The Respiratory System in Equations | Buch

Cover: 9788847052130 | The Respiratory System in Equations | Bertrand Maury | Buch | MS&A

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Bertrand Maury is Professor of Mathematics at the Université Paris-Sud, Orsay (France). He is also adjunct Professor at the Ecole Polytechnique, Docent Professor at the University of Jyväskylä (Finland), and junior member of the Institut Universitaire de France. His domains of interest extend from Computational Fluid Dynamics and Numerical Analysis, to modeling in life sciences and Optimal Transportation.

Zusammenfassung

Numerous exercises helping the reader to learn quickly

Online programs allowing the reader to perform his own computations

No prior knowledge on physiology required

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2013
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	MS&A
Inhalt:	xvii 278 S. 50 s/w Illustr. 1 farbige Illustr.
ISBN-13:	9788847052130
ISBN-10:	8847052130
Sprache:	Englisch
Herstellernummer:	86189484
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Maury, Bertrand
Hersteller:	Springer Milan Springer Italia S.r.l. MS&A
Maße:	241 x 160 x 22 mm
Von/Mit:	Bertrand Maury
Erscheinungsdatum:	22.01.2013
Gewicht:	0,617 kg

Artikel-ID: 106172166