Tumor growth instability and the onset of invasion.

@article{Castro2005TumorGI,
  title={Tumor growth instability and the onset of invasion.},
  author={Mario Canadas Castro and Carmen Molina-Par{\'i}s and Thomas S. Deisboeck},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={72 4 Pt 1},
  pages={041907}
}
Motivated by experimental observations, we develop a mathematical model of chemotactically directed tumor growth. We present an analytical study of the model as well as a numerical one. The mathematical analysis shows that: (i) tumor cell proliferation by itself cannot generate the invasive branching behavior observed experimentally, (ii) heterotype chemotaxis provides an instability mechanism that leads to the onset of tumor invasion, and (iii) homotype chemotaxis does not provide such an… CONTINUE READING