A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations

Nikolaos Sfakianakis*, Niklas Kolbe, Nadja Hellmann, Mária Lukáčová-Medvid’ová

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

We propose a multiscale model for the invasion of the extracellular matrix by two types of cancer cells, the differentiated cancer cells and the cancer stem cells. We investigate the epithelial mesenchymal-like transition between them being driven primarily by the epidermal growth factors. We moreover take into account the transdifferentiation program of the cancer stem cells towards the cancer-associated fibroblast cells as well as the fibroblast-driven remodelling of the extracellular matrix. The proposed haptotaxis model combines the macroscopic phenomenon of the invasion of the extracellular matrix by both types of cancer cells with the microscopic dynamics of the epidermal growth factors. We analyse our model in a component-wise manner and compare our findings with the literature. We investigate pathological situations regarding the epidermal growth factors and accordingly propose “mathematical-treatment” scenarios to control the aggressiveness of the tumour.

Original languageEnglish
Pages (from-to)209-235
Number of pages27
JournalBulletin of Mathematical Biology
Volume79
Issue number1
Early online date30 Nov 2016
DOIs
Publication statusPublished - Jan 2017

Keywords

  • Cancer stem cell invasion
  • Epidermal growth factor receptors
  • Epithelial mesenchymal transition
  • Extracellular matrix

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