Advanced Physics for Brachytherapy 2018

1. I need to be efficient

Equation for the transport of scerma generated at each point along a transport line



S { Δr [1 exp( 1sc,1 1 b − − −

b

Δr )}





1

B

D D D 0 1sc1 1sc0 1 1sc1 1 = + = + → →



b

b

Δr1





D D D 1sc2 1sc1 2 1sc2 2 S ρ [1 exp( 1sc,1 1 B = + = → →  b r



S

)][1 exp( − −  − −  b r

{ Δr [1 exp( b − − − b

2)]

Δr )}

1sc,2





1





2



2

B

+



b

b r 

b

b

ρ

Δr

2





2





2

D31scD

D3 21scD311sc

... 331sc

=→ +→ +→ =

i

1 − 

S ρ [1 exp( 1sc,i-1 i-1

B

b r − − 

b r − − 

)][1 exp(

)]

i

i





b −

1



D D 1sc i = 

+

D

=

+



1sc 1 i

1sc − → → i i i

b

ρ

Δr

i





i

i

1



S { 1sc,i

b r

[1 exp(  − − −  b r

)]}

i

i





B

+



b

b ri 



