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Mathematical Description / Repair Function

External Beam RadioTherapy and HDR BrachyTherapy :

no repair during irradiation (min)

repair function

g = 1

2

T

1/2

4 6 8 Time [h]

. . .

2

T

1/2

4 6 8 Time [h]

. . .

(

)

− =

tn

sy ny

t

PDR g

2

1

2

(

)

2

1

2

1

t

nt

n

t

ke

e k enk k

nk

s

− +

+

−−

=

t

e

y

−=

1

21

T

2ln

=

x

e

k

=

… repair rate

T

1/2

half time for repair

t …

irradiation time

for each pulse

x …

time between pulses

without irradiation

n …

number of equal pulses

PDR BrachyTherapy :

repair between successive pulses (hours) and during the

whole fraction (hours - days) is significant