• Corpus ID: 239024503

Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment

  title={Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment},
  author={Giulia L. Celora and Helen M. Byrne and P. G. Kevrekidis},
We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stemness level of a cell, s, that determines its proliferative capacity, apoptosis propensity and response to treatment. Our study is based on numerical bifurcation analysis and dynamical simulations of a system of coupled non-local (in phenotypic “space”) partial differential equations that links the phenotypic evolution… 


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