Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

H. M. Byrne, M. A. J. Chaplain

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.
Original languageEnglish
Pages (from-to)71-76
Number of pages6
JournalApplied Mathematics Letters
Volume8
Issue number5
DOIs
Publication statusPublished - Sept 1995

Keywords

  • Tumour angiogenesis
  • Chemotaxis
  • Nonlinear waves

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