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Harmonic Analysis and Representation Commons

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1988

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Full-Text Articles in Harmonic Analysis and Representation

A Mathematical Model Of Tumor Growth By Diffusion, John A. Adam Jan 1988

A Mathematical Model Of Tumor Growth By Diffusion, John A. Adam

Mathematics & Statistics Faculty Publications

A diffusion model of the prevascular stage of tumor growth is presented. The basic feature of such a model is the diffusion of growth inhibitor, which is produced at a spatially non-uniform rate within the tissue. Regimes of limited and unlimited tissue growth are determined, and the consistency of this and simpler models is discussed in the light of observational results.