
The Respiratory System in Equations
Bertrand Maury(Author)
Springer (Publisher)
Published on 22. January 2013
Book
Hardback
XVII, 278 pages
978-88-470-5213-0 (ISBN)
Description
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.
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.
Reviews / Votes
"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)
More details
Product info
Book
Series
Edition
2013
Language
English
Place of publication
Milano
Italy
Target group
Professional and scholarly
Graduate
Illustrations
XVII, 278 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 22 mm
Weight
617 gr
ISBN-13
978-88-470-5213-0 (9788847052130)
DOI
10.1007/978-88-470-5214-7
Schweitzer Classification
Other editions
Additional editions

Bertrand Maury
The Respiratory System in Equations
Book
06/2015
Springer
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Bertrand Maury
The Respiratory System in Equations
E-Book
05/2013
1st Edition
Springer
€96.29
Available for download
Person
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.
Content
Introduction.- Lumped models.- The lung as a resistive tree.- Computing velocity fields.- Gas exchanges.- The lung as an infinite tree.- Data.- Solutions to exercises.- Complements.- Glossary.