics
• A Theory of Epidemics
• Patterns of Population Growth and Dispersal
• Appendix A: Getting Started with Matrices and MATLAB
• B: Random Noise

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