A novel 3D atomistic-continuum cancer invasion model: in silico simulations of an in vitro organotypic invasion assay

Linnea C. Franssen, Nikolaos Sfakianakis*, Mark Andrew Joseph Chaplain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a three-dimensional genuinely hybrid atomistic-continuum model that describes the invasive growth dynamics of individual cancer cells in tissue. The framework explicitly accounts for phenotypic variation by distinguishing between cancer cells of an epithelial-like and a mesenchymal-like phenotype. It also describes mutations between these cell phenotypes in the form of epithelial-mesenchymal transition (EMT) and its reverse process mesenchymal-epithelial transition (MET). The proposed model consists of a hybrid system of partial and stochastic differential equations that describe the evolution of epithelial-like and mesenchymal-like cancer cells, respectively, under the consideration of matrix-degrading enzyme concentrations and the extracellular matrix density. With the help of inverse parameter estimation and a sensitivity analysis, this three-dimensional model is then calibrated to an in vitro organotypic invasion assay experiment of oral squamous cell carcinoma cells.
Original languageEnglish
Article number110677
Number of pages14
JournalJournal of Theoretical Biology
Volume522
Early online date27 Mar 2021
DOIs
Publication statusPublished - 7 Aug 2021

Keywords

  • Cancer invasion
  • Organotypic assay
  • Atomistic-continuum model

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