Table 1.

Dynamic dose computation with Monte-Carlo (MC) and pencil-beam (PB) algorithm for the example of patient ids 2 and 3. The nominal scenario (index “n”) and layered repainting (N_Rep = 5) have been considered. Resulting values and standard deviations are presented.

Patient id 2
		PBn	MCn	${\mathrm{PB}}_{{\mathrm{LR}}_5}$	${\mathrm{MC}}_{{\mathrm{LR}}_5}$
CTV	HI [%]	10.8 ± 1.5	11.1 ± 1.5	7.3 ± 1.5	7.1 ± 1.1
	V107/95 [%]	8.6 ± 3.7	8.9 ± 3.4	2.3 ± 2.0	2.0 ± 1.8
OAR	$\overline{D_{\mathrm{L}}}[{\mathrm{Gy}}_{\mathrm{RBE}}]$	13.8 ± 0.1	13.8 ± 0.1	13.8 ± 0.1	13.8 ± 0.1
	${{\mathrm{V}}_{42\mathrm{Gy}}}_{\mathrm{RBE}}$ [%]	17.4 ± 0.2	17.2 ± 0.2	17.4 ± 0.1	17.3 ± 0.1
	${{\mathrm{V}}_{33\mathrm{Gy}}}_{\mathrm{RBE}}$ [%]	20.8 ± 0.1	20.7 ± 0.2	20.9 ± 0.1	20.8 ± 0.1
	${\mathrm{V}}_{<15{\mathrm{Gy}}_{\mathrm{RBE}}}$[cm3]	796.8 ± 2.5	795.8 ± 2.5	797.2 ± 1.6	795.6 ± 1.7

Patient id 3
		PBn	MCn	${\mathrm{PB}}_{{\mathrm{LR}}_5}$	${\mathrm{PB}}_{{\mathrm{LR}}_5}$
CTV	HI [%]	8.69 ± 1.18	8.70 ± 0.95	5.28 ± 0.59	5.05 ± 0.57
	OU [%]	4.22 ± 2.01	4.47 ± 1.80	0.34 ± 0.30	0.35 ± 0.37
OAR	$\overline{D_{\mathrm{L}}}[{\mathrm{Gy}}_{\mathrm{RBE}}]$	19.82 ± 0.05	19.96 ± 0.06	19.82 ± 0.02	19.96 ± 0.02
	${{\mathrm{V}}_{42\mathrm{Gy}}}_{\mathrm{RBE}}$ [%]	25.41 ± 0.08	25.43 ± 0.09	25.39 ± 0.04	25.43 ± 0.05
	${{\mathrm{V}}_{33\mathrm{Gy}}}_{\mathrm{RBE}}$ [%]	29.46 ± 0.08	29.54 ± 0.09	29.44 ± 0.25	29.55 ± 0.05
	${\mathrm{V}}_{<15{\mathrm{Gy}}_{\mathrm{RBE}}}$[cm3]	567.36 ± 0.79	564.12 ± 0.81	566.94 ± 0.61	563.84 ± 0.66