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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...

This book introduces concepts and techniques for mathematical modeling of the respiratory system, using differential equations, resistive networks and other mathematical tools. Offers state-of-the-art modeling techniques, and several detailed exercises.