The Respiratory System in Equations

By: Bertrand Maury

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Paperback | 26 June 2015

At a Glance

Paperback
300 Pages

Dimensions(cm)
23.5 x 15.49 x 1.6

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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.

Industry 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)

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