Physiological random processes in precision cancer therapy
Fig 4
Tumor growth under uncertainty.
A simulation of Gompertzian growth of the spatial random field n(r, t), as modeled in Eq (9) with c(r, t)≡0, is displayed on the left. In this simulation, both the local growth constant μ(r) and the local carrying capacity nmax(r) are spatially constant but random; the initial condition n(r, 0) is taken as a so-called lumpy background random process (see S2 Appendix). Three realizations (rows) are shown at three times. The total cell number N(t) as defined in (6) is shown on the right for 16 realizations of the process.