Global existence for a degenerate haptotaxis model of cancer invasion

Anna Zhigun, Christina Surulescu, Aydar Uatay

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We propose and study a strongly coupled PDE–ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix. We prove the global existence of weak solutions and illustrate the model behavior by numerical simulations for a two-dimensional setting.
Original languageEnglish
Number of pages29
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume67
Issue number146
Early online date07 Nov 2016
DOIs
Publication statusPublished - 01 Dec 2016

Keywords

  • Cancer cell invasion
  • Degenerate diffusion
  • Global existence
  • Haptotaxis
  • Parabolic system
  • Weak solution

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