A mathematical model for the production and secretion of tumour angiogenesis factor in tumours.

@article{Chaplain1990AMM,
  title={A mathematical model for the production and secretion of tumour angiogenesis factor in tumours.},
  author={Mark A. J. Chaplain and Brian D. Sleeman},
  journal={IMA journal of mathematics applied in medicine and biology},
  year={1990},
  volume={7 2},
  pages={93-108}
}
Solid tumour growth was hypothesized by Folkman (1976) to take place in two phases: the avascular phase and the vascular phase. In the first (avascular) phase, the tumour obtains its nutrients and disposes of its metabolic wastes by diffusion transport processes alone. Since the mechanism for growth is diffusion-limited, these tumours cannot expand indefinitely, but grow to a dormant state in which they have ceased expanding. The second (vascular) phase involves the eliciting of new blood… CONTINUE READING

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