Growth of nonnecrotic tumors in the presence and absence of inhibitors.

  title={Growth of nonnecrotic tumors in the presence and absence of inhibitors.},
  author={H M Byrne and Mark A. J. Chaplain},
  journal={Mathematical biosciences},
  volume={130 2},
In this article a model for the evolution of a spherically symmetric, nonnecrotic tumor is presented. The effects of nutrients and inhibitors on the existence and stability of time-independent solutions are studied. With a single nutrient and no inhibitors present, the trivial solution, which corresponds to a state in which no tumor is present, persists for all parameter values, whereas the nontrivial solution, which corresponds to a tumor of finite size, exists for only a prescribed range of… CONTINUE READING
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Mathematical models for the growth of solid tumours and the tip morphogenesis of Acetabularia

  • M.A.J. Chaplain
  • Ph.D. Thesis, University of Dundee
  • 1990
Highly Influential
4 Excerpts

A simpli ed mathematical model of tumour growth,Math

  • J. A. Adam
  • 1986
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14 Excerpts

Apoptosis as a volume loss mechanism in mathe- matical models of solid tumour growth

  • D.L.S. McElwain, L. E. Morris
  • Math. Biosci. 39:147-157
  • 1978
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  • S. A. Maggelakis, J. A. Adam
  • Math. Comput. Modelling 13:23-38
  • 1990
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  • J. A. Adam
  • II. E ects of geometry and spatial uniformity on…
  • 1987
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  • D. W. Jordan, P. Smith
  • Clarendon Press, Oxford
  • 1977
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