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Reference: Whiteley, JP, Gavaghan, DJ and Hahn, CEW, (2005). Oxygen transport to muscle tissue where regions of low oxygen tension exist. MATHEMATICAL AND COMPUTER MODELLING, 42 (9-10), 1113-1122.Citable link to this page:

 

Oxygen transport to muscle tissue where regions of low oxygen tension exist

Abstract: 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.

Peer Review status:Peer reviewedPublication status:PublishedVersion:Publisher versionNotes:Copyright 2005 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Bibliographic Details

Publisher: Elsevier B.V.

Publisher Website: http://www.elsevier.com/

Journal: MATHEMATICAL AND COMPUTER MODELLINGsee more from them

Publication Website: http://www.sciencedirect.com/science/journal/08957177

Issue Date: 2005-11

pages:1113-1122Identifiers

Urn: uuid:6f038ad9-ac3f-4e58-ae11-ae84080e213c

Source identifier: 242868

Doi: https://doi.org/10.1016/j.mcm.2004.09.009

Issn: 0895-7177 Item Description

Type: Journal article;

Language: eng

Version: Publisher versionKeywords: oxygen transport myoglobin low oxygen Tiny URL: pubs:242868

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Author: Whiteley, JP - institutionUniversity of Oxford Oxford, MPLS, Computer Science grantNumberGR-M60705 fundingEngineering and Physica

Source: https://ora.ox.ac.uk/objects/uuid:6f038ad9-ac3f-4e58-ae11-ae84080e213c



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