000 02826nam a22004935i 4500
001 978-88-470-5214-7
003 DE-He213
005 20140220082930.0
007 cr nn 008mamaa
008 130511s2013 it | s |||| 0|eng d
020 _a9788847052147
_9978-88-470-5214-7
024 7 _a10.1007/978-88-470-5214-7
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aMaury, Bertrand.
_eauthor.
245 1 4 _aThe Respiratory System in Equations
_h[electronic resource] /
_cby Bertrand Maury.
264 1 _aMilano :
_bSpringer Milan :
_bImprint: Springer,
_c2013.
300 _aApprox. 300 p. 51 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMS&A — Modeling, Simulation and Applications,
_x2037-5255
505 0 _aIntroduction -- 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 _aThe 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 _aMathematics.
650 0 _aPneumology.
650 0 _aElectronic data processing.
650 0 _aDifferential Equations.
650 1 4 _aMathematics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aFluid- and Aerodynamics.
650 2 4 _aPneumology/Respiratory System.
650 2 4 _aNumeric Computing.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788847052130
830 0 _aMS&A — Modeling, Simulation and Applications,
_x2037-5255
856 4 0 _uhttp://dx.doi.org/10.1007/978-88-470-5214-7
912 _aZDB-2-SMA
999 _c99265
_d99265