This book proposes an introduction to the mathematical modeling of the respiratory system. 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.
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.
Recensioner i media
"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)
Innehållsförteckning
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.