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Interdisciplinary Applied Mathematics

Mathematical Biology II

Spatial Models and Biomedical Applications

Authors: Murray, J.D.

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eBook $74.99
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  • ISBN 978-0-387-22438-1
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  • Immediate eBook download after purchase
Hardcover $99.00
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  • ISBN 978-0-387-95228-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
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  • ISBN 978-1-4757-7870-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

It has been over a decade since the release first edition of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology and medicine has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modelling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biomedical sciences and gives some indication of the wide spectrum of questions that modelling can address.

Due to the tremendous development in recent years, this new edition is being published in two volumes. This second volume covers spatial models and biomedical applications. For this new edition, Murray covers certain items in depth, introducing new applications such as modelling growth and control of brain tumours, bacterial patterns, wound healing and wolf territoriality. In other areas, he discusses basic modelling concepts and provides further references as needed. He also provides even closer links between models and experimental data throughout the text.

Graduate students and researchers will find this book invaluable as it gives an excellent background from which to begin genuinely practical interdisciplinary research in the biomedical sciences.

Reviews

From the reviews:

"The 2nd volume of the authors elucidating work highlights a surprisingly broad spectrum of applications in the field of mathematical biology. The sense given to the mathematical texture of thoughts broadens the reader’s insight … . The growing number of specialists in sub-disciplines of mathematical biology will be enjoying the truly concise approach … . It can so be said that the foremost results … might be essential for new interpretations of data … . It is a recommended text for mathematicians … ." (Daniel Gertsch, Bioworld, Issue 2, 2004)

From the reviews of the third edition:

"This is the second volume of the third edition of Murray’s ‘Mathematical Biology’. … covers a wide variety of problems in pattern formation, each discussed in its biological context. … This volume alone is a large book, with more than 800 pages and a similar number of references. … it is a valuable collection of results from different areas of mathematical biology." (Carlo Laing, New Zealand Mathematical Society Newsletter, Issue 90, April, 2004) 

"This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences. The multi-layer way of material presentation makes the book useful for different types of reader including graduate-level students, bioscientists … . it is an enjoyable reading and I recommend it to anyone with serious interest in mathematical modelling." (V.V. Fedorov, Short Book Reviews, Vol. 23 (3), 2003)

"This second volume of the third edition of Murray’s Mathematical biology focuses on partial differential equations (spatial models) and their application to the biomedical sciences. … Each chapter deals with its particular topic in great detail, usually focusing on one biological example and the associated mathematical model and results. This volume is not an introductory text … making it extremely useful in graduate courses and for reference." (Trachette L. Jackson, Mathematical Reviews, 2004b)

"In this second volume … the development towards specific biological configurations and towards a mechanism for understanding morphogenesis represents an important portion of the work. … chapters deal with attractive topics … . There is an extensive index at the end. … very interesting and strongly recommended." (A. Akutowicz, Zentralblatt MATH, Vol. 1006, 2003)

"In this volume it becomes clear that compiling the third edition was a ‘labor of love’. The book has a significantly different feel from the original first edition. … my reaction to the third edition was positive. … The historical and biological overviews have much interesting information. … Certainly, the spicy writing will keep students alert … . In summary, I recommend the new and expanded third edition to any serious young student interested in mathematical biology … ." (Leah Edelstein-Keshet, SIAM Review, Vol. 46 (1), 2004)

"Mathematical Biology would be eminently suitable as a text for a final year undergraduate or postgraduate course in mathematical biology … . It is also a good source of examples for courses in mathematical methods … . Mathematical Biology provides a good way into the field and a useful reference for those of us already there. It may attract more mathematicians to work in biology by showing them that there is real work to be done." (Peter Saunders, The Mathematical Gazette, Vol. 90 (518), 2006)


Table of contents (14 chapters)

  • Multi-Species Waves and Practical Applications

    Pages 1-70

  • Spatial Pattern Formation with Reaction Diffusion Systems

    Pages 71-140

  • Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms

    Pages 141-191

  • Pattern Formation on Growing Domains: Alligators and Snakes

    Pages 192-252

  • Bacterial Patterns and Chemotaxis

    Pages 253-310

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-0-387-22438-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-95228-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4757-7870-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Biology II
Book Subtitle
Spatial Models and Biomedical Applications
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
18
Copyright
2003
Publisher
Springer-Verlag New York
Copyright Holder
J.D. Murray
eBook ISBN
978-0-387-22438-1
DOI
10.1007/b98869
Hardcover ISBN
978-0-387-95228-4
Softcover ISBN
978-1-4757-7870-0
Series ISSN
0939-6047
Edition Number
3
Number of Pages
XXV, 814
Additional Information
Originally published as volume 19 in the series: Biomathematics
Topics