TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - The Respiratory System in Equations
T2  - MS&A  Modeling, Simulation and Applications,
SN  - 9788847052147
AV  - QA372 
U1  - 515.352 23
PY  - 2013///
CY  - Milano
PB  - Springer Milan, Imprint: Springer
KW  - Mathematics
KW  - Pneumology
KW  - Electronic data processing
KW  - Differential Equations
KW  - Ordinary Differential Equations
KW  - Fluid- and Aerodynamics
KW  - Pneumology/Respiratory System
KW  - Numeric Computing
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-88-470-5214-7
ER  -