Modeling and Simulation in Medicine and the Life Sciences

ISBN-10: 0387950729
ISBN-13: 9780387950723
Edition: 2nd 2002 (Revised)
List price: $79.95 Buy it from $14.98 Rent it from $16.02
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Description: 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  More...

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Book details

List price: $79.95
Edition: 2nd
Copyright year: 2002
Publisher: Springer
Publication date: 1/16/2004
Binding: Hardcover
Pages: 355
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.496
Language: English

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 teh text, or to lead the reader to the discovery of interesting extensions of that material.

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
Getting Started with Matrices and MATLAB
Random Noise

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