AffiliationUniv Arizona, Dept Math
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CitationStepien, T. L., Rutter, E. M., & Kuang, Y. (2018). Traveling Waves of a Go-or-Grow Model of Glioma Growth. SIAM Journal on Applied Mathematics, 78(3), 1778-1801. https://doi.org/10.1137/17M1146257
Rights© 2018, Society for Industrial and Applied Mathematics
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AbstractGlioblastoma multiforme is a deadly brain cancer in which tumor cells excessively proliferate and migrate. The first mathematical models of the spread of gliomas featured reactiondiffusion equations, and later an idea emerged through experimental study called the "Go or Grow" hypothesis in which glioma cells have a dichotomous behavior: a cell either primarily proliferates or primarily migrates. We analytically investigate an extreme form of the "Go or Grow" hypothesis where tumor cell motility and cell proliferation are considered as separate processes. Different solution types are examined via approximate solution of traveling wave equations, and we determine conditions for various wave front forms.
VersionFinal published version
SponsorsNSF [DMS-1518529, DMS-1615879]