On the concentration profile of a growth inhibitory factor in multicell spheroids

M.A. J. Chaplain, N. F. Britton

    Research output: Contribution to journalArticle

    24 Citations (Scopus)

    Abstract

    A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.
    Original languageEnglish
    Pages (from-to)233-245
    Number of pages13
    JournalMathematical Biosciences
    Volume115
    Issue number2
    DOIs
    Publication statusPublished - 1993

    Keywords

    • Growth inhibitory factors
    • Multicell spheroids

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