An analysis of a mathematical model of trophoblast invasion

H. M. Byrne, M. A. J. Chaplain, G. J. Pettet, D. L. S. McElwain

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    15 Citations (Scopus)

    Abstract

    We present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests that as the timescale of interest increases, the dominant migratory mechanism of the trophoblasts switches from chemotaxis to nonlinear random motion.
    Original languageEnglish
    Pages (from-to)1005-1010
    Number of pages6
    JournalApplied Mathematics Letters
    Volume14
    Issue number8
    DOIs
    Publication statusPublished - 2001

    Keywords

    • Placental development
    • Trophoblast invasion
    • Mathematical modelling

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