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

B. D. Sleeman, A. R. A. Anderson, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    21 Citations (Scopus)

    Abstract

    An analysis of a parabolic partial differential equation modelling capillary network formation is presented. The model includes terms representing cell random motility, chemotaxis, and haptotaxis due to the presence of chemical stimuli: tumour angiogenic factors and fibronectin. The analysis provides an underlying insight into mechanisms of cell migration which are crucial for tumour angiogenesis. Specific 1 and 2D examples are discussed in detail.
    Original languageEnglish
    Pages (from-to)121-127
    Number of pages7
    JournalApplied Mathematics Letters
    Volume12
    Issue number8
    DOIs
    Publication statusPublished - 1999

    Keywords

    • Angiogenesis
    • Chemotaxis
    • Haptotaxis

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