A. The MHR Model
The MHR model system is defined as follows:
dH0 dt = −αRH0+ r(H1) dH1 dt = αRH0− αRH1− r(H1) − ceH1+ r(H2) . . . dHi−1
dt = αRHi−2− αRHi−1− r(Hi−1) − ceHi−1+ r(Hi) dHi
dt = αRHi−1− αRHi− r(Hi) − ceHi+ r(Hi+1) dHi+1
dt = αRHi− αRHi+1− r(Hi+1) − ceHi+1+ r(Hi+2) . . . dHK dt = αRHK−1− r(HK) − ceHK dΓ dt = R − γΓ dΥ dt = −k1Υ + k2Λ dΛ dt = k1Υ − k2Λ r(Hi) = crexp (−µΓΓ − µΛΛ)Hi k1 = a · 10−3exp Ea ¯ R(273.16 + 37) − Ea ¯ R(273.16 + T ) ¯
R is the gas constant, Ea= 1528 kJ·mol−1 is the activation energy, T (t) is the temperature
in°C, and R(t) is the dose rate of radiation administered.
B. Supplementary Figures σ =0.03 σ =0.035 σ =0.04 σ =0.045 σ =0.05 0.2 0.4 0.6 0.1 0.2 0.3 0.4 0.1 0.2 0.3 0.1 0.2 0.05 0.10 0.15 0.20 0 50 100 150 Parameter range Frequency
Figure S1: Histograms for α after minimizing cometwith different values for σ. For σ > 0.03,
most values of α exceed the lower boundary of 0.17 Gy−1 stipulated by Eq. 9. The calibrations for these plots were done with a lower bound of αmin= 0 Gy−1
in order to demonstrate this issue.
a k2 µΛ 0.0 0.5 1.0 1.5 2.0 0.000 0.025 0.050 0.075 0.100 1 2 3 4 5 0 20 40 60 0 20 40 0 20 40 60 Parameter Frequency
Figure S2: Histograms for a, k2 and µΛ after calibration in clonogenic-mode. The
param-eters cover the search space almmost uniformly, suggesting that ambiguities in these parameters remain.
