The Respiratory System in Equations / MS&A (PDF)
(Sprache: Englisch)
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...
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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.
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.
Autoren-Porträt von Bertrand Maury
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.
Bibliographische Angaben
- Autor: Bertrand Maury
- 2013, 2013, 278 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 8847052149
- ISBN-13: 9788847052147
- Erscheinungsdatum: 13.05.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 3.40 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Pressezitat
“This book models respiratory system using ordinary and partial differential equations. … this is a very good book on an extremely difficult topic.” (E. Ahmed, zbMATH 1312.92005, 2015)“It is designed as an introduction to mathematical modeling in the particular context of the respiratory system. … this book is a most valuable reference for students and researchers in the fields of applied mathematics, bioengineering and medicine who are interested in the challenging field of modeling how the respiratory system works.” (Marcela Szopos, Mathematical Reviews, September, 2014)
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