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The Respiratory System in Equations

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Maury, Bertrand (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Milano : Springer Milan : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:MS&A, Modeling, Simulation and Applications,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 4 |a The Respiratory System in Equations  |h [electronic resource] /  |c by Bertrand Maury. 
250 |a 1st ed. 2013. 
264 1 |a Milano :  |b Springer Milan :  |b Imprint: Springer,  |c 2013. 
300 |a XVII, 278 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a MS&A, Modeling, Simulation and Applications,  |x 2037-5263 
505 0 |a 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. 
520 |a 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. 
650 0 |a Differential equations. 
650 0 |a Continuum mechanics. 
650 0 |a Respiratory organs-Diseases. 
650 0 |a Numerical analysis. 
650 1 4 |a Differential Equations. 
650 2 4 |a Continuum Mechanics. 
650 2 4 |a Pneumology. 
650 2 4 |a Numerical Analysis. 
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