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Numerical solution of the oxygen diffusion problem in cylindrically shaped sections of tissue
Author(s) -
Boureghda Abdellatif
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1591
Subject(s) - penetration (warfare) , diffusion , partial differential equation , boundary value problem , oxygen , finite difference method , diffusion equation , mechanics , absorption (acoustics) , differential equation , numerical analysis , materials science , mathematical analysis , mathematics , thermodynamics , physics , composite material , engineering , metric (unit) , operations management , operations research , quantum mechanics
A mathematical model is presented which describes the diffusion of oxygen in absorbing tissue, and numerical solution of its partial differential equation is obtained by the finite difference equations. The diffusion with absorption model is associated with the process of a moving boundary which marks the furthest penetration of oxygen in the absorbing cylindrically shaped sections of tissue and also allows for an initial distribution of oxygen through the absorbing tissue. Copyright © 2007 John Wiley & Sons, Ltd.