Nonlinear diffusion of a growth inhibitory factor in multicell spheroids
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M A Chaplain1, D L Benson, P K Maini
1School of Mathematical Sciences, University of Bath, United Kingdom.
Mathematical Biosciences
|May 1, 1994
Abstract:
A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data.