Biomedical Engineering Reference
In-Depth Information
Fig. 17.1
Distribution of
secondaries incident on a
nucleosome in the vicinity
of the ion's track
100
80
60
40
20
0
0
5
10
15
20
r(nm)
Fig. 17.2
Radial distribution
of clusters of three lesions
depending on different values
of . Color map from dark to
light: P.3/ < 0:05,
0:05 < P .3/ < 0:10,
0:10 < P .3/ < 0:15,
0:15 < P .3/ < 0:20,
0:20 < P .3/ < 0:25,
and P.3/ > 0:25
The next step is multiplying the number of agents N
a
.r/ by the probability
of inducing a lesion to obtain N.r/. Then we can apply (
17.1
) and obtain the
distribution of probability of observing of clustered damage of a given degree. The
results for different values of are plotted in Fig.
17.2
. The shape can be explained
by the properties of the Poisson distribution. A similar calculation can be done for
any degree of complexity .IfFig.
17.3
the distributions of clusters of two and
clusters of three lesions are compared for
0:02.
These distributions can be compared with the nano-dosimetric data [
12
]and
the cell-survival dependences on the radius. Such comparisons may clarify the
D
