Table 5 Summary of the models for both BED doses calculated at isocenter and PTV edge; all fit parameter values are provided with standard errors (and 68 % CI). This table includes the maximum likelihood ratio tests for comparison between the corresponding LQ and LQ-L models with α/β = 10 Gy

LQ fixed α/β

CF + HF

α/β = 10

-

48.3 (23.8–62.4)*

44.7 (32.1–64.8)*

0.27 (0.1)

−4438.1

Isocenter, all data 4, 2223.8, 1, 3.42, 0.064

CF

α/β = 10

-

68.9 (50.7–74.4)*

20.5 (13.1–50.0)

0.84 (0.5)

−186.4

-

HF

α/β = 10

-

−60.2 (−189–3.2)

113.3 (73.4–190.1)*

−0.13 (−0.17)

−2625.2

Isocenter, HF 4, 1316.4, 1, 1.68, 0.195

LQ-L fixed α/β

CF + HF

α/β = 10

11 (8.4–16.7)*

44.7 (24.2–58.2)*

46.7 (35.1–63.2)*

0.24 (0.11)

−4439.6

HF

α/β = 10

9.8 (5.2–15.0)

1.0 (na–23.8)

71.4 (54.2–79.6)

0.0 (0.15)

−2624.8

LQ: free α/β, TCD50 and k

CF+ HF

3.9 (2.2–9.0)

-

17.8 (na–56.4)

130.9 (50.1–na)

0.0 (0.15)

−4441.6

CF

3.8 (na)

-

90.7 (na)*

19.7 (na)

1.15 (0.64)

−186.6

LQ fixed α/β

CF + HF

α/β = 10

-

28.0 (−0.7–43.1)

39.7 (28.1–60.5)*

0.18 (0.13)

−4430.1

PTV Edge, all data 4, 2218.3, 1, 0.614, 0.433

CF

α/β = 10

-

64.2 (48.6–69.3)*

19.5 (12.5–44.6)*

0.82 (0.47)

−186.6

HF

α/β = 10

-

−19.9 (−93.5–14.5)

64.4 (42.9–108.1)*

−0.08 (−0.16)

−2625.9

PTV Edge, HF 4, 1315.9, 1, 0.009, 0.925

LQ-L fixed α/β

CF + HF

α/β = 10

12.4 (8.3–na)

26.1 (na)

40.8 (na–60.2)

0.16 (0.13)

−4428.7

HF

α/β = 10

9.9 (5.5-na)

1 (na–18.0)

50.9 (40.0–55.3)

0 (0.15)

−2623.9

LQ: free α/β, TCD50 and k

CF+ HF

1.7 (1.3–4.1)

-

29.8 (na–68.2)

161.1 (60.4–na)

0.0 (0.13)

−4443.5

CF

4.1 (na)

-

81 (na)

20.4 (na)

0.99 (na)

−186