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A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
153
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References
1972
Year
Numerical AnalysisAbsorbing MediumEngineeringFurthest PenetrationDiffusion ResistanceFree Boundary ProblemFluid MechanicsDiffusion ProcessAbsorbing TissueTransport PhenomenaGas Exchange ProcessAnomalous DiffusionBiomedical EngineeringBiophysicsNumerical Method For Partial Differential Equation
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.