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Numerical study of oxygen diffusion from capillary to tissues during hypoxia with external force effects

Srivastava, V, Tripathi, D and Beg, A 2016, 'Numerical study of oxygen diffusion from capillary to tissues during hypoxia with external force effects' , Journal of Mechanics in Medicine and Biology (jmmb), 17 (2) , 1750027.1-1750027.20. (In Press)

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A mathematical model to simulate oxygen delivery through a capillary to tissues under the influence of an external force field is presented. The multi-term general fractional diffusion equation containing force terms and a time dependent absorbent term is taken into account. Fractional calculus is applied to describe the phenomenon of sub-diffusion of oxygen in both transverse and longitudinal directions. A new computational algorithm, i.e., the new iterative method (NIM) is employed to solve the spatio-temporal fractional partial differential equation subject to appropriate physical boundary conditions. Validation of NIM solutions is achieved with a modified Adomian decomposition method (MADM). A parametric study is conducted for three loading scenarios on the capillary-radial force alone, axial force alone and the combined case of both forces. The results demonstrate that the force terms markedly influence the oxygen diffusion process. For example, the radial force exerts a more profound effect than axial force on sub-diffusion of oxygen indicating that careful manipulation of these forces on capillary tissues may assist in the effective reduction of hypoxia or other oxygen depletion phenomena.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: Journal of Mechanics in Medicine and Biology (jmmb)
Publisher: World Scientific Publishing
ISSN: 0219-5194
Funders: Non funded research
Depositing User: A Beg
Date Deposited: 11 May 2016 13:59
Last Modified: 11 May 2016 13:59

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