LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Al-Shammari, AA; Gaffney, EA; Egginton, S (2014)
Publisher: Springer International
Languages: English
Types: Part of book or chapter of book
Subjects:

Classified by OpenAIRE into

mesheuropmc: lipids (amino acids, peptides, and proteins)
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.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • 1. A.A. Al-Shammari, E.A. Gaffney and S. Egginton (2012), Re-evaluating the use of Voronoi Tessellations in the assessment of oxygen supply from capillaries in muscle, Bulletin of Mathematical Biology, 74(9):2204- 31, DOI: 10.1007/s11538-012-9753-x
    • 2. A.A. Al-Shammari, E.A. Gaffney and S. Egginton (2014), Modelling oxygen capillary supply capacity in mixed muscles: capillary domains revisited, Journal of Theoretical Biology, Submitted.
    • 3. H. Degens, D. Deveci, A. Botto-Van Bemden, L.J.C Hoofd and S. Egginton, S. (2006), Maintenance of heterogeneity of capillary spacing is essential for adequate oxygenation in the soleus muscle of the growing rat, Microcirculation, 13:467476.
    • 4. S. Egginton (1990), Morphometric analysis of tissue capillary supply. In: Boutilier, RG (ed) Vertebrate Gas Exchange from Environment to Cell. Advances in Comparative and Environmental Physiology 6, 73-141.
    • 5. S. Egginton and H.F. Ross (1992), Planar analysis of tissue capillary supply, Society for Experimental Biology Seminar Series , Vol 51: Oxygen Transport in Biological Systems, Cambridge University Press, pp165-195.
    • 6. S. Egginton and E. A. Gaffney (2010), Tissue capillary supply its quality not quantity that counts!, Experimental Physiology, 95(10): 971-979.
    • 7. J.M. Gonzalez-Fernandez and S.E. Atta (1972), Concentration of oxygen around capillaries in polygonal regions of supply, Mathematical Biosciences, 13:55-69.
    • 8. L. Hoofd, Z. Turek, K. Kubat, B.E.M and S. Kazda (1985), Variability of intercapillary distance estimated on histological sections of rat heart, Advances in Experimental Medicine and Biology, 191:239-47.
    • 9. L. Hoofd, Z. Turek and J. Olders (1989), Calculation of oxygen pressures and fluxes in a flat plane perpendicular to any capillary distribution, in: “Oxygen Transport to Tissue XI,” K. Rakusan, G. Biro, T. K. Goldstick, and Z. Turek, eds., Plenum Press, New York and London, pp. 187-196.
    • 10. A. Krogh (1919), The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue, Journal of Physiology, 52:391-408, 409415, 457-474.
    • 11. F. Kreuzer (1982), Oxygen supply to tissues: the krogh model and its assumptions, Experientia, 38:14151426.
    • 12. The Mathworks, Inc. (2013). Partial Differential Equations Toolbox: User's Guide (R2013b). Retrieved November 2, 2013 from http://www.mathworks.co.uk/help/pdf doc/pde/pde.pdf
    • 13. C.Y. Wang and J.B. Bassingthwaitghte (2001), Capillary supply regions, Mathematical Biosciences, 173:103114.
    • 14. World Health Organization, The top 10 causes of death. Retrieved December 22, 2013 from http://www.who.int/mediacentre/factsheets/fs310/en/
    • 15. R.C.I. Wu¨st, S.L. Gibbings and H. Degens (2009). Fiber capillary supply related to fiber size and oxidative capacity in human and rat skeletal muscle, P. Liss, P. Hansell, D.F. Bruley and D.K. Harrison (eds.), Oxygen Transport to Tissue XXX , vol. 645 of Advances in Experimental Medicine and Biology, pp. 7580.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article