Beam modeling
In this work, two main proton therapy techniques, i.e. PBS and PSPT, have been simulated using Monte Carlo GATE code. Shanghai Advanced Proton Therapy (SAPT) facility, a synchrotron-based active scanning proton therapy system, was simulated. Figure 1. Depicts the geometrical characteristics of SIEMENS IONTRIS system at SAPT. In this system proton beams are extracted from synchrotron and drifted to the nozzle, by using the paired scanning magnets in horizontal (X) and vertical (Y) directions. Proton beam spot is moved around the isocenter with energies between 70–235 MeV (8). The advantage of this technique against scattering-based technique is that a range shifter is not required to shape the beam to the tumor volume, because the synchrotron accelerate the protons slowly and conform the tumor dose in the dimension lateral to the beam (8). The system characteristics are listed in Table 1. Dose delivered to the phantom is monitored in real time by using two parallel-plate ionization chambers. Spot size and beam optic are measured by using the position detectors. Unlike discrete scan mode (pixel scan), IONTRIS provided a continuous beam scan mode (raster scan).
Table 1
The characteristics of SAPT proton therapy system obtained from (8).
Item
|
value
|
Energy (MeV)
|
70.0-235.0
|
Field size (cm2)
|
30.0×40.0
|
Scanning magnet x to isocenter distance (cm)
|
287.0
|
Scanning magnet y to isocenter distance (cm)
|
242.0
|
Nozzle to isocenter distance (cm)
|
40.0
|
Scan speed in x (cm/ms)
|
2.0
|
Scan speed in y (cm/ms)
|
0.5
|
Dose rate (Gy/min)
|
2.0
|
Passive scattering system geometry was obtained from (9). In this design, proton beam passes through the vacuum window, first scatterer, first monitor, range modulator wheel, second scatterer, second monitor, collimator, and the size-changeable snout (brass tube). The first scatterer is set for spreading the beam laterally and the range modulator wheel spread the beam longitudinally. Two jaws can provide a size-changeable treatment field, while the aperture can control the lateral conformity of the beam.
The strategy reported by Grevillot et al. (10) has been adopted for PBS system simulation. a complete treatment plan in PENCIL BEAM GATE SOURCE TPS including two main components, source description and plan description has been defined (10, 11). In PBS simulation, the source description file defines the beam delivery system with a set of the polynomial equations which allows calculation of the optical and energy properties of each pencil beam at the nozzle output as a function of beam energy. It consists of eight equations; where, two equations describe energy properties and the rest of the equations describe optical properties. The plan description file contains one or more fields described by gantry angle and a set of pencil beams.
In PSPT design, the simulated geometry consists of a nozzle and a water phantom (Fig. 2) (9). The system characteristics including the nozzle components and materials, are listed in Table 2. All the components are simulated in mm accuracy. For the proton beam, the mean primary energy was set on 212.2 MeV, with a Gaussian distribution of 3.5%. In the simulation, proton beam, before entering to the nozzle, passes from 10 cm air, and after the exit window, passes from 57 mm air, just before entering to the water phantom.
Table 2
Specifications of simulated PSPT nozzle.
Component
|
Material
|
Length
(mm)
|
Outer radius (mm)
|
Inner radius (mm)
|
Range shifter tube
|
Brass
|
254
|
82.6
|
76.2
|
First collimator
|
Brass
|
10
|
76.2
|
6.4
|
Range shifter
|
Lexan
|
A
|
62.5
|
--
|
Second collimator
|
Brass
|
10
|
57.2
|
12.7
|
Monitor chamber tube
|
Brass
|
681
|
57.2
|
51.4
|
Vacuum window
|
Aluminum
|
0.25
|
254
|
--
|
Taper tube
|
Brass
|
203
|
44.3
|
38.5
|
Circular aperture
|
Brass
|
161
|
44.3
|
b
|
Half-Circular aperture
|
Brass
|
9.5
|
20
|
12
|
Monitor chamber plate
|
Brass
|
9.5
|
20
|
13.5
|
a: is the range shifter length e and varies in the simulation.
b: Internal and external dimensions vary depending on the therapeutic.
Brass (8.49 g/cm3) is composed of 61.5% Copper, 35.2% Zinc and 3.3% lead; Lexan density: 1.2gr/cm3
|
In this study, two independent Monte Carlo-based simulators for PBS and PSPT have been developed and benchmarked against experimental measurements reported in the literature. GATE code, a multipurpose Monte Carlo code based on the libraries of the Geant4 toolkit, has been used in this simulation (version 8.2 and QGSP-BERT-EMZ physical list) (12)). The physical list selected for proton transport simulation is QGSP-BERT-EMZ.
Clinical phantom study
The clinical test suite recommended by TG-119 includes structures for prostate, head and neck (H&N), and C-shape cases. The prostate phantom, uses the CTV, PTV, rectum, and bladder; the head & neck case, includes the PTV, cord, and parotide (left and right); and the C-shape phantom uses a PTV, and a core structure. The PTV in C-shape phantom wrapped around a core, whose outer surface is 5 mm from the inner surface of the PTV (13).
Plan description
For a given radiation field, there are two main objectives: maximizing the uniform dose at the target and minimizing the non-target dose (14). Inverse planning algorithm proposed by Sánchez et al. (15) applied for spot and beam selection. The objective function and target in this optimization was set according to the TG-119 report (16) and other references (15, 17, 18). The accuracy of the dose volume histogram obtained from GATE simulation was benchmarked against the results reported by Sánchez et al (15). Hence, clinically relevant dosimetric parameters were compared in terms of mean relative error using Eq. (1):
where, Di represents the dose parameters from our simulation and Di' represents the reference data.
For the TG-119 C-shape phantom the dose goals was set base on the PTV ( D95 = 50 Gy, D10 < 55 Gy), and for core (D10 < 10 Gy). A single proton field was set on the target to maximize the biological effect (15). For H&N case 70 GyRBE dose (in 35 fraction) was prescribed to be delivered to the PTV70 (D20 < 55 GyRBE, D99 < 46.5 GyRBE, and D90 = 50 GyRBE). While maximum dose goal to the OARs were restricted as following: dose to the cord (max < 50 GyRBE), brain stem (max < 54 GyRBE) and for parotide (D50 < 20 GyRBE). To minimize the biological effect on non-target volumes, two filed with 50, and 310 degree angles were set (15, 17). In the prostate case, prescribe dose was selected 78 GyRBE (in 39 fraction) (15, 18), with the goal dose to PTV (D5 < 83Gy, and D95 > 75.6 Gy). Dose to rectum was set to V70GyRBE < 30 % and V50GyRBE < 60 %. Dose to bladder was restricted by V70GyRBE < 35%, V50GyRBE < 60 %, and for femur it was defined V50GyRBE < 5 %. Two parallel opposed field was used to minimize the dose effect on the normal tissue. During the planning, relative biological effect of protons was applied by a constant factor of 1.1.
Quantitative analysis
Both PSPT and PBS facilities were benchmarked against experimental data in terms of depth dose curve and SOBP plan. The average point-to-point difference and statistical analysis (T-test) between each series of data were calculated. When the MC simulators of two systems have been validated, they were compared under the same simulation parameters using water phantom and TG-119 test cases. The physical dose parameters including BPW50, peak location, range, and peak-to-entrance dose ratio were compared. In addition, based on the SOBP plan, the factor of
Where di and drefi refers to the simulation and measurement, ∆ is the step between two point, and L is the maximum range.
conformity and penumbra were compared. Furthermore, DVH-driven clinical parameters obtained from TG-119 simulation were compared between two proton therapy techniques.