Oxygen transport to muscle tissue where regions of low oxygen tension exist
Most studies devoted to mathematical modelling of oxygen transport to tissue have assumed a constant oxygen consumption, independent of oxygen tension, whilst oxygen concentration remains positive. However, it is more physiologically realistic to allow the oxygen consumption to fall continuously to...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2005
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| _version_ | 1797074711289528320 |
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| author | Whiteley, J Gavaghan, D Hahn, C |
| author_facet | Whiteley, J Gavaghan, D Hahn, C |
| author_sort | Whiteley, J |
| collection | OXFORD |
| description | Most studies devoted to mathematical modelling of oxygen transport to tissue have assumed a constant oxygen consumption, independent of oxygen tension, whilst oxygen concentration remains positive. However, it is more physiologically realistic to allow the oxygen consumption to fall continuously to zero as the oxygen tension falls towards zero for low oxygen tensions. We show that using this more physiologically realistic oxygen consumption in a mathematical model of oxygen transport to tissue gives a significantly different solution to the governing equations when areas of low oxygen tension exist. We then use this method of modelling oxygen consumption to compare the location of regions of low tissue oxygen tension predicted by two previously published mathematical models of oxygen transport. The two models are a partial differential equation (PDE) model, and an ordinary differential equation (ODE) model that is a simplification of the PDE model. We show that most of the predictions of the ODE model are almost identical to those of the PDE model, but there are some significant differences. © 2005 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-06T23:40:06Z |
| format | Journal article |
| id | oxford-uuid:6f038ad9-ac3f-4e58-ae11-ae84080e213c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:40:06Z |
| publishDate | 2005 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:6f038ad9-ac3f-4e58-ae11-ae84080e213c2022-03-26T19:28:04ZOxygen transport to muscle tissue where regions of low oxygen tension existJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6f038ad9-ac3f-4e58-ae11-ae84080e213cEnglishSymplectic Elements at OxfordElsevier2005Whiteley, JGavaghan, DHahn, CMost studies devoted to mathematical modelling of oxygen transport to tissue have assumed a constant oxygen consumption, independent of oxygen tension, whilst oxygen concentration remains positive. However, it is more physiologically realistic to allow the oxygen consumption to fall continuously to zero as the oxygen tension falls towards zero for low oxygen tensions. We show that using this more physiologically realistic oxygen consumption in a mathematical model of oxygen transport to tissue gives a significantly different solution to the governing equations when areas of low oxygen tension exist. We then use this method of modelling oxygen consumption to compare the location of regions of low tissue oxygen tension predicted by two previously published mathematical models of oxygen transport. The two models are a partial differential equation (PDE) model, and an ordinary differential equation (ODE) model that is a simplification of the PDE model. We show that most of the predictions of the ODE model are almost identical to those of the PDE model, but there are some significant differences. © 2005 Elsevier Ltd. All rights reserved. |
| spellingShingle | Whiteley, J Gavaghan, D Hahn, C Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title | Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title_full | Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title_fullStr | Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title_full_unstemmed | Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title_short | Oxygen transport to muscle tissue where regions of low oxygen tension exist |
| title_sort | oxygen transport to muscle tissue where regions of low oxygen tension exist |
| work_keys_str_mv | AT whiteleyj oxygentransporttomuscletissuewhereregionsoflowoxygentensionexist AT gavaghand oxygentransporttomuscletissuewhereregionsoflowoxygentensionexist AT hahnc oxygentransporttomuscletissuewhereregionsoflowoxygentensionexist |