A mathematical model for capillary network formation in the absence of endothelial cell proliferation

A. R. A. Anderson, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    69 Citations (Scopus)

    Abstract

    A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.
    Original languageEnglish
    Pages (from-to)109-114
    Number of pages6
    JournalApplied Mathematics Letters
    Volume11
    Issue number3
    DOIs
    Publication statusPublished - May 1998

    Keywords

    • Angiogenesis
    • Endothelial cells
    • Chemotaxis
    • Haptotaxis

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