MS&A

The Respiratory System in Equations

Authors: Maury, Bertrand

  • Numerous exercises helping the reader to learn quickly
  • Online programs allowing the reader to perform his own computations
  • No prior knowledge on physiology required
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eBook $54.99
price for USA (gross)
  • ISBN 978-88-470-5214-7
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  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-88-470-5213-0
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  • Online orders shipping within 2-3 days.
Softcover $69.99
price for USA
  • ISBN 978-88-470-5573-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this book

This book proposes an introduction to the mathematical modeling of the respiratory system. A detailed introduction on the physiological aspects makes it accessible to a large audience without any prior knowledge on the lung. Different levels of description are proposed, from the lumped models with a small number of parameters (Ordinary Differential Equations), up to infinite dimensional models based on Partial Differential Equations. Besides these two types of differential equations, two chapters are dedicated to resistive networks, and to the way they can be used to investigate the dependence of the resistance of the lung upon geometrical characteristics. The theoretical analysis of the various models is provided, together with state-of-the-art techniques to compute approximate solutions, allowing comparisons with experimental measurements. The book contains several exercises, most of which are accessible to advanced undergraduate students.

About the authors

Bertrand Maury is Professor of Mathematics at the Université Paris-Sud, Orsay (France). He is also adjunct Professor at the Ecole Polytechnique, Docent Professor at the University of Jyväskylä (Finland), and junior member of the Institut Universitaire de France. His domains of interest extend from Computational Fluid Dynamics and  Numerical Analysis, to modeling in life sciences and Optimal Transportation.

Reviews

“This book models respiratory system using ordinary and partial differential equations. … this is a very good book on an extremely difficult topic.” (E. Ahmed, zbMATH 1312.92005, 2015)

“It is designed as an introduction to mathematical modeling in the particular context of the respiratory system. … this book is a most valuable reference for students and researchers in the fields of applied mathematics, bioengineering and medicine who are interested in the challenging field of modeling how the respiratory system works.” (Marcela Szopos, Mathematical Reviews, September, 2014)


Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-88-470-5214-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-88-470-5213-0
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $69.99
price for USA
  • ISBN 978-88-470-5573-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Respiratory System in Equations
Authors
Series Title
MS&A
Series Volume
7
Copyright
2013
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Italia
eBook ISBN
978-88-470-5214-7
DOI
10.1007/978-88-470-5214-7
Hardcover ISBN
978-88-470-5213-0
Softcover ISBN
978-88-470-5573-5
Series ISSN
2037-5255
Edition Number
1
Number of Pages
XVII, 278
Topics