Figure A6.

(a) The RS model reproduces the outer radius (dark green) for the FaDu cell line with 20 Gy radiation, experimental data from Chen et al. [18] (black crosses) as effectively as the model proposed along with the data (light green dashed). We used the parameters calibrated for untreated growth, only fitted the probabilities of mitotic catastrophe $P_{\mathrm{mc}}^1$, $P_{\mathrm{mc}}^2$, and adopted the radiosensitivities ${\alpha }_{\mathrm{RT}}$ and ${\beta }_{\mathrm{RT}}$ from the ranges observed in Chen et al. [17] and Xu et al. [59]. Note that no necrotic core is expected for this regime (experimental estimate shown as gray crosses), which is reproduced by the RS model (red). The used parameters can be found in Table 1 and Table 2. (c) Volumes corresponding to the radii are displayed in (a) in a semi-log plot. Multiples of 2 and 5 of the starting volume $V_{\mathrm{t}=0}$ are highlighted with horizontal gray dashed and gray dotted lines, respectively. Additionally, the RS model predicts the cell concentration over the radius at any time point. Examples show the cell distribution for (b) the first time point $t=0$ d and (d) the last day $t=33$ d of the experiment. Displayed are the cell concentrations of proliferation competent cells $c_p$ (green solid) and membrane-defect cells $c_n$ (red solid), the total concentration of cells (black dotted), and the oxygen profile (blue solid, right y axis). The marker at the bottom of the panels (b,c) indicates the necrotic and outer radius estimated from the model (red and green crosses) and from the actual experimental data (gray and black arrows), respectively.