A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
- 1 August 1972
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 10 (1) , 19-33
- https://doi.org/10.1093/imamat/10.1.19
Abstract
Approximate analytical and numerical solutions of a partial differential equation are obtained which describe the diffusion of oxygen in an absorbing medium. Essential mathematical difficulties are associated with the presence of a moving boundary which marks the furthest penetration of oxygen into the medium and also with the need to allow for an initial distribution of oxygen through the medium.Keywords
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