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Modeling and Simulation in Medicine and the Life Sciences [Hardcover]

Frank C. Hoppensteadt , Charles Peskin

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Book Description

Jan. 16 2004 0387950729 978-0387950723 2nd ed. 2001. Corr. 2nd printing 2004

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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"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)

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Most Helpful Customer Reviews on (beta) 3.5 out of 5 stars  6 reviews
5.0 out of 5 stars Excellent text on modeling physiological systems. Aug. 18 2013
By Claude Lieber, MD - Published on
Format:Hardcover|Verified Purchase
Excellent text on modeling physiological systems. It wastes few words. A knowledge of algebra and elementary calculus is necessary but not more. A working knowledge of physiology is helpful but also not necessary. I would highly recommend this book to anyone studying medical engineering.
3.0 out of 5 stars Print version is better Oct. 25 2012
By chilohi - Published on
Format:Kindle Edition|Verified Purchase
This version of the book is good enough.
Some of the words and letters are really hard to understand, especially the sub-print, so it can get frustrating when you need to study or do homework.
Only buy if you need the book immediately.
4.0 out of 5 stars could be simplified Sept. 6 2012
By luis - Published on
Format:Paperback|Verified Purchase
The samples use in the book to cover different topics like the cardiac system or the cell membrane potential in MATLAB are useful and well written. The book could be simplified in the way it is written to make it more accessible to students and non mathematicians. I liked the book in general since the samples were so complete.
2.0 out of 5 stars It needs a make over for wording and layout. June 27 2012
By Maxi - Published on
Format:Paperback|Verified Purchase
Complicated descriptions of physiological and biological mathematical models. Too bland and no love put into the book, I wish they would give it a make over.
7 of 11 people found the following review helpful
2.0 out of 5 stars too bad you have to buy this book May 12 2009
By Yngwie Scruggs - Published on
Format:Hardcover|Verified Purchase
This book is not very interesting unless you are a freshman math major who has a subtle interest in physiology. The book more or less is a set of derivations and cute math tricks despite the fact it was designed to teach concepts of physiological modeling. I had this book as the focus of a biomedical engineering graduate class, and it's not very useful for that. Probably 3/4 of the questions in the back of each chapter could be summarized as "plug (some value) into (some equation). What is the answer?" They do the thinking for you and then ask you to regurgitate a formula or plug and chug. It doesn't demand any understanding of the material to answer most of the questions. There is almost no design or medical treatment choices involved--you are just studying something for the sake of studying it. The math tricks and derivations are really the focus of the book, rather than the actual conservation principles or physiology concepts that the models are based on. Assumptions are explained, but often the alternatives or models actually used in the field are not discussed at all. Finally, the MATLAB code that is included is rather poor. None of the graphs have titles or labeled axes, so in order to run a simulation, you must first dig through the code for an hour to figure out what each of the plots is. They also use up to 8 or so different files for simulations, which is rather silly. Most of the stuff they're doing can be done cleanly in no more than 4 documents. There is very little commenting in the book code which makes it all the more time-consuming to follow.

It might be a decent reference book for understanding some basic modeling principles, but that's about all.

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