A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix

Nadja Hellmann, Niklas Kolbe, Nikolaos Sfakianakis

Research output: Contribution to journalArticlepeer-review

Abstract

Current biological knowledge supports the existence of a secondary group of cancer cells within the body of the tumour that exhibits stem cell-like properties. These cells are termed Cancer Stem Cells (CSCs}, and as opposed to the more usual Differentiated Cancer Cells (DCCs), they exhibit higher motility, they are more resilient to therapy, and are able to metastasize to secondary locations within the organism and produce new tumours. The origin of the CSCs is not completely clear; they seem to stem from the DCCs via a transition process related to the Epithelial-Mesenchymal Transition (EMT) that can also be found in normal tissue. In the current work we model and numerically study the transition between these two types of cancer cells, and the resulting "ensemble" invasion of the extracellular matrix. This leads to the derivation and numerical simulation of two systems: an algebraic-elliptic system for the transition and an advection-reaction-diffusion system of Keller-Segel taxis type for the invasion.
Original languageEnglish
Journal Bulletin of the Brazilian Mathematical Society, New Series
Volume47
Issue number1
Publication statusPublished - 1 May 2015

Keywords

  • Quantitative Biology - Cell Behavior
  • Mathematics - Numerical Analysis
  • Quantitative Biology - Tissues and Organs

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