The role of cell-cell interactions in a two-phase model for avascular tumour growth.

@article{Breward2002TheRO,
  title={The role of cell-cell interactions in a two-phase model for avascular tumour growth.},
  author={C. J. W. Breward and Helen M. Byrne and Claire E. Lewis},
  journal={Journal of mathematical biology},
  year={2002},
  volume={45 2},
  pages={125-52}
}
A two-phase model is presented to describe avascular tumour growth. Conservation of mass equations, including oxygen-dependent cell growth and death terms, are coupled with equations of momentum conservation. The cellular phase behaves as a viscous liquid, while the viscosity of the extracellular water manifests itself as an interphase drag. It is assumed that the cells become mechanically stressed if they are too densely packed and that the tumour will try to increase its volume in order to… CONTINUE READING
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