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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

θ

Under the collapsed cone approximation:

Scerma does not vary with θ within ΔΩ

1

2

(Bθ, bθ constant along transport line)

and scerma generated, emitted and

absorbed along transport line

r

and assuming:

Scerma generated per unit r is constant

Dose

from

points along Δr1 in voxel 1,

to

voxel 2 :

within the same voxel (scerma does not

vary considerably within voxels)

)

exp(

1sc,1 S

ρ2

ρ1

211scD

dr d

r

rb

B









1

dr )'

exp(

1sc,1 S

ρ2

ρ1

r r

r

rb

B





)]1

exp(

1)[

exp(

1sc,1 S

ρ2

ρ1

r b

rb

b

B

  

