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Modeling & Simulation in Medicine & 2ND Edition

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Modeling & Simulation in Medicine & 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book is intended for second year undergraduate students majoring in science or engineering. It is directed at pre-medical students, life science majors, engineering students, and applied or computational mathematics majors.

Synopsis:

This second edition provides an introduction to mathematical modeling in the areas of medicine and the life sciences. The wide variety of applications presented here range from population phenomena of genetics, epidemics and dispersal to physiological processes including circulation, cell volume, muscle mechanics and neural control.

Synopsis:

The result of 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 only 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 as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range 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.

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

Product Details

ISBN:
9780387950723
Author:
Hoppensteadt, Frank C.
Author:
Peskin, Charles S.
Author:
Hoppensteadt, Frank C.
Author:
Hoppensteadt, F. C.
Publisher:
Springer
Location:
New York
Subject:
Reference
Subject:
Biology
Subject:
Mathematics
Subject:
Applied
Subject:
Physiology
Subject:
Population biology
Subject:
Biomathematics
Subject:
Models, Biological.
Subject:
Life Sciences - Biology - General
Subject:
mathematical biology
Subject:
mathematical modeling in biology
Subject:
mathematical modeling in medicine
Subject:
Physiological, Cellular and Medical Topics
Subject:
Physiology -- Mathematics.
Subject:
Mathematical Biology in General
Subject:
Ecology
Subject:
Mathematical and Computational Biology
Subject:
Ecology This book is intended for second year undergraduate students majoring in science or engineering. It is directed at pre-medical students, life science majors, engineering students, and applied or computational mathematics majors.
Subject:
Mathematics-Applied
Copyright:
Edition Number:
2
Edition Description:
2001. Corr. 2nd
Series:
Texts in Applied Mathematics
Series Volume:
MC-3410
Publication Date:
January 2004
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
370
Dimensions:
235 x 155 mm 1550 gr

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Related Subjects

Health and Self-Help » Health and Medicine » Professional Medical Reference
Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Modeling & Simulation in Medicine & 2ND Edition New Hardcover
0 stars - 0 reviews
$87.75 In Stock
Product details 370 pages Springer-Verlag - English 9780387950723 Reviews:
"Synopsis" by , This book is intended for second year undergraduate students majoring in science or engineering. It is directed at pre-medical students, life science majors, engineering students, and applied or computational mathematics majors.
"Synopsis" by , This second edition provides an introduction to mathematical modeling in the areas of medicine and the life sciences. The wide variety of applications presented here range from population phenomena of genetics, epidemics and dispersal to physiological processes including circulation, cell volume, muscle mechanics and neural control.
"Synopsis" by , The result of 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 only 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 as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range 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.
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