Mathematical Biosciences and Engineering (Jul 2020)

Identifying the spatial and temporal dynamics of molecularly-distinct glioblastoma sub-populations

  • Bethan Morris,
  • Lee Curtin,
  • Andrea Hawkins-Daarud,
  • Matthew E. Hubbard,
  • Ruman Rahman,
  • Stuart J. Smith ,
  • Dorothee Auer ,
  • Nhan L. Tran,
  • Leland S. Hu,
  • Jennifer M. Eschbacher ,
  • Kris A. Smith,
  • Ashley Stokes ,
  • Kristin R. Swanson ,
  • Markus R. Owen

DOI
https://doi.org/10.3934/mbe.2020267
Journal volume & issue
Vol. 17, no. 5
pp. 4905 – 4941

Abstract

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Glioblastomas (GBMs) are the most aggressive primary brain tumours and have no known cure. Each individual tumour comprises multiple sub-populations of genetically-distinct cells that may respond differently to targeted therapies and may contribute to disappointing clinical trial results. Image-localized biopsy techniques allow multiple biopsies to be taken during surgery and provide information that identifies regions where particular sub-populations occur within an individual GBM, thus providing insight into their regional genetic variability. These sub-populations may also interact with one another in a competitive or cooperative manner; it is important to ascertain the nature of these interactions, as they may have implications for responses to targeted therapies. We combine genetic information from biopsies with a mechanistic model of interacting GBM sub-populations to characterise the nature of interactions between two commonly occurring GBM sub-populations, those with EGFR and PDGFRA genes amplified. We study population levels found across image-localized biopsy data from a cohort of 25 patients and compare this to model outputs under competitive, cooperative and neutral interaction assumptions. We explore other factors affecting the observed simulated sub-populations, such as selection advantages and phylogenetic ordering of mutations, which may also contribute to the levels of EGFR and PDGFRA amplified populations observed in biopsy data.

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