Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

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

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.
    Original languageEnglish
    Pages (from-to)71-76
    Number of pages6
    JournalApplied Mathematics Letters
    Volume8
    Issue number5
    DOIs
    Publication statusPublished - Sep 1995

    Keywords

    • Tumour angiogenesis
    • Chemotaxis
    • Nonlinear waves

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