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Efficient computations of gas transport in the respiratory tree

JP Whiteley and DJ Gavaghan

Abstract

The equation governing the transport of an inert gas in the respiratory tree is a linear PDE. There are several clinical situations where the PDE must be solved on a large number of consecutive breaths and, on each breath, a very small number of linear functionals of this solution evaluated. In this study we show how the solution of a relatively small number of adjoint problems may be used to calculate these linear functionals, thus reducing the volume of computation significantly. This technique may be used with other physical problems

ISSN
02650746
Journal
MATHEMATICAL MEDICINE AND BIOLOGY−A JOURNAL OF THE IMA    
Keywords
model
Month
Mar
Number
1
Pages
91–104
Volume
20
Year
2003