Modelling the internalization of labelled cells in tumour spheroids.

@article{Thompson1999ModellingTI,
  title={Modelling the internalization of labelled cells in tumour spheroids.},
  author={Karen E. Thompson and Helen M. Byrne},
  journal={Bulletin of mathematical biology},
  year={1999},
  volume={61 4},
  pages={601-23}
}
In this paper a mathematical model is developed to describe the migration of labelled particles within a multicell spheroid. In the model, spatial variations in cell proliferation and death create an internal velocity field which leads to redistribution of the labelled and unlabelled cells. By applying a range of numerical and analytical techniques to the model equations, it is possible to show that, whilst the speed with which the labelled cells migrate through the tumour is independent of the… CONTINUE READING