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.