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Introduction on Dose Optimisation
D = Ψ. A
Ψ
is for a single stepping source delivery system (afterloader) the
Source
Propagation Function
A
is the energy absorption per unit mass (dose) and unit energy fluence
Operator or the
Energy Absorption Operator
The Mapping process or The
Dose Operator
:
K
S
rD rA
)(
)(
=
{ } { }
∑
=
−
=
= Ψ
ASDPs
N
i
i
i ik
r r tS
t rF r
1
,
)
(
) , (
)(
δ
With N
ASDPs
the total number of active source dwell positions at positions r
i
and
dwell times t
i
.
∑
=
−
=
ASDPs
N
i
i
i iK
r rAt S
rD
1
,
)
(
)(
dv r rAr
rD
´)
( )´(
)(
−
Ψ=
∫
+∞
∞−
or