Efficient computations of gas transport in the respiratory tree.
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...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1797077761931608064 |
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| author | Whiteley, J Gavaghan, D |
| author_facet | Whiteley, J Gavaghan, D |
| author_sort | Whiteley, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:22:38Z |
| format | Journal article |
| id | oxford-uuid:7d126359-db7a-4781-b473-60454de7e0b7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:22:38Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:7d126359-db7a-4781-b473-60454de7e0b72022-03-26T21:01:02ZEfficient computations of gas transport in the respiratory tree.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7d126359-db7a-4781-b473-60454de7e0b7EnglishSymplectic Elements at Oxford2003Whiteley, JGavaghan, DThe 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. |
| spellingShingle | Whiteley, J Gavaghan, D Efficient computations of gas transport in the respiratory tree. |
| title | Efficient computations of gas transport in the respiratory tree. |
| title_full | Efficient computations of gas transport in the respiratory tree. |
| title_fullStr | Efficient computations of gas transport in the respiratory tree. |
| title_full_unstemmed | Efficient computations of gas transport in the respiratory tree. |
| title_short | Efficient computations of gas transport in the respiratory tree. |
| title_sort | efficient computations of gas transport in the respiratory tree |
| work_keys_str_mv | AT whiteleyj efficientcomputationsofgastransportintherespiratorytree AT gavaghand efficientcomputationsofgastransportintherespiratorytree |