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1. I need to be efficient

Δr

1

1

2

Δr

Δr

2

2

D

[1 exp(

)]

1sc2 2

0

0

D1sc2 2

Δr

Δr

2

2

S { Δr [1 exp(

Δr )}

1sc,2

2

2

Δr2

dr

b r dr

b

b

B

b

b

− −

=

=

=



− −

θ

Averaging

dose over all points

along Δr2

in

voxel 2 :

Δr

2

Equations for the transport of scerma

generated at each point along a

transport line

Under the collapsed cone approximation:

Scerma does not vary with θ within ΔΩ

(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)