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Equations for the transport of scerma

1. I need to be efficient

∆r

generated at each point along a

transport line

1

∆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

Averaging

scerma from voxel 2, over points

ithi Δ 2

i

l 2

within the same voxel (scerma does not

vary considerably within voxels)

2Δr

)]

exp(

1[

1sc,2 S

2Δr

2 21scD

dr rb

b

B

dr

 



w n r

n voxe :

)}2Δr

exp(

1[ 2Δr {

1 2 S

2Δr

0

2Δr

0

2 21scD

b

b B

 





2Δr

2

sc,

b