100
A
10-1
10-2
10 keV
10-3
10-4
10-5
100
100% labeled
B
50% labeled
10% labeled
1% labeled
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
10-1
10-2
10-3
Surviving fraction of labeled cells
Supplement B Figure 1. Effect of electron
energy and fraction of cells labeled on the shape
of the survival curve for the labeled cell
population when monoenergetic electron emitters
are uniformly distributed among the labeled
cells: (A) 10 keV, (B) 30 keV, (C) 100 keV,
(D) 300 keV, (E) 1000 keV. Panels A, C, and E
are reproduced in Figure 1. The surviving fraction
of labeled cells is plotted as a function of mean
absorbed dose to the labeled cell nuclei when
either 100%, 50%, 10%, or 1% of the cells are
labeled. The red and blue dashed lines represent
exponential survival curves with D37 = D37,self =
1.2 Gy and D37 = D37,cross = 4.0 Gy, respectively,
the values used for these parameters in this
figure. At very low energies (10 keV, Panel A),
where the cross-dose to the nucleus is negligible,
all curves expectantly follow that for D37 = D37,self =
1.2 Gy. As the electron energy increases, the
cross-dose increases in proportion to the selfdose, and the curves move toward the dotted
blue line corresponding to D37 = D37,cross = 4.0 Gy.
However, when only a small percentage (1% and
10%) of the cells are labeled, the self-dose
continues to play a key role in determining the
surviving fraction of the labeled cells even when
the electron energy increases to 1000 keV. This
figure highlights the importance that the
percentage of labeled cells has on the shape of
the labeled cell survival curves.
30 keV
10-4
10-5
100
C
10-1
10-2
100 keV
10-3
10-4
10-5
100
D
10-1
10-2
300 keV
10-3
10-4
10-5
100
E
10-1
10-2
1000 keV
10-3
10-4
10-5
0
20
40
60
80
Mean absorbed dose to labeled cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 1 of 6
MEDICAL PHYSICS
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy
100
50% labeled
A
10% labeled
1% labeled
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
10-1
10-2
10-3
10 keV
10-4
10-5
100
B
10-1
10-2
30 keV
10-3
Surviving fraction of unlabeled cells
Supplement B Figure 2. Effect of electron
energy and fraction of cells labeled on the shape
of the survival curve for the unlabeled cell
population
when
monoenergetic
electron
emitters are uniformly distributed among the
labeled cells: (A) 10 keV, (B) 30 keV, (C) 100
keV, (D) 300 keV, (E) 1000 keV. Panels A, C,
and E are reproduced in Figure 2. The surviving
fraction of unlabeled cells is plotted as a
function of mean absorbed dose to the
unlabeled cell nuclei when either 100%, 50%,
10%, or 1% of the cells are labeled. The red and
blue dashed lines represent exponential survival
curves with D37 = D37,self = 1.2 Gy and D37 =
D37,cross = 4.0 Gy, respectively, the values used
for these parameters in this figure. At very low
energies (10 keV, Panel A), where the crossdose to the nuclei of the unlabeled cells is
negligible and therefore there is no killing of
unlabeled cells. Cross-dose to the unlabeled
cells is significant at 30 keV (Panel B), and killing
of these cells depends on the percentage of cells
that are labeled. As the electron energy
increases, the impact of percent labeling on the
response of unlabeled cells diminishes, and the
curves move toward the dotted blue line
corresponding to D37 = D37,cross = 4.0 Gy. With the
exception of 30 keV electrons, this figure shows
that the response of the unlabeled cell
population is generally independent of the
percentage of labeled cells when the activity is
distributed uniformly among the labeled cells.
10-4
10-5
100
C
10-1
10-2
100 keV
10-3
10-4
10-5
100
D
10-1
10-2
300 keV
10-3
10-4
10-5
100
E
10-1
10-2
1000 keV
10-3
10-4
10-5
0
20
40
60
80
Mean absorbed dose to unlabeled cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 2 of 6
MEDICAL PHYSICS
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy
100
100% labeled
A
50% labeled
10% labeled
1% labeled
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
10-1
10-2
10-3
10 keV
10-4
10-5
100
B
10-1
Surviving fraction of mixed population of cells
Supplement B Figure 3. Effect of electron
energy and fraction of cells labeled on the shape
of the survival curve for the mixed cell population
(labeled + unlabeled) when monoenergetic
electron emitters are uniformly distributed
among the labeled cells: (A) 10 keV, (B) 30 keV,
(C) 100 keV, (D) 300 keV, (E) 1000 keV. Panel B
is reproduced in Figure 3. The surviving fraction
of the mixed cell population is plotted as a
function mean absorbed dose to all cell nuclei
when either 100%, 50%, 10%, or 1% of the cells
are labeled. The red and blue dashed lines
represent exponential survival curves with
D37=D37,self=1.2 Gy
and
D37=D37,cross=4.0 Gy,
respectively, the values used for these
parameters in this figure. At very low energies (10
keV, Panel A), where the cross-dose to the
nucleus is negligible, only the labeled cells are
killed so the surviving fraction for 50%, 10%, and
1% survival follow 1-flabeled. At 30 keV, the
response of the mixed cells population is highly
dependent on the percentage of cells that are
labeled (Panel B). As the electron energy
increases, the cross-dose increases in proportion
to the self-dose, and the curves move toward the
dotted blue line corresponding to D37=D37,cross=4.0
Gy. The response of the mixed population to 100
keV electrons continues to depend on percentage
labeled (Panel C). However, at 300 keV (Panel
D) and 1000 keV (Panel E), the response of the
mixed population of cells is relatively independent
of the percentage of labeled cells when the
radioactivity is uniformly distributed among the
labeled cells.
10-2
30 keV
10-3
10-4
10-5
100
C
10-1
10-2
100 keV
10-3
10-4
10-5
100
D
10-1
10-2
300 keV
10-3
10-4
10-5
100
E
10-1
10-2
1000 keV
10-3
10-4
10-5
0
20
40
60
80
Mean absorbed dose to all cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 3 of 6
MEDICAL PHYSICS
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy
Supplement B Figure 4. Combined effect of labeled fraction and of activity distribution on the cell survival-response of the labeled cells when
monoenergetic electron emitters are lognormally distributed among the labeled cells. The data for 10, 30, 100, 300, and 1000 keV electrons are
provided in panels: (A-E) 100% labeled, (F-J) 50% labeled, (K-O) 10% labeled, and (P-T) 1% labeled. The activity distribution is either uniform
(σ→0, solid black) or lognormal with shape parameters of σ = 0.6 (solid red), 1.0 (solid green), and 2.0 (solid yellow). The dashed red and blue lines
represent exponential survival curves with D37=D37,self=1.2 Gy and D37=D37,cross=4.0 Gy, respectively.
50% labeled
100% labeled
100
1% labeled
10% labeled
A
F
K
P
10-1
10-2
10 keV
10-3
10-4
10-5
100
B
G
L
Q
Surviving fraction of labeled cells
10-1
10-2
30 keV
10-3
10-4
10-5
100
H
C
R
M
10-1
10-2
100 keV
10-3
10-4
10-5
100
I
D
S
N
10-1
10-2
300 keV
10-3
10-4
10-5
100
Uniform ( = 0)
Lognormal ( = 0.6)
Lognormal ( = 1.0)
Lognormal ( = 2.0)
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
10-1
10-2
10-3
J
E
T
O
1000 keV
10-4
10-5
0
20
40
60
80
0
20
40
60
Mean absorbed dose to all cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 4 of 6
MEDICAL PHYSICS
80
0
20
40
60
80
0
20
40
60
80
Mean absorbed dose to all cell nuclei (Gy)
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy
Supplement B Figure 5. Combined effect of labeled fraction and of activity distribution on the cell survival-response of unlabeled cells when
monoenergetic electron emitters are lognormally distributed among the labeled cells. The data for 10, 30, 100, 300, and 1000 keV electrons are
provided in panels: (A-E) no data provided because 100% are labeled, (F-J) 50% labeled, (K-O) 10% labeled, and (P-T) 1% labeled. The activity
distribution is either uniform (σ→0, solid black) or lognormal with shape parameters of σ = 0.6 (solid red), 1.0 (solid green), and 2.0 (solid yellow).
The dashed red and blue lines represent exponential survival curves with D37=D37,self=1.2 Gy and D37=D37,cross=4.0 Gy, respectively.
50% labeled
100% labeled
100
1% labeled
10% labeled
A
F
K
P
10-1
10-2
10 keV
10-3
10-4
10-5
100
B
G
L
Q
Surviving fraction of unlabeled cells
10-1
10-2
30 keV
10-3
10-4
10-5
100
H
C
R
M
10-1
10-2
100 keV
10-3
10-4
10-5
100
I
D
S
N
10-1
10-2
300 keV
10-3
10-4
10-5
100
J
E
T
O
10-1
10-2
1000 keV
10-3
10-4
10-5
0
20
40
60
80
0
20
40
60
Mean absorbed dose to all cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 5 of 6
MEDICAL PHYSICS
80
0
20
40
60
80
0
20
40
60
80
Mean absorbed dose to all cell nuclei (Gy)
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy
Supplement B Figure 6. Combined effect of labeled fraction and of activity distribution on the cell survival-response of a mixed population of cells
(labeled and unlabeled) when monoenergetic electron emitters are lognormally distributed among the labeled cells. The data for 10, 30, 100, 300,
and 1000 keV electrons are provided in panels: (A-E) 100% labeled, (F-J) 50% labeled, (K-O) 10% labeled, and (P-T) 1% labeled. The activity
distribution is either uniform (σ→0, solid black) or lognormal with shape parameters of σ = 0.6 (solid red), 1.0 (solid green), and 2.0 (solid yellow).
The dashed red and blue lines represent exponential survival curves with D37=D37,self=1.2 Gy and D37=D37,cross=4.0 Gy, respectively.
50% labeled
100% labeled
100
1% labeled
10% labeled
A
K
F
P
10-1
10-2
10 keV
10-3
Surviving fraction of mixed population of cells
10-4
10-5
100
B
L
G
Q
10-1
10-2
30 keV
10-3
10-4
10-5
100
H
C
R
M
10-1
10-2
100 keV
10-3
10-4
10-5
100
I
D
S
N
10-1
10-2
300 keV
10-3
10-4
10-5
100
Uniform ( = 0)
Lognormal ( = 0.6)
Lognormal ( = 1.0)
Lognormal ( = 2.0)
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
10-1
10-2
10-3
J
E
Uniform ( = 0)
Lognormal ( = 0.6)
Lognormal ( = 1.0)
Lognormal ( = 2.0)
Exp. (D37 = 1.2 Gy)
Exp. (D37 = 4.0 Gy)
T
O
1000 keV
10-4
10-5
0
20
40
60
80
0
20
40
60
Mean absorbed dose to all cell nuclei (Gy)
- Vol. - No. - Month Year
Supplement B, Page 6 of 6
MEDICAL PHYSICS
80
0
20
40
60
80
0
20
40
60
80
Mean absorbed dose to all cell nuclei (Gy)
TARGETED & NON-TARGETED CELLS – Rajon et al.
Figures for D37,self = 1.2 Gy, D37,cross = 4.0 Gy