The biology and mathematical modelling of glioma invasion: A review

J. C.L. Alfonso, K. Talkenberger, M. Seifert, B. Klink, A. Hawkins-Daarud, K. R. Swanson, H. Hatzikirou, A. Deutsch*

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

141 Citations (Scopus)


Adult gliomas are aggressive brain tumours associated with low patient survival rates and limited life expectancy. The most important hallmark of this type of tumour is its invasive behaviour, characterized by a markedly phenotypic plasticity, infiltrative tumour morphologies and the ability of malignant progression from low-To high-grade tumour types. Indeed, the widespread infiltration of healthy brain tissue by glioma cells is largely responsible for poor prognosis and the difficulty of finding curative therapies. Meanwhile, mathematical models have been established to analyse potential mechanisms of glioma invasion. In this review, we start with a brief introduction to current biological knowledge about glioma invasion, and then critically review and highlight future challenges for mathematical models of glioma invasion.

Original languageEnglish
Article number20170490
JournalJournal of the Royal Society Interface
Issue number136
Publication statusPublished - Nov 2017
Externally publishedYes


  • Cell phenotypic plasticity
  • Glioma invasion
  • Infiltrative tumour morphology
  • Malignant progression
  • Mathematical modelling


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