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

@article{Byrne1995GrowthON,
title={Growth of nonnecrotic tumors in the presence and absence of inhibitors.},
author={H M Byrne and Mark A. J. Chaplain},
journal={Mathematical biosciences},
year={1995},
volume={130 2},
pages={151-81}
}

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 ofâ€¦Â CONTINUE READING