An analysis of a mathematical model of trophoblast invasion

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

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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
Issue number8
Publication statusPublished - 2001


  • Placental development
  • Trophoblast invasion
  • Mathematical modelling


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