A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.
- Growth inhibitory factors
- Multicell spheroids
Chaplain, M. A. J., & Britton, N. F. (1993). On the concentration profile of a growth inhibitory factor in multicell spheroids. Mathematical Biosciences, 115(2), 233-245. https://doi.org/10.1016/0025-5564(93)90072-I