The Respiratory System in Equations

  • Bertrand Maury

Part of the MS&A — Modeling, Simulation and Applications book series (MS&A)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Bertrand Maury
    Pages 1-11
  3. Bertrand Maury
    Pages 13-52
  4. Bertrand Maury
    Pages 53-95
  5. Bertrand Maury
    Pages 97-146
  6. Bertrand Maury
    Pages 147-180
  7. Bertrand Maury
    Pages 181-213
  8. Bertrand Maury
    Pages 215-224
  9. Back Matter
    Pages 225-278

About this book


The 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.


Fluid mechanics Modeling Resistive trees Respiratory system

Authors and affiliations

  • Bertrand Maury
    • 1
  1. 1.Department of Mathematics, UMR CNRS 8628Université Paris-SudOrsayFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Italia 2013
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-5213-0
  • Online ISBN 978-88-470-5214-7
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • Buy this book on publisher's site