Reaction-diffusion approach to modeling of the spread of early tumors along linear or tubular structures.

@article{MarciniakCzochra2007ReactiondiffusionAT,
  title={Reaction-diffusion approach to modeling of the spread of early tumors along linear or tubular structures.},
  author={Anna Marciniak-Czochra and Marek Kimmel},
  journal={Journal of theoretical biology},
  year={2007},
  volume={244 3},
  pages={375-87}
}
We consider a system composed of a tubular sheet of early tumor cells, occupying the surface of a structure existing in the organism. We assume that the cells have a potential for proliferation in response to a growth factor. This model can be thought of as representing an early stage (pre-in situ) of tumor evolution. A biomedical example of such process might be the atypical adenomatous hyperplasia in the lung. Destabilization of the equilibrium in such system represents initial invasion of… CONTINUE READING