All the plans were evaluated based on the RTOG 0933 protocol criteria (table2) and found acceptable. Additionally, the homogeneity of the PTV boost is 0.07 ±0.01,0.1 ±0.04, and 0.08 ±0.02 for IMRT, VMAT, and HT, respectively, (table 5) and the comparison between the plans is statistically significant (P<0.05). The percentage of volume covered by 30Gy dose to PTV whole brain were 92.5±1.62, 92.04±1.85, and 91.68±1.87, respectively, and the difference between the plan was not statistically significant. The parameters of PTV boost and PTV whole brain are mentioned in table4. The PTV boost and PTV whole brain dose coverage for all three plans for patient number 3 are shown in figure 1.
The dose to the 100% of volume (D100%) received by both left and right-side hippocampi has been displayed in figure 2, and it shows that HT plans received fewer doses compare to IMRT and VMAT plans. D100% of all three plans are adhered to the RTOG protocol values mentioned in table 2.
Table 3: Dosimetric and radiobiological equations for the plan comparison
Name
|
equations
|
Parameters required
|
References
|
Conformity index
|
{1}
|
PD = prescription dose to the PTV. PTV Vol = total PTV volume.
|
[11]
|
Homogeneity index
|
{2}
|
D98%= dose received by 98% of PTV. D2%= dose received by 2% of PTV. D50%= dose received by 50% of PTV.
|
Coverage Index
|
{3}
|
Dmin = minimum dose received by PTV. PD = prescription dose received by PTV.
|
Equivalent Uniform Dose (EUD)
|
{4}
|
EQDi = dose delivered to a sub volume Vi. a = unitless model parameter.
|
[12, 13]
|
{5}
|
Di = total dose received by the bin. nf = total number of fractions. α/β = parameters of the linear-quadratic model.
|
Niemierko’s EUD model
|
{6}
|
γ50= a unit less model parameter describing the dose-response curve’s slope. TCD50=tolerance dose needed for controlling 50% of the tumour (if irradiated uniformly).
|
[13,14]
|
Lyman–Kutcher–Burman (LKB) model
|
{7}
|
TD50 = tolerance dose to produce 50% of complication of OARs (if uniformly irradiated). Vi = volume in a specific dose bin i. Di = dose given to each bin. m = dimensionless parameter for determining the slope of complication probability versus dose curve. n = volume dependence of the complication’s probability.
|
[15,16,17]
|
|
{8}
|
Table 4: Parameters used for NTCP calculations [18,19]
Organ
|
n
|
m
|
TD50 (Gy)
|
α/β
|
End point
|
Brain Stem
|
0.16
|
0.14
|
65
|
3
|
Necrosis
|
Lens*
|
0.3
|
0.27
|
18
|
1.2
|
Blindness
|
Eye*
|
0.2
|
0.19
|
65
|
3
|
Blindness
|
Optic nerve*
|
0.25
|
0.14
|
65
|
3
|
Blindness
|
Parotid*
|
0.7
|
0.18
|
28.4
|
3
|
Xerostomia
|
Hippocampus*
|
0.25
|
0.15
|
48
|
2
|
NCF decline
|
* Both left and right side.
NCF= neurocognitive function.
Table 5 Dosimetric comparison of planning target volume
|
|
IMRT(i)
|
VMAT(j)
|
HT(K)
|
P -Value
|
|
Parameters
|
Mean
|
SD
|
Mean
|
SD
|
Mean
|
SD
|
I vs j
|
I vs k
|
j vs k
|
PTV boost
|
Dmax (Gy)
|
39.32
|
0.92
|
39.20
|
1.22
|
39.81
|
0.86
|
0.73
|
0.08
|
0.07
|
Dmean (Gy)
|
37.78
|
0.71
|
36.61
|
0.54
|
37.75
|
0.39
|
0.00
|
0.85
|
0.00
|
HI
|
0.07
|
0.01
|
0.10
|
0.04
|
0.08
|
0.02
|
0.00
|
0.02
|
0.02
|
CI
|
1.00
|
0.00
|
0.99
|
0.02
|
1.00
|
0.01
|
0.10
|
0.58
|
0.10
|
Cov I
|
0.95
|
0.10
|
0.95
|
0.11
|
0.93
|
0.11
|
0.88
|
0.36
|
0.37
|
|
|
|
|
|
|
|
|
|
|
|
PTV whole brain
|
D30Gy (%)
|
92.50
|
1.62
|
92.04
|
1.85
|
91.68
|
1.87
|
0.31
|
0.17
|
0.46
|
D2% (Gy)
|
34.23
|
0.82
|
34.97
|
0.62
|
33.83
|
0.53
|
0.00
|
0.08
|
0.00
|
D98% (Gy)
|
26.38
|
1.08
|
26.63
|
0.72
|
26.28
|
0.68
|
0.35
|
0.74
|
0.04
|
HI
|
0.25
|
0.04
|
0.26
|
0.03
|
0.24
|
0.03
|
0.31
|
0.69
|
0.02
|
CI
|
0.96
|
0.01
|
0.96
|
0.01
|
0.96
|
0.01
|
0.59
|
0.13
|
0.30
|
Cov I
|
0.47
|
0.08
|
0.47
|
0.05
|
0.45
|
0.13
|
0.81
|
0.00
|
0.64
|
V90% (%)
|
97.42
|
0.90
|
97.70
|
0.59
|
97.64
|
0.33
|
0.36
|
0.23
|
0.59
|
IMRT=Intensity modulated radiotherapy, VMAT=Volumetric modulated arc therapy, HT=Helical tomotherapy, PTV=Planning target volume, Dmax=maximum dose to the PTV, Dmin=minimum dose to the PTV, Dmean=mean dose to the PTV, CI=Conformity Index, HI=Homogeneity index, Cov I=Coverage Index, V90%= 90% of dose covered by the percentage of PTV volume, D2%=Dose received by 2 percentage of volume, and D98%=Dose received by 98 percentage of volume.
Table 6 Equivalent uniform dose for organ at risk
Name
|
IMRT(q)
|
VMAT(r)
|
HT(s)
|
|
P -Value
|
Mean
|
SD
|
Mean
|
SD
|
Mean
|
SD
|
q Vs r
|
q Vs s
|
r Vs s
|
Parotid Rt
|
8.90
|
2.96
|
9.27
|
3.34
|
4.34
|
0.82
|
0.18
|
0.00
|
0.00
|
Parotid Lt
|
8.69
|
2.52
|
8.66
|
3.25
|
4.17
|
0.77
|
0.94
|
0.00
|
0.00
|
Total Hippocampal
|
8.09
|
0.63
|
8.73
|
0.58
|
8.22
|
0.78
|
0.00
|
0.40
|
0.00
|
Brain Stem
|
38.94
|
1.96
|
37.36
|
3.47
|
38.70
|
1.81
|
0.04
|
0.67
|
0.02
|
Spinal cord
|
30.66
|
7.79
|
28.27
|
8.59
|
28.95
|
8.32
|
0.02
|
0.08
|
0.30
|
IMRT=Intensity modulated radiotherapy, VMAT=Volumetric modulated arc therapy, HT=Helical tomotherapy.
The distance between the hippocampus is less than 1cm from the PTV boost, also more than three PTV boost volume patients, a total of eleven patients were separately analyzed for the maximum hippocampus dose (figure 3). Four patients had a higher maximum hippocampus dose when the distance was less between the PTV boost and the hippocampus compared with IMRT and VMAT plans.
The equivalent uniform dose (EUD) of the OARs like parotid, hippocampus, brain stem, and spinal cord are mentioned in table 6. The mean parotid dose of the left and right side, brain stem, and spinal cord are less for HT plans as compared to IMRT and VMAT plans. The comparison between plans (IMRT versus HT) and (VMAT versus HT) is statistically significant (P < 0.05) for parotid. Also, the comparison between (IMRT versus VMAT) and (VMAT versus HT) is statistically significant (P < 0.05) for hippocampus and brainstem.
The comparison between equivalent uniform doses for optic structures like the eye, lens, optic chiasm, and optic nerve has been shown in figure 4. The HT plan doses for optic structures are less than IMRT and VMAT plans, except for optic chiasm. Also, the optic structures receive higher doses by the VMAT plan when compared to the IMRT plan, except for the eye.
Figure 5 shows the comparison of the equivalent uniform dose of hippocampal left and right sides. The average EUD of the right and left hippocampus were 8.01Gy ±0.65, 8.74Gy ±0.66, 8.31Gy ± 1.0, 18.14Gy ±0.59, 8.68Gy ±0.50, and 7.99Gy ±0.61for IMRT, VMAT, and HT plans, respectively. The mean dose for the left-sided hippocampus was higher in the HT plan compared to the IMRT and VMAT. Also, the left-sided hippocampal doses were higher for patient number 3 on all three planning proficiencies, 9.76Gy, 10.79Gy, and 12.28Gy for IMRT, VMAT, and HT, respectively. These doses were higher because the location of the PTV boost volume was within 5mm of the left hippocampus.
The TCP of the PTV boost were 99.99%±0.003, 99.98% ±0.004, and 99.99%±0.002 of IMRT, VMAT, and HT, respectively, and the comparison between IMRT versus VMAT and VMAT versus HT are statistically significant (P<0.005). Also, the TCP of PTV whole brain was 92.42%±11.86, 97.24% ±3.6, and 93.98%±3.8 for IMRT, VMAT, and HT, respectively, and the comparison between the plans is not statistically significant.
The NTCP of the OARs was evaluated with the LKB model, and found that the HT plans have lesser value compared to IMRT and VMAT plans, except for optic chiasm. The NTCP value of the left and right lenses were higher with the VMAT plan compared to IMRT and HT Plans. The hippocampal NTCP values are equal in all three planning proficiencies, and the NTCP value is higher for the brain stem and spinal cord in the IMRT plan when compared to VMAT and HT plans (Figure 6).