Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

M. A. J. Chaplain, D. L. Benson, P. K. Maini

    Research output: Contribution to journalArticle

    26 Citations (Scopus)

    Abstract

    A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production team. The results of the new model are compared with those of previous models and with experimental data.
    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalMathematical Biosciences
    Volume121
    Issue number1
    DOIs
    Publication statusPublished - 1994

    Keywords

    • Growth inhibitory factors
    • Multicell spheroids
    • Mathematical modelling

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