Efficient computations of gas transport in the respiratory tree.

Journal article

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.

Authors: Whiteley, J; Gavaghan, D

• Publication status: Published
• Journal: Mathematical medicine and biology : a journal of the IMA
• Volume: 20
• Issue: 1
• Pages: 91-104
• Publication date: 2003-03-01
• DOI: 10.1093/imammb/20.1.91
• EISSN: 1477-8602
• ISSN: 1477-8599
• Language: English
• Keywords: Respiratory System; Humans; Numerical Analysis, Computer-Assisted; Carbon Dioxide; Partial Pressure; Nitrogen; Models, Biological; Pulmonary Gas Exchange