2
4
6
8
10
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
Dose (Gy)
RBE
(
/
)
x
= 2 Gy
2
4
6
8
10
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
Dose (Gy)
RBE
(
/
)
x
= 15 Gy
McNamara AL, Schuemann J, Paganetti H.: A phenomenological relative biological effectiveness (RBE) model for proton therapy
based on all published in vitro cell survival data. Phys Med Biol; 2015
RBE models
0
5 10 15 20 25 30
0.8
1
1.2
1.4
1.6
1.8
(
/
)
x
(Gy)
RBE
LET
d
= 1.31 keV/
m Our Model
Carabe et al.
Wedenberg et al.
Liu et al.
0
5 10 15 20 25 30
0.8
1
1.2
1.4
1.6
1.8
(
/
)
x
(Gy)
RBE
LET
d
= 2 keV/
m
0
5 10 15 20 25 30
0.8
1
1.2
1.4
1.6
1.8
(
/
)
x
(Gy)
RBE
LET
d
= 5 keV/
m
D = 2Gy
LET
d
= 2.5 keV/
m
0
5
10
15
20
1
2
3
4
LET
d
(keV/
m)
RBE
(
/
)
x
= 1.22 Gy
0
5
10
15
20
1
2
3
4
LET
d
(keV/
m)
RBE
(
/
)
x
= 3 Gy
0
5
10
15
20
1
2
3
4
LET
d
(keV/
m)
RBE
(
/
)
x
= 10 Gy