Free boundary value problems associated with the growth and development of multicellular spheroids

H. M. Byrne, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    126 Citations (Scopus)

    Abstract

    In this paper a generalized model for the growth of avascular tumours is presented. The formulation leads naturally to the incorporation of free boundaries which define the outer tumour surface explicitly and various inner surfaces implicitly. A combination of numerical simulations, asymptotic analysis and perturbation techniques is used to study the model and yields results, which agree well with experimentally-observed phenomena.
    Original languageEnglish
    Pages (from-to)639-658
    Number of pages20
    JournalEuropean Journal of Applied Mathematics
    Volume8
    Issue number6
    DOIs
    Publication statusPublished - 1998

    Keywords

    • Avascular tumour
    • Multicell spheroids

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