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＜電子ブック＞
The Respiratory System in Equations / by Bertrand Maury
(MS&A, Modeling, Simulation and Applications. ISSN:20375263)

版	1st ed. 2013.
出版者	(Milano : Springer Milan : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	XVII, 278 p : online resource
著者標目	*Maury, Bertrand author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Continuum mechanics LCSH:Respiratory organs -- Diseases  全ての件名で検索 LCSH:Numerical analysis FREE:Differential Equations FREE:Continuum Mechanics FREE:Pneumology FREE:Numerical Analysis
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-88-470-5214-7

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