CONCLUSIONS
The time advantage should use AAA
algorithm to calculate the dose to improve
working efficiency. However, with tumors
located near the air sinus or close to the skin,
use the AXB algorithm to calculate the dose.
For thorax area, we will prioritize the use of
AXB algorithm to calculate the dose. This is
consistent with previously published studies of
W. S. Rh et al. [11] and L. Wang et al. [12].
However, the above conclusions are for
reference only, the use of algorithms must
depend on many factors such as location, size
of the tumor, the system of radiotherapy that
the facility equipped, . that medical physicists
will choose the most suitable algorithm.
ACKNOWLEDGEMENTS
We would like to thank oncologist and
medical physicists in the Department of
Radiation Oncology and Radiosurgery – 108
Military Central Hospital has facilitated and
provided suggestions for us to complete this
research. We would like to thank the support of
VINATOM : project CS/19/04-02.
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Nuclear Science and Technology, Vol.10, No. 3 (2020), pp. 31-40
©2020 Vietnam Atomic Energy Society and Vietnam Atomic Energy Institute
Comparison and evaluation for the dose distribution and
physical characteristics between two AAA and AXB algorithms
in Eclipse v13.6 software on treatment plans in regions
heterogenous densities at 108 Military Central Hospital
Hoang Huu Thai
1
, Nguyen Tien Đat1, Nguyen Thi Van Anh2, Pham Hong Lam3,
Bui Duy Linh
4
, Le Manh Duc
2
, Pham Quang Trung
2*
1
Hanoi University of Sciences and Technology, N°1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam.
2
Radiation Oncology and Radiosurgery Department, 108 Military Central Hospital,
N° 1 Tran Hung Dao, Hai Ba Trung, Hanoi, Vietnam.
3
Oncology Center, 103 Military Hospital, N° 261 Phung Hung, Phuc La, Ha Dong, Hanoi, Vietnam.
4
Institute for Nuclear Science and Technology,
N° 179 Hoang Quoc Viet, Nghia Do, Cau Giay, Hanoi, Vietnam.
*
Corresponding author, Email: qtphamhus@gmail.com.
(Received 05 November 2019, accepted 03 March 2020)
Abstract: The aim of this study is to compare and evaluate the dose distribution and physical
characteristics of two algorithms Anisotropic Analytical Algorithm (AAA) and Acuros XB (AXB) in
Eclipse v13.6 software in regions heterogeneous densities. Computed Tomography Simulation (CT –
Sim) data of 48 treated cancer patients (20 head and neck cancer (H&N) patients, 15 esophageal
cancer patients, 8 lung cancer patients with 3 Dimensions Conformal Radiation Therapy (3D-CRT)
and 5 lung cancer patients treated with Volumetric Modulated Arc Therapy (VMAT)) were used to re-
plan the Eclipse v13.6 software with two algorithm AAA and AXB. For all plans, the Quality of
Coverage (Q), the Conformity Index (CI), the Homogeneity Index (HI) and the dose volume
histograms (DVH) for the targets and the organs at risk (OARs) were compared and evaluated.
Pretreatment quality assurance (QA) was performed using the Electronic Portal Imaging Device
(EPID) for all VMAT plans, and the gamma index method was used to qualify the agreement between
calculations and measurements. In addition, total Monitor Units (MUs) and the calculation time were
investigated. The indicators obtained from the H&N VMAT plans calculated by AAA close to ideal
values than AXB. The total MUs obtained from two algorithms are approximately equal. The lung
cancer 3D – CRT plans, the indicators for target and OARs are approximately the same. However, the
calculation time of the AAA is faster than the AXB from 7.5 to 14 times. The indicator obtained from
the lung cancer VMAT plans calculated by two algorithms AAA and AXB are approximately equal.
The total MUs and time calculation are approximate the same. However, the V5, V10, V20 and Mean
Lung Dose (MLD) obtained from AAA is lower than AXB. For esophageal cancer VMAT plans, the
indicators HIRTOG, HIWu, and Q calculated by AAA close to the ideal values than AXB. However, the
indicators CIPaddick, CIICRU-62, V5, V10, V20 and MLD calculated by AXB are better than AAA. The
dose distribution indicators obtained from AAA algorithm are better than AXB algorithm in H&N
cancer and lung cancer plans. For the esophageal cancer plans, AXB algorithm gave the dose
distribution indicator are better than AAA.
Keywords: AAA, AXB, Conformity Index, Homogeneity Index, H&N cancer, Lung cancer,
Esophageal cancer, Eclipse v13.6.
COMPARISON AND EVALUATION FOR THE DOSE DISTRIBUTION AND PHYSICAL
32
I. INTRODUCTION
The human body consists of many
different types of cells, tissues, organs. They
have different materials densities. In
anatomical regions such as the brain, the
density is uniform, while in the head & neck
and thorax area are heterogeneous densities
such as lung, bone, teeth, sinus, nasal cavity
and mouth have complexities when calculation
dose distribution in radiotherapy [1].
Since September 2017, The Department
of Radiation Oncology and Radiosurgery –
108 Military Central Hospital is equipped
with TrueBeam STx accelerator system and
Eclipse v13.6 planning software. Head & neck
cancer patients, lung cancer patients and
esophagus cancer patients are indicated to
treat by radiotherapy on TrueBeam STx linear
accelerator, using 3D-CRT and VMAT
techniques, AAA algorithm. A convolution-
superposition algorithm used to calculate
radiation dose distribution in a treatment
planning system computer. Eclipse planning
software adds Acuros XB algorithm to
calculate doses in heterogeneous regions since
v10.0. AXB algorithm is given based on
solving the Linear Boltzmann transport
equation (LBTE) [2]. AXB increases accuracy
and reduces calculation time during the
planning process [2].
Version 13.6 includes 2 algorithms:
AAA and AXB applied to calculate the dose
for the plan. To understand the advantages
and disadvantages of two algorithms to
calculate the dose of AAA algorithms and
AXB algorithms. The indicators of dose
distribution, physical characteristics and
tolerance dose to healthy organs, plan with
two algorithms on the same CT image
sequence used for comparison.
II. MATERIALS AND METHODS
In heterogeneous regions, we
conducted retrospective studies based on
simulated CT data of 48 patients including
20 head and neck cancer patients, 15
esophageal cancer patients, 5 cancer patients
lung cancer were treated with the VMAT
technique and 8 lung cancer patients were
treated with the 3D-CRT technique at the
Department of Radiation Oncology and
Radiosurgery – 108 Military Central Hospital
from September 2017 to February 2019.
Thickness of each slice is 2.5 mm. The
position of patients is head first-supine and
simulated by CT GE Optima 580 machine.
Fig. 1. The arcs of VMAT plan for H&N cancer.
Treatment planning for head and neck
cancer patients using algorithm of calculating
AAA dose, from 2 to 3 flat same arcs with
avoidance sectors from 70 – 110 degrees and
250 – 290 degrees photon beam with 6 MV
energy level (Fig.1), dose rate of 600 MU/min,
dose prescription from 60 – 70 Gy with a dose
of 33-35 fractions.
Fig. 2. The fields of 3D-CRT Plan for lung cancer
PHAM QUANG TRUNG et al.
33
In the thorax area of 13 lung cancer
patients, the 3D-CRT technique and VMAT
technique tumor volume from 5.7 cm
3
to 476.2.
cm
3
were used to treat for 8 and 5 patients,
respectively. The energy of each photon beam of
the 3D-CRT technique using 2 – 4 fields is 8 MV
(Fig.2), and the VMAT technique using 3 – 5
arcs is 6 MV with the dose rate at 600 MU/min
(Fig.3). The dose prescription is 20 – 45 Gy with
a dose of 5 – 20 fractions. 15 esophageal cancer
patients were treated with the VMAT technique
with tumor volume from 49.5 cm
3
to 582.7 cm
3
.
The energy of each photon beam of the VMAT
technique using 3 – 5 arcs with avoidance sectors
from 60 – 120 degrees and 240 – 300 degrees is 6
MV or 8 MV, the dose rate of 600 MU/min. The
dose prescription is 41.4 Gy – 59.92 Gy with a
dose of 23 – 28 fractions (Fig. 4).
To compare the advantages and
disadvantages between the two algorithms,
the evaluation indicators of dose including:
Quality of coverage – Q [3], Conformity
Index – CI [4,5], Homogeneity Index – HI
[3,6] and physical characteristics – MUs are
used. Table I present the formula for
calculating the indicator.
Based on the Dose Volume Histogram
DVH (Dose Volume Histogram), we
compare and evaluate the value of tolerated
dose at OARs between the AAA and AXB
algorithms. Region – specific dose limits for
the techniques recommended by the
Radiation Therapy Oncology Group – RTOG
[7 – 10].
Pretreatment quality assurance (QA)
was performed using the Electronic Portal
Imaging Device (EPID) for all VMAT plans.
Fig. 3. The arcs of VMAT plan for lung cancer
Fig. 4. The arcs of VMAT plan for esophageal cancer
Table I. The formular of planning evaluation indicators.
Variables Formula Ideal value References
Q
A = 1 RTOG – 1993 [3]
CI
CIICRU - 62 =
A = 1 ICRU – 62 [4]
CIPaddick =
A = 1 Paddick [5]
HI
HI =
A = 0 Wu – Qiuhen [6]
HI=
1< A ≤ 1.1 RTOG – 1993 [3]
*Dmax = maximum dose, Dmin = minimum dose, DP = dose prescription, Dx = the percentage of the
prescribed dose covering x% planning target volume, PTV = planning target volume, PTV100 = the volume
PTV received 100% dose prescription, TV = target volume.
COMPARISON AND EVALUATION FOR THE DOSE DISTRIBUTION AND PHYSICAL
34
III. RESULTS
A. Head and Neck Cancer
The average value of Quality of
coverage – Q, Conformity Index – CI,
Homogeneity Index – HI, MUs and dose of
tolerance at OARs of 40 plans H&N cancer
patients is show in Table II.
Table II show the evaluation
indicators for tumor at the algorithm.
Regarding the ability to OARs established
radiotherapy plans met the evaluation
criteria [7 – 10]. The value of tolerated dose
at OARs, the algorithm AAA gives lower
dose value than the AXB algorithm such as
spinal cord (1.11%), brain stem (0.58%),
left inner ear (0.74%) and right inner ear
(1.22%), left optic nerve (3.25%) and left
eye (4.18%). But the dose value of the AXB
algorithm gives lower than the AAA
algorithm in other OARs such as 1.35% in
the mandible, 1.13% in the parotid gland
left and 0.31% in the parotid gland right,
0.56% in the right eye and 2.27% in the
right optic nerve. The difference between
results of AAA algorithm and ideal value is
smaller than the disparity in AXB AXB
algorithm results (Table I).
Table II. Average values of HI, CI, Q, MUs and tolerant doses at OARs in the head and neck region.
Variables AAA (Mean ± SD) AXB (Mean ± SD)
HI
Wu [6] (10
-1
) 0.57 ± 0.12 0.62 ± 0.13
RTOG [3] (10
-1
) 10.85 ± 0.17 10.94 ± 0.19
CI
Paddick [5] (10
-1
) 8.55 ± 0.29 8.46 ± 0.27
ICRU - 62 [4] (10
-1
) 10.62 ± 0.35 10.73 ± 0.36
Q [3] (10
-1
) 8.93 ± 0.84 8.98 ± 0.03
MUs 535.93 ± 56.56 533.34 ± 60.37
Spinal Cord Dmax (cGy) 3593.01 ± 425.22 3633.06 ± 432.44
Brain Stem Dmax (cGy) 4217.46 ± 549.52 4241.84 ± 548.67
Parotid Grand Right Dmean (cGy) 2202.77 ± 322.69 2196.03 ± 323.68
Parotid Grand Left Dmean (cGy) 2252.47 ± 334.39 2227.23 ± 320.28
Eye Right Dmax (cGy) 397.66 ± 143.41 395.43 ± 147.36
Eye Left Dmax (cGy) 421.84 ± 223.42 439.47 ± 216.99
Optic Nerve Right Dmax (cGy) 1667.02 ± 1108.07 1630.06 ± 1162.85
Optic Nerve Left Dmax (cGy) 1969.82 ± 1618.24 2033.86 ± 1518.27
Inner Ear Right Dmean (cGy) 2523.81 ± 1357.09 2554.61 ± 1536.69
Inner Ear Left Dmean (cGy) 2795.57 ± 1385.06 2816.22 ± 1386.81
Mandible Dmax (cGy) 6526.34 ± 949.01 6439.62 ± 939.66
*cGy = centigray, Dmean = mean dose, Dmax = maximum dose, SD = standard deviation.
PHAM QUANG TRUNG et al.
35
Fig. 5. HIRTOG index of 40 plans head and neck cancer patients
B. Lung Cancer
1. 3D – CRT
The average value of Quality of
coverage – Q, Conformity Index – CI,
Homogeneity Index – HI, MUs and dose of
tolerance at OARs of 16 plans lung cancer
patients is show in Table III.
Table III show the indicators for dose
assessment in tumors, the HIRTOG and HIWu
indexes calculated by results of the AAA
algorithm give closer to ideal values than
AXB algorithms. However, CIICRU-62 index,
Q and MUs, the AXB algorithm gives results
better than AAA algorithm. In terms of the
ability to OARs, established radiotherapy
plans met the evaluation criteria [7-10]. The
average dose into the spinal cord of the two
plans uses the AAA algorithm approximating
the AXB algorithm (1799.23 cGy compared
to 1790.19 cGy). In lung, the DLM values
are smaller than 2000 cGy, the values of the
two algorithms do not change much,
approximately equal (561.71 cGy with
558.93 cGy), varying by 0.49%. V5 volume,
the plans use the AXB algorithm higher than
the AAA algorithm 5.05%. Meanwhile with
V10, V20 volume, the plans use AAA
algorithm approximating AXB algorithm.
2. VMAT
The average value of Quality of
coverage – Q, Conformity Index – CI,
Homogeneity Index – HI, MUs and dose of
tolerance at OARs of 10 plans lung cancer
patients is show in Table IV.
Table IV show that HIRTOG, Q and MUs,
the two algorithms give approximate results.
HIWu, CIPaddick and CIICRU-62 indexes, AAA
algorithm gives better results than AXB
algorithm. Regarding the ability to organ at risk,
established radiotherapy plans met the
evaluation criteria [7 - 10]. The dose to the
spinal-cord in the plans using 2 algorithms AAA
and AXB are all Dmax < 4500 cGy. However,
the algorithm AAA gives the average dose value
to 0.94% lower than the AXB algorithm. For
lungs, lung volume received dose V5, V10, V20
and MLD calculation value AAA give lower
value than AXB algorithm respectively: 1.18%,
5.14%, 1.69%, 1.16%. The dose index for the
heart, the average Dmean value of the plans
when calculated with the AAA algorithm is
lower than the AXB algorithm.
COMPARISON AND EVALUATION FOR THE DOSE DISTRIBUTION AND PHYSICAL
36
Table III. Average values of HI, CI, Q, MUs and tolerant doses at OARs of 16 plans lung cancer patients
with 3D-CRT.
Variables AAA (Mean ± SD) AXB (Mean ± SD)
HI
RTOG [3] (10
-1
) 10.55 ± 0.08 10.74 ± 0.13
Wu [6] (10
-1
) 0.68 ± 0.10 0.70 ± 0.11
CI
Paddick [5] (10
-1
) 5.22 ± 1.03 5.09 ± 1.20
ICRU – 62 [4] (10-1) 11.35 ± 3.73 11.06 ± 3.20
Q [3] (10
-1
) 8.58 ± 0.76 8.95 ± 0.32
MUs 424.94 ± 66.12 417.44 ± 61.57
Spinal Cord Dmax (cGy) 1799.23 ± 909.20 1790.19 ± 857.67
Lung
Dmean (cGy) 561.71 ± 257.04 558.93 ± 261.43
V5 (%) 28.99 ± 11.13 30.60 ± 13.14
V10 (%) 18.14 ± 4.75 18.08 ± 4.73
V20 (%) 10.13 ± 6.25 9.82 ± 5.87
Table IV. Average values of HI, CI, Q, MUs and tolerant doses at OARs of 10 plans lung cancer patients
with VMAT
Variables AAA (Mean ± SD) AXB (Mean ± SD)
HI
RTOG [3] (10
-1
) 10.82 ± 0.26 10.80 ± 0.17
Wu [6] (10
-1
) 0.51 ± 0.06 0.55 ± 0.06
CI
Paddick [5] (10
-1
) 8.91 ± 0.68 8.80 ± 0.18
ICRU – 62 [4] (10-1) 10.23 ± 0.74 10.27 ± 0.21
Q [3] (10
-1
) 9.13 ± 0.56 9.17 ± 0.51
MUs 553.75 ± 119.54 557.37 ± 127.92
Spinal Cord Dmax (cGy) 2262.44 ± 733.54 2283.80 ± 478.96
Heart Dmean (cGy) 534.78 ± 532.05 540.94 ± 540.87
Lung
Dmean (cGy) 629.28 ± 188.58 636.60 ± 197.32
V5 (%) 35.53 ± 7.95 35.95 ± 7.59
V10 (%) 21.76 ± 8.00 22.88 ± 8.81
V20 (%) 7.68 ± 3.71 7.81 ± 3.68
C. Esophageal Cancer
The average value of Quality of
coverage – Q, Conformity Index – CI,
Homogeneity Index – HI, MUs and dose of
tolerance at OARs of 30 plans esophageal
cancer patients is show in Table V.
Table V show that HIRTOG, HIWu, Q, the
AAA algorithm all results close to the ideal
value than the AXB algorithm, but the
CIPaddick and CIICRU-62, the AXB algorithm
gives results better than compared with the
AAA algorithm. In terms of the ability to
OARs, radiotherapy plans are almost met the
criteria [7-10]. The dose to the spinal cord in
the plans when using the algorithms AAA and
AXB are both Dmax values < 4500 cGy and
have approximately the same value. For lungs,
lung volume received dose V5, V10, V20 and
Dmean calculated by AAA algorithm gives
PHAM QUANG TRUNG et al.
37
higher value than AXB algorithm,
respectively: 2.99%, 1.19%, 1.01%, 1.86%.
The dose index for the heart is the average
Dmean value of the plans when calculated
with the AAA algorithm and the AXB
algorithm for approximately the same value.
Table V. Average values of HI, CI, Q, MUs and tolerant doses at OARs of 30 plans esophageal cancer
patients with VMAT
Variables AAA (Mean ± SD) AXB (Mean ± SD)
HI
RTOG [3] (10
-1
) 11.04 ± 0.16 11.12 ± 0.15
Wu [6] (10
-1
) 0.73 ± 0.11 0.77 ± 0.11
CI
Paddick [5] (10
-1
) 8.41 ± 0.63 8.61 ± 0.73
ICRU- 62 [4] (10
-1
) 10.28 ± 0.74 10.08 ± 0.90
Q [3] (10
-1
) 8.56 ± 0.78 8.34 ± 0.92
MUs 477.46 ± 69.53 469.75 ± 71.12
Spinal Cord Dmax (cGy) 3970. 29 ± 252.24 3979.25 ± 222.28
Heart Dmean (cGy) 1609.59 ± 969.44 1604.82 ± 968.27
Lung
Dmean (cGy) 974.77 ± 194.12 956.93 ± 185.79
V5 (%) 50.02 ± 8.90 48.57 ± 8.30
V10 (%) 34.02 ± 6.41 33.62 ± 5.85
V20 (%) 16.02 ± 5.36 15.86 ± 5.30
Fig. 6. HIRTOG index of 30 plans esophageal
cancer patients
Fig. 7. Volume received 5 Gy dose in lungs of 30
plans esophageal cancer patients
Fig. 8. Volume received 10 Gy dose in lungs of 30
plans esophageal cancer patients
Fig. 9. Volume received 20 Gy dose in lungs of 30
plans esophageal cancer patients
COMPARISON AND EVALUATION FOR THE DOSE DISTRIBUTION AND PHYSICAL
38
IV. DISCUSSIONS
The previous studies on heterogeneous
regions of J. Mazurier et al. [13], W.-Z. Chen
et al. [14], YL Woon et al. [15] have shown the
AXB algorithm calculated the dose more
accurate, close to the actual measured value
and Monte – Carlo simulation.
However, in the process of studying and
calculating the data collected at the Department
of Radiation Oncology and Radiosurgery – 108
Military Central Hospital, we found the
algorithm AAA and AXB both have their own
advantages and disadvantages.
For regions with uniform density, the
results are calculated by two algorithms for
similar results. It consistent with the studies of
YL Woon et al. [15] but the calculation time
AXB algorithm is slower than AAA algorithm.
Therefore, it is preferable to use AAA
algorithm to plan with tumors in areas with
relatively uniform density.
For heterogeneous regions such as head
and neck regions, tissue density changes
insignificantly, so the results are calculated by
the algorithm. AAA gives no significant
difference in the value of tumor entry
compared to AXB algorithm. However, the
AAA algorithm for tumor dose assessment
indicators is slightly better than the AXB
algorithm, so it is currently preferred to plan.
In case tumors close to the skin or near
the air sinus, it is preferable to use AXB
algorithm because the accuracy of this
algorithm is higher than the AAA algorithm.
For the thorax area with large tissue density
changes. In terms of 3D-CRT technique, the
results between the two algorithms are similar
but due to the calculation time of AAA
algorithm is much faster than the AXB
algorithm, so the case of lung cancer is
indicated technically 3D-CRT, we use AAA
algorithm to plan. In terms of VMAT
technique, this is a high technique, using a
large number of MUs, so a higher accuracy is
needed to avoid much impact on the OARs.
Therefore, it is important to plan the
appropriate algorithm to produce accurate
results. The study results show that the HIRTOG
index calculated by the AXB algorithm is
higher than the AAA algorithm, which proves
that the dose distribution for AXB algorithm
will be higher than the AAA algorithm.
There is a big difference in the tolerated
dose on the OARs between the two algorithms.
For example, the volume of receiving V5 lung
dose in esophageal cancer is calculated by the
algorithm AAA for higher volume receiving
dose than AXB algorithm. This is consistent
with the published study of Y.L. Woon et al.
[15]. In esophageal cancer, large volume of
tumor, spread over many different density areas,
close to the lungs, in many cases we have to
accept V5 volume greater than the
recommended threshold, specific data is shown
in Fig.7 with the red line is the recommended
threshold (50%), the green dot is the AAA
algorithm, the orange dot is the AXB algorithm.
The results of treatment are assessed on
two criteria: tumor eradication and protection
of healthy organs. In OARs, the lungs are
particularly sensitive to radiation, manifesting
symptoms after 1 – 3 months if overdose [16],
calculating the correct tolerance dose to OARs
especially the lung is very important therefore
the use of AXB algorithm to use dose
calculation at the thorax area. This is consistent
with the reality being implemented at the
Department of Radiation Oncology and
Radiosurgery – 108 Military Central Hospital.
PHAM QUANG TRUNG et al.
39
This study has only been studied in
the head & neck and thorax regions so we
will continue to compare and evaluate the
dose distribution on other areas of the body
such as the abdomen, pelvic area with the
number of patients studied greater
resuscitation to statistically position each
tumor. There by, making recommendations
on the use of dose calculation algorithms for
tumors in the body regions.
V. CONCLUSIONS
The time advantage should use AAA
algorithm to calculate the dose to improve
working efficiency. However, with tumors
located near the air sinus or close to the skin,
use the AXB algorithm to calculate the dose.
For thorax area, we will prioritize the use of
AXB algorithm to calculate the dose. This is
consistent with previously published studies of
W. S. Rh et al. [11] and L. Wang et al. [12].
However, the above conclusions are for
reference only, the use of algorithms must
depend on many factors such as location, size
of the tumor, the system of radiotherapy that
the facility equipped, ... that medical physicists
will choose the most suitable algorithm.
ACKNOWLEDGEMENTS
We would like to thank oncologist and
medical physicists in the Department of
Radiation Oncology and Radiosurgery – 108
Military Central Hospital has facilitated and
provided suggestions for us to complete this
research. We would like to thank the support of
VINATOM : project CS/19/04-02.
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comparison_and_evaluation_for_the_dose_distribution_and_phys.pdf