Oxygen tension profiles in tumors predicted by a diffusion with absorption model involving a moving free boundary

DOI10.1016/0895-7177(88)90020-9zbMath0644.92004OpenAlexW2075538270MaRDI QIDQ1102888

B. H. Arve, A. I. Liapis

Publication date: 1988

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(88)90020-9

zbMATH Keywords

chemotherapyradiotherapyhypoxiaoxygen concentrationdiffusion with absorption modelMichaelis-Menten expressionmoving free boundaryoxygen radiosensitivity curveoxygen tension distribution in tumorsoxygen uptake ratesradiation dosagerate of oxygen absorption

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Partial differential equations of mathematical physics and other areas of application (35Q99) Computational methods for problems pertaining to biology (92-08)

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Cites Work

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• Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
• Sequential Tests for the Mean of a Normal Distribution II (Large $t$)
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
• Models for the Growth of a Solid Tumor by Diffusion

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