The Respiratory System in Equations by Bertrand Maury
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.-
Analysis and Control of the Variable Density Incompressible Navier-Stokes Equations
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The Hybrid High-Order Method for Polytopal Meshes
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Homogenization Theory for Multiscale Problems
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The Mimetic Finite Difference Method for Elliptic Problems
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Numerical Analysis of Compressible Fluid Flows
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Reduced Order Methods for Modeling and Computational Reduction
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Mathematical Modeling and Signal Processing in Speech and Hearing Sciences
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Introduction to Modeling Biological Cellular Control Systems
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Eddy Current Approximation of Maxwell Equations
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MATHKNOW
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Modeling of Physiological Flows
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Modeling the Heart and the Circulatory System
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Hemomath
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Cardiovascular Mathematics
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Numerical Models for Differential Problems
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Multiscale Modeling of Pedestrian Dynamics
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Model Reduction of Parametrized Systems
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Mathematical Models for Suspension Bridges
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Mathematical Cardiac Electrophysiology
“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)
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.
| SKU | Unavailable |
| ISBN 13 | 9788847052130 |
| ISBN 10 | 8847052130 |
| Title | The Respiratory System in Equations |
| Author | Bertrand Maury |
| Series | Ms And A |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer Verlag |
| Year published | 2013-01-22 |
| Number of pages | 278 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |