Table 4.

Model sensitivity test on the variations of model parameter values (±20% of variations, except for f_s and k_b) for 10 cc tumour with a GF of 0.2, T_D of 60 days, and fraction size of 2 Gy fx⁻¹ (significant change when larger than 5% was shaded).

Parameter values		TCD50 (Gy)	Full- reoxygenation time (day)	Extra dose for longer schedule (Gy/day)
Defaulta		64	20.6	0.772
Tumour parameters
ρ t	8×105 mm−3	64	20.6	0.773
	1.2×106 mm−3	64	20.6	0.769
vt	51.2 mm3	64	20.6	0.773
	76.8 mm3	64	20.6	0.769
fs	0.004b	60(−6%)	20.6	0.773
	0.025b	68 (6%)	20.6	0.767
TC	1.6 days	76(+19%)	16.3 (−21%)	0.935 (+21%)
	2.4 days	60 (−6%)	25.0 (+21%)	0.650 (−16%)
Compartment parameters
$f_{\text{pro}}^P$	0.4	64	14.3(−31%)	0.775
	0.6	66 (+3%)	26.9 (+31%)	0.770
T 1/2, loss	1.6 days	64	21.3 (+3%)	0.780 (+1%)
	2.4 days	64	20.0 (−3%)	0.775
km	0.24	66 (+3%)	16.5(−20%)	0.773
	0.36	64	28.0 (+36%)	0.752 (−3%)
Radiosensitivity parameters
α P	0.33 Gy−1	84(+31%)	21.5 (+4%)	0.905(+17%)
	0.49 Gy−1	54 (−16%)	20.1 (−2%)	0.668 (−13%)
β P	0.0461 Gy−2	68 (6%)	20.8 (+1%)	0.787 (+2%)
	0.0691 Gy−2	60 (−6%)	20.4 (−1%)	0.758 (−2%)
OERI	1.6	58 (−9%)	20.4 (−1%)	0.772
	2.4	68 (+6%)	20.8 (+1%)	0.769
OERH	1.10	64	20.6	0.772
	1.64	64	20.6	0.772
Change of blood supply
kb c	−10%/wk	64	35.6(+73%)	n/ad
	+10%/wk	64	16.3 (−21%)	0.770

^aDefault parameter values: ρ_t = 10⁶ mm⁻³, v_t = 64 mm³, f_s = 0.01, T_C = 2 days, $f_{\text{pro}}^P$ = 0.5, T_{1/2, loss} = 2 days, k_m = 0.3, α_P = 0.382 Gy⁻¹, β_P = 0.0576 Gy⁻², OER_I = 2.0, and OER_H = 1.37.

^b±20% variations in log scale were tested.

^cEither linear increase or decrease of 10% per week was tested (±10%/wk).

^dDue to the assumption, simulation for more than 10 weeks (70 days) was not possible.