Al-Shammari, AA, Gaffney, EA and Egginton, S orcid.org/0000-0002-3084-9692 (2014) Modelling oxygen capillary supply to striated muscle tissues. In: Ansari, A, (ed.) Advances in Applied Mathematics. Springer Proceedings in Mathematics & Statistics, 87 . Springer International , pp. 13-21. ISBN 9783319069227
Abstract
The ability to characterise functional capillary supply (FCS) plays a key role in developing effective therapeutic interventions for numerous pathological conditions, such as chronic ischaemia in skeletal or cardiac muscle. Detailed tissue geometry, such as muscle fibre size, has been incorporated into indices of FCS by considering the distribution of Voronoi tessellations (‘capillary domains’) generated from vessel locations in a plane perpendicular to muscle fibre orientation, implicitly assuming that each Voronoi polygon represents the area of supply of its enclosed capillary. However, to assess the capacity of FCS in muscle, we are naturally led to use a modelling framework that can account for the local anatomic and metabolic heterogeneities of muscle fibres. Such a framework can be used to explore the validity of the Voronoi polygon representation of FCS regions while also providing a general platform for robust predictions of FCS.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2014 Springer International Publishing Switzerland. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-06923-4_2 |
Keywords: | Mathematical modelling; Oxygen transport; Capillary supply; Capillary domains; Voronoi polygons; Trapping regions |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Biological Sciences (Leeds) > School of Biomedical Sciences (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Jul 2016 10:39 |
Last Modified: | 25 Oct 2016 05:13 |
Published Version: | https://dx.doi.org/10.1007/978-3-319-06923-4_2 |
Status: | Published |
Publisher: | Springer International |
Series Name: | Springer Proceedings in Mathematics & Statistics |
Identification Number: | 10.1007/978-3-319-06923-4_2 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:88465 |