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Equations for the transport of scerma
1. I need to be efficient
generated at each point along a
transport line
∆r
2
Under the collapsed cone approximation:
•
Scerma does not vary with θ within ΔΩ
1
2
θ
(Bθ, bθ constant along transport line)
and scerma generated, emitted and
absorbed along transport line
and assuming:
•
Scerma generated per unit r is constant
within the same voxel (scerma does not
vary considerably within voxels)
Scerma
from
points along Δr2 in voxel 2,
to
voxel
2
'
)]'
(
exp[
1sc,2 S
ρ2
ρ2
2 21scD
dr d
r
r r b
B
:
∆r
2
r’
0
dr'
)]'
(
exp[
1sc,2 S
r
r r b
B
0≤r’≤r
0<r≤∆r
2
r
)]
exp(
1[
1sc,2 S
rb
b
B