A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies.

@article{Plank2003ARR,
  title={A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies.},
  author={Michael J. Plank and Brian D. Sleeman},
  journal={Mathematical medicine and biology : a journal of the IMA},
  year={2003},
  volume={20 2},
  pages={135-81}
}
It is now well accepted that the growth of a tumour beyond approximately 2 mm in diameter is dependent on its ability to induce the growth of new blood vessels, a process called angiogenesis. This has raised hope that an anti-angiogenic treatment may be effective in the fight against cancer. Here we formulate, using the theory of reinforced random walks, an individual cell-based mathematical model of tumour angiogenesis in response to a diffusible angiogenic factor. The early stages of… CONTINUE READING