A mathematical model of the first steps of tumour-related angiogenesis: capillary sprout formation and secondary branching

M. E. Orme, M. A. J. Chaplain

    Research output: Contribution to journalArticlepeer-review

    75 Citations (Scopus)

    Abstract

    The growth of a solid tumour is dependent on an adequate supply of nutrients. A tumour can establish a blood supply by inducing neighbouring blood vessels to sprout and grow towards it, a process known as angiogenesis. The tumour cells may secrete a number of diffusible chemicals which stimulate endothelial cells to migrate, to rearrange themselves into capillary tubes or sprouts, and to proliferate. In this paper we focus firstly upon the early stage of angiogenesis wherein the endothelial cells group together in the parent vessel to form the initial capillary-sprout buds. A mathematical model for the formation of the capillary buds is presented which focuses on the potential role that haptotaxis may play. In Section 2 we turn attention to the endothelial cells within the growing and developing capillary sprouts as they migrate towards the tumour cells. Once again the potential role of haptotaxis is focused upon.
    Original languageEnglish
    Pages (from-to)73-98
    Number of pages26
    JournalIMA Journal of Mathematics Applied in Medicine and Biology
    Volume13
    Issue number2
    DOIs
    Publication statusPublished - 1996

    Keywords

    • Angiogenesis
    • Haptotaxis
    • Mathematical modelling

    Fingerprint Dive into the research topics of 'A mathematical model of the first steps of tumour-related angiogenesis: capillary sprout formation and secondary branching'. Together they form a unique fingerprint.

    Cite this