Computing velocity fields
Inertia is known to play a significant role in the upper part of the respiratory tract. Additionally, an accurate description of the air velocity field in the branches can be useful in many situations, for example if one aims at investigating the depositi
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Bertrand Maury
The Respiratory System in Equations
Bertrand Maury Department of Mathematics, UMR CNRS 8628 Université Paris-Sud 91405 Orsay France [email protected]
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ISSN 2037-5255 ISSN: 2037-5263 (electronic) MS&A – Modeling, Simulation & Applications ISBN 978-88-470-5213-0 DOI 10.1007/978-88-470-5214-7
ISBN 978-88-470-5214-7 (~~eBook)
Springer Milan Heidelberg New York Dordrecht London Library of Congress Control Number: 2012952032
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Preface
Mathematical modeling The modeling of a complex system can be decomposed into three phases. Phase I consists in identifying its functions (most organs in the human body have more than one), to introduce quantities that are relevant with respect to those functions, and to design relations (equations) between those quantities in order to obtain a mathematical problem.
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