Table 2 Summary of the LKB NTCP model parameters used in the study. TD50 is the value of the uniform dose given to the entire organ surface corresponding to the 50% probability to induce toxicity; m is inversely proportional to the slope of the dose–response curve; and n (or a) accounts for the volume effect.

From: Potential benefits of using radioactive ion beams for range margin reduction in carbon ion therapy

Organ

Model

Endpoint

n (or a*)

m

TD50, Gy

Optic nerve

Mayo51

Optic neuropathy

0.25

0.14

72

Healthy liver

Burman49

Liver failure

0.32

0.15

40

Dawson37

Radiation-induced liver injury (grade ≥ 3)

0.97

0.12

39.8

El Naqa I47

Changes in albumin-bilirubin (ALBI) and Child–Pugh (C-P) score

1

1.47

24.3

El Naqa II47

Liver enzymatic changes (grade > 3)

1

0.55

52.6

Pursley I48

Change in C-P score (grade ≥ 2)

0.06*

0.8

19

Pursley II48

Change in ALBI (grade ≥ 1)

0.5*

1.5

32