Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs

Inert gas exchange in tissue has been almost exclusively modelled by using an ordinary differential equation. The mathematical model that is used to derive this ordinary differential equation assumes that the partial pressure of an inert gas (which is proportional to the content of that gas) is a fu...

Full description

Bibliographic Details
Main Authors: Whiteley, J, Gavaghan, D, Hahn, C
Format: Journal article
Published: 2001
_version_ 1826294413354074112
author Whiteley, J
Gavaghan, D
Hahn, C
author_facet Whiteley, J
Gavaghan, D
Hahn, C
author_sort Whiteley, J
collection OXFORD
description Inert gas exchange in tissue has been almost exclusively modelled by using an ordinary differential equation. The mathematical model that is used to derive this ordinary differential equation assumes that the partial pressure of an inert gas (which is proportional to the content of that gas) is a function only of time. This mathematical model does not allow for spatial variations in inert gas partial pressure. This model is also dependent only on the ratio of blood flow to tissue volume, and so does not take account of the shape of the body compartment or of the density of the capillaries that supply blood to this tissue. The partial pressure of a given inert
first_indexed 2024-03-07T03:45:15Z
format Journal article
id oxford-uuid:bf3f34d6-30a5-42e7-bcc4-23664012a124
institution University of Oxford
last_indexed 2024-03-07T03:45:15Z
publishDate 2001
record_format dspace
spelling oxford-uuid:bf3f34d6-30a5-42e7-bcc4-23664012a1242022-03-27T05:46:01ZModelling inert gas exchange in tissue and mixed−venous blood return to the lungsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bf3f34d6-30a5-42e7-bcc4-23664012a124Department of Computer Science2001Whiteley, JGavaghan, DHahn, CInert gas exchange in tissue has been almost exclusively modelled by using an ordinary differential equation. The mathematical model that is used to derive this ordinary differential equation assumes that the partial pressure of an inert gas (which is proportional to the content of that gas) is a function only of time. This mathematical model does not allow for spatial variations in inert gas partial pressure. This model is also dependent only on the ratio of blood flow to tissue volume, and so does not take account of the shape of the body compartment or of the density of the capillaries that supply blood to this tissue. The partial pressure of a given inert
spellingShingle Whiteley, J
Gavaghan, D
Hahn, C
Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title_full Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title_fullStr Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title_full_unstemmed Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title_short Modelling inert gas exchange in tissue and mixed−venous blood return to the lungs
title_sort modelling inert gas exchange in tissue and mixed venous blood return to the lungs
work_keys_str_mv AT whiteleyj modellinginertgasexchangeintissueandmixedvenousbloodreturntothelungs
AT gavaghand modellinginertgasexchangeintissueandmixedvenousbloodreturntothelungs
AT hahnc modellinginertgasexchangeintissueandmixedvenousbloodreturntothelungs